55) James left the science museum driving east 1.6 hours before Kim. Kim drove in the opposite direction going 24 km/h slower than James for 1.8 hours after which time they were 258.4 km apart. How fast did James drive?

Please show ur work, I already have the answer but I need to know how to do it. If your answer matched up with the answer key and is correct with work I will give brainliest

Answers

Answer 1

9514 1404 393

Answer:

  58 km/h

Step-by-step explanation:

Let s represent James's speed. Then s-24 is Kim's speed. The relationship between time, speed, and distance is ...

  d = st

Since the two were traveling in opposite directions, their distance apart is the sum of the distances they drove. James drove for 1.6 more hours than the 1.8 hours Kim drove, so their total distance is ...

  (1.6 +1.8)s +1.8(s -24) = 258.4

  5.2s -43.2 = 258.4 . . . . . . . . . . . . collect terms

  5.2s = 301.6 . . . . . . . . . . . add 43.2

  s = 58 . . . . . . . . . . . divide by 5.2

James drove at 58 km/h.


Related Questions

Solve 3(x – 5) + 13 ≥ 22 – 9x.
Question 6 options:

A)

x ≤ –2

B)

x ≥ –2

C)

x ≥ 2

D)

x ≤ 2

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Answer:

the answer is C

Step-by-step explanation:I hope you understand.... if you don't, let me know. pls make this your brainliest answer.

cheers

You buy 1.86 pounds of ground beef 2,8

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what is this question asking?
maybe try 3.87

You have 2 cups of ketchup. You need 2 Tbsp to make one serving of barbecue sauce. How many servings can you make?

Answers

You can make 16 servings of barbecue sauce!! 2 U.S. cups = 32 U.S. tablespoons
when you divide 32 by the 2 tbsp, you get 16 servings.

Here we need to perform a change of units to see how many servings can we make. We will see that we can make 48 servings.

Change of units:

We know that we have 2 cups of ketchup and we need 2 tbsp to make a serving, so to see the total number of servings that we can make, we need to see how many teaspoons we have in 2 cups.

We can use the relation:

1 cup = 48 teaspoons.

Then:

2 cups = 2*(48 teaspoons) = 96 teaspoons.

And we need 2 per serving, then we can make a total of:

96/2 = 48 servings.

If you want to learn more about change of units, you can read:

https://brainly.com/question/9032119

Hurry!
The simple meaning of a translation is?
O Slide
O Flip
O Turn
O Change in size

Answers

Answer:

to turn

Step-by-step explanation:

to translate in a simple definition is to turn something of a shape into another form of shape example for you to translate a language into another language in a sentence, you have to turn the letters of that language into the specific language that you want to translate

Can someone help me solve these 3 trig identity problems? I am stuck on these last 3... I will give brainliest!

(calculators are allowed)

Answers

Answer:

1. 1,246

2. 0,545

3. 0,9539

Step-by-step explanation:

semoga membantu :)

Algebraic Expressions Use the Distributive Property to expand each expression 4(3x-9)​

Answers

Answer:

12x-36?

Step-by-step explanation:

well 4×3x and 9× 4 gives the answer

pls help me , i need it done

Answers

Answer:0.50

Step-by-step explanation:

Range= Highest number - lowest number

=1.50 -1.00= 0.50

-1 and 3 tenths plus 4 tenths

Answers

The answer you are looking for is -9/10, or -0.9.

Solution:

-1 3/10+4/10

-13/10+4/10

-9/10, or -0.9

Answer:

-0.9

Step-by-step explanation:

When a number and its _________ are added, the sum is ______.

Answers

Answer:

When a number and its pair are added, the sum is greater

write the simplest form 1/6 + 2/3 + 3/4

Answers

Answer: The answer is 1  7/12

                                       

Let f(x) = -3x and g(x) = 2x-1
Find the following:
(fog)(1)

Answers

Step-by-step explanation:

steps are in picture above.

Note : if you have any confusion let me know.

