Winston drove 70 mph. If he drives for 3.5 hours how many miles will Winston drive?

I need the answer ASAP​

Answers

Answer 1
This problem can be solved using two equations:
The first represents the total trip, which is the miles driven in the morning added to those in the afternoon. Let's call the hours driven in the morning X and the hours driven in the afternoon Y. We get: X + Y = 248.
The second equation relates the miles driven in the morning compared to the afternoon. Since 70 fewer miles were driven in the morning than the afternoon, then X = Y - 70.
Now substitute the equation for morning hours (equation 2) into the total miles equation (equation 1). We get:
(Y - 70) + Y = 248
2Y - 70 = 248
2Y = 318
Y = 159
We know that Winston drove 159 miles in the afternoon.

To find the morning hours, just substitute 159 into the equation for morning hours (equation 2)
X = 159 - 70
X = 89
We now know that Winston drove 89 miles in the morning.

We can check our work by plugging both distances into the total distance equation: 89 + 159 = 248

Related Questions

Which function matches the graph?

A 2-dimensional graph with an x-axis and a y-axis is given. A parabolic curve is drawn whose axis of symmetry is parallel to y-axis and its vertex is at (1,-3); is passing through co-ordinates (3,1) and (-1,1).
A. f(x) = (x – 3)2 – 3
B. f(x) = (x + 1)2 – 6
C. f(x) = (x + 2)2 – 5
D. f(x) = (x – 1)2 – 3

Answers

vertex :  (1,-3)

coordinates : (3,1)  and  (-1,1)

parabola formula : y = a(x -h)² + k

(x, y) - from the coordinates(h, k) - from the vertex

so given,

h = 1

k = -3

x = 3

y = 1

solve for a:

1 = a(3 -1)² + (-3)1 = 4(a) - 34(a) = 4a = 1

Therefore equation:

y = (x -1)² - 3

check the graph for confirmation:

Answer: Graph the parabola y=x2−7x+2 .

Compare the equation with y=ax2+bx+c to find the values of a , b , and c .

Here, a=1,b=−7 and c=2 .

Use the values of the coefficients to write the equation of axis of symmetry .

The graph of a quadratic equation in the form   y=ax2+bx+c has as its axis of symmetry the line x=−b2a . So, the equation of the axis of symmetry of the given parabola is x=−(−7)2(1) or x=72 .

Substitute x=72 in the equation to find the y -coordinate of the vertex.

y=(72)2−7(72)+2    =494−492+2    =49 − 98 + 84     =−414

Therefore, the coordinates of the vertex are (72,−414) .

Now, substitute a few more x -values in the equation to get the corresponding y -values.

x y=x2−7x+2

0 2

1 −4

2 −8

3 −10

5 −8

7 2

Plot the points and join them to get the parabola

in short terms D.

100 POINTS FOR THE CORRECT ANSWER!!

Answers

Answer:

14,11,8

Step-by-step explanation:

If f(1)= 17

and f(n)= f(n-1) -3

f(2)= f(2-1)-3

f(2)=f(1)-3

f(2)=17-3

f(2)=14

f(3)=f(3-1)-3

f(3)=f(2)-3

f(3)=14-3

f(3)=11

f4)=f(4-1)-3

f(4)=f(3)-3

f(4)=11-3

f(4)=8

Answer:

14, 11, 8

Step-by-step explanation:

Given recursive formula:

[tex]\begin{cases}f(1)=17\\f(n)=f(n-1)-3\end{cases}[/tex]

A recursive formula for an arithmetic sequence allows you to find the nth term of the sequence f(n) provided you know the value of the previous term in the sequence f(n-1).

Therefore, the next 3 terms in the sequence are:

[tex]\begin{aligned}\implies f(2) & =f(2-1)-3\\& = f(1)-3\\& = 17-3\\& = 14\end{aligned}[/tex]

[tex]\begin{aligned}\implies f(3) & =f(3-1)-3\\& = f(2)-3\\& = 14-3\\& = 11\end{aligned}[/tex]

[tex]\begin{aligned}\implies f(4) & =f(4-1)-3\\& = f(3)-3\\& = 11-3\\& = 8\end{aligned}[/tex]

This is technically geography! But pls help! it's due soon! I'm offering 50 points!!

Answers

Answer:

(26 points for an answer... but anywho...)

Step-by-step explanation:

Hot air balloon: (20E, 10N)

Plane: (20E, 20S)

Whale: (10E, 20N)

Ship: (20W ,10S)

Bridge: (10W ,20S)

Truck: (15W, 20N)

I hoope this helps :)

Answer:

i wrote each one in explanation although you may need to add your WNSE labels. hope this helps.

