Dan is driving from his hometown to California to Colorado for a ski vacation. The equation defines the distance he is from home h hours after noon. What are the meanings of the values in the equation?
y=70h+100
a. Dan is 100 miles from home at noon and is traveling at 70 miles per hour.
b. Dan is 70 miles from home at noon and is traveling at 100 miles per hour.
c. Dan leaves at 1:00 and is traveling at 70 miles per hour.
d. Dan leaves at noon and is traveling at 100 miles per hour.

Answer:

56.25 minutes

Step-by-step explanation:

1 mile is 6.25 minutes

9 miles is _____?

6.25 minutes x 9 miles =

56.25 minutes

Find Unit Rate to help solve

Hope this helps :)

Answer:

[tex]a = -6, b = - 8[/tex]

Remaining factor = [tex]x+4[/tex]

Step-by-step explanation:

Given that:

Two polynomials:

[tex]x^{2} -x-2[/tex] and [tex]x^3 +3 x^2 +ax +b[/tex]

[tex]x^{2} -x-2[/tex] is a factor of [tex]x^3 +3 x^2 +ax +b[/tex].

To find:

The values of [tex]a[/tex] and [tex]b[/tex] from the cubic equation and the remaining factor.

Solution:

Let us first of all, factorize [tex]x^{2} -x-2[/tex].

[tex]x^{2} -2x+x-2=0\\\Rightarrow x(x-2)+1(x-2)=0\\\Rightarrow (x+1)(x-2)=0\\\Rightarrow x = -1, 2[/tex]

There are two factors of the given quadratic equation.

These two factors must also be factors of the cubic equation as well.

Putting [tex]x = 2[/tex]:

[tex]2^3 +3 \times 2^2 +a\times 2 +b =0\\\Rightarrow 2a+b=-20 ..... (1)[/tex]

Putting [tex]x = -1[/tex]:

[tex](-1)^3 +3 \times (-1)^2 +a\times (-1) +b =0\\\Rightarrow -a+b=-2 ..... (2)[/tex]

Subtracting (2) from (1):

[tex]3a = -18\\\Rightarrow a = -6[/tex]

From equation (1):

[tex]2\times (-6) + b=-20\\\Rightarrow b = -8[/tex]

Putting the values of [tex]a[/tex] and [tex]b[/tex] in the cubic equation, we get:

[tex]x^3 +3 x^2 -6x -8[/tex]

Dividing the cubic equation with quadratic, we get:

[tex]\dfrac{x^3 +3 x^2 -6x -8}{x^{2} -x-2} = x+4[/tex]

Answer:

Step-by-step explanation:

4.1-1.25=2.85

lets divide

2.85/0.005=570

Answer:

2.85/0.005=570

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

21 ounces

Step-by-step explanation:

https://brainly.com/question/15457567

Answer:

about 2 pounds

At two months the kittens weigh about 2 pounds and can be spayed or neutered.

hope this helps

The values of [tex]w[/tex] that make the inequality [tex]-w\ge7[/tex] true are

[tex]\{... ,-11,-10,-9,-8,-7\}[/tex]. An equivalent inequality, in terms of [tex]w[/tex], is [tex]w\le-7[/tex]

To get the values that make the inequality true, we have to solve the inequality for [tex]w[/tex]. This will also give an equivalent inequality in terms of [tex]w[/tex]

[tex]-w\ge7\\\\\implies \dfrac{-w}{-1}\le\dfrac{7}{-1}\\\\w\le-7[/tex]

the solution set is the set of values [tex]\{... ,-11,-10,-9,-8,-7\}[/tex]. In other words, [tex]w[/tex] can take up values less or equal to [tex]-7[/tex] to make the inequality  [tex]-w\ge7[/tex] true

Also, the inequality equivalent to [tex]-w\ge7[/tex] is [tex]w\le-7[/tex]

Learn more about solving inequalities here https://brainly.com/question/12306534

Answer:

True

Step-by-step explanation:

-10×5+5=-9×5

-45=-45

So it's 100% true

Because -45 is equal to -45

Answer:

36/s

Step-by-step explanation:

The / means divide since I couldn't find the division sign. The / is also another way to write the division sign.

Answer:

36/s

Step-by-step explanation:

Answer:

8%

Step-by-step explanation:

1% of 750 is 7.50

So 60 divided by 7.5 is 8

Answer:

-19

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define Expression

3² + (9 - 16)(4)

Step 2: Evaluate

Answer:

Step-by-step explanation:

BODMAS=bracket

O=of

D=division

M=multiplication

A=addition

S=subtraction

3*3=9

9+(9-16)(4)

9+(7)(4)

9-28

-19

Answer:

21

Step-by-step explanation:

30 ÷ 100 x 70

My Answer:

21  bikini styles

Step-by-step explanation/math I took to do the problem:

30 ÷ 100 x 70

Answer:

The answer is B

Step-by-step explanation:

because it is going up by 6 so graph B is the only graph going up by 6.

The  correct graph is with $6, $12, $18, $24.

The graph is simply a structured representation of the data. It aids in our comprehension of the data. The numerical information gathered through observation is referred to as data.

In a line graph, the information or data is represented as a series of markers, or dots, and is then connected to one another by a straight line.

Usually, data that varies over time is represented with a line graph.

Given:

As, from the given graph

The saving increases each week at the same rate therefore saving increases from 3rd to 4th week is 6$. this means that saving increases $6 each week.

Hence, option to is correct with $6, $12, $18, $24.

Learn more about graph here:

https://brainly.com/question/17267403

#SPJ6

Answer:

16

Step-by-step explanation:

First do the operations in the parentheses.

