A student could run 2 miles. After extensive training, the student could run five times as far as she could before the training. How far can the student run now?

Answer:

He spent ⅓ of the time on the remaining three questions.

Step-by-step explanation:

Let's first figure out what the question gives us, and what we need to find.

Given:

Test - 2 hours, 5 questions

Candidate - 80 minutes, 2 questions

Find:

Fraction of time he spent on remaining three questions

Start by finding the fraction of time that he spent on the first two questions.

Set up an unit converter to convert two hours to minutes.

[tex]2$ hours($\frac{60\text{ minutes}}{1 \text{ hour}})=2\cdot 60\text{ minutes}=120$ minutes[/tex]

Let "x" represent the fraction of time the candidate spent on the first two questions...

[tex]x=\frac{\text{Amount of Time spent on First Two Questions}}{\text{Total Time}}\\x=\frac{80\text{ minutes}}{120\text{ minutes}}[/tex]

[tex]x=\frac{80}{120}[/tex]

[tex]x=\frac{8}{12}[/tex]

[tex]x=\frac{2}{3}[/tex]

Let "y" represent the fraction of time the candidate spent on the remaining three questions...

[tex]y=1-\text{Fraction of Time spent on First Two Questions}\\y=1-\frac{2}{3}\\[/tex]

[tex]y=\frac{3}{3}-\frac{2}{3}\\[/tex]

[tex]y=\frac{1}{3}[/tex]

He spent ⅓ of the time on the remaining three questions.

The expression for the simplified total gas used is 1.43x.

let the gas used on the way to camp "x"

Then the gas used on the way back can be calculated as follows:

360 / 420 × 0.5 × x

To calculate the total fuel used, We need to add this to the 'x' used on the way.

Therefore,

total gas used = x + 360 / 420 × 0.5 × x = x + 0.43x = 1.43x

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Answer:

Depends on whether you're looking for area or perimeter. Follow the equations below

Step-by-step explanation:

This depends on whether you're being asked to find perimeter of area

Perimeter is equal to 2(length) + 2(width)

In which case perimeter would be 2(4 + w) + 2(w)

Which can be simplified to 8 + 2w + 2w = 4w + 8

However, Area is equal to length times width

Which would be (4 + w) * w = 4w + w^2

Answer:

Step-by-step explanation:

✔ w(4 +w) = 60

Answer:

2

Step-by-step explanation:

1 ⅚ + ⅙ = 1 6/6, also known as, 2

Answer:

23

Step-by-step explanation:

Compatible numbers : numbers that are easy to add, subtract, multiply, or divide mentally.  They are close in value to the actual numbers, although they do not necessary need to be rounded numbers.

-138 is close to -137.56

-6 is close to -6.12

[tex]\implies \dfrac{-138}{-6}[/tex]

Divide the top and bottom by -2:

[tex]\implies \dfrac{69}{3}[/tex]

Divide the top and bottom by 3

[tex]\implies 23[/tex]

If this is too difficult to divide mentally, you could use -140 and -7:

[tex]\implies \dfrac{-140}{-7}[/tex]

As 2 x 7 = 14, then 20 x 7 = 140, so the answer is 20.

The total amount that will be paid for the products with a sales tax of 7.5% will be $1290.

Your information isn't complete as the table denoting the appropriate values aren't given.

Let's assume that the price of a product A is given as $800 ane product B is $400. If the sales tax is 7.5%, the total amount that will be paid will be:

= ($800 + $400) + (7.5% × $1200)

= $1200 + $90

= $1290

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Answer:

The container will hold 190 ft^3 of volume of substance.

if the question means it.

Answer:

y - z; 6 - 2; 4

Step-by-step explanation:

z less than y means subtract z from y

y - z

Substitute the given values.

6 - 2

4

Answer:

B and E

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

P = 8

Q = 16

The value of PQ = 16 - 8 = 8

Since M is the midpoint of PQ,

PM = MQ

PM + MQ = PQ

PM + PM = PQ

2 PM = 8

PM = 8 / 2

PM = 4

The value of M

= 8 + 4

= 12

Answer:

M = 12

Step-by-step explanation:

If you want to find the midpoint between the numbers 8 and 16, follow the simple steps below.

