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Sergeeva-Olga [200]
3 years ago
10

A rectangle is 14 inches long and 4 inches wide. A smaller, similar rectangle is 2 inches wide. To the nearest inch, what is the

length of the smaller rectangle? A. 3 1/2 in. B. 7 in. C. 8 in. D. 18 in. Please include ALL work!
Mathematics
1 answer:
const2013 [10]3 years ago
8 0

Answer:

7 inches

Step-by-step explanation:

The ratio of width to length of the known rectangle is 4 : 14 and this simplifies to 2 : 7.

The smaller similar rectangle will have the same ratio of 2 :7.

This can also be looked at another way. The second value in the ratio is 7/2 of the first value in the ratio and the first value is 2/7 of the second value.

Example:

7/2 * 2 = 7

Example:

2/7 * 7 = 2

You might be interested in
2.5(12.75x + 24.50) = 188.75
mrs_skeptik [129]

Answer:

Step-by-step explanation:

First, in order to get rid of the parenthesis, you need to multiply 2.5 with whatever is in the parenthesis.

Multiply 2.5 on each side of the equation like this:

(12.75 x 2.5) (24.50 x 2.5) =188.75

Once you're finished, you should get 61.25 and 31.875x =188.75

Now in order to find 'x' you will need to subtract 61.25 to each side of the equation like this:

61.25 - 61.25 = 0

188.75 - 61.25 = 127.5

So now your equation should look like this:

31.875x = 127.5

You have to divide 31.875 by each side now.

Once you divide them, your final answer should be 4.

so x = 4.

I really hope this helps! ^^

5 0
2 years ago
Read 2 more answers
The equation y = \large 1\frac{1}{2}x represents the number of cups of dried fruit, y, needed to make x pounds of granola. Deter
Natasha2012 [34]

Answer:

(1\frac{1}{2},1) - False

(4,6) - True

(18,12) -- False

(0,0) -- True

(2\frac{1}{2},3\frac{3}{4}) -- True

Step-by-step explanation:

The points are

(1\frac{1}{2},1) , (4,6), (18,12), (0,0) and (2\frac{1}{2},3\frac{3}{4}) ---- missing from the question

Given

y = 1\frac{1}{2}x

Required

Determine if each of the points would be on y = 1\frac{1}{2}x

To do this, we simply substitute the value of x and of each point in y = 1\frac{1}{2}x.

(a) (1\frac{1}{2},1)

In this case;

x = 1\frac{1}{2} and y = 1

y = 1\frac{1}{2}x becomes

y = 1\frac{1}{2} * 1\frac{1}{2}

y = \frac{3}{2} * \frac{3}{2}

y = \frac{9}{4}

y = 2\frac{1}{4}

<em>The point </em>(1\frac{1}{2},1)<em>  won't be on the graph because the corresponding value of y for </em>x = 1\frac{1}{2}<em> is </em>y = 2\frac{1}{4}<em></em>

(b) (4,6)

In this case;

x = 4

y = 6

y = 1\frac{1}{2}x becomes

y = 1\frac{1}{2} * 4

y = \frac{3}{2} * 4

y = \frac{3* 4}{2}

y = \frac{12}{2}

y = 6

<em>The point </em>(4,6)<em>  would be on the graph because the corresponding value of y for </em>x = 4 is y = 6

(c) (18,12)

In this case:

x = 18;y = 12

y = 1\frac{1}{2}x becomes

y = 1\frac{1}{2} * 18

y = \frac{3}{2} * 18

y = \frac{3* 18}{2}

y = \frac{54}{2}

y = 27

<em>The point </em>(18,12)<em>  wouldn't be on the graph because the corresponding value of y for </em>x = 18<em> is </em>y = 12<em></em>

(d) (0,0)

In this case;

x =0; y = 0

y = 1\frac{1}{2}x becomes

y = 1\frac{1}{2} * 0

y = 0

<em>The point </em>(0,0)<em>  would be on the graph because the corresponding value of y for </em>x = 0 is y = 0

(e) (2\frac{1}{2},3\frac{3}{4})

In this case:

x = 2\frac{1}{2}; y = 3\frac{3}{4}

y = 1\frac{1}{2}x becomes

y = 1\frac{1}{2} * 2\frac{1}{2}

y = \frac{3}{2} * \frac{5}{2}

y = \frac{15}{4}

y = 3\frac{3}{4}

<em>The point </em>(2\frac{1}{2},3\frac{3}{4}) <em>  would be on the graph because the corresponding value of y for </em>x = 2\frac{1}{2} is y = 3\frac{3}{4}

3 0
2 years ago
Find the total area for the regular pyramid.<br><br><br><br> T. A. =
Allisa [31]
The total area is:
 A = Ab + Al
 Where,
 Ab: base area
 Al: lateral area
 We have then:
 For the base area:
 Ab = (2) * (2)
 Ab = 4 units ^ 2
 For the lateral area:
 Al = (4) * (1/2) * (2) * (root ((1) ^ 2 + (3) ^ 2))
 Al = (4) * (root (1 + 9))
 Al = 4raiz (10) units ^ 2
 Total area:
 A = 4 + 4raiz (10)
 Answer:
 
A = 4 + 4raiz (10)
7 0
3 years ago
Read 2 more answers
Find the values of the missing sides in the parallelogram given.
natta225 [31]

Given:

m∠B = 44°

Let's find the following measures:

m∠A, m∠BCD, m∠CDE

We have:

• m∠A:

Angle A and Angle B are interior angles on same side of a transversal.

The interior angles are supplementary.

Supplementary angles sum up to 180 degrees

Therefore, we have:

m∠A + m∠B = 180

m∠A + 44 = 180

Subtract 44 from both sides:

m∠A + 44 - 44 = 180 - 44

m∠A = 136°

• m,∠,BCD:

m∠BCD = m∠A

Thus, we have:

m∠BCD = 136°

• m∠CDE:

Angle C and angle CDE form a linear pair.

Linear pair of angles are supplementary and supplementary angle sum up to 180 degrees.

Thus, we have:

m∠D = m∠B

m∠D = 44°

m∠CDE + m∠D = 180

m∠CDE + 44 = 180

Subract 44 from both sides:

m∠CDE + 44 - 44 = 180 - 44

m∠CDE = 136°

ANSWER:

• m∠A = 136°

,

•

,

• m∠BCD = 136°

,

•

,

• m∠CDE = 136°

6 0
1 year ago
Solve.
lions [1.4K]

Answer:

b=9,a=12

Step-by-step explanation:

I solved by substitution:

b = 3/4a  ---> plug this into the other equation

a + b = 21   is now    a + 3/4a = 21

Reduce: 7/4a = 21

a = 12

Now solve for b:

b=3/4a is now b=3/4(12)

b=9

6 0
3 years ago
Read 2 more answers
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