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4 years ago

3(58 - 6) - 2(4x + 5)? Which expression is equal to

Mathematics

1 answer:

larisa86 [58]4 years ago

7 0

Answer:

-8x + 146

Step-by-step explanation:

Step 1: Write out expression

3(58 - 6) - 2(4x + 5)

Step 2: Parenthesis

3(52) - 2(4x + 5)

Step 3: Multiply

156 - 2(4x + 5)

Step 4: Distribute

156 - 8x - 10

Step 5: Combine like terms (constants)

-8x + 146

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Cathy is paid at a rate of K7.20 per hour for a basic hour-week of 70 hours. She is paid time-and-a-half for over-time during th

Levart [38]

Answer:

K1310.4

Step-by-step explanation:

Basic pay per hour = K7.20

Overtime pay during the week per hour = 1 1/2 * K7. 20 = K10.8

Weekends = 2 * K7.20 = K14.4

Basic hours per week = 70 hours

In a fortnight :

Basic hours = 70 * 2 = 140 hours :

Hence, Overtime during the week = (160 - 140) = 20 hours

Weekend hours = (4 +2) = 6 hours

Total earning :

(140 * 7.20) + (20 * 10.8) + (6 * 14.4)

1008 + 216 + 86.4

= K1310.4

5 0

4 years ago

Find two positive numbers such that the sum of the first and twice the second is 56 and whose product is a maximum

Svetlanka [38]

Let
x-------> the first number
y-------> the second number
P-----> product

we know that
x+2y=56----------> 2y=56-x-----> y=28-0.5x------> equation 1
P=x*y----> equation 2

substitute equation 1 in equation 2
P=x*[28-0.5x]-----> P=28x-0.5x²

using a graph tool
see the attached figure
the vertex is the point (28,392)
that means
for x=28
the product is 392 (maximum)
find the value of y
y=28-0.5x----> y=28-0.5*28----> y=14

the answer is
the numbers are 28 and 14

5 0

4 years ago

Find what percent 591 is of 2364

kati45 [8]

To find the percent you would divide 591 by 2364
591/2364=.25
.25*100 = 25%
Does that make sense?

3 0

3 years ago

Read 2 more answers

Question:

Leno4ka [110]

If the rockhopper penguin is 24 inches shorter then you take the height of the emperor penguin ( <span>45 inches tall.)

then you take 45-24 which is 21

Answer </span>the rockhopper penguin is 21 inches tall

7 0

4 years ago

DS=3x+10 and SE=6x-2. What is the value of DE?

Lisa [10]

Answer:

9x+8

Step-by-step explanation:

Given DS = 3x+10 and SE = 6x-2_ the value of DE is expressed as shown;

DE = DS+SE

Substitute the given functions into the formula to get DE

DE = (3x+10)+(6x-2)

Open the parentheses

DE = 3x+10+6x-2

Collect the like terms

DE = 3x+6x+10-2

DE = 9x+8

Hence the value of DE is 9x+8

5 0

4 years ago