First, add the two numbers: 8 + 16 = 24

Secondly, divide the total by 2: 24/2 = 12

The midpoint between 8 and 16 is 12.

hope this helps!! p.s. i really need brainliest :)

Answer:

1023 feet

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

First expression: A= k/M

when A = 15 and M = 5, k = A×M = 75

therefore, when M = 4, A = 75/3 = 25

Answer:

17.1

Step-by-step explanation

a^2+b^2=c^2

2^2 + 17^2 = c^2

4 + 289 = c^2

293 = c^2

square root of 293 or 17.1

The calculation of the function given shows that since g(x) = -2x² - 9, the value of g(3) will be -27.

From the complete function, it should be noted that the value of g(x) = -2x² - 9.

Therefore, the value of g(3) will be calculated thus:

= -2(3)² - 9

= -2(9) - 9.

= -18 - 9

= -27

In conclusion, g(3) is -27.

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Answer:

g = -3, h = 4.

Step-by-step explanation:

5h - 2g = 26

2h + 2g = 2      Adding the 2 equations:

7h = 28

h = 4.

Substituting for h in the first equation:

5(4) - 2g = 26

-2g = 26 -20 = 6

g = -3.

Answer: 4 1/2 doezen cookies

Step-by-step explanation: just subtract. Hope this helps.

Answer: 25

Step-by-step explanation:

Answer:

t = 2

Step-by-step explanation:

The perimiter is the lenth of the out side of the square. Sense we know its a square we know that the side lenth are all the same and sense we have 4 sides we would have to devide 8 by 4

8/4

which equals

t=2

Answer:

Step-by-step explanation:

Perimeter of square:

Perimeter = 4*side

[tex]\boxed{Side =\dfrac{Perimeter}{4}}[/tex]

[tex]t=\dfrac{8}{4}[/tex]

t = 2 yards

Answer:

I'm confused with this, I dont understand what you are asking.

Step-by-step explanation:

2 is equivalent with a lot of things,

1+1

3-1

92-90

7×7-47

4÷2

the list goes on...

Answer:

[tex]\sf x=7\sqrt{6}[/tex]

Step-by-step explanation:

As the base angles of the triangle are the same, then the legs of the right triangle are also equal.  Therefore, we can use Pythagoras' Theorem to calculate x.

Pythagoras' Theorem:  a² + b² = c²

(where a and b are the legs, and c is the hypotenuse of the right triangle)

Given:

Substituting the given values into the formula:

[tex]\sf \implies (7\sqrt{3})^2+(7\sqrt{3})^2=x^2[/tex]

[tex]\sf \implies147+147=x^2[/tex]

[tex]\sf \implies x^2=294[/tex]

[tex]\sf \implies x=\sqrt{294}[/tex]

[tex]\sf \implies x=\sqrt{49 \cdot 6}[/tex]

[tex]\sf \implies x=\sqrt{49}\sqrt{6}[/tex]

[tex]\sf \implies x=7\sqrt{6}[/tex]

[tex]\\ \rm\Rrightarrow cos\theta=\dfrac{Base}{Hypotenuse}[/tex]

[tex]\\ \rm\Rrightarrow cos45=\dfrac{7\sqrt{3}}{x}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{1}{\sqrt{2}}=\dfrac{7\sqrt{3}}{x}[/tex]

[tex]\\ \rm\Rrightarrow x=7\sqrt{3}\sqrt{2}[/tex]

[tex]\\ \rm\Rrightarrow x=7\sqrt{6}[/tex]

Answer:

14.50

Step-by-step explanation:

i took the quiz on k12 truse me i wish luck

The IQR for these data is 6.25.

Answer choice A is correct.

An interquartile range is a measure of the difference between the upper and lower quartiles of a dataset.

W can find the values of the upper and lower quartile and median from a box plot.

The middle line is the median and the first line is the lower quartile and the last line is the upper quartile.

The formula used is Upper quartile - Lower quartile.

We have,

To find the IQR, we first need to find the first and third quartiles.

First, we need to order the data from smallest to largest:

10.5, 11, 11.5, 14.5, 14.5, 17, 17, 18, 19

Next, we find the median (middle value) of the data set.

