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2 years ago

The product of seven and the difference between a number and ten

Mathematics

2 answers:

Rina8888 [55]2 years ago

6 0

Answer:

7(x-10)

Step-by-step explanation:

7×(x-10)

you ×7by whatever x-10 is

olasank [31]2 years ago

6 0

Answer:

7(n-10)

Step-by-step explanation:

product = times

difference = subtraction

number = n

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The sales tax rate for the state of Washington was 6.9%. What is the state sales tax on a $2,600 car in Washington?

pshichka [43]

Answer:

The answer would be $179.40

Step-by-step explanation:

all you have to do is take the price of the car and multiply it by .069 (6.9% in decimal form)

8 0

2 years ago

If the sum of $1! + 2! + 3! + \cdots + 49! + 50!$ is divided by $15$, what is the remainder?

kompoz [17]

Answer:

Step-by-step explanation:

All factorials 5 and above are evenly divisible by 15, so have no remainder. Thus, you are interested in ...

mod(1! +2! +3! +4!, 15) = mod(1 +2 +6 +24, 15)

= mod(33, 15) = 3

The remainder is 3.

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2 years ago

A rectangle has an area of 4 square centimeters. A second rectangle is 3 times as long and 3 times as wide as the first rectangl

vekshin1

Answer:

The area of the second rectangle will be 36 square centimetres

Step-by-step explanation:

Given:

Area of the first rectangle = 4 square centimetres

A second rectangle is 3 times as long and 3 times as wide as the first rectangle

To Find:

Area of the second rectangle = ?

Solution:

We know that area of the rectangle is Length X breadth

Length X width = 4

In this case the are 2 possibilities

Case 1:

Length = 2 cm

Width = 2 cm

2 X 2 = 4

Now According to the question

Length is 3 times = 2 X 3 = 6cm

width is also 3 times = 2 X 3 = 6 cm

Now the area of the second rectangle will be

6 X 6 = 36 square centimetres

Case 2:

Length = 4 cm

Width = 1 cm

4 X 1 = 4

Now According to the question

Length is 3 times = 4 X 3 = 12 cm

width is also 3 times = 1 X 3 =3 cm

Now the area of the second rectangle will be

12 X 3 = 36 square centimetres

5 0

2 years ago

Write the ratio 1 1/7:1/9 in simplest form

Elden [556K]

[tex]<span>1\dfrac{1}{7}=\dfrac{1\cdot7+1}{7}=\dfrac{8}{7}\\\\1\dfrac{1}{7}:\dfrac{1}{9}=\dfrac{8}{7}:\dfrac{1}{9}=\dfrac{8}{7}\cdot\dfrac{9}{1}=\dfrac{72}{7}[tex]

Answer: 1 1/7 : 1/9 = 72 : 7
</span>

8 0

2 years ago

Write the equation of a line that is perpendicular to y=-2x/7+9 and that passes through the point (4,−6)

Shtirlitz [24]

Answer:

y = (7/2)x -20

Step-by-step explanation:

The given line is in slope-intercept form, so you can read its slope from the equation.

y = mx + b . . . . . m is the slope; b is the y-intercept

y = -(2/7)x + 9 . . . . . . has slope -2/7

The perpendicular line will have a slope that is the negative reciprocal of this, so will be ...

m = -1/(-2/7) = 7/2

We can use this and the given point to write the equation in point-slope form.

y = m(x -h) +k . . . . . . line with slope m through point (h, k)

We have m = 7/2, (h, k) = (4, -6) so the equation is ...

y = (7/2)(x -4) -6

y = (7/2)x -20

4 0

3 years ago