Jason and his family travel 160 miles in 3.2 hours. If they continue at this constant speed, how long will it take them to travel 300 miles? Complete the table

Answers

Answer 1

It will take them 6 hours to travel 300 miles. How I got my answer: 160 divided by 3.2 = 50 miles per hour, 300 divided by 50 = 6 hours. Hope I could help! :D

Answer 2

Answer:

t = 6hrs

Step-by-step explanation:

Speed = distance/time

Speed at 160miles in 3.2hrs will be = 160/3.2= 50

At the constant speed of 50, time taken to travel 300miles

Is speed = distance / time

50 =300/t

Cross multiply

50t =300

Divide both sides by 50

t = 300/50

t = 6hrs


Related Questions

What number is 25% more than 84

Answers

Answer:

105

Step-by-step explanation:

The number that is 25% more than 84 is 105.

To find 25% more than a given number, one can calculate 25% of that number and then add it to the original number. Here's the step-by-step calculation:

1. First, calculate 25% of 84:

[tex]\[ 25\% \text{ of } 84 = \frac{25}{100} \times 84 = \frac{1}{4} \times 84 = 21 \][/tex]

2. Then, add this value to the original number to find the increased amount:

[tex]\[ 84 + 21 = 105 \][/tex]

Therefore, 25% more than 84 is 105.

can someone explain how to simplify a (b+c) ?

Answers

Answer:

ab + ac

Step-by-step explanation:

a (b+c)

a is multiplying everything in the bracket

axb + axc

ab + ac

Answer:

ab + ac

Step-by-step explanation:

a (b + c) *multiply

a x b + a x c

ab + ac

Solve for v: -4(v - 2) + 3 > -3(v + 9)

Answers

Answer:

-4v + 8 > -3v - 9

-v + 8 > -9

-v > -17

v < 17

Answer:

vhgxyghfjugcfydcf

Step-by-step explanation:

Together, two people earn $28,000. One earns$2,000 more than the other. How muchistheSmaller income?

Answers

Step-by-step explanation:

Let one person earns $ x

Therefore other earns = $(x + 2000)

According to the given condition:

[tex]x + (x + 2000) = 28000 \\ \\ \therefore \: x + x + 2000 = 28000 \\ \\ \therefore \: 2 x = 28000 - 2000\\ \\ \therefore \: 2 x = 26000\\\therefore \: x = \frac{26000}{2} \\ \\ \therefore \: x = 13000 \\ \implies \: x + 2000 \\ \: \: \: \: \: \: \: \: \: \: = 13000 + 2000 \\ \therefore \: x + 2000= 15000 \\ [/tex]

Hence, smaller income is $13000.

How do you Solve 9k+m=6p for k

Answers

Answer:

k=[tex]\frac{2p-m}{3}[/tex]

Step-by-step explanation:

9k+m=6p

9k=6p-m

k= [tex]\frac{6p-m}{9}[/tex]

k= [tex]\frac{2p-m}{3}[/tex]

Which expression is equivalent to (x - 2)(x + 4) ?

(x + 1)2 – 9
(x - 1)² – 9
(x + 1)² – 7
(x - 1)² – 7

Answers

Answer:

Step-by-step explanation:

hello :

(x + 1)2 – 9 is equivalent to (x - 2)(x + 4)

because (x + 1)2 – 9  =(x + 1)2 – 3²

                                 = (x+1-3)(x+1+3) =(x-2)(x+4)  

Answer:

(x + 1)² - 9

Step-by-step explanation:

Expand each of the factors using FOIL

(x - 2)(x + 4)

= x² + 4x - 2x - 8 ← collect like terms

= x² + 2x - 8

Now consider the expansions of

(x + 1)² - 9

= x² + 2x + 1 - 9

= x² + 2x - 8 ← equivalent to (x - 2)(x + 4)

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

(x - 1)² - 9

= x² - 2x + 1 - 9

= x² - 2x - 8 ← not equivalent to (x - 2)(x + 4)

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

(x + 1)² - 7

= x² + 2x + 1 - 7

= x² + 2x - 6 ← not equivalent to (x - 2)(x + 4)

