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2 months ago

The product of two whole numbers is 196 and their sum is 35. what are the two numbers

1 answer:

8 0

A) The product of x and y equals 196. Thus, A) x is equal to 196 divided by y.

B) The sum of x and y is 35. By substituting A) into B), we have
B) 196 divided by y plus y equals 35. Multiplying both sides by y yields
B) 196 plus y squared equals 35y. This results in B) y squared minus 35y plus 196 equals 0.
Therefore, the solutions are X1 = 28 and X2 = 7.

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6a−3b=5b solve for a:b ratio plz help

babunello [11817]

Add 3b to both sides, then simplify. Next, divide both sides by 6 and simplify it further, leading to the result of a = 4b/3.

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2 months ago

Read 2 more answers

A dental laboratory technician earns $14 per hour when she work days and $18 per hour when she works nights. One month she works

Inessa [12570]

Answer:

Her accumulated earnings for the month total $2208

Step-by-step explanation:

A dental lab technician receives $14 hourly for day shifts and $18 hourly for night shifts.

During one month:

She completed six 4-hour day shifts

Thus, total hours worked = $6 \times 4 = 24 hours$

Three 8-hour day shifts = $3 \times 8 = 24 hours$

Three 10-hour day shifts = $3 \times 10 = 30 hours$

Total day hours = 24+24+30=78 hours

Hourly rate for daytime work = $14

Cost for 78 day hours = $14 \times 78 =1092$

Five 6-hour night shifts= $5 \times 6 = 30 hours$

Four 8-hour night shifts = $4 \times 8 = 32 hours$

Total night hours = 30+32=62 hours

Hourly rate for nighttime work = $18

Cost of 62 night hours = $62 \times 18=1116$

Thus, total monthly earnings = $1092+$1116 = $2208

Consequently, her total pay for the month amounts to $2208

5 0

2 months ago

Before the last school year began, it was estimated that the average discretionary personal expenses each school year for a stud

tester [12383]

Answer:

M=2,179.29

The average exceeds the estimate

Her expenses would need to be $1,625.00

Step-by-step explanation:

1.) What is the mean of her friends' personal expenses?

The mean is defined as the average expense value, calculated as follows:

$M=\frac{2,800+1,990+2,005+2,400+1,860+2,200+2,000}{7}\\M=2,179.29$

2.) Is the average higher or lower than the estimate?

Given the estimate of $2,110, the average is indeed higher than this estimate.

3.)What amount of personal expenses would Ashley need to maintain a combined average of $2,110 with her friends' amounts for that school year?

$M= 2,110=\frac{7*2,179.29+x}{8} \\x=2,110*8 - 15,255\\x=1,625$

Her needed amount of expenses would be $1,625.00.

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2 months ago

Two concentric circles with radii of 19 and 29 units bound a shaded region. A third circle will be drawn with area equal to that

zzz [12365]

The expression is 4*sqrt(30). Work Shown: Let's define circles P and Q with P representing the area of the circle with a radius of 19 and Q for a radius of 29. By using A = π*r², P calculates to 361π and Q to 841π. The resultant shaded area between circles P and Q is R = Q - P, which amounts to 480π. To ascertain the radius of a new circle S that would equal this area, we simplify R = 480π to find r = sqrt(480) leading us to r = 4*sqrt(30).

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1 month ago

60 more than nine times a number is the same as two less than 10 times the number what is the number

PIT_PIT [12445]

Let's tackle your equation step-by-step.

9x+60=10x−2

Step 1: Subtract 10x from each side.

9x+60−10x=10x−2−10x

−x+60=−2

Step 2: Subtract 60 from each side.

−x+60−60=−2−60

−x=−62

Step 3: Divide both sides by -1.

−x /−1 = −62 /−1

x=62

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2 months ago