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4 years ago

7. Find two consecutive even integers such that twice the smaller is

Mathematics

1 answer:

Arturiano [62]4 years ago

7 0

Answer:

Step-by-step explanation:

The difference between two consecutive even integers is 2

and even integer is always twice some integer

So:

2x ← smaller of numbers

2x+2 ← larger of numbers

2×2x ← twice the smaller of numbers

3(2x+2) ← three times the larger

3(2x+2)-26 ← 26 less than 3 times the larger

twice the smaller is 26 less than 3 times the larger:

3(2x+2) - 26 = 2×2x

6x + 6 - 26 = 4x

+20 +20

6x - 4x = 20

2x = 20

2x+2 = 20 + 2 = 22

Check: 2×20=40; 40+26 = 66; 66÷3=22

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The starting line for a race in Cass is 2.4 miles from the finish line. On a map of the course,

DaniilM [7]

Answer:

5 in. = 2 mi.

Step-by-step explanation:

2.4mi = 6in

1 mi = 2.5in

2.5 inches = 1mile

Convert to whole #'s as the question asks

5 in. = 2 mi

-- Gage Millar, Algebra 1/2 Tutor (Pending Pre-Calc Tutor)

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2 years ago

Read 2 more answers

1)The base of a triangular prism is a right triangle with a base of 20 feet and a height of 120 inches. The height of the prism

ivanzaharov [21]

Answer:

(1)750 cubic feet

(2)8 Times

Step-by-step explanation:

Question 1

Dimensions of the Right Triangular Base

Base = 20 feet
Height= 120 inches = 10 feet

Base Area of the Prism

$=\dfrac12 \times 20 \times 10\\=150$ square feet$

Height of the Prism = 5 feet

Volume of the Prism = Base Area X Height

= 150 X 5

=750 cubic feet

Question 2

Jake's Box

Length: 12 inches
Width: 4 inches
Height: 8 inches

Volume = 12 X 4 X 8 =384 cubic inches

Havana's box

Havana has a shipping box similar to Jake's box, but each dimension is half as long.

Therefore:

Length: 12/2=6 inches
Width: 4/2=2 inches
Height: 8/2=4 inches

Volume = 6 X 2 X 4 =48 cubic inches

Now:

384/48=8

Therefore, the volume of Jake's box is 8 times larger than Havana's box.

6 0

4 years ago

X/2+9=4 Please help me!! :(

Lelu [443]

Firstly you have to multiply both sides by 2 to get rid of the fractions. This leaves you with x + 18= 8. If you take away 18 from both sides you can see that x = -10

3 0

3 years ago

What are the coordinates of the point on the directed line segment from (3, -3) to

erastova [34]

Answer:

(5.5, 2)

Step-by-step explanation:

Points given:

(3, -3) and (7,5)

Partition ratio:

5 to 3

Formula for the point:

x = x1 + a/(a+b)×(x2 - x1)
y = y1 + a/(a +b)×(y2 - y1)

So the points are:

x = 3 + 5/(5+3)×(7-3) = 3 + 5/8×4 = 5.5
y = -3 + 5/8×(5 - (-3)) = -3 + 5/8×8= 2

7 0

3 years ago

Read 2 more answers

Help me

tatyana61 [14]

Answer:

I) Yes, the graph represent a proportional relationship

ii) 1200miles/hour

iii) 66,000miles/hour

Question:

The complete question related to this found at brainly (question:14811794) is stated below:

The graph shows the relationship between x, the amount of time in hours and y, the distance traveled in miles, by a probe before it reaches Mars. Does the graph represent a proportional relationship? Justify your answer.

What is the constant of proportionally, k?

Determine the number of miles the probe travels in 5.5 hours.

Step-by-step explanation:

Find attached the graph.

i) We are informed the graph shows the relationship between x.

For the graph to represent a proportional relationship, it must meet the condition y = kx

Where y is the dependent variable

x is the independent variable

k = constant of proportionality

From the graph, y = distance in miles

x= time in hours

y = kx is a linear equation with no intercept

The graph shows a straight line starting from origin. Therefore, the graph represent a proportional relationship.

ii) To determine k, we pick any value of y that corresponds to a value of x on the graph and insert in the equation: y = kx

For coordinates (2, 24000)

When y = 24000miles, x = 2hours

24000 = k × 2

k = 24000/2 = 12000miles/hour

Therefore, the constant of proportionally, k = 12000miles/hour

ii) To determine the number of miles the probe travels in 5.5 hours, we would use the relationship between y and x.

since k = 12000, the relationship:

y = 12000x

When x = 5.5hours, y = ?

y = 12000×5.5

y = 66,000miles/hour

Therefore, the number of miles the probe travels in 5.5 hours = 66,000miles/hour

6 0

3 years ago