Natalia is making a model of a statue using a scale in which 7 centimeter equals 4 feet. If the model is 3.5 centimeters wide, what is the actual width of the statue, in feet? Your answer can be exact or rounded to two decimal places,​

Answers

Answer 1

Answer:

2 ft

Step-by-step explanation:

[tex] \dfrac{7}{4} = \dfrac{3.5}{x} [/tex]

[tex] 7x = 4 \times 3.5 [/tex]

[tex] x = 2 [/tex]

Answer: 2 ft


Related Questions

Which of the following is true given f(x)= 2x^2-6?

Answers

Answer:

option plz

Step-by-step explanation:

where is the option

I need help ASAP please help me I’ll give Brainliest

Answers

Answer:

Step-by-step explanation:

A and C are equivalent.

6d+6=2(3d+3)

6d+6=3d+3+3d+3=(3d+3)+(3d+3)

Answer:

A and C

Step-by-step explanation:

Given

4d + 6 + 2d ← collect like terms

= 6d + 6

Comparing the following

A

2(3d + 3) ← distribute parenthesis by 2

= 6d + 6

B

6(d + 6) ← distribute parenthesis by 6

= 6d + 36 ≠ 6d + 6

C

(3d + 3) + (3d + 3) ← remove parenthesis

= 3d + 3 + 3d + 3 ← collect like terms

= 6d + 6

Thus A and C are equivalent to the original expression


What steps do you need to take to solve the equation 2x+6= 18?
Choose the correct answer below.
A. Subtract 6. Then, multiply by 2.
B. Subtract 6. Then, divide by 2.
C. Add 6. Then, divide by 2.
D. Add 6. Then, multiply by 2.

Answers

Answer:

B subtract 6 then divide by 2

Answer:

B. Subtract 6. Then, divide by 2.

Step-by-step explanation:

2x + 6 = 18

Subtract 6 from both sides.

2x = 12

Divide both sides by 2.

x = 6

Answer: B. Subtract 6. Then, divide by 2.

Round 7 to the nearest 10​

Answers

Answer:

You can't round 7 to the nearest to 10, because there is nothing to round.

Step-by-step explanation:

PLZ HELP ILL GIVE U BRAINLIEST

Answers

25 because 5 (the number of sticks) times 5 (the number of houses) equals 25

Help me please. I’ll mark brainliest

Answers

Answer:

I don't really understand this question

But if it's asking you to switch,

1. r = 2.5

2. r = 12

3. d = 34

plz help
a diagram with line m parallel to line n is shown express the value of y in terms of x

Answers

Answer:

y = 170 - 3x

Step-by-step explanation:

l // m

y + 3x + 10 = 180  {co interior angles are supplementary}

 y + 3x   = 180 - 10   {Subtract 10 from both sides}

   y+ 3x = 170      {Subtract 3x from both sides}

          y = 170 - 3x

50 POINTS! false answers will be reported and u wont get points

Can a solution to this equation be 3, because then both sides would have divide by 0?

Answers

Answer:

Step-by-step explanation:

If we multiply x - 7 by x - 3, we get x^2 - 10x + 21.  This shows that the LCD is x^2 - 10x + 21, or (x - 7)(x - 3).  Let's convert each of the two fractions on the right to their equivalents, with the LCD in the denominator.

Multiplying both the numerator and the denominator of 6/(x - 7) by (x - 3), we get 6(x - 3) over x^2 - 10x + 21, which is the LCD.

Similarly, we get 5(x - 7) over x^2 - 10x + 21.

Now all three of the original fractions have the same denominator, x^2 - 10x + 21.  We can now "drop" the LCD, which leaves us with:

x^2 - 29 = 6(x - 3) + 5(x - 7)  

                                                             

Performing the indicated multiplications, we get:

x^2 - 29 = 6x - 18 + 5x - 35.  Combining like terms:

x^2 - 29 = 11x - 53, or x^2 - 11x + 24 = 0

This factors as follows:   x^2 - 11x + 24 = 0 = (x - 3)(X - 8) = 0

Then the preliminary solutions are x = 3 and x = 8.  Unfortunately, we cannot substitute x = 3 into the original equation, because that would lead to division by zero.  The only valid solution is x = 8, since every term of the original equation is defined at x = 8, and the equation is true for this value.

