Your aunt and uncle took turns driving on a 580-mile trip that took 10 hours. Your uncle drove at a constant speed of 60 mph and your aunt drove a constant speed of 55 mph. How long did each person drive?

A. Write the two equations.

B Solve the equations and give both answers.

Answers

Answer 1

Answer:

Aunt drove  4 hours

Uncle drove 6 hours.

Step-by-step explanation:

Equations:

580 = 55/x + 60/y

600 = 55x + 60y

Happy Holidays!


Related Questions

Choose the correct description of each system of equations (Problems 2 & 3). F consistent and independent H consistent and dependent G inconsistent J inconsistent and dependent 2. X + 2y = 7 -2x – 4y = -14

Answers

Answer:

Dependent.

Step-by-step explanation:

The system of equations we got there is dependent. This is because they are both basically the same equation, so the graph of both of them is just the same. We can get one equation from the other:

x+2y=7

if we multiplied both sides of the equation by -2 we would get:

-2(x+2y)=-2(7)

-2x-4y=-14

This means that the system of equations will have infinitely many answers.

Which of the following tables does not repesent a function

Answers

Answer:

C

Step-by-step explanation:

It's not A because 7 is being repeated for y more than once. It's not B because 5 has been repeated more than once for y. It's not D because 7 is being repeated more than once for x. If you look at C, you can see that no numbers are being repeated for x, and no numbers are being repeated for y.

Solve (y-4)^2+63=0 where y is a real number.

Answers

Answer:

[tex] y = 4 + 3 \sqrt{7} i[/tex]

Step-by-step explanation:

[tex](y-4)^2+63=0 \\ \\ (y-4)^2 = - 63 \\ \\ (y-4)= \sqrt{ - 63} \\ \\ y - 4 = 3 \sqrt{7} i \\ \\ y = 4 + 3 \sqrt{7} i[/tex]

[tex]\left \{ {{y=24} \atop {x=2}} \right.[/tex]

Answers

Please post your question fully !!

Answer:

huh?.............

Step-by-step explanation:

im not smart

Simplify (-2x - 9)(-4). 8x - 36 -8x + 36 8x+ 36 -88-36​

Answers

Answer:

8x+36

Step-by-step explanation:

distribute the -4

-2x times -4 + -9 times -4

8x+36

xoxo, your highness...

Answer:

[tex]64x^2+648x-124[/tex]

if your question is

[tex]\left(-2x-9\right)\left(-4\right)\cdot \:8x-36-8x+368x+36-88-36[/tex]

PLS HELP. brainliest if correct

Answers

Answer:

d) A = 8⁻⁹

Step-by-step explanation:

[tex]A^{\frac{-x}{9}}= (8^{-9})^{\frac{-x}{9}}[/tex]

        [tex]= 8^{-9*\frac{x}{-9}}\\\\=8^{x}[/tex]

Solve the inequality 7x - 11 < 9x + 22.

Answers

Answer:

x>-33/2

Step-by-step explanation:

this is because you must solve the equation. when you divide by a negative number in order to get the x alone the sign of the inequality flips.

Answer:

[tex]x > \frac{ - 11 - 22}{2} [/tex]

Step-by-step explanation:

Step 1: Subtract 7x7x from both sides.

−11<9x+22.−7x

Step 2:Simplify 9x+22.-7x9x+22.−7x to 2x+22.2x+22.

−11<2x+22.

Step 3:Subtract 22.22. from both sides.

−11−22.<2x

Step 4:Divide both sides by 22.

[tex] \frac{ - 11 - 22}{2} < x[/tex]

Step 5, Switch sides.

[tex] x > \frac{ - 11 - 22}{2} [/tex]

I hope it helps you.

