Brian bought beverages for his coworkers. On Monday he bought 3 sodas and 4 iced teas for $18. On Tuesday he bought 5 sodas and 2 iced teas for $16.

Answers

Answer 1

Answer:

what is the question

Step-by-step explanation:

Answer 2

Answer:

3x+4y=18 and 5x+2y=16

x=the cost of the sodas

y=the cost of the iced teas

then you do

3x+4y=18, and 10x+4y=32 (the equation is still equivalent to 5x+2y=16, you just doubled it)

next,

10x+4y=32

-3x-4y=-18 (once the y's match, make one negative and one positive)

which leaves you with:

7x=14

which means

x=2

Plug the x value back into the equation, for this I chose to plug it back into 3x+4y=18

3(2)+4y=18

6+4y=18

4y=12

y=3

so the final answer is x=2, and y=3


Related Questions

SIMPLE INTEREST
Interest = ?
Principal = $1450
Interest rate = 9%
Time = 5 years

Answers

652.50

Step-by-step explanation:

1450 x .09 x 5 = 652.50

Pls help me It would help alot

Answers

Answer: A=4πr2

I really hope this helped!!

the surface area is approximately 1017.88 cm^2

Kayla thinks that the slope of a vertical line is undefined, while Joshua argues that the slope of a vertical line is zero. Who is correct? *

Answers

Answer:

Kayla is correct

Step-by-step explanation:

For a vertical line, the x-value is the same

This means there is no change in the x value

A slope is calculated by dividing by the change in x value

since in this case , we will be dividing by zero, it means that the value of our slope is going to be undefined

This means that Kayla is correct

Triangle ABC is a right triangle. Triangle A B C is a right triangle. Angle A C B is 90 degrees, angle C B A is 31 degrees, and angle B A C is 59 degrees. What is the relationship between angles A and B?

Answers

Answer:

see explanation

Step-by-step explanation:

Complementary angles sum to 90°

∠ CBA = 31° and ∠ BAC = 59° , sum to 90° (31° + 59° = 90° )

Thus

∠ A and ∠ B are complementary angles

Answer: They are complementary

Step-by-step explanation: took the test on edge!

An apple juice factory produced 830.87 gallons of apple juice in 4 days. How much apple
juice, on average, did the factory produce each day?

Answers

Answer:

207.7175

Step-by-step explanation:

take the 830.87 and divide it by 4 to see how much is made in 1 day. thats the average.

Ben is shopping for tires for his car. After looking at several stores, he decides to purchase his tires from All About Tires. The cost of their tires is shown in the table below.

Study the table below...
All About Tires...
Number of Tires... X...
Total Cost... Y...
... 2, $62...
... 3, $93...
... 7, $217...
... 9, $279....

Based on the information in the table, how much will Ben pay for 4 tires?

Answers

Answer:

124

Step-by-step explanation:

63 +31 is 93 +31 is 124

Answer:

Answer:

124

Step-by-step explanation:

63 +31 is 93 +31 is 124

Han earns $33.00 for babysitting 4 hours. At this rate, how much will he earn if he
babysits for 7 hours. You may solve with any method but you must show your work.

Answers

First you do $33.00/4 to get $8.25. Take the 8.25 and multiply it by 7 to get $57.75

Step-by-step explanation:

First, you want to find the unit rate, or how much Han earns per hour

You can do this by setting up an equation

x= amount earned per hour

4x= 33          Initial equation

4x/4 = 33/4   Isolating the variable

x = 33/4 = 8 1/4 = 8.25    The unit rate

Now you want to set up a new equation to find out how much he makes for 7 hours

x= amount earned per hour

y = total amount earned

y = 7x    Initial equation

y = 7 ( 8.25)   Substitution

y = 57.75  The answer

Han earns $57.75 for every 7 hours

Checking the answer....

y = 7x

57.75 = 7x    Substitute y instead

57.75/7 = 7x/7

8.25 = x

Your answer should be correct

Hope this helps!!!

Triangle a'b'c' is result of dilating abc about point a by a scale factor of 2/3. Determine whether each claim about the properties of abc and a'b'c' is true or false

Answers

Answer:

True , because all properties preserved under dilation from triangle abc to a'b'c'.

