Grace and Hannah are both driving along the same highway in two different cars to a stadium in a distant city. At noon, Grace is 250 miles away from the stadium and Hannah is 306 miles away from the stadium. Grace is driving along the highway at a speed of 40 miles per hour and Hannah is driving at speed of 54 miles per hour. Let GG represent Grace's distance, in miles, away from the stadium tt hours after noon. Let HH represent Hannah's distance, in miles, away from the stadium tt hours after noon. Write an equation for each situation, in terms of t,t, and determine the number hours after noon, t,t, when Grace and Hannah are the same distance from the stadium.

Answers

Answer 1

Answer:

Step-by-step explanation:

Grace: -40t+250

Hannah: -54t+306

-40t+250 = -54t+306

SOLVE THE EQUATION ABOVE

t=4

Answer 2

The total number of hours afternoon when Grace and Hannah are the same distance from the stadium is 4 and this can be determined by forming the linear equations.

Given :

Grace is 250 miles away from the stadium and Hannah is 306 miles away from the stadium. Grace is driving along the highway at a speed of 40 miles per hour and Hannah is driving at speed of 54 miles per hour.

The following steps can be used in order to determine the number of hours afternoon when Grace and Hannah are the same distance from the stadium:

Step 1 - According to the given data, 'G' represents Grace's distance, in miles, away from the stadium and 'H' represents Hannah's distance, in miles, away from the stadium.

Step 2 - The linear equation that represents Grace's distance from the stadium is:

[tex]G = 250-40t[/tex]

Step 3 - The linear equation that represents Hannah's distance from the stadium is:

[tex]H = 306 - 54t[/tex]

Step 4 - The value of 't' when Grace and Hannah are the same distance from the stadium is:

[tex]306-54t = 250-40t[/tex]

Step 5 - Simplify the above expression.

[tex]56=14t[/tex]

[tex]\rm t = 4\;hr[/tex]

So, the total number of hours afternoon when Grace and Hannah are the same distance from the stadium is 4.

For more information, refer to the link given below:

https://brainly.com/question/11897796


Related Questions

Find the x-intercept of the graph of y = -10x - 36


The x-intercept is_____

Answers

The answer is 10 I think maybe

Is 0.88 a terminating decimal

Answers

yes
hope this helped you

Answer:

no

Step-by-step explanation:

its a equation not a decimal making it false.

Adrian bought 20 chicken wings for $44.00. How much does each wing cost?

Answers

Answer:

my crushes name is Adrian but the answer is $2.20

Step-by-step explanation:

Which expressions are equivalent to 5 the power of 18

Answers

Answer:

3.8146973e+12

Step-by-step explanation:

you have to do 5x5 18 times to get this answer.

Answer:

The two on the top

A line passes through the point (-6,6) and has a slope of 3/2.

Answers

Answer:

y=3/2x+15

Step-by-step explanation:

Answer:

y=3/2+15

Step-by-step explanation:

Find the rate of change in the graph

Answers

Answer:

4/3

hope this helped :)

NEED HELP PLEASE IM BEGGING YOU PLEASE!!!!
THANK YOU ;)

Answers

Answer:

Step-by-step explanation:

7 ) -3p=-48

p=-48/-3

p=16

8) -98=7t

t=-98/7

t=-14

9) -4.4 y =-4

y=-4/-4.4

y=1.1

10) 2.8 c=4.2

c=4.2/2.8

c= 1.5

Write the equation of the line that passes through the points (-3, -7) and (-3,-4) put your answer in fully reduced point slope form unless it is a vertical or horizontal line

Answers

Answer:

the equation is x=-3

Step-by-step explanation:

no matter what, the x values are the same, if you have the same values in the same line, it is most likey a vertical line

Examine the diagram. It is not drawn to scale.
In the diagram shown, mZ1 = 30° and m25 = 120°.
What is the sum of the measures of 24, 25, and 26?
4
1
2
5
on
degrees
Identify the following angle measures.
m22= v degrees
m24 =
v degrees
3
3
m26 =
v degrees
6

Answers

Answer:

Examine the diagram. It is not drawn to scale.

