In a 5-day work week, Matt puts 175 miles on his car. His wife, Sarah, puts 100 more miles on her car than he does in the same amount of time. How many total miles will they put on their cars in 28 work days?
A. 1560
B. 2520
C. 2780
D. 2940

ASAPPPPP

Answer:

the right answer is : -3

Step-by-step explanation:

[tex]\left \{ {{x+y=4} \atop {3x+4y=14}} \right. \\\left \{ {{-3(x+y)=-3*4} \atop {3x+4y=14}} \right. \\\left \{ {{-3x-3y=-12} \atop {3x+4y=14}} \right. \\\left \{ {{-3x-3y+3x+4y=2} \atop {3x+4y=14}} \right. \\\left \{ {{-3y+4y=2} \atop {3x+4y=14}} \right. \\\left \{ {{y=2} \atop {3x+4*2=14}} \right. \\\left \{ {{y=2} \atop {3x=14-8=6}} \right. \\\left \{ {{y=2} \atop {x=\frac{6}{3}=2 }} \right.[/tex]

Answer:

the answer for the volume of the cylinder is V≈25.13in³

Answer:

h=2         d=4  

r=4/2  , radius is half of the diameter

r=2

V=π  r^2h

V= π x (2)²×2

substitute variables into formula V=25.132741228718

the nearest tenths place V=25.1 inches

Answer:

d

Step-by-step explanation:

Answer:

7 days

Step-by-step explanation:

Based on the amount of iced tea in the pitcher and the amount drank per day, you will run out of iced tea in 7 days.

The total number of cups drank per day is:

= 0.75 + 1.75

= 2.5 cups

With 2.5 cups being drank per day, the pitcher would last:

= Pitcher quantity / Cups per day

= 17.5/2.5

= 7 days

In conclusion, you will run out after 7 days.

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Answer:

a)

Theoretical: 10/30 = 1/3

Experimental: 12/30 = 6/15

Step-by-step explanation:

the theoretical probability is if every number was rolled an equal amount of times. as there are 3 options and a number was chosen 30 times, if we divide 30 by 3 we will get the theoretical probability of choosing a 2

30 ÷ 3 = 10

the theoretical probability = 10/30 or simplified 1/3

the experimental probability is the result when one of the numbers from

1 to 3 were actually randomly selected 30 times. the chart shows that the 2 was selected 12 times out of 30 therefore the experimental probability = 12/30 or simplified 6/15

Theoretical:

fraction: 1/3

decimal: 0.33∞

percentage: 33%

Experimental:

fraction: 6/15

decimal: 0.4

percentage: 40%

I hope this was helpful :-)

Answer:

The return on investment in dollar terms is $700

The return on investment as a percentage of cost of investment is 7%

Step-by-step explanation:

The return on investment is the value of the investment when liquidated minus the initial amount invested

Liquidated amount is $10,700

initial cost is $10,000

return on investment in dollar terms=$10,700-$10,000=$700

return on investment in % terms=dollar return on investment/initial cost of investment

dollar return is $700

initial cost of investment is $10,000

return on investment in % terms=$700/$10,000=7%

Answer:

7x=42

Solve:

7x=42

7x=42/7

/7

x = 6

6 is the maximum cost lisa can spend for each party favor bag.

Multiply both sides by 9.

x/9 = 3

(x/9) * (9) = (3) * (9)

x=27

The solution of the expression x/9 = 3 is,

⇒ x = 27

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

The expression is,

⇒ x/9 = 3

Now, Simplify the expression as;

⇒ x/9 = 3

Multiply by 9, we get;

⇒ 9 × x/9 = 9 × 3

⇒ x = 27

Thus, The solution is,

⇒ x = 27

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Answer:

B

Step-by-step explanation:

175 is the yearly cost which is the constant

The cost is related to the miles so that’s why they’re multiplied together

The total amount of reimbursement the company offers will be C = 0.45x + 175. Then the correct option is B.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Joseph's company offers a reimbursement package of $0.45 per mile plus $175 a year for maintenance.

Let 'x' be the number of miles and 'C' be the number total amount. Then the equation of the line is given as,

C = 0.45x + 175

The total amount of reimbursement the company offers will be C = 0.45x + 175. Then the correct option is B.

