help please! 16 points

Answer:

it would take 22 gallons of gas

Step-by-step explanation:

3 divided by 60

that’s the amount of gas per single mile

then that number times 440 (number of miles you wish to go).

Answer:

You can buy 6 because it cost 2.50 for 1 loaf

Step-by-step explanation:

Step-by-step explanation:

x + y = 3 ---------------- eqn 1

y = -6x + 3 ------------- eqn 2

Substitute y for -6x + 3 in equation 1

x + -6x + 3 = 3

x - 6x + 3 = 3

-5x + 3 = 3

Collect like terms

-5x = 3 - 3

-5x = 0

Divide both sides by -5

x = 0

Hope this helped!

Step-by-step explanation:

x + y = 3 ---------------- eqn 1

y = -6x + 3 ------------- eqn 2

Substitute y for -6x + 3 in equation 1

x + -6x + 3 = 3

x - 6x + 3 = 3

-5x + 3 = 3

Collect like terms

-5x = 3 - 3

-5x = 0

Divide both sides by -5

x = 0

Answer:

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

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

Four inches every four and a half pounds

The average rate of change of the length of the spring as the load varies from 5 pounds to 9 pounds is 0.5 inches per pound.

It is a measure of how much the function changes per unit, on average, over the given interval.

We have,

5 pounds loaded on a spring:

The length of the spring is 6 inches.

9 pounds loaded on a spring:

The length of the spring is 8 inches.

The average rate of change in the length of the spring as the load varies:

= (8 - 6) / (9 - 5)

= 2 / 4

= 1 / 2

= 0.5 inches per pound

Thus the average rate of change of the length of the spring as the load varies from 5 pounds to 9 pounds is 0.5 inches per pound.

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Answer:

y = 75 - x

Step-by-step explanation:

From the question, we are given variables, and then we can see that

when x = 75 then y = 0

when x = 30 then y = 45

Finding the difference, we have

slope(m) = (45 - 0) / (30 - 75)

slope(m) = 45 / -45

slope(m) = -1

Next, we use the calculated m, to find b, using the formula

y = mx + b

0 = -1 * 75 + b

0 = -75 + b

b = 75

And finally, to get the needed equation, we say that

so y = mX+c

So that

y = -1 * x + 75

y = -x + 75

or y = 75 - x

Answer:

C

Step-by-step explanation:

Step-by-step explanation:

When rotating a point 90 degrees counterclockwise about the origin our point A(x,y) becomes A'(-y,x). In other words, switch x and y and make y negative

Answer:

1.95

Step-by-step explanation:

Answer:

b = 4

Step-by-step explanation:

you must divide both sides of the equation by -5 to get b by itself. division cancels out multiplication but also keeps both sides equal

b = -20/-5

b = 4

Answer:

x=3y-6

Step-by-step explanation:

x−3y=−6

Step 1: Add 3y to both sides.

x−3y+3y=−6+3y

x=3y−6

Answer:

x=3y−6

Answer:

b = 38

Step-by-step explanation:

The two angles form a 90 degree angle so they add to 90

b+52 = 90

Subtract 52 from each side

b+52-52 =90-52

b = 38

Answer:

38

Step-by-step explanation:

90-52=38

and the little box indicates it's a right angle which is 90 degrees

Answer:

40.62

Step-by-step explanation:

that's the answer I got

Answer:

(-3*6.3x)+(-3*1.5y)

(-18.9x)+(-4.5y)

Its is equal to 9x6=53 Goodluck

Answer:

exponential expression:

8ᵇ = 2

log8(2) = 0.333333333 or 1/3

Answer:

log8(2) = 1/3

Step-by-step explanation:

I don't know if they mean this by an exponential expression but:

set x = log8(2), then

8^x = 8^(log8(2))

By logarithmic properties:

8^x = 2.

notice that 8 = 2^3.

By exponential properties:

8^x = (2^3)^x = 2^(3x)

So 2^(3x) = 2 = 2^1.

Comparing exponents gives:

3x = 1 <=> x = 1/3.

So log8(2) = 1/3.

Answer:

These are the statements. I need help to

Step-by-step explanation:

She is 1.5 times less likely to draw a vowel than a consonant.

She is 1.5 times more likely to draw a vowel than a consonant.

She is twice as likely to draw a consonant as a vowel.

Drawing a vowel and a consonant are equal likely.

Answer:

4/9

Step-by-step explanation:

simplify if you ned

d to

n(s) = 9

n(e) = 6

p(e) = 6/9 = 2/3

Step by step explanation

1. n(s) = Number of sample space

2. n(e) = Number of events

here , question asks to find the probability of marbles that are not blue , that means

red and green so n(e) = 6

3. p(e) = probability

The line is horizontal so the x value of the dot doesn’t matter because the x is a horizontal location.

The vertical distance would be the y value to the line.

-19 to 0 would be 19 and from 0 to 3 is 3

Total distance is 19 + 3 = 22

The answer is 22

Answer:

a.) 36

b.) 18

c.) 27

Step-by-step explanation:

Answer:

Step-by-step explanation:

U={3,6,9,12,15,18}

M={3,12,18}

M'={6,9,15}

The answer is,

U={3,6,9,12,15,18}

M={3,12,18}

M'={6,9,15}

A set is the mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets.

here. given that,

U is the set of all multiples of 3 less than 20,

i.e. U={3,6,9,12,15,18}

and M={3,12,18},

Mc (the complement of M),

i.e. M'={6,9,15}.

Hence, we get, U={3,6,9,12,15,18} ,  M={3,12,18} & M'={6,9,15}.

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Answer:

(195 - 286) ± 1.992 * sqrt((46^2/45) + (58^2/40))

Step-by-step explanation:

Given that:

NEWER CARS:

Sample size = n1 = 45

Standard deviation s1 = 46

Mean = m1 = 195

OLDER CARS:

Sample size = n2 = 40

Standard DEVIATION s2 = 58

Mean = m2 = 286

Confidence interval at 95% ; α = 1 - 0.95 = 0.05 ; 0.05 / 2 = 0.025

Confidence interval is calculated thus : (newer--older)

(m1 - m2) ± Tcritical * standard error

Mean difference = m1 - m2; (195 - 286)

Tcritical = Tn1+n2-2, α/2 = T(45+40)-2 = T83, 0.025 = 1.99 (T value calculator)

Standard error (E) = sqrt((s1²/n1) + (s2²/n2))

E = sqrt((46^2/45) + (58^2/40))

Hence, confidence interval:

(195 - 286) ± 1.992 * sqrt((46^2/45) + (58^2/40))

The 95% confidence interval for estimating the difference in the mean dollar cost of the routine maintenance between newer and older cars is given by:

[tex]CI=(\overline{x_1} - \overline{x_2}) \pm t_{critical} \sqrt{\dfrac{s_1^2}{n_1} + \dfrac{s_2^2}{n_2}}[/tex]

The first sample consists of owners of newer cars

The second sample consists of owner of older cars.

95% confidence interval for difference between both samples' means.

Since the sample sizes are > 30, thus we can use the z table for finding the Confidence interval.

The CI is given as:

[tex]CI=(\overline{x_1} - \overline{x_2}) \pm t_{critical} \sqrt{\dfrac{s_1^2}{n_1} + \dfrac{s_2^2}{n_2}}[/tex]

For 0.95 probability confidence, we have t at 40+45-3= t at 83 at 0.05/2 is 1.992 (from T tables)

Thus,

[tex]CI=(195-268) \pm 1.992 \sqrt{\dfrac{46^2}{45} + \dfrac{58^2}{40}}[/tex]

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Answer:

The answer is below,

Step-by-step explanation:

n+q=205n+25q=400

I hope this helps! :)

Answer:

6

Step-by-step explanation:

3x+1 = 7

3x+1-1 = 7-1

3x = 6

Answer:

B

Step-by-step explanation:

6(7+15)

= 6(7) + 6(15)

= 42 + 90

:D it helps!

Answer:

increasing the strength of the objective lens ,

Answer:

C

Step-by-step explanation:

on edge