Gabrielle went on a 72 mile trip to a soccer game. On the way back, due to road construction she had to drive 18 miles per hour slower. This made the trip take 9 hours longer. How fast did she drive to the soccer game?

Answers

Answer 1

Answer:

Gabrielle drove to the soccer game at the speed of 18 miles/hour

Step-by-step explanation:

Given: Distance covered = 72 miles

On the way back, she had to drive 18 miles per hour slower due to road construction which made the trip take 9 hours longer.

To find: speed

Solution:

Let speed be x miles/hour

Time taken = distance covered/time taken = [tex]\frac{72}{x}[/tex]  hours

On the way back, she had to drive 18 miles per hour slower due to road construction

So, new speed = ( x - 18 ) miles/hour

Time taken as per new speed = [tex]\frac{72}{x-18}[/tex]  hours

According to question,

[tex]\frac{72}{x-18}-\frac{72}{x}=9\\\frac{1}{x-18}-\frac{1}{x}=\frac{9}{72}\\\frac{x-x+18}{x(x-18)}=\frac{1}{8}\\x^2-18x-144=0\\x^2-24x+6x-144=0\\x(x-18)+6(x-18)=0\\(x-18)(x+6)=0\\x=18\,,\,-6[/tex]

Being a speed, x can not be negative. So, [tex]x=-6[/tex] is rejected

So,

Gabrielle drove to the soccer game at the speed of 18 miles/hour


Related Questions

Have a great wonderful fantastic amazingggg dayyyy!!!​

Answers

Answer: 176m^2

Step-by-step explanation:

The smaller rectangle is taking up space among the larger one. So in order to find the area of this shaded region, you need to subtract that smaller one from the larger one.

12 x 15 = 180

1 x 4 = 4

180 - 4 = 176m^2

Answer:

44

Step-by-step explanation:

To start you have to calculate the perimeter of the white box. 1 times 2 is 2. 4 times two is 8. 8 plus 2 is 10. Then you have to find the perimeter of the purple box. 12 times 2 is 24. 15 times 2 is 30. 24 plus 30 is 54. After that you have to subtract to get the final answer. 54 minus 10 in 44. 44 is the final answer.

Someone please help me! I need this done ASAP

Answers

Answer: ill try to do #3 for you

A. money= dependent (depends on days)

days= independent

B. im guessing its this: m=250d

C. $250x 10 days= $2,500 he will need to save

also #4 is y-2x-2

if this is all correct could u mark my answer brainliest if you want to thanks!

Find the value of x

Answers

Answer:

The answer is 9

Step-by-step explanation:

56+(3x+7)=90 (In the picture it shows a 90 degree angle.)

Then, you can start solving the equation.

90-56=34

3x+7=34  (Subtract by 7)

3x=27 (Divide by 3 on both sides)

x=9

Please help! Correct answer only! This assignment is due today.
Lester teaches a ceramics class on the weekends. In Sunday's class, the students created 19 clay objects, 12 of which were vases. After each class, Lester bakes the clay objects in a hot kiln to harden them. Students pick up their finished pieces later in the week.
If Lester randomly chose 16 clay objects to bake in the kiln Sunday night, what is the probability that exactly 11 of the chosen clay objects are vases?

Write your answer as a decimal rounded to four decimal places.

Answers

Answer: Lester gets about 400 k - 700k in casino hiest

Step-by-step explanation:

PLS HELP ME WITH THIS

Answers

Answer:

so the answer is the second one. Hope this working helps

Find Sn for the given arithmetic series.
Q1 = -40, d =-7, n=22

Answers

Answer:

[tex]S_n =[/tex] -2497

Step-by-step explanation:

We are given an arithmetic series with the following terms:

First term, [tex]Q_1[/tex] = -40

Common difference, d = -7

Number of terms, n = 22

To find out: Sum of n terms, where n is 22

We know that Sum of n terms in an arithmetic series is given as:

[tex]S_n =\dfrac{n}{2} (2Q_1+(n-1)d)[/tex]

Putting the values in the formula:

[tex]S_{22} = \dfrac{22}{2} (2 \times -40+(22-1)\times (-7))\\\Rightarrow S_{22} = 11 \times (-80-147)\\\Rightarrow S_{22} = 11 \times (-227)\\\Rightarrow S_{22} = -2497[/tex]

So, the sum of 22 terms is -2497.

