All categories

3 years ago

42 less than the product of 28 and an unknown number is 154. What is the value of the unknown number?

Mathematics

1 answer:

kap26 [50]3 years ago

6 0

(28 * x) -42 = 154
28x - 42 = 154
28x = 196

the unknown number is 7

You might be interested in

Which point on the graph shows the price of 6 ounces of cheese? Use the formula y=x÷2 to find y when x is 6.

Gwar [14]

Answer: The required point is A(6, 3) in the attached graph.

Step-by-step explanation: We are to find the point on the given graph that shows the price of 6 ounces of cheese.

The formula to be used is given by

$y=x\div 2\\\\\Rightarrow y=\dfrac{x}{2}~~~~~~~~~~~~~~~~(i).$

Given that,

when x = 2 then y = 1. That is, price of 2 ounces of cheese is $1.

when x = 7 then y = 3.5. That is, price of 7 ounces of cheese is $3.5.

when x = 14 then y = 7. That is, price of 14 ounces of cheese is $7.

Therefore, these points satisfy the given relation (i).

Hence, if x = 6, then from equation (i), we have

$y=\dfrac{x}{2}=\dfrac{6}{2}=3.$

Thus, the price of 6 ounces of cheese is &3. This gives that the required point is A(6, 3) on the graph attached below.

8 0

2 years ago

Read 2 more answers

PLEASE HELP I AM BEING TIMED. I AM VERY CONFUSED

Rasek [7]

Answer:

True

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Solve this problem using the proper formula. A carpenter is building a bookcase the perimeter of the top is 108 in. What length

lapo4ka [179]

Assuming the length is y and the width is x
Perimeter = y + y + x + x
                = 2y +2x
                = 2 (y + x)
if the is 8 and the perimeter is 108
   108 = 2 (y +8)
    108/2 = y+8
    54    = y +8
    54 - 8 = y
    46 = y

Length = 46 inches

3 0

3 years ago

Read 2 more answers

Y-2 = -3(x + 6), write the equation of the line in slope intercept form.

lisov135 [29]

Answer:

y = -3x - 16

Step-by-step explanation:

Point-slope form: y - y1 = m(x - x1)

Given: y - 2 = -3(x + 6)

Slope-intercept form: y = mx + b

To write the equation in slope-intercept form, we need to know the slope(m) and the y-intercept(b). By looking at the given equation, we can see that the slope is -3. We are also given the value of one point: (-6, 2).

To find the y-intercept, input the given values of the slope and the point into the equation format and solve for b:

y = mx + b

2 = -3(-6) + b

2 = 18 + b

Subtract 18 from both sides of the equation to isolate b:

2 - 18 = 18 - 18 + b

-16 = b

The y-intercept is -16.

Now that we know the slope and the y-intercept, we can write the equation:

y = -3x - 16

8 0

2 years ago

John is parasailing 350 ft away from the boat that pulls him. suppose he is lifted 400 feet into the air. Find the length of the

ohaa [14]

John
| \
| \
|. \
|. \
(a)400ft
|. \
|. \
|. \(c) length of rope
|. \
|. \
|____________________Boat
350 ft (b)

Pythagorean theorem
a-squared + b-squared = c-squared
400-squared + 350-squared = c-squared
160,000 + 122,500 = c- squared
282,500 = c-squared
Now take the square root of each side of the equation
531.5 = c
The length of the rope is 531.5 feet

7 0

2 years ago