A triangle has angles 1, 2, 3. The exterior angle to angle 1 is 4, to angle 2 is 5, to angle 3 is 6.

In the diagram shown, m∠1 = 30° and m∠5 = 120°.

What is the sum of the measures of ∠4, ∠5, and ∠6?

✔ 360

degrees

Identify the following angle measures.

m∠2 =  

✔ 60

degrees

m∠4 =  

✔ 150

degrees

m∠6 =  

✔ 90

degrees

Step-by-step explanation:

Examine the diagram. It is not drawn to scale.

In the diagram shown, mZ1 = 30° and m25 = 120°.

What is the sum of the measures of 24, 25, and 26?

4

1

2

5

on

degrees

Identify the following angle measures.

m22= v degrees

m24 =

v degrees

3

3

m26 =

v degrees

6

I HOPE YOU GET IT RIGHT IK ITS THE ANSWERS I ALWAYS DO IT!!!!!!❤

The values of m∠2, m∠4 and m∠6 are 60°, 150° and 90° respectively.

What is an angle?

An angle is formed from the intersection of two or more lines. Angles less than 90 degrees are called acute angles, angles greater than 90° are called obtuse angles while angles with a measure of 90° are called right angles.

From the diagram:

m∠1 + m∠4 = 180° (sum of angles in a straight line)

30 + m∠4 = 180°

m∠4 = 150°

m∠2 + m∠5 = 180° (sum of angles in a straight line)

120 + m∠2 = 180°

m∠2 = 60°

m∠1 + m∠2 + m∠3 = 180° (sum of angles in a triangle)

30 + 60 +  m∠3 = 180°

m∠3 = 90

m∠3 + m∠6 = 180° (sum of angles in a straight line)

90 + m∠6 = 180°

m∠6 = 90°

The values of m∠2, m∠4 and m∠6 are 60°, 150° and 90° respectively.

Find out more on angle at: https://brainly.com/question/25770607

-4/7 + (-4/3) HELP ME

Answers

Answer:

-40/21

Step-by-step explanation:

(-4/7) + (-4/3) =

First you need to find a common denominator:

(-4/7)(3/3) + (-4/3)(7/7) =

(-12/21) + (-28/21) =

Then combine the two fractions:

(-40/21)

And because you cannot simplify further, you are finished.

Sharonda uses a blend of dark chocolate and milk chocolate to make the ice cream topping at her restaurant. She needs to buy 120\,\text{kg}120kg120, start text, k, g, end text of chocolate in total for her next order, and her recipe calls for twice the amount of dark chocolate as milk chocolate. Let ddd be the number of kilograms of dark chocolate she buys and mmm be the number of kilograms of milk chocolate she buys.

Answers

Step-by-step explanation:

ATQ,

Let d be the number of kilograms of dark chocolate she buys and m be the number of kilograms of milk chocolate she buys.

She needs to buy 120 kg of chocolate in total for her next order, and her recipe calls for twice the amount of dark chocolate as milk chocolate.

So,

m = 2d .....(1)

m + d = 120 ...(2)

We can also solve the above equations,

Put m = 2d in equation (2)

2d + d = 120

3d=120

d = 40

Put d = 40 in equation (1)

m = 2(40)

m = 80

Hence, she will need 40 kg of dark chocolate and 80 kg of milk chocolate.

Answer:

d+m=120

d=2m

Step-by-step explanation:

The solution of 12x+12=8x is?

Answers

Answer:

x = - 3

Step-by-step explanation:

Solve by isolating x on one side of the equation.

12x+12=8x

     -12    -12

12x=8x-12

      -8x

4x=-12

4x/4=-12/4

x = - 3

Juanita wants to model the equation 3 x + 2 = negative x + 6. She begins with the tiles below. 3 x tiles and 2 positive 1 tiles = 1 negative x tile How can Juanita complete her model? Put 4 yellow unit tiles on the left side of the equal sign. Put 4 yellow unit tiles on the right side of the equal sign. Put 6 green x-tiles on the right side of the equal sign. Put 6 yellow unit tiles on the right side of the equal sign.

