Mathematics High School

The sum of four consecutive integers is 298. What is the largest integer?

Answers

Answer 1

Answer:

largest number =76

Step-by-step explanation:

let the consecutive integers be x,x+1,x+2,x+3

x+x+1+x+2+x+3=298

4x+6=298

4x=298-6

4x=292

x=292/4=73

numbers are 73,74,75,76

Related Questions

6. Jase is cutting a board into 6 pieces. If each piece is
12 inches long, write and solve an equation to find
the length of the entire board.
I

Please help me will mark brainliest and 15 points

Answers

Answer:

6x12=72 The whole board was 72 inches long.

Step-by-step explanation:

If each piece were 12 inches and there were 6 pieces that is 6 multiplied by 12 which equals 72 inches.

If cheese costs $5.65 per pound, what will be the total cost of 2.2 pounds of cheese? plz help meee

Answers

The answer is $12.43

Multiply the two numbers.

suppose you are organizing a party and have a budget of b dollars for the appetizers. You plan to order v vegetarian spring rolls at $0.75 each and s shrimp rolls at $0.95 each.

The equation 0.75v+0.95s=b represents this constraint.

Solve 0.75v+0.95s=b for v

When would it be most helpful to use this equation?

Answers

Answer:

v = b/0.75 - 0.95s/0.75

v = (b - 0.95s) / 0.75

Step-by-step explanation:

Solve 0.75v + 0.95s = b for v

This means making v the subject of the formula

0.75v + 0.95s = b

Subtract 0.95s from both sides

0.75v + 0.95s - 0.95s = b - 0.95s

0.75v = b - 0.95s

Divide both sides by 0.75

v = (b - 0.95s) / 0.75

v = b/0.75 - 0.95s/0.75

The equation will be useful in determining the number of vegetarian

ALDS championship hats are sold in boxes of 18. If the Tampa Bay Rays need 168 hats for team members and staff, how many boxes of hats would they need to order? Explain your
reasoning

Answers

Answer: 3024

Step-by-step explanation:

mutiply 18x 168

If W = 7 units, X = 5 units, Y = 13 units, and Z = 11 units, then what is the approximate perimeter of the object?

Answers

Answer:

to find the perimeter, you would need to add, so I the answers would be 36 units.

Step-by-step explanation:

The perimeter of a square is 36cm
What is the area?

Answers

Answer:

81cm²

Step-by-step explanation:

36/4=9

9×9=81

NEED HELP! A line has a slope of 9/7 and a y-intercept of 1/3. Which of the following is an equation of the line?

A 27x - 21y = -7

B 27x + 21y = 1

C 9x + 7y = 3

D 7x - 9y = -3

Please show work so I could understand this!

Answers

Answer:

Step-by-step explanation:

Take a look at the slope-intercept form of the equation .

[tex]y=mx+c[/tex]

Slope of 9/7 and y-intercept of 1/3 means replace m which is slope and c is the y-intercept which becomes

[tex]y=\frac{9}{7}x+\frac{1}{3}[/tex]

now we take LCM of 7 and 3 which becomes

[tex]y=\frac{27x+7}{21}[/tex]

and then,

[tex]21y=27x+7[/tex]

so A is our Answer

if arrange the equation accordingly

[tex]27x-21y=-7[/tex]

For the equation 4(2x-3)-(mx+5)=5x+b to be an identity, which of the following must be true about the constants m and b? Show your work

(1) m = 3 and b = -7
(2) m = 8 and b = 17
(3) m = -3 and b = -15
(4) m = 3 and b = 17

Answers

Given:

The equation is

[tex]4(2x-3)-(mx+5)=5x+b[/tex]

To find:

The values of m and b.

Solution:

We have,

[tex]4(2x-3)-(mx+5)=5x+b[/tex]

Using distributive property, we get

[tex]8x-12-mx-5=5x+b[/tex]

On combining like terms, we get

[tex](8-m)x+(-12-5)=5x+b[/tex]

[tex](8-m)x-17=5x+b[/tex]

On comparing both sides, we get

[tex](8-m)=5[/tex]

[tex]-m=5-8[/tex]

[tex]-m=-3[/tex]

[tex]m=3[/tex]

And,

[tex]b=-17[/tex]

Therefore, m = 3 and b = 17.

