The number needed to multiply the amount of each ingredient by to adjust the recipe is 5. It's determined by dividing the number of people that needs to be served by the number of people the provided ingredients will serve.
The steps involved in finding out how much all-purpose flour needed to make 60 servings of chocolate chip cookies is multiplying Quantity of flour provided by number needed to multiply each ingredients with.The steps involved in finding out how much baking soda needed to make 60 servings of chocolate chip cookies is multiplying Quantity of baking soda provided by number needed to multiply each ingredients with.Quantity of other ingredients needed expressed as a fraction:1 ¼ teaspoons salt
3 ¾ cups sugar
5 eggs
10 tablespoons milk
10 ½ cups chocolate chips
The number of eggs needed for 60 servings than 12 servings is 4 eggs. This is obtained by subtracting eggs needed for 12 servings from eggs needed for 60 servingsThe number needed to multiply the amount of each ingredient by to adjust the recipe to 78 servimgs is 6 ½. It's determined by dividing the number of people that needs to be served by the number of people the provided ingredients will serve.How to adjust given ingredients to the required number of servingsThe ingredients provided serves = 12 peopleNumber of people that needs to be served = 60 people1. Number needed to multiply the amount of each ingredient by to adjust the recipe = Number of people that needs to be served ÷ The ingredients provided serves
= 60/12
= 5
2. Steps involved in finding out how much flour you will need to make 60 servings of chocolate chip cookies.
Quantity of flour provided = 1 ¼ cups
Flour needed for 60 servings = Quantity of flour provided × number needed to multiply each ingredients with
= 1 ¼ × 5
= 5/4 × 5
= 25/4
= 6 ¼
3. Steps involved in finding out how much baking soda you will need to make 60 servings of chocolate chip cookies
baking soda needed for 60 servings = Quantity of baking soda provided × number needed to multiply each ingredients with
= ½ × 5
= 5/2
= 2 ½
4. Teaspoons salt = ¼ × 5 = 5/4 = 1 ¼
Cups sugar = ¾ × 5 = 15/4 = 3 ¾
Eggs = 1 × 5 = 5
tablespoons milk = 2 × 5 = 10
Cups chocolate chips = 1 ¾ × 6 = 7/4 × 6 = 42/4 = 10 ½
5. The number of eggs needed for 60 servings than 12 servings = eggs needed for 60 servings - ieggs needed for 60 servings
= 5 - 1
= 4
6. Number needed to multiply the amount of each ingredient by to adjust the recipe to 78 servings = Number of people that needs to be served ÷ The ingredients provided serves
= 78/12
= 6 ½
7. One time I made a mistake of keeping bad company, it really affected my studies because I lost concentration in school. My parents were disappointed in me but they helped me get back on the right track.
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a sample is the set of all the people or objects whose properties are to be described and analyzed by the data collector.
The statement that "the sample is set of all people or objects whose properties , are to be described and analyzed by the data collector " is False .
In the question ,
it is given that ,
The sample is the set of all the people or objects whose properties are to be described and analyzed by the data collector .
But we know that the Population is defined as "set of all people or objects whose properties are to be described and analyzed by the data collector"
and the Sample is the Subset or subgroup of the population .
Therefore , the given statement is False .
The given question is incomplete , the complete is
State whether the statement is True or false "a sample is the set of all the people or objects whose properties are to be described and analyzed by the data collector " .
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A chef got 8 bags of onions. The red onions came in bags of 2 and the yellow onions came in bags of 6. If the chef got a total of 28 onions, how many bags of each type of onion did he get?
Answer: First you have to think about what to multiply 9 by to get a number that ends with 6. The answer to that is 3. So 9*3=36. Then you need to subtract 36 from 86. You get 50. So now you need to divide. 36/9=3 and 50/10=5. So the chef bought 3 bags of red onions and 5 bags of yellow onions.
Step-by-step explanation:
Answer:
3 yellow onion bags, 5 red onion bags
Step-by-step explanation:
hope it helped!
This is my last question help me please
Answer:
Line 1: [tex]y=-x+2[/tex]
Line 2: [tex]y=2x-1[/tex]
Step-by-step explanation:
Line 1
Staring with line one, let's find the slope!
