The cost per year to lease a coffee shop in downtown Austin varies directly with the size of the shop if a 1,425 square foot shop costs 45,600 to lease for the year, how expensive is it to lease a shop that is 1,820 square feet? lease price??​

Answers

Answer 1

Answer:

58240

Step-by-step explanation:

Given

Represent cost with c and size with s.

So, we have:

[tex]s = 1425[/tex] when [tex]c =45600[/tex]

Required

Find c when s = 1820

For direct variation, we have:

[tex]c\ \alpha\ s[/tex]

Write as equation:

[tex]c = ks[/tex]

[tex]c = 1425[/tex] when [tex]s =45600[/tex], we have:

[tex]45600= k * 1425[/tex]

[tex]k = \frac{45600}{1425}[/tex]

[tex]k = 32[/tex]

So, the equation is:

[tex]c=32s[/tex]

When s = 1820

[tex]c = 32 * 1820[/tex]

[tex]c = 58240[/tex]


Related Questions

Amy was given an amount of money, m, for good grades on her report card. She spent $15.00 and now has $25.32. How much money did she get for good grades?

Which equation could you use to solve this problem, using m as your variable? answer choices is A.m + 25.32 = 15

b.m/25.32

c.m - 15 = 25.32

D.15m = 25.32

Answers

Answer:

c

Step-by-step explanation:

(8x + 13y) + (10x + 15y)

Answers

Answer:

Hey! 18 x + 28y is your answer

Step-by-step explanation:

Have a nice day! :)

Which transformation is a translation?​

Answers

Answer:

D is a translation

Step-by-step explanation:

It moves down vertically instead of rotating

Which of the following statements must be true about parallelogram ABCD?

Answers

Answer:

A.) ΔABC = ΔCDA_______________

Step-by-step explanation:

Because both are vertically opposite Δangles_______________FOLLOW ME

Answer:

ΔABC = ΔCDA

Step-by-step explanation:

The perimeter of the triangle below is 42 units.
x + 5
Х
x+7
What is the value of x?

Answers

Answer:

x + 5+x+7+Х=42units

3x=42-12

x=30/3

x=10

Pls help me I really don’t get it

Answers

I think its talking about proportional or non-proportional.. if it is its proportional

At a football game, 43% of people attending were supporting the home team, while 57% were supporting the visiting team. If the total number of people attending the game was 4500, how many people attending were supporters of the home team?

Answers

Answer:

1935

Step-by-step explanation:

Trust me

There are 1,935 peoples attending were supporters of the home team.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Given that;

The total number of people attending the game = 4500

At a football game, 43% of people attending were supporting the home team.

And, 57% were supporting the visiting team.

Now,

Since, The total number of people attending the game = 4500

Hence, Number of supporters of the home team = 43% of 4500

                                                                           = 43/100 x 4500

                                                                           = 1,935

Thus, There are 1,935 peoples attending were supporters of the home team.

Learn more about the percentage visit:

https://brainly.com/question/843074

#SPJ2

ANSWER ALL 3 FOR BRANLIEST +10 POINTS PLEASEEEE 10. Which one is the best deal: 4 shirts for $15, 6 shirts for $17, or 3 shirts for $8?
11. A car travels 30 miles in 50 minutes. How far does the car travel per minute?
12. Tom bought 5 notebooks that each cost $2.75. How much money did he spend?

Answers

Answer:

1) 3 shirts for $8.

2)0.6 miles per minute

3) $13.75

Answer:

hello

Step-by-step explanation:

i think 10.4 shirts for 15$

11. 50/30=1.6

12. 5×2.75$=13.75$

hope it helps

have a nice day

bye

What is the value of x in the solution to this system of equations?
X-y=6
y=2x-5
A 1
B-1

C3
D-7

Answers

Answer:

B) -1

The 'x' value =-1 and y =-7

The solution of the given system of equations

(-1,-7)

   

Step-by-step explanation:

Step(i)

Given that the system of equations

                 x-y = 6 ..(i)

                y = 2x -5 ..(ii)

By using substitution method,

substitute y=2x-5 in equation (i) , we get

        x -(2x-5) =6

       x -2x+5 =6

           -x = 6-5

           -x =1

            x=-1

Step(ii):-

Put x=-1 in equation (ii) , we get

       y = 2(-1) -5 = -2-5 =-7

The solution of the given system of equations

(-1,-7)

