Pirya needs 1 1/2 cups of raspberries for 3/4 of a cake, so she needs 1 1/2 * (4/3) = 2 cups of raspberries for the whole cake.
What is fraction?A fraction is a numerical representation of a portion of a total. It consists of two integers, a numerator and a denominator, separated by a line or slash. The numerator reflects the number of equal portions of the whole that are being considered, while the denominator represents the total number of equal parts in the whole. For instance, the fraction "1/2" denotes one of two identical pieces, or half, of the whole. Mathematicians frequently utilize fractions to represent quantities, ratios, and proportions. They are also used in everyday life to signify amounts, such as one-half of a pizza or one-third of a cups of sugar.
How to solve?
she needs 1 1/2 * (4/3) = 2 cups of raspberries for the whole cake.
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function rule to find f(9).
1
substitute 9 as x because 9 is in the brackets
then follow bidmas
brackets first so -10 + 9 = -1
now indices so square -1 which is 1.
therefore you answer is 1
how to determine the intercepts of the line with -5x+9y=-18
Answer:
-5x+9y=-18
Dividing both sides by -18
-5x/-18+9y/-18=-18/-18
5x/18-y/2=1
x/(18/5)-y/2=1. eqn(i)
eqn (i) is comparing with x/a+y/b=1, we get
x - intercept (a) =18/5
y-intercept (b) = -2
a triangle undergoes a dilation with a scale factor of 7/10. the resulting triangle is _[blank]_ the original triangle.
The resulting triangle is 7/10 the original triangle.
How triangle dilated with scale factor?The focuses in the direction planes are A(0, 2), B(2, 1), C(- 2, - 2). In the event that the scale factor is 2, each direction point of the first triangle is duplicated by the scale factor 2. Subsequently, the expanded triangle will be A'B'C' and the direction focuses got are A'(0, 4), B'(4, 2), C'(- 4, - 4).
According to question:Let we have a triangle ABC,If this triangle undergoes a dilation with a scale factor of 7/10,
Then changed triangle is A'B'C'
So, relation between them is A'B'C' = 7/10(ABC)
Thus, the resulting triangle is 9/5 multiple of triangle ABC.
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PLEASE ANSWER FAST y-1/6=15/18
do you think it makes sense to use the statistician's model to predict the calories in food items from the fast food restaurant quiteaburger? explain why or why not.
The statistician model makes sense to predict the calories in food items.
What is statistician's model ?A mathematical model called a statistical model contains a collection of statistical presumptions about how sample data are produced (and similar data from a larger population). A statistical model simulates the process of creating data, frequently in a highly idealised form.
Yes it makes sense to use the statistician model to predict calories calories in food items because the test of the overall model I.e F test is significant at any level of significance because the p value (2.2 e^-16) is approximately zero which indicates that the model Is significant.
And also the individual test of each variable are all significant at any significance level (alpha) with p values ( 2e^-16, 2e^-16, 1.36e^-6).
Thirdly we can say of the strength of the relationship between calories and the independent variable through the R value = √R square = √0.929 = 0.9638 which indicates a strong relationship between them.
Therefore, the statistician model makes sense to predict the calories in food items.
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Here are the ingredients needed to make 8 pancakes.
James makes 24 pancakes.
Pancakes
Ingredients to make 8 pancakes
250 ml milk
1 egg
140 g flour
5 g butter
a) Work out how much milk he needs.
Using proportions, James need 750ml for 24 pancakes
ProportionProportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.
To find the amount of milk James need, we need to use proportions.
8 pancakes = 250ml milk
24 pancakes = x
cross multiply both side and make x the subject of formula
8 × x = 24 × 250
8x = 6000
Divide both sides by coefficient of x
8x / 8 = 6000 / 8
x = 750
He needs 750 ml of milk
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Question regarding Modulus attached below.
Answer:
x=4/3, 8/3
Step-by-step explanation:
We will solve this in two steps, one where the right hand side is 2, one where it is -2. This is because the equation is satisfied either way when [tex]|6-3x|[/tex] is equal to either of those values.
Let's start with 2. We have [tex]6-3x=2[/tex]. Subtracting 6 from both sides and then dividing by 3 gives us that x = 4/3. This is the first value.
Now, we solve for when it equals -2. We have [tex]6-3x=-2[/tex]. Subtracting 6 from both sides and then dividing by 3 gives us that x = 8/3. This is the second value.
Feel free to contact me with any questions about my answer. I hope this helps!
