Answers
Answer:
The Answer is 6.
Step-by-step explanation:
12x = 72
12 x 6 = 72
X = 6 because 6 can go into 72 12 times
Answer:
x = 6
Step-by-step explanation:
following the working through
substitute y = - x + 2 into the other equation
5x - 7y = 58
5x - 7(- x + 2) = 58 ← distribute parenthesis by - 7
5x + 7x - 14 = 58
12x - 14 = 58 ( add 14 to both sides )
12x = 72 ( divide both sides by 12 )
x = [tex]\frac{72}{12}[/tex] = 6
substitute x = 6 into y = - x + 2
y = - 6 + 2 = - 4
Related Questions
A small coffee shop sells a variety of different pastries and treats. The banana bread is sold
by the loaf, and each loaf is sold for the same price. The cookies are sold by the dozen, and
each dozen is sold for the same price.
On Friday, the bakery collected $260 from selling 40 loaves of bread and 35 dozen cookies.
On Saturday, the bakery collected $360 from selling 64 loaves of bread and 42 dozen
cookies.
At what price does the bakery sell each item for?
Answers
Using system of linear equations, the price of bread is $3 and cookies is $4
System of Linear EquationThe system of linear equations is the set of two or more linear equations involving the same variables. Here, linear equations can be defined as the equations of the first order, i.e., the highest power of the variable is 1.
Let;
x = bread y = cookiesWe can write a system of linear equation with this;
40x + 35y = 260 ....eq(i)
64x + 42y = 360 ...eq(ii)
Solving equation (i) and (ii)
The value of x is 3 and y is 4
This shows that the price of bread is $3 and cookies is $4
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What are the coordinates of the point on the directed line segment from (1, 5) to
(6, 10) that partitions the segment into a ratio of 3 to 2?
Answers
(4,6) are the coordinates of the point on the directed line segment from (1,5) to(6, 10) that partitions the segment into a ratio of 3 to 2.
Define mid point theorem,According to the midpoint theorem, the line segment drawn from the intersection of two triangle sides is parallel to and equal to half of the third side. To determine precise information about the lengths of triangle sides, one uses the Midpoint Theorem. According to the Midpoint Theorem, the segment connecting two triangle sides at their midpoints is parallel to the third side and is half its length.
Given
Points (1,5) (6.10)
Ratio 3 :2
Using mid point theorem,
( (mx₂+nx₁)/(m+n), (my₂+ny₁)/(m+n) )
3(6) + 2 (1)/ 3+2, 3(10) + 2(5)/ 2+3
18 + 2/5 , 20 + 10/5
20/5 , 30/5
4, 6
(4,6) are the coordinates of the point on the directed line segment from (1,5) to(6, 10) that partitions the segment into a ratio of 3 to 2.
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i need help to solve this!!
Answers
Answer:
Part A: A
Part B: 1 is the y-intercept and is 0 the horizontal asymptote
Step-by-step explanation:
Part B: y intercept would be y=0 and the Horizontal Asymptote would be y=0.
THE SOULITIONS TO the inequality y>-3x+2 are shaded in the graph. Which point is a solution?
A. (0,2)
B. (2,0)
C. (1,-2)
D.(-2,1)
Answers
Point (2,0) is the solution for the inequality y > -3x +2
What is the solution of inequality?Here we have,
y > -3x +2
The shaded area above the dotted line is the solution.
We are aware that
If a point is a solution to an inequality, then its coordinates must satisfy the inequality.
We will investigate all cases to find a solution to the problem.
A) Point (0,2)
Here,
x = 0
y = 2
Verify the inequality by changing the values of x and y.
2 > -3 x 0 + 2
2 > 2
It is not correct.
Therefore the point is not to solve the inequality.
B) Point (2,0)
Here
x = 2
y = 0
Verify the inequality by changing the values of x and y.