Between the two known points, the rise, or change in y, is 2, and the run, or change in x, is -2. The slope is the rise over the run, so:
[tex]-\frac{2}{2} =-1[/tex]
The slope is negative 1! The line crosses the y-axis at [tex]y=2[/tex], so 2 is the y-intercept. Using the slope-intercept formula, the equation is:
[tex]y=-x+2[/tex]
Line 2
To find the slope of line 2, find the rise and the run between the two known points! The rise is 4, and the run is 2. Simplified, this is:
[tex]\frac{4}{2} =2[/tex]
The slope is 2! The line crosses the y-axis at [tex]y=-1[/tex], so -1 is the y-intercept. Using the slope-intercept formula, the equation is:
[tex]y=2x-1[/tex]
Answer:
y=2x-1 , y=x+2 , the solution of the system is (1,1)
Step-by-step explanation:
Lines can be expressed in the form y=mx+b where m is the slope and b is the y-intercept.
m= rise/run
Looking at the blue line:
m =2/1 =2
The slope is 2 since you rise 2 squares and run to the right one square.
We see that the line crosses the y-axis at (0,-1) so the y-intercept is -1.
Putting it all together: y=2x-1
Looking at the red line:
m = -1 / 1 = -1
We see that the line crosses the y-axis at (0,2) so the y-intercept is 2.
Putting it all together: y=1x+2 or simply y=x+2
The solution to the system is the point that satisfies both equations. Rather than solving it algebraically, we can simply look at the graph and find a point that is on both lines, aka the intersection. In this case, the intersection is (1,1).
What is the value of the expression -23 - 12 - (-33)?
A: -2
B: 22
C: -68
D: 44
Answer: -2 ==> A
Step-by-step explanation:
-23 - 12 - (-33) =
-23 - 12 + 33 = ==> subtracting by a negative number is basically adding by the positive number
-(23 + 12) + 33 =
-35 + 33 =
-(35 - 33)=-2 ==> A
Answer: -2
Step-by-step explanation:
What is f(9) when the slope is 3
Answer:
27
Step-by-step explanation:
it's a function with 3 as the slope and x as 9. So it's 27.
On Friday, a local hamburger shop sold a combined total of 303 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Friday?
Answer:
101
Step-by-step explanation:
Since the total number of cheeseburgers was twice the number of hamburgers, let the number of sold hamburgers be h
Twice of h = 2(h)
Hence,
2(h) + h = 303
2h + h = 303
3h = 303
Divide both sides by the coefficient of h
h = 101
Therefore, the total number of hamburgers sold was 101
Janette is placing a rectangle in the coordinate plane. She
knows that the longer side of the rectangle is 2 times its shorter
side. She places the longer side on the x-axis.
What coordinates should she assign to the top-right vertex of the
rectangle?
Enter your answer in the boxes.
Answer:
(2a,a)
Step-by-step explanation:
Hope this helps!
What is the standard form of a quadratic function passing through the points (2,4) , (3,5) and (4,3)
The standard form of a quadratic function is y = 3/2x² + 17/2x - 7
How to determine the quadratic equation?From the question, the points on the quadratic equation are given as
(2,4), (3,5) and (4,3)
The standard form of a quadratic equation is represented as
y = ax² + bx + c
So, we have
Point (2,4):
4a + 2b + c = 4
Point (3,5):
9a + 3b + c = 5
Point (4,3):
16a + 4b + c = 3
Solving using an online calculator. we have
a = 3/2, b = 17/2 and c = -7
Substitute a = 3/2, b = 17/2 and c = -7 in y = ax² + bx + c
y = 3/2x² + 17/2x - 7
Hence, the equation is y = 3/2x² + 17/2x - 7
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How to graph p(x)=-3x-1
The graph of the equation p(x) = -3x- 1 has been plotted
The equation is given that
p(x) = -3x - 1
We know the slope intercept form of the line
y = mx + b
Where m is the slope of the line
b is the y intercept
Compare both equation
The slope of the line m = -3
The y intercept b = -1
At x = 1
The value of p(1) = -3(1) -1
= -3 - 1
= -4
At x = 2
The value of P(2) = -3(2) -1
= -6 - 1
= -7
Substitute the value for x and find the value of y.
Draw the graph using the points
Hence, the graph of the equation p(x) = -3x- 1 has been plotted
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There are 240 kids in primary school 2/5 of pupils come to school by car and 15% walk. The remainder came by bus. How many came by bus?
Answer:
132
Step-by-step explanation:
240/5=48
48*2=96
240-15%=204
240-204=36
96+36=132
The number of pupils who came by bus is 108.
Total number of kids in school = 240
Fraction of pupils who came to school by car = 2/5
Number of pupils who came to school by car = [tex]\frac{2}{5}[/tex] × 240
= 96
Percentage of pupils who came to school by walk = 15 %
Number of pupils who came to school by walk = [tex]\frac{15}{100}[/tex] × 240
= 36
Number of people who came by bus
=Total number of kids in school - number of pupils who came by car - number of pupils who came by walk
= 240 - 96 - 36
= 108
Therefore, the number of pupils who came to school by bus = 108.