6. Which is equivalent to the following expression?
(3p² +5pq-q²) + (p² +3pq-2q
2
9²)
O3p² +8pq-3q²
O4p² +8pq+q²
O4p4 +8pq-3q
O4p²+8pq-3q²
(1 point)
Answer:
Step-by-step explanation:
5
write each equation in point slope form.
y+5=-6(x+7)
and y+2 =1/6(x-4)
The equation of line in slope-intercept form is,
a.) y = -6x - 47
b.) y = x/6 - 8/3
What is Equation of line ?
A straight line's general equation is y = mx + b, where m denotes the gradient and y = b denotes the point at which the line crosses the y-axis. On the y-axis, this value b is referred to as the intercept.
We know, slope-intercept form is
y = mx + b
The given equation is in point slope form,
a.) y + 5 = -6 (x + 7)
b.) y + 2 = 1/6 (x-4)
Now, let's write each equation in slope-intercept form,
a.) y + 5 = -6 (x + 7)
y + 5 = -6x - 42
y = -6x - 42 - 5
y = -6x - 47 [which is slope-intercept form]
b.) y + 2 = 1/6 (x-4)
y + 2 = 1/6 * x - 1/6 * 4
y + 2 = x/6 - 2/3
y = x/6 - 2/3 - 2
y = x/6 - [2/3 + 2]
y = x/6 - [(2 + 6) / 3 ]
y = x/6 - 8/3 [which is slope-intercept form]
Hence, the equation of line in slope-intercept form is y = -6x - 47 and y = x/6 - 8/3
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What is the density of a pumpkin with a mass of 2.0 kg and a volume of 0.0060 m3 ? 330 kg/m3 0.003 kg/m3 0.012 kg/m3 1200 kg/m3
The density of a pumpkin with a mass of 2.0 kg and a volume of 0.0060m³ is 0.003 kg / m³.
What is the density?Density of the matter means space taken by matter.
To find the density, density = mass of matter / volume of mass.
Given that mass of the pumpkin 2.0 kg and a volume of 0.0060 m³.
Now the density from the formula;
Density = mass of pumpkin / volume of pumpkin
Density = 2.0 / 0.0060
Multiply by 10000,
Density = 20000 / 60
Density = 2000 / 6
Density = 1000 / 3
Density = 0.003 kg / m³
Therefore, the density of a pumpkin with a mass of 2.0 kg and a volume of 0.0060m³ is 0.003 kg / m³
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Recall that two angles are complementary if the sum of their measures is 90°. Find the measures of two complementary angles if one angle is 15º more than two times the other angle. What does the smaller angle measure? What does the bigger one measure?
Answer:
smaller = 25, bigger = 65
Step-by-step explanation:
x = smaller
y = bigger
2x + 15 + x = 90
3x + 15 = 90
3x = 75
x = 25
y + x = 90
y + 25 = 90
y = 65
The low temperature on Saturday was 10 degrees below zero degrees Celsius. On Sunday, the low temperature was 30 degrees
warmer.
Which two statements apply to the low temperature on Sunday?
A Temperature on Sunday was 40°C.
B
C
Temperature on Sunday was 20°C.
The temperature on Sunday was 20 degrees below zero degrees Celsius.
The temperature on Sunday was zero degrees Celsius.
L
E
The temperature on Sunday was 20° C
Divide (25)1,658.To find the quotient, start by dividinginto____.
On dividing 1658 by 25 , the quotient is equal to 66.32.
As given in the question,
Dividend is equal to 1,658
Divisor is equal to 25
Unit place value of 1658 is equal to 8.
25 is not a factor of 1658
Smallest number to 1658 divisible by 25 is 1650
Divide 1658 by 25 we get remainder
Dividend = ( Divisor × quotient) + remainder
1658 = 1650 + 8
= ( 25 × 66 ) + 8
Remainder is equal to 8
Quotient is equal to 66
In decimal form
1658 ÷ 25
= 66.32 is quotient.
Therefore, the quotient of dividing 1658 by 25 is equal to 66.32.
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Answer:
check this one
Step-by-step explanation:
this is the answer
8. Critique Reasoning Franco made this graph to
show the equation y=-x. Is the graph correct?
Explain.
Answer:
No
Step-by-step explanation:
The graph should be a line with negative slope, but the given graph is of a line with positive slope
What is the sampling method that involves taking a random selection of people from a defined population?.
Simple random sampling is a sort of probability sampling in which a selection of participants is randomly chosen from a population by the researcher.
What is Probability?The ratio of good outcomes to all possible outcomes of an event is known as the probability. The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x.
The probability of an event can be calculated using the following formula.
Probability(Event) = Positive Results/Total Results = x/n
In order to better grasp probability, let's look at a straightforward application.
Let's say we need to forecast if it will rain or not. Either "Yes" or "No" is the appropriate response to this query.