Help please! if you answer correctly i will give brainliest

Answers

Answer:

lesser x =1

greater x = 3

Step-by-step explanation:

x^2 -4x+3 =0

Factor

What two numbers multiply to -3 and add to -4

-3*-1 = 3

-1+-1 = -4

(x-3)(x-1) =0

Using the zero product property

x-3 =0   x-1 =0

x=3  x=1

Answer:

lesser x = 1

greater x = 3

Step-by-step explanation:

x^2 - 3x - x + 3 = 0

x(x - 3) - 1(x - 3) = 0

= (x - 3)(x - 1) =0

= x = 3, 1

Hope this helps!

I need help with this question please

Answers

Answer:

The exact length of the third side would be 9.

Step-by-step explanation:

To find the length of the triangle, just add the height (6) and the base (3) which equals 9.


A bag has the following 10 colored stones in it. There are 2 red, 2 blue, 1 orange, 2 purple and 3 green stones. What is the probability of a green stone?

Answers

Answer:

30%

Step-by-step explanation:

Think of the 10 as 100%. 2 as 20% and so on. The green makes up 30%.

Which statement is true about quadrilateral QRST? Side QR has a length of 5 units. Side RS has a length of units. Side ST has a length of 6 units. Side TQ has a length of units.

Answers

Answer: side TQ 17 units

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

PLEASE HELP WILL MARK BRAINLIEST

Answers

Answer:

Each pendant = 3.60

Step-by-step explanation:

3 necklaces made of beads and pendants

The total is 20.10

20.10 = 3( beads + pendant)

Distribute

20.10 = 3 beads + 3 pendant

The total for the beads is 9.30

Replace the 3 beads  with 9.30

20.10 = 9.30+ 3 pendant

Subtract 9.30 from each side

20.10-9.30 = 9.30+ 3 pendant - 9.30

10.80 = 3 pendant

Divide each side by 3

10.80/3 = 3 pendant/3

3.60 = pendant

what is the constant of proportionality for y=5/8x

Answers

Answer: 5/8

Step-by-step explanation:

Answer:

k = [tex]\frac{5}{8}[/tex]

Step-by-step explanation:

The standard form of an equation representing proportion is

y = kx ← k is the constant of proportionality

y = [tex]\frac{5}{8}[/tex] x ← is in this form

with k = [tex]\frac{5}{8}[/tex]

A car costs £15000. Work out the price after a 13% discount.

Answers

Answer:

13, 050

Step-by-step explanation:

15,000 by 13% = 1,950

15,000-1,950= 13, 050

How many square roots is the area ?

Answers

I think their 5 but I’m not sure

What is the equation of the translated function, g(x), if
f(x) = x??

Answers

Answer:

There is not enough information to solve. We need some more information to solve this question. The best we can do is

g(x) = g(f(x))

(05.09A LC)

A pair of parallel lines is cut by a transversal, as shown below:

A pair of parallel lines is cut by a transversal. The interior angle made on the left by the intersection of the upper parallel line and the transversal is labeled as x. The interior angle made on the right by the intersection of the lower parallel line and the transversal is labeled as y.

Which of the following best represents the relationship between angles x and y?

A) x = y
B) x = 180°-y
C) y = 180°-6
D) x = 2y

Answers

Answer:

A

Step-by-step explanation:

Because these angles are alternate interior angles and because alternate interior angles of parallel lines are equal, x = y.

On a particular day in July, there is a 20% probability of rain in Vancouver, a 65% probability of rain in Calgary, and a 75% probability of rain in Saskatoon. What is the probability that it will rain in all 3 cities on that day?