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

(x - 1)² - 7

= x² - 2x + 1 - 7

= x² - 2x - 6 ← not equivalent to (x - 2)(x + 4)

Marcus and Phillip are in the Robotics Club. They are both saving money to buy materials to build a new robot. They plan to save the same amount of money.
Marcus decides to open a new bank account. He deposits $25 that he won in a robotics competition. He also plans on depositing $15 each week that he earns from
tutoring. Phillip also opens an account. He deposits $40 he has saved from mowing lawns over the summer. He plans to save $10 a week from his allowance. After
how many weeks will they have the same amount of money saved?
3 weeks
4 weeks
5 weeks
6 weeks

Answers

Answer:

Step-by-step explanation:

marcus : deposits 25 + 15 each week(w)

25 + 15w

Philip : deposits 40 + 10 each week(w)

40 + 10w

when will they be equal.....set them equal and solve for w, the number of weeks

25 + 15w = 40 + 10w

15w - 10w = 40 - 25

5w = 15

w = 15/5

w = 3 <==== they will be equal at 3 weeks

The number of weeks for both Marcus and Phillip to have the same amount of money saved is 3 weeks

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of weeks be = A

The amount Marcus deposits in the bank account = $25

The amount Marcus deposits each week = $15

So ,

After A weeks , Marcus will deposit = $ 15A

And , Total deposit in the bank for Marcus =
Amount Marcus deposits in the bank account + Amount Marcus deposits for A weeks

Total deposit in the bank for Marcus = 25 + 15A

And ,

The amount Phillip deposits in the bank account = $40

The amount Phillip deposits each week = $10

So ,

After A weeks , Phillip will deposit = $ 10A

And , Total deposit in the bank for Phillip =
Amount Phillip deposits in the bank account + Amount Phillip deposits for A weeks

Total deposit in the bank for Phillip = 40 + 10A

Now , for both Marcus and Phillip to have the same amount after A weeks ,

Total deposit in the bank for Marcus = Total deposit in the bank for Phillip

Substituting the values , we get

25 + 15A = 40 + 10A

Subtracting 10A on both sides , we get

5A + 25 = 40

Subtracting 25 on both sides , we get

5A = 15

Divide by 5 on both sides , we get

A = 3 weeks

Hence , The number of weeks for both Marcus and Phillip to have the same amount of money saved is 3 weeks

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Conditional Probability

Answers

Yo sup??

P(A|B)=P(A∩B)/P(B)

P(A∩B)=probability of finding a girl and is sophomore

P(B)=probability of finding a sophomore

P(A|B)=9/10

Hope this helps.

Answer:

Step-by-step explanation:

Total number of persons = 37

Number of girl and sophomore= 9

Prob(girl/sophomore) = 9/37

Savannah says that 1 kilogram is equivalent to 1000000 milligrams is savannah correct? Explain

Answers

Yes savannah is correct
Expiation 1 kg = 1000g
1 g = 1000 milligrams (mg)
So 1000g X 1000mg
= 1000000 is answer

Answer:

Savannah is correct

Step-by-step explanation:

On a scale drawing, a park is 4.5 inches long. The scale is 0.5inch=10 feet. What is the actual length of the park ?

Answers

Answer:

90 feet

Step-by-step explanation:

4.5in/0.5in=9

9 times 10 is 90 feet

Answer:

90 feet

Step-by-step explanation:

Which of the following Expressions is not equivalent to -8? a. 2×(-4) b. 4×(-2) c. -4×2 d. -4×(-2)​

Answers

D

Negative times negative is positive

Given the following absolute value function sketch the graph of the function and find the domain and range.
ƒ(x) = |x + 3| - 1
explain in words not with a graph plsss

Answers

Step-by-step explanation:

The given absolute value expression is

[tex]f(x) = |x + 3| - 1[/tex]

This absolute value function is of the form

[tex]f(x) = |x + h| + k[/tex]

where (h,k)=(-3,-1) is the vertex.

This function opens upwards, hence the the minimum point is (-3,-1)

The domain is the values of x for which the function is defined.

The domain is all real numbers.

The range is the values of y for which x is defined.

The is y≥-1 because the minimum value is -1.

