The lesser of two consecutive even integers is 10 more than one-half the greater. Find the integers.

Answers

Answer 1

Answer: Hello,

Here's my solution:

Let n = the lesser of the two consecutive even integers; so what will be a good way to represent the greater of the two consecutive even integers? I say n + 2.

Let's write the equation:
n = ((n+2)/2) + 10

I'll multiply both sides of the equation by 2 to eliminate the denominator, getting:
2n = 2[((n+2)/2) + 10]

This reduces to:
2n = n+2 + 20

Which can be further simplified to:
2n = n+22

Subtracting n from both sides we get:
n = 22

So n, the lesser consecutive even integer is 22. The greater consecutive even integer is 24.

Let's check this solution by substituting n = 22 into our original equation:

n = ((n+2)/2) + 10

22 = ((22+2)/2) + 10
22 = ((24)/2) + 10
22 = (12) + 10
22 = 22 - it checks!

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Is the gcf of any two even numbers is always even?

Answers

Yes because only odd numbers go into the whole number

The area is 30 square centimeters and a height with 10 centimeters. What is the length of the base?

Answers

So,

The formula for the area of a rectangle is:
A = l * w

We will consider l to be the height.

Substitute the given values.
30 = 10 * w or 10w

Divide both sides by 10.
3 = w

The length (I would call it the width, since it is shorter) of the rectangle is 3 centimeters.

30/10=3 3 cm is the length.

Tomas correctly spelled 18 out of20 words on his last spelling quiz. What
decimal represents the portion of the
words that Tomas spelled correctly?
A. 0.18
B. 0.36
C. 0.8
D. 0.9

Answers

Answer:

0.9

Step-by-step explanation:

C. 0.8
This is because Tomas got 2 words wrong and in the grade book -2 is 80 percent also known as 0.8

A yearbook printer charges based on the number of pages printed. Here is a table that shows the cost of some recent yearbooks.Number of pages 50 100 150 200
Cost 1.55 2.25 2.95 3.65

Which equation gives the cost, y, in terms of the number of pages, x?

A.

y = 0.014x + 49.15

B.

y = 0.014x + 1.55

C.

y = 0.014x + 0.85

D.

y = 58.8x + 0.85

Answers

so y=mx+b

cost=m(number of pages)+b

cost=y
# of pages=x

so points are
(x,y)
(50,1.55)
(100,2.25)
(150,2.95)
(20,3.65)

so solve for slope/m you do (y₁-y₂)/(x₁-x₂) so
just use any for example
(1.55-2.25)/(50-100)=-0.70/-50=1 times 0.7/50=7/500= (to convet to decimal form) 14/1000=1.4/100=0.14/10=0.014/1=0.014

slpoe is 0.014

y=0.014x+b

input one of the points exg 50 for x and 1.55 for y and solve for b
1.55=0.014(50)+b
1.55=.7+b
subtract .7 from both sides
0.85=b

so the equation is
y=0.014x+0.85

which is C

Use the figure to identify the correct rule for the translation.(x, y) Right-arrow (x – 3, y + 4)

(x, y) Right-arrow (x + 3, y – 4)

(x, y) Right-arrow (x – 4, y + 3)

(x, y) Right-arrow (x + 4, y – 3)
https://gyazo.com/7f600cf22684259e421627eca2c910d4

Answers

According to translation rule When the coordinates are added to or subtracted from, the values of x and y change.

What are coordinates?

A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.

Given four transformations of coordinates (x, y)

If the transformation occurs in the x-axis, then the coordinators move left or right.

If transformation occurs in the y-axis, then the coordinators move upwards or downwards

thus for (x, y ) => (x - 3), (y + 4)

From the given rule:

x is decreased by 3 and y is increased by 4 or in other words, we can say the graph moves downward by 3 units and to the right by 4 unit

for (x, y ) => (x + 3), (y - 4)

From the given rule:

x is increased by 3 and y is decreased by 4 or in other words, we can say the graph moves upward by 3 units and to the left by 4 units.

for (x, y ) => (x + 4), (y - 3)

From the given rule:

x is increased by 4 and y is decreased by 3 or in other words, we can say the graph moves upward by 4 units and to the left by 3 units.

Hence, using the rule of the translation The value of x and y will increase or decrease by adding or subtracting from the coordinates.

Learn more about coordinates here:

brainly.com/question/20282507

#SPJ3

Answer:

Step-by-step explanation:

(x, y) Right-arrow (x – 3, y + 4)

second one

after one

before 3

dos

Point D is on segment SF. If SF is 72 cm and DF is 62, what is the measurement of segment SD ?

Answers

SD=SF-DF
SD=72-62=10cm

If D is on segment SF then |SD| + |DF| = |SF|.

We have:

|SF| = 72 cm
|DF| = 62 cm

substitute:

|SD| + 62 cm = 72 cm |-62 cm

|SD| = 10 cm

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