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2 years ago

Can someone help me with this?

Mathematics

1 answer:

KonstantinChe [14]2 years ago

4 0

Answer:

1. AE= 312

2. AC = 161

Step-by-step explanation:

Hey there!

In order to solve the first question, we need to think of possible "C" values

Then after finding the "C" value, we can then find the "A" and "E" values

So:

AC = 24 and CE = 13

What factors do 24 and 13 have in common?

Well, only 1 since 13 is a prime number]

So this means that C has to be 1

Now we know that A is 24 and E is 13

Now we have to multiply them together

24 x 13 is 312

So AE= 312

Now we go on to the second question

We can use the same strategy we used for number one

Instead of finding what C is, we need to find out what E is, since there is E in both of the statements

So:

CE = 7 and AE = 23

What common factors do these two numbers have?

Again, only 1, meaning that E can only be 1

Now we know that C is 7 and A is 23

Since we know this, we can multiply these two numbers together and get our final answer: 161

So AC = 161

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asambeis [7]

Answer:

$n\geq 23$

Step-by-step explanation:

-For a known standard deviation, the sample size for a desired margin of error is calculated using the formula:

$n\geq (\frac{z\sigma}{ME})^2$

Where:

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$ME$ is the desired margin of error.

We substitute our given values to calculate the sample size:

$n\geq (\frac{z\sigma