The graph is shown in attachment.

Please this is very urgent!!!!!


39 degrees

51 degrees

129 degrees

180 degrees

Please help!!!

Answers

If finding angle L, I’m pretty sure it’s 51 degrees.

How much is 1+1x3x6+2x20-100/3x20

Answers

Answer:

-41/60

Step-by-step explanation:

Type the whole thing into a calculator.

Answer:

The answer is -41/60

Step-by-step explanation:

I hiking trail is 20 km long. Park organizers want to build five rest ops for hikers with one on each end of the trail in the other three spaced evenly between. How much distance will separate successive rest stops

Answers

Answer:

5km

Step-by-step explanation:

There are 5 rest ops where 2 of them are at 2 ends and the other 3 are spaced evenly between. This would create 4 equal separated spaces. If the total distance is 20km, then the length for each space would be 20 / 4 = 5 km

I need to know the values of X and Y

Answers

Answer:

x=25, y=113

Step-by-step explanation:

5x=3x+50 (alternate angles)

5x-3x=50

2x=50

Dividing both sides by 2

x=25

Now

5x=y+12 (vertical angles)

5(25)=y+12

125=y+12

y=125-12

y=113

19125 people, exactly 75%, what is the total population of the town

Answers

Answer:

25500 people

Step-by-step explanation:

We are given;

Number of people is 19125

The percentage representing the number is 75%

We need to determine the total population;

The total population will be 100%

Therefore;

If 75% = 19125 people

Then, 100% will represent;

 = (19125 ÷ 75) × 100

 = 255 × 100

 = 25500 people

Therefore, the total population of the town is 25500 people

Final answer:

To find the total population of the town, divide 19,125 (75% of the population) by 0.75, resulting in a total population of 25,500.

Explanation:

To find the total population of the town when given that 19,125 people represent 75%, we need to use the concept of percentages. The number 19,125 is 75% of the total population, so if we let total population equal 'x', we can set up the equation 0.75x = 19,125. To solve for 'x', we divide both sides of the equation by 0.75.

Therefore, the equation to find the total population is:

x = 19,125 / 0.75

Calculating this gives us:

x = 25,500

So, the total population of the town is 25,500.

chevy have some yarn that he wants to use to make hats and scarves. each hat uses 0.2 kilograms of yarn and each scarf uses 0.1 kilograms of yarn. chevy wants to make a total of 15 items. let h be the number of hats chevy makes and s be number of scarves he makes.

Answers

Question:

Chevy has some yarn that he wants to use to make hats and scarves. Each hat uses 0.2 kilograms of yarn and  each scarf uses 0.1 kilograms of yarn. Chevy wants to use 2 kilograms of yarn to make a total of 15 items.

Let h be the number of hats Chevy makes and s be the number of scarves he makes.

Which system of equations represents this situation?​

Answer:

The system of equations represents this situation are:

h + s = 15

0.2h + 0.1s = 2

5 hats and 10 scarves are made

Solution:

From given,

Let "h" be the number of hats Chevy made

Let "s" be the number of scarves made

They made a total of 15 items

Therefore, we get,

h + s = 15 --------- eqn 1

Also given that,

Each hat uses 0.2 kilograms of yarn

Each scarf uses 0.1 kilograms of yarn

Chevy wants to use 2 kilograms of yarn

Therefore, we frame a equation as:

[tex]0.2 \times h + 0.1 \times s = 2[/tex]

0.2h + 0.1s = 2 --------- eqn 2

Thus eqn 1 and eqn 2 represents the system of equations

Let us solve eqn 1 and eqn 2

From eqn 1,

h = 15 - s ------ eqn 3

Substitute eqn 3 in eqn 2

0.2(15 - s) + 0.1s = 2

3 - 0.2s + 0.1s = 2

0.1s = 1

s = 10

Substitute s = 10 in eqn 3

h = 15 - 10

h = 5

Thus 5 hats and 10 scarves are made

what is the mean,mode,median,and range of 5,5,5,6,6,6,7,7,7,7,7​

Answers

Answer:

median=6, range=2 mean=61 mode=7

the median is the middle which is 6

The range is the lowest-biggest number which would be 2

mean=average

mode is the one that appears most

Answer:

68 / 11 = mean

7 = mode

6 = median

2 = range

Step-by-step explanation:

Mean means the average

Mode means the most common

Median means the middle

Step 1:  Find the mean by adding all the values then dividing by the amount of values

5 + 5 + 5 + 6 + 6 + 6 + 7 + 7 + 7 + 7 + 7​ = 68

68 / 11 = mean

Step 2:  Find the mode which is the most common

5, 5, 5, 6, 6, 6, 7, 7, 7, 7, 7​

5 is repeated 3 times, 6 is repeated 3 times, 7 is repeated 5 times

7 = mode

Step 3:  Find the median which is the middle

5, 5, 5, 6, 6, 6, 7, 7, 7, 7, 7​

6 = median because it is in the middle

Step 4:  Find the range which is the difference the highest and lowest number

7 - 5 = 2

2 = Range

Solve 6 - x - x = 18​

Answers

[tex]\text{Hey there!}[/tex]

[tex]\mathsf{Solve: 6 -x- x=18}[/tex]

[tex]\mathsf{Combine\ your\ like\ terms}\\\mathsf{6 -\bf{x - x}\mathsf{= 18}}\\\mathsf{-x-x=-2x}\\\mathsf{Your\ new\ equation: -2x+6=18}\\\\\mathsf{Do\ the\ OPPOSITE\ symbol\ on\ both\ sides\ of\ the\ equation}\\\mathsf{Addition\ opposite\ symbol\ is\ subtraction}\\\mathsf{Subtract\ by\ 6\ on\ your\ sides}\\\mathsf{-2x+6-6=18-6}\\\mathsf{Cancel\ out{6-6\ because\ it\ gives\ us\ 0}}\\\mathsf{Keep:18-6\ because\ it\ helps\ us\solve\ for\ the\ answer}\\\\\mathsf{Next,\ divide\ both\ sides\ by\ -2}[/tex]

[tex]\mathsf{\dfrac{-2x}{-2}=\dfrac{12}{-2}}\\\\\mathsf{Cancel\ out: \dfrac{-2x}{-2}\ because\ it\ gives\ you\ the\ result\ of 1}\\\\\mathsf{Keep:\dfrac{12}{-2}\ because\ it\ gives\ the\ answer\ of\ x}\\\\\\\boxed{\bf{Answer:\mathsf{x=-6}}}}}}}\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}\\\\\frak{LoveYourselfFirst:)}[/tex]

Write 2 numbers that cannot be divided evenly by 8 or 9. Write 1 number that can be divided evenly by both 8 and 9.

Answers

Answer:

17 and 26 (cannot be divided evenly by 8 and 9)

72 (LCM for 8 and 9)

Step-by-step explanation:

The value of 2 numbers that cannot be divided evenly by 8 or 9 are 17 and 19.

And, The value of 1 number that can be divided evenly by both 8 and 9 is 72.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Now,

The value of 2 numbers that cannot be divided evenly by 8 or 9 are,

⇒ 17 and 19

Cleary. Both number cannot divide by 8 or 9.

And, The value of 1 number that can be divided evenly by both 8 and 9 is,

⇒ LCM of {8, 9}

⇒ 72

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Distance to the earth's center kilometer

Answers

Answer:

its 6,371 in kilometers

Square root of 5 •-4 Square root of 20x

Answers

Answer:

[tex] - 40 \sqrt{x} [/tex]

Step-by-step explanation:

We want to simplify:

[tex] \sqrt{5} \times - 4 \sqrt{20x} [/tex]

We rewrite the radicand using prime factorization:

[tex] \sqrt{5} \times - 4 \sqrt{4 \times 5x} [/tex]

This gives us

[tex]\sqrt{5} \times - 4 \sqrt{4} \times \sqrt{5} \times \sqrt{x} [/tex]

Create perfect squares and simplify:

[tex](\sqrt{5} )^{2} \times - 4 \sqrt{4} \times \sqrt{x} [/tex]

[tex]5 \times - 4(2) \sqrt{x} [/tex]

[tex]5 \times - 8 \sqrt{x} = - 40 \sqrt{x} [/tex]

The product of a number m and 6 is no less than 30.

