PLEASE HELP QUICK
The costume jewelry and accessories for the show are bought from sales racks at two different stores on different days. Use x to represent the price of each item on the sales rack at the first store and y to represent the price of each item on the sales rack at the second store.

On the first day, the students spent $30 on 4 items from the first store and 7 items from the second store. On the second day, the students spent $22 on 3 items from the first store and 5 items from the second store. On the third day, the students need to buy 10 items from the first store and 17 items from the second store.

What is the amount of money the students will need on the third day? Find your answer by creating and solving a system of linear equations based on the first day and the second day. Explain your reasoning.

Answers

Answer 1

Answer:

74

Step-by-step explanation:

Using linear equations, we are given two equations from the questions:

4x +7y=30 from day one and 3x +5y=22 from day two

Multiply the first equation by 3 and second by 4 giving us

12x +21y=90 and 12x +20y=88. Minus both equations.

12x - 12x +21y - 20y= 90 - 88, Gives you y=2,

You can now use the value of y to find x.

4x + 7y = 30

4x + 7(2)= 30

4x + 14= 30. Minus 14 on both sides giving you

4x=16. Divide both sides by 4.

x=4

Now use both values to find how much money is needed on the third day.

10x + 17y

=10(4) + 17(2)

=40 +34

=74


Related Questions

HELP WITH MY GEOMETRY REVIEW

Answers

1. Corresponding angles
2. Supplementary angles
3. Same side interior angles
4. Alternate interior angles

What’s the answer to the question

Answers

Answer:

Slope = -2, y-intercept = 12 (b)

Step-by-step explanation:

Using the slope formula:

slope = change in y (y2-y1) / change in x (x2-x1)

slope = (12-18)/(0+3)

slope = -6/3

slope = -2

The slope is -2

If you look in the table, when x=0, the y value equals 12. This means that the y-intercept = 12, since the y-intercept is when the x equals 0. Thus we have our answer.

how do you write 7,870 in scientific notations ?

Answers

Answer:

7.87X10^3

Step-by-step explanation:

^ means to the power of

What is an equation of the line that passes through the point (-2,8) and has a slope 3?

Answers

Answer:

y=3x+8

Step-by-step explanation:

Find the distance between the two points in simplest radical form.
(-5, 8) (-3, 1)

Answers

Distance between two points formula is sqr (x2-x1)^2 + (y2-y1)^2
sqr (-3 + 5)^2 + (1 - 8) ^2
sqr (2)^2 + (-7)^2
sqr 4 + 49
sqr 53
The distance is 7.28
(It may be wrong so check it first)

Kyle deposited $1200 in a savings account that earns 4.25% simple annual interest. If kyle keep the money in the account for 4 years what is the new balance?

Answers

Answer:

If kyle keeps the money in the account for 4 years, the new balance is $1,417.37.

Step-by-step explanation:

You can use the formula to calculate the future value to find the money in the account after 4 years:

FV=PV*(1+i)^n

FV= future value

PV= present value=$1,200

i= interest rate=4.25%=0.0425

n=number of periods of time=4

FV=1,200*(1+0.0425)^4

FV=1,200*(1.0425)^4

FV=1,417.37

According to this, the answer is that if kyle keeps the money in the account for 4 years, the new balance is $1,417.37.

Find the missing side lengths of each triangle.


Answers

since it’s an isosceles triangle, KM = LM.
4d - 13 = 12 - d
5d = 25
d = 5

hence,
LK = d + 6
= 5 + 6
= 11

HELP PLS
What is the slope of the line that passes through (1, 4) and (-3, -3)?

Answers

Answer:

y=7/4x+9/4

Step-by-step explanation:

You want to find the equation for a line that passes through the two points:

(1,4) and (-3,-3).

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

First, let's find what m is, the slope of the line...

The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.

For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:

So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (1, 4), point #1, so the x and y numbers given will be called [tex]x_1[/tex] and [tex]y_1[/tex]. Or,

Also, let's call the second point you gave, (-3,-3), point #2, so the x and y numbers here will be called [tex]x_2[/tex] and [tex]y_2[/tex]. Or,

Now, just plug the numbers into the formula for m above, like this:

m=  

[tex]\frac{-3-4}{-3-1}[/tex]

m= 7/4

So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:

y=7/4x+b

Now, what about b, the y-intercept?

To find b, think about what your (x,y) points mean:

(1,4). When x of the line is 1, y of the line must be 4.

(-3,-3). When x of the line is -3, y of the line must be -3.

Because you said the line passes through each one of these two points, right?

Now, look at our line's equation so far: y=7/4x+b. b is what we want, the 7/4 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specifically passes through the two points (1,4) and (-3,-3).

So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!.

You can use either (x,y) point you want..the answer will be the same:

(1,4). y=mx+b or 4=7/4 × 1+b, or solving for b: b=4-(7/4)(1). b=9/4.

(-3,-3). y=mx+b or -3=7/4 × -3+b, or solving for b: b=-3-(7/4)(-3). b=9/4.

