Two cars leave San Francisco at the same time traveling in opposite directions. One travels at an
average speed of 74 mph and the other at 78 mph. In how many hours will they be 304 miles apart?
Let x = time of travel for the first car and y = time of travel for the second car.

Then the system that
models the problem is {74x + 78y=304}
Solve the system by using the method of addition.

Answers

Answer 1

Answer:

i don't really know but can you explain more so I can understand how to do it


Related Questions

What is the value of n?



n/73=8.76

Answers

Answer:

n=639.48

Step-by-step explanation:

Answer:

639.48

Step-by-step explanation:

Mrs. Sampson bought 8
packages of clay for a total of $32
for an upcoming art project. At
this rate, how much would 14
packages cost?

Answers

Answer:

$56

Step-by-step explanation:

cost of 8 packages of clay = $ 32

cost of 1 package of clay = 32 / 8 = $4

cost of 14 packages = 14*4 = $ 56

Find the equation of the line through the point (1, 16) that is parallel
to the given line. Write your final answer in slope-intercept form.
2y – 14x = 12

Answers

I think slope intercept form is y = mx + b. So first write the original line like this:

2y = 14x + 12 (add 14x to both sides)
y = 7x + 6 (divide all by 2 so we just have y and not 2y)

Parallel means it has the same slope but different intercept. So we need to know which intercept allows us to have a slope of 7 but go through the point (1, 16).

y = 7x + b
16 = 7(1) + b (substitute x & y)
16 = 7 + b (simplify)
9 = b (subtract 7 on both sides)

So the intercept is 9. So the equation of the parallel line would be y = 7x + 9.

And that answer is parallel to the original line y = 7x + 6; the whole line is shifted upwards by 3 units.

find the value of x
[tex]x[/tex]

Answers

70°

Step-by-step explanation:

because AB//CD value of x is :

x = 30° + 40°

x = 70°

5(t-9) +12t=20

3(6m-17),m=5

Answers

Answers: 67 and 39

Solving:
5(t - 9) + 12
5(20 - 9) + 12
100 - 45 + 12
55 + 12
67

3(6m - 17)
3(6*5 - 17)
3(30 - 17)
90 - 51
39

Which exponential equation is equivalent to this logarithmic equation?
log x 5+ log x 12 = 7

Answers

Answer:

[tex]{ \rm{ log_{x}(5) + log_{x}(12) = 7}} \\ \\ { \rm{ log_{x}(5 + 12) = 7}} \\ \\ { \rm{ log_{x}(17) = 7}} \\ \\ { \rm{17 = {x}^{7} }} \\ \\ { \boxed{ \rm{ {x}^{7} = 17 }}}[/tex]

• further more:

[tex]{ \rm{x = \sqrt[7]{17} }} \\ \\ { \boxed{ \rm{x = 1.5}}}[/tex]

The equivalent exponential equation is given by  [tex]x^7 - 60 = 0[/tex].

What is an equation?

Equation: A statement that two variable or integer expressions are equal. In essence, equations are questions, and the motivation for the development of mathematics has been the systematic search for the answers to these questions.

As per the given data:

We are given a logarithmic equation, and we have to find out the equivalent equation with exponents.

The logarithmic equation given in the question is:

[tex]log_x5 + log_x12 = 7[/tex] ...(i)

By using the following property of logarithm, we can simplify this equation.

[tex]log_x(ab) = log_xa + log_xb[/tex]

By using this property in eq (i)

[tex]log_x[5 \times 12] = 7[/tex]

[tex]log_x[60] = 7[/tex]

By using logarithmic transformation.

[tex]x^7 = 60[/tex]

∴ [tex]x^7 - 60 = 0[/tex]

The equivalent exponential equation is given by  [tex]x^7 - 60 = 0[/tex].

Hence, The equivalent exponential equation is given by  [tex]x^7 - 60 = 0[/tex].