Step-by-step explanation:

Hot air balloon (20,10)

Plane (20,20)

whale(10,20)

ship (20,10)

bridge (10,20)

truck(15,20)

Denali is the highest mountain
in the United States. What is its height in meters?
Round to the nearest whole number.

Answers

Answer:

6,000 meters.

Step-by-step explanation:

Denali is 6,190 meters so round it off to 6000.

Answer: 6,200

Step-by-step explanat

Denail 6,190 and if it is 50 up then you round up and if it if 50 down then you round down. In this case it is higher than 50 cause it is 6,190 so you round up.

Therefore, the answer should be 6,200

Need Help!
Sarah's bill for a meal at a Sonic is $8.99 before tax. If the tax rate is 6.2%, what is the total cost of her meal?

$9.06

$9.55

$9.60

$9.61

Answers

Answer: $9.55.

Step-by-step explanation: So far, Sarah's meal is $8.99 and her tax rate is 6.2%.  So 6.2% of $8.99 is 0.55738.  We have to add 0.55738 with 8.99 to find the total cost of her meal:

8.99 + 0.55738 = 9.54738, or $9.55.

Therefore, Sarah's bill has a total of $9.55 with the tax.

Hope this helps! :)

Tom has 5 green cubes for every 3 yellow cubes. He has 16 cubes in total. Draw a diagram to represent please help me​

Answers

10 green cubes and 6 yellow cubes

hope it helps...!!!

A normal distribution has a mean of 97 in the standard deviation of 12 find the probability that a value selected at random is in the following interval: at least 85

Answers

Answer:

the answer is not you or anything is not

3(−2−3x)=−9x−4 how many solutions

Answers

Answer:

there are no solutions

Can someone help me on this question

Answers

Answer:

D

Step-by-step explanation:

as shown, the angles are equal. You can assume that x also follows that rule.

Solve for x and round to near tenth

Answers

Answer:

Step-by-step explanation:

[tex]\sf Cos \ x = \dfrac{adjacent \ side}{hypotenuse}\\\\\\cos \ x =\dfrac{4}{9}\\\\\\Cos \ x = 0.44\\\\x = Cos^{-1} \ (0.44)\\[/tex]

x = 63.9°

CAN SOMEONE HELP ME PLEASE ASAP!?

Answers

Answer:

3:10

Step-by-step explanation:

3:10 is the ratio form of 3/10

This table shows values that represent an exponential function.

(See picture)

What is the average rate of change for this function for the interval from x = 1 to x = 3?

A. 3
B. 1/3
C. 6
D. 1/6​

Answers

Answer:

3

Step-by-step explanation:

When you go from x=1 to x=3 you go up twice on the x-value. The y value also increases by 6 which means all you have to do is find the average.

6/2= 3

3 is the average increase between x=1 and x=3

Hope this helps!

what is the value of 25.761-17.49

Answers

The vale of 25.761-17.49=8.271

Answer - 25.761-17.49=?

Then,

the answer is 8.271

Marisols bedroom has an area of 29. 76 square meters. the length of the room is 6. 2 meters. what’s is the width

Answers

Answer:

  4.8 m

Step-by-step explanation:

The area of a rectangle is the product of length and width. This relation can be used to find any of the dimensions when the other two are known.

__

Here, we know area and length, so we can find width.

  A = LW

  W = A/L = (29.76 m²)/(6.2 m) = 4.8 m

Mariosol's bedroom is 4.8 meters wide.


A French professor gives Sections 1 and 2 of a French course the same passage to translate. Section 1 has 28 students, and 5
translate the passage correctly. Section 2 has 22 students, and 8 translate the passage correctly. (See Example 3.)
(a) If one of the papers is selected at random, what is the probability that it is a correct translation? (Round your answers
to three decimal places.)
(b) One of the papers is selected and is known to be from Section 1. What is the probability that it is a correct translation?
(Round your answers to three decimal places.)
(c) A paper is selected and is known to be a correct translation. What is the probability that it is from Section 2? (Round
your answers to three decimal places.)

Answers

Using it's concept, it is found that the probabilities are given by:

a) 0.26 = 26%.

b) 0.179 = 17.9%.

c) 0.615 = 61.5%.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

Item a:

8 + 5 = 13 correct translations out of 28 + 22 = 50 students, hence:

p = 13/50 = 0.26 = 26%.

Item b:

5 correct translations out of 28, hence:

p = 5/28 = 0.179 = 17.9%.

Item c:

There are 13 correct translations, and of those, 8 are from section 2, hence:

p = 8/13 = 0.615 = 61.5%.