0 > -3 x 2 + 2
0 > -4
This is correct
Therefore the point is to solve the inequality.
Therefore point B is the solution.
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For the following data set, calculate the percentage of data points that fall within one standard deviation of the mean and compare the result to the expected percentage of a normal distribution.
{8, 12, 27, 32, 45, 57, 61, 73, 82, 94}
A. 40%; This percentage is lower than expected in a normal distribution.
B. 50%; This percentage is lower than expected in a normal distribution.
C. 60%; This percentage is lower than expected in a normal distribution.
D. 70%; This percentage is close to the expected percentage in a normal distribution
Answers
In a normal distribution, a minimum percentage of 68% is anticipated, while an expected percentage of 60% is lower at 60%.
What is standard Deviation ?The standard deviation reveals the degree of data skewedness. It gauges how far away from the mean each observed value is.
According to the given information
8, 12, 27, 32, 45, 57, 61, 73, 82, 94 data points are provided.
Their average mean is 49.1.
The computed standard deviation is 29.31988.
The lower and upper limits are provided by the following when one standard deviation from the mean is taken into account.
= [ 49.1 - 29.31988, 49.1 + 29.31988 }
= [ 19.78012 , 78.41988 ]
We can observe that only six points—27, 32, 45, 57, 61 and 73—or 60% of the total—remain within one standard deviation of the mean.
In a normal distribution, a minimum percentage of 68% is anticipated, while an expected percentage of 60% is lower at 60%.
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Answer: C 60%; This percentage is lower than expected in a normal distribution.
Triangle ABC is a right triangle, with right angle B. Side AC has a length of 13. Side AB has a length of 5. Find the length of side CB.
Answers
The magnitude of length BC in the triangle ABC is equivalent to 8.49 units.
What is Pythagoras theorem?Pythagoras theorem states that -
"In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“.
Mathematically, we can write-
[tex]a^2 + b^2 = c^2[/tex]
Given is that ABC is a right triangle, with right angle at B. Side AC has a length of 13 units. Side AB has a length of 5 units.
Using the Pythagoras theorem in the triangle ABC, we get -
AC² = BC² + AB²
BC² = AC² - AB²
BC² = (AC + AB)(AC - AB)
BC² = (13 + 5)(13 - 9)
BC² = 18 x 4
BC² = 72
BC = √(72)
BC = 8.49 units
Therefore, the length of the side BC is equivalent to 8.49 units.
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help help help help help help help help help help help help help help help help help help help help help help help help
Answers
Answer:
D
Step-by-step explanation:
It passes through -1 and has a negative gradient
Graph the equation on the coordinate plane
Y=1/2x-3
Answers
Answer:
Step-by-step explanation:
Start at origin 0,0 make a point
go up 1 and over 2 make a point
connect with straight line
Which is the best definition of a boundary line for a linear inequality?
The line that divides the plane into an area that is triangular and an area that is rectangular.
The line that divides the plane into an area with solutions and an area that does not have solutions.
The line that divides the plane into four quadrants.
The line that divides the plane into eight quadrants.
Answers
Answer: The line that divides the plane into an area that is triangular and an area that is rectangular.
A daycare center has a weekly revenue of $21,000. The daycare director has created a monthly budget using the following percentages for expenses:
Percent
Employee Wages 42%
Building Rent 10%
Supplies 15%
Equipment 5%
Educational Licensing 2%
Food 10%
Utilities 10%
Maintenance 3%
Emergency/Repair 3%
Which balance sheet correctly represents the daycare's income, expenses, and balance?