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What is the absolute value function?

a. y= 7 |x+8| -4

b. y= -7 |x-8| +4

c. y= -7 |x+8| -4

d. y= -7 | x-8| -4

PLEASE HELP PLEASE PLEASE PLEASE

Answers

Answer:

c

Step-by-step explanation:

The absolute value function would be;

b. y= -7 |x - 8| +4

Given that;

The functions are,

a. y= 7 |x+8| -4

b. y= -7 |x-8| +4

c. y= -7 |x+8| -4

d. y= -7 | x-8| -4

Since, The absolute value function is a mathematical function that returns the positive magnitude or value of a given number, disregarding its sign. It is denoted by enclosing the number within vertical bars (| |).

In the given options, the equation that represents the absolute value function is:

b. y = -7 |x - 8| + 4

This equation represents a downward-opening V-shaped graph with its vertex at (8, 4).

As x approaches 8 from the left, the value of y decreases.

As x moves away from 8 towards positive or negative infinity, the value of y increases.

Therefore, the correct option is (b).

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What is the equation of the line shown on the graph?
A y=x
B y=4x
C Y= -x
D Y =1/4 X

Answers

The correct answer is B: y = 4x

Take two points from the graph and solve for the slope:

Let (x1, y1) = (2, 8)
(x2, y2) = (4, 16)

substitute these values into the slope formula:

m = (y2 - y1)/(x2 - x1)
m = (16 - 8) / (4 - 2)
m = 8/2
m = 4

Therefore, the slope is 4.

The y-intercept is the y-coordinate of the point (0, b) where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0.

Looking at the graph, the line crosses at the point of origin, (0, 0). Therefore, the y-intercept, b = 0.

The correct answer is option B) y = 4x.

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Rewrite the fraction 1/6 as a division expression with the same numbers.​

Answers

9514 1404 393

Answer:

  1 ÷ 6

Step-by-step explanation:

1/6 is a division expression. It means "one divided by six."

The slash (/) can be replaced by the "divided by" symbol (÷), if you like.

  1/6 = 1 ÷ 6 . . . . means "one divided by six"

Write a two-column proof.
Given m<4 =35, m<1= m<2 + m<4.
Prove m<3 = 70

Answers

Answer:

given m<4 = 35° and m<1 = m<2 + m<4

prove m<3 = 70°

Statements Reasons

m<4 = 35° given

m<1 = m<2 + m<4 given

m<2 = m<4 by the vertical angles theorem

35° = 35° substitution property of equality

m<2 + m<4 = m<1 angle addition postulate

35° + 35° = 70° substitution property of equality

m<3 = m<1 by the vertical angles theorem

m<3 = 70° substitution property of equality

The two column proof for the given set of angles are:

m∠2 = m∠4 by the vertical angles theorem

m∠3 = m∠1 by the vertical angles theorem

Given data:

The measure of angle

The measure of angle m∠4 =35,

The measure of angle m∠1= m∠2 + m∠4.

Now, Two straight lines that intersect at the same location are said to be intersecting lines. The junction point is the place where two intersecting lines meet. Four angles are created when two lines cross. The four angles added together always equal 360 degrees.

Perpendicular lines are two straight lines that intersect and form right angles. When two perpendicular lines intersect, they form four right angles.

When lines intersect, two angle relationships are formed:

Opposite angles are congruent

Adjacent angles are supplementary

Therefore, m∠2 = m∠4 by the vertical angles theorem

m∠3 = m∠1 by the vertical angles theorem

35° + 35° = 70° substitution property of equality

Hence, the measure of angle m∠3 = 70°

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Can someone help me please :)

Answers

9514 1404 393

Answer:

  (d)  y = 2×7^x

Step-by-step explanation:

If you try x=2 in each of the expressions, you find only one of the gives 98 as the value.

  a) 14^2 = 196

  b) 7×2^2 = 28

  c) 2^(7×2) = 2^14 = 16,384

  d) 2×7^2 = 2×49 = 98 . . . . . . . correct answer choice

__

Alternatively, you can recognize that the x-values in the given (x, y) pairs differ by 1, so the ratio of y-values will be the base of the exponential term:

