A family has two cars. The first car has a fuel efficiency of 35 miles per gallon of gas and the second has a fuel efficiency of 25 miles per gallon of gas. During
one particular week, the two cars went a combined total of 1925 miles, for a total gas consumption of 65 gallons. How many gallons were consumed by each of
the two cars that week?

Answer:

20

Step-by-step explanation:

16/x = 80/100

16/x because 16 is your part and you are trying to find your whole (x)

80 is your part and 100 is your whole (this is from percent)

Cross multiply:

1600 = 80x

1600/80 = x

x = 20

Step-by-step explanation:

16×100÷80

=20

THE TOTAL IS 20

Answer:

About $437.25

Step-by-step explanation:

Using the table which gives the annual premium per $1000; the premium paid annually by the 40 year old male is $437.23

The total annual premium = $75000

Using the data in the table :

Annual premium per $1000 of coverage for a 40-year old male with a 10 - years life insurance policy = $5.83

The annual premium for $75,000 ;

Premium per $1000 × ($75000/$1000)

Annual premium = $5.83 × ($75,000/1000)

Annual premium = $5.83 × 75 = $437.25

Hence, the annual premium for the lifetime insurance based on the stated conditions is $437.25

Answer:

D

Step-by-step explanation:

The true answer is 12 divided by four bu the closest I can see is the last one

Answer:

a

Step-by-step explanation:

Applying the relationship of angle pairs, THE VALUE OF X AND THE GIVEN ANGLE MEASURES ARE:

Given:

m<2 = 3x - 11

m<5 = 7x + 46

Thus, find x:

<2 and <5 are same-side interior angles

m<2 + m<5 = 180 degrees (supplementary)

[tex]3x - 11 + 7x + 46 = 180\\[/tex]

[tex]10x +35 = 180\\\\10x = 180 - 35\\\\10x = 145\\\\\mathbf{x = 14.5}[/tex](Blue)

Find m<5:

Plug in the value of x into 7x + 46

[tex]m \angle 5 = 7(14.5) + 46\\\\\mathbf{m \angle 5 = 147.5^{\circ}}[/tex](Yellow)

Find <4:

m<4 = m<2 (vertical angles are congruent)

m<4 = 3x - 11

m<4 = 3(14.5) - 11

m<4 = 32.5 degrees (Pink)

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To factor an expression is to rewrite the expression in a factored form

The factored expression of 15ab + 24bc is 3b(5a + 8c)

The expression is given as:

15ab + 24bc

Factor out b from the expression

15ab + 24bc = b(15a + 24c)

Factor out 3 from the expression

15ab + 24bc = 3b(5a + 8c)

The expression can no longer be factorized.

Hence, the factored expression of 15ab + 24bc is 3b(5a + 8c)

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Answer:

Rs.5500 is the correct answer .

Answer:

5.3

Step-by-step explanation:

The tenth means the first decimal place. The second 3 shows us that we need to round down, so the answer is just 5.3

Answer:

The answer is 5.3

Step-by-step explanation:

Answer:

x<7

  -8x + 56  =   -8 • (x - 7)

Divide both sides by  -8

Add  7  to both sides

x<7

Answer:

Any answer option is possible with the given information as we are not told where P is located.

Step-by-step explanation:

Here are the options:

IF P = (-2, -4) THEN Q = (-6, -1)

IF P = (-2, -2) THEN Q = (-6, 1)

IF P = (7, -5) THEN Q = (3, -2)

IF P = (6, -2) THEN Q = (2, 1)

Answer:

6 machines

Step-by-step explanation:

Let x be the time needed for 1 machine to complete the job, so rate of one machine is (rate is the reciprocal of time)

[tex] \frac{1}{x} [/tex]

rate of 4 machines would be

[tex]1 \: job = 12 \times \frac{4}{x} = \frac{48}{x} \\ 1 \: macine \: takes \: 48 \: days[/tex]

[tex] \frac{48 \: days \: per \: machine}{8 \: days} = 6 \: machines[/tex]

Answer:

The two lines are neither parallel nor perpendicular to one another.

