Amy drew a scale drawing of a shopping center. The scale she used was 1 inch : 3 feet. If a bakery in the shopping center is 16 inches wide in the drawing, how wide is the actual bakery?​

Answers

Answer 1

Answer:

48 ft

Step-by-step explanation:

We can use ratios to solve

1 inch          16 inches

------------ = -------------

3 ft               x ft

Using cross products

1 * x = 3 * 16

x = 48

48 ft


Related Questions

can any equation in point-slope form also be written in slope-intercept form?

Answers

Answer:

Yes

Step-by-step explanation:

The way the equation is written in point-slope form is:

[tex]y-y1=m(x-x1)[/tex]

The way we write an equation in slope-intercept form is:

[tex]y=mx+b[/tex]

We can change point-slope form to slope-intercept form by first distributing the m and then adding y1 to both sides of the equation. When we do this we will get:

[tex]y=mx-(m*x+y1)[/tex] where [tex](m*x+y1) = b[/tex]

which is now in slope intercept form.

Which graph represents the solution set of the compound inequality -43x-1 and 2x+43 18?
;+
-10
-5
0
10
-10
-5
0
5
10
-10
10
о
-10
0
5
10

Answers

Answer:

Step-by-step explanation:

YOU CAN DO THIS :)

A power company calculates a person's monthly bill from the number of
kilowatt-hours (kWh), x, used.
The function b(x) = {
0.15x, x < or equal 200
0.10 (x - 200) + 30, x > 200
determines
the bill.
How much is the bill for a person who uses 300 kWh in a month?
A. $45
B. $40
Ο Ο Ο Ο
C. $60
D. $55

please help

Answers

Answer:

B. 40

Step-by-step explanation:

if x=300, it means x>200, then b(x)=0.1(x-200)+30; ⇔ b(x)=0.1*100+30= 40 [USD].

The bill for a person who uses 300 kWh in a month is $40.

Option B is the correct answer.

What is a function?

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

For a person who uses 300 kWh in a month, we need to use the second part of the function:

b(x) = 0.10(x - 200) + 30, x > 200

Substituting x = 300, we get:

b(300) = 0.10(300 - 200) + 30

b(300) = 0.10(100) + 30

b(300) = 10 + 30

b(300) = 40

Therefore,

The bill for a person who uses 300 kWh in a month is $40.

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ7

Draw a net for the prism.Find the surface area.​

Answers

Nos al cuadrado pones le 3 y lo redondeas

PLS HELP!!! WILL GIVE BRAINLIEST AND 5 STARS

Answers

Answer:

she had to sy difference of 35 and 16

sum of 10 and 9

sum of 14 and 2

Step-by-step explanation:

What is the value of x?

Answers

Answer:

the value of x is 6 i believe

Step-by-step explanation:

What is value of x? Value of x is used to consider unknown value. The letter “x” is commonly used in algebra to indicate an unknown value. It is referred to as a “variable” or, in some cases, a “unknown.” In x + 2 = 7, x is a variable. But its value may be determined if we try! A variable need not be “x,” but might be “y,” "w," or any other letter, name, or symbol.



RAMP
21.7 ft
8.5 ft
12 ft
20 ft
1. What is the total surface area of the ramp?

Answers

The surface area of the triangular prism ramp is: 1,020 ft².

Surface Area of Triangular Prism

Surface area = 1/2(base area × height)

The triangular prism has the following dimensions:

base area = 20 × 12 = 240 ft²

height = 8.5 ft

Plug the values into the formula:

Surface area = 1/2(240 × 8.5)

Surface area = 1/2(2,040)

Surface area = 1,020 ft²

Therefore, the surface area of the triangular prism ramp is: 1,020 ft².

Learn more about triangular prism on:

https://brainly.com/question/16147227

Reciprocal of 7 5/8 as fraction

Answers

Hey there!

7 5/8

= 7 * 8 + 5 / 8

= 56 + 5 / 8

= 61 / 8

= 61 ÷ 8

= 7.625

Reciprocal form for fraction is basically the bottom number switched from the top number

Therefore, your answer is: 7 8/5

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Estimate a 15% tip on a dinner bill of 68.47 by first rounding the bill amount to the nearest ten dollars. please help thanks

Answers

$10.50
Round to $70
10% Of 70= $7
5% of 70 = $3.50
So, 15% = $10.50

Alex owns a miniature model of a train. The actual train is 14 feet tall and 70 feet long. If Alex's model is 6 inches tall, what is its length, rounded to the nearest inch?.

Answers

6 is multiplied by 2 1/3 to get to 14. 70 divided by 2 1/3 is 30. The model of the train is 30 inches long.

#Help plz
#No spam -_-||
#Quality answer needed​​

Answers

Solutions:[tex] {x}^{2} - 7x + 12 \\ = {x}^{2} - 3x - 4x + 12 \\ = x(x - 3) - 4(x - 3) \\ = (x - 3)(x - 4)[/tex][tex] {4a}^{2} + 24a + 9 \\ = 4a(a + 6) + 9[/tex][tex] {49x}^{2} - {16y}^{2} \\ = {(7x)}^{2} - {(4y)}^{2} \\ = (7x - 4y)(7x + 4y)[/tex]

Hope it helps.