Note: All options are incorrect.

Add or subtract rational numbers! - 12 + 6

0.42=0.42

50% = 0.5

Answer:

Step-by-step explanation:

just switch the 50% and ,42

2/5,,42,50% hope this helps

set a= {7,4, x, 8, 10, 5, 2}
if the median of set A is also its average, then what is one possible value of x?
a. 4
b. 6
c. 10
d. 16

Answers

A im definitely accurate and gl

brainliest!!!!!!!!!!!!!!!!!!!!!!!!!!!
Imagine that 12 goats got into a dumpster behind a pizza parlor and ate 3 pizzas. How many goats per pizza would that be?

Answers

Answer:

Step-by-step explanation:

Find the product of -2*(-4)*9. Describe how you use the properties of
multiplication to find the product. Is the product positive or negative?

Answers

Answer:

Step-by-step explanation:

-2 x -4 = 8

8 x 9 = 72

Hope this helps! Please mark Brainliest!

Answer:

72 = Positive

Step-by-step explanation:

The property we use,

→ Associative property

Now the product will be,

→ (-2 × -4) × 9

→ 8 × 9 = 72

→ -2 × (-4 × 9)

→ -2 × (-36) = 72

Then the required sign is,

→ Positive (+ve)

Hence, the product is 72.

if length of the square is 7-x and width is 19-3x then what is the value of x

Answers

7-x=19-3x
7-x-19=-3x
-x-12=-3x
-12+x=-3x+x
-12=-2x
6=x

a rectangle with vertices located at (-3, -4), (-3, 7), (12, -4), and (12, 7). What is the length of each of the longer sides of the rectangle?

Answers

rectangle area: length x width

multiply each x-axis with the y-axies then find the mean average

Answer:

length: 15 units

Step-by-step explanation:

Line ST and point V are shown on the graph. Line WW is to be drawn on the graph such that it is perpendicular to line ST. If the coordinates of point Ware (-1, y), what is the value of y?
-5
2
3
-7

Answers

Answer:

Step-by-step explanation:

We can use the formula of slope to find this answer.

The formula to find the slope is y2-y1/x2-x1.

The slope of line ST is 1/5: 2-0/5-(-5); 2/10=1/5

We know that for two lines to be perpendicular, they have to have reciprocal opposite slopes. For example, if the slope of a line is 2/1 then the slope of a line perpendicular is -1/2.

Therefore, the perpendicular line should have a slope of: 1/5------>-5

To find which answer it is, follow the steps below:

y2-y1/x2-x1

plugin known values

-2-y1/0-(-1)

-2-y1/1

In order to make this -5, y1 needs to be 3

-2-3/1=-5

3 is the correct value

The value of y is 3.

What is slope?

The slope of a line is a measure of its steepness.

Given:

Ware( -1, y)

Now,

slope of line ST =2-0/5-(-5)

slope=1/5

As two lines to be perpendicular, they have to have reciprocal opposite slopes.

Thus, the perpendicular line slope =-5

Now, y2-y1/x2-x1

= -2-y1/0-(-1)

= -2-y1/1

= -2-3/1

=-5

hence, the value of y is 3.

Learn more about slope here:

https://brainly.com/question/3605446

#SPJ5

Given h(x)= x^2-4 what is h(6)?
A.32
B.-4
C.0
D.77

Answers

The answer to it is a) 32

Answer:

A.32

Step-by-step explanation:

h(x)=x^2-4

h(6)=6^2-4

h(6)=36-4

h(6)=32

Just solve for 50 points and brainliest!

10-5=

6-4=

Answers

Answer:

10-5= 5

6-4=2

Step-by-step explanation:

subtracting

Answer:

10-5=5

6-4=2

Subtract 5 from the 10, which gets you 5.

21/500

Step-by-step explanation:

0.0042 = 42/1000, (There is 4 digits to the right of the decimal point)

42 is an even number so, divide by 2 to simplify.

42/2 = 21 and 1000/2 = 500

21/500 is your final answer because 21 is divisible by 7 and 3 but 500 cannot be divided by either of those to get a whole number.

Hope this helps! :)

(Brainlyest would be appreciated ;)

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