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3 years ago

what is the equation to seven less than the product of twice a number is greater than 5 more than the same number

2 answers:

7 0

seven less than (-7) than the product of twice a number (2x) is greater than (>) five more than (+5) the same number (x)

2x-7>x+5
treat the > sign as an equals for now
2x-7=x+5
subtract x from both sides
x-7=5
add 7 to both sides
x=12
put the > sign back in
x>12

amid [387]3 years ago

4 0

Let the number be x.

Seven less than the product of twice a number : 2x - 7.
Greater than >
5 more than the same number : x + 5

The equation is: 2x - 7 > x + 5.

That's the answer. But let us just go ahead and solve it.

2x - 7 > x + 5.
2x - x > 5 + 7
x > 12.

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What must be true to define the measure of a distance of an arc between the points A and B on a circle?

cupoosta [38]

Answer:

The radius of the circle needs to be measured for the whole circle meaning that if you subtract the two points from the circle's area you'd get the distance of the arc

Step-by-step explanation:

3 0

3 years ago

Rectangle HYGT has a perimeter of 170 inches. If the length is 10x - 7

frozen [14]

Answer:

The wide of the rectangle = 42 inches

The length of the rectangle = 43 inches

Step-by-step explanation:

Step(i):-

Given that the length of the rectangle = 10x-7

Given that the width of the rectangle = 6x +12

The perimeter of the rectangle = 2(length + width)

Given that the perimeter of the rectangle = 170

Step(ii):-

2(length + width) = 170

length + width = 85

10x-7 +6x +12 =85

16x +5 = 85

16x = 85-5 = 80

x = $\frac{80}{16}$

x = 5

Final answer:-

The length of the rectangle = 10(5)-7 = 50-7 = 43

The wide of the rectangle = 6x +12 = 6(5) + 12 = 30+12 =42

5 0

2 years ago

Zhang is constructing a loading ramp (BA) that is 4-feet high (AC). The back of the base (BC) must be 12.8 ft. How long must the

inna [77]

The front of the base is 1.25 ft and the total base is 14.05 ft.

<h3>How to find the side of a right triangle?</h3>

A right triangle has one of its angles as 90 degrees. The side of a right angle triangle can be found using trigonometric ratios.

The sides CD and BD can be found using similar triangle principle.

In similar triangles, corresponding sides are always in the same ratio.

Therefore, the following proportion can be established as follows;

$\frac{BC}{AC}=\frac{AC}{CD}$

Hence,

$\frac{12.8}{4}=\frac{4}{CD}$

cross multiply

4 × 4 = 12.8 CD

16 = 12.8CD

divide both sides by 12.8

CD = 16 / 12.8

CD = 1.25 ft

BD = 1.25 + 12.8 = 14.05 ft

Therefore, the front of the base is 1.25 ft and the total base is 14.05 ft.

learn more on right triangle here: brainly.com/question/14324872

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6 0

2 years ago

Parker Middle School's chior needs to raise $480 for an upcoming trip they will take. At their first fundraising project, they r

harkovskaia [24]

The money does the choir still need to raise is $180.

Step-by-step explanation:

The money needed to be raised by the choir for an upcoming trip = $480.

It is given that, the money needed was raised in two fundraising projects.

During the first fundraising project :

The choir raised 25% of the money needed for the trip.

⇒ 25% of 480

⇒ (25/100) × 480

⇒ (1/4) × 480

⇒ 120

Therefore, the first fundraising project raised $120.

During the second fundraising project :

The choir raised 3/8 of the money needed for the trip.

⇒ 3/8 of 480

⇒ (3/8) × 480

⇒ 3 × 60

⇒ 180

Therefore, the second fundraising project raised $180.

To find the money does the choir still need to raise :

You need to find the remaining amount from the 480 after raising money from the two fund raising projects.

For that, find out how much you raised from those fund raising projects and subtract it from the 480.

Money needed = Total money required for the trip - Raised money

⇒ 480 - (120+180)

⇒ 480 - 300

⇒ 180 dollars.

The money does the choir still need to raise is $180.

6 0

3 years ago

"The product of four and a number is more than ten." ( write as an inequality thx)

lubasha [3.4K]

Answer:

4x > 10

Step-by-step explanation:

4x > 10

6 0

2 years ago