jake drove 320km in the same time that jenna drove 360 km. if jenna drove on average 10km/h faster than jake, calculate her average speed. solve using a rational eqation.

Answers

Answer 1

Answer:

Jenna’s average speed is 90 km/h

Step-by-step explanation:

Here, we want to calculate Jenna’s average speed

Mathematically;

time = distance/speed

Let Jenna’s speed be x km/h

It means that Jake’s will be (x-10) km/h since Jenna’s speed is 10 km/h faster

Time taken for Jake is 320/(x-10)

Time taken for Jenna is 360/x

Since the time is equal;

Then;

320/(x-10) = 360/x

320(x) = 360(x-10)

320x = 360x - 3600

360x-320x = 3600

40x = 3600

x = 3600/40

x = 90 km/hour


Related Questions

How many 0.75 pound
packages can you make
with 9 pounds of popcorn

Answers

Answer:

12

Step-by-step explanation:

I just did 9 ÷ .75 = 12

Here is the last one.

Answers

$ 190.40 hope it he,lps.

Pleaseee help me with my math show work please I need the work

Answers

I'm sorry the photo is on a side. I'm too lazy to text it on here lol

The length of a rectangle measures (2x+7) inches, and its width measures (x−5) inches. If the perimeter of the rectangle is 40 meters. Find the dimensions (length & width) of the rectangle. Can someone help me pls

Answers

Answer:

x=4

length=13

width=-1

Step-by-step explanation:

Need help ASAP. Question is in picture.

Answers

Answer:

D

Step-by-step explanation:

D doesnot satisfy when numbers are substituted

Write the following equation in slope intercept form.

x-2y=42

y= x+

Answers

Answer:

Not sure but I'm gonna try

Step-by-step explanation:

x-2y=42

-2y=-x+42

y= (-x/2)+(42/2)

y=-x/2 + 21

The city of Atlanta plans to hold a parade after the Atlanta Falcons win the Super Bowl. They intend to allow fans to watch from the sidewalk on BOTH sides of Peachtree Street. The parade will be 2.5 miles long and the sidewalks are 8 feet deep. If the average person takes up 2.2 square feet of space, what is the estimate for the number of people who can attend the parade?Immersive Reader
(1 Point)
48,000 people
96,000 people
44,000 people
88,000 people
None of above

Answers

Answer:

96,000 people

Step-by-step explanation:

convert the length from miles to feet.

2.5 miles = 13,200 feet

Area = 13,200× 8

Area = 105,600 square feet

but the fans will be on both sides of the sidewalk,hence,

the area will be twice.

105,600 square feet ×2= 211,200 square feet.

1 fan = 2.2 square feet

x = 211,200 square feet

therefore number of fans will be = 96,000 people.

Katrina and her father put together a keepsake box for her mother.The dimensions of the rectangular base are 90 centimeters by 120 centimeters.To make sure the base is formed with right angles,they measured the diagonal to be 150 centimeters.

A.Explain how to determine if right angles exist without using a protractor.
B.Show all of the steps required to determine if the base has right angles.

Answers

You have to do length times width to get your answer 139

Answer:

Let's take a look at the lengths of the sides: 90, 120, 150. What do we notice here?

It's a 3:4:5 triangle.

90/30 = 3, 120/30 = 4, 150/30 = 5.

That the 2 triangles formed by line running diagonally through the base creates AT LEAST 2 right angles.

Since the total amount of degrees in a quadliateral is 360,

180(s-2)

And we know that there are 2 right angles which equals to 180 and the sides are all parallel to each other,

That must mean that the 2 remaining angles of the box add up to 180,

Therefore all angles are 90 degrees.

Point A has coordinates (3,4). After a translation 4 units left, a reflection across the x-axis, and a translation 2 units down, what are the coordinates of the image?

Answers

Answer:

The coordinates of the image of point A are (-1, -6)

Step-by-step explanation:

Let us revise the rule of translation to the left, down, and reflection across the x-axis

If the point (x, y) translated horizontally to the left by h units then its image is (x - h, y) ⇒ T (x, y) → (x - h, y)If the point (x, y) translated vertically down by k units then its image is (x, y - k) ⇒ T (x, y) → (x, y - k)If the point (x, y) reflected across the x-axis, then its image is (x, -y), the rule of reflection is rx-axis (x, y) → (x, -y)

∵ The coordinates of point A are (3, 4)

∵ It is translated 4 units left

h = 4

→ By using the 1st rule above

∴ Its image is (3 - 4, 4)

Its image is (-1, 4)

∵ Its is reflected across the x-axis

→ By using the 3rd rule above change the sign of its y-coordinate

The new image is (-1, -4)

∵ It is translated 2 units down

k = 2

→ By using the 2nd rule above

∴ The final image is (-1, -4 - 2)

The final image is (-1, -6)

The coordinates of the image of point A are (-1, -6).

