Find four consecutive integers whose sum is 106

Answers

Answer 1
the sum of 106 is 100 and 10


Related Questions

235+374= use rounding or compatible numbers to estimate the sum

Answers

round to tens: 240 + 370 = 610
round to hundreds: 200 + 400 = 600

hope this helps

How to solve 3d+8=2d-17

Answers

3d + 8 = 2d - 17
d + 8 = - 17
d = - 25

The value of d for the expression 3d + 8 = 2d - 17 is -25.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 8 is an equation.

3x = 4 is an equation.

2x = 4 is an equation.

We have,

3d + 8 = 2d - 17

3d and 2d are like terms.

So,

keep like terms on one side.

3 - 2d = -17 - 8

d = -25

Thus,

The value of d is -25.

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Write the equation of the line in standard form when the slope is -7 and the line goes through

(-2, 5). Graph the line.

Answers

The best fit for this equation would be a point slope form, which is (y-y)=m(x-x), where m is the slope and the second y and x variables are a point. 
So all we need to do is input them in!
(y-5)=-7(x+2)
Some explanations here:
Why is the 5 and 2 in those places? Why aren't they backwards? 
That is because the x number should always go with the x variable and the same with y. 
Why is 2 positive?
It is very hard to explain, but the number becomes a positive when the number is negative. It's just how it works. Ask Einstein.

whats the simple answer and way to solve -46+ x=25

Answers

x=71

-46+x=25
add 46 to both sides (you do the inverse!)
x=71
Add -46 to 25. Which would be 71. So x=71

Simplify 81.56 + n - 2.55.
A)79.10 - n
B)79.01 + n
C)81.56 - 2.55n

Answers

The answer is B)79.01 + n

The correct answer would be 
B) 79.01 + n
I hope this helps! :)

find the perimeter of the triangle

Answers

We can find the area of the big triangle, and subtract it from the small 4 x 2 triangle.

bh/2
3*8/2
12

bh/2 
2*4/4
4

12 - 8
4 unit²

To find the perimeter:
a² + b² = c²
9 + 64 = c²
73 = c²
√73 = c

√73 + 3 + 8 + 2  + 4
√73 + 17


Hope this helps!
I think the answer is 29. 
Good luck in your math homework:)



Explain how the energy of a toy car is transformed as it slides down a ramp. Give evidence that the energy of the car remains the same at all points on the ramp.

Answers

At the top of a ramp, all of the energy of the car is potential: that is, it has yet to be moved but has the ability to move. As the car is sliding down the ramp, the potential energy is being transformed into kinetic energy, which reaches a maximum at halfway down the ramp. After this point, the kinetic energy begins to lessen and the potential energy begins to increase, until the car comes to a full stop, at which point kinetic energy is at zero and the potential energy is again at a maximum.

Answer:

as the car slides down the ramp it is in kinetic energy and when it is on the top of the ramp it is on potential energy we see that the energy is being transferred

The formula for the perimeter of a square is p = 4s, where s is the length of a side. find the perimeter of each square.

Answers

Which square do you mean. We dont see any squares

You are going running. For every mile you run, you burn 100 calories. In the equation below, m represents the number of miles you run, and c represents the number of calories you burn. The relationship between these two variables can be expressed by the following equation: c=100m, equals, 100, m Identify the dependent and independent variables.

Answers

The number of miles you run is Independent and the calories you burn is Dependent

Answer:

C is the dependent variable  

m is the independent variable

Step-by-step explanation:

 For every mile you run, you burn 100 calories. In the equation below, m represents the number of miles you run, and c represents the number of calories you burn

C= 100m

Number of calories burn depends on the number of miles you run

So calories C depends on the miles 'm'

C is the dependent variable because it depends on the value of 'm'

m is the independent variable

A painter charges an initial fee of $50 and $30 for each hour of labor. Write a linear function to determine the total cost. How much will it cost if the painter takes 4.5 hours to paint?