More can be learned about probabilities at https://brainly.com/question/14398287

Write an equation for the line in slope intercept form

Answers

Answer:

[tex]y=-\frac{3}{4}x+4[/tex]

Step-by-step explanation:

Slope-intercept form: y = mx + b

Slope (m): [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Use two points on the line to find the slope (m)

(4, 1) and (-4, 7)

[tex]m=\frac{7-1}{-4-4} \\\\m=\frac{6}{-8}\\\\m=-\frac{6\div2}{-8\div2}\\\\m=-\frac{3}{4}[/tex]

y = mx + b

[tex]y=-\frac{3}{4}x+b[/tex]

Now we find b, using either (4, 1) or (-4, 7)

(4, 1)

[tex]y=-\frac{3}{4}x+b\\\\1=-\frac{3}{4}(4)+b\\\\1=-3+b\\+3 +3\\\\4=b[/tex]

[tex]y=-\frac{3}{4}x+b== > y=-\frac{3}{4}x+4[/tex]

Check your answer using either of the points:

[tex](4,1)\\y=-\frac{3}{4}x+4\\\\1=-\frac{3}{4}(4)+4\\\\1=-3+4\\\\1=1[/tex]

This statement is true

Therefore, our final answer is [tex]y=-\frac{3}{4}x+4[/tex]

Hope this helps!

Evaluate (8+t)^3 - 6 minutes when T=2

Answers

Answer:

994

Step-by-step explanation:

Answer:

994

Step-by-step explanation:

Given the expression

[tex](8+t)^{3}-6[/tex]

Also given

[tex]t=2[/tex]

We can substitute 2 for t.

[tex](8+2)^{3}-6[/tex]

Do the parenthesis first.

[tex]8+2=10[/tex]

Therefore

[tex]10^{3}-6[/tex]

Evaluate [tex]10^{3}[/tex]

[tex]10^{3}=1000[/tex]

[tex]1000-6=994[/tex]

a kite is a square with sides that are 18 feet long. What is the length of the vertical stripe?

Answers

Given↷Side of the square kite⇢18 feetTo find↷Length of the vertical stripe ⇢ The diagonal of the given square kiteAnswer↷

25.46 ft

Solution↷

To find the vertical stripe of the kite,we'll use this formula

√2a

where,

a ⇢ length of the side of the given kite

Inserting the value of 'a' ( 18ft) in the formula,

we get,

length of the vertical stripe =√2a⇢√2 x 18ftlength of the vertical stripe ⇢25.46 ft

hence , the length of the vertical stripe of the given square kite = 25.46 ft

Answer:

C. 648 in.

Step-by-step explanation:

how to i put [tex]y^{2} +20x+8y+156=0[/tex] into standard form

Answers

Answer:

y=−4+2√5(−x−7)

y=−4−2√5(−x−7)

They are 1,236 oysters in a tub. If Lee gives Chris half of her oysters how many will remain in the tub? ​

Answers

Answer:

618

Step-by-step explanation:

half means you divide by 2.

so 1,236/2=618

hope this helps

Answer:

618 oysters

Step-by-step explanation:

Given :

1,236 oysters in a tubGives Chris half of her oysters

Solving :

half refers to dividing the number of oysters by 2 or multiplying by 1/2⇒ 1,236 / 2⇒ 618 oysters remain

0.063 = 0.9 X _____


Pls answer I need ASAP

Answers

Step-by-step explanation:

[tex] \frac{0.063}{0.9} = x \\ x = \frac{0.021}{0.3} \\ x = \frac{21}{300} \\ x = \frac{7}{100} \\ x = 0.07[/tex]

In one week, a music store sold 9 guitars for a total of $3611. Electric guitars sold for $479
each and acoustic guitars sold for $339 each. Write and solve a system of equations to
determine how many of each type of guitar was sold.

Answers

Answer:

4 electric guitars and and 5 acoustic guitars were sold.

Step-by-step explanation:

Electric guitars:  [tex]x[/tex]

Acoustic guitars: [tex]y[/tex]

[tex]y + x = 9\\y(339) + x(479) = 3611\\[/tex]

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

[tex]y + x = 9\\339y + 479x = 3611[/tex]

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

[tex](y + x = 9)339\\(339y + 479x = 3611)1[/tex]

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

[tex]339y + 339x = 3051\\339y + 479x = 3611[/tex]

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

[tex]-140x = -560\\x = \frac{-560}{-140} \\x = 4[/tex]

Choose any of the two equations in the first step and substitute 4 for [tex]x[/tex].

