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Romashka-Z-Leto [24]
2 years ago
11

Need help please ASAP !!

Mathematics
1 answer:
Aliun [14]2 years ago
8 0

Step-by-step explanation:

{2}^{3}  \times  {2}^{2}

{2}^{3 + 2}

{2}^{5}

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how many pounds of candy worth $12 per pound should be mixed with candy costing $19 per pound to produce a 70 pound mixture that
sweet-ann [11.9K]

Answer:

40 pounds

Step-by-step explanation:

Given: Cost of a candy (c_1)= \$ 12 per pound

           Cost of candy (c_2) = \$ 19\ per\ pound

           Total amount of mixture of be produced = 70\ pound

           Selling price of mixture = \$ 15 \ per\ pound

Let´s x be the amount of c_1 to be mixed in the mixture.

∴ Cost of c_1 in the mixture = 12x

Next, Cost of c_2 in the mixture = (70 - x)\times 19

And we know the cost of final mixture = 70 \times 15 = 1050

Now, putting all the value in the equation

⇒ 12x + 19 \times (70 - x) = 1050

⇒ 1330 - 7x = 1050

⇒ -7x = -280

∴ x = 40\ pound

∴ 40 pounds of candy worth $12 per pound to be mixed in the mixture.

6 0
3 years ago
A rectangle's length is twice its width. if the perimeter is 120 cm, find the width of the rectangle.
dangina [55]
Let's use the formula to find the perimeter of a rectangle.
2l+2w=120
We know that the length is twice its width; the equation would be:L=2w
We can plug that in to the formula.
2(2w)+2w=120
4w+2w=120
6w=120
120÷6=20=w
Since the length is twice its width, 20×2=40. The length is 40 cm.
The width is 20 cm.
Tell me if this helps!!
4 0
3 years ago
A pair of pants regularly costs $68. The pants are on sale for 45% of the original price. How much will the discount be?
Novay_Z [31]

The discounted amount of pair of pants is $37.4

<u>Solution:</u>

Given, A pair of pants regularly costs $68.  

The pants are on sale for 45% of the original price.  

We have to find that how much will the discount be?

Now, <em>discounted amount = original price – sold price </em>

Discounted amount = original price – 45% of original price

Discounted amount = $68 – 45% of $68

\begin{array}{l}{=68-\frac{45}{100} \times 68=68\left(1-\frac{45}{100}\right)=68 \times \frac{100-45}{100}=68 \times \frac{55}{100}} \\\\ {=\frac{3740}{100}=\$ 37.4}\end{array}

Hence, the discounted amount is $37.4

6 0
3 years ago
A set of N = 20 exam scores has a mean of m = 50. The instructor discovered that an error was made grading one exam, so 20 point
tatuchka [14]

Answer:

The new mean for the exam scores is 51

Step-by-step explanation:

the mean can be calculated using the formula

mean of scores = \frac{Sum total    of scores}{Number of students}

before the 20 points was added, the mean of the score was = 50.

Inserting this into the formula, we have:

50 = \frac{Sum total}{20 students}

from this, we can compute the sum total of the scores as

sum total = 50 × 20 = 1000

when the extra 20 marks is added, the sum of the entire scores will be changed to 1000 + 20 = 1020.

Hence the new mean will be computed as (New Sum total of scores / Number of students)

= \frac{1020}{20} = 51.

∴ The new mean of the scores is = 51

8 0
3 years ago
(x+6)(−x+1)=0 greatest x and least x = 0
Bumek [7]

Answer:

x=-6

×=1

Step-by-step explanation:

remove parentheses

connect like terms

change the signs

calculate the discriminant

simplify

6 0
2 years ago
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