There is a chance that it will rain or not. Here, probability can be used. Using probability, one may forecast the results of a coin toss, a roll of the dice, or a card draw.
Hence, In probability sampling, a sample is chosen from a population based on the randomization principle, also known as chance or random selection.
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A group of friends collected toys to donate to children in need. After sorting the toys into
boxes, they found they had 6/7 of a box of stuffed animals, 5/7 of a box of board games, and
1/7 of a box of dolls. In total, how many boxes of toys did the friends collect?
Answer: 12/7
Step-by-step explanation: The answer is 12/7 because here is what we know: A group of friends collected toys to donate to children in need. After sorting the toys into boxes, that's what we know, we also know that they found they had 6/7 of a box of stuffed animals, and we also know that they found 5/7 of a box of board games and
1/7 of a box of doll. What they want to know is In total, how many boxes of toys did the friends collect? so you take 6/7 from the box stuffed animals they found + 5/7 from the box of board games they found which equals 11/7 then you add the 11/7 with the 1/7 the box of dolls they found. In total the friends collect 12/7 boxes. Hope this helps!
find the coordinate of the midpoint of a segment with the given endpoints T(-5,4) and D(7,2)
Answer: (-1, 3)
Step-by-step explanation:
Midpoint formula: ((x1 + x2) / 2, (y1+y2) / 2)
((-5+7)/2, (4+2) / 2))
((-2/2), (6/2))
(-1, 3)
An animal shelter currently only has 30 dogs and 20 cats. What is the ratio of cats to animals?
Answer:
20:50 or 2:5
Step-by-step explanation:
30 dogs
20 cats
50 total animals
Part to whole relationship:
20:50
A toy jeep i 12 and 1/2 inche long while an actual jeep meaure 18 3/ 4 feet long what i the value of the ratio length of the toy jeep to the length of the actual Jeep what doe thi ratio mean in the ituation?
Therefore the solution of this question is ratio length = every 1 inch of toy car represents 1.5 feet of actual car
What is ratio?In mathematics, a ratio shows how two numbers are multiplied together. In a bowl of fruit, for instance, the proportion of oranges to lemons is eight to six if there are eight oranges and six lemons. Lemons to oranges are divided 6:8 and oranges to all other fruits are divided 8:14 in a similar fashion.
Here,
A toy Jeep measures 12 1/2 inches.
Before calculating the ratio, let's first convert each size into the same unit of measure and decimal points:
=>12 ½ = 25/2
=> 12.5 inches;
=> 18 ¾ = 75/4
=> 18.75 feet .
The actual length of a jeep is 18.75 feet.
The ratio can now be determined by converting feet to inches.
1 inch of a toy car equals 1.5 feet of an actual car because
=> 1 foot = 12 inches
=> 12.5 inches : 225 inches
=> 225 / 12.5
=> 18 inches
Therefore, every 1 inch of toy car represents 1.5 feet of actual car.
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in a paired test, a factor is what you are testing to see the effect of because its effect is unknown. group of answer choices true false
True, In a paired test, a factor is what you are testing to see the effect of because its effect is unknown.
The paired t-test is a technique for determining whether or not the mean difference between two measurement pairs is zero. When your data values are paired measurements, you can apply the test.
The dependent samples t-test, paired difference t-test, matched pairs t-test, and repeated-samples t-test are other names for the paired t-test. You might not be able to test for normality if your sample sizes are too small. You might have to rely on your comprehension of the information. You might also do a nonparametric test that doesn't make the assumption of normality.
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If you rent a car from Caleb's Cars, you'll pay a $61 fee
and $24 per day. At Vinny's Vehicles, you'll pay a $105 fee and $20 per day. Determine the number of days you can rent a car from either place and pay the same amount. Use substitution or elimination. Thank you:)
The number of days to rent a car at either place and pay thesame amount is 11 days
What is Simultaneous equation?Simultaneous equations are two or more algebraic equations that share variables e.g. x and y . They are called simultaneous equations because the equations are solved at the same time.
Let the number of days to repay after a down payment be x and the y represent the total payment.
Therefore 61+24x= y equation 1
105+ 20x = y equation 2
subtract equation 1 from 2
105-61+20x-24x= 0
44-4x= 0
4x = 44
divide both sides by 4
x= 44/4
x= 11 days
therefore the number of days to rent a car at either places and pay thesame amount is 11 days
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can someone please explain this 4x[tex](4x^{2} -5x)- (4x^{2} -4x-8)[/tex]
the answer is -x+8 but I don't get why its +8 and not -8
Your first step of simplifying is to distribute the "–" or "–1" in front of the second set of parentheses through that second set of parentheses. The –1 must be distributed to every term in the second set:
[tex]\begin{aligned}(4x^2-5x)-(4x^2-4x-8)&=(4x^2-5x)\boldsymbol{{}-1}(4x^2-4x-8)\\[0.5em]&=4x^2-5x\boldsymbol{{}-1(4x^2)-1(-4x)-1(-8)}\\[0.5em]&=4x^2-5x\boldsymbol{{}-4x^2+4x+8}\\[0.5em]&=-x+8\\\end{aligned}[/tex]
That's what changes the sign on every term in the second set of parentheses, making that –8 become +8.