Do comment if you have any query.

Can someone help? Show work

Answers

Answer:

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

Step-by-step explanation:

[tex]\sqrt{50}[/tex]

[tex]\sqrt{25} = 5^{2}[/tex]•[tex]2[/tex]

[tex]\sqrt{5^{2} }[/tex]×[tex]\sqrt{2}[/tex]

since 5 is squared the square root cancels out

so 5[tex]\sqrt{2}[/tex]

I need help with this please.

1. Which value is the closest to 1/9 • 24/25 (fractions)

a. 0
b. 0.5
c. 1
d. 21/20 (fraction)

Explain your answer:

Answers

The correct answer is 21/20

1/9•24/25=1.06 making 21/20 the closest option because 21/20 is 1.05 :)

Which of these is a ratio equivalent to 3/2?

A. 6/4
B. 3/4
C. 5/2
D. 5/2

Answers

Answer:

A

Hope I helped

A. 6/4

6 and 4 have a common factor of 2.
This means we need to divide 6 by 2 and 4 by 2. That gives us 3 and 2.

6/4 simplified is 3/2.

The average electric bill from Duke Energy is $147 with a standard deviation of $32. What is the probability that the bill will be less than $100?
Group of answer choices

93%

10%

7%

17%

Answers

The probability that the bill will be less than $100 is 7%

The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

[tex]z=\frac{x-\mu}{\sigma} \\\\x=raw\ score, \sigma=standard\ deviation, \mu=mean\\\\\\Given\ that\ \sigma=32,\mu=147,hence:\\\\For\ x<100:\\\\z=\frac{100-147}{32}=-1.47[/tex]

From the normal distribution table, P(x < 100) = P(z < -1.47) = 0.0708 = 7.08%

The probability that the bill will be less than $100 is 7%

Find out more at: https://brainly.com/question/15016913

Solve the following system of equations graphically on the set of axes below.
y=x+1

3x+y=−7


(worth 60 points)

Answers

Answer:

(-2, -1)

Step-by-step explanation:

Given system:

y = x + 13x + y = − 7

Graph each line and find the point of intersection of lines.

Graphical solution is attached.

The solution is (-2, -1)

(-2, -1)

y = x + 1 ... (1)

3x + y = -7 ... (2)

Graph in the picture.

What is 926 - 628 estimated using compatible numbers​

Answers

Answer:

298

Step-by-step explanation:

Raj had 1/2 gallon of orange juice. He used 8/9 of the juice to make punch. Raj used this expression to find the amount of juice he used to make punch. 1/2 x 8/9
how much orange juice did Raj use to make punch? the fraction need to be in the simplest form.

Answers

Answer:

4/9

Hope i helped

SOMEONE PLEASE HELP‼️‼️‼️ILL MARK BRAINLYEST WHAT EVER IT IS CALLED PLEASE ‼️‼️‼️
1. Find the value of x in the figure below if GH is parallel to JK.

A. 4 units
B. 9.8 units
C. 6.7 units
D. 5 units

Answers

Answer:

  D.  5 units

Step-by-step explanation:

The parallel segments divide the slant segments proportionally:

  7.5/10.5 = x/7

  x = 7(7.5/10.5) = 5 . . . . . multiply by 7

The value of x is 5 units.

_____

If you want to use corresponding sides of similar triangles, you get the same result. ΔIGH ~ ΔIJK

  IJ/IG = IK/IH

  7/(7+10.5) = x/(x+7.5) . . . . substitute shown values

  7(x +7.5) = 17.5x . . . . . . . cross multiply

  7(7.5) = 10.5x . . . . . . . . . subtract 7x

 x = 7(7.5/10.5) = 5 . . . . . divide by the coefficient of x

Answer:

D 5 units

Step-by-step explanation:

I got it right on the quiz

plz help 25 pts and ill mark u brainliest

Answers

Answer:

if your doing scientific notation then 2.7x10^3 would be the only one correct. if its not scientific notation then 27x10^3 would be more because it would be equivilent to 2700<27000

Step-by-step explanation:

Answer: B

Step-by-step explanation:

10 to the third power is 10*10*10

10*10=100

100*10=1000

2.7*1000=2700

Second Statement

10 to the power of 3 is 10*10*10

10*10=100

100*10=1000

27*1000=27,000

B is the answer

Hope this helped, can i please have brainliest, if not thats alright

Have a Great Day

1. find the area of a semi circle of diameter 14cm
2.find the area of a circle of radius 1cm
3.find the areaof a circular lawn whose diameter is 10cm

Answers

#1

d=14cmr=14/2=7cm

[tex]\\ \sf\longmapsto Area=\pi r^2[/tex]

[tex]\\ \sf\longmapsto Area=3.14(7)^2[/tex]

[tex]\\ \sf\longmapsto Area\approx 154cm^2[/tex]

#2

r=1cm

[tex]\\ \sf\longmapsto Area=\pi r^2[/tex]