Repeat:  3 cannot be a solution because the 3rd fraction is undefined at

x = 3.  So we have only one valid solution (8) with no other solution to multiply by 8.

Answer: You may divide by a variable. But only if you know the variable is non-zero. So, if setting the variable to zero makes both sides of the equation zero, we have a solution that that variable is 0, or the equation with the variable divided out holds. E.g. solve x(x-1) = 0.

A pack of 12 retractable pens costs $12.24.



What is the price of 6 pens?

Answers

Answer:

Step-by-step explanation:

Cost of 12 pens = 12.24

Cost of each pen = 12.24 ÷ 12 = 1.02

Cost of 6 pens = 6.12

find out how much one pen costs
$12.24 divide by 12 = $1.02
$1.02 x 6 = $6.12

Kim has 425 beads.Some are yellow and some are blue write 3 different equations that could show how many yellow and blue kim has

Answers

Answer:

1 times 425

400+25

210+215

Step-by-step explanation:

True or false: Every sequence is either arithmetic or geometric. If this is true, explain. If false, give a counterexample to illustrate.​

Answers

Answer:

No false

Step-by-step explanation:

Theres the fibonacci sequance 1,1,2,3,5,8...

A buyer borrowed $85,000 to be repaid in monthly installments of $823.76 at 11.5% annual interest. How much of the buyer's first-month payment was applied to reducing the principal amount of the loan?

Answers

Answer: $9.18

Step-by-step explanation:

The payment of $823.76 will go towards both interest and principal repayments.

Find out the interest paid from the amount and deduct it from the monthly payment to find the principal repayment.

Monthly interest payment:

= (85,000 * 11.5%) / 12 months

= $814.58

Principal repayment = 823.76 - 814.58

= $9.18

Please help !!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:A-false B-false C-true D-true E-false

Step-by-step explanation:

if im wrong pls tell me :)

Prism A is a triangular prism. The triangular base has a base of 7 meters and height of 9 meters. The prism has a height of 4 meters. Prism B is a rectangular prism with length of 8 meters, width of 2 meters, and height of 8 meters. Which prism has the least volume? Prism '

Answers

*see attachment for the diagram of the prisms

Answer:

Prism A

Step-by-step explanation:

✔️Volume of triangular prism (Prism A) = ½×bhl

b = 7 m

h = 9 m

l = 4 m

Volume of Prism A = ½ × 7 × 9 × 4

Volume of Prism A = 126 m³

✔️Volume of rectangular prism (Prism B) = L × W × H

L = 8 m

W = 2 m

H = 8 m

Volume of Prism B = 8 × 2 × 8 = 128 m³

✔️Prism A has the least volume

Answer:

Prism A has the least volume!

Step-by-step explanation:

I took the assignment on Edge and got it right. :)

angle sum theory

A)105°

B)97°

C)106°

D)100°

Answers

Answer: b.97
97+37+46=180

Work out m and c for the line: y=3x

Answers

Answer:

m = 3, c = 0

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x , or y = 3x + 0 ← is in slope- intercept form

with m = 3 and c = 0

Find the points of intersection of the circles.

Answers

Answer:

D. (5,0) and (5,10)

Step-by-step explanation:

Please help this is soo easy. I need it for my lil sis

Answers

Answer:

14

3/8 lb

1 1/4 lb

Step-by-step explanation:

Answer:

Packages of Meat altogether- 14

Total Weigh- 1 1/2

George has only Quarters and nickels in his piggy bank.He has a total of 90 coins.The value of the coins is $16.10. Write and solve a system that can be used to determined how many quarters and how many nickels he has.

Answers

Answer:

The number of

Quarters = q = 58 quarters

Nickels = n = 32 nickels

Step-by-step explanation:

It is important to note that:

A quarter is worth 25 cents = 0.25q

A nickel is worth 5 cents = 0.05n

George has only Quarters and nickels in his piggy bank.

Let the number of

Quarters = q

Nickels = n

He has a total of 90 coins.

Hence,

q + n = 90.... Equation 1

q = 90 - n

The value of the coins is $16.10.

