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2 years ago

You are creating a model of a bookcase for a dollhouse.

Mathematics

1 answer:

Goshia [24]2 years ago

6 0

Answer:

If the model is 3 inches tall, the model bookcase should be <em>2 inches</em> wide.

Step-by-step explanation:

When using similar figures, set up a proportion of the model measurements to the actual measurements:

$\frac{3}{48}=\frac{x}{32}$

Then cross multiply and solve for x:

$48x=96\\x=\frac{96}{48}\\x=2$

If this helped, a brainliest would be greatly appreciated!

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the function g(t) = 2t represents the number of guitar lessons, g(t), you can complete in t months. how many guitar lessons can

Cloud [144]

T=months so if you have 7 months you would plug 7 in for (t)
making the equation g(7) = 2(7)

5 0

3 years ago

Question 11 of 20 : Select the best answer for the question. 11. Find the value of x in the equation 2(x – 3) + 5x = 5(2x + 6).

ivolga24 [154]

<span>To answer this question, you need to know the rules to move a number to the left or right side of the equal sign. To solve this, you need to move all the x into one side, and then move the number into another side. The calculation would look like this:

2(x – 3) + 5x = 5(2x + 6)
2x -6 +5x = 10x +30
2x+ 5x - 10x = 30 +6
-3x= 36
x= 36/-3= -12</span>

7 0

3 years ago

Read 2 more answers

5. Bobby guessed there were 92 jelly beans in a jar. There were actually 107 2 points

skelet666 [1.2K]

Answer: 14%

Step-by-step explanation:

From the question, we are informed that Bobby guessed there were 92 jelly beans in a jar when there were actually 107. The percentage error will be:

= Difference in error / Actual value × 100

= (107 - 92) / 107 × 100

= 15/107 × 100

= 0.14 × 100

= 14%

6 0

2 years ago

Find the equation of the exponential function represented by the table below

Softa [21]

Answer:

$y=4(4)^x$

Step-by-step explanation:

Exponential functions are represented in the form $y=a(b)^x$ , where a is the initial value and b is the multiplier.

Here, we see that when x = 0, y = 4. This means that 4 is our initial value, or a. You can look at the a variable almost being like the y-intercept of a graph.

Next, we must solve for b. We can do 16 ÷ 4 to find the slope, or multiplier of this function, because 16 is 1 input x-value up from 0. 16 ÷ 4 = 4.

So, we now have all the needed variables, so we plug them into the formula

$y=a(b)^x$

8 0

2 years ago

It’s the same distance from the second base to the first base from the second base to third-base the angle formed by the first b

Margaret [11]

Answer:

Distance of home plate to 1st base is equal to home plate to 3rd base

Step-by-step explanation:

Let's first assign each position:

A: home base

B: 1st base

C: 2nd base

D: 3rd base

The information given:

'It’s the same distance from the second base to the first base from the second base to third-base' tells us BC = CD

'the angle formed by the first base second base and Homeplate has the same measure as the angle formed by the base second base home plate' tells us angle(BCA) = angle(DCA)

Check for congruency between triangle ABC and ADC

BC = CD - side congruency (S)

angle(BCA) = angle(DCA) - angle congruency (A)

CA = CA - side congruency (S)

So triangle ABC and ADC fullfill the criteria of congruence property as SAS.

Since both triangle are congruent, another side of the triangles AB and AD must be the same too.

AB = home plate to 1st base

AD = home plate to 3rd base

Therefore we can conclude that the distance of home plate to 1st base is equal to home plate to 3rd base

3 0

3 years ago