9514 1404 393

Answer:

  -3

Step-by-step explanation:

  [tex](f\circ g)(1) = f(g(1)) = f(2\cdot1-1) = f(1)=-3\cdot1\\\\\boxed{(f\circ g)(1)=-3}[/tex]

Lines m and n are parallel lines. If line m has a slope of -1, find the slope of linen. Type a numerical answer in the space
provided. If necessary, use the key as a fraction bar. Do not type spaces in your answer.

Answers

line n has a slope of -1

parallel lines have equal slopes

Carmen is riding her bicycle. She rides for 22.5 kilometres at a speed of 9 kilometers per hour. For how many hours does she ride?

Answers

Answer:

2.5 hours

Step-by-step explanations:

22.5/9 = 2.5

Hope this helps! :D

Dewayne waters his plant with 0.76 quart of water every other day. Write the amount of water he uses in word form and as a fraction.​

Answers

Answer:

In word form ----> Seventy-six percent

As a fraction -----> 76/100

Find the x-intercept of the line graphed by the equation x - 7y = 7. (0, 14) (7, 0) (14, 0) (0, 7)

Answers

x-7y=7
To find the x-intercept, substitute y=0
x-7×0=7
x-0=7
x=7
∴ the x-intercept of the line is (7,0)

Find the slope of the line that passes through the points (3,5) and (8,9).

Answers

Answer:

slope=(y2-y1)÷ ( x2-x1)

where x1=3, x2=8 and y1=5, y2=9.

slope=(9-5)÷(8-3)

slope=4÷5....ans

if 3x+7 Y-37 and x = 3, then Y = ?

Answers

Answer:

y = 4

Step-by-step explanation:

Given

3x + 7y = 37 ← substitute x = 3 into the equation

3(3) + 7y = 37, that is

9 + 7y = 37 ( subtract 9 from both sides )

7y = 28 ( divide both sides by 7 )

y = 4

Step-by-step explanation:

what is the solution of linear equation of cosx(e^2y-y)=e^y sin2x

Answers

This is college? Woah I'm not advanced. Middle school!

Given cos x=12/13 and sinx=5/13. What is ratio for ​tan x​ ?

Answers

Answer:

5/12

Step-by-step explanation:

tan(x)=sin(x)/cos(x)

So by substitution we have

tan(x)=(5/13)/(12/13)

Multiplying numerator and denominator by 13 gives

tan(x)=5/12

Que costaría más comprar una vaca o comprar hamburguesas de 1€ hasta igualar a una vaca.

Answers

Answer:

haha pues cuesta mas las hamburgesas porque toca ir al doctor despues

Step-by-step explanation:

100 points-Victoria has $200 of her birthday gift money saved at home, and the amount is modeled by the function h(x) = 200. She reads about a bank that has savings accounts that accrue interest according to the function s(x) = (1.05)^x−1. Explain how Victoria can combine the two functions to model the total amount of money she will have in her bank account as interest accrues after she deposits her $200. Justify your reasoning.

Answers

Step-by-step explanation:

Our interest equation is s(x) = (1.05)^(x - 1). This is actually a part of a bigger formula for calculating the amount of money accumulated including interest:

A = P(1 + r)^n, where A is the total, P is the principal amount (initial amount), r is the interest rate, and n is the time

Here, we technically already have the (1 + r)^n part; it's just (1.05)^(x - 1). The principle, though, will actually be the 200 because she starts out at $200.

Thus, to combine these, we simply multiply them together to get:

h(x) * s(x) = 200(1.05)^(x - 1)

ps.can u pls mark me as the brainliest you'll also get point for that;)

Victoria can combine the two functions to model the total amount of money. Then the equation will be given below.

[tex]\rm h(x) \times s(x) = 200 \times (1.05)^{x-1}[/tex]

What is compound interest?

Compound interest is the interest on a loan or deposit calculated based on the initial principal and the accumulated interest from the previous period.

Victoria has $200 of her birthday gift money saved at home, and the amount is modeled by the function

[tex]\rm h(x) = 200[/tex]

She reads about a bank that has savings accounts that accrue interest according to the function

[tex]\rm s(x) = (1.05)^{x-1}[/tex]

[tex]A = P(1 + r)^n[/tex]

where A represents the sum, P represents the principal (starting amount), r represents the interest rate, and n represents the time.