[tex]\\ \sf\longmapsto Area=3.14(1)^2[/tex]

[tex]\\ \sf\longmapsto Area=3.14cm^2[/tex]

#3

d=10cmr=5cm

[tex]\\ \sf\longmapsto Area=3.14(5)^2[/tex]

[tex]\\ \sf\longmapsto Area=3.14(25)[/tex]

[tex]\\ \sf\longmapsto Area=78.5cm^2[/tex]

Answer:

1. Diameter of a semicircles =14cm

Radius or semicircle =7cm

*Area if circle =pi radius 2

=22/7 × 7×7cm 2

=154cm 2

But semicircle is half if a circle so,

Area of a semicircle =1/2 ×154cm2

=77cm2

2. Radius of the circle =1cm

Area of the circle=pi radius 2

=3.14×1×1

=3.14cm2

3.Diameter of a circular lawn=10m

Radius of the circular lawn =5m

Area of the circular lawn =pi radius2

=3.14×5m×5m

=78.5m2

Hope this helps:)

Evaluate 4(x-3)+5x-x^2 for x = 5

Answers

Answer:

the answer is 8

Step-by-step explanation:

1. plug in 5 where there is an x: 4(5-3)+5(5)-[tex]5^{2}[/tex]

2. solve everything out and cancel: 4(2)+25-25

3. 4(2)=8

Step-by-step explanation:

Given that:

Evaluate 4(x-3)+5x-x^2 for x = 5

⇛4(5-3)+5(5)-5²

⇛4(2) + 25 - 5*5

⇛8 + 25 - 25

⇛8 - 0

⇛8 Ans

Read more:

Similar questions

Evaluate the expression 3 4/5x − 2 1/2 for x = −5.

https://brainly.com/question/13793815?referrer

1.) 5x-10=2x-7
2.) 1+x=-5x+25
3.) 8-x=5x+20
4.) -2+2x=6x-6
5.) 3x+2=4x+4

Answers

1.) 5x-10=2x-7 Answer: x=1
2.) 1+x=-5x+25 Answer: x=4
3.) 8-x=5x+20 Answer: x=-2
4.) -2+2x=6x-6 Answer: x=1
5.) 3x+2=4x+4 Answer: x=-2
the first one would be x=1 sorry I had to answer questions so I could ask questions myself.

what does b=????
27b-9=45b+45

Answers

Answer:

b=-3

Step-by-step explanation:

please guys help me qith this i will brainlist u i promise

write the standard form of the given number words

1.three million,eighty-five thousand three

2.one hundred fourteen million,seven hundred twenty-six.

3.seven million ninety-eight thousand

4.eight hundred eighty-two thousand,one hundred eight

5.five hundred million,six thousand,seven hundred nineteen.​

Answers

Answer:

1. 3,085,003

2. 114,000,726

3. 7,098,000

4. 882,108

5. 500,006,719

Step-by-step explanation:

Exponent question. image attached

Answers

Step-by-step explanation:

Find a common power for them all, then divide and get your answer

What is the sum of all the values of m that satisfies [tex]4mx^{2} −2m-6=0[/tex]

Answers

Answer:

The sum of the solutions = 1/2

Step-by-step explanation:

4m^2 - 2m - 6 = 0

Factor out 2

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

2 ( 2m-3)(m+1) =0

Using the zero product property

2m-3 =0           m+1 =0

2m =3              m=-1

m = 3/2              m=-1

Adding the solutions

3/2 -1

+3/2 -2/2

1/2

9514 1404 393

Answer:

  1/2

Step-by-step explanation:

A quadratic equations that has solutions p and q can be factored as ...

  (x -p)(x -q) = 0

When this is expanded, it becomes ...

  x^2 -(p+q)x +pq = 0

That is, the opposite of the x-coefficient is the sum of the solutions.

__

We can put your quadratic into this form by dividing by the leading coefficient, 4.

  (1/4)(4m^2 -2m -6) = 0

  m^2 -1/2m -3/2 = 0

The coefficient of the linear term is -1/2. This tells us the sum of the solutions is -(-1/2) = 1/2.

in figure abcd is a parallelogram DE is perpendicular to AB DF perpendicular to BC and angle EDF=60 degree find angles of parallelogram

Answers

Answer:

What is the product of −2 1/2 and −3 1/3

Step-by-step explanation:

What is the product of −2 1/2 and −3 1/3

find the equation of the line shown

Answers

Find the equation of the line shown in the picture.

Answer:

y = x + 6

Answer:

firstly you have to find the slope of the line.

Step-by-step explanation:

for thus, use the number which is on the coordinate system like x and y. the slope is (10-6)/(4-0) =1 so m=1

the equation should be on this form y-y1=m"(x-x1)

then put the value of y and x from equation.

when the x is 4 the y have to be 10

y-10=1*(x-4)

finally the equation is y=x+6

Divide: 2 ÷ 1
2

A.2
B.16
C.8
D.4

Answers

Answer:

the answer is 2..............

Answer:

2÷1= 2

Step-by-step explanation:

2X1=2 so 2÷1=2

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