Answers

Answer:

Put 6 yellow unit tiles on the right side of the equal sign.

Step-by-step explanation:

Given the equation that Juanita wants to model expressed by the equation

3 x + 2 = -x + 6

If she begins with 3 x tiles and 2 positive 1 tiles = 1 negative x tile, she will b=need to complete her model with put 6 yellow unit tiles on the right side of the equal sign since the only value left at the right hand side of the equation is positive 6

We can as well calculate the value of x from the expression as shown;

3 x + 2 = -x + 6

collect like terms

3x+x = 6-2

4x = 4

Divide both sides by 4

4x/4 = 4/4

x = 1

Answer:

the answer is D put 6 yellow unit tiles

Step-by-step explanation:

i took the test review and test

Tatianna withdrew $20 from her bank account 3 times.how much did her account change? write your answer as an integer.

Answers

Answer:

$216

Step by step

Explanation:

First we subtract  $ 20 from  $ 84  giving us a total of  $ 64 and when we add that to  $ 152  we get  $ 216

.

Answer:

-60

Step-by-step explanation:

10) Choose the correct answer.
Simple Inequalities:



please help

Answers

Answer: your picture doesnt have all the options for the answer but the first two are incorrect. The correct one would have both little dots filled in with black

Step-by-step explanation:

Answer: 3 ≤ x ≤ 7

Step-by-step explanation:

The number line will have a filled in circle at 3 and a filled in circle at 7.

A filled in circle indicates that the number IS a solution.

An open circle indicates that the number is NOT a solution.

Hope this helps!

Five cards are numbered 1 through 5. The back of each card is identical. The cards are mixed up and placed faced down. A person randomly flips over three cards and determines the sum of the three exposed cards. What is the probability that the sum is odd?

Answers

The percentage is 70%

Why is it that when comparing a squares area with a rectangles area, with the SAME PERIMETER, that the square has a greater area?

Answers

s = side length of square

4s = perimeter of square

L = length of rectangle

W = width of rectangle

P = 2L+2W = perimeter of rectangle

4s = 2L+2W .... since we want the perimeters the same

4s = 2(L+W)

s = 0.5(L+W)

s^2 = (0.5(L+W))^2 ... square both sides

s^2 = 0.25(L+W)^2

The last equation shows the area of the square, s^2, in terms of L and W. This way we can connect the square to the rectangle.

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

The area of the rectangle is LW

Let's subtract this from the area of the square and see what we get

A = area of square = s^2

B = area of rectangle = LW

C = difference in area

C = A - B

C = s^2 - LW

C = 0.25(L+W)^2 - LW

C = 0.25(L^2+2LW+W^2) - LW

C = 0.25L^2+0.5LW+0.25W^2-LW

C = 0.25L^2-0.5LW+0.25W^2

C = 0.25(L^2-2LW+W^2)

C = 0.25(L-W)^2

Regardless of what we pick for L and W, the expression (L-W)^2 is always positive. Squaring a negative number leads to a positive result.

So C is always positive as long as [tex]L \ne W[/tex]

If C > 0, and C = A - B, then

C > 0

A-B > 0 .... replace C with A-B

A > B .... add B to both sides

This shows the square area is always larger than the rectangle.

Again this only works if L and W are different values. If L = W, then the argument falls apart because the rectangle becomes the square.

We make [tex]L \ne W[/tex] to have a nonsquare rectangle.

yo, i need some help :/
What is the domain of the function represented by the table?
A). all real numbers
B). x greater-than-or-equal-to 0
C). all integers greater than or equal to zero
D). {5, 10, 15, 20, 25}

Answers

Where the picture? Don’t answer this but I guessing is C

How many 4-letter “words” can be made using all the letters in BEEP, if the two Es are indistinguishable? Two such “words” to include are BEEP and EBEP.