Step-by-step explanation:

Given : A triangle abc is dilated by a factor of 2/3 , result triangle a'b'c'

To find :After dilation,  properties of triangle abc and a'b'c' is true or false.

Solution:

          Dilation of a triangle are result either decrease or increase the corresponding length of triangle , its depends on by which scale factor triangle is dilated ,and dilation does not affect the angle measures of triangle.here scale factor is 2/3 so corresponding sides of triangle a'b'c' decreases.

So, dilation of triangle are not congruent but similar to the original triangle abc

Therefore , basic properties of triangle preserved under dilation of triangle by a scale factor.

Answer:

true

Step-by-step explanation:

Write an equation that represents the line.
Use exact number ?

Answers

Answer:

what have we nothing to go buy

Answer:

y=(-4/3)x+2

Step-by-step explanation:

we have two points (3,-2) and (0,2)  given from the statement

the equation of the lines is:

y=mx+b

m=slope

m=(y2-y1)/(x2-x1)

m=(2-(-2))/(0-3)

so we have the slope is

m=4/-3  =-4/3  =-1.3333

we need to find "b"

using the point (0,2)

we have :

2=m*0+b

2=b

finally, we have  

the answer is y=(-4/3)x+2

What is the area of the following square? (Be sure to include units.)
5 cm
5 cm

Answers

The area is 20 Cenimeters

Help plz I need to fin before today help

Answers

Answer:

BD = 12.1 (nearest tenth)

Step-by-step explanation:

∆ABC is an isosceles triangle, since it has two equal sides, AB and BC. Also, this means that <BAD and <BCD = 60° each.

BD divides ∆ABC into two equal parts.

Apply trigonometric ratio to find BD.

Reference angle = <BAD = 60°

Adjacent = AD = 7

Opposite = BD

Thus, we would have:

tan 60 = opp/adj

Tan 60 = BD/7

7*Tan 60 = BD

12.1 = BD

BD = 12.1 (nearest tenth)

help plz I really need to finish​

Answers

Answer:

[tex]26x^6y^4[/tex]

Step-by-step explanation:

the volume is like

[tex]V = length\cdot width\cdot depth[/tex]

so we have

[tex]V= 4yx^5\cdot 3xy\cdot 2y^2\\\\V=(4\cdot 3\cdot 2)(y\cdot y \cdot y^2)(x^5 \cdot x)\\\\V = 24(y^4)(x^6)\\\\V=24x^6y^4[/tex]

Enter an algebraic equation for the word sentence. Use x as your variable.
90 is five times a number.
The equation is

Answers

Answer:

5X=90

Step-by-step explanation:

5x=90

5x=90

5    5

x=18

if you got a 23/25 on a quiz, what is your grade? How do you determine that?

Answers

Answer:

well 25x4=100 so multiply 23 by 4 and that would be 92 so you would have an A or 92%

please help me with this and pls don't answer if you don't know. thank you!

Answers

Answer:

[tex]consider \: triangle \: BDE \\m<BCD = m<BED \\ angles \: of \: triangle \: sum \: up \: to \: 180 ° \\ (14x + 4)° + 55° + 51° = 180° \\ 14x = 180° - (4 + 55 + 51)° \\ 14x = 70° \\ x = \frac{70}{14} \\ x = 5[/tex]

Answer:

x = 5

Step-by-step explanation:

all angles at corners in parallelogram must add to 360

bcd = 51 thus angle at opposite corner (bed) must also equal 51

adding = 51 + 51 = 102

angles at ebc and edc are also equal to each other

edf = 55 and cbf = 55

adding 55+55 = 110

360 - 110 - 102 = 148

divide by 2 for angles ebf and cfd

148/2 = 74

now solve

14x + 4 = 74

14x = 70

x = 5

Find the perimeter of a 35° slice of pizza that has a radius of 8 inches.

Answers

9514 1404 393

Answer:

  20.9 inches

Step-by-step explanation:

The perimeter length is the sum of the lengths of the two straight edges and that of the curved edge.

  P = r + r + rα . . . . . where α is the central angle in radians

35° is (35°/180°)π radians, about 0.6109 radians

Then the perimeter is ...

