A basketball player made 40% of the shots she attempted. If she made 32 baskets, how many shots did she attemp A.32 B.40 C.64 D. 80

Answers

Answer 1
Answer: D 80
32/40 *100
Precent proportions
32/x = 40/100
Cross multiply

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Solve for x
log(x–4)+log(x+3)=2logx

Answers

D:x-4>0 \wedge x+3>0 \wedge x>0\nD:x>4 \wedge x>-3 \wedge x>0\nD:x>4\n\n\log(x-4)+\log(x+3)=2\log x\n\log(x-4)(x+3)=\log x^2\n(x-4)(x+3)=x^2\nx^2+3x-4x-12=x^2\n-x=12\nx=-12\n-12\not\in D\n\Downarrow\n\boxed{x\in\emptyset}

Somebody help please?

Answers

#2:

Square root of 135 is approximately 11.61895, so it's closest to 11 and 12.

#3:

Square root of 200 is approximately 14.1421356, so it's closest to 14 and 15.

#4:

Square root of 192 is approximately 13.8564065, so it's closest to 13 and 14.

#5:

Square root of 37 is approximately 6.08276253, so it's closest to 6 and 7.
√135 = 11,61895003862225, so two whole numbers closest to that are 11and 12

√200 = 14,14213562373095, so two whole numbers closest to that are 14 and 15

√192 = 13,85640646055102, so two whole numbers closest to that are 13 and 14

√37 = 6,08276253029822, so two whole numbers closest to that are 6 and 7

Line ZR bisects ∠QTS. Which is true? A. m∠QTR = m∠RTS B. m∠ZTS = m∠RTS C. m∠ZTQ = m∠QTR D. m∠STR < m∠QTR

Answers

Is the choice A:    m∠QTR = m∠RTS]

How do you write the following expanded number in standard notation?10,000,000 + 500,000 + 3,000 + 90 + 7

10,503,970
10,503,097
1,503,097
10,053,097

Answers

10,503,097
Just add all of the numbers together
and then add the commas. (:

-7x-2y=-13
-3x-2y=-12 by substitution

Answers

Answer: x = 0.25, y = 5.625 or ((1)/(4), (45)/(8))

Step-by-step explanation:

    To solve by substitution, we will first isolate one of the variables in one of the given equations.

         -7x - 2y = -13 ➜ y = -3.5x + 6.5

    Then, we will substitute this into the other given equation and solve for x.

         -3x - 2y = -12

         -3x - 2(-3.5x + 6.5) = -12

         -3x + 7x - 13 = -12

         4x = 1

         x = 0.25

    Lastly, we will substitute this value of x into the equation we solved for to find y.

         y = -3.5x + 6.5

         y = -3.5(0.25) + 6.5

         y = 5.625

My grandparents have four grandchildren. The product of the ages of the four grandchildren is 67 184. The youngest grandchild is younger than 10, and is also 30 years younger than the oldest grandchild.Determine all possibilities for the ages of my grandparents’ grandchildren.

Answers

Answer:

The possible ages of the four grandchildren are a = 4, b = 19, c = 26, and d = 34

Step-by-step explanation:

The given parameters are;

The number of grandchildren in the family = 4

The product of the ages of the four grand children = 67184

The age of the youngest grandchild < 10

The age of the oldest grandchild = 30 + The age of the youngest grandchild

Let a represent the age of the youngest grandchild, and let b, and c represent the ages of the other two intermediate grandchild

Therefore, we have;

a < 10

The age of the oldest grandchild = a + 30 < 10 + 30

∴ The age of the oldest grandchild < 40

The product of the ages of the four grandchildren = a × b × c × (a + 30) = 67184

The factors of 67184 that are between 1 and 40 are;

1, 2, 4, 8, 13, 16, 17, 19, 26, 34, 38

Taking a = 8, we have;

The age of the oldest grandchild × The age of the youngest grandchild = a × (a + 30) = 8 × 38 = 342

Therefore. a × b = 67184/(a × (a + 30) = 196.44

Therefore, a ≠ 8

For a = 4, we have the age of the oldest grandchild = a + 30 =  4 + 30 = 34

The age of the oldest grandchild × The age of the youngest grandchild = a × (a + 30) = 4 × 34 = 136

Therefore. a × b = 67184/(a × (a + 30) = 494

We find that the other factors of 67184, which are 19 and 26 have a product of 494

Therefore, the possible ages of the four grandchildren are a = 4, b = 19, c = 26, and d = 34

To give, 4 × 19 × 26 × 34 = 67,184.