Step-by-step explanation:

The slope [tex]m[/tex] gives the orientation of a line.

Make sure that the equation of both lines are in the slope-intercept form [tex]y = m\, x + b[/tex] (where [tex]m\![/tex] is the slope and [tex]b[/tex] is the [tex]y[/tex]-intercept) before comparing their slopes.

The equation of the first line [tex]y = 3\, x - 5[/tex] is already in the slope-intercept form. Compare this equation with the standard [tex]y = m\, x + b[/tex]. The slope of this line would be [tex]m = 3[/tex].

Rewrite the equation of the second line [tex]9\, x + 3\, y = 1[/tex] to obtain the slope-intercept equation of that line:

[tex]3\, y = -9\, x + 1[/tex].

[tex]\displaystyle y = -3\, x + \frac{1}{3}[/tex].

Thus, the slope of this line would be [tex]m = (-3)[/tex].

Two lines are parallel to one another if and only if their slopes are equal. In this question, [tex]3 \ne (-3)[/tex]. Thus, the two lines are not parallel to one another.

On the other hand, two lines are perpendicular to one another if and only if the product of their slopes is [tex](-1)[/tex]. In this question, [tex]3\times (-3) = (-9)[/tex], which is not [tex](-1)\![/tex]. Thus, these two lines are not perpendicular to one another, either.

Since f(x) is (strictly) increasing, we know that it is one-to-one and has an inverse f^(-1)(x). Then we can apply the inverse function theorem. Suppose f(a) = b and a = f^(-1)(b). By definition of inverse function, we have

f^(-1)(f(x)) = x

Differentiating with the chain rule gives

(f^(-1))'(f(x)) f'(x) = 1

so that

(f^(-1))'(f(x)) = 1/f'(x)

Let x = a; then

(f^(-1))'(f(a)) = 1/f'(a)

(f^(-1))'(b) = 1/f'(a)

In particular, we take a = 2 and b = 7; then

(f^(-1))'(7) = 1/f'(2) = 1/5

The function f(x) is an increasing function about which little else is known about other than f(2)=7 and f'(2)=5. Then the value of (f⁻¹)'(7) is 1/5

To find (f⁻¹)'(7), we can use the inverse function theorem. The formula for the derivative of the inverse function is given by:

[tex](f^{-1})'(y) = \frac{1}{f'(x)},[/tex]

where y = f(x). Since we know that f(2) = 7 and f'(2) = 5, we have x = 2 and y = 7. Substituting these values into the formula:

[tex](f^{-1})'(7) = \frac{1}{f'(2)} = \frac{1}{5}.[/tex]

Therefore,

[tex](f^{-1})'(7) = \frac{1}{5}.[/tex]

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Answer:

$32.2

Step-by-step explanation:

28/100×15%= 32.2

The appropriate statistic to use in the analysis is that of repeated measures.

Repeated measures is a term for a way of collecting, analyzing, and evaluating statistics that involve multiple measures of the same variable or Subject.

According to the above, repeated measures are the appropriate statistic for the analysis of the blood pressure rate during three specific moments.

Note: This question is incomplete because the options are missing. Here are the options.

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Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

First, it is going upwards from left to right so we know it'll be positive. Then we do the following:

[tex]\frac{rise}{run}=\frac{change.in.y}{change.in.x}=\frac{y_{2} -y_{1}}{x_{2} -x_{1}}=\frac{0--1}{2-0}=\frac{0+1}{2-0}=\frac{1}{2}[/tex]

("." in the second fraction is for separate words)

So the slope is [tex]\frac{1}{2}[/tex]

Hope this helps, have a nice day! :D

Answer:

see picture

Step-by-step explanation:

Answer:

205

Step-by-step explanation:

3×60 + 25 = 205

therefore 3 minutes and 25 seconds is 205 seconds

Answer:

Step-by-step explanation:

in the picture

Answer:

24

Step-by-step explanation:

the first time the rate was half the baskets, so the second time staying at the same rate it would be half the baskets again, which is 24.