Answers

Answer:

The probability that it will  rain in all 3 cities on that day

P(V∪ C∪S) = 0.93 = 93%

Step-by-step explanation:

Let 'V' be the event of  rain in Vancouver

Given that the probability of rain in Vancouver

             P( V) = 20% = 0.20

             P( V⁻) = 1- P( V) = 1 - 0.20 =0.80

Let 'C' be the event of  rain in Calgary

Given that the probability of rain in Calgary

             P( C) = 65% = 0.65

            P( C⁻) = 1- P( C) = 1 - 0.65 =0.35

Let 'S' be the event of  rain in Saskatoon

Given that the probability of rain in Saskatoon

             P( S) = 75% = 0.75

             P( S⁻) = 1- P( S) = 1 - 0.75 =0.25

First we will prove that the probability that it will not rain in all 3 cities on that day

P( V⁻ ∩  C⁻ ∩  S⁻  ) =  P( V⁻) P( C⁻) P(S⁻)

                              =  0.80 × 0.35 × 0.25

                             = 0.07

The probability that it will  rain in all 3 cities on that day

P(V∪ C∪S) = 1-(P( V⁻ ∩  C⁻ ∩  S⁻  )

                   = 1 - 0.07

                  = 0.93

identify the expression as a numerical expression or a variable expression.For variable expression, name the variable 1×12​

Answers

Answer:

o7 fy hk hpxi oyli ifuod pir8

I WILL MARK YOU BRAINLIEST!!!!! What is the slope of the linear parent function?

Answers

Answer:

Step-by-step explanation:

The slope would be determined either by a graph or a equation

you didn't put it in the  picture...

A jar contains 4 red marbles, 6 blue marbles, 3 yellow marbles, and 5 green marbles. If one marble is randomly selected, what is the probability that it is red or green?

Answers

Answer:

1/2

Step-by-step explanation:

4 red marbles, 6 blue marbles, 3 yellow marbles, and 5 green = 18 marbles

P( red or green) = red or green / total

                          = (4+5) / 18

                          = 9/18

                          =1/2

Answer:

50%

Step-by-step explanation:

4 red + 5 green = 9 marbles

total marbles = 18 marbles

9 is 50% of 18

Which expressions are equivalent to select three option. HURRY PLZ

Answers

Answer:

[tex] \sqrt{2^{2} } * \sqrt{2^{2} } * \sqrt{2} * \sqrt{5} * \sqrt{7} * \sqrt{y^{2} } * \sqrt{y} [/tex]

[tex] 2*2*y\sqrt{2*5*7*y} [/tex]

[tex] 4y\sqrt{70y} [/tex]

Step-by-step Explanation:

To find the expressions that are equivalent to

[tex] \sqrt{1,120y^{3} } [/tex]

let's simplify each of the options given to know if we would arrive at

[tex] \sqrt{1,120y^{3} } [/tex]

Option 1:

[tex] \sqrt{2*2*2*2*5*7*y*y} [/tex]

[tex] \sqrt{(2*2*2)*(2*5)*(7)*(y*y)} [/tex]

[tex] \sqrt{8*10*7*y^{2} } [/tex]

[tex] \sqrt{560y^{2} } [/tex]

Not equivalent to the given expression.

Option 2:

[tex] \sqrt{2^{2} } * \sqrt{2^{2} } * \sqrt{2^{2} } * \sqrt{5^{2} } * \sqrt{7^{2} } * \sqrt{y^{2} } * \sqrt{y^{2} } [/tex]

[tex] 2 * 2 * 2 * 5 * 7 * y * y [/tex]

[tex] 8*5*7*y*y [/tex]

[tex] 280y^{2} [/tex]

Not equivalent to the given expression.

Option 3:

[tex] \sqrt{2^{2} } * \sqrt{2^{2} } * \sqrt{2} * \sqrt{5} * \sqrt{7} * \sqrt{y^{2} } * \sqrt{y} [/tex]

[tex] 2 * 2 * \sqrt{2} * \sqrt{5} * \sqrt{7} * y * \sqrt{y} [/tex]

[tex] 2 * 2 * y * \sqrt{2} * \sqrt{5} * \sqrt{7} * \sqrt{y} [/tex]

[tex] 4y * \sqrt{2 * 5 * 7 * y} [/tex]

[tex] \sqrt{16y^{2} } * \sqrt{70y} [/tex]

[tex] \sqrt{16 * y^{2} * 70 * y } [/tex]

[tex] \sqrt{16 * 70 * y^{2} * y } [/tex]

[tex] \sqrt{1,120y^{3} } [/tex]

This option is equivalent.