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HELPPP so the man bought a tv worth $1,700, and then each week he continued to spend $700 weekly WHAT IS THE EXPRESSION???? HELP (variable is X)
Answer:
1700 - 700x
Step-by-step explanation:
assuming x is the number of weeks, the equation is 1700 - 700x equals the amount you are trying to solve for. You can say you are solving for y.
The area of a rectangle i 223. 2 m2. If the length i 16 m, what i the perimeter of the rectangle?
The perimeter of the rectangle is 59.9 m.
The area of the rectangle is = 223.2 m²
the length(L) of the rectangle is = 16 m
we know that the area of the rectangle is given by
Area = Length x Breadth
A = LB
therefore ,
LB= 223.2
16 x B = 223.2
B = 223.2/ 16
B = 13.95 m
∴ breadth or the rectangle is 13.95 meter.
Now , we know that the perimeter of the rectangle is given by ,
(P) perimeter = 2( Length + Breadth )
P = 2(L + B)
P = 2( 16 + 13.95)
P = 2( 29.95)
P = 59.9 m
So the perimeter of the rectangle is 59.9 meter.
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Directions: State all the possible rational zeros for each function.
f(x) = 3x² + 2x - 1
The possible rational zeros are x = -1 and x = 1/3 for the given function f(x) = 3x² + 2x - 1.
What is a quadratic function?The quadratic function is defined as a function containing the highest power of a variable is two.
The function is given in the question as:
f(x) = 3x² + 2x - 1
To determine possible rational zeros for the given function.
f(x) = 3x² + 2x - 1
For finding rational zeros, f(x) = 0
3x² + 2x - 1 = 0
3x² + 3x - x - 1 = 0
3x(x +1) - 1(x +1) = 0
(x +1)(3x - 1) = 0
(x +1) = 0 and (3x - 1) = 0
x = -1 and 3x = 1
x = -1 and x = 1/3
Thus, the possible rational zeros are x = -1 and x = 1/3 for the given function f(x) = 3x² + 2x - 1.
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a sugar solution was made by mixing 8 gal of a 11% sugar solution and 4 gal of a 89% sugar solution. what is the concentration of the mixture ?
PLEASE HELPP!!! MORE POINTS AND BRAINIEST MARK!
Mr. Gonzales would like to create a playground in his
backyard. He has 20 ft of fencing to enclose the play
area. Use this information for Items 10-13. S
10, Write a quadratic function in standard form that
models f(x), the total area of the playground in
square feet in terms of its width x in feet. Then
graph f(x).
11. Write the x- and y-intercepts of f(x) and interpret
them in terms of the problem.
12. Give the reasonable domain and range of f(x) as
inequalities, in interval notation, and in set
notation. Explain how you determined the
reasonable domain and range..
13. What is the maximum area for the playground?
What are the dimensions of the playground with
the maximum area?
Please, I need this tmr!
The quadratic equation is −x²+10x. Domain for the given equation is (0,10) and the Range is (0,25]. The x-intercept is (0,10) and the area is 10.
What is equation?Equations come in two varieties: identities and conditional equations. All possible values of the variables result in an identity. Only certain combinations of the variables' values make a conditional equation true. Two expressions joined by the equals symbol ("=") form an equation.
Here,
quadratic function in standard form that models f(x), the total area of the playground in square feet in terms of its width x in feet,
f(x)=−x²+10x
The graph is given below,
Domain=(0,10)
range=(0,25]
To determine the domain that must exist between them, we used the xx-intercepts. We excluded them from the domain because the area at the x-intercepts is 0.
Since an area must be greater than 0, y>0y>0 follows. Remembering that the vertex of the graph of f(x) has the maximum point of (5,25) the maximum value for y is 25.
−x²+10x is the quadratic equation. The domain and range of the given equation are (0,10) and (0,25), respectively. (0, 10) is the x-intercept, and 10 is the area.
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Pressure =
72 N
A
Calculate the force when the pressure is 18 N/m² and the area is 4 m².
Select your answer.
Force
Area
9.5 N
B
14 N
C
22 N
D
Pressure = Force/Area
According to question, we have
18 = Force/4
force = 72 N
My decimal is 300ths less than 3/10
Answer:
0.001? or -299.7
Step-by-step explanation:
so i don't have idea what do you meaning so
0,3:300=0.001 or 0,3-300=-299.7
so i think i help
Use the figure below for the following problems (not drawn to scale).