If AX) = x2 + 2x + 3, what is the average rate of change of AX) over the interval (-4, 6]? OA 51 B. 40 OC. 31 OD 20 OE 4​

Answers

Answer:

E

Step-by-step explanation:

The average rate of change of A(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ - 4, 6 ] , then

f(b) = f(6) = 6² + 2(6) + 3 = 36 + 12 + 3 = 51

f(a) = f(- 4) = (- 4)² + 2(- 4) + 3 = 16 - 8 + 3 = 11 , thus

average rate of change = [tex]\frac{51-11}{6-(-4)}[/tex] = [tex]\frac{40}{10}[/tex] = 4 → E

Which of the following is a monomial?
A. 11x-9
B. 20x11 - 3x
C. 20x11
D. 9/x

Answers

Answer:

c is the answer of that questoion

which is the answer to this question?
2⋅((4^2)^−1)
1/2
1/4
1/8
1/16

Answers

I believe the answer ur looking for is 1/16

PLEASE HELP EXPLAIN MEHOW TO SOLVE THIS I WILL GIVE THE BRAINLIEST

Answers

Answer:

D

Step-by-step explanation:

We require to calculate the circumference (C) of the pizza

C = 2πr ( r is the radius )

here r = 10, then

C = 2π × 10 = 20π

Now divide the circumference by 4, for number of pieces, that is

number of pieces = [tex]\frac{20\pi }{4}[/tex] = 5π ≈ 15.7073...

Thus 15 full pieces can be cut from the pizza

PLEASE HELP FAST 2 EASY QUESTIONS FOR DOUBLE THE POINTS AND BRAINLIST MAKE SURE YOU READ IT CORRECTLY!

Answers

Answer:

2057

2 2

Step-by-step explanation:

Find the product of 51 and -2.5. Use the distributive property to rewrite and solve. The first step is done for you. 51(-2.0) + 51(-0.5) What is the next step in using the distributive property to solve this equation?

Answers

Answer:

-12.75

Step-by-step explanation:

Find the product of 51 and -2.5. Use the distributive property to rewrite and solve.

The next step using Distributive property is to expand the brackets

5.1 × 2.5

Step 1: Distributive property

51(-2.0) + 51(-0.5)

Step 2: Expand the brackets

-10.2 + -2.55

Step 3

- 12.75

Answer:

-12.75

 The next step using Distributive property is to expand the brackets  

5.1 × 2.5  

Distributive property

51(-2.0) + 51(-0.5)

Expand the brackets

-10.2 + -2.55

 - 12.75

Write the word sentence as an equation.

The sum of a number x and 4 equals 12.

An equation that represents this sentence is
.

Answers

Answer:

x+4=12

x in this equation would be 8

Answer:

X + 4 = 12

Step-by-step explanation:

you write it in a equation for like if you were writing whats two plus two equals 4 write it equation form ? The answer would be 2+2=4

Will give brinley crown thing! :)

Is x = 4 the correct solution to the equation 2x - 8 = 12 - 4x ? Explain your reasoning using a complete
sentence.

Answers

Answer:

x = 10/3

Step-by-step explanation:

Is xy = yx? Explain how you know

Answers

Answer:

Yes

Step-by-step explanation:

xy=yx because either way, you would end with the same product. For example, if x was 3 and y was 2, you would have (3)(2)=(2)(3), giving you 6=6 which is, in fact, a true statement.

Please help will mark brainiest

At a farming supply store 7 pounds of seed cost $141.96. If a farmer needed 4 pounds of seeds, how much would it cost him?

$81.21
$81.24
$81.12
$39.90

Answers

Answer:

$81.12

Step-by-step explanation:

get cost per 1 pound by dividing 141.96 by 7; unit price is $20.28

4 pounds multiplied by 20.28 gives you $81.12

Larissa takes a dose of 4 drops of medicine every day, three times a day. One milliliter (mL) of the medicine contains about 20 drops. If the medicine comes in a 12 mL bottle, approximately how many days will the bottle last?

Answers

Answer:

The bottle will last for 20 days.

Step-by-step explanation:

Given that:

Number of drops in a dose = 4 drops

Dose is taken three times a day, therefore,

Number of drops taken in a day = 4*3 = 12 drops

One milliliter = 20 drops

12 mL = 20*12 = 240 drops

Number of days the bottle will last can be find out by calculating total number of drops by the number of drops consumed in a day.

Number of days bottle will last = [tex]\frac{240}{12}=20[/tex]

Hence,

The bottle will last for 20 days.