See! In both cases we got the same value for b. And this completes our problem.

The equation of the line that passes through the points

(1,4) and (-3,-3)

is

y=7/4x+9/4

y=4x+3 y=-x -2 I need help please

Answers

Answer:

y = mx + b

Step-by-step explanation:

There is error in plotting graph because i drew it roughly

Farmer Brown feeds 12.1 kilograms of alfalfa to each of his 2 horses daily. How many kilograms of alfalfa will all his horses have eaten after 21 days? Draw an area model to solve.



Draw your area model on paper, take a picture, and upload it using the image upload icon


If you do not have the ability to upload an image of your work type "Area model is on paper."

what do she meannnn ╰(‵□′)╯

Answers

Answer:

i know i stole im trying to level up sorry

Step-by-step explanation:

Answer:

Step-by-step explanation:

iuef ousdfsbhhdfsd

January 30,2019 was the coldest day in minieapolis-St. Paul in over 20 years. The lowest tempeauture recorded that day was -28F. The warmest temperature was 15 higher

Answers

Answer:

The warmest temperature was -13F

Step-by-step explanation:

We are expected to compute the warmest temperature recorded at Minneapolis

Step one:

We are told that on January 30th of 2019 was the coldest day at Minneapolis

hence the temperature reading= -28F------this is like 28 points away from 0 on the number line

Step two:

We are given that the warmest temperature recorded is 15F higher.

since the -ve sign represent cold or snowy weather, the warm temperature

is gotten by adding 15F to the negative temperature

=-28+15

= -13F

The warmest temperature was -13F

You buy a hat for $12 and give the cashier a $20 bill. How much change do you receive?

An expression is ____

Answers

Answer:

$8.00 Even

Step-by-step explanation:

I need help please ​

Answers

Answer:

no solution, these are parallel lines b/c same slope

Step-by-step explanation:

rewrite first one to = y : y = 3x + 10

3x + 10 = 3x - 6

Please help me with this

Answers

Answer:

B 4/3

Step-by-step explanation:

3^32^9/3^42^7

B 4/3

Marcus and Jeremy both evaluated the expression −5^2 + 3. Marcus said the answer was −22. Jeremy said the answer was 28. Who is correct? Explain the error in the other student's work.

Answers

Answer:

Jeremy is correct

Step-by-step explanation:

Marcus and Jeremy both evaluated the expression −5^2 + 3. Marcus said the answer was −22. Jeremy said the answer was 28. Who is correct? Explain the error in the other student's work.

Marcus is wrong

This is because, Marcus calculated:

-5^2 + 3

= -25 + 3

= -22

This is wrong because it did not follow the rules which states that:

- × - = +

Jeremy calculation is shown below:

-5^2 + 3

-5 × -5 + 3

= 25 + 3

= 28

Jeremy is correct

If x + 12 = 40,
what is the value of x + 7
please help

Answers

35 because 40-12= 28 and 28+7=35

PLEASE HELP I REALLY AM BAD AT MATH. I JUST NEED THIS. NO ONE HAS ANSWERED MY PAST QUESTIONS WHILE I ANSWER THERES ;(

4ABC is isosceles with AB = AC. All three side lengths of 4ABC and also
altitude AD are positive integers.
If the area of 4ABC is 60 cm2
, determine all possible perimeters of 4ABC.
Note: You may use the fact that the altitude of an isosceles triangle drawn to
the unequal side bisects the unequal side.


Thank you for ignoring this friendly request of help :(
BTW U GET 20 POINTS IF U ANSWER ME

Answers

To calculate the perimeter of an isosceles triangle, the expression 2s + b is used, where s represents the length of the two congruent sides and b represents the length of the base.

I may not know the answer but I know how to get it just follow the rule. Sorry if I didn’t help.

A certain shade of paint is made by mixing 8 parts blue paint with 3 parts
white
paint. To get the correct shade, how many quarts of white paint should be mixed
with 64 quarts of blue paint?

Answers

Answer:

15 quarts

Step-by-step explanation:

5 bananas cost 2.95 how much would 27 bananas cost

Answers

Answer:

78 dollars and 3 cents

Step-by-step explanation: use a calculator

Answer:

15.93

Step-by-step explanation:

each banana costs 0.59 so you multiply 27 times 0.59 = 15.93

Which of the following is NOT true about the system of linear equations
represented by the graph shown below?

Answers

Answer: ayo

Answer:

A

Step-by-step explanation:

trust

Find the slope of the line y = 2x + 3.
Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer:

proper fraction

Step-by-step explanation:

pls help I will give you brainliest please just help

Answers

Answer:

the picture isnt there

Step-by-step explanation:

Answer:

The picture is just a black photo...

Step-by-step explanation:

Your Welcome!

Brainliest Appreciated!