Income
Amount
Weekly Income $21,000.00
Total Monthly Income $84,000.00
Expenses
Percent Amount
Employee Wages 42% $35,280.00
Building Rent 10% $8,400.00
Supplies 15% $12,600.00
Equipment 5% $4,200.00
Educational Licensing 2% $1,680.00
Food 10% $8,400.00
Utilities 10% $8,400.00
Maintenance 3% $2,500.00
Emergency/Repair 3% $2,500.00
$84,000.00
Balance
Income $84,000.00
Expenses $84,000.00
Balance $0
Income
Amount
Weekly Income $21,000.00
Total Monthly Income $91,000.00
Expenses
Percent Amount
Employee Wages 42% $38,220.00
Building Rent 10% $9,100.00
Supplies 15% $13,650.00
Equipment 5% $4,550.00
Educational Licensing 2% $1,820.00
Food 10% $9,100.00
Utilities 10% $9,100.00
Maintenance 3% $2,730.00
Emergency/Repair 3% $2,730.00
$91,000.00
Balance
Income $91,000.00
Expenses $91,000.00
Balance $0
Income
Amount
Weekly Income $21,000.00
Total Monthly Income $94,500.00
Expenses
Percent Amount
Employee Wages 42% $36,690.00
Building Rent 10% $9,450.00
Supplies 15% $14,175.00
Equipment 5% $4,725.00
Educational Licensing 2% $1,890.00
Food 10% $9,450.00
Utilities 10% $9,450.00
Maintenance 3% $2,835.00
Emergency/Repair 3% $2,835.00
$94,500.00
Balance
Income $94,500.00
Expenses $94,500.00
Balance $0
Income
Amount
Weekly Income $21,000.00
Total Monthly Income $42,000.00
Expenses
Percent Amount
Employee Wages 42% $17,640.00
Building Rent 10% $4,200.00
Supplies 15% $6,300.00
Equipment 5% $2,100.00
Educational Licensing 2% $840.00
Food 10% $4,200.00
Utilities 10% $4,200.00
Maintenance 3% $1,260.00
Emergency/Repair 3% $1,260.00
$42,000.00
Balance
Income $42,000.00
Expenses $42,000.00
Balance $0
Answers
The balance sheet that correctly represents the daycare's income, expenses, and balance is given as follows:
A) Income
Amount
Weekly Income $21,000.00
Total Monthly Income $84,000.00
Expenses
Percent Amount
Employee Wages 42% $35,280.00
Building Rent 10% $8,400.00
Supplies 15% $12,600.00
Equipment 5% $4,200.00
Educational Licensing 2% $1,680.00
Food 10% $8,400.00
Utilities 10% $8,400.00
Maintenance 3% $2,500.00
Emergency/Repair 3% $2,500.00
$84,000.00
Balance
Income $84,000.00
Expenses $84,000.00
Balance $0
What is balance sheet?A balance sheet is a financial statement that lists the assets and liabilities of a corporation at a certain point in time. It is one of the three primary financial statements—the other two being the income statement and cash flow statement—that are used to assess a company's performance.
The weekly income is of $21,000, while a month is composed by four weeks, hence the monthly income is of:
=4 x $21,000
= $84,000.
Then the percentages of each expenses are applied to find the values, for example, 42% of that is for employee wages, hence:
= 0.42 x 84,000
= $ 35, 280
From the details we get Employee Wages 42% of $35,280.00
Hence, the balance will be of zero and option A is correct.
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50 points!! (Factoring Algebraic Expressions MC)
Rewrite 1/14 x^3y +8/14xy^2 using common factor
1/7xy(2x^2 + 8y)
1/7x^2y(2x+8y)
1/14xy(x^2+ 8y)
1/14 x^3y^2(y+8)
Answers
Answer:
7
x
y
out of
−
7
x
y
(
2
x
2
y
−
3
x
)
−
7
x
y
(
−
2
)
.
−
7
x
y
(
2
x
2
y
−
3
x
−
2
)
Step-by-step explanation:
How do I do y=mx+b in these type of questions
1. y<-3/4x+2
2. y≤5
3. x+y>6
Answers
With linear inequalities in two variables, you still have y=mx+b and it still tells you the same thing.
The inequality portion adds two additional layers on top of the y=mx+b line.