Given: m/1 = 70.
What is m25?
O a
.Ob
Oc
Od
125⁰
40°
70°
55°
2
76
The value of m∠5 is 125°. option A is the correct answer
From the question, we have
m∠1=70°
As the sides are equal.
∠2=∠3=(180°-70°)/2
= 55°
∠5 = 180°-55° (Linear pair)
= 125°
Subtraction:
Subtraction represents the operation of removing objects from a collection. The minus sign signifies subtraction −. For example, there are nine oranges arranged as a stack (as shown in the above figure), out of which four oranges are transferred to a basket, then there will be 9 – 4 oranges left in the stack, i.e. five oranges. Therefore, the difference between 9 and 4 is 5, i.e., 9 − 4 = 5. Subtraction is not only applied to natural numbers but also can be incorporated for different types of numbers.
The letter "-" stands for subtraction. Minuend, subtrahend, and difference are the three numerical components that make up the subtraction operation. A minuend is the first number in a subtraction process and is the number from which we subtract another integer in a subtraction phrase.
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What type of polygon is this figure
Answer:
Step-by-step explanation:
Denise bake 14 cookies for Wednesday night book club for 4 people how many cookies should she bake next time if 12 people are coming
Answer: The answer is 56
Step-by-step explanation: bc 14 cookies is for 4 ppl and there are 12 ppl next time 4x3=12 so 14+14+14+14= 56 u would add 3 more 14's bc 14 cookies for 4 ppl and to check it 56 divided by 4 is 14.
here is a line that includes the point (9,1) and has a slope of 1/9. what is its equation in slope intercept form?
[tex](\stackrel{x_1}{9}~,~\stackrel{y_1}{1})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{1}{9} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{ \cfrac{1}{9}}(x-\stackrel{x_1}{9}) \\\\\\ y-1=\cfrac{1}{9}x-1\implies {\Large \begin{array}{llll} y=\cfrac{1}{9}x \end{array}}[/tex]
ASAP! exponent rules.
The error occurs in Litas work is in step 3 and step 4.
What is Exponential Function?An exponential function is a mathematical function of the following form:
f ( x ) = aˣ where x is a variable, and a is a constant called the base of the function.
The given expression is
25⁻⁴/(5⁻²)²
The given steps are
Step 1,
25⁻⁴/(5⁻²)²
Step 2,
(5²)⁻⁴/(5⁻²)²
Step 3,
(5²⁻⁴)/(5⁻²⁺²)
The step 3 is wrong because the exponents should be multiplied but not added.
The actual step should be
(5⁻⁸)/(5⁻⁴)
Hence the error occurs in Litas work is in step 3 and step 4.
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I need to write the second equation, the first is right
Step-by-step explanation:
well that is the really easy one :
the number of produced drills cannot be more than 210 per day.
while the first inequality addressed the work hours, the second simply addresses the number of drills.
therefore,
x + y <= 210
what is 32 times 45 and what does uprising mean
The solution of the mathematical statement is 1440 and uprising is a change in direction of a point in the coordinate plane
How to evaluate the expression?From the question, we have the following mathematical statement that can be used in our computation:
"what is 32 times 45"
This means that
32 times 45
Express as numbers
So, we have
32 x 45
Evaluate the product
So, we have
1440
Hence, the result is 1440
The meaning of uprisingThere is no direct term for uprising in mathematics.
However, the closest synonyms to uprising is revolution (in this case, it is rotation)
Rotation (uprising) implies that we change the direction of a shape, figure or object.
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Which of the following graphs are identical?
[tex]y = \sqrt{x} \\ y = \sqrt[3]{x} \\ y = \sqrt{ - x} \\ y = - \sqrt{x} \\ y = \sqrt[3]{x} [/tex]
We can easily see that two similar equation of under cube root of x.
So, the graph of cube root of x is identical.
Explain graph of under root x?
The graph of under root x is positive half of parabola, consist of origin (0, 0). Its symmetric on the positive x-axis.
Explain the graph of under cube of x?The graph of the cube root function f(x) = ∛x.Take the numbers -8, -1, 0, 1, and 8 in the x column calculate the cube root of each of these numbers, and fill them in the column labeled y. Then we have 5. Just plot them and join them by a curve. As this curve is not complete, just extend it on both sides.
According to given data in question:We can easily see that two similar equation of under cube root of x.
So, the graph of cube root of x is identical.
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Answer:
D F on edge
next one is A C D
Step-by-step explanation:
trust
Solve this equation using the "Distributive Property".