  98/14 = 7

so you're looking for something of the form 7^x. That would be ...

  y = 2×7^x

__

In more general terms, consider

  y = ab^x

If you have x=1 and x=2, then this will be ...

  y1 = ab^1 = ab

  y2 = ab^2

Dividing the second by the first gives ...

  y2/y1 = (ab^2)/(ab) = b . . . . . . . general solution when x-values differ by 1

  98/14 = b = 7

From the x=1 case, we have ...

  14 = 7a   ⇒   a = 2

  y = 2·7^x

Use the given property of equality to complete the statement. Reflexive Property of Equality b + 5 + 12 =​

Answers

Answer:

b=-17

Step-by-step explanation:

1) add common terms aka 5 and 12, which is 17

b+17=0

2) move seventeen to the other side by doing the opposite opperation of addition which is subtraction

b=-17

How do I post pictures?

Answers

Answer:

Use the "Brainly" App

Step-by-step explanation:

Download the "Brainly" app, then log into your account, and enable your camera to have your questions searched into their system.

Write 47/11 as a decimal. If necessary, use a bar to indicate which digit or group of digits repeats

Answers

it would be 4.2727, just round and you should get 4.3. sorry if i’m wrong

Me.Ramirez divid 12 frogs

Answers

Answer: my last names Ramirez!

Step-by-step explanation:

Liam's mom was getting ready to make dinner and
found she was out of potatoes for her famous
smashed potatoes. Liam volunteered to go to the
store and get potatoes for his mom. He spent $11.52
for 12 pounds of potatoes. How much did he spend
per pound?

Answers

Answer:

$0.96

Step-by-step explanation:

Take your cost and divide it by your amount.

$11.52/12 = 0.96

In slope intercept form y=mx+b, the y-intercept is located at (0,b).

a. What equation results from substituting (0,b) for (x1,y1) in the point-slope form y-y1= m(x-x1)?

b. How are the slope-intercept and the point-slope forms related?

a . When (0,b) is substituted for (x1,y1) in the point-slope form y-y1=m(x-x1). the result is__
( Type an equation )
Please Help asap

Answers

Step-by-step explanation:

a. Substituting (0,b) into the point-slope form, we get y = mx + b. Plug in 0 to the x1 value and plug in b into the y1 value. Add b to both sides and you should get y = mx+b.

b. Slope-intercept shows how to get specific x or y values at a point if three of the four variables (y, m, x, or b) are known. Point slope form is used mainly when finding the slope from two distinct points. (Later, you'll learn it's importance in the definition of a derivative :).)

c. y = mx + b. Refer to a.

Answer:

a) y-b=m(x-0)

b) (x1, y1) , point-slope, y, slope-intercept

Explanation

Select all of the following statements that are true.

- + 0 = -
- - = -
- = +
- + = -
- + = +
- + = 0

Answers

Answer:

-+=- is true

Step-by-step explanation:

because - and+ are equal to -

but - and- are eqial to +

Town B is 8 miles north and 17 miles west of town A. How far are
the two towns apart?

Answers

9514 1404 393

Answer:

  18.8 mi

Step-by-step explanation:

The Pythagorean theorem can be used to find the straight-line distance between the towns. The distances 8 mi and 17 mi form the legs of a right triangle, whose hypotenuse is the straight-line distance.

  d² = 8² +17² = 64 +289 = 353

  d = √353 ≈ 18.8  . . . miles

The two towns are about 18.8 miles apart.

What is the value of x? show all your work​

Answers

Answer:

x or AB = 9

Step-by-step explanation:

Use Pythagorean Theorem to solve for missing side.

