Jose left the airport and traveled toward the mountains. Kayla left 2.1 hours later traveling 35 mph faster in an effort to catch up to him. After 1.2 hours Kayla finally caught up. Find Jose's speed.

Answers

Answer 1
Answer:   20 mph

========================================================

Explanation:

x = Jose's speed in mph

x+35 = Kayla's speed since she drives 35 mph faster than Jose

Jose gets a 2.1 hour head start and it takes Kayla 1.2 hours to reach him. So this means Jose has been driving for 2.1+1.2 = 3.3 hours when Kayla reaches him. The distance he travels is

distance = rate*time

d = r*t

d = x*3.3

d = 3.3x

while Kayla's distance equation is

d = r*t

d = (x+35)*1.2

d = 1.2x+42

Since Kayla meets up with Jose at the 1.2 hour mark, this means the two distances they travel is the same. Set their distance expressions equal to one another. Solve for x.

3.3x = 1.2x+42

3.3x-1.2x = 42

2.1x = 42

x = 42/(2.1)

x = 20

Jose's speed is 20 mph, while Kayla's speed is x+35 = 20+35 = 55 mph.

Jose's fairly slow speed is probably due to a number of factors such as heavy traffic, icy roads, or poor visibility. Kayla probably got a bit of a break with more favorable conditions.

Since Jose travels at 20 mph and does so for 3.3 hours, he travels d = r*t = 20*3.3 = 66 miles. Kayla travels d = r*t = 55*1.2 = 66 miles as well. We get the same number each time to help confirm the answer.


Related Questions

What is the value of the expression 2z ÷ [z – (z – 4)] when z = 8?

Answers

2z ÷ [z – (z – 4)]

Sub z=8 into the expression

2(8) ÷ [8 – (8 – 4)] = 16 ÷ 4

                             = 4

25% of Santa's 9 reindeer were playing reindeer games. How many of Santa's reindeer were NOT playing reindeer
games?

Answers

Answer:

75%, or 7

Step-by-step explanation:

100-25=75

75% of 9 is 6.75 (because 9x0.75)

so we can round to 7, unless there's a decapitated reindeer involved

Answer: 6.75

Step-by-step explanation:

for this math problem we need to find the percentage and subtract that from the original number ( 9 ) . . .

what is 25% if 9 ? 2.25

what is 9 - 2.25 ? 6.75

Write the following fraction as percent 7/10

Answers

the fraction version of 7/10 is 70% :))
7/10 is equal to 70%

1 less then the quotent of a number n and 6

Answers

" the quotient " means divide

(n/6) - 1 <== ur expression

Shayna pays 20 for 5 bottles of juice. What is the unit price for the bottles of juice?

Answers

20/5 = 4
therefore the unit price for the bottles of juice is 4


Lucas is having yogurt and an apple for a snack. There are five containers of yogurt in the refrigerator three
are raspberry, one is vanilla, and one is peach. There are also two green apples and three red apples.

If he reaches into the refrigerator to get a yogurt without looking, what is the probability that Lucas wis
choose a raspberry yogurt?

Answers

Answer:

His probability of getting a raspberry yogurt is 3/5 or 60%.

Step-by-step explanation:

Pls mark brainliest.

If sin A = 3/4, then the value of tan A

Answers

[tex]sinA=\frac{3}{4}[/tex]  ⇒  ∠A ≈ 49°

tanA ≈ 1.15

ok done. Thank to me :>

HELP PLEASE!!! 50 POINTS INCORRECT ANSWERS WILL BE REPORTED.

Answers

Congruent means same so the equation is
5x+24=9x-17
Subtract 5x on both sides
24=4x-17
Add 17 to both sides
41=4x
Divide by 4
10.25

A gardener measures the dimensions of a rectangular garden that is 9 meters wide by 12 meters long. If the gardener draws a blueprint of the garden, where each meter is equivalent to
inch, which statements are true?
Select ALL that apply.
The area of the blueprint is square inches
The area of the blueprint is 108 square inches
The length of the blueprint is 6 meters
The perimeter of the blueprint is 28 inches.
The width of the blueprint is 8 meters
Calculator

Answers

Answer:

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The statements are true:

The area of the blueprint is square inches

The area of the blueprint is 108 square inches

What is Area of rectangle?

The Area of Rectangle is product of its length to its width.

So, Area of Rectangle = length x width

Given:

length= 12 inch

and width= 9 inch

Area of Blue print = l x w

                              = 12 x 9

                              = 108 square inches.