If the inequality is > or <, then you draw the line as a dashed line.
If the inequality is ≥ or ≤, then you draw the line as a solid line.
The difference is that points on the > or < line do NOT make the inquality true, while points on the ≥ or ≤ line do.
The other piece is that all the points on one side of the line will also make the inequality true.
If you have "y>mx+b" or "y≥mx+b", then you shade above the line.
If you have "y<mx+b" or "y≤mx+b", then you shade below the line.
So there are three parts:
1. Where is the line?
2. Is the line solid or dashed?
3. Do you shade above or below the line?
The three graphs are attached.
Guillermo bought textbook and notebook at the booktore. The number of textbook wa three more than twice the number of notebook. He bought even notebook. How many textbook did he buy ?
Answers
The no: of textbooks Guillermo bought is 7
What are problem sums?Issue with the internal transfer concept Sum questions involve subtracting from one unknown and adding to another, leaving the original total amount unaffected. It's also referred to as the Constant Total idea.
How do you teach children to problem sums?Follow The Problem-Solving Process Step by Step.
Review Old Issues; Write Down What Doesn't Work; "3 Before Me"
Ask open-ended questions, promote grappling, place an emphasis on process over product, and use the techniques yourself!
Let the no: of notebooks be 2
The no: of textbooks are : 3+ (2*2)
=7
Hence, the total no: of books are 7
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Evaluate
9
g
+
2
h
+
5
g
9
+2h+5start fraction, 9, divided by, g, end fraction, plus, 2, h, plus, 5 when
g
=
3
g=3g, equals, 3 and
h
=
6
h=6h, equals, 6.
Answers
The evaluation of the given expression 9/g + 2h + 5 when g = 3 and h = 6 gives the result 20
How to evaluate a given expression?9/g + 2h + 5
When,
g = 3
h = 6
Substitute the value of g and h into the expression
9/g + 2h + 5
= 9/3 + 2(6) + 5
= 3 + 12 + 5
= 20
Therefore, the expression 9/g + 2h + 5 when evaluated gives the result 20
Complete question:
Evaluate 9/g + 2h + 5 when g = 3 and h = 6
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The formula for explicit sequence
Answers
Answer: The formula for explicit sequence is F(n)=6n
n=7
7) =6*7=42
Step-by-step explanation: Hope this was helpful
A line includes the points (-1,-4) and
(-3, 8). What is its equation in slope-
intercept form?
Answers
Answer:y=-6x-10
Step-by-step explanation:
The slope intercept form is y=mx+b
m=slope
b=y intercept
we can find the slope using the slope formula y2-y1/x2-x1
8-(-4)/-3-(-1)
12/-2
m=-6
substitute in the slope, and one of the points so solve for b
y=-6x+b
-4=-6(-1)+b
-4=6+b
b=-10
y=-6x-10
Answer:
y = -6x - 10
Step-by-step explanation:
(-1, -4), (-3, 8)
(x₁, y₁) (x₂, y₂)
y₂ - y₁ 8 - (-4) 8 + 4 12
m = ------------ = -------------- = ------------ = ------- = -6
x₂ - x₁ -3 - (-1) -3 + 1 -2
y - y₁ = m(x - x₁)
y - (-4) = -6(x - (-1))
y + 4 = -6(x + 1)
y + 4 = -6x - 6
-4 -4
------------------------
y = -6x - 10
I hope this helps!
I just need to know how to get to 55 pls
Answers
Answer/Step-by-step explanation:
Okay, so this question really is a nightmare, because this image is just not possible. Like, literally, Z is or is not the center, you do or do not have enough info. Its a bad question. This is not your fault. If you don't care why its a bad question scroll down to "How could someone get 55°"
If Z is the center, BZ and CZ are radii and equal. Angle CBZ is 60° because
AngleABC + Angle CBZ = 180°
120° + CBZ = 180°
CBZ = 60°
That means AngleC is also 60°. And then, since 180° in a triangle, AngleCZB also must be 60°.
