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2 years ago

What would the world problem " the quotient of a number decreased by 7 and negative 2 is negative 10 " be as an equation?

Mathematics

1 answer:

Rom4ik [11]2 years ago

6 0

Answer:

$\frac{x-7}{-2}=-10$

Explanation:

A quotient of two numbers is a fraction with the first number being in the numerator (top) and the other number in the denominator (bottom). The statement calls for a "number" decreased by 7. That number is unknown but we have to give it a name, so, for example, "x." Therefore (x-7) is in the numerator. Negative 2, or -2 is "the other number" of the quotient and so it is in the denominator. Finally, the quotient is supposed to equal negative 10, or "=-10" which is the right-hand side, completing the equation.

For your interest, if you solve the equation, you will get x = 27, and you can check that the equation holds. "27 decreased by 7, divided by -2 equals -10."

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Here are several recipes for sparkling lemonade for each recipe describe how many tablespoons for lemonade mix it takes per cup

Alexeev081 [22]

Answer:

Step-by-step explanation:

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3 years ago

Find the coordinates of the points of intersection of the graphs with coordinate axes: y=− 1/4 x+2

bearhunter [10]

Answer:

Step-by-step explanation:

Here, you can use a simple formula.

To find the point of intersection you just put x=0 or y=0.

Because, if a graph intersects x-axis, then at this point y=0

Similarly, if a graph intersects y-axis, then at this point x=0

So, for our given line.

y=-1/4 x +2

when , x=0 , y=-1/4 (0)+2=2

So, the graph intersects y-axis at y=2

when , y=0 ,

then 0=-1/4 x+2

or, 1/4 x=2

or, x=8 [multiplying by 4]

So, the graph intersects x-axis at x=8

3 0

3 years ago

Nine times the difference of a number and one is equal to seven less than two times the number

Oksana_A [137]

9*(x-1)=2x-7
First get rid of your parenthesis by distributing.
9x-9=2x-7
Then all you have to do is isolate the variable
9x=2x+2
7x=2
so x= 2/7

8 0

2 years ago

Which will help you when you file a claim for home insurance?

tester [92]

Answer:

C. Home inventory

Step-by-step explanation:

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2 years ago

While training for a marathon, Jeff wants to increase the number of miles he runs each day. On the first day of training, Jeff r

user100 [1]

Answer:

The series is 5 , 6 , 7 , 8 , 9 , 10 , 11

Step-by-step explanation:

* Lets revise the arithmetic series

- In the arithmetic series there is a constant difference between

each two consecutive numbers

- Ex:

# 2 , 5 , 8 , 11 , ………………………. (constant difference is 3)

# 5 , 10 , 15 , 20 , ………………………… (constant difference is 5)

# 12 , 10 , 8 , 6 , …………………………… (constant difference is -2)

* General term (nth term) of an Arithmetic series:

- If the first term is a and the common diffidence is d, then

U1 = a , U2 = a + d , U3 = a + 2d , U4 = a + 3d , U5 = a + 4d

- So the nth term is Un = a + (n – 1)d, where n is the position of the

number in the series

* Lets solve the problem

- Jeff wants to increase the number of miles he runs each day

∴ He will add the initial value by constant number each day

- He plans on increasing the number of miles he runs a day by 1

∴ The constant value is 1 mile

- On the first day of training, Jeff runs 5 miles

∴ The first value is 5 miles

∴ The series is arithmetic

∵ a = 5 , d = 1

- He do that for the remainder of the week

∵ The week has 7 days

∴ The series has 7 terms

∵ The rule of the series is Un = a + (n - 1)d

∵ a = 5 and d = 1

∴ Un = 5 + (n - 1)(1)

∴ Un = 5 + n - 1

∴ Un = 4 + n ⇒ n is the position of the number

- Substitute n from 1 to 7 to find the series

∴ The series is 5 , 6 , 7 , 8 , 9 , 10 , 11

6 0

3 years ago