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3 years ago

A sweater is on sale for 40% off the regular price. Ella save $20 by buying the sweater on sale. What is the normal price?

Mathematics

1 answer:

Annette [7]3 years ago

8 0

Answer:

The original price is $50

Step-by-step explanation:

To find the normal price, we simply divide the amount she saves by the percentage of that savings. This will give us the original amount that it costs.

$20/40% = $50.

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In circle O, AP = √10, PB = x and BC = 3. Find the value of x.

Artyom0805 [142]

Answer:

The value of x is $2\ units$

Step-by-step explanation:

we know that

Applying the tangent-secant theorem

$AP^{2}=PB*PC$

substitute the values and solve for x

$\sqrt{10}^{2}=x*(x+3)$

$10=x^{2}+3x$

$x^{2}+3x-10=0$

using a graphing tool

to solve the quadratic equation

The solution is $x=2\ units$

see the attached figure

7 0

4 years ago

A high school basketball coach is selecting his team. The minimum and maximum height requirements are as follows:

daser333 [38]

Answer:

B. About 2% of the boys are eligible to be a small forward on the team

Step-by-step explanation:

Recall : 1 feets = 12 inches

Point guard = 6’2" – 6’6" tall = 74 - 78 inches

Mean = 70 ; Standard deviation = 4

Z = (x - mean) / standard

P(x < 74) = (74 - 70) / 4 = 1

P(x < 78) = (78 - 70) / 4 = 2

0.97725 - 0.84134 = 0.13591

Small forward : 6'6" = 78 inches

P(x ≥ 78) = (78 - 70) / 4 = 2

P(z ≥ 2) = 0.02275 = 2.275% about 2%

Centre : 6'8" = 80

P(x ≥ 80) = (80 - 70) / 4 = 2.5

P(z ≥ 2.5) = 0.0062097 = 0.62%

8 0

3 years ago

A basketball has a circumference of 29.5 inches using 3.14 as an approximation for pie what is the basketball volume to the near

Elena L [17]

It is about 434 cubic inches.

4 0

3 years ago

2, 6, 10, 15, ... O Arithmetic O Geometric O Neither

natima [27]

Given:

The sequence is:

2, 6, 10, 15,...

To find:

Whether the given sequence is Arithmetic, Geometric, Neither.

Solution:

We have,

2, 6, 10, 15,...

Different between consecutive terms are:

$6-2=4$

$10-6=4$

$15-10=5$

Since $4\neq 5$ , therefore the given sequence has no common difference. It means it is not an arithmetic sequence.

Ratio of consecutive terms are:

$\dfrac{6}{2}=3$

$\dfrac{10}{6}=\dfrac{5}{3}$

Since $3\neq \dfrac{5}{3}$ , therefore the given sequence has no common ratio. It means it is not a geometric sequence.

Since the given sequence is neither arithmetic nor geometric, therefore the correct option is C.

3 0

3 years ago

Complete the patterns 0.02 .02

Iteru [2.4K]

they're both decimals the only difference is that one of them has a zero in front of the ddecimal

4 0

3 years ago