Two consecutive integers have a sum of 107. Find the integers.

Answers

Answer 1

Answer: Let
x = first consecutive number
x + 1 = second consecutive number

Based on the problem, we equate
x + (x + 1) = 107
Solving for x,
2x + 1 = 107
2x = 107 - 1
2x = 106
x = 106/2 = 53
and x + 1 = 54

Therefore, the numbers are 53 and 54.

Related Questions

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David wants to hang a mirror in his room. The mirror and frame must have an area of 8 square feet. The mirror is 2 feet wide and 3 feet long. Which quadratic equation can be used to determine the thickness of the frame, x?Square with an inner frame with height of 2ft on the left frame and width of 3ft on the top. Arrow on the bottom frame with an x and an arrow on the right frame with an x. 2x2 + 14x − 2 = 0 3x2 + 10x − 8 = 0 4x2 + 10x − 2 = 0 x2 + 7x − 8 = 0
Which of the following shows the polynomial below written in descending order?4x2 - x + 8x6 + 3 + 2x10 A. 2x10 + 8x6 + 4x2 - x + 3 B. 8x6 + 4x2 + 3 + 2x10 - x C. 3 + 2x10 + 8x6 + 4x2 - x D. 3 - x + 2x10 + 8x6 + 4x2
How do you have factor y=6x²+24x-192 and find the zeros?
A ball, thrown vertically upwards, from the ground, has its height h (in meters) expressed as a function of time t (in seconds), elapsed after the launch, by the law h(t) = 20t - 5t2. According to this information, determine the height at which the ball is 3 seconds after the throw and the maximum height reached by the ball.

Keisha ran to swim practice but needed to stop by her friend Natasha’s house on the way. She stayed at Natasha’s house for 15 minutes, and together they ran the rest of the way to practice, where they stayed for 1 hour.

Which graph best represents the scenario described?

A coordinate plane graph is shown. The axis is labeled time and the y-axis is labeled distance from home in blocks. A line begins at 0 comma 5, decreases to 0.25 comma 2, stays horizontal to 0.6 comma 2, then increases to 0.75 comma 9. The line is horizontal to 1.75 comma 9.

A coordinate plane graph is shown. The axis is labeled time and the y-axis is labeled distance from home in blocks. A line begins at 0 comma 0, increases to 0.3 comma 2, increases to 0.5 comma 5, then increases to 0.75 comma 9. The line decreases to 1.75 comma 0, where it touches the axis.

A coordinate plane graph is shown. The x-axis is labeled time and the y-axis is labeled distance from home in blocks. A line begins at 0 comma 0, increases to 0.25 comma 5, stays horizontal until 0.5 comma 5, then increases to 0.75 comma 9. The line is horizontal until 1.75 comma 9.

A coordinate plane graph is shown. The axis is labeled time and the y-axis is labeled distance from home in blocks. A line begins at 0 comma 5, is horizontal to 0.3 comma 5, increases to 0.5 comma 6, is horizontal to 0.8 comma 6, then increases to 1.75 comma 9

The graph shown represents the funds in Sasha’s checking account over 16 days.

Which description would best explain what was happening to Sasha’s checking account during interval C on the graph?

Sasha deposited her paycheck.

Sasha paid her rent.

Sasha did not withdraw or deposit any money.

Sasha withdrew spending money.

Answers

Part 1: Keisha ran to swim practice but needed to stop by her friend Natasha’s house on the way. She stayed at Natasha’s house for 15 minutes, and together they ran the rest of the way to practice, where they stayed for 1 hour.

If we graph this there will be 3 segments because the slope of each segment is Keisha's speed during that interval:

⇒ The middle segment will have no slope,which makes the slope undefined.

⇒ The 1st and 3rd segments will have positive slopes, If a line has a positive slope, variable y always increases when x increases.

Choice A). A coordinate plane graph is shown. The axis is labeled time and the y-axis is labeled distance from home in blocks. A line begins at 0 comma 5, decreases to 0.25 comma 2, stays horizontal to 0.6 comma 2, then increases to 0.75 comma 9. The line is horizontal to 1.75 comma 9.

The given graph started that the time is 0, when Keisha begins
running. she is already 5 blocks from home. So this data is incorrect. The graph also states that the line decreases,when she runs toward her home.

Terrible choice.

Choice B). A coordinate plane graph is shown. The axis is labeled time and the y-axis is labeled distance from home in blocks. A line begins at 0 comma 0, increases to 0.3 comma 2, increases to 0.5 comma 5, then increases to 0.75 comma 9. The line decreases to 1.75 comma 0, where it touches the axis.