Answers

Answer:

x= anything less than 5

Step-by-step explanation:

We know that 5*6 is 30, so x would have to be anything less than five.

Answer:m+6<30

Step-by-step explanation:

PLS HELP....I WILL MARK YOU BRAINLIEST What is the value of 8(3 + X) when X = 7?

Answers

Answer:

80

Step-by-step explanation:

8(3+7)

8*3=24

8*7=56

24+56=80

Answer: 80

Step-by-step explanation: To solve this problem, we first substitute 7 in for x inside the parentheses and we have 8 (3 + 7).

Following your order of operations, you should simplify what's inside the parentheses first. So 3 + 7 simplifies to 10.

Bring down your 8 and you have 8 (10) which equals 80.

A small business earns a profit of $6500 in January and $17,500 in May. What is the rate of change in profit for this time period?

The rate of change in profit for this time period is $1$$ per month.


Answers

Rate of change of profit for this period is $2750 per month

Solution:

Given that,

Profit of $6500 in January and $17,500 in May

To find: Rate of change

Since,

January is the first month of the year (1) while May is the fifth month (5)

Therefore, we get two points

(1, 6500) and (5, 17500)

Using these points we can find the rate of change in profit for this time period

The rate of change using the following formula:

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Here from the points,

[tex](x_1, y_1) = (1, 6500)\\\\(x_2, y_2) = (5, 17500)[/tex]

Therefore, rate of change is given as:

[tex]m = \frac{17500-6500}{5-1}\\\\m = \frac{11000}{4}\\\\m = 2750[/tex]

Thus rate of change of profit for this period = $2750 per month

helpppppppppppppp plsss :)

Answers

Answer:

i think the answer is a

Step-by-step explanation:

Answer: The answer is C

Step-by-step explanation:

You have to remember to convert the fractions into equal denominators in order to solve it. In this case, it is 12.

Explain the error in the work shown. Find the
correct answer.
1/64 = 16^2a 4^-3=(2^4)^2a 4^-3=2^8a -3=8a
-3/8 = a

Answers

Answer:

[tex]a = - \frac{3}{4}[/tex]

Step-by-step explanation:

The correct solution of the given equation is as follows :

We have,

[tex]\frac{1}{64} = 16^{2a}[/tex]

⇒ [tex]4^{- 3} = (2^{4} )^{2a}[/tex]

⇒ [tex]2^{(2 \times (-3))} = 2^{8a}[/tex]

⇒ [tex]2^{- 6} = 2^{8a}[/tex]

Comparing the power of equal base, we get

- 6 = 8a

⇒ [tex]a = - \frac{6}{8}[/tex]

⇒ [tex]a = - \frac{3}{4}[/tex]

Therefore, before equating the powers of two terms the base of the terms should be equal and here this is the error. (Answer)

Answer:

The bases were not the same when the exponents were set equal to each other.

16 should have been written as 4 squared.

The exponent on the right should be 4a instead of 8a.

The correct solution is a = -3/4

Step-by-step explanation:

correct on edge

Which of the following expressions represent the distance between -4 and 1

Answers

Answer: i dont see expressions but it would be 5

Step-by-step explanation:

Answer:

|-4-1|

Step-by-step explanation:

i got it right

[30points] What is the formula used to make an equation when we know the zeroes (alpha+beta) and (alpha x beta) ?

Answers

Answer:

If it is a quadratic equation then it's zeroes are alpha and beta. Sum of zeroes is -b/a. So alpha plus beta is -b divided by a.

Step-by-step explanation:

The formula used for making an equation when you know the zeroes is;

k(x² - (sum of zeroes)x + (product of zeroes)k(x² - (α+β)x + (αβ))

k here,is a constant; for better clarification follow this example;

Say

(α+β) = 1(αβ) = 2

According to the formula the equation must be;

k(x² - (α+β)x + (αβ))k(x² - (1)x + (2))k(x² - 1x + 2)

Now, the k can be replaced with any variable, i.e, 3,4,5/6,7 etc anything. Hope it was clear.

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