This is super important for my grade guys can you please let me know the answer

Solve the equation: 5x + 45 = 35 What is the value of x?

hoa [83]

Answer:

5x+45=35

5x=35-45

5x=-10

x=-10/5

x=-2

8 0

2 years ago

A hook in an office storage closet can hold no more than 6 pounds. An order of jumbo paperclips weighs 2 pounds and an order of

Kruka [31]

Answer:

It would be A, or the first graph

Step-by-step explanation:

So we’ve now created an equation

2x + 3y ≤ 6

From here, we can convert this into something easier to read

y ≤ -2/3x + 2

Now, we know that the y-intercept is 2 so either A or B

We also know the shaded area should be below the line (because the smallest part of the “≤” is facing the y).

Therefore, the answer is A

5 0

2 years ago

Read 2 more answers

Part B

Troyanec [42]

Answer:

Part A) The length of a straight line between the school and the Fire Station is $4.6\ miles$

Part B) The length of a straight line between the school and the hospital is $2.1\ miles$

Step-by-step explanation:

<u><em>The complete question in the attached figure</em></u>

Let

The positive x-coordinates ----> East

The positive y-coordinates ----> North

The negative x-coordinates ----> West

The negative y-coordinates ----> South

take the point A (0,0) as the Middle School (reference point)

Part A) we have

Town Hall is located 4.3 miles directly east of the Middle School

so

The coordinates of Town Hall are B(4.3,0)

The Fire Station is located 1.7 miles directly North of Town Hall

so

The coordinates of Fire Station are C(4.3,1.7)

What is the length of a straight line between the school and the Fire Station?

Remember that

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

A(0,0) and C(4.3,1.7)

substitute

$d=\sqrt{(1.7-0)^{2}+(4.3-0)^{2}}$

$d=\sqrt{(1.7)^{2}+(4.3)^{2}}$

$d=4.6\ miles$

Part B) we have that

The hospital is 3.1 miles west of the fire station

so

The coordinates of the hospital are D(4.3-3.1,1.7)

D(1.2,1.7)

What is the length of a straight line between the school and the hospital?

Remember that

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

A(0,0) and D(1.2,1.7)

substitute

$d=\sqrt{(1.7-0)^{2}+(1.2-0)^{2}}$

$d=\sqrt{(1.7)^{2}+(1.2)^{2}}$

$d=2.1\ miles$

7 0

2 years ago

Valery spent 1/5 of her money buying 8 pencils and 2 markers. Each marker cost twice as much as each pencil. She used 58 of her

vovangra [49]

1/10 and his Valero in all is 2862

4 0

2 years ago

The denominator of a certain fraction was 147 greater than its numerator. what was the denominator of this fraction, if after th

Dafna1 [17]

After reducing the fraction it becomes equal to 5/12. Let the common element which was cancelled out be x. So we can say the original fraction was $\frac{5x}{12x}$ .

The denominator of the fraction is 147 greater than the numerator. We can write it as:

12x = 147 + 5x

12x - 5x = 147

7x = 147

x = 21

So, the numerator of the fraction was 5 x 21 = 105
Denominator of the fraction was 12 x 21 = 252

So our original fraction was $\frac{105}{252}$

6 0

2 years ago