Option 4:

[tex] 2*2*y\sqrt{2*5*7*y} [/tex]

[tex] 4y\sqrt{70y} [/tex]

[tex] \sqrt{16y^{2} } * \sqrt{70y} [/tex]

[tex] \sqrt{16 * y^{2} * 70 * y } [/tex]

[tex] \sqrt{1,120y^{3} } [/tex]

This option is equivalent to the given expression.

Option 5:

[tex] 4y\sqrt{70y} [/tex]

[tex] \sqrt{16y^{2} } * \sqrt{70y} [/tex]

[tex] \sqrt{16y^{2} * 70 * y} [/tex]

[tex] \sqrt{16 * 70 * y^{2} * y} [/tex]

[tex] \sqrt{1,120y^{3} } [/tex]

Equivalent!

Options 3, 4 and 5 are the 3 expressions equivalent to

[tex] \sqrt{1,120y^{3} } [/tex]

Answer:C D E

Step-by-step explanation:

Just did the test

How many cubes eith side lengths of 1/4 cm does it take to fill the prism? Please help

Answers

Step-by-step explanation:

In order to find Volume for a rectangle use the formula: L * W * H

2 1/4 * 3/4 * 1 1/4 = 2 7/64

A cube with the side lengths of 1/4:   1/4 * 1/4 * 1/4 = 1/64

Divide 1/64, by the prisms volume, 2 7/64 to get 135.

I'm not sure if this is right, but I hope that helps! :)

What is the experimental probability that a 10th-grade student chosen at random has at least one, but no more than two, siblings? Round to the nearest whole percent. 65% 70% 75% 80%

Answers

Answer:

the experimental probability is 70%

Step-by-step explanation:

PLEASE HELP, TIMEDThe table shows the results of a survey in which 10th-grade students were asked how many siblings (brothers and/or sisters) they have.

What is the experimental probability that a 10th-grade student chosen at random has at least one, but no more than two, siblings?

To the nearest whole percent, the experimental probability is

a. 65%.

b. 70%

c. 75%

d. 80%

We are given to find

the experimental probability that a 10th-grade student chosen at random has at least one, but no more than two, siblings

we know that

probability = ( number of favourable outcomes)/ ( total possible outcomes)

a 10th-grade student chosen at random has at least one, but no more than two, siblings

so, there can be one or two siblings

so, total number of such students =18+10=28

Number of favourable outcomes =28

total number of students =4+18+10+8=40

so, total favourable outcomes =40

now, we can find probability

[tex]p=\frac{28}{40}\\\\p=\frac{28}{40}\times 100\\\\p=70[/tex]

So,

Therefore, the experimental probability is 70%

Answer:

answer is B

or 70%

Pamela and her friend Nicole are each baking apple pies and tarts for a bake sale, using the same recipes. Pamela baked 5 apple pies and 7 apple tarts, using a total of 68 apples. Nicole made 5 apple pies and 9 apple tarts, which used 76 apples. How many apples does each dessert require?

Answers

Answer:

Each apple pie requires 8 apples, and each apple tart requires 4 apples.

Step-by-step explanation:

We see that both Pamela and Nicole bake the same amount of apple pies, but different amounts of apple tarts. Because of this, we can subtract the two to try to figure out the amount of apples for each apple tart. We subtract 68 from 76, giving us 8. Nicole baked 9 apple tarts, while Pamela baked 7, and 9-7=2. So we can bake two apple tarts with 8 apples, so one apple tart requires 4 apples (we divide by 2). Now that we know the amount of apples per each apple tart, we multiply 7 apple tarts that Pamela made by 4 apples, giving us 28. We subtract that from the total amount of apples Pamela used, which was 68, giving us 40. From this we can deduct that 5 apple pies need 40 apples, and we divide by 5, giving us 1 apple pie requires 8 apples.