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Answer:

[tex]{f}^{ - 1}(x) = \frac{x + 11}{ - 5} [/tex]

Step-by-step explanation:

[tex]f(x) = - 5x - 11 \\ - 5x - 11 =x \\ - 5x = x + 11 \\ {f}^{ - 1}(x) = \frac{x + 11}{ - 5} [/tex]

Answer:

c is 120 degrees

Answer:

Options B and D.

Step-by-step explanation:

The general form of sine function

[tex]h(x)=A\sin (Bx+C)+D[/tex]

where, |A| is amplitude, [tex]\frac{2\pi}{B}[/tex] is period, [tex]\frac{-C}{B}[/tex] is phase shift and D is y-intercept.

The general form of cosine function

[tex]h(x)=A\cos (Bx+C)+D[/tex]

where, |A| is amplitude, [tex]\frac{2\pi}{B}[/tex] is period, [tex]\frac{-C}{B}[/tex] is phase shift and D is y-intercept.

In function, [tex]f(x)=-\sin x-1[/tex]

Amplitude : [tex]|A|=1[/tex]

y-intercept : -1

In function, [tex]f(x)=-2\sin x-1[/tex]

Amplitude : [tex]|A|=2[/tex]

y-intercept : -1

In function, [tex]f(x)=-\cos x[/tex]

Amplitude : [tex]|A|=1[/tex]

y-intercept : 0

In function, [tex]f(x)=-2\cos x-1[/tex]

Amplitude : [tex]|A|=2[/tex]

y-intercept : -1

Therefore, the correct options are B and D.

Answer:

B

Step-by-step explanation:

edge2020 quiz

Answer:

576

Step-by-step explanation:

First off, we can use the area of a kite formula, (D1*D2)/2 to get the area of one side of the kite, which is simplified to 18 * 32 : which gets us 288. But because we are looking for the area of the front and back side, we multiply 288 by 2- getting the final answer of 576.

Answer:

576

Step-by-step explanation:

Answer:

a. 0

Step-by-step explanation:

hope this helps!

The solutions to the equation n³+3n²+n-33=0 are n=-11, n=-3, and n=1.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Given that, 9/(n²+1) = (n+3)/4.

Here, 9×4=(n²+1)×(n+3)

36=n²(n+3)+1(n+3)

36=n³+3n²+n+3

n³+3n²+n+3-36=0

n³+3n²+n-33=0

The equation n³+3n²+n-33=0 can be solved by factoring. The factors of -33 are -1 and 33. Since the coefficient of the n³ term is 1, this means that n-1 and n+33 are factors of the equation.

Dividing both sides of the equation by n-1, we get:

n²+3n+33/(n-1)=0

Factorizing the numerator, we get:

(n+11)(n+3)=0

Solving this equation, we get n=-11 and n=-3.

Therefore, the solutions to the equation n³+3n²+n-33=0 are n=-11, n=-3, and n=1.

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Answer:

Multiply (2 * 16)

Step-by-step explanation:

Our expression is 13 - 2 * 16 + 2. The two operations used here are addition (+) and multiplication (*).

Remember order of operations PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction.

We see that multiplication comes before addition, so we multiply 2 by 16 first:

13 - 2 * 16 + 2

13 - 32 + 2

Thus, the answer is multiply.

~ an aesthetics lover

Answer:

multiply

[tex](2 \times 16)[/tex]

Step-by-step explanation:

you have to do this sum according to BODMAS Theorem

so,

[tex]13 - 2 \times 16 + 2 \\ 13 - 32 + 2 \\ 13 - 30 \\ = ( - 17)[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

1. 45 megabytes

2. 50 megabytes

Step-by-step explanation:

Given

S(t) = 5t + 45

Required

Find S(t) when the transfer began

And find the additional transfer size at interval of 10 seconds

When the file transfer initially began, the value of t is 0.

Given that S(t)=5t+45.

Substitute 0 for t

S(0)=5 * 0 + 45

S(0) = 0 + 45

S(0) = 45.

Hence, the hard drive had 45 megabytes on it when the transfer started.

