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2 years ago

Study the stem-and-leaf plot. How many cars get 8 miles per gallon?

Mathematics

1 answer:

RUDIKE [14]2 years ago

7 0

Answer:

answer is O

Step-by-step explanation:

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Please help! really needing help solve the problem

guapka [62]

Answer:

Step-by-step explanation:

By Basic proportionality theorem:

$\frac{10}{8} = \frac{3x - 6}{12} \\ \\ \frac{10 \times 12}{8} = 3x - 6 \\ \\ \frac{120}{8} = 3x - 6 \\ \\ 15 = 3x - 6 \\ 15 + 6 = 3x \\ 21 = 3x \\ \frac{21}{3} = x \\ 7 = x \\ \\ \huge \red { \boxed{x = 7}}$

7 0

2 years ago

Pension = 12% of salary

nadya68 [22]

Answer:

Salary = $43,313.40

Step-by-step explanation:

Let his salary be x.

Now we're told that;

Pension = 12% of his salary = 0.12x

Health Insurance = 0.3% of salary = 0.003x

Disability Insurance = 0.4% of salary = 0.004x

Since his total contract with benefits is worth $48,814.20

This means that;

x + 0.12x + 0.003x + 0.004x = 48814.2

1.127x = 48814.2

x = 48814.2/1.127

x = $43,313.40

7 0

2 years ago

Convert the fraction 1/3 into a repeating decimal

den301095 [7]

Answer:

0.33 with the bar on top

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Which of the values shown are potential roots of f(x) = 3x3 – 13x2 – 3x + 45? Select all that apply.

galina1969 [7]

Answer:

All potential roots are 3,3 and $-\frac{5}{3}$ .

Step-by-step explanation:

Potential roots of the polynomial is all possible roots of f(x).

$f(x)=3x^3-13x^2-3x+45$

Using rational root theorem test. We will find all the possible or potential roots of the polynomial.

p=All the positive/negative factors of 45

q=All the positive/negative factors of 3

$p=\pm 1,\pm 3,\pm 5\pm \pm 9,\pm 15\pm 45$

$q=\pm 1,\pm 3$

All possible roots

$\frac{p}{q}=\pm 1,\pm 3,\pm 5\pm \pm 9,\pm 15\pm 45,\pm \frac{1}{3},\pm \frac{5}{3}$

Now we check each rational root and see which are possible roots for given function.

$f(1)= 3\times 1^3-13\times 1^2-3\times 1+45\Rightarrow 32\neq 0$

$f(-1)= 3\times (-1)^3-13\times (-1)^2-3\times (-1)+45\Rightarrow \neq 32$

$f(-3)= 3\times (-3)^3-13\times (-3)^2-3\times (-3)+45\Rightarrow \neq -144$

$f(3)= 3\times (3)^3-13\times (3)^2-3\times (3)+45\Rightarrow =0\\\\ \therefore x=3\text{ Potential roots of function}$

Similarly, we will check for all value of p/q and we get

$f(-5/3)=0$

Thus, All potential roots are 3,3 and $-\frac{5}{3}$ .

5 0

2 years ago

Read 2 more answers

A 12 ounce can of store brand tomato paste costs $1.46 at a supermarket. The unit price of the sauce is listed on the shelf belo

kykrilka [37]

You can calculate it by divided but most of the people get confused about is it gonna be 12/1.46 or 1.46/12. The correct is 1.46/12 because take the money divided all 12 to get a unit price if you take 12/1.46 which mean divided all ounce can to money and that makes nonsense.

So 1.46/12 = $0.12 for each ounce can

Hope this help!

4 0

2 years ago