Perimeter of Blue print = 2 ( l+ w)

                                       = 2( 12+ 9)

                                       = 42 inches

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Ben made some apple pies. For every 4 cups of butter, he added 3 cups of water. The ratio of butter to water in Ben's apple pies is ____. (5 points)

Question 1 options:

1)



2)



3)

3

4)

4

Answers

Answer:

4 Trust me

Step-by-step explanation:

Convert 5 square meters to square centimeters. Explain

Answers

Answer:

5 sq m = 50,000 sq cm

5 sq m = 5 sq m

Step-by-step explanation:

To convert a square meter measurement to a square centimeter measurement, multiply the area by the conversion ratio.

Since one square meter is equal to 10,000 square centimeters, you can use this simple formula to convert:

square centimeters = square meters × 10,000

Answer:

50000 square centimeters.

Step-by-step explanation:

A restaurant tablecloth is 98 inches across. What is the approximate circumference?

Answers

Answer:

The circumference of a circle with diameter of 98 in. is about 308 in.

Step-by-step explanation:

We know the diameter. Using the diameter, we can find the circumference.

=> Diameter = 98 in.=> Radius = 98/2=> Radius = 49 in.

Circumference = 2πr

=> 2 x 22/7 x 49=> 2 x 22 x 7=> 308 in.Conclusion:

Therefore, the circumference of a circle with diameter of 98 in. is about 308 in.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Which equation has the same solution as w / 3.9 = 3? A. w+0.6=1.9 B. w-0.6 = 11.1 C. w+1.03=2.93 D. w-1.03=8.24

Answers

The equation has the same solution as w / 3.9 = 3 is w+0.6=1.9

Given:

w / 3.9 = 3

cross multiply

w × 3 = 3.9

3w = 3.9

divide both sides by 3

w = 3.9 / 3

w = 1.3

Check all that applies

A. w+0.6=1.9

w = 1.9 - 0.6

w = 1.3

B. w-0.6 = 11.1

w = 11.1 + 0.6

w = 11.7

C. w+1.03=2.93

w = 2.93 - 1.03

w = 1.9

D. w-1.03=8.24

w = 8.24 + 1.03

w = 9.27

Therefore, the equation has the same solution as w / 3.9 = 3 is w+0.6=1.9

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I need help. I have to find X to solve the equation.

Answers

Answer:

x=17.333

Step-by-step explanation:

3x+8=60

3x=60-8

3x=52

x=52\3

x=17.333

WILL GIVE BRAINLIEST

Answers

Answer:the slope of the line is 5/3

The y-intercept is 0

Step-by-step explanation:

Answer:

C and E

Step-by-step explanation:

Don’t know where to start

Answers

Answer:

A = 80π

Step-by-step explanation:

Area of a circle is A = πr²

Area of the the largest circle - Area of the smaller circle = the shaded part.

Largest circle    -    Area of the smaller circle   = Shaded part of circle

A  = π(12)²         -     A = π(8)²

    144π            -      64π                           =        80π

x + 7 when x = -11
What is the answer

Answers

-3!!!!!!!! Is the answer have fun and I hope you get this right

Sally used a ruler to draw the segment ab she then opened her compass to the length of ab and drew a circle keeping thw compass open to the same length she marked off equal parts along the circle as shown in the following figure using some or all of the points of intersection and point a which of the following regular polygons could she construct

Answers

Answer:

Step-by-step explanation:

Equilateral Triangle

Regular Hexagon

HELP!!!
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match the multiplication expressions to the exponential expressions.

Answers

Answer:

Step-by-step explanation:

4.6 + 3.28 + 1.03 = ___


8.91

8.81

8.37

8.18

Answers

Answer: The answer is 8.91.

Answer : 8.91

Step - by - step explanation :

Sometimes if a question is to big for you - it's best to start off small . . .

4.60 + 3.28 = 7.88

7.88 + 1.03 = 8.91

PLS HELP GIVING (BRAINLY)
Which statement shows the correct value for the exponential expression 43?
A. 3 x 3 x 3 x 3 = 81
B. 4x3 = 12
C. 4x 4x4 x 4 = 256
D. 4 x 4 x 4 = 64

Answers

Answer:

i think D. 4x4x4 = 64 is answer

Step-by-step explanation:

4³ = 4×4×4 = 64

D......................................

HURRY!

Given the function ƒ = {(1 , 2), (2 , 3), (3 , 4)} write the set of ordered pairs representing ƒ -1.
Select one:
a. {(1, 2), (3, 2), (4, 3)}
b. {(2,1), (3, 2), (4, 3)}
c. {(2, 1), (2, 3), (3, 4)}

Answers

C is s the answer because your just repeating

The set of ordered pairs is {(2, 1), (2, 3), (3, 4)} which represents ƒ -1, which is the correct answer that would be an option (C).

What is an ordered pair?

An ordered pair is made up of two components isolated by a comma and put inside parentheses. (x, y) indicates an ordered pair, where 'x' is the first component and 'y' is the second component in the ordered pair.

