Which value of x would make TV || QS ? A. 3 B. 8 C. 10 D. 11

Venita is factoring the expression 32 a b minus 8 b. She determines the GCF and writes the factored expression as 8 b (4 a minus

never [62]

Answer:

She subtracted the GCF from the second term in the expression instead of dividing.

Step-by-step explanation:

Given the expression 32ab-8b, to find the common greatest factor, we will bring out a function that us common to both terms 32ab and 8b. To do that, we need to first find their individual factors as shown:

32ab = (2×2×2)×2×2×a×(b)

8b = (2×2×2×b)

From both factors, the common terms are the values in parenthesis i.e 2×2×2×b = 8b

Hence the GCF of the expression 32ab - 8b is 8b. On factoring out 8b from the expression we will have;

= 32ab - 8b

= 8b(32ab/8b - 8b/8b)

= 8b(4a-1)

Comparing the gotten equation with Venita's own, 8b(4a-0), we can say that she correctly factored out the GCF but her error was that she subtracted 8b from the second term of the expression instead of dividing by 8b. 8b-8b is what gives her 0 making her expression wrong. She should have divided her second term also by 8b to have 8b/8b which results in 1 instead of 0 that venita got.

7 0

1 year ago

Read 2 more answers

Mark and Bonnie both make $11 per hour working for their parents. If they combine their efforts and work for the same amount of

Mademuasel [1]

To answer this we would need the expressions given.

5 0

1 year ago

A silent auction was held for a quilt donated for charity. Fifteen bids that were drawn randomly are listed here. Find the value

Alik [6]

45th percentile means that 45% of the data fall below that number while 55% (that is, 100-45) fall above it.

Now, arranging the number in ascending order;
$60, $85, $95, $105, $120, $145, $155, $175, $190, $215, $235, $240, $260, $285, $325

The total number of counts = 15
Then,
Index = 15*45% = 15*0.45 = 6.75

Round up,
Index = 7

The,
7th number = $155

Therefore, 45th percentile value of the data = $155

8 0

1 year ago

naveed makes 6.5litres of soup,correst to the nearest 0.5 litre he serves portions of his soup in 330ml cups correct to the near

Karolina [17]

Answer:

Number of Cups = 19

Step-by-step explanation:

Given

Size of Soup = 6.5 litres

SIze of cup = 330 ml

Required

Number of Cups.

First, it'll be assumed that the size of cups are uniform (the same).

The number of cups needed is calculated by dividing the size of soup by the size of the cup;

Number of Cup = Size of Soup/Size of Cup

Number of Cup = 6.5 litres/ 330 ml

Convert units;

1 litres = 1000 ml

So,

6.5 litres = 6.5 * 1,000 ml

6.5 litres = 6,500 ml

So,

Number of Cups = 6500 ml/330 ml

Number of Cups = 19.696969697

From the solution above, Naveed will definitely be able to serve 19 cups. The remaining fractional part won't fill a cup;

Hence, Number of Cups = 19

3 0

1 year ago

Ethan rollerbladed a total of 623 \text{ km}623 km623, start text, space, k, m, end text over ddd days. He rollerbladed the same

Sever21 [200]

Answer:

Ethan rollerbladed each day $\frac{623}{d}$ kilometers.

Step-by-step explanation:

Given:

Ethan rollerbladed a total of 623 km over d days.

Now, to find the kilometers Ethan rollerblade each day.

Total number of distance rollerbladed = 623 km.

Total number of days = $d.$

As, Ethan rollerbladed each day the same distance.

Now, to get the distance Ethan rollerbladed in each day we divide total number of distance rollerbladed by total number of days:

$Ethan\ rollerbladed\ each\ day\ =\ \frac{Total\ number\ of\ distance\ rollerbladed}{Total\ number\ of\ days}$

$Ethan\ rollerbladed\ each\ day\ =\ \frac{623}{d}$

Therefore, Ethan rollerbladed each day $\frac{623}{d}$ kilometers.

5 0

1 year ago