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2 years ago

Margaret drives 188 miles with 8 gallons of gas. Find the unit rate

1 answer:

7 0

The unit rate will be "23.5 miles/gallon". In the below segment, a further solution to the given question is provided.

Given values in the question are:

Total distance,

= 188 miles

Total gas used,

= 8

Now,

⇒ The rate of gas consumption will be:

= $\frac{Total \ distance}{Total \ gas \ used}$

By putting the given values in the above formula, we get

= $\frac{188}{8}$

= $23.5 \ miles/gallon$

Thus the above is the appropriate solution.

Learn more about gas consumption here:

brainly.com/question/17321062

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F(x)=|3x+5|+6<br> g(x)=7<br> find (f+g) (x).

horrorfan [7]

Answer:

$(f+g) (x)=\mid 3x+5\mid+13$

Step-by-step explanation:

<u>Operation of Functions</u>

Given:

$f(x)=\mid 3x+5\mid+6$

$g(x)=7$

The sum of (f+g) (x) is:

$(f+g) (x)=\mid 3x+5\mid+6+7$

We cannot operate with the expression inside the absolute bars, thus:

$\boxed{(f+g) (x)=\mid 3x+5\mid+13}$

8 0

3 years ago

Colin invests £2350 into a savings account. The bank gives 4.2% compound

marin [14]

Answer:

Answer:

£3692

Step-by-step explanation:

A = p(1 + r/n)^nt

Where,

A = future value

P = principal = £2350

r = interest rate = 4.2% = 0.042

n = number of periods = 1(annual)

t = time = 4 years

A = p(1 + r/n)^nt

= 2350(1 + 0.042/1)^1*4

= 2350(1 + 0.042)^4

= 2350(1.042)^4

= 2350(1.5789)

= 2770.42

A = £2770.42

Total years = 10

Remaining years = 10 – 4

= 6 years

Remaining 6 years

P = £2770.42

r = 4.9% = 0.049

n = 1

t = 6

A = p(1 + r/n)^nt

= 2770.42(1 + 0.049/1)^1*6

= 2770.42(1 + 0.049)^6

= 2770.42(1.049)^6

= 2770.42(1.3325)

= 3691.59

A = £3691.59

Approximately £3692

Thank you!

5 0

2 years ago

It don’t make no sense

Soloha48 [4]

Yes it does not, i want my free points

6 0

2 years ago

An amusement park has discovered that the brace that provides stability to the ferris

antiseptic1488 [7]

Answer:

Hence the correct answer is option (A) 4.708.

Step-by-step explanation:

Solution:-

Now, we need to find the angle of the sector by using sector formula,

$A = 28.25 ft^{2} \\r = 12ft.\\\\28.25 = \frac{\theta}{360^{o} } \times \pi \times 12^{2} \\\\\theta=\frac{28.25\times 360}{12 \times12 \times \pi} \\\\\theta =( \frac{70.625}{\\pi} )^{o}$

We now convert the angle to radian

$\theta = \frac{70.625}{\pi} \times \frac{\pi}{180}\\\\\theta = 0.39236 radian$

Now we calculate the length of arc by arc formula

$\theta=\frac{I}{12} \\\\0.39236 =\frac{I}{12}\\\\I = 4.708 feet.$

So, The length of steel that must be replaced is 4.708 ft.

4 0

3 years ago

How do solve this problem 2/3 (2/8 + 4/8) =

scoundrel [369]

Answer:

1/2

Step-by-step explanation:

2/3 (2/8 + 4/8) =

First simplify what is inside the parentheses

2/8+4/8 = 6/8

Replace with 6/8

2/3 (6/8) =

Then multiply

2*6 =12

3*8 = 24

12/24

Divide top and bottom by 12

1/2

6 0

3 years ago

Read 2 more answers