8+4-10 = 2

Then do 2^3.

2^3 = 2*2*2 = 8

Then do 8*2

16

Answer:

Check explanations for answer

Step-by-step explanation:

Here, we want to find out how Gerard came to the conclusion

For him to arrive at this conclusion, then we should consider the lengths given if they form a right triangle and are suitable for the building frame

From the lengths that we have

If we square the longest length, then the sum of the squares of the two other lengths should be the same as it is

This is in obedience to Pythagoras’ theorem

However, this does not hold

√(150)^2 is not equal to 8^2 + (√(95))^2)

and so since this does not work, then the triangle is not right-angled and cannot be use as the frame

Answer:

Step-by-step explanation:Sample Response: Gerard determined that the squares of the two smaller sides did not equal the square of the longest side. The side lengths did not create a true statement of the Pythagorean theorem.

Answer:

There are 0.475 pounds of apples in each tart.

I arrived in this number by dividing the total number of pounds by the total number of tarts made.

475 pounds divided by 1000 tarts is equal to 0.475 pounds per tart.

475 lbs/1000 tarts = 0.475 lbs/tart

So, if you are to bake a certain number of tarts and need to know the total number of pounds of apple needed to bake you can use this equation.

y = 0.475x

where y represents the total number of pounds needed to bake x number of tarts with a fixed 0.475 pounds per tart.

Step-by-step explanation:

Answer:

The change in momentum is: 60 N.s

Step-by-step explanation:

By Newton's second law:

F = ∆p / ∆t

Given that

Using the formula to determine the change in momentum

F = ∆p / ∆t

∆p = F × ∆t

     = 12 × 5

      = 60 N.s

Therefore, the change in momentum is: 60 N.s

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[tex]7d + d - 4d - 7 = 5d[/tex]

[tex]8d - 4d - 7 = 5d[/tex]

[tex]4d - 7 = 5d[/tex]

[tex]5d = 4d - 7[/tex]

Subtract sides 4d

[tex] - 4d + 5d = - 4d + 4d - 7[/tex]

[tex]d = - 7[/tex]

Thus the correct answer is Option three.

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Answer:

Step-by-step explanation:

Remark

It's a right triangle so you can use a^2 + b^2 = c^2

a = 3

c = 5

3^2 + b^2 = 5^2         Expand

9 + b^2 = 25              Subtract 9 from both sides

b^2 = 25 - 9

b^2 = 16                     Take the square root of both sides.

√b^2 = √16

b = 4

Answer:

a) He substituted 0.8 instead of 0.08.

b) $264

Step-by-step explanation:

Answer:

-8m

Step-by-step explanation:

Combine like terms

−

−

7

{\color{#c92786}{-m}}{\color{#c92786}{-7m}}

−m−7m

−

8

{\color{#c92786}{-8m}}

−8m

Answer:b

Step-by-step explanation:

Answer:

i need more info or i cannot help

Answer: -1

Step-by-step explanation:Solve: 8(7−x)<64.Divide both sides by 8.7−x<6487−x<8Subtract 7 from both sides.−x<8−7−x<1Multiply both sides by −1. This will reverse the inequality.x>−1

Complete question :

i put $100 in a savings account at v% yearly interest. How much money will i have in my account at the end of the year

Answer:

100 + v

Step-by-step explanation:

Given that:

Interest yearly = v%

Amount deposited = principal = $100

Amount earned at the end of the year:

A = P(1 + rt)

A = 100(1 + 0.01v)

A = 100 + v

Where A = final amount

Final amount at the end of the year = 100 + v

Answer:

8

Step-by-step explanation:

AB=DC

BC=AD

BA=CD

CB=DA

Answer:

C (37, 77)

Step-by-step explanation:

[tex]291=2(145)+3\\\\291=290+3\\\\\boxed{291\neq 293}[/tex]

Option A is not a solution.

[tex]163=2(78)+3\\\\163=156+3\\\\\boxed{163\neq 159}[/tex]

Option B is not a solution.

[tex]77=2(37)+3\\\\77=74+3\\\\\boxed{77=77}[/tex]

Option C is a solution.

Hope this helps.

Answer:

C

Step-by-step explanation:

To determine which point is a solution, substitute the x- coordinate into the equation and if the value is equal to the y- coordinate then it is a solution

A (145, 291 )

y = 2(145) + 3 = 290 + 3 = 293 ≠ 291 ← not a solution

B (78, 163 )

y = 2(78) + 3 = 156 + 3 = 159 ≠ 163 ← not a solution

C (37, 77 )

y = 2(37) + 3 = 74 + 3 = 77 ← solution to the equation

Answer:

First choice

Step-by-step explanation:

Answer: Find 9 on the number line and move 5 to the left. The stopping point of 4 is the sum of this expression.

Answer: The answer is C on edge

Step-by-step explanation:

Answer:

Reject H0 if Z ≤ critical value

- 2.8747978 ≤ 1.645

Step-by-step explanation:

Setting the null and alternative hypothesis :

H0 : μ = 3.5

H1 : μ < 3.5

Sample size (n) = 40

Mean (m) = 3 minutes

Standard deviation (s) = 1.1 minutes

Test statistic : Z = (m - μ) / (s/√n)

Z = (3 - 3.5) / (1.1/√40)

Z = - 0.5 / 0.1739252

Z = - 2.8747978

Zcritical at α 0.05 = 1.645

This is a left tailed test :

Hence rejection region:

Reject H0 if Z ≤ critical value

- 2.8747978 ≤ 1.645