Solve the equation by factoring 2x^2+x-6=0

Answers

Answer:

Step-by-step explanation:

Use the quadratic formula

=

±

2

4

2

x

=

b

±

b

2

4

a

c

2

a

x=2a−b±b2−4ac​​

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

2

2

+

6

=

0

2

x

2

+

x

6

=

0

2x2+x−6=0

=

2

a

=

2

a=2

=

1

b

=

1

b=1

=

6

c

=

6

c=−6

=

1

±

1

2

4

2

(

6

)

2

2

x

=

1

±

1

2

4

2

(

6

)

2

2

x=2⋅2−1±12−4⋅2(−6)​​

Answer:

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

Step-by-step explanation:

Given

2x² + x - 6 = 0

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 2 × - 6 = - 12 and sum = + 1

The factors are + 4 and - 3

Use these factors to split the x- term

2x² + 4x - 3x - 6 = 0 ( factor the firs/second and third/fourth terms )

2x(x + 2) - 3(x + 2) = 0 ← factor out (x + 2) from each term

(x + 2)(2x - 3) = 0

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

2x - 3 = 0 ⇒ 2x = 3 ⇒ x = [tex]\frac{3}{2}[/tex]

At the local coffee shop, they sell a reusable mug for $6. If you use the mug for a refill, the refill costs $1.30. Last month Jason spent $29.40 for the mug and refills. Which equation can be used to determine the number of refills, r, Jason purchased last month?

Answers

Answer:

r = 18

Step-by-step explanation:

6 + 1.30r = 29.40 [write out the equation]

-6 -6 [subtraction property of equality]

1.30r = 23.40

___ ____ [division property of equality]

1.30 1.30

r = 18

I hope it helps :)

Answer:

6 + 1.30r = 29.40

Step-by-step explanation:

I NEED HELP NOWWWWW AHHHHHHHHH IM SO DUMB AND THANK YOU FOR HELPING ME

Answers

Answer:

9

Step-by-step explanation:

someone help me on my homework before i lose my sanity pls its my most recent question im done <3

A circle has a circumference of 28.26 unites. What is the diameter of the circle?

Answers

Formula for finding Diameter with Circumference: d (diameter) = C (circumference) / π (pi = 3.14)

Since we know the Circumference of the circle (28.26) we can use the formula to find the Diameter of the circle

D = C/πD = 28.26/πD = 8.99543738355...D = 9 (Round it)9

The Diameter of the circle is 9

60 ft/s = ? Km/h
Please show me how to solve this.

Answers

Answer: 65.88 km/h

Step-by-step explanation:

When multiplying conversion factors, make sure the only remaining units are the desired units.

What is the value of x in the equation x^ 2 = 25 /64

Answers

Answer:

[tex] {x ^{2} = \frac{25}{64} } \\ x = \sqrt{ \frac{25}{64} } \\ x = \frac{5}{8} \: \: x = - \frac{5}{8} [/tex]

Which statement is true about the graph of
the function y = 3|x – 2| + 4?
A Its vertex is at (-6,0)
B Its vertex is at (-2, 4)
C Its vertex is at (2, 4)
D Its vertex is at (4,2)

Answers

The answer is C it’s vertex is at (2,4) because a quadratic formula is suppose to look like y= a ( x - h )^2 + k and the vertex is (h,k) when you look back at Your question h=-2 and but Bc of the formula then it’ll be h=2 and then k=4 and that’s how you get the vertex from a quadratic formula. Hope this helps :)

Find the next two numbers in the pattern. 5, −20, 80, −320, ...

Answers

Answer:

1280, -5120

Step-by-step explanation:

it gets multiplied by -4 every time

ILL GIVE BRAINLIST IF RIGHT ASAP

Answers

Answer:

Because the side lengths of the triangles are  proportional.

Step-by-step explanation:

I took geometry.

Mr. Hendricks is plotting equivalent ratios on a coordinate plane. One of the ordered pairs is (3,5) Which other ordered pair could he plot? O (4, 6) O (6,4) O (6, 10) O (10, 6)​

Answers

Answer:

(6, 10)

Step-by-step explanation:

(6, 10) because it can go in a straight line in the same rate.

Answer:

C)

Step-by-stec p explanation:

Which of the following statements is not true about the relationship

Answers

Answer:

C

Step-by-step explanation:

Please help me, giving brainliest.

Answers

I'm not sure what you want but the slope for each graph from left to right is 5, -7/8, -2.

The equation of each graph from left to right in slope intercept form is

y = 5x + 2, y = -7/8x - 11/8, y = -2x + 6.

A triangle has a base that measures 27 inches and a height that measures 18 inches. How many square inches are in this triangle?

Answers

The answer is 243 square inches.

Use the distributive property to simplify the expression, then combine like terms -12 - 5p +2(6p+p)

Answers

Answer:

-12 + 9p

Step-by-step explanation:

Original Equation:

-12 - 5p + 2(6p + p)

Distributive property.

2 x 6p = 12p

2 x p = 2p

Equation:

-12 - 5p + 12p + 2p

Subtract 5p from 12p

-12 + 7p + 2p

Add.