This makes AngleCZD 120°.
But if Z is the center and ArcCD is 115°, then AngleCZD should be 115°.
Contradiction! Angle CZD can't be both 120° and 115° something is wrong here. See image.
How could someone get 55°? Well, it is also not correct but... If ArcCD is 115° then AngleCZD is 115° (if Z is the center) So AngleCZB is 180°-115°, which is 65°.
AngleCBZ is 60°
60° + 65° + C = 180°
125 + C = 180
C = 55°
Cecil started from Point A and moved according to the expression 10 + (−5) + 19 + 6 + (−19) + 5 + (−10). What one additional step
does Cecel need in order to return to the starting point?
Answers
The number of steps in order to return to the starting point will be negative 16.
What is a number line?A number line refers to a straight line in mathematics that has numbers arranged at regular intervals or portions along its width. A number line is often shown horizontally and can be postponed in any direction.
Cecil started from Point A and moved according to the expression 10 + (−5) + 19 + 6 + (−19) + 5 + (−10).
Let 'x' be the number of steps in order to return to the starting point. Then the equation is given as,
x + 10 + (−5) + 19 + 6 + (−19) + 5 + (−10) = 0
Simplify the equation, then the equation is given as,
x + 10 − 5 + 19 + 6 − 19 + 5 − 10 = 0
x + 40 − 24 = 0
x + 16 = 0
x = − 16
The number of steps in order to return to the starting point will be negative 16.
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the teacher decides to let your class get in groups of four to complete the homework. if you are like most people, your effort on this group task will be
Answers
The effort required to complete this group task will be less than the effort required to complete the task as individual homework.
In social psychology, social influence is a topic of study. Social compliance, persuasion methods, brainwashing, and social obedience are a few examples of issues studied in this field.
Several phenomena show how having others around affects performance, one of which is social loafing.
When someone works less hard on a task when doing it in a group, this unique phenomena happens.
Your class is divided into groups of four and given the assignment by the teacher. This group assignment will require less effort from you than completing it as individual homework would have required. This exemplifies the social loafing principle.
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Darren ha a piece of wood that i 7 in by 8 in. Explain how he could divide thi large rectangle into two maller rectangle
Answers
On solving the provided question, we got that - he could divide the large rectangle into two smaller rectangle by cutting into 7 inches by 4 inches each.
What is rectangle?The opposite sides of a rectangle are equal and parallel, making it a form of quadrilateral. Four of its sides are equal to 90 degrees, making it a four-sided polygon. Two-dimensional shapes include rectangles.
We know that Darren has a wood piece that measures 7 inches by 8 inches. We are expected to explain how he managed to separate these two enormous rectangles into smaller ones.
Let's imagine that a huge rectangle has a width of 8 inches and a length of 7 inches.
Darren needs to cut two rectangles that are each 4 inches wide and 7 inches long to divide a giant rectangle into two smaller rectangles.
In order to make two smaller rectangles that are each 7 inches long and 4 inches broad, Darren can cut a larger rectangle.
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If baeball cot $12 and are marked down by the ame percentage a baeball bat, how much will a baeball cot?
Answers
The percentage markdown only affects the price of the baseball bat, not the price of the baseball. Therefore, the price of a baseball will remain the same at $12.
What is meant by the term percentage?One technique to express a number as a fraction of 100 is through the use of percentage. It is typically used to denote a percentage or share of a larger whole, and it is frequently written with the sign "%." For instance, a student who obtains an 80 is referred to as having gotten a "80%" or "80%".
Percentages can be used to compare distinct numbers, to assess change over time, or to establish the proportion of a group or population that fits into a specific category. For example, a survey may state that 60% of respondents said "yes" to a certain question, or that the price of a product has grown by 10% in the last year.
How to solve.