Since we have an odd number of data points, the median is the middle number, which is 14.5.

To find the first quartile (Q1), we need to find the median of the lower half of the data set.

That is, we need to find the median of 10.5, 11, 11.5, and 14.5.

The median of this subset is (11 + 11.5) / 2 = 11.25.

To find the third quartile (Q3), we need to find the median of the upper half of the data set.

That is, we need to find the median of 17, 17, 18, and 19.

The median of this subset is (17 + 18) / 2 = 17.5.

Now we have the first quartile (Q1) = 11.25 and the third quartile (Q3) = 17.5. The IQR is the difference between Q3 and Q1:

IQR = Q3 - Q1

= 17.5 - 11.25

= 6.25

Therefore,

The IQR for these data is 6.25.

Learn more about the interquartile range here:

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Answer:

d

Step-by-step explanation:

[tex]xy - 2x = - 3[/tex]

[tex]xy = 2x - 3[/tex]

____________________________________________

[tex]3 {x}^{2} + 5xy + 4 = 0[/tex]

[tex]3 {x}^{2} + 5(2x - 3) + 4 = 0[/tex]

[tex]3 {x}^{2} + 10x - 15 + 4 = 0[/tex]

[tex]3 {x}^{2} + 10x - 11 = 0[/tex]

[tex]delta = {10}^{2} - 4(3)( - 11)[/tex]

[tex]delta = 100 + 132[/tex]

[tex]delta = 232[/tex]

Thus;

[tex]x = \frac{ - 10 + \sqrt{232} }{6} \: \: or \: \: x \frac{ - 10 - \sqrt{232} }{6} \\ [/tex]

[tex]x = \frac{ - 10 + 15.23}{6} \: \: or \: \: x = \frac{ - 10 - 15.23}{6} \\ [/tex]

[tex]x = \frac{5.23}{6} \: \: or \: \: x = \frac{ - 25.23}{6} \\ [/tex]

[tex]x = 0.8716 \: \: or \: \: x = - 4.205[/tex]

____________________________________________

[tex]0.8716 \: y = 2(0.8716) - 3[/tex]

[tex]0.8716 \: y = 1.7432 - 3[/tex]

[tex]0.8716 y= - 1.2568[/tex]

[tex]y = \frac{ - 1.2568}{0.8716} \\ [/tex]

[tex]y = - 1.4419[/tex]

[tex] - 4.205 \: y = 2( - 4.205) - 3[/tex]

[tex] - 4.205 \: y = - 8.410 - 3[/tex]

[tex] - 4.205 \: y = - 11.410[/tex]

[tex]y = \frac{ - 11.410}{ - 4.205} \\ [/tex]

[tex]y = 2.7134[/tex]

And we're done

Have a great day ♡

2. i) 1/2 × x

x/2

ii) 1/5 × x

x/5

iii)1-(1/2+1/5)

1- (5/10+2/10)

10/10- 7/10

3/10

3/10×x

3x/10

3. i)15× $p

15p

ii) cost for 4 bananas= $g

cost for 1 banana = $g÷4

cost for 16 bananas = $g/4 ×16

=$g×4

=4g

iii)

Cost for an orange= $p

Cost for 5 oranges = 5×$p

Cost for 1 banana= $g÷4

Cost for 2 bananas = 2× ($g÷4)

Add both of the expressions to get the total cost for 2 bananas and 5 oranges.

(2×$g÷4)+(5×$p)

($g×2/4)+(5×$p)

2/4 can be simplified as 1/2

g×1/2+5p

(g/2)+5p

Hope this helps!

Answer:

Step-by-step explanation:

8 pounds of flour = 5 dollars

1 pound of flour = x

Cross multiply

8x = 1*5              Divide by 8

8x/8 = 5/8

5/8 = 0.625

Therefore x = 0.625 dollars will buy 1 pound of flour.

Rounded x = 0.63

Answer:

4/8 or 1/2 rows

Step-by-step explanation:

Hope this helps! ^^

Answer:

D. 80%

Step-by-step explanation:

15-3 = 12

12/15 = 4/5 = .8

80%