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Allushta [10]
3 years ago
6

How many yards long is a piece of fabric witha width of 5/8 yrd nd a area of 2 3/4 square yards?

Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
5 0

Answer:

D. 4\frac{2}{5}

Step-by-step explanation:

Area of fabrics = 2¾ square yards

Width of fabrics = ⅝ yard

Length of fabrics = x

Area = length * width

Therefore:

2¾ = ⅝*x

Change the mixed fraction to improper fraction

\frac{11}{4} = \frac{5x}{8}

Cross multiply

4*5x = 11*8

20x = 88

Divide both sides by 20

\frac{20x}{20} = \frac{88}{20}

x = \frac{22}{5}

x = 4\frac{2}{5}

length = 4\frac{2}{5}

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5x + 3(2x -1) = 3x -14 solve it
Umnica [9.8K]

Answer:

x=-11/8

Step-by-step explanation:

First use the Distributive property on [3(2x-1)]:

5x+6x-3=3x-14

Now combine alike terms:

11x-3=3x-14

Now add three to both sides:

11x=3x-11

Now subtract 3x from both sides:

8x=-11

Now divide both sides by 8:

x=-11/8

This fraction cannot be simplified meaning your final answer SHOULD be -11/8

3 0
3 years ago
Read 2 more answers
Which equation matches the sentence? Column A Column B
ioda
I will put an equation to the corresponding number.

1) Seven more than 2 times a number is 23 => 2n + 7 = 23
2) The difference of 2 times a number and 7 is 23 => 2n - 7 = 23
3) The sum of 7 times a number and 2 is 23 => 7n + 2 = 23
4) Seven less than 2 times a number is 23 => 2n - 7 = 23

Based on the choices. The equation that matches sentences 2 & 4 is letter b. 2n - 7 = 23

Though both sentences are structured differently and used different terms, they both refer to subtraction of 7 from the product of 2 and n to get the difference of 23.
5 0
4 years ago
The degree of the polynomial function f(x) is 4 The roots of the equation f(x)=0 are -4,-1, 2 and 5 Which graph could be the gra
Sauron [17]

If the roots of the equation f(x)=0 are -4,-1, 2 and 5, then binomials (x+4), (x+1), (x-2) and (x-5) are factors of needed polynomial.

Thus, the polynomial will have form

f(x)=a(x+4)(x+1)(x-2)(x-5), where a is real coefficient (positive or negative). This polynomial has degree 4 as needed.

The form of the graph depends on the sign of coefficient a. Attached diagrams show two different cases of possible forms of graphs (first one for positive coefficient a, second one for negative coefficient a).

4 0
3 years ago
The high school graduating class of 2010 was 260 people. Five years later the high school graduating class was 320 people. By ap
jeka94

Answer:

The high school graduating class changed by approximately 23%

Step-by-step explanation:

we have

The high school graduating class of 2010 was 260 people

Five years later the high school graduating class was 320 people.

we know that

260 people represent the 100%

so

The difference is (320-260)=60 people

using proportion

Find out what percentage represent 60 people

Let

x ----> the percentage that represent 60 people

\frac{260}{100\%}=\frac{60}{x}\\\\x= 100\%(60)/260\\\\x=23.1\%

therefore

The high school graduating class changed by approximately 23%

3 0
3 years ago
Please help me out and help me show work ??
DochEvi [55]

Answer:

23 is the smallest number

Step-by-step explanation:

Three consecutive numbers are numbers that come in a row. So if the first number is n then the next is n+1 and the following is n+2.

All together they add to 72.

So n + n+1 +n +2 = 72.

3n + 3 = 72

3n = 69

n = 23

8 0
3 years ago
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