[tex] \sf 3(x - 2) = 21[/tex]
Answer:
x = 9
Step-by-step explanation:
Start by dividing both sides by the singular number, 3. We divide by 3 and not 21 because 21 is the result of the equation, not the coefficient.
[tex]\frac{3\left(x-2\right)}{3}=\frac{21}{3}[/tex]
We got 21 over 3 because you cannot divide 3 times an unknown number subtracted by 2 by 3. This is because we do not know the number. So that's where 21 comes in.
Next, simplify this equation by dividing whole numbers.
[tex]\frac{3}{3} = 1[/tex]
[tex]1\left(x-2\right) = \left(x-2\right)[/tex]
[tex]\frac{21}{3} = 7\\= x-2 = 7[/tex]
Lastly, add 2.
[tex]x - 2 + 2 = 7 + 2\\2 + 2 = 4\\7 + 2 = 9\\= x - 4 = 9\\x = 9[/tex]
Why x - 4 is 0: We assume x is always equal to 1, since 4 does not go into 1, the result would be 0. x - 0 = 0. Therefore, the problem became x = 9.
Hope this helps!
PLEASE HURRY !! A cone has a radius of 10 inches and a height of 6 inches.
What is the volume of the cone to the nearest tenth in ³.
Use 3.14 to approximate pi
628 in^3
157 in^3
125.6 in^3
634in^3
Volume of the cone is 628 In^3
What is cone?
A cone can be seen as a set of non-congruent circular disks that are stacked on one another such that the ratio of the radius of adjacent disks remains constant.
Cones typically have pyramidal shapes with circular cross sections. A right cone is a cone with the vertex located above the base's middle. Right circular cone is another name for it. If you know the height and radius of a cone and plug those values into a formula, you can quickly determine the volume of a cone.
The volume of a cone defines the space or the capacity of the cone. A cone is a three-dimensional geometric shape having a circular base that tapers from a flat base to a point called apex or vertex. A cone is formed by a set of line segments, half-lines or lines connecting a common point, the apex, to all the points on a base that is in a plane that does not contain the apex.
According to the question
The volume of a cone = (1/3) πr2h cubic units
r=10 inch
h=6 inch
π=3.14
Volume=0.33(3.14)(10)(10)(6)
volume=628 [tex]inch^3[/tex]
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if g (x) = 3x +5, for which value of x does g (x) =17?
Answer:
x = 4
Step-by-step explanation:
g (x) = 3x + 5
3x + 5 = 17
subtract 5 from both sides
3x = 12
divide by 3
x = 4
A study was conducted on the effect of daytime running lights on cars. Researchers gathered data from a random sample of 3,248 drivers and measured quite a few variables, in addition to the explanatory variable of daytime running lights and the response variable of less accidents. According to a newspaper article summarizing the study, those cars that had daytime running lights were more likely to be operated by drivers who were confident and attentive. Drivers whose cars did not have daytime running lights were about 22% more likely to have an accident. What conclusion can we draw from this study? explain.
The correct choice is (a). The conclusion from the study is causality cannot be inferred because there is no control group.
Treatment in a study involves administering a stimulus, known as a treatment, to a group or portion of the sample while the rest of the sample is excluded from the stimulus. A successful treatment manipulation is one in which members of the treatment group perform better than members of the control group on the measures measured in study.
Given that the investigators collected data from a random sample of drivers and measured several variables, including the study's explanatory variables, it was possible to closely examine the cannot suggest a cause-and-effect relationship. No control group exists.
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Complete question:
A study was conducted on the effect of daytime running lights on cars. Researchers gathered data from a random sample of 3,248 drivers and measured quite a few variables, in addition to the explanatory variable of daytime running lights and the response variable of less accidents. According to a newspaper article summarizing the study, those cars that had daytime running lights were more likely to be operated by drivers who were confident and attentive. Drivers whose cars did not have daytime running lights were about 22% more likely to have an accident. What conclusion can we draw from this study? Explain.
a. We can infer a cause-and-effect relationship because the sample was selected randomly.
b. We cannot infer a cause-and-effect relationship because we do not have a control group.
c. We can infer a cause-and-effect relationship because multiple variables were included.
d. We cannot infer a cause-and-effect relationship because treatments were not assigned randomly.
e. We cannot infer a cause-and-effect relationship because the treatments imposed were not blocked correctly.
Answer:
We cannot infer a cause-and-effect relationship because treatments were not assigned.
Step-by-step explanation:
Got it right on test
Can anyone help me with this problem
the answer would be a= -1