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quester [9]
3 years ago
9

The map above is being reduced by a scale factor of 1/3 and printed at the subway station. How many square inches will the new m

ap take up?
new height = 24 inches
new length = 15 inches
Mathematics
2 answers:
guajiro [1.7K]3 years ago
7 0
360 square inches square by square steps with the calculator
Bezzdna [24]3 years ago
4 0

Answer: 360 square inches

Step-by-step explanation: calculate area by multiplying length by height

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I need help pleaseeee
Lostsunrise [7]

Answer:A

Step-by-step explanation:

8 0
3 years ago
Suppose you're making a soup that uses 5 cups of chicken broth and 3⁄4 teaspoons of corn starch for 8 servings. You need to make
yanalaym [24]

Answer:

Option A = 7.5 cups

Step-by-step explanation:

Given : Suppose you're making a soup that uses 5 cups of chicken broth and \frac{3}{4} teaspoons of corn starch for 8 servings. You need to make 12 servings of the soup, so you'll need 1\frac{1}{8} teaspoons of corn starch.

To find : How much broth do you need?

Solution :

A soup that uses 5 cups of chicken broth and \frac{3}{4} teaspoons of corn starch for 8 servings.

i.e. 5 cups + \frac{3}{4} teaspoon = 8 servings  ......(1)

You need to make 12 servings of the soup, so you'll need 1\frac{1}{8}=\frac{9}{8}

i.e. x cups +\frac{9}{8} teaspoon = 12 servings  ........(2)

So, First we find the ratio

Ratio is \frac{12}{8}=\frac{3}{2}

So to equal the ratio multiply (1) by \frac{3}{2}

5\times \frac{3}{2}cups + \frac{3}{4}\times \frac{3}{2} teaspoon = 8\times \frac{3}{2} servings

\frac{15}{2}cups + \frac{9}{8} teaspoon = 12 servings

On comparing with (2),

The value of x is \frac{15}{2}.

Therefore, The broth do we need is \frac{15}{2}=7.5 cups.

So, Option A is correct.

5 0
3 years ago
A 9,000-lb load is suspended from the roof in a shopping mall with a 16-ft-long solid aluminum rod. The modulus of elasticity of
Westkost [7]

Answer:

Step-by-step explanation:

Given:

elongation, x = 0.50 in

Force, f = 9000 lb

Young modulus, E = 10,000,000 psi

Maximum Stress, Sm = 30000 psi

Length, L = 16 ft

Converting ft to in,

12 in = 1 ft

=16 × 12 = 192 in

Young modulus, E = stress/strain

Stress = force/area, A

Strain = elongation, x/Length, L

E = f × L/A × E

1 × 10^7 = stress/(0.5/16)

= 26041.7 psi

Minimum stress = 26041.7 psi

Maximum stress = 30,000 psi

Stress = force/area

Area = 9000/26041.7

= 0.3456 in^2

Stress = force/area

Area = 9000/30000

= 0.3 in^2

Using minimum area of 0.3 in^2,

A = (pi/4)(d^2)

0.3 in^2 = (pi/4)(d^2)

d = 0.618 inches

diameter, d = 0.618 inches

7 0
3 years ago
Eric drove 804 miles in 12 hours. At the same rate, how many miles would he drive in 8 hours?
dezoksy [38]
537 miles..........................
6 0
3 years ago
Read 2 more answers
What is <br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B7%7D%20%20%3D%20%20%5Cfrac%7B4%7D%7B5%7D%20" id="TexFormula1"
frosja888 [35]

Multply both sides of the equation by 7.

\dfrac{x}{7}\cdot 7=\dfrac{4}{5}\cdot 7\\\\x=\dfrac{28}{5}=5.6

_____

When the variable is in the numerator of a proportion like this, you can solve it by multiplying by that denominator. That multiplication cancels the denominator and gives you the value of the variable.

In general, you multiply by the reciprocal of the coefficient of x. When that coefficient is 1/7, you multiply by 7/1. Of course, you know that 7/7 = 1 and that x/1 = x.

7 0
3 years ago
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