 P = r(2 +α) = (8 in)(2 +0.6109) ≈ 20.9 in

The perimeter of the slice is about 20.9 inches.

A deli owner sold 90 sandwiches in one day. Of those sandwiches, 36 were pastrami. Write an equation to show what percent of sandwiches sold were pastrami

Answers

Answer:

36/90 * 100 = p

(p is percent sold that were pastrami)

Step-by-step explanation:

First, 36/90 (part over whole), simplifies to 40/100. We can multiply that by 100 to get a percentage. And that is your equation.

B
NEED HELP ASAP Angles A and B are
supplementary. If
MLB-IoTº, what is
the M
(The pic is of the question)

Answers

Answer:

79

Step-by-step explanation:

Supplementary are angles that will add up to 180. So to find the missing angle we do 180 - 101 and get 79.

hope this helps (:

write a quadratic polynomial, sum of whose zeroes is 2 and product is -8​

Answers

Answer:

x^2 +2x-8

Step-by-step explanation:

Here, we want to write the quadratic polynomial given the sum of the root and the product

mathematically, we can have the factors as -2 And +4

So we have the equation as;

(x-2)(x + 4)

= x^2+ 2x - 8

Give the scale factor of figure A to figure B​

Answers

Answer:

4

Step-by-step explanation:

Lucy and JoJo need to make 140 cupcakes for the school dance. Lucy made 35 of the cupcakes JoJo made 42 cupcakes What fraction of the cupcakes do Lucy and JoJo still need to make? (Use / as a fraction bar.)

Answers

Answer:

16/35

Step-by-step explanation:

From the question we are given:

total number of cupcakes needed for the school dance = 140 cupcakes

Lucy made 35cupckes

JoJo made 42 cupcakes

Total cupcakes made by JoJo and Lucy = 35+42 = 76cupcakes

Remaining cupcakes still needed to be made = 140 - 76 = 64cupckes

Fraction of the cupcakes that Lucy and JoJo still need to make = 64/140

Fraction of the cupcakes that Lucy and JoJo still need to make = 16/35

Hence the fraction of the cupcakes that Lucy and JoJo still need to make is 16/35

Answer:

16/35

Step-by-step explanation:

On the swim team, for every 10 girls there are 7 boys. If there are 21 boys on the swim team, how many girls are there?

Answers

Answer:

30 girls

Step-by-step explanation:

Every 10 girls there are 7 boys.

So if there are 3 groups of 7 boys, there will be 30 girls.

Check:

10 girls: 7 boys

+10 girls: 7 boys

+10 girls: 7 boys

= 30 girls: 21 boys

Javon has 1/2 a cup of flour, Sam has 1 1/6 cups of flour, and Antoine has 1 3/4 cups of flour. How many cups of flour do they have all together A. 41/12 B. 17/12 C 2.17 D 2.1712

Answers

I think B but i dont know

The Pythagorean theorem is a2+b2=c2. Solve for b.​

Answers

Answer: what is a and c

Step-by-step explanation:

We need a and c to solve for b.

Alicia received a utility bill in the amont of $90. This number represents 12% of her weekly income. Find Alicia's weekly Income amount.
O $1080
$780
O $102
$750

Answers

Answer:102

Step-by-step explanation:

Answer:

Alicia's weekly income is $750

Step-by-step explanation:

ok so to find the weekly income we have to see which of this options gives $90 when you multiply by 12%.

A. 1,08012% = 0.12

0.12 x 1080 = 129  too high❌

B. 780

0.12 x 780 = 93  close❌

C. 102

0.12 x 102 = 12.24  too low❌

D. 750

0.12 x 750 = 90  correct answer✅

Please mark brainlest if you got it right, its just by clicking the crown on bottom of answer....you can do that when theres already two anwers,thank you :3❤️

QUESTION 23
Tamara has $50 to spend on craft supplies. She spends $30
plus a 5% tax at the store. How much change should she
receive?