At every interval of 10 seconds. We take t to be 10, 20, 30...seconds

When t = 10

S(t)=5t+45 becomes

S(10) = 5(10) + 45

S(10) = 50 + 45

S(10) = 95 megabytes

When t = 20

S(t)=5t+45 becomes

S(20) = 5(20) + 45

S(20) = 100 + 45

S(20) = 145 megabytes

When t = 30

S(t)=5t+45 becomes

S(30) = 5(30) + 45

S(30) = 150 + 45

S(30) = 195 megabytes

Calculating the difference

Difference = S(30) - S(20) or S(20) - S(10)

Difference = 195 - 145 or 145 - 95

Difference = 50 or 50

See that the difference is the same.

So, at every 10 seconds interval, there's an additional 50 megabytes transferred

Answer:

6550

Step-by-step explanation:

You can put this solution on YOUR website!

Call the number of hardcover and paperback books, h and p.

Thus  

h + p = 8 and the value equation is

4h + 2p = 26

Now multiply the top one by four and subtract from the second one...we get

4h + 2p = 26

-(4h + 4p = 32)

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

-2p = -6

p = 3 so that

h = 5   x +  y = 8,    (1)

4x + 2y = 26,   (2)

where x and y are the numbers of hardcover and softcover books respectively.

To solve, multiply the equation (1) by 2 (both sides) and then distract it from the equation (2). You will get

4x - 2x = 26 - 16,   or

2x = 10,   or   x = 5 - the number of hardcover books purchased.

Then from the equation (1) you get y = 3.

Check. 4*x + 2*3 = 4*5 + 2*3 = 26. OK.

Answer:

q > 27/61

Step-by-step explanation:

50q + 43 > -11q +70

Add 11 q to each side

50q+11q + 43 > -11q+11q +70

61q +43 > 70

Subtract 43 from each side

61q+43-43 > 70-43

61q > 27

Divide each side by 61

61q/61 >27/61

q > 27/61

Answer:

q > 27/61

Step-by-step explanation:

hope this helps!!

Answer:10x^2+11xy-6y^2

Step-by-step explanation:

( 2 x + 3 y ) ( 5 x − 2 y )  = 2 x ( 5 x − 2 y ) + 3 y ( 5 x − 2 y )

= 10 x 2 − 4 x y + 15 x y − 6y 2

= 10 x 2 + 11 x y -6 y 2 .

Step-by-step explanation:

Step 1:  Solve using the first point

(2, 28)

[tex]28 = a(2)^3 + b(2)^2 + c(2) + d[/tex]

[tex]28 = 8a + 4b + 2c + d[/tex]

Step 2:  Solve using the second point

(-1, -5)

[tex]-5 = a(-1)^3 + b(-1)^2 + c(-1) + d[/tex]

[tex]-5 = -a + b - c + d[/tex]

Step 3:  Solve using the third point

(4, 220)

[tex]220 = a(4)^3 + b(4)^2 + c(4) + d[/tex]

[tex]220 = 64a + 16b + 4c + d[/tex]

Step 4:  Solve using the fourth point

(-2, -20)

[tex]-20 = a(-2)^3 + b(-2)^2 + c(-2) + d[/tex]

[tex]-20 = -8a + 4b - 2c + d[/tex]

Step 5:  Combine the first and fourth equations

[tex]28 - 20 = 8a - 8a + 4b + 4b + 2c - 2c + d + d[/tex]

[tex]8 = 8b + 2d[/tex]

[tex]8 - 8b = 8b - 8b + 2d[/tex]

[tex](8 -8b)/2 = 2d/2[/tex]

[tex]4 - 4b = d[/tex]

Step 6:  Solve for c in the second equation

[tex]-5 + 5 = -a + b - c + d + 5[/tex]

[tex]0 + c = -a + b - c + c + d + 5[/tex]

[tex]c = -a + b + d + 5[/tex]

Step 7:  Substitute d with the stuff we got in step 5

[tex]c = -a + b + (4 - 4b) + 5[/tex]

[tex]c = -a + b + 4 - 4b + 5[/tex]

[tex]c = -a - 3b + 9[/tex]