A healthy human body is approximately 18% carbon by weight. Determine how many pounds of carbon a body weighing 200 lbs contains. How many kilograms would that be? Use 0.454 kg equals 1 lb in your conversion. A. 440 lb. Of carbon; 16 kg of carbon b. 36 lb. Of carbon; 79 kg of carbon c. 36 lb. Of carbon; 16 kg of carbon d. 440 lb. Of carbon; 79 kg of carbon

Answers

Answer:

c. 36 lb. Of carbon; 16 kg of carbon

Step-by-step explanation:

An healthy body is approximately 18% carbon by weight. To determine how many pounds of carbon a body weighing 200Ibs contain can be gotten below.

A healthy person has approximately 18% carbon by weight. Therefore, the number of pounds of carbon for a person weighing 200 Ibs is

pounds of carbon = 18/100 × 200

pounds of carbon = 36 Ibs

According to the question the weight should be in kg.Therefore, we have to convert using the conversion rate you highlighted.

1 Ib = 0.454 kg

36 Ibs = ? kg

cross multiply

weight of carbon in kg = 0.454 × 36

weight of carbon in kg = 16.344 kg

weight of carbon in kg ≈ 16 kg

How do I solve this?

Answers

A=bh/2

A=2/3ft*3/5ft/2

A=2/3×5/5*3/5×3/3/2

A=10/15*9/15/2

A=90÷15/2

A=6ft^2

Answer:

The area of triangle is 1/5 feet².

Step-by-step explanation:

You have to use area of triangle formula, A = 1/2×height×base. Then substitute the following values into the formula :

[tex]area = \frac{1}{2} \times height \times base[/tex]

Let height = 3/5,

Let base = 2/3,

[tex]area = \frac{1}{2} \times \frac{3}{5} \times \frac{2}{3} [/tex]

[tex]area = \frac{1}{2} \times \frac{1}{5} \times \frac{2}{1} [/tex]

[tex]area = \frac{1}{2} \times \frac{2}{5} [/tex]

[tex]area = \frac{1}{5} {feet}^{2} [/tex]

find the coordinates of the vertices of the triangle after a reflection across the line y= 3 and then across the line x = -1​

Answers

Answer:  A

Step-by-step explanation:

Reflection across y = 3

The simplest way to calculate the new coordinates is to draw y = 3, count how many units away the point is from y = 3, then count the same number of units from y = 3 in the OPPOSITE direction to find the reflection. (see attachment - blue color)

U = (-5, 4) is 1 unit above y = 3

U' = (-5, 2) is 1 unit below y = 3

T = (0, 5) is is 2 units above y = 3

T' = (0, 1) is 2 units below y = 3

S = (-4, 2) is 1 unit below y = 3

S' = (-4, 4) is 1 unit above y = 3

Reflection across x = -1

The simplest way to calculate the new coordinates is to draw x = -1, count how many units away the point is from x = -1, then count the same number of units from x = -1 in the OPPOSITE direction to find the reflection. (see attachment - red color)

U' = (-5, 2) is 4 units to the left of x = -1

U'' = (3, 2) is 4 units to the right of x = -1

T' = (0, 1) is 1 unit to the right of x = -1

T'' = (-2, 1) is 1 unit to the left of x = -1

S' = (-4, 4) is 3 units to the left of x = -1

S'' = (2, 4) is 3 units to the right of x = -1

Does anyone know the answer ?

Answers

Answer:

Using Piragorean Theorem:

[tex]x=\sqrt{7^2+10^2}=\sqrt{100+49}=\sqrt{149}[/tex]

Answer:

[tex]\sqrt{149[/tex]

Step-by-step explanation:

7² + 10² = 12.21²

49 + 100 = 149

Someone please help ASAP

Answers

Answer:

5050

Step-by-step explanation:

To solve via calculator, go to the MATH menu, then the 0th option should say "summation" and insert it from there.

To solve algebraically, break the summation into 2 parts. Excuse the strange formatting, I can't find a way to do it normally.

4([tex]\frac{50}{1}[/tex]∑n) -

= 4( [tex]\frac{50(50+1)}{2}[/tex]) - 50(1)

= 5100 - 50

= 5050


Which function is graphed on the right?

Answers

There is no picture ; - ;

Answer:

its C

Step-by-step explanation:

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