There are 4 consecutive integers with a sum of –278. What is the greatest of the 4 integers?

Answer:

the answer is 115 degrees

Step-by-step explanation:

x is opposite of 115 and would be the same because they are congruent

Answer:

8

Step-by-step explanation:

8/3 * 3/1 = 24/3= 8

MATHEMATICALLY WE SAY

[tex] - 2 < x \leqslant 3[/tex]

THE CIRCLE AT THE ENDPOINT OF THE LINE WHICH IS NOT SHADED MEANS NOT INCLUDED AND THE SHADED CIRCLE MEANS INCLUDED

HOPE THIS HELPS.

The ratio of the length of the car to the length of the model is 15 : 1.

A ratio compares values. Ratio, is a term that is used to compare two or more numbers. in a simpler terms,  a ratio shows how many times one number contains another.

Therefore, the car is 10 feet long and the model is 8 inches long.

Hence, the ratio of the length of the car to the length of the model can be calculated as follows:

10 ft = 120 inches

Hence,

120 inches : 8 inches

let's reduce it by dividing by 8

120 / 8  : 8 / 8

Therefore, the ratio is 15 : 1

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Answer: the model car sold for $34, at a 15% discount.

Step-by-step explanation:

first multiply 5% by 3 days, for a total discount of 15%.

then apply the 15% discount to the $40 car, arriving at a price of $34.

Answer:

The car sold for 34 .

Step-by-step explanation:

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The figures in this problem are classified as follows:

The quadrilaterals, parallelograms and rectangles are classified as follows:

Hence, Figure RSTU, as the diagonals are congruent, is classified as all three of these characteristics.

For Figure KLMN, the opposite sides and angles are parallel, hence it is also a parallelogram, while ABCD is only a quadrilateral, as there is not enough information about the sides/angles.

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Answer:

y=-8

just do it

Step-by-step explanation:

have a nice evening

Step-by-step explanation:

a slope-intercept form :

y = ax + b

"a" is the slope, "b" is the y-intercept (the y-value when x = 0).

the slope is the ratio (y coordinate change / x coordinate change) when moving from on point on the line to another.

"b" we can read off the graph : when x = 0, then y = -5.

so, b = -5.

for the slope let's pick 2 points. your teacher has kindly marked already points with integer coordinates.

so, I pick (3, 1) and (4, 3).

x changes by +1 (from 3 to 4).

y changes by +2 (from 1 to 3).

so, the slope is

+2/+1 = 2/1 = 2

the equation is

y = 2x - 5

Answer: y=2x-5

Step-by-step explanation:

Choose two points on the graph: (0,-5) and (3,1)

The straight line equation is: y=mx+b

1)

             [tex]\displaystyle\\\boxed {The\ slope\ m\ =\frac{y_2-y_1}{x_2-x_1} }[/tex]

[tex]\displaystyle\\x_1=0\ \ \ \ \ x_2=3 \ \ \ \ y_1=-5\ \ \ \ y_2=1\\\\ Hence,\\\\m=\frac{1-(-5)}{3-0} \\\\m=\frac{1+5}{3} \\\\m=\frac{6}{3} \\\\m=2\\\\Thus,\ y=2x+b\ \ \ \ \ (1)[/tex]

2)

To determine the coefficient b, take any of the two points,

for example, (0,-5), that is, x=0 y=5

Substitute these values into formula (1):

[tex]-5=2*0+b\\-5=0+b\\-5=b\\Thus,\ b=-5[/tex]

The result is y=2x-5

The linear equation which represents the situation or the amount of water in the bathtub in terms of the number of minutes is y = 7x + 18.

A straight line on the coordinate plane is represented by a linear function.

In another word, a linear function is a function that varies linearly with respect to the changing variable.

Let's suppose the number of minutes by x and the amount of water by y

As per the given question,

The amount of water (y) initially (x = 0) is 18 gallons.

The first point (0,18).

The amount of water (y) at x = 5 is 53 gallons.

The second point (5,53).

The linear equation is given as y = mx + c where m is the slope.

Slope m = (53 - 18)/(5 - 0) = 7

Substitute (0,18) →

18 = 7(0) + c

c = 18

So the equation become as,

y = 7x + 18.

Hence "The linear equation which represents the situation or the amount of water in the bathtub in terms of the number of minutes is y = 7x + 18".

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N is the set of natural numbers that are factors of 20={1,2,4,5,10,20}

Factors: A factor is a number that divides another number, leaving no remainder. In other words, if multiplying two whole numbers gives us a product, then the numbers we are multiplying are factors of the product because they are divisible by the product. There are two methods of finding factors: multiplication and division.

given in the question that, N is the set of natural numbers that are factors of 20

factors of 20 are = 1,2,4,5,10,20

so the set of factors of 20 is={1,2,4,5,10,20}

4th option is correct

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Answer:

It should be (1, 2, 4 , 5, 10, 20)

Answer:

9(x+3)

Step-by-step explanation:

9x + 27

Taking 9 as the common factor in the 2 terms

=> 9(x) + 9(3)

=> 9(x+3)

A = 10% alcohol solution

B = 55% alcohol solution

we know we have 75 mL of A, that means A itself since it's 10% alcohol, really only has 75 * (10/100) = 7.5 mL of alcohol, likewise the B solution has say "x" mL, so alcohol wise it only has "x" * (55/100) = 0.55x, and we have a final mixture we need of say "y" mL at 30% alcohol.