A circle with its center at O (6,5) has a radius of 5 units. Point P (2,y) lies on the circle. Also y<4. Find y

Answers

Finally, we know from the problem that P lies in the second quadrant. In the second quadrant, X is negative and Y is positive. Therefore, the final answer is:
y
=
+
4
5

Help with question 4 please

Answers

Answer:     y=5                           x=11

abc=def                                      

ab=de                                         <b=<e

17y-8=12+13y                              11x-4=117

-13y        -13y                                  +4   +4

4y-8=12                                      11/11x=121/11

  +8  +8                                           x=11

4/4y=20/4

y=5

Please someone help with this!!!!

Answers

Answer:

Step-by-step explanation:

>

A quantity with an initial value of 390 decays exponentially at a rate of 8.5% every 9 weeks. What is the value of the quantity after 42 days, to the nearest hundredth?

Answers

Answer:

Step-by-step explanation:

The initial value = 390

It decayed at an exponential rate of 8.5% for 9weeks which is also 63days

Decay exponential rate after 42days will be:

8.5% = 63days

x% = 42days

8.5% ×42days = 63days×x%

357 = 63x

x = 357/63

x = 5.666%

Hence after 42days it would have decayed by 5.666% of it initial value.

That is 5.666% of 390

5.666/100 × 390

0.056×390

= 22.0974

To the nearest hundredth 22.10

Hence the value left will be 390-22.0974

= 367.9026

To the nearest hundredth 367.90

Answer:

The answer is 367.57

6. Maria rides the bus every day. She bought a bus pass good for the month of
October for $38.75. How much was Maria spending per day for the bus pass?

Answers

Answer:

Maria is spending $1.25 for the bus pass everyday

Step-by-step explanation:

Given that Maria paid $38.75 for the pass for a month

As she bought the pass for the month of October and October has 31 days, dividing the amount paid for pass by 31 will give us the per day cost that she is spending.

So,

[tex]Per\ day\ cost = \frac{38.75}{31}\\= 1.25[/tex]

Maria is spending $1.25 for the bus pass everyday

What is the decrease percentage of 62 to 31

Answers

Answer:

50%

Step-by-step explanation:

Answer: 50%

Step-by-step explanation:

31 is half of 62, so it was a 50% decrease.

850 projects were entered in the science fair. If 86% of the projects did not receive a ribbon, then how many student projects did receive a ribbon?​

Answers

Answer:

731 of the projects received a ribbon.

Step-by-step explanation:

850 x 0.86 = 731

Hope this helps!

10 POINTS Solve the following inequality. 4x-1> -9

Answers

Answer:

x > −2

Step-by-step explanation:

~Solve~

Let's solve your inequality step-by-step.

4x−1>−9

Step 1: Add 1 to both sides.

4x−1+1>−9+1

4x>−8

Step 2: Divide both sides by 4.

4x

4

>

−8

4

x>−2

Answer:

x>−2

SOMEBODY PLEASE HELP!! (view picture, math related$

Answers

Answer:

the answer is B

Step-by-step explanation:

A,B youll see the numbers go across

WILL GIVE BRAINLIEST
Write an equation in slope-intercept form with the given slope and y-intercept
IMAGE BELOW

Answers

Answer:  slope: 1/4

y-intercept: 0,3

Step-by-step explanation:

ANSWER ASAP
Which two expressions are equivalent?
A: x(7+4) and 7(x) + 4(x)
B: 7 - (5•x) and (7-5) • x
C: 4(x-9) and 4(x) - 9 (x)

Answers

Answer:

Its A

Step-by-step explanation:

The answer is A, x(7+4) + 4(x)

Estimate a 15% tip on a dinner bill of $41.35 by first rounding the bill amount to the nearest ten dollars.

Answers

Answer:

Total you have to pay: $47.55

Tax amt: $6.20

Step-by-step explanation:

Multiply $41.35 by 1.15

How this works, when your increasing an amount you first change the percentage to a decimal number. Afterwards you add the decimal number

Ex: 1 + .15= 1.15

Or the opposite: 1 - .15= .85

Then multiply your original number by the number you got from the previous step.