Find the x-intercept of the line 5x + 17y = -25
x - intercept =
Find the y-intercept of the line 6x - 7y = -21
y - intercept =
Answer: To find the x-intercept of a line, we set y equal to 0 and solve for x. To find the y-intercept of a line, we set x equal to 0 and solve for y.
For the line 5x + 17y = -25, we set y equal to 0 to find the x-intercept:
0 + 17y = -25
17y = -25
y = -25/17
Since we set y equal to 0, the x-intercept is (0, 0).
For the line 6x - 7y = -21, we set x equal to 0 to find the y-intercept:
6x - 7y = -21
-7y = -21
y = 21/7
Since we set x equal to 0, the y-intercept is (0, 21/7).
Therefore, the x-intercept of the line 5x + 17y = -25 is (0, 0) and the y-intercept of the line 6x - 7y = -21 is (0, 21/7).
You receive paychecks every two weeks. Your first paycheck is for $217. The second is for $258. The third is for $229. What is the combined value of these three paychecks?
Answer:
The combined value is $704
If you want the average pay as well it is about $235
Step-by-step explanation:
The problem asks for the combined value of the three paychecks. So all you have to do is add them to get 704.
I found the average value by adding them to 704 then dividing it by 3. The 3 came from the amount of values we have which is 3 paychecks. So we divide the total cost by 3 to get 235.
Wes made 8 cups of fresh peanut butter and divided equally among 6 jars.- How much
peanut butter went in each container?
Answer:
Step-by-step explanation:
1 1/3 cups peanut butter
proof:
1 1/3 +1 1/3+1 1/3+1 1/3+1 1/3+1 1/3 = 8 cups
Point C is the midpoint of line segment AB and point B is between points A and D. If AD = 20 and BD =12 then what is CD?
Answer:
16
Step-by-step explanation:
AB = 20 - 12 = 8
BC = 8 : 2 = 4
CD = 4 + 12 = 16
Answer:
CD = 16
Step-by-step explanation:
Check the image for the steps
The diameter of a circle is 11 cm. Find its area to the nearest tenth.
The area of the given circle is 95 cm².
What is a circle?All points in a plane that are at a specific distance from a specific point, the center, form a circle.
In other words, it is the curve that a moving point in a plane draws to keep its distance from a specific point constant.
So, we know that the diameter of the circle is 11 cm.
Radius = Diameter/2
11/2
5.5 cm
Area of circle: πr²
3.14(5.5)²
3.14*30.25
94.985
Rounding off: 95 cm²
Therefore, the area of the given circle is 95 cm².
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PLEASE HELP HURRY!!!!
On solving the provided question, we got by the help of Slope formula - [tex]= 5x - y + 5 = 0[/tex]
What is Slope?A line's slope can be calculated as the ratio of how much y rises when x rises by a specific amount. A line's slope, or how much y increases as x increases, is indicated by the word "slope." Along the straight line, the slope is constant (equal) everywhere.
From the figure we got that,
X1 = 0, Y1 = 5
X2 = -1, Y2 = 0
(0,5) and (-1,0)
By the of slope formula
[tex]\frac{y - y1}{x - x1} = (\frac{y2 - y2}{x2 - x1} )(\frac{x - x1}{y - y1} )[/tex]
[tex]{y - 5} = (\frac{0-5}{-1-0} )({x - 0 )\\\\\\[/tex]
[tex]= > 5x - y + 5 = 0[/tex]
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Solve each system by elimination: 3x-8y=13 4x-5y=6
Answer:
Your answer is [tex]x = -1[/tex] and [tex]y = -2[/tex]
Step-by-step explanation:
(attached)
rewrite 27 1/3 using roots
The value of the exponent illustrated as 27^1/3 is 3.
How to illustrate the exponent?The exponent is the number of times that a number is multiplied by itself. It should be noted that the power is an expression which shows the multiplication for the same number. For example, in 6⁴ , 4 is the exponent and 6⁴ is called 6 raise to the power of 4.
In this situation, it should be noted that 27^1/3 simply means the cube root of 27. This will give a value of 3.
Check: 3 × 3 × 3 = 27.
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