Hence,

0.25q + 0.05n = 16.10....Equation 2

We substitute 90 - n for q in Equation 2

0.25(90 - n) + 0.05n = 16.10

22.5 - 0.25n + 0.05n = 16.10

Collect like terms

- 0.25n + 0.05n = 16.10 - 22.5

-0.2n = - 6.4

n = -6.4/-0.2

n = 32 nickels

Solving for q

q = 90 - n

q = 90 - 32

q = 58 quarters

Therefore, the number of

Quarters = q = 58 quarters

Nickels = n = 32 nickels

-3x+4=15, 4x-y=-19 what is the solution by combining equations

Answers

-3x+4=15
-3x=15-4
-3x=11
x= -11/3

4(-11/3)-y= -19
-44/3-y= -19
-y= -19+44/3 multiply by (-1)
y=19-44/3
y=19•3/3-44/3
y=57/3-44/3
y=13/3

(x,y)=(-11/3, 13/3)



On a coordinate plane, point A is 10 units up and 7 units to the right.
What are the coordinates of A?

Answers

Answer:

y=7x-10

Step-by-step explanation:

a would-be a y coordinate

Answer:

Y=7X-10

Step-by-step explanation:

plz help will give wut i got (as in points)
Temperature in the desert can be modeled by the function C(t), where t represents hours after midnight (0 ≤ t ≤ 24), and C is the temperature measured in degrees Celsius. Examine what happens to the graph when you transform the function to degrees Fahrenheit.
Circle the desert you picked:

Sahara Desert Patagonian Desert Death Valley California

Exploring Degrees Celsius
1. Fill out the following chart to find the temperatures for t = 12 (noon) and t = 24 (midnight). (2 points: 1 point for each row)
t C(t) = –0.30(t – 12)2 + 40
0
12




24




2. Plot the three points from the chart onto the graph below. Use the plotted points to sketch the graph of C(t) = –0.30(t – 12)2 + 40. (3 points: 2 points for correct coordinates, 1 point for correct shape)

Convert the Function to Degrees Fahrenheit:
3. Suppose you want to represent the desert temperature in degrees Fahrenheit instead. How would you transform the function C(t) to make the new function, F(t)? (2 points: 1 point for each transformation)
Note: The conversion rule for Celsius to Fahrenheit is .






4. Take your values from the previous chart (in question 2) and convert them from Celsius to Fahrenheit. Follow the example below, and use the conversion rule to fill out the chart for degrees Fahrenheit when t = 12 and t = 24. (2 points: 1 point for each row)
t
0
12






24






5. Use the conversion formula to write the equation for the new function, F(t).
(4 points: 2 points for setting up the equation, 2 points for the answer)
Hint: Substitute the equation for C(t) into .












6. Plot the points from the Fahrenheit chart in question 4 onto the graph below. Use the plotted points to sketch out the graph of F(t). (3 points: 2 points for correct coordinates, 1 point for correct shape)

7. Compare the graph in question 6 (F(t)) with the graph in question 2 (C(t)). What changes were made to the graph of C(t) to transform it to F(t)? (1 point)

Answers

Answer:

Part 1

Given equation:

C(t) = -0.30 (t – 12)² + 40  

For t = 0

C(t) = -0.30 (0 - 12)² + 40 C(t) = -0.30 (-12)² + 40 C(t) = -3.2

For t = 12 (noon)

C(t) = -0.30 (12 - 12)² + 40 C(t) = -0.30 (0)² + 40 C(t) = 40

For t = 24 (midnight)

C(t) = -0.30 (24 - 12)² + 40 C(t) = -0.30 (12)² + 40 C(t) = -0.30 × 144 + 40 C(t) = - 43.2 + 40 C(t) = -3.2

Part 2

attached below

Part 3

C(t) = –0.30(t – 12)² + 40 F(t)=9/5C(t)+32

Substituting the values:

F(t)=9/5{–0.30 (t – 12)² + 40}+32 F(t) = -0.54 (t – 12)² + 72 + 32 F(t) = -0.54 (t – 12)² + 104

5, 6 and 7, should be simplish

good luck, i hope this helps :)

Answer:

problems 4,5,6,7  (make sure you add °C to the answers given in step one above)   *note, these answers given in both answers could be used for any of the deserts chosen, they all have the same formula given.

Step-by-step explanation:

4) box 12

(12,40)

f(12)= 9/5 (40)+ 32

f(12)= 72 +32

f(12)= 104 ° F

box 24

(24, -3.2)

f(24)= 9/5 (-3.2) +32

f(24) = -5.76 +32

f(24)= 26.24 °F

5.

substitute the given C(t) equation into the conversion formula

F(t)= 9/5C(t)+32.