Ex: $41.35 x 1.15=47.55

And to find how much you increase just do (Final amount-Initial Amount)

Other Questions
^^ What is this song?? Why am I always hit on by the boys I never likeI can always see 'em coming, from the left or from the rightI don't want to be a priss, I'm just try'na be politeBut it always seems to bite me in theAsk me for my number, yeah, you put me on the spotYou think that we should hook up, but I think that we should notYou had me at "hello", then you opened up your mouthAnd that is when it started going southOh!Get your hands off my hips, 'fore I'll punch you in the lipsStop your staring at my hey!Take a hint, take a hintNo you can't buy me a drink, let me tell you what I thinkI think you could use a mintTake a hint, take a hintT-take a hint, take a hintI guess you still don't get it, so let's take it from the topYou asked me what my sign is, and I told you it was "stop"And if I had a dime for every name that you just droppedYou'd be here and I'd be on a yachtOh!Get your hands off my hips, 'fore I'll punch you in the lipsStop your staring at my hey!Take a hint, take a hintNo you can't buy me a drink, let me tell you what I thinkI think you could use a mintTake a hint, take a hintT-take a hint, take a hintWhat about "no" don't you get?So go and tell your friendsI'm not really interestedIt's about time that you're leavin'I'm gonna count to three andOpen my eyes andYou'll be goneOneGet your hands off myTwoOr I'll punch you in theThreeStop your staring at my hey!Take a hint, take a hintI am not your missing linkLet me tell you what I thinkI think you could use a mintTake a hint, take a hintTake a hint, take a hintWoah!Get your hands off my hips, 'fore I'll punch you in the lipsStop your staring at my hey!Take a hint, take a hintT-take a hint, take a hint PLEASE HELP ME ILL MARK BRAINLIEST CORRECT ANSWer thank you The location on the surface of the Earth directly above the focus of an earthquake is called thefocus pointseismic waveepicenter PLZ helpppppp meeeee After food is consumed, chemical nutrients are absorbed into the blood. The blood then carries these nutrients to the body's cells where the nutrients enter mitochondria. Which reaction must occur next for the cell to carry on other activities?\ Name two drugs and example what they can do to your body if you misuse them? Quin ( necesitar) el libro? Help ASAP pleaseA. necesitaB. necesitanC. necesitasD. necesito Please help in Expontents! Evaluate 23)2+52 Have more funOut in the sunBe so coolBeside your poolWear your brand new Raider Shades!Mirrors ... colors... fat frames...skinny frames... It's Raider Shades!For every face and place!Based on the ad, which option does the author most likely believe the consumer wants? In the early 1800's Spain began to fear the activities in Texas of military adventurers called Tara bought a 1.8-acre lot. She is going to have sod put on 0.6 of the lot.Part AWhich grids show the correct shading to model the multiplication? A. 2 hundred grid models showing 8 columns shaded and 6 rows shaded. The intersecting area is an array that is 8 6. B. 2 hundred grid models showing 16 columns shaded and 8 rows shaded. The intersecting area is an array that is 16 8. C. 2 hundred grid models showing 6 columns shaded and 8 rows shaded. The intersecting area is an array that is 6 8. D. 2 hundred grid models showing 18 columns shaded and 6 rows shaded. The intersecting area is an array that is 18 6.Part BHow much of Taras lot will have sod? Enter your answer in the box. acresPart CUse the drop-down boxes to explain how the model helps you find the product importance of money in daily life Mary's team is located in different countries. Because of the time zone differences, it is difficult for the team to meet all together so their meetings are conducted ________. Please help me with this its 8 grade Photosynthesis and respiration depend on each other for the exchange of: HELP ME!!!Read this excerpt from "The Unseen Values."Scientific research has never been amenable to rigorous cost accounting in advance. Nor, for that matter, has exploration of any sort. But if we have learned one lesson, it is that research and exploration have a remarkable way of paying offquite apart from the fact that they demonstrate that man is alive and insatiably curious. And we all feel richer for knowing what explorers and scientists have learned about the universe in which we live.Based on the passage above, the reader can infer that the author values -accountabilitymoneyhistoryknowledge Simplify:(25 +17) - 137 13|OA) 15OB) 18OC) 20OD) 21 you have read 15 pages of a book. you plan to read an additional 12 pages each night. write the explicit formula to represent the number of pages you will read after n nights. They looked around and then rushed toward each other. A cry of alarm surged through Tompkins Square Park. Was this a fight to the death instead of a boxing match?The fear soon gave way to wave upon wave of cheering as the two amigos embraced.No matter what the decision, they knew they would always be champions to each other.PLEASE HURRY I ONLY HAVE 5 MINS Whats a Sentence for tolerance ?