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3 years ago

I don’t know how to do this

Mathematics

1 answer:

In-s [12.5K]3 years ago

3 0

Answer:

Option 1

Step-by-step explanation:

$\sqrt[4]{ {a}^{6} {b}^{4} {c}^{8} } \\ = {a}^{6 \div 4} {b}^{4 \div 4} {c}^{8 \div 4} \\ which \: gives \: option \: 1$

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Set up an equation and solve the following problem.

nordsb [41]

Answer:

The speed of Dave is 42 miles per hour

The speed of Kent is 46 miles per hour .

Step-by-step explanation:

Given as :

The distance cover by Dave = d = 210 miles

The time taken by Dave = t hour

The speed of Dave = s miph

<u>Again</u>

The distance cover by Kent = D = 230 miles

The time taken by Kent = T hour

The speed of Kent = S = (s + 4 ) miph

Time = $\dfrac{\textrm Distance}{\textrm Speed}$

So, t = $\dfrac{\textrm d miles}{\textrm s miph}$

Or, t = $\dfrac{\textrm 210 miles}{\textrm s miph}$

Time = $\dfrac{\textrm Distance}{\textrm Speed}$

So, T = $\dfrac{\textrm D miles}{\textrm S miph}$

Or, T = $\dfrac{\textrm 230 miles}{\textrm (s + 4) miph}$

∵ Time taken by both is same

So, t = T

Or, $\dfrac{\textrm 210 miles}{\textrm s miph}$ = $\dfrac{\textrm 230 miles}{\textrm (s + 4) miph}$

Or, 210 × (s + 4) = 230 × s

Or, 210 × s + 210 × 4 = 230 × s

Or, 210 × 4 = 230 × s -210 × s

Or, 210 × 4 = 20 × s

∴ s = $\dfrac{840}{20}$

i.e s = 42 miph

So, The speed of Dave = s = 42 miles per hour

Again

The speed of Kent = S = (s + 4 ) miph

i.e S = 42 + 4

or, S = 46 miph

So, The speed of Kent = S = 46 miles per hour

Hence,The speed of Dave is 42 miles per hour

And The speed of Kent is 46 miles per hour . Answer

8 0

3 years ago

What percent of 225 is 180

Marysya12 [62]

Hello! To solve this problem, we should do 180/225. When you do that, you get 0.8. But then, you must multiply by 100 to get your percentage. When you do that, the product should be 80. 180 is 80% of 225.

8 0

3 years ago

Read 2 more answers

Emily has 12 fruits in her bowl. She has 3 apples, 5 bananas, 1 pear and 3 oranges. A fruit is selected at random. What is the p

blsea [12.9K]

Answer: The probability that the fruit is an orange or a pear is $\dfrac{1}{3}$ .

Step-by-step explanation:

Given : Emily has 12 fruits in her bowl.

She has 3 apples, 5 bananas, 1 pear and 3 oranges.

A fruit is selected at random.

P(orange) = $\dfrac{\text{Number of oranges}}{\text{Total fruits}}$

$=\dfrac{3}{12}$

P(pear)= $\dfrac{\text{Number of pears}}{\text{Total fruits}}$

$=\dfrac{1}{12}$

Since both events of selecting orange and pear are mutually exclusive , so

The probability that the fruit is an orange or a pear = P(orange) + P(pear)

$=\dfrac{3}{12}+\dfrac{1}{12}=\dfrac{4}{12}=\dfrac{1}{3}$

Therefore , the probability that the fruit is an orange or a pear is $\dfrac{1}{3}$ .

5 0

4 years ago

2 Determine whether the table represents a linear relationship. If so, state the slope of

yarga [219]

Answer:

Tables A and B represent linear relationship

-------------------------

<h3>Table A</h3>

x = 2, 3, 4, 5 Difference is 1
y = 14, 21, 28, 35 Difference is 7

This is linear and the slope is 7

<h3>Table B</h3>

x = -2, -1, 0, 1 Difference is 1
y = 10, 5, 0, -5 Difference is - 5

This is linear and the slope is - 5

<h3>Table C</h3>

x = 2, 3, 4, 5 Difference is 1
y = 48, 72, 90, 114 Difference is inconsistent

This is not linear

6 0

2 years ago

Which situation can be represented by the expression -2-5−2−5minus, 2, minus, 5?

pychu [463]

The situation that represents the expression 2 - 5 is (a) the temperature was 2°C and has decreased by 5°C

<h3>How to determine the situation?</h3>

The expression is given as:

2 - 5

When the expression illustrates change in temperature, the interpretation can be:

An initial temperature of 2°C decreases by 5°C

Hence, the situation that represents the expression 2 - 5 is (a) the temperature was 2°C and has decreased by 5°C