Terrible choice.

Choice C). This is the correct answer. It includes all the information that appears on the given graph, and it matches the given story.

Choice D). A coordinate plane graph is shown. The axis is labeled time and the y-axis is labeled distance from home in blocks. A line begins at 0 comma 5, is horizontal to 0.3 comma 5, increases to 0.5 comma 6, is horizontal to 0.8 comma 6, then increases to 1.75 comma 9

Terrible choice.

Part 2 : Sasha withdrew spending money. Meaning : To remove (money) from an account.

The correct answer is the last one.

Q1:
Answer:
A coordinate plane graph is shown. The x-axis is labeled time and the y-axis is labeled distance from home in blocks. A line begins at 0 comma 0, increases to 0.25 comma 5, stays horizontal until 0.5 comma 5, then increases to 0.75 comma 9. The line is horizontal until 1.75 comma 9.

Explanation:
First segment: distance and time increases (Keisha ran to Natasha's house)
Second segment: time increases, distance is constans (Keisha stayed at Natasha’s house)
Third segment: distance and time increases (Keisha and Natasha ran to swim practice)
Fourth segment: distance is constans, time increases (Keisha and Natasha stayed on practice).

Q2.
Answer:
Sasha did not withdraw or deposit any money. (During 5 days of the account balance has not changed).

Which number line correctly shows 1.5+2.5?

Answers

Answer:

The first one!

Step-by-step explanation:

Answer:

A correctly displays the number.

Step-by-step explanation:

What is the product of 2p + q and –3q – 6p + 1?–12p2 – 6pq – 4p – 3q + 1
–12p2– 12pq + 2p – 3q2 + q
–9p2q2 + 12pq – 2p + q
12p2 + 12pq +2p + 3q2 + q

Answers

The product of the 2p + q and –3q – 6p + 1 is $\rm -12p^2-12pq+2p-3q^2+q$ .

Given

The given terms are;

2p + q and –3q – 6p + 1

How to calculate the product of given terms?

To find a product, you'll need to multiply at least two numbers together following all the steps given below.

The product of the terms is;

$\rm = (2p+q) * (-3q-6p+1)\n\n= 2p* (-3q-6p+1) + q* (-3q-6p+1)\n\n= 2p* (-3q) +2p* (-6p)+2p* (1) + q* (-3q) + q*(-6p) +q* (1)\n\n=-6pq-12p^2+2p-3q^2-6pq+q\n\n= -12p^2-12pq+2p-3q^2+q$

Hence, the product of the 2p + q and –3q – 6p + 1 is $\rm -12p^2-12pq+2p-3q^2+q$ .

To know more about Product click the link given below.

brainly.com/question/4281741

Answer: Second option is correct.

Step-by-step explanation:

Since we have given that

$(2p+q)\ and\ (-3q-6p+1)$

We need to product the two polynomials .

Here it is :

$(2p+q)(-3q-6p+1)\n\n=2p(-3q-6p+1)+q(-3q-6p+1)\n\n=-6pq-12p^2+2p-3q^2-6pq+q\n\n=-12p^2-3q^2+2p+q-12pq$

Hence, Second option is correct.

Is y+6x=-14 quadratic?

Answers

normally it is a function where you have y=output or f(x)

minus 6x
y=-6x-14
f(x)=-6x-14

quadratic functions are second degree, meaning they have x^2 as hiehgest exponnet

the highest is x^1

it is NOT quadratic

no, because it doen't follow the quadratic equation formula.

something x squared plus/minus something x plus/minus something

Modrater give me answer

if 2x- 35273 = 5361925 than find the value of 1x

Answers

Answer:

$2x - 35273 = 5361925 \n 2x = 5361925 + 35273 \n 2x = 5397198 \n x = (5397198)/(2) \n x = 2698599$

$\displaystyle\ 2x-35273=5361925\n\n2x=53\underline{61925}+\underline{35273} \n\n2x=5397198\n\n\nx=(5397198)/(2) =2698599\n\n\underline{x=2698599\qquad }\n\n2\cdot 2698599-35273=5361925\n\n5397198-35273=5361925\n\n5361925=5361925$

When flying from Florida to the Philippines island why does the shortest route pass through Alaska?

Answers

Because the earth is round, the distance seen on a flat map is a lot further than the distance on a globe, because of distortion. So following the circle that goes through these 3 points ( Florida, Alaska and the Philippines) it is a shorter distance to fly over Alaska.

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