   

Answer:

Step-by-step explanation:

B) -1

The 'x' value =-1 and y =-7

The solution of the given system of equations

(-1,-7)

   

Step-by-step explanation:

Step(i)

Given that the system of equations

                x-y = 6 ..(i)

               y = 2x -5 ..(ii)

By using substitution method,

substitute y=2x-5 in equation (i) , we get

       x -(2x-5) =6

      x -2x+5 =6

          -x = 6-5

          -x =1

           x=-1

Step(ii):-

Put x=-1 in equation (ii) , we get

      y = 2(-1) -5 = -2-5 =-7

The solution of the given system of equations

(-1,-7)

Factor the expression and then evaluate without a calculator: 3·(m−4)−n·(m−4), if m=5, and n=4 : The factored expression is ___, the numerical value of it is ___.

Answers

Answer:

-1

Step-by-step explanation:

equation:

3(5-4)-4(5-4)

3*5-3*4 -4*5-4*-4

15-12-20+16

3-4

-1

please help me ASAP!!!

Answers

Answer:

z = -3/2 , z = -1/2

Step-by-step explanation:

Given:

7z² + 8z + 3 = 3z²

Find:

Values of z

Computation:

7z² + 8z + 3 = 3z²

7z² + 8z + 3 - 3z² = 0

4z²+ 8z + 3 = 0

4z²+ (6+2)z + 3 = 0

4z²+ 6z + 2z + 3 = 0

2z(2z + 3) + 1(2z + 3) = 0

(2z + 3)(2z + 1) = 0

So,

z = -3/2 , z = -1/2

Graph: f(x) = 0.5^x- 3
Step 1: Calculate the initial value of the function.
f(0) =

Answers

The initial value of a function is the value of the function, when x = 0

The initial value of the function is -2.

The function is given as:

[tex]\mathbf{f(x) = 0.5^x - 3}[/tex]

To calculate the initial value, we simply substitute 0 for x.

So, we have:

[tex]\mathbf{f(0) = 0.5^0 - 3}[/tex]

Evaluate the exponents

[tex]\mathbf{f(0) = 1 - 3}[/tex]

Subtract 3 from 1

[tex]\mathbf{f(0) = - 2}[/tex]

Hence, the initial value of the function is -2.

Read more about functions at:

https://brainly.com/question/16863582

Answer:

See picture

Step-by-step explanation:

Can someone please help me with this show work bc I don’t understand this I’ll give brainliest

Answers

Answer: 9

[tex]\frac{30a^{6}b^{10} }{12a^{11}b^{6} }=\frac{5b^{4} }{2a^{5} }[/tex]

but [tex]\frac{30a^{6}b^{10} }{12a^{11}b^{6} }=\frac{5b^{m} }{2a^{n} }[/tex]

=> m = 4

    n = 5

=> m + n = 4 + 5 = 9

Step-by-step explanation:

Help me please. Not much I understand here. Please guys?

Answers

Answer:

50.2cm

Step-by-step explanation:

16/sin(65)=17.65 (2 of those)

16/tan(65)=7.46 (base)

17.65+17.65+7.46=50.23

HELP PLSSSSSS



Mallory bought pizza and soda for her End of Summer party. If she spent $12.57 on the
sodas and $10.95 for each pizza, how many pizzas did she buy if she spent $89.22?
Which equation models this scenario?
12.57 + 10.95 = 89.22
10.95x + 12.57 =
89.22
12.57x + 10.95 =
89.22
89.22x - 10.95 = 12.57

Answers

Answer:

10.95x + 12.57 = 89.22

Step-by-step explanation:

What is the product?
(3a7b7) (sab)
815615
8a15
1575515
157555

Answers

Answer:

A

Step-by-step explanation:

Hope it helps!