Given the function ƒ = {(1 , 2), (2 , 3), (3 , 4)}

According to option (A),

The set of ordered pairs is {(1, 2), (3, 2), (4, 3)}

This represents ƒ -3,

According to option (B),

The set of ordered pairs is {(2,1), (3, 2), (4, 3)}

This represents ƒ -2,

According to option (C),

The set of ordered pairs is {(2, 1), (2, 3), (3, 4)}

This represents ƒ -1,

Thus, the set of ordered pairs is {(2, 1), (2, 3), (3, 4)} which represents ƒ -1.

Hence, the correct answer would be option (C).

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the product of seven non-zero factors. of which only three are positive. is

a) positive
B) negative
c) null​

Answers

The answer is A

Step-by-step explanation: This is one of those sneaky questions where you think there is no definite answer, but don't despair. There is an answer. You have 7 numbers 3 of them are positive which means greater than 0. Let's pick them 345 = 60 That part's easy. Those 3 numbers give a plus result. Now try the other 4 numbers -3 -2 - 1-4 Do you see what's going to happen. You have -3* - 2 = 6 then you get - 1*-4 = 4 All of a sudden you get a positive result 6 * 4 = 24 60 * 24 = 1440 So the answer is any 3 plus numbers multiplied by 4 minus numbers gives a plus result.

Of 7 non-zero factors, 3 are positive, so the other 4 are negative. Multiplying two negatives gives a positive number. So on its own, the product of all the negatives is positive, and multiplying by the other 3 positive numbers makes the overall product positive.

The value of x² – 2yx + y² when x = 1, y = 2 is

Answers

7
The process
1-2(2x1)+(2)^2

[tex]x^2 - 2xy +y^2 = (x-y)^2 = (1-2)^2 = (-1)^2 =1[/tex]

An office clerk earns $120 for two 4-hour work shifts. How much will she earn
for 15 hours of work?

Answers

Answer:

$225

Step-by-step explanation:

$120 for 2 4-hour shifts, $120 in 8 hours

$15 every 1 hour

Money for 15 hours: 15 x 15 = $225

The office clerk earns $225 for 15 hour of work .

What is unitary method?

The formula of the unitary method is to find the value of a single unit and then multiply the value of a single unit to the number of units to get the necessary value.

According to the question

An office clerk earns $120 for two 4-hour work shifts.

i.e

In 2 * 4-hour work shifts office clerk  earns = $120

or

In 8 hour work shifts office clerk earns = $120

Now ,

By using unitary method

In 1 hour  work shifts office clerk earns = $[tex]\frac{120}{8}[/tex]

                                                                = $15

Therefore, for 15 hours of work shifts office clerk earns =  $15 * 15

                                                                                          = $225

Hence, The office clerk earns $225 for 15 hour of work .

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At a video arcade, the action video games this week cost $25, which is 125% of last week's price. What was its price last week?

A. $20

B. $15

C. $40

D. $25

Answers

Answer:

A

Step-by-step explanation:

125% of 25 is the same as 5/4 of 25.

Divide by 5 and you get 5. 1/4 is 5, so 100% or 4/4 is 20

Answer:

it's a

Step-by-step explanation:

trust

A middle school took all of its 6th grade students on a field trip to see a play. The students filled 1917 seats, which was 45% of the total number of seats in the theater. How many total seats were in the theater?

Answers

Answer:

4260 seats in the theater

Step-by-step explanation:

We write the equation 0.45x=1917, with x representing the total number of seats.

Multiply both sides by 100, we get 45x=191700.

Divide both sides by 45, we get x=191700/45

x=4260.

There are 4260 seats in the theater.

The total number of seats is the theater is 4,260.

Percentage:

The percentage is a ratio or fraction of 100 and can be calculated with the formula

Percentage = [tex]\frac{parts}{whole}.100[/tex]

How to calculate percentage?

Here we have given that the 1917 seats is 45% of the total seats

Let the total number of seats available in theater is = x

Then 45 % of x = 1917

0.45 x = 1917

Multiply both the sides by 100 we have

45 x = 1917x100

x = [tex]\frac{191700}{45}=4260[/tex]

The final answer is 4,260 seats

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Algebra 2
K.14
Write a quadratic function with zeroes 2 and 8.

Answers

Answer:

[tex]x^{2}[/tex] - 10x + 16

Step-by-step explanation:

If the 0s are 2 and 8, then the factors are (x - 2) and (x - 8)

Multiply them together to get [tex]x^{2}[/tex] - 10x + 16


If f (x) = 3x + 2 and g(x) = x2 – x, find the value.
-
f (2)+1

Answers

Answer:

......

Step-by-step explanation:

i could use help plz

Answers

6.7
+ 26.87
______
33.57

Answer:

   6.70

+26.87

 33.57

Step-by-step explanation:

Couldn't explain sorry

-hope it helps

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