Answers

Answer:

10

BEEP

BPEE

BEPE

EEPB

EEBP

EBEP

EPEB

PBEE

PEEB

PEBE

Answer:

12

Step-by-step explanation:

4! is 4*3*2*1

since there were 4 letters 4 could be chosen at the first letter

since one of the letters were chosen only 3 could be chosen as the second letter

and then it is 2 because there are 2 letters left

and 1 because there is only 1 letter left

so 4!

Then you divide by 2 because the 2 es are indistinguishable

Can someone please give me a free disney plus account

Answers

Answer:

Uh- I cant ;w;

Step-by-step explanation:

Answer:

yes I can if you still want one

Step-by-step explanation:

Me after jumping in joy after I found out Netflix is facing criminal charges

Answers

lol same tbh even tho ion  have netflix anymore

A kennel has 40 dogs and 10 cats. What is the ratio of cats to ALL of
the animals?

Answers

Answer:

1:5

Step-by-step explanation:

The correct answer is 40:10 or 4:1 rounded

rrange the numbers in decreasing order.



a.

8.508

8.58

7.5

7.058

Answers

Answer:

8.58

8.508

7.5

7.058

Step-by-step explanation:

Answer:

8.58, 8.508, 7.5, 7.058

Step-by-step explanation:

Um, I think this means greatest to least.

8.58, 8.508, 7.5, 7.058

Look at the place values.

Please help i’ll give brainliest

Answers

Answer:

C

Step-by-step explanation:

Angle Bisector means the line is being split in half evenly. So, when angle 3 is 60, so is angle 4. Angles 1 and 2 are both 30 degrees because 30 + 60 equals to 90 degrees.

I hope this helps!

Answer:

60⁰..................

What is the equation of the following graph

Answers

Answer:

y=1 is the equation! :))

Step-by-step explanation:

Which equation represents a line parallel to the line shown on the graph. I need this for a test so pls be quick. Last answer choice is y=-1/3x+12

Answers

The first answer choice should be parallel. This is due to opposite reciprocal slopes being parallel.

A graph of a quadratic function is shown below.

What is the vertex of the parabola shown? (5 points)
A (10, 800)
B (800, 10)
C (30, 0)
D (0, 600)

Answers

Using it's concept, it is found that the vertex of the quadratic function is given by:

B (800, 10).

What is the vertex of a quadratic equation?

It is the point in which the parabola changes from increasing to decreasing, or vice versa, that is, the point in which it turns.

In this problem, it turns at x = 10 and y = 800, hence option A is correct.

More can be learned about the vertex of a quadratic equation at https://brainly.com/question/24737967

#SPJ1

Answer:

Step-by-step explanation:

-2, -7, -12,-17, ...
find out the nth term​

Answers

Answer:  -42

Step-by-step explanation:

Add 5 to each number until you reach the ninth term.

Answer:

-42 is the ninth term

Step-by-step explanation:

You need to find patterns in these kinds of problems. What do you do to the number to get to the next one? In this case, you are subtracting 5 from every number to get to the next. Therefore, to get to the ninth number, you must continue the pattern like this:

-2 (now subtract 5), -7 (subtract 5), -12 (-5), -17 (-5), -22 (-5), -27 (-5), -32 (-5), -37 (-5), -42 (-5)

Write an equation for the line that passes through (2,5) and (6,7)

Answers

Answer:

[tex]y=\frac{1}{2}x+4[/tex]

Step-by-step explanation:

Find the slope of the line first using the slope formula:

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

Substitute the two given points into this formula.

[tex]\frac{7-5}{6-2} =\frac{2}{4} =\frac{1}{2}[/tex]

Now that you have a slope and a point that the line passes through, you can use the point-slope formula to find the equation of the line.

Point-slope formula:

[tex]y-y_1=m(x-x_1)[/tex]

Substitute m = 1/2 for the slope and one of the points; I'm going to use (2, 5).