[tex]y + 4 = 9\\y = 9 - 4\\y = 5[/tex]

Therefore, there are 4 electric guitars and and 5 acoustic guitars were sold.

Note: In the elimination method of simultaneous equations, (+) + (+) = (-); (+) + (-) = (+) and (-) + (+) = (+) the signs addition or subtraction.

Yo I need to bring up my math grade bad so
4x-5y>20
(please show it graphed already, and step by step, NO LINKS

Answers

Answer:

Graphed verison:

See screenshot below! :^)

Solution version:

[tex]x > \frac{5}{4}y+5[/tex]

Step-by-step explanation:

For graphed verison:

See screenshot below.

For solution version:

[tex]4x-5y > 20[/tex]

Step 1: Add 5y on each side:

[tex]4x-5y+5y > 20+5y[/tex]

[tex]= 4x > 5y+20[/tex]

Step 2: Divide both sides by 4:

[tex]\frac{4x}{4} > \frac{5y+20}{4}[/tex]

[tex]= x > \frac{5}{4}y + 5[/tex]

Therefore, your answer is [tex]x > \frac{5}{4}y + 5.[/tex]

Hope this helped! :^)

⭐Brainliest will be appreciated!⭐

✉️Message me if you have any more questions!✉️

- ✨7272033Alt

Submitted on 4/15/2022 at 10:43 PM

(To avoid plagarism, by users whom decide to copy.)

Akeelah makes lanyards for her friends. She uses 12 feet of cord to make a
total of 6 lanyards. Which expresses the unit rate for the length of cord
needed to make one lanyard?

Answers

Answer:

2 feet of cord

Step-by-step explanation:

Hey there!

In order to find out what the length of cord needed to make one lanyard, we need to take into consideration how much cord she needed to make for 6 lanyards

It says that she used 12 feet of cord to make 6 lanyards meaning that for one lanyard, she used 2 feet feet of cord to make one lanyard

To find that out, all you need to do is divide the two numbers together to find out how much cord was needed to make one lanyard

So Akeelah needs 2 feet of cord to make one lanyard

Please help ASAP. Will give brainliest if correct!
What is 0.15...(repeating decimal) as a fraction in simplest form?

Clearly show your work.

Answers

Answer:

0.15 as a fraction in simplest form is 3/20.

Step-by-step explanation:

0.15 is the same thing as 15/100, divide both the numerator and denominator by 5 and your result is 3/20.

Answer:

0.15 as a fraction in simplest form is 3/20.

Step-by-step explanation:

0.15 is the same thing as 15/100, divide both the numerator and denominator by 5 and your result is 3/20.

Which of the following describes the domain of y= tan x, where n is any
integer?
O A. x≠npi
O B. x≠pi/2+npi
O C. x≠npi/2
O D. X≠27npi

Answers

Answer:

A. x≠npi is right B. x≠pi/2+npi,C. x≠npi/2,D. X≠27npi are wrong

Answer:

B. pi/2 + npi

Step-by-step explanation:

trust me brother

NEED HELP ASAP
In 1997, a restaurant chain had a profit of $45,000. In 2005, the company had a profit of $2,605,000.
Find the average rate of change of the chain's profit in dollars per year.

Answers

Answer:

$320,000

Explanation:

Which is an equation of the line that passes through the points (5, 2) and (10, -3)? HELP​

Answers

Answer:

y = − x + 7

Step-by-step explanation:

let D be the line that passes through the points (5, 2) and (10, -3) 

Then D has an equation of the form D: y = mx + p

Now we need to find m and p in order to be able to write the equation of the line D:

[tex]m = \frac{2-(-3)}{5-10} = \frac{5}{-5} = -1[/tex]

Since the point (5 , 2) lies on the line D then :

2 = -1 × (5) + p

then

2 = -5 + p

then 

p = 2 + 5 

  = 7

then

p = 7

Conclusion:

Since m = -1 and p = 7

then

[tex]D : y = -x + 7[/tex]

The following are the temperatures in °C for the first 10 days in January:

-0.1, 3.5, 6.4, 3.8. 4.7, 76, 4.7, 8.1, -1.8, -8

Calculate the range.
Give your answer as a decimal. ​

Answers

Answer:

84.0

Step-by-step explanation:

Range: Highest value - lowest value

Highest value: 76

Lowest value: -8

= 76 - (-8)

= 84

= 84.0

What type of triangle is defined by the following set of side lengths
11, 9 , 7
Question 4 options:
Acute
Obtuse
Right
Not a triangle

Answers

Answer:

it looks like a triangle but it is not it is called a Nonigon

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