Pythagorean Theorem: a² + b² = c²

Plug our sides in to get AB² + BC² = AC²

We are solving for AB so we arrange the equation to get:

AB² = AC² - BC²

Solve for AB:

AB² = (√117)² - (6)²

AB² = 81

AB = 9

x or AB = 9

-12 is an element of what sets of numbers?

Answers

Answer:

real numbers, integers, and rational numbers

Step-by-step explanation:

that passes through the
What is the point-slope form of the line with slopez
point (-4, – 7)?
y - 4 = } (x – 7)

Oy - 7 = 3 (x – 4)
Oy+7= } (x+4)
Oy+4= } (x+7)

It’s question 5

Answers

Answer:

answer 3

Step-by-step explanation:

point slope form is

[tex]y - y1 = m(x - x1)[/tex]

See photo please help

Answers

Answer:

2/3 is right one . option no B

What is the value of
-3x+2y-x
When x = -1 and y = 5

Answers

14
here is my work

Hopes it helps

Which best describes how a credit card works?
The credit card company extends you a line of credit. You then pay a small percentage of the cost of those purchases in one annual payment.
The credit card company extends you a line of credit. You purchase "stuff" and the purchase gets directly paid with funds in your checking account.
The credit card company extends you a line of credit. This is free money that you can use to purchase the "stuff" that you need.
The credit card company extends you a line of credit. You purchase "stuff" and then have the choice to pay the balance in full or a minimum payment each month.

Answers

Answer:

D

Step-by-step explanation:

The credit card company extends you a line of credit. You purchase "stuff" and then have the choice to pay the balance in full or a minimum payment each month.

This is the only one that makes sense because of the last sentence which you have the choice to pay in full or a minimum payment

The option that best describes how a credit card works is D. The credit card company extends you a line of credit. You purchase "stuff" and then have the choice to pay the balance in full or a minimum payment each month.

It should be noted that a credit card company typically extends a line of credit to an individual.

Then the individual can purchase "stuff" and then have the choice to pay the balance in full or a minimum payment each month.

In conclusion, the correct option is D.

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which one is greater 16,400 or 1.64 times 10 to the 4th power.
Sorry it is confusing.

Answers

Answer: its the same amount

Step-by-step explanation:

In the xy-plane, a line crosses the y-axis at the point (0, 3) and passes through the point (4, 5). Which is the equation of the line? A) y = 1 2 x + 3 B) y = 2x + 3 C) y = 1 2 x − 4 D) y= 2x − 4

Answers

The equation of a line crosses the y-axis at the point (0, 3) and passes through the point (4, 5) is y=1/2 x+2. Therefore, option A is the correct answer.

What is the equation of a line?

The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.

Given that, in the xy-plane, a line crosses the y-axis at the point (0, 3) and passes through the point (4, 5).

We know that, the formula to find the slope of a line is m=(y2-y1)/(x2-x1)

Substitute (x1, y1)= (0, 3) and (x2, y2)= (4, 5) in slope formula, we get

= (5-3)/(4-0)

= 2/4

= 1/2

Now, substitute m=1/2 and (x, y)=(0, 3) in y=mx+c, we get

3=1/2(0)+c

c=3

Put m=1/2 and c=3 in y=mx+c, we get

y=1/2 x+2

The equation of a line crosses the y-axis at the point (0, 3) and passes through the point (4, 5) is y=1/2 x+2. Therefore, option A is the correct answer.

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Elisa owns 28% of the Grudman Corporation. The rest of the shares are owned equally by the remaining six shareholders. What percent of the corporation does each of the other shareholders own?

Answers

Answer:

12%

Step-by-step explanation:

each shares 12% because 100-28=72

72÷6=12%

Serena deposits $1200 into a savings account that earns simple interest. The interest is applied to her account at the end of each year. Complete the table

Answers

Answer:

lu have to ask mss v for the question

Last month, Donovan ran 48 miles. James ran m miles. Donovan ran 3 times as far as James. Which equation can be used to find m, the number of miles James ran?

Answers

Answer:

45

Step-by-step explanation:

78

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