Answers

Answer:

the answer is $18.5

Step-by-step explanation:

30 + tax is $31.50

Answer:

$18.50

Step-by-step explanation:

Before Tax Price: $30

Sales Tax Rate: 5%

After Tax Price: $18.50

How can you find how much the sales tax is? Let's say you're buying a $100 item with a sales tax of 5%. Your math would be simply:

[cost of the item] x [percentage as a decimal] = [sales tax]

Step 1 : $30 x .05 (5%) = $1.50 Step 2 : $30 + $1.50 = $31.50Step 3 : $50 - $31.50 = $18.50  

I need help on this one

Answers

Answer:

90

Step-by-step explanation:

you add 15 each time

75+15=90

Answer:

105

Step-by-step explanation:

sequence number x 3 = S1

S1 x 5 = S2

21 x 5 = 105

The best player on a basketball team makes 95​% of all free throws. The​ second-best player makes 90​% of all free throws. The​ third-best player makes 80​% of all free throws. Based on their experimental​ probabilities, estimate the number of free throws each player will make in his or her next 40 attempts. Explain.

Answers

Answer: See explanation

Step-by-step explanation:

The best player on a basketball team makes 95​% of all free throws. The number of free throws the best player will make in his or her next 40 attempts will be:

= 95% × 40

= 95/100 × 40

= 0.95 × 40

= 38

The​ second-best player makes 90​% of all free throws. The number of free throws the best player will make in his or her next 40 attempts will be:

= 90% × 40

= 90/100 × 40

= 0.90 × 40

= 36

The​ third-best player makes 80​% of all free throws. The number of free throws the best player will make in his or her next 40 attempts will be:

= 80% × 40

= 80/100 × 40

= 0.80 × 40

= 32

ASAP! Please do 1-5 and show work if possible!

Answers

Answer :

(1) The radius of a circle is 1.5 m.

(2) The diameter of a circle is 28 ft.

(3) The radius of a circle is 10 in.

(4) The circumference of circle is 47.14 m.

(5) The circumference of circle is 44 yd.

Step-by-step explanation :

Part 1:

Given: d = 3 m

Now we have to determine the radius of circle.

As we know that:

Radius of a circle = [tex]\frac{Diameter}{2}[/tex]

So,

Radius of a circle = [tex]\frac{3m}{2}=1.5m[/tex]

The radius of a circle is 1.5 m.

Part 2:

Given: r = 14 ft

Now we have to determine the diameter of circle.

As we know that:

Radius of a circle = [tex]\frac{Diameter}{2}[/tex]

So,

Diameter of a circle = [tex]Radius\times 2[/tex]

Diameter of a circle = [tex]14ft\times 2=28ft[/tex]

The diameter of a circle is 28 ft.

Part 3:

Given: d = 20 in

Now we have to determine the radius of circle.

As we know that:

Radius of a circle = [tex]\frac{Diameter}{2}[/tex]

So,

Radius of a circle = [tex]\frac{20in}{2}=10in[/tex]

The radius of a circle is 10 in.

Part 4:

Given: d = 15 m

Now we have to determine the circumference of circle.

Formula used:

[tex]C=\pi d[/tex]

where,

C = circumference

d = diameter

So,

[tex]C=\frac{22}{7}\times 15m[/tex]

[tex]C=47.14m[/tex]

The circumference of circle is 47.14 m.

Part 5:

Given: r = 7 yd

Now we have to determine the circumference of circle.

Formula used:

[tex]C=\pi d[/tex]

or we can write,

[tex]C=\pi (2\times r)[/tex]

where,

C = circumference

d = diameter

r = radius

So,

[tex]C=\frac{22}{7}\times (2\times 7yd)[/tex]

[tex]C=44yd[/tex]

The circumference of circle is 44 yd.

What is the slope of the line that passes through the pair of points (3/2, -2) and (-3, 7/3)?
A. -27/26
B. -26/27
C. 26/27
D. 27/26

Can y'all explain, because I know the answer is B, but I can't figure out for the life of me how to get to that answer.

Answers

Answer B.

Explanation: The formula to find slope is as follows (y2-y1) / (x2-x1). You fill in the x and y coordinates to the corresponding spot. Meaning, you would place the 2nd y value, which is 7/3, at y2. Do this for the rest of the values. After filling in each value, you would then subtract accordingly, leaving you with the slope value. Hope this helps.
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