If the price of a baseball is marked down by the same percentage as a baseball bat, then the price of a baseball will not change.
The percentage markdown only affects the price of the baseball bat, not the price of the baseball. Therefore, the price of a baseball will remain the same at $12.
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just type 2 for the answer
Answers
Answer:
2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
noah have the delivery person $20 to pay for his meal, including a tip. what percentage of the price before tax did he tip the delivery person
Answers
In this case, the percentage of the price before tax that Noah tipped the delivery person is $2 / $18 = 11.11%. This means that he tipped the delivery person 11.11% of the price of his meal before tax.
PLEASE HELP ASAP!!!!!!!!
Answers
Answer:
The lie is #3.
Step-by-step explanation:
1 divided by 7^-3 is not equal to 7^-3. 7^-3/1 is equal to 7^-3 though.
During a class trip to an apple orchard, a group of
students picked 2436 apples. They packed them into
6 boxes to take to the local food bank. If each box
held the same number of apples, how many apples
were in each box?
2) 46
3) 460
4) 406
5) 14,616
Answers
4)406
We just divide the total number of apple which were 2436 divided by the number of boxes which was 6, that’s how we get the answer as 406.
The answer is 406 apples.
2436 apples divided by 6 boxes gives you the number of apples in each box.
Alavaro selects a colored marble at random from a bag, records the color, and replaces the marble in the bag. After 20 trials, the experimental probability of selecting a pink
marble is selecting a yellow marble is, and selecting an orange marble is. On the 21st trial, Alavaro selects a blue marble. What is the experimental probability of
selecting a pink marble after 21 trials?
Answers
Answer:
0.325
Step-by-step explanation:
Hello please solve this with steps
Answers
The dimensions of the rectangular prism are:
Length = 4 meters.
Width = 2 meters.
Height = 2 meters.
What are the dimensions of the storage space?A rectangular prism of width W, height H, and length L has a volume given by the formula:V = W*H*L
Here we know that: the height and the width are both 2 meters less than the depth, then:W = L - 2H = L - 2 and the volume is 16 cubic meters
Replacing that in the volume equation we will get:16 = L*(L - 2)*(L - 2)It is ratter easy to notice that if we take L = 4, we will get:16 = 4*(4 - 2)*(4 - 2) 16 = 4*(2)*(2)16 = 4*416 = 16 So L = 4 is a solution, then:
W = L - 2W
= 4 - 2 = 2
And also the height is:H = 4 - 2 = 2
These are the dimensions.
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PLEASE HELP
Fill in the blanks below with the correct units.
Answers
Answer:
a) Liters.
b) Kilograms.
c) Kilometers.
Step-by-step explanation:
I'm not completely sure about C). But after some researching and calculating these answers seem the most correct. But I'm pretty sure A) and B) are right.
If 5 bunnies can eat all the crops in a garden in 8 hours, how long would it take for 8 bunnies to eat the same amount of crops? Please help!
Answers
Answer:
5 hours
Step-by-step explanation:
40=8x
x=5
The number of hours taken for 8 bunnies to eat the same amount of crops will be 5 hours.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
If 5 bunnies can eat all the crops in a garden in 8 hours. The relation between work and time will be inverse. Then the product of the number of bunnies and the number of hours remains constant.
Let 'x' be the number of hours. Then the equation is given as,
8 × x = 5 × 8
Simplify the equation, then we have
8 × x = 5 × 8
8x = 40
x = 40 / 8
x = 5 hours
The number of hours taken for 8 bunnies to eat the same amount of crops will be 5 hours.
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Dear Everyone, Please solve thid problem
1+1+1-1=
Answers
Answer:
2
Step-by-step explanation:
Pretty sure u know how to do this but
You have 1 dot and you add another dot which gives you 2 dots. And then you add another dot which gives you 3 dots. And then your mean friend takes away one of yours dots, which gives you 2 dots left.