[tex]y-(5)=\frac{1}{2} (x-(2))[/tex]

Simplify the equation so it's easier to read.

[tex]y-5=\frac{1}{2} (x-2)[/tex]

Distribute 1/2 inside the parentheses.

[tex]y-5=\frac{1}{2}x-1[/tex]

Add 5 both sides of the equation.

[tex]y=\frac{1}{2}x+4[/tex]

Answer:

The slope is the change in y over the change in x.

(7-5) / (6-2) = 2 / 4 = 1 / 2

In y = mx + b, we know y, m, and x. Now solve for b:

Let's use the point (2, 5).

5 = (1/2)(2) + b

5= 1 + b

b = 4

Now put it together:

y = (1/2)x + 4

Step-by-step explanation:

Can someone tell this word please. Identify the vocabulary word that matches the picture. ​

Answers

Answer:

proably and acute angle

Step-by-step explanation:

acute angles are angles that are less than 90 degrees and the picture obviouly shows an angle that is less than 90

need points sorry. hope you get the help you need
Other Questions
PLEASEEE HELP TOMORROW IS THE LAST DAY TO THEN STUFF IN AND ITS REPORT CARDS Tina is building a birdhouse. The plans have a scale of 1 cm : 2.5 inches. A rectangular wall of her birdhouse has a drawing length of 2 cm and a width of 4 cm. What will the actual area of the wall be? In this passage, Sanjaya, the main character, is speaking to Dhritarashtra, the king.All mounted on their shining chariots!On our side, too,thou best of Brahmans! seeExcellent chiefs, commanders of my line,Whose names I joy to count: thyself the first,Then Bhishma, Karna, Kripa fierce in fight,Vikarna, Aswatthaman; next to theseStrong Saumadatti, with full many moreValiant and tried, ready this day to dieBhagavad GitaHow does Sanjaya describe the people who are standing with him?He tells how they are different.He compares them to one another.He describes them in sequential order.He explains what caused them to be there. what is the climax in paper bag princess Based on the meanings of the two root words, what does eccentric mean? show the importance of isi The Assyrian Empire was conquered by the Chaldeans because the Assyrian king was assassinated, leaving the Empire weak.TrueFalse Look at this outline: Anyone can make a cake I. Ingredients II. How to mix III. How to bake You could correct this outline by changing Answer these 2 in different sentences and i will give whoever is first brainliest Total bill of four pairs of shoes came to $69.25 what is the average price for each pair of shoes Solve the literal equation xy - 4xz = 5 for x.X= The discharge of chromate ions (CrO42-) to sewers or natural waters is of concern because of both its ecological impacts and its effects on human health if the receiving water is later used as a drinking water source. One way in which chromate can be removed from solution is by its reaction with ferrous ions (Fe2+) to form a mixture of chromic hydroxide and ferric hydroxide solids [Cr(OH)3(s) and Fe(OH)3(s), respectively], which can then be filtered out of the water. The overall reaction can be represented as CrO42- + 3 Fe2+ + 8 H2O --> Cr(OH)3(s) + 3 Fe(OH)3(s) + 4 H+How much particulate matter would be generated daily by this process at a facility that treats 60 m3/h of a waste stream containing 4.0 mg/L Cr, if the treatment reduces the Cr concentration enough to meet a discharge limit of 0.1 mg/L? In three to five sentences, identify and explain the effect of the point of view in this passage. -7+8what is negative 7 plus 8? Do you think Parliament had the right to tax the colonists without their consent? Why or why not? Question 12 ptsHalf of your plate should be made up of:Group of answer choicesProtein and DairyFruits and VegetablesGrains (Carbohydrates) and DairyProtein and VegetablesFlag this QuestionQuestion 22 ptsHow many servings of fruits should you consume daily?Group of answer choices2-32-46-113-5Flag this QuestionQuestion 32 ptsWhich of the 5 food groups does peanut butter belong to?Group of answer choicesDairyCarbohydratesProteinFatsFlag this QuestionQuestion 42 ptsIn