HELP PLEASE I NEED TO GET IT DONE BECAUSE ILL BE WITH MY FAMILY AT THANKSGIVING TOMORROW

Solve for x in the diagram below

Answers

Answer:

6

Step-by-step explanation:

Straight line is 180

square = right angle=90

180-90=90

5x+(x+54)=90

6x+54=90

6x=36

x=6

Hope this helps :D

Consider a right triangle with leg b = 7.1 and opposite angle B = 39.3. Using a calculator, determine the other angle and the remaining sides of the triangle. Express your answers using at least one decimal place.

Answers

Answer:

i. a = 8.7, b = 7.1 and c = 11.2

ii. A = [tex]50.7^{o}[/tex], B = [tex]39.3^{o}[/tex] and C = [tex]90^{o}[/tex]

Step-by-step explanation:

Given a right triangle with, b = 7.1 and B = [tex]39.3^{o}[/tex].

I. Applying the trigonometric function to determine leg a, we have;

Tan θ = [tex]\frac{opposite}{adjacent}[/tex]

Tan [tex]39.3^{o}[/tex] = [tex]\frac{7.1}{a}[/tex]

a = [tex]\frac{7.1}{Tan 39.3^{o} }[/tex]

  = 8.675

The length of leg a is 8.7.

ii. To determine leg c,

Sin [tex]39.3^{o}[/tex] = [tex]\frac{opposite}{hypotenuse}[/tex]

              = [tex]\frac{7.1}{c}[/tex]

⇒c = [tex]\frac{7.1}{Sin39.3^{o} }[/tex]

     = 11.21

The length of leg c is 11.2.

iii. Given that: B = [tex]39.3^{o}[/tex] and C = [tex]90^{o}[/tex]

Then,

A + B + C = [tex]180^{o}[/tex]  (sum of angles at a point)

A + [tex]39.3^{o}[/tex] + [tex]90^{o}[/tex] = [tex]180^{o}[/tex]

A + [tex]129.3^{o}[/tex] = [tex]180^{o}[/tex]

A = [tex]180^{o}[/tex] - [tex]129.3^{o}[/tex]

  = [tex]50.7^{o}[/tex]

M is the midpoint of AB. If the coordinates of point A are (7,4) and the coordinates of B are (1,2), what are the cooridnates of M?

Answers

Answer:

M(4, 3 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

Here (x₁, y₁ ) = A(7, 4) and (x₂, y₂ ) = B(1, 2) , thus

M  = ([tex]\frac{7+1}{2}[/tex], [tex]\frac{4+2}{2}[/tex] ) = ( [tex]\frac{8}{2}[/tex], [tex]\frac{6}{2}[/tex] ) = (4, 3 )

Answer is (4,3)
This is because to find the mid point you add the x coordinates and divide by 2 and the you add the y coordinates and divide by 2.

x+x/2= midpoint x
y+y/2=midpoint y
And so you do:
7+1=8. 8/2=4 so x coordinate is 4
4+2=6. 6/2=3 so y coordinate is 3

And so the answer to the question is (4,3)

the midsegment of ABC is LM what is the length of AL if LB is 20 inches long?
a. 10
b. 40
c. 20
d. 30

Answers

Answer:

20

Step-by-step explanation:

since al = lb because it is midsegment and lb = 20 so AL = 20

Answer

C. 20

Explanation

is 18/42 rational or irrational

Answers

Answer:

Step-by-step explanation:

rational

Answer:

Rational

Explanation:

18/42 is 4.258 which is a rational number

Sue is filling a water bottle. The height of the water is increasing as shown in the table. How high would the water be after 20 seconds?

Answers

Answer:

56 cm

Step-by-step explanation:

Please help me before I fail... I really need some help <3 please ;-;

Answers

Answer:

sin( 61) = x/55

55(sin(61)) = x

48.1 = x

Hope this helps!

Calculate the variance of the following set of data.

3, 33, 303, 233, 3, 73, 83, 63

Answers

Answer:

its 12084

Step-by-step explanation:

on my test

Variance is the measurement of the spread between numbers in a given set of data.

The variance for the set is 12083.929

What is a variance?

It is the measurement of the spread between numbers in a given set of data.

We have,

3, 33, 303, 233, 3, 73, 83, 63

The formula to find variance:

Find the means of the set of data.

Find the deviation of the set of data from the mean.

Find the sum of the squares of the mean deviations.

Divide the sum of the squares of the mean deviations by (n-1)

where n is the number of data in the set.

The mean:

= (3 + 33 + 303 + 233 + 3 + 73 + 83 + 63) / 8

= 794/8

= 99.25

Deviation from the mean:

3 - 99.25 = -96.25

33 - 99.25 = -66.25

303 - 99.25 = 203.75

3 - 99.24 = -96.25

73 - 99.25 = -26.25

83 - 99.25 = -16.25

63 - 99.25 = -36.25

The sum of the squares of Mean deviation:

= 9264 + 4389 + 41514 + 9264 + 689 + 264 + 1314

= 84587.5

The variance:

= 84587.5 ÷ (8 - 1)

= 84587.5 / 7
= 12083.929

Thus,

The variance for the set is 12083.929

Learn more about variance here:

https://brainly.com/question/13708253

#SPJ2

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