[tex]\begin{array}{lcccl} &\stackrel{solution}{quantity}&\stackrel{\textit{\% of }}{amount}&\stackrel{\textit{mL of }}{amount}\\ \cline{2-4}&\\ A&75&0.10&7.5\\ B&x&0.55&0.55x\\ \cline{2-4}&\\ mixture&y&0.30&0.3y \end{array}~\hfill \begin{cases} 75+x=y\\\\ 7.5+0.55x=0.3y \end{cases} \\\\[-0.35em] ~\dotfill[/tex][tex]\stackrel{\textit{using the 1st equation}}{75+x=y}\hspace{12em}\stackrel{\textit{substituting on the 2nd equation}}{7.5+0.55x=0.3(75+x)} \\\\\\ 7.5+0.55x=22.5+0.3x\implies 0.55x=15+0.3x\implies 0.25x=15 \\\\\\ x=\cfrac{15}{0.25}\implies {\Large \begin{array}{llll} x=60 \end{array}} ~mL[/tex]

Answer:

x=25

Step-by-step explanation:

2(x-7) = 36

x-7 = 18

x = 25

:]

Answer:

-15, so option 1: -15

Step-by-step explanation:

We know that adding (-9) is the same as substracting 9.

So -6 + (-9) = -6 - 9 = -15

Answer:

- Shape A is congruent to Shape B because if you were to rotate one of the two and flip it the would like up and match.

The domain and the range of the function are given as follows:

In the context of this problem, the domain is the time in minutes remaining until Gilroy reaches home, hence it is given by the following interval:

Domain: 0 ≤ Minutes ≤ 12.

The range is given by the distance that he has to drive until he reaches home, hence it is given by the following interval:

Range: 0 ≤ Miles ≤ 10.

The graph for us to verify the domain and range is missing, and it is given by the image at the end of the answer.

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The essay will need to be in your own words of course, but the basic idea is to replace x with 0 and solve for y to get the y intercept. To get the x intercept, replace y with 0 and solve for x.

Here's an example

2x+5y = 10

Let's find the x intercept

2x+5y = 10

2x+5(0) = 10

2x = 10

x = 5 is the x intercept

Now we'll do the y intercept

2x+5y = 10

2(0)+5y = 10

5y = 10

y = 10/5

y = 2 is the y intercept

The x intercept is the location where the graph crosses the x axis. The y intercept is where the graph crosses the y axis.

On making b the subject , the formula is b =  (5/3)a  .

in the question ,

it is given that

the formula is a = 3(2a-b), where the subject is a ,

we have to rewrite the formula with b as the subject .

So, the given formula is

a = 3(2a-b)

simplifying the RHS , we get

a = 3*2a - 3*b

a = 6a - 3b

on re arranging the terms , we get

3b = 6a - a

3b = 5a

Dividing both sides by 3 ,we get

3b/3 = 5a/3

Cancelling out 3 from LHS , we get  

b = 5a/3

b = (5/3)a

Therefore , On making b the subject , the formula is b =  (5/3)a  .

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Answer:

x=27

Step-by-step explanation:

3x-17+2x-5+x+40=180

6x=162

x=27

:]

Answer:

I think the answer would be C, because

Step-by-step explanation:

Example:

If in 6(x) years Robert is 16(k), how old was he 3(m) years ago?

First, you would have to find out how old Robert is now, 16-6=10

Then, you would take 10, his current age, and subtract 3(m) 10-3=7

I hope this helped, good luck!

Since Robert will be [tex]k[/tex] years old in [tex]x[/tex] years, he must be [tex](k-x)[/tex] years old now.

Robert was [tex](k-x)-m[/tex] years old; [tex]m[/tex] years ago.

The answer is C.

Answer:

Step-by-step explanation: X=-5,-4,-3,-2,-1 Y= -2,-3,-4,-3,-2

Answer:

N=PD-2

Step-by-step explanation:

1. multiply both sides by D

[tex]pd = n + 2[/tex]

2.subtract 2 from both sides.

[tex]pd - 2 = n[/tex]

For the given number 395,621 round off it to nearest ten thousand is equal to 400,000.

As given in the question,

Given number is equal to :

395,621

Round off the given number 395,621 to nearest ten thousand is given by:

395,621 = 300,000 + 95,621

Ten thousand is represented by 95,621 for the given number

95621 is in between two numbers

90,000< 95,621 < 100,000

95,621 is more closer to 100,000

After rounding it off to the nearest ten thousand

300,000+ 100,000 = 400,000

Therefore, for the given number 395,621 round off it to nearest ten thousand is equal to 400,000.

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Step-by-step explanation:

for both costs to be the same, the sum of the fixed and the variable costs must be the same.

so,

49631 + 10.25x = 12209 + 23.75x

37422 = 13.50x

x = 37422 / 13.5 = 2,772

the costs of both methods will be the same for 2,772 produced books.

Answer:

10

Step-by-step explanation:

Answer:

2. (x+6)+(x+6)+(x+6)

4. 3x+18

Why its (x+6)+(x+6)+(x+6)

Since there's a 3 next to (x+6), you are multiplying 3 and (x+6). That means there are three (x+6) groups. Thus, it's just (x+6)+(x+6)+(x+6).

Why its 3x+18

When you use the distributive property, you multiply 3 and x, and multiply 3 and 6, which gives you 3x and 18, which equals 3x+18.

Answer:

The coordinates for the outlier are (14,13)

I believe it is a positive correlation

13.6 hours of sunshine would be my guess but I'm not 100% sure

I believe the last answer is A.