-12 + 9p

Hope this helped :)

Please consider Brainliest :)

A teacher instituted a new reading program at school. After 10 weeks in the​ program, it was found that the mean reading speed of a random sample of 19 second grade students was 90.7 wpm. What might you conclude based on this​ result? Select the correct choice below and fill in the answer boxes within your choice. ​(Type integers or decimals rounded to four decimal places as​ needed.)

Answers

Complete question is;

The reading speed of second grade students in a large city is approximately normal, with a mean of 91 words per minute (wpm) and a standard deviation of 10 wrpm. A teacher instituted a new reading program at school. After 10 weeks in the​ program, it was found that the mean reading speed of a random sample of 19 second grade students was 90.7 wpm. What might you conclude based on this​ result? Select the correct choice below and fill in the answer boxes within your choice. ​(Type integers or decimals rounded to four decimal places as​ needed.)

Answer:

We would conclude that the new program doesn't seem to be more effective than the old program.

Step-by-step explanation:

We are given;

Population mean; μ = 91

Population standard deviation; σ = 10

Sample mean; x¯ = 90.7

Sample size; n = 19

Formula for z-score

z = (x¯ - μ)/(σ/√n)

z = (90.7 - 91)/(10/√19)

z = -0.131

From online p-value from z-score calculator attached, using z = -0.131; significance level = 0.05; one tailed, we have;

P-value = 0.4479

This is more than the significance level of 0.05. Thus, we would conclude that the new program doesn't seem to be more effective than the old program.

Given ΔGHJ, complete the following statements. The included angle of sides JG and GH is angle . Angle H is the opposite angle to side . The side opposite to ∠J is side .

Answers

Answer:

G , JG, GH are the answers

Step-by-step explanation:

I’m so sorry the wretarded Billie Eyelash Stan couldn’t answer your question the first time :( but luckily my awesome smartness came along and gave you the answer, yes, yes. no problem anytime ;)

Answer:

G , JG, GH are the answers

Step-by-step explanation:

i just did it 100%

2/5 of the class of 30 students are wearing red t-shirts today. How many student are wearing red t-shirts?

Answers

Answer:

12

Step-by-step explanation:

30 divided by 5 then you have six so everyone 1/5 is 6 and 2/5 is wearing red so then 2/5 is 12

Answer:

12 students are wearing red t-shirts.

Step-by-step explanation:

√(54a^-4÷6a^-8) solve this Indices question.​

Answers

Answer:

3a^2

Step-by-step explanation:

solve as follows by using the laws of indices

Index or indices determines how many times a phrase has been multiplied by itself. The value of the given indices expression will be 3a².

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The radical is the symbol that is used to represent the root in the expression n√x, while an index or indices determines how many times a phrase has been multiplied by itself, it is represented by a tiny number in the superscript form.

The given indices expression can be solved as shown below.,

[tex]\sqrt{\dfrac{54a^{-4}}{6^{-8}}}[/tex]

[tex]= \sqrt{\dfrac{54(a^{-4})(a^{8})}{6}}[/tex]

[tex]= \sqrt{\dfrac{54(a^{-4+8})}{6}}\\\\= \sqrt{\dfrac{54(a^4)}{6}}[/tex]

= √(9a⁴)

=√(3a²)²

= 3a²

Hence, the value of the given indices expression will be 3a².

Learn more about Expression here:

https://brainly.com/question/13947055

#SPJ2

HELP PLEASE!!! - Uranus is about 1.784109 miles from the Sun. About how far is Uranus from Mercury?

Answers

Answer:

About 1,749,638,696 miles.

Step-by-step explanation:

It might be incorrect so don't fully trust me.

If the triangles are similar, then the value of x is (blank) and the value of y is (blank)
I REALLY NEED HELP PLZZZ

Answers

Answer:

([tex]x[/tex], [tex]y[/tex]) = (30, 16)

Step-by-step explanation:

First find the similarity

Since you know the legnth of the hypotenuse (the longest one) for both traingles, you can find the similarity by dividing the longer by the shorter:

50 ÷ 20 = 2.5

The similarity between the 2 triangles is 2.5.

Now find the length of [tex]x[/tex] on the longer one, use the shorter one's length and the similarity:

12 × 2.5 = 30

So the length of [tex]x[/tex] is equal to 30

Now lets find [tex]y[/tex], lets use the length of the larger triangle this time and divide the length of the longer leg (there are 2 legs in every triangle, if you don't know the hypotenus's length, use the pythagorean theorem) and divide it by the similarity:

40 ÷ 2.5 = 16

[tex]y[/tex] = 16

WooHoo! ([tex]x[/tex], [tex]y[/tex]) = (30, 16)

evaluate this please​

Answers

Answer:

17

Step-by-step explanation:

for f(6).

[tex]f(6) = - 3 \times 6 + 1 = 17[/tex]

Answer:

17

Step-by-step explanation:

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