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2 years ago

In April, The Kazbaas drove 760 miles in their tour van.

Mathematics

1 answer:

DedPeter [7]2 years ago

5 0

9514 1404 393

Answer:

£135.98

Step-by-step explanation:

$(760\text{ mi})\dfrac{1\text{ gal}}{29.5\text{ mi}}\cdot\dfrac{4.55\text{ L}}{1\text{ gal}}\cdot\dfrac{\pounds1.16}{1\text{ L}}=\dfrac{760\cdot4.55\cdot\pounds1.16}{29.5}\\\\=\boxed{\pounds135.98}$

It cost £135.98 for petrol in April.

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Which expression has the same GCF as 15x2 - 21x?

Mice21 [21]

Answer:

$15x^2 +21 x$

Step-by-step explanation:

We have the following expression:

$15x^2 -21 x$

We can find the GCF with the following steps.

1. Find the GCF for the numerical part 15 and -21

The factors for 15 are : 1,3,5,15

The factors for -21 are -21,-7,-3,-1,1,3,7,21

And the common factors are 1,3

The GCF for the numerical part is 3*1 = 3

2. Find the GCF for the variable

The factors of x^2 are : x*x

The factors of x are: x

The common factors are x for this case, so then the GCF for the variable part is x

3. Multiply the two results from steps 1 and 2

GCf= 3*x = 3x

If we consider the new expression:

$15x^2 +21x$

We can find the GCF with the following steps.

1. Find the GCF for the numerical part 15 and -21

The factors for 15 are : 1,3,5,15

The factors for -21 are 1,3,7,21

And the common factors are 1,3

The GCF for the numerical part is 3*1 = 3

2. Find the GCF for the variable

The factors of x^2 are : x*x

The factors of x are: x

The common factors are x for this case, so then the GCF for the variable part is x

3. Multiply the two results from steps 1 and 2

GCf= 3*x = 3x

And as we can see both GCF are equal. So then we satisfy the condition required.

5 0

2 years ago

Read 2 more answers

The rectangular prism has a volume of 936 cubic inches. Write and solve an equation to find the missing dimension of the prism.

nikdorinn [45]

Step-by-step explanation:

A rectangular prism is nothing but a cuboid. Let the length , width and height of the rectangular prism be l, w and h.

We know that volume of a cuboid V = l×w×h

So, l×w×h = 936

So, we can find any dimension of the prism provided the the other two dimensions are given to us.

4 0

3 years ago

Please help show work?

Romashka-Z-Leto [24]

Oh I get this.
So what you have to do is leave the same denominator and just count. Once a fraction has the same numerator and denominator that means it is a whole number.

5 0

2 years ago

Read 2 more answers

If 16 c = 1 gal, then 1 1/4 gal =how many cups

vodka [1.7K]

Answer:

20 cups

Step-by-step explanation:

16 cups divided by 4 is 4 so 16 plus 4 gets you 20 cups.

6 0

2 years ago

Alicia has 3 1/6 yards of fabric. After making a tablecloth, she had 1 4/6 yards of fabric. Alicia said she used 2 3/6 yards of

Katarina [22]

An easier way to do this is to make the fractions improper fractions.
3 1/6 can be rewritten as 19/6. 1 4/6 can be rewritten as 10/6. (Multiply the denominator by the number at its side, and add it to the numerator).
2 3/6 is 15/6.
Subtract 10/6 from 19/6.
19/6-10/6=9/6.
9/6 is not 15/6, therefore she did not use 2 3/6 yards of fabric.

3 0

2 years ago

Read 2 more answers