I might be wrong, extremely sorry if I am

Need help for Geometry

Answers

Direct answer :[tex] \color{plum} \: x \: \bold{ \tt \: = \: 11}[/tex]Steps to derive the correct answer :

Given :

segment AB = segment DEsegment BC = segment EFsegment AC = segment DF

Since all sides are equal triangle ABC is congruent to triangle DEF under the SSS congruence criterion.

m∠B = (92+y)°

m∠E = (6y-28)°

We know that :

angle B = angle E

Which means :

[tex] = \tt92 + y = 6y - 28[/tex]

[tex] =\tt 92 = 6y - 28 - y[/tex]

[tex] =\tt 92 = 5y - 28[/tex]

[tex] = \tt92 + 28 = 5y[/tex]

[tex] = \tt120 = 5y[/tex]

[tex] =\tt y = \frac{120}{5} [/tex]

[tex] =\tt y = 24[/tex]

Thus, the value of y = 24

Then :

angle B :

[tex] =\tt 92 + y[/tex]

[tex] =\tt 92 + 24[/tex]

[tex] = \tt116[/tex]

Thus, the measure of angle B = 116

angle E :

[tex] = \tt6y - 28[/tex]

[tex] =\tt 6 \times 24 - 28[/tex]

[tex] =\tt 144 - 28[/tex]

[tex] =\tt 116[/tex]

Thus, the measure of angle E = 116

Since the measure of both these angles is equal we can conclude that we have found out their correct measures.

measure of segment AC = 2x + 47

Measure of segment DF = 6x + 3

Segment AC = Segment EF

Which means :

[tex] = \tt6x + 3 = 2x + 47[/tex]

[tex] = \tt6x + 3 - 2x = 47[/tex]

[tex] = \tt4x + 3 = 47[/tex]

[tex] \tt4x = 47 - 3 \\ 4x = 44[/tex]

[tex] =\tt x = \frac{44}{4} [/tex]

[tex] =\tt x = 11[/tex]

Thus, the value of x = 11

Let us check whether or not we have found out the correct value of x by placing 11 in the place of x :

[tex] = \tt6 \times 11 + 3 = 11 \times 2 + 47[/tex]

[tex] =\tt 66 + 3 = 22 + 47[/tex]

[tex] =\tt 69 = 69[/tex]

m∠B = 69°m∠C = 69°Therefore, the value of x = 11

Each circle counts as one whole, Write a mixed number giving the amount shaded. Then, write this amount as an improper fraction.​

Answers

Answer:

[tex]2 \frac{2}{5} [/tex]

[tex] \frac{12}{5} [/tex]

Step-by-step explanation:

As a mixed fraction, There are 3 circles with 5 pieces in each so our denominator will be 5

The number that is shaded is 2 whole circles so that is 10 and 2 out of 5 of last one.

The whole number is 2 and the fraction for the last circle is 2/5 so our mixed number is

[tex]2 \frac{2}{5} [/tex]

Now to find the improper fraction turn 2 into a fraction with 5 as a denominator.

[tex] \frac{2}{1} \times \frac{5}{5} [/tex]

Which equal

[tex] \frac{10}{5} [/tex]

Then add 2/5 to 10/5

[tex] \frac{10}{5} + \frac{2}{5} = \frac{12}{5} [/tex]

the graphs below have the same shape. what is the equation of the graph of g(x)​

Answers

Answer:

D

Step-by-step explanation:

Proablas always have x squared. They are never in parentheses. The plus or minus sign determine who way it's facing.

Answer:

Its A i just took the test

Step-by-step explanation:

wfijkewbsgkjvhnetrsjkgvn

cuales son los angulos de 125
[tex] [/tex]

Answers

Answer:

Ángulo de 125 grados Cómo se llama

Este ángulo es obtuso porque 120 es un número mayor que 90 y menor que 180. Es decir, la amplitud de este ángulo mide entre los 90º y los 180º: 90º < 120º < 180º.

Step-by-step explanation:

Find the values of x and y in the diagram. ​

Answers

Answers:

x = 18

y = 6

==========================================================

Explanation:

Focus on triangle TRS. This triangle has congruent base angles as shown by the double arcs. This means that the sides opposite these angles (TR and RS) are congruent. So TR = RS.

Because RS = 11, this makes TR = 11 too.

Now move onto triangle UTR. This triangle is equilateral because each angle is the same measure (each angle being 60 degrees).