Step 8:  Substitute d and c into the first equation

[tex]28 = 8a + 4b + 2(-a - 3b + 9) + (4 - 4b)[/tex]

[tex]28 = 8a + 4b - 2a - 6b + 18 + 4 - 4b[/tex]

[tex]28 - 22 = 6a - 6b + 22 - 22[/tex]

[tex]6 / 6 = (6a - 6b) / 6[/tex]

[tex]1 + b = a - b + b[/tex]

[tex]1 + b = a[/tex]

Step 9:  Substitute a, b, and c into the third equation

[tex]220 = 64(1 + b) + 16b + 4(-(1 + b) - 3b + 9) + (4 - 4b)[/tex]

[tex]220 = 64 + 64b + 16b + 4(-1 - b - 3b + 9) + 4 - 4b[/tex]

[tex]220 - 100 = 60b + 100 - 100[/tex]

[tex]120 / 60 = 60b / 60[/tex]

[tex]2 = b[/tex]

Step 10:  Find a using b = 2

[tex]a = b + 1[/tex]

[tex]a = (2) + 1[/tex]

[tex]a = 3[/tex]

Step 11:  Find c using a = 3 and b = 2

[tex]c = -a - 3b + 9[/tex]

[tex]c = -(3) - 3(2) + 9[/tex]

[tex]c = -3 - 6 + 9[/tex]

[tex]c = 0[/tex]

Step 12:  Find d using b = 2

[tex]d = 4 - 4b[/tex]

[tex]d = 4 - 4(2)[/tex]

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

[tex]d = -4[/tex]

Answer:  [tex]a = 3, b = 2, c = 0,d = -4[/tex]

Answer:

a = 3

b = 2

c = 0

d = -4

Step-by-step explanation:

Form 4 equations and solve simultaneously

28 = a(2)³ + b(2)² + c(2) + d

28 = 8a + 4b + 2c + d (1)

-5 = -a + b - c + d (2)

220 = 64a + 16b + 4c + d (3)

-20 = -8a + 4b - 2c + d (4)

(1) + (4)

28 = 8a + 4b + 2c + d

-20 = -8a + 4b - 2c + d

8 = 8b + 2d

d = 4 - 4b

Equation (2)

c = -a + b + d + 5

c = -a + b + 4 - 4b+ 5

c = -a - 3b + 9

28 = 8a + 4b + 2c + d (1)

28 = 8a + 4b + 2(-a - 3b + 9) + 4 - 4b

28 = 6a - 6b + 22

6a - 6b = 6

a - b = 1

a = b + 1

220 = 64a + 16b + 4c + d (3)

220 = 64(b + 1) + 16b + 4(-b - 1 - 3b + 9) + 4 - 4b

220 = 60b + 100

60b = 120

b = 2

a = 2 + 1

a = 3

c = -3 - 3(2) + 9

c = 0

d = 4 - 4(2)

d = -4

Answer:

3.5

Step-by-step explanation:

1 / 3

First, let's find the mean.

\dfrac{26+31+39+32}{4} = \dfrac{128}{4}= \blueD{32} \text{ putts}  

4

26+31+39+32

​  

=  

4

128

​  

=32 puttsstart fraction, 26, plus, 31, plus, 39, plus, 32, divided by, 4, end fraction, equals, start fraction, 128, divided by, 4, end fraction, equals, start color #11accd, 32, end color #11accd, start text, space, p, u, t, t, s, end text

Hint #22 / 3

Next, let's find the distance each data point is from the mean.

Data point Distance from the mean

262626 \blueD{32}-26 = 632−26=6start color #11accd, 32, end color #11accd, minus, 26, equals, 6

313131 \blueD{32}-31 = 132−31=1start color #11accd, 32, end color #11accd, minus, 31, equals, 1

393939 39-\blueD{32} = 739−32=739, minus, start color #11accd, 32, end color #11accd, equals, 7

323232 32-\blueD{32} = 032−32=032, minus, start color #11accd, 32, end color #11accd, equals, 0

Hint #33 / 3

The mean absolute deviation (MAD) is the mean of the distances from the mean.