To combine these, we simply multiply them by each other, yielding:

[tex]\rm h(x) \times s(x) = 200 \times (1.05)^{x-1}[/tex]

More about the compound interest link is given below.

https://brainly.com/question/25857212

helppp

find the measure of the missing angles

Answers

Answer:

B and c both equal 46

Step-by-step explanation:

134-180=46

B and c are verticle angles they will equal the same number

Help me with both of you, please, I'll give you more points​

Answers

Answer:

1. 80 or D

2. 18 or A

Step-by-step explanation:

well if a triangle is 400 square inches that mean the area is 400 and we know that the formula for area of a triangle is 1/2bh. we can do 400 = 10h/2 and now we solve for h. so times by 2 to get 800 = 10h and divide by 10 to get 80 inches. now substitute 80 in the equation and you get 400. so the answer is true.

for the second one the area of a trapezoid is (b_1+b_2)/2 • h so we substitute again to get 342 = 38h/2. now we can times by 2 to get 684 and divide by 38 to get 18. or you can do 19h = 342 and get 18.

now if you substitute the 18 in the equation you end up with 342. so the answer is true

Which of the following correctly represents the movement on the number line for the calculation 21 - (- 15) + (- 30) ?

Answers

Answer:

It moves 6 to the right.

Step-by-step explanation:

21 -(-15) = 36

36+(-30)=6

find the smallest n so that all all of the numbers are natural, 27+n, n/3 , square root of (n+16)​

Answers

Answer:

9

Step-by-step explanation:

We know it has to be a multiply of 3

27 + 3 = 30 nat number

3/3 = 1 nat number

sq root 19 not nat number

27 + 9 = 36 nat number

9/3 = 3 nat number

sq root 25 = 5 nat number

correct!

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

(b) Ivanna bought 9 pounds of flour for $5.
How many pounds of flour did she get per dollar?

Answers

Answer:

1.8 pounds per dollar

Step-by-step explanation:

Take the pounds and divide by the dollars

9 pounds / 5 dollars

1.8 pounds per dollar

Indicate which is the largest decimal in each of the following pairs.
0.01 and 0.005

Answers

Answer:

0.01

Step-by-step explanation:

0.01 is the largest decimal in the pair of 0.01 and 0.005

What is the value of the expression?

3 * [(2 * 6 - 5) + (8 divided by 4)] - 1

A. 9
B. 11
C. 26
D. 32
Show Work!

Answers

[tex]3\cdot[(2\cdot6-5)+(8:4)]-1=\\\\=3\cdot[(12-5)+2]-1=3\cdot(7+2)-1=\\\\=3\cdot9-1=27-1=\boxed{26}[/tex]

Find the value of 9 - [4 2 - (3 + 2)].
8
6
-2

Answers

Answer:

-2

Step-by-step explanation:

9 - [4^2 - (3 + 2)]

PEMDAS says parentheses first

Working from inside out

9 - [4^2 - (5)]

9 - [16 - (5)]

9 - [11]

Subtract

-2

Step-by-step explanation:

hope it is visible and makes sense

:)

hi can someone help me with this problem!!

Answers

Answer:

f(x) | 5 | - 1 | - 3 | - 1 | 5 |

Step-by-step explanation:

So first you'll say "-2" into function

Replace x with negative 2

f(x) =2(-2) ^2 - 3

8 - 3 = 5

Secondly place "- 1" into function

Replace x with negative 1

f(x) = 2(-1)^2 - 3

2 - 3 = - 1

Thirdly place "0" into function

Replace x with 0

f(x) = 2(0)^2-3

0 - 3 = - 3

Then place "1" into function

Replace x with 1

f(x) = 2(1)^2 - 3

2 - 3 = - 1

Lastly place "2" into function

Replace x with 2

f(x) = 2(2)^2 - 3

8 - 3 = 5

{ hope this helps}

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