Answers

The initial fee of $50 is essentially the y intercept because this is the value when x = 0 (x is the number of labor-hours). So b = 50.

The slope is m = 30 because each increase of 1 hour leads to the cost bumping up by 30 dollars. In other words, slope = rise/run = (change in cost)/(change in hours) = 30/1

So we plug m = 30 and b = 50 into the y = mx+b formula to get y = 30x+50

Replace y with f(x) to get f(x) = 30x+50

The linear function for the cost is f(x) = 30x+50

Note: Some books may use other letters (instead of x and f(x)), but the idea is still the same

Once you know the cost function, you replace x with 4.5 to find the amount it will cost to have a painter work for 4.5 hours.

f(x) = 30x+50
f(4.5) = 30*4.5+50
f(4.5) = 135+50
f(4.5) = 185

It will cost 185 dollars to have the painter work for 4.5 hours

There were 5 people who bought tickets to a football game. They bought 3 tickets each. How many tickets were bought in all?

Answers

5 people times 3 tickets each
5 times 3 = 15

15 tickets in all
So basically you want to say,

five people who each bought 3 tickets

Or, 

five groups of 3 tickets.

So five groups of 3 tickets would be,

3 + 3 + 3 + 3 + 3,

or 3 * 5.

3 * 5 = 15.

The second side of a triangular deck is 3 feet longer than the shortest side and a third side that is 3 feet shorter than twice the length of the shortest side. if the perimeter of the deck is 68 feet, what are the lengths of the three sides?

Answers

The perimeter of a triangle is:

P = a + b + c

 

We are given that:

b = a + 3

c = 2 a – 3

 

Therefore:

68 = a + a + 3 + 2 a – 3

68 = 4 a

a = 17

 

and,

b = a + 3 = 20

c = 2a – 3 = 31

The shortest side of the triangle measures 17 feet.

The second side of the triangle measures 20 feet.

The third side of the triangle measures 31 feet.

What is the length of the three sides?

The perimeter of a triangle is the sum of the length of the three sides of the triangle.

Let the shortest side be represented with s.

The second side = 3 + s

The third side = 2s - 3

2s - 3 + 3 + s + s = 68

4s = 68

s = 17

The second side = 17 + 3 = 20

The third side = = (2 x 17) - 3 = 31

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Determine if f is a linear or nonlinear function and if f is a constant function.

Answers

hello : 
function is linear when are the form : y = ax +b 
function is linear constant are the form : y = b

In an orchard, for every 5 green apples there are 2 red apples. What is the ratio of green apples to red apples?

Answers

The ratio would be 5:2

branliest offered 10 points for each question

least to greatest
square root of 8, -2/5, -1, 0.6, square root of 6


-8,3, negative square root of 5, 2.6, -1.5, square root of 5

-8.3,negagitive square root of 80, -17/2, -8.25, negative square root of 100

Answers

1. -2/5, 0.6, squ rt of 6, squ rt of 8
2. -8.3, negative squ rt of 5, -1.5, squ rt of 5, 2.6
3. neg. squ rt of 100, -17/2, neg. squ rt of 80, -8.3, -8.25

HOPE IT HELPED 

(8 - 4)x + 6 which property is being used?

Answers

Distributive property is being used to get 8x-4x+6.

    Math Natalia Gonzalez You already owed your friend $6. This morning you borrowed $4 more and this afternoon you paid back $8. How much money do you owe your friend?

Answers

You owe your friend 2 dollars

Hi!!

The answer is 2!

Fun fact,my name is Natalia Gonzalez too!!

But

6+4=10

10-8= 2

Hope this helps ya

Given f(x) = x − 7 and g(x) = x2 . Find g(f(4)). g(f(4)) =

Answers

Hey!