terms of servings, which of the 5 food groups should your diet consist MOSTLY of?Group of answer choicesProteinCarbohydratesFatsFruitsFlag this QuestionQuestion 52 ptsAs a general rule, your diet should consist LESS of:Group of answer choicesProtein, Fat, and CarbohydratesSaturated fat, added sugar, and sodiumFiber, Calcium, and FatIron, Calcium, and ZincFlag this QuestionQuestion 62 ptsAs a general rule, 100 calories per serving of an indivdual packaged food is considered low.Group of answer choicesTrueFalseFlag this QuestionQuestion 72 ptsAs a general rule, the nutrients you want to get MORE of are (choose all that apply):Group of answer choicesIronSodiumFiberCalciumVitamin DFlag this QuestionQuestion 82 ptsUse the Nutrition Label below to answer the next 3 questions.What is the serving size of this product?Nutrition LabelMinimize File PreviewGroup of answer choices8 servings5 1/3 cups230 Calories2/3 cupFlag this QuestionQuestion 92 ptsHow many Calories are in the ENTIRE container? (Use the Nutrition Label above)Group of answer choicesI can't calculate it with the information given1840230920Flag this QuestionQuestion 102 ptsIn terms of % of Daily Value, this product is considered to be (Use the Nutrition Label above):Group of answer choicesHigh in calcium and iron, but low in potassiumLow in total fat, potassium, and vitamin DLow in saturated fat, calcium, and cholesterolHigh in calcium, iron, and potassiumFlag this QuestionQuestion 112 ptsCalcium is considered to be the "building blocks" of our body.Group of answer choicesTrueFalseFlag this QuestionQuestion 123 ptsConsuming too much fat in your diet can cause conditions such as heart disease, high blood pressure, and high cholesterol. However, consuming the right type of fats can be beneficial to your body. Choose the benefits of consuming certain fats:Group of answer choicescertain fats aid in the production of hormonescertain fats helps absorp other nutrientscertain fats play an important roll in cell buildingcertain fats improve muscle movementFlag this QuestionQuestion 132 ptsThis mineral helps to increase one strength, improve transmission of nerve signals, and help muscle contraction and relaxation.Group of answer choicesZincCalciumIronPotassiumFlag this QuestionQuestion 142 ptsThis mineral aids in the production of hormones and the creation of red blood cells.Group of answer choicesZincIronPotassiumCalciumFlag this QuestionQuestion 152 ptsThis mineral increases your resistance to diseases, increases your immune system, and increases your metabolism.Group of answer choicesZincCalciumPotassiumIronFlag this QuestionQuestion 162 ptsVitamins A, B6, C, and D are the MOST essential vitamins for your body?Group of answer choicesTrueFalseFlag this QuestionQuestion 171 ptsWhat is the MAIN purpose/function of vitamins?Group of answer choicesfight diseasecreate red blood cellsincrease bone strengthincrease metabolismFlag this QuestionQuestion 182 ptsWhat is the ONE nutrient humans can absolutely not live without?Group of answer choicesFatCarbohydratesProteinWaterFlag this QuestionQuestion 192 ptsWhich nutrient serves as food for the brain and central nervous system?Group of answer choicesVitaminsMineralsCarbohydratesProteinFlag this QuestionQuestion 202 ptsWhich nutrient makes up approximately 16% of our body weight and is made up of different amino acids?Group of answer choicesFatVitaminsProteinCarbohydrates What does "steady purpose" mean?A(An idea for all mankindB(The purpose of creating Frankenstein C(Good, or righteous, purposeD(The purpose of ridding the world of FrankensteinE(Deviant ideas manifest in this trip Select the correct answerWhich type of strength training uses machine-generated forces to increase muscle strength and endurance?.bench pressing.power liftingC.resistance trainingD.core trainingUndeNext What is the role of water in soil processes? ExplainHow to find the product 3/8 x 7/9