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3 years ago

5

Seven students cut 5 and three-fourths inches of thread from a spool for a school project. What number represents the change in

the amount of the thread on the spool?

2 answers:

dalvyx [7]3 years ago

4 0

Answer:

-40 1/4

Step-by-step explanation:

erik [133]3 years ago

3 0

Answer: -40 1/4

Step-by-step explanation:

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34 divided by 17 equal Unknown over 7

expeople1 [14]

34÷17 would result in 2

4 0

3 years ago

H^-16/h^x=1/h^24 can someone help me please

Basile [38]

Given:

Consider the equation is

$\dfrac{h^{16}}{h^x}=\dfrac{1}{h^{24}}$

To find:

The value of x.

Solution:

We have,

$\dfrac{h^{-16}}{h^x}=\dfrac{1}{h^{24}}$

Using properties of exponents, we get

$h^{-16-x}=h^{-24}$ $[\because \dfrac{a^m}{a^n}=a^{m-n},a^{-n}=\dfrac{1}{a^n}]$

On comparing both sides, we get

$-16-x=-24$

Add 16 on both sides.

$-x=-24+16$

$-x=-8$

Multiply both sides by -1.

$x=8$

Therefore, the value of x is 8.

5 0

3 years ago

What is the greatest common factor of 44c^5, 22c^3 and 11c^4

Alexxandr [17]

$\text{ GCF of } 44c^5, 22c^3 , 11c^4 \text{ is } 11c^3$

<em><u>Solution:</u></em>

Given that, we have to find the greatest common factor of $44c^5, 22c^3 , 11c^4$

The greatest number that is a factor of two (or more) other numbers.

When we find all the factors of two or more numbers, and some factors are the same ("common"), then the largest of those common factors is the Greatest Common Factor

$\underline{\text{ GCF of } 44c^5, 22c^3 , 11c^4 :}$

First find the GCF of numbers and then find the GCF of variables and then multiply them together

<em><u>Step 1: GCF of 44, 22 and 11</u></em>

The factors of 11 are: 1, 11

The factors of 22 are: 1, 2, 11, 22

The factors of 44 are: 1, 2, 4, 11, 22, 44

11 is the greatest factor that is common in above three list

Then the greatest common factor is 11

$\text{ Step 2: GCF of }c^5, c^3 , c^4$

$c^5 = c^3 \times c^2\\\\c^3 = c^2 \times c^1 \text{ or } c^3\\\\c^4 = c^3 \times c^1$

Thus the greatest common factor is $c^3$

Step 3: Multiply the GCF of 44, 22, 11 and GCF of $c^5, c^3 , c^4$

$\text{ GCF of } 44c^5, 22c^3 , 11c^4 = 11 \times c^3 = 11c^3$

Thus $\text{ GCF of } 44c^5, 22c^3 , 11c^4 \text{ is } 11c^3$

8 0

3 years ago

Select the correct answer from the drop-down menu.

Mice21 [21]

The rectangular prism has a volume of, 1/4 cubic meter.

5 0

3 years ago

Read 2 more answers

PLEASE HELP WITH ALGEBRA AND SHOW WORK :) an explanation would be nice too because this topic confuses me :/

fgiga [73]

A.

$f(t) = t^2 + 4t-14\\ f(t)=t^2+4t+4-18\\ f(t)=(t+2)^2-18$

B.

$f(x)=(x-h)^2+k \Rightarrow \text{vertex}=(h,k)\\\\ f(t)=(t+2)^2-18 \Rightarrow \text{vertex}=(-2,-18)$

It's a minimum, becuase $a=1>0$ .

C.

The axis of symmetry is $x=h$ . So, in this case, it's $x=-2$ .

6 0

4 years ago