Hope this helps...

~~~~~~~~~~~~~~~~~~~~~~

To solve this we will first find out what f(x) equals at the given point of 4, and than substitute that answer it for g(f(4))...

f(x) = x - 7

f(4) = 4 - 7 = -3

g(f(4)) = (x - 7)^2  >  -3^2 = 9

So...

The answer is: g(f(4)) = 9

Answer:  9

Step-by-step explanation:

Patty is, right now, 3 times as her brother Terry. in 10 years, the sum of their age will be 36. how old are they right now? show your work.

Answers

Patty at year x will be 3 times the age of his brother


In 10 years (year z) the sum of their age will be 36

36-20=16
(Twenty being ten years gained for each of them)

16 is now the sum of their age in year x

The following are options for the ages they could possibly be
1-15 (1*3 does not equal 15)
2-14(2*3 does not equal 14)
3-13(3*3 does not equal 13)
4-12(4*3 equals 12)!!!!
5-11(5*3 does not equal 11)
6-10(6*3 does not equal 10)
7-9 (7*3 does not equal 9)
8-8(8*3 does not equal 8)


Therefore the answer would be:
Patty is 22 and his brother is 14

Patty is 12 years old, and Terry is 4 years old. After setting up an equation based on their ages now and in 10 years, we determine that Terry is 4, and since Patty is three times as old, she is 12.

The problem presented is a typical age-related algebraic question. To solve it, we can set up equations based on the information given. Let's define Patty's current age as 3T, where T represents Terry's current age. In 10 years, Patty will be 3T + 10 and Terry will be T + 10. According to the problem, the sum of their ages in 10 years will be 36. So, we can write the following equation:

3T + 10 + T + 10 = 36

Solving this equation:

Combine like terms: 4T + 20 = 36Subtract 20 from both sides of the equation: 4T = 16Divide both sides by 4 to find Terry's age: T = 4

With Terry's age being 4, Patty's current age is 3 times Terry's age, which means Patty is 3 × 4 = 12 years old. So, Patty is 12 and Terry is 4 years old right now.

The quotient of a number and five increased by four is sixteen answer

Answers

The problem would be written out like this: n/5 + 4 = 16. We would have to subtract 4 from both sides to get n/5 = 12. Then, we multiply both sides by 5 and after that step, you get 60. n = 60.

Answer: [tex]\dfrac{x}{5}+4=16\\\\and\\\\x=60[/tex]

Step-by-step explanation:

Since we have given that

The quotient of a number and five increased by four is sixteen a

Let the number be 'x'.

The quotient of a number and five is written as

[tex]\dfrac{x}{5}[/tex]

And it is increased by 4 is written as

[tex]\dfrac{x}{5}+4[/tex]

And the equation is equal to 16.

[tex]\dfrac{x}{5}+4=16[/tex]

And the solution would be

[tex]\dfrac{x}{5}+4=16\\\\\dfrac{x}{5}=16-4=12\\\\x=12\times 5\\\\x=60[/tex]

Hence, [tex]\dfrac{x}{5}+4=16\\\\and\\\\x=60[/tex]

A gardener buys a plant that is 12cm in height. Each week after that the plant grows 10cm. Note: The plant is 12cm high at the beginning of the week.

what is the formula and value for t10 and t12 in an arithmetic sequence????

Answers

formula = height = 12+10t

where t = number of weeks

so for t10

 height = 12+10(10) = 12+100 = 112 cm

for t12

height = 12+10(12) = 12 +120 = 132 cm

Which expression is equivalent to −1.3+(−4.9)+(−2.6) ?

a −(1.3−4.9)+(−2.6)
b −1.3+(4.9+2.6)
c (1.3+4.9+2.6)
d −1.3−(4.9+2.6)

Answers

The answer for this question would be D) -1.3 - (4.9 + 2.6) or the fourth option because the solution for this equation is the same as -1.3 + (-4.9) + (-2.6) which both = -8.8. So since they both have the same result, both expressions are equivalent.
Final answer:

The equivalent expression to -1.3+(-4.9)+(-2.6) is -1.3 - 4.9 - 2.6, which is represented by option d, -1.3 - (4.9 + 2.6).

Explanation:

The subject of this question is a mathematical calculation, more specifically adding negative numbers.

To answer the student's question about which expression is equivalent to -1.3+(-4.9)+(-2.6), we first need to understand that adding a negative number is the same as subtraction. Therefore, the expression can be written as -1.3 - 4.9 - 2.6.

If we look at the options:

Option a, −(1.3−4.9)+(−2.6) is not correct because subtracting a negative number should be the same as adding; Option b, −1.3+(4.9+2.6) is incorrect as well; Option c, (1.3+4.9+2.6) is not equivalent because the signs of all numbers are positive; Option d, −1.3−(4.9+2.6) is indeed the correct option, because it represents the operation of subtraction as originally described.

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Which expression can be used to find the slope of a line containing points (-3,2) and ( 7,-1)

Answers

-1-2=-3
7+3=10

slope is -3/10

y-2= -3/10(x+3)

y-2=(-3/10)x-9/10

y-2=(-3/10)x - 9/10

y=(-3/10)x+ 11/10

one dozen eggs cost 1.98$. How much does 1 egg cost? ( round to the nearest cent )

Answers

If 1 dozen eggs (12 eggs) cost $1.98, then you need to divide $1.98 by 12 to find how much 1 egg costs. 
So, $1.98 divided by 12 = .165  There is a 5 so you would round it up to 17 cents. 

The cost of one egg is $0.165.

Given that, one dozen eggs cost 1.98$.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Now, cost of 1 egg = Cost of one dozen eggs ÷ 12

= 1.98/12

=0.165

Therefore, the cost of one egg is $0.165.

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If the value of x decreases by 6, how does the value of m(x + 9) change?

Answers

Since the value of x changes, it changes the answer to the equation.
Your answer is:
decreases by 6cm

Noel Devine bought a new dishwasher for $320. He paid $20 down and made 10 monthly payments of $34. What actual yearly interest rate did Noel pay?
    
  A. 14.55%
  B. 29.09%
  C. 34.38%
  D. 68.75%

Answers

The yearly interest rate that Noel payed is 29.09%

Solution:

Cost price of Dishwasher bought by Noel Divine = $ 320

Down payment = $ 20

Amount given in one installment= $ 34

Total Amount paid in 10 Installment = $34 ×10=$ 340

Total amount paid for Dishwasher by Noel Divine = $340 + $ 20 = $ 360

Interest paid by noel = $ 360 - $ 320= $ 40

As the interest will be simple interest

Simple interest =[tex]\frac{Principal \times \text{time} \ \text{rate}}{100}[/tex]

40=[tex]\frac{320 \times R \times \frac{10}{12}}{100}[/tex]

R= [tex]\frac{48000}{3200}[/tex]=15% →→Option A



15 pts!! Find an equation of the line that satisfies the given conditions: through (2,4) & parallel to the x axis.

Answers

If the c axus is 2 then you go right by two (simple) then with your y axus you go up four (simple) thrn you subtract backwards until your dots are lined up
If it is parallel, It has no slope. So:

y = mx + b
y = 0x + b

Now lets plug in our point:

y = 0x + b
4 = 0(2) + b
4 = b

So;

y = 0x + 4
y = 4

Hope this helps!

0.008 is 1 tenth of what decimal

Answers

0.08, Hope it helped

what is the value of the expression? (11 - 4) * (6 + 5) A.18 B.47 C.77 D.117

Answers

According to the order of operations, evaluate operations within parentheses first.
11-4=7
6+5=11

Rewrite the expression
7*11

Evaluate
77

Final answer: C

what is -1/3+5(negative one over three plus 5) please help me im confused

Answers

I believe the correct answer to that would be 4 2/3
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