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Darya [45]
3 years ago
5

A class of 50 students elected a class president. Candidate A received 15 votes. Candidate B received 25 votes. The remainder of

the class did not vote. Which expression gives the percent of voters who voted for Candidate B?
Mathematics
1 answer:
borishaifa [10]3 years ago
7 0
25/50 * 100%  is the expression that gives the percent of voters who voted from candidate b.

Candidate B. 25/50 = 0.50 * 100% = 50%

Candidate A. 15/50 = 0.30 * 100% = 30%

Did not vote (50-25-15)/50 = 10/50 = 0.20 * 100% = 20%

Voted Candidate A             15       30%
Voted Candidate B             25       50%
Did not vote                       <u> 10 </u>      <u>20%</u>
Total number of students    50     100%
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Answer:

<em>She can fill 19 pots.</em>

Step-by-step explanation:

Yao Xin puts \frac{3}{10} liters of potting soil in each pot.

Suppose, the number of pots Yao Xin can fill is x

So, <u>the total amount of potting soil</u> in x number of pots will be:  \frac{3}{10}x liters.

Given that, she has 5\frac{2}{3} or \frac{17}{3} liters of potting soil. So, the equation will be........

\frac{3}{10}x= \frac{17}{3} \\ \\ x=\frac{17}{3}* \frac{10}{3}= \frac{170}{9}=18\frac{8}{9}

So, she can fill  pots.

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3 years ago
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NARA [144]

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compute the projection of → a onto → b and the vector component of → a orthogonal to → b . give exact answers.
Nina [5.8K]

\text { Saclar projection } \frac{1}{\sqrt{3}} \text { and Vector projection } \frac{1}{3}(\hat{i}+\hat{j}+\hat{k})

We have been given two vectors $\vec{a}$ and $\vec{b}$, we are to find out the scalar and vector projection of $\vec{b}$ onto $\vec{a}$

we have $\vec{a}=\hat{i}+\hat{j}+\hat{k}$ and $\vec{b}=\hat{i}-\hat{j}+\hat{k}$

The scalar projection of$\vec{b}$onto $\vec{a}$means the magnitude of the resolved component of $\vec{b}$ the direction of $\vec{a}$ and is given by

The scalar projection of $\vec{b}$onto

$\vec{a}=\frac{\vec{b} \cdot \vec{a}}{|\vec{a}|}$

$$\begin{aligned}&=\frac{(\hat{i}+\hat{j}+\hat{k}) \cdot(\hat{i}-\hat{j}+\hat{k})}{\sqrt{1^2+1^1+1^2}} \\&=\frac{1^2-1^2+1^2}{\sqrt{3}}=\frac{1}{\sqrt{3}}\end{aligned}$$

The Vector projection of $\vec{b}$ onto $\vec{a}$ means the resolved component of $\vec{b}$ in the direction of $\vec{a}$ and is given by

The vector projection of $\vec{b}$ onto

$\vec{a}=\frac{\vec{b} \cdot \vec{a}}{|\vec{a}|^2} \cdot(\hat{i}+\hat{j}+\hat{k})$

$$\begin{aligned}&=\frac{(\hat{i}+\hat{j}+\hat{k}) \cdot(\hat{i}-\hat{j}+\hat{k})}{\left(\sqrt{1^2+1^1+1^2}\right)^2} \cdot(\hat{i}+\hat{j}+\hat{k}) \\&=\frac{1^2-1^2+1^2}{3} \cdot(\hat{i}+\hat{j}+\hat{k})=\frac{1}{3}(\hat{i}+\hat{j}+\hat{k})\end{aligned}$$

To learn more about scalar and vector projection visit:brainly.com/question/21925479

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3 0
2 years ago
Write 3 numbers less than 50 that have exactly 3 factors
tino4ka555 [31]

Answer:

10,20,40

Step-by-step explanation:

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6 0
4 years ago
Rksheet
VLD [36.1K]

See below for the terms, coefficients, and constants in the variable expressions

<h3>How to determine the terms, coefficients, and constants in the variable expressions?</h3>

To determine the terms, coefficients, and constants, we use the following instance:

ax + by + c

Where the variables are x and y

  • Then the terms are ax, by and c
  • The coefficients are a and b
  • The constant is c

Using the above as guide, we have:

A) 2b + 2ac+5

  • Terms: 2b, 2ac, 5
  • Coefficient: 2, 2 and 5
  • Constant 5

B) 34abx + 16y +1

  • Terms: 34abx, 16y, 1
  • Coefficient: 34ab, 16
  • Constant: 1

C) st +4u + v

  • Terms: st, 4u, v
  • Coefficient: 4

D) 14xy + 6

  • Terms: 14xy, 6
  • Coefficient: 14, 6
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E) 14x + 12y

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  • Coefficient: 14, 12

F) 3+ 6-7+a

  • Terms: 3, 6, -7, a
  • Coefficient: 1
  • Constant: 3, 6, -7

Read more about terms, coefficients, and constants at:

brainly.com/question/14625487

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2 years ago
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