We know from the information given that C(t)=−0.30(t−12)^2 +32

to solve:

F(t)= 9/5[−0.30(t−12)^2+40]+32

F(t)=1.8(−0.3t^2+7.2t−3.2)+32

F(t)=−0.54t^2+12.96t−5.76+32

F(t)=−0.54t^2+12.96t+26.24

6.

on the graph plot the three points  (0,-0.32), (12,104), (24,-0.32)

It draw the lines to connect the bottom two points to 12, 104, It should look like  upside down V but curved softer like the graph in answer number 2.

7.  The changes made to the graph of C(t) to transform it to F(t) was changing the noon temperature (plot point) from 40° C to 104° F.  It increased the steepness of the graph.

find the solution for the following equation using the algebraic method: 3x^2+10x=8

Answers

The answer should be 0.875.

Simplify (1+3)2-10÷2
what the solution?

Answers

Answer:

3

Step-by-step explanation:

(1+3)2-10÷2

1+3=4

4x2=8

10÷2=-5

8-5=3

Plzzz help I don’t understandddddd

Answers

Answer:

k = -10.5

Step-by-step explanation:

k + 7.5 = -13

Subtract 7.5 from both sides

k + 7.5 - 7.5 = -13 - 7.5

            k = -20.5

someone pls help! mathematics.

bot answers/nonsense = reported
----------------

The formula for any geometric sequence is an = a1 · rn - 1 , where an represents the value of the n th term, a1 represents the value of the first term, r represents the common ratio, and n represents the term number. What is the formula for the geometric sequence 4, 8, 16, 32, ...?

an = 4 · ( ) n - 1
an = 2 · 4 n - 1
an = 32 · 2 n - 1
an = 4 · 2 n - 1

Answers

Answer:

a(n) = 4*(2)^(n - 1)

Step-by-step explanation:

The correct version of this formula is a(n) = a(1)*r^(n - 1).  Must use the " ^ " symbol to indicate exponentiation, and enclose the "n - 1" inside parentheses.

Here, if 4, 8, 16, 32, ..., then a(1) = 4 and r = 2 (e. g., 16/8 = 2, 32/2 = 16, and so on).

Then the correct formula for this geometric sequence is

a(n) = 4*(2)^(n - 1), where use of the parentheses as indicated is mandatory.

Answer:

a(n) = 4*(2)^(n - 1)

Step-by-step explanation:

The correct version of this formula is a(n) = a(1)*r^(n - 1).  Must use the " ^ " symbol to indicate exponentiation, and enclose the "n - 1" inside parentheses.

Here, if 4, 8, 16, 32, ..., then a(1) = 4 and r = 2 (e. g., 16/8 = 2, 32/2 = 16, and so on).

Then the correct formula for this geometric sequence is

a(n) = 4*(2)^(n - 1), where use of the parentheses as indicated is mandatory.

How many halves are equivalent to 4/8

Answers

Answer:

2 :  2/4 and 1/4

Step-by-step explanation:

4/8 can be simplified to 2/4 and then 1/4

Help please I will give you the brainliest

Answers

Answer:

well option D will be your answer

Step-by-step explanation:

hope it helps you

have a great day

Our basketball team won 60 per cent of their games. If they lost 8 games, how many
games did they play altogether?
O 10
O 12
O 16
O 20
o none of these

Answers

i think it wound be 20

The low temperatures on New Year's Day in a city for 5 years are shown below.
2°F, -10°F, 7°F, 4°F, -13°F
Part A
What was the average low temperature on New Year's Day for the 5 years?
A. -2.5°F
C. 0.6°F
B. -2°F
D. 4°F
Part B
If, in the 6th year, the low temperature was 7°F, what was the average low temperature for the 6
years?
A. -0.5°F
C. 0.8°F
B. -0.2°F
D. 1.4°F

Answers

Part A.
Answer: B.-2°F

Part B.
Answer: A. -0.5°F

Answer:

Part A - B. -2F

Part B - A. -0.5F

Step-by-step explanation:

Part A. -

2 + -10 + 7 + 4 + -13 = -10

-10 / 5 = -2

Part B. -

-10 + 7 = -3

-3 / 6 = -0.5

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