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atroni [7]
3 years ago
8

Hakima and Joshua both opened savings accounts. Both started with a balance of zero dollars. For every $3 that Hakima saves in h

er account, Joshua saves $5. If they have saved a total of $336, how much did Hakima save?
Mathematics
1 answer:
Semenov [28]3 years ago
4 0
Hakima saves 560. Divide the 336 by 3. you get 112 so you multiply that by 5
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You randomly choose one shirt from the shelves. Find the probability of the event of not choosing a a white shirt
Luba_88 [7]

Answer:

9/10

Step-by-step explanation:

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3 years ago
Question 5 (1 point)
aleksley [76]

Answer:

A = x^2 + 5x - 14

Step-by-step explanation:

A = L × W

A = (x+7) × (x-2)

A = x^2 + 7x - 2x - 14

5 0
3 years ago
insulin comes in 10 cubic centimeter(cc) vials labeled in the number of units of insulin per cubic centimeter of fluid. A vial m
Sergio [31]

Answer:

<em>8.25 cc fluid should be drawn into the syringe from the U40 vial.</em>

Step-by-step explanation:

The amount of a U40 vial insulin fluid is 10 cc.

A vial marked U40 has 40 units of insulin per cubic centimeter of fluid.

Suppose, if a patient needs 33 units of insulin, then x cc fluid should be drawn.

So, <u>according to the ratio of "cubic centimeter" to "the units of insulin"</u>, the equation will be.........

\frac{x}{33}=\frac{10}{40}\\ \\40x=330\\ \\ x=\frac{330}{40}=8.25

So, 8.25 cc fluid should be drawn into the syringe from the U40 vial.

8 0
3 years ago
Use the Factor Theorem and synthetic division to show x + 5 is a factor of f(x) = 2x3 + 7x2 − 14x + 5
olga2289 [7]

Answer:

Factor theorem: f(-5) = 0.

Synthetic division: f(x) = (x + 5)\, (2\, x^2 -3\, x + 1).

Step-by-step explanation:

<h3>Factor Theorem</h3>

By the factor theorem, a monomial of the form (x - a) (where a is a constant) is a factor of polynomial f(x) if and only if f(a) = 0.

In this question, the monomial is (x + 5), which is equivalently (x - (-5)). a = -5.

\begin{aligned}& f(-5) \\ &= 2 \times (-5)^{3} + 7 \times (-5)^{2}- 14\times (-5) + 5\\ &= -250 + 175 + 70 + 5 \\ &= 0\end{aligned}.

Hence, by the factor theorem,  (x + 5), which is equivalent to (x - (-5)), is a factor of f(x).

<h3>Synthetic Division</h3>

\begin{aligned}& f(x) \\ &= 2\, x^{3} + 7\, x^{2} - 14\, x + 5 \\ &= \underbrace{(x + 5) \, (2\, x^2)}_{2\, x^{3} + 10\, x^{2}} - 3\, x^{2} - 14\, x + 5 \\ &= \underbrace{(x + 5) \, (2\, x^2)}_{2\, x^{3} + 10\, x^{2}} + \underbrace{(x + 5)\, (-3\, x)}_{-3\, x^{2} - 15\, x} + (x + 5) \\ &= (x + 5)\, (2\, x^{2} - 3\, x + 1)\end{aligned}.

The remainder is 0 when dividing f(x) by (x + 5). Hence, (x + 5)\! is a factor of f(x)\!.

6 0
3 years ago
Find the distance between the points (1, 0) and (0, 2). √3 √5 1
GalinKa [24]

For this case we have that by definition, the distance between two points is given by:

d = \sqrt {(x_ {2} -x_ {1}) ^ 2+ (y_ {2} -y_ {1}) ^ 2}

We have the following points:

(x_ {1}, y_ {1}): (1,0)\\(x_ {2}, y_ {2}): (0,2)

Substituting we have:

d = \sqrt {(0-1) ^ 2 + (2-0) ^ 2}\\d = \sqrt {(- 1) ^ 2 + (2) ^ 2}\\d = \sqrt {1 + 4}\\d = \sqrt {5}

Thus, the distance between the points is\sqrt {5}

Answer:

d = \sqrt {5}

4 0
3 years ago
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