Frank deposits his savings at the bank. After 3 years, it has earned $102 in interest, at a simple

Classify the triangle by its sides. The diagram is

Cloud [144]

Answer:

D

Step-by-step explanation:

It has 2 equal sides

4 0

3 years ago

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The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 6 to 5. Ir there were 3

Gemiola [76]

Answer:

The total number of votes was $7,007$

Step-by-step explanation:

Let

x -----> the number of yes votes

y -----> the number of no votes

we know that

$\frac{x}{y} =\frac{6}{5}$

isolate variable y

$y=\frac{5}{6}x$ -----> equation A

$x=3,822$ -----> equation B

Substitute equation B in equation A and solve for y

$y=\frac{5}{6}(3,822)=3,185$

therefore

To find out the total number of votes sum the number of yes votes plus the number of no votes

$3,822+3,185=7,007$

3 0

3 years ago

Read 2 more answers

Each marble bag sold by Hans's Marble Company contains 8 purple marbles for every 5 green marbles. If a bag has 30 green marbles

gregori [183]

We can set up a proportion since we know the ratio between the # of purple marbles and the # of green marbles.

A ratio is a way to compare two different values: for every 8 purple marbles there are 5 green marbles

<h2> $\frac{8}{5} = \frac{p}{30}$ </h2><h2 /><h2>when we cross multiply, we get 5p = 240 </h2><h2>we divide both sides by 5 to isolate the variable </h2><h2 /><h3><u>There are 48 purple marbles </u></h3>

3 0

4 years ago

to gather data for a statistics project, a student asked 10 friends how many hours of sleep they got on the previous night. The

vovikov84 [41]

Answer:

3

Step-by-step explanation:

Given the data: 7 6 5 9 3 4 7 9 5 8

INTERQUARTILE RANGE (IQR) = Q3 - Q1

Rearranging the data: 3, 4, 5, 5, 6, 7, 7, 8, 9, 9

Q3 = 0.75(n+1)th term

Q3 = 0.75(10 + 1) th term

Q3 = 0.75(11)th term = 8.25th term

Taking the 8th term = 8

Q1 = 0.25(11)th term = 2.75th

Taking the average of the 8th and 9th term:

(5 + 5) / 2 = 10/2 = 5

Q3 - Q1 = (8 - 5) = 3

7 0

3 years ago

ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing. Show your work or give an explaination.

leonid [27]

Answer:

C. F(x) = 2(x-2)²+2

Step-by-step explanation:

This graph was changed by a vertical and horizontal shift because the graph moved over and up

A vertical shift would be when a constant is added to the output, resulting in the graph moving up or down: y = f(x) + k
A horizontal shift would be when a constant is added to the input, resulting in the graph moving left or right: y = f(x + h)

With this information we can determine how the graph was transformed

Looking at the graph, the origin is now at (2,2) instead of (0,0)
We can see that the graph moved to the right h units, indicating a horizontal shift 2 units to the right
We can also see that the graph moved up k units, indicating a vertical shift 2 units upward

Our equation for f(x) should be in the form y = a(x + h)² + k

Substituting in all our known values, we get the equation:
F(x) = 2(x-2)²+2

5 0

3 years ago