So UT and TR are the same length, and,

UT = TR

x-7 = 11

x-7+7 = 11+7

x = 18

--------------

Since every angle of triangle UTR is 60 degrees, this makes angle URT 60 degrees and angle TRS to be 180-60 = 120 degrees.

Move back to triangle TRS. We have these interior angles:

R = 120T = 5yS = 5y

For any triangle, the interior angles always add to 180

R+T+S = 180

120+5y+5y = 180

10y+120 = 180

10y = 180-120

10y = 60

y = 60/10

y = 6

help me with the question in the image​

Answers

Answer:

using the 1/2 ^x will let u make -3 into -1.5 and using that to multiply 3 would equal -4.5 now u have to minus the 1/2^x which is 0.5 and therefore it is four and next to the x u have 2 which means ur point is (2,-4)

Step-by-step explanation:

explained it up there

Sarah’s mom got her a Math tutor because she scored a 65 on her first math test. After getting some extra help, she scored a 69 on the second test, a 73 on the third test, and a 77 on the fourth test. If this pattern continues, on what test will Sarah score a 93?

Answers

Answer:

The eight test

Step-by-step explanation:

The sequence is

65, 69, 73, 77, 81, 85, 89, 93

hey click here and answer correct or i will report YOU !

Answers

9514 1404 393

Answer:

cabd

Step-by-step explanation:

1. √2 ≈ 1.414, √3 ≈ 1.732. The only rational numbers listed are 1.5 and 1.8. Of those, only 1.5 falls in the required range.

__

2. The remainder theorem tells you the remainder from the division will be the value of the dividend when x is -1/2. (x = -1/2 makes the divisor zero.) That value is ...

  8x²(x² -1) +7 = 8(1/4)(1/4 -1) +7 = 2(-3/4) +7 = 14/2 -3/2 = 11/2

__

3. The x-coordinate of 0 means the point lies on the y-axis.

__

4. Filling in the values of x and y, you find k to be ...

  2(2) +3(-1) = k = 1

PLZ HELP ME ON THIS!!!!

Answers

Answer:

C

Step-by-step explanation:

the anderton is between 9 and 13

Answer:

B

Step-by-step explanation

Binh has to write an 8-page report. If he has written 3/4 of his report so far, how many pages has he written?

Answers

Answer:

6 pages

Step-by-step explanation:

3/4 = 8 = 2 = 1/2 = 3/4 / 8 = 6

This is confusing to understand but that's how I solved it.

f(x)=x^2+3x-5. find and simplify f(x+h)-f(x)

Answers

Answer:

[tex]f(x + h) - f(x) = h^2 + 3h - 5[/tex]

Step-by-step explanation:

Given

[tex]f(x) = x^2 + 3x - 5[/tex]

Required

Find f(x + h) - f(x)

In functions:

[tex]f(x + h) = f(x) + f(h)[/tex]

So:

[tex]f(x + h) - f(x) = f(x) + f(h) - f(x)[/tex]

Collect Like Terms

[tex]f(x + h) - f(x) = f(x) - f(x)+ f(h)[/tex]

[tex]f(x + h) - f(x) = f(h)[/tex]

Solving for f(h)

[tex]f(h) = h^2 + 3h - 5[/tex]

So:

[tex]f(x + h) - f(x) = h^2 + 3h - 5[/tex]

what’s the answer ?

Answers

$34 divided by $3 because he spent $3 for each hour. The answer is A 11.3333

Please help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

y = 4x + 1

Step-by-step explanation:

first use y-y/x-x

(-2, -7), (3, 13)

-7-13 / -2-3

-20 / -5

4x is the slope

i'm going to do another way of finding the y-intercept, but you should learn how to do the way you're being asked here

y = mx + b

-7 = 4(-2) + b

-7 = -8 + b

1 = b

y = 4x + 1 is your answer

Answer:

y-y1=m(x-x1) form:

       y+7=4(x=2)

mx+b form:

        y=4x+1

Graph:

Hope this helps! <3

PLZ HELPPPPPPPPPPPPPPPPPPPPPPP

Answers

The answer is 360 employees.
60% have 2+ kids, so 40% have less than 2 kids.

40/240 = 60/x
40x = (240)(60)
40x = 14,400, then divide both sides by 40
x = 360
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