\dfrac{6+1+7+0}{4} = \dfrac{14}{4}= 3.5\text{ putts}  

4

6+1+7+0

​  

=  

4

14

​  

=3.5 putts  I hope it helps.

Answer:

C

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Mean: 10.5

Median: 10.5

Range: 5

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

To find the mean you order the numbers then add then divide.

Add

8+9+10+10+10+11+11+11+12+13=105

Divide

105÷10=10.5

Mean = 10.5

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

Finding the median essentially involves finding the value in a data sample that has a physical location between the rest of the numbers.

Find the middle number. Put your left finger on 8 and your right finger on 13. Move your left finger to the right to 10 and move your right finger to 11.

the middle number is 10.5 so therefore it is the median.

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

To find the range you subtract the biggest number to the smallest number.

Subtract

13-8=5

Therefore 5 is the range

Answer:

The median is 10.5 the range is 5 and the mean is 10.5

Step-by-step explanation:

To find the median you have to cross out each number till you get 2 since there are 10 numbers together then add 10 and 11 and get 21 divide by 2 which gives you 10.5 to find the mean add all the numbers then divide 105 by 10 and get 10.5 to find the range take 13-8 and get 5

Answer:

negative 3

Step-by-step explanation:

Mark brainlest

Epert verifyied

Answer:

88

Step-by-step explanation:

you do 120-32

Answer:

x = 58 degrees

Step-by-step explanation:

angle x and the 32 degree angle add up to 90 degrees.

so 90 - 32 = 58 degrees

Answer:

C

Step-by-step explanation:

It cannot be A because it is a parabola, and what that means is the x^2. So, we can immediately eliminate that. This is because if you do a sketch of it it was the "U" shape. I am not positive, but I think that it is C because of the pattern going on in the y-coordinate. It goes +2, +4, then presumably +6. So then the (0,y) is (0,12). This would mean that the equation would end with +12. That is why C is the best choice. I hope that answered your question, and is correct!

Answer:

Its b got it correct

The total monthly mortgage payment for the house is $975.63

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

here, we have,

The principle amount is $175000

80% of 175000 is =  = $140000

20% of 175000 is =  = $35000

Emi formula is :

p*r*(1-r)^n/(1-r)^n-1

For 1st part:

p = 140000

r = 4.75/12/100=0.00395

n = 360

Putting values in formula we get

= $729.508

For 2nd part:

p = 35000

r = 7.525/12/100=0.00627

n = 360

Putting values in formula we get

= $245.301

Adding both the monthly payments:

974.809 dollars

This is closest to option A.

So, option A is the answer.

And for 30 years the mortgage payment will be = 351226.80 dollars

Hence, The total monthly mortgage payment for the house is $975.63.

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Answer:

Step-by-step explanation:

Let x be the random variable representing the length of an oarfish. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = standard deviation

The given probability value is 16% = 0.16. From the normal distribution table, the z score corresponding to the probability value is - 0.99

This indicates that the sample mean is lower than the population mean

Therefore,

- 0.99 = (x - 6.5)/1.5

- 0.99 × 1.5 = x - 6.5

- 1.5 = x - 6.5

x = - 1.5 + 6.5

x = 5m

The correct answer is

oarfish that are shorter than 5 m

Answer:

oarfish that are shorter than 5

oarfish that are longer than 8 m

I Just took the test!

Answer:

1. 20 + 2x ≤ 60

2. Yes, see explanation

Step-by-step explanation:

Let x equal the amount of exercises Anna can perform.

The inequality will look like this:

20 + 2x ≤ 60

Let's go over each of the values and why there in the equation.

20: The amount of minutes Anna has already spent in the gym

2: The amount of minutes per exercise

x: The amount of exercises Anna can perform

≤: The amount of exercises must be less than or equal to the amount of time Anna is willing to spend in the gym.

60: The amount of minutes in an hour; the amount of time Anna is willing to spend at the gym.

Now, plug in 18 for x for question 2.

20 + 2(18) ≤ 60

Evaluating 2*18, the inequality becomes 20 + 36 ≤ 60.

Evaluating 20 + 36, the inequality becomes 56 ≤ 60.

Since 56 is less than 60, we can determine that Anna has time to do 18 more exercises.