Find 43 + 28. draw jumps and label number line to show your thinking

When someone donated 14 gallons of paint to Rosendale Elementary School, the fifth grade decided to use it to paint murals. They

Naddika [18.5K]

Answer:

Answered

Step-by-step explanation:

Total amount of paint = 14 gallons

the paint was distributed equally among 4 classes

a. therefore each class would get $\frac{14}{4}$ gallons of paint

= $3\frac{1}{2}$ gallons each

b.Three classes will use 3× paint of each class

= $3\times3\frac{1}{2}$ = 10(1/2) gallons

c. 4 student paint 30 square-foot wall the each student would paint

$\frac{30}{4}$ = 7(1/2) square-foot wall.

d. each student will paint $\frac{1}{4}$ of the wall since there are 4 students.

6 0

2 years ago

Write a recursive rule for the sequence. Assume it starts with the 1st term. 10, 14, 18, 21...

Papessa [141]

Option D is correct. The correct option for the recursive formula is $f(0) =6;f(n)=f(n - 1)+4$

Given the sequence 10, 14, 18...

The first term is 10, hence

a1 = 10

The previous terms will be $a_{n-1}$

From the sequence, we can see that <em>4 is being added to the previous term to get the next term</em>. Hence the nth term will be expressed as:

$a_n = a_{n-1} + 4$

Get the term before the first term $a_0$

If n = 1

$a_1 = a_{1-1} + 4\\a_1 = a_{0} + 4\\a_0=a_1-4\\a_0=10-4\\a_0=6$

Hence the correct option for the recursive formula is $f(0) =6;f(n)=f(n - 1)+4$

Learn more here: brainly.com/question/18233843

3 0

2 years ago

For the 405 highway that car pass through a checkpoint, assume the speeds are normally distributed such that μ= 61 miles per hou

Strike441 [17]

Answer:

$Z = 1$

Step-by-step explanation:

Z - score

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 61, \sigma = 4$

Calculate the Z value for the next car that passes through the checkpoint will be traveling slower than 65 miles per hour.

This is Z when X = 65. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{65 - 61}{4}$

$Z = 1$

4 0

2 years ago

Please explain this. I don't get what it means by an equal difference over an equal interval!!!

zzz [600]

<span>I, only. The first situation is a linear function, growing the same amount every day. (Constant slope) The other two are exponential functions with the amount changing from interval to interval. Even if the percentage remains the same.</span>

5 0

2 years ago

If every dimension of a two-dimensional figure is multiplied by k, by what quantity is the area multiplied?

Igoryamba

For example: Square has dimension a
A = a² and if every dimension is multiplied by k new dimension would be:
A 1 = k² a² = k² A.
Or the area of rhombus: A = d1 * d 2 / 2
New area is: A 1 = k d 1 * k d 2 / 2 = k² A
Answer: If every dimension of two-dimensional figure is multiplied by k, the area is multiplied by k².

8 0

2 years ago