Answer:

f(x) = (x - 3)²- 2

Step-by-step explanation:

Given the graph of f(x), where it has the same shape as the graph of g(x) = x², but is shifted right by 3 units, and down by 2 units.

The horizontal translation of the parent graph parabola, g(x) = x²,  is represented by y = (x - h)², where the graph shifts by h units to the right, such that h > 0.  

The vertical translation of the parent graph is represented by y = f(x - h)² - k, where the graph is vertically translated by |k | units downward, such that k < 0.

Therefore, the equation that represents the vertical and horizontal translations of the graph is: f(x) = (x - 3)²- 2.

Step-by-step explanation:

Can You Explain In Brief?

Answer:

where are the statements

please check it

what the holligram

i dont know

Answer:

Step-by-step explanation:

Use vector addition

d = √(15² + 30²) = √1125 = 33.54...≈ 34 m

The tangential speed of the tip of this hour hand is 0.143 mm/s.

The tangential speed v = rω where r = length of hour hand = 8.2 cm = 0.082 m and ω = angular speed = 2π/T where T = period of hour hand = 60 min = 60 min × 60 s/min = 3600 s.

Substituting the values of the variables into the equation, we have

v = rω

v = r2π/T

v = 0.082 m × 2π/3600 s

v = 0.164π/3600 m/s

v = 0.5152/3600 m/s

v = 0.000143 m/s

v = 0.143 mm/s

So, the tangential speed of the tip of this hour hand is 0.143 mm/s.

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Answer:

0.00001 m/s, 1 X 10^-4 m/s, 0.000012 m/s, or 1.2 X 10^-5 m/s

–––––––––––––––––––––––––––––––––––––––––––––––––––––––

Step-by-step explanation:

12 • 60 = 720

720 • 60 = 43,200

8.2 / (43200•24) = ~0.00001 m/s

Answer:

1/6

Step-by-step explanation:

Probability that it does not snow either day is [tex]\frac{13}{144}[/tex]

"Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are."

We have

The Probability that it will snow on Monday is [tex]\frac{8}{9}[/tex]

The Probability that it will snow on Tuesday is [tex]\frac{3}{16}[/tex]

According to the question,

The probability that it does not snow on Monday = 1 - [tex]\frac{8}{9}[/tex] = [tex]\frac{1}{9}[/tex]

The probability that it does not snow on Tuesday = 1 - [tex]\frac{3}{16}[/tex] = [tex]\frac{13}{16}[/tex]

So, the probability that it does not snow either day

= [tex]\frac{1}{9}[/tex] ×[tex]\frac{13}{16}[/tex]

= [tex]\frac{13}{144}[/tex]

Hence, Probability that it does not snow either day is  [tex]\frac{13}{144}[/tex] .

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Answer:

y = x+18

Step-by-step explanation:

I'm not too sure about the terminology but I hope this helps!

In order to find the equation of any line, one can use the equation

(3,21) is the first named point; therefore, 3=x1 and 21=y1

Following the same logic, for the second point, 8=x2 and 26=y2.

Next, substitute these values into the equation above:

m = (21-26)÷(3-8)

m = -5/-5 = 1

Therefore, the gradient of this line is 1. So far our y=mx+c line equation has this information:

y=1x+c

Plugging in x and y values gives the y intercept (c):

21=3+c    (the values from point (8,26) can also be used here)

c = 18

Therefore, the line equation is y = x + 18

As a function, this could be f(x) = x + 18 (although I'm not too sure about this part!)

I hope this helped.

Answer: 5 : 3, 10: 6, 25: 15

Step-by-step explanation: We know from our original ratio that for every 5 peanuts, we have 3 cashews. Therefore 5:3, to get to 6 from 3, we have to double it, and whatever we do to the last number, we have to do to the first, so we get 10:6. We can continue this process for 15:9, 20:12, 25:15

Answer:

Step-by-step explanation:

To complete the steps to demonstrate why you multiply by the reciprocal when dividing fractions.

To find

Step 1:

Rewrite it as

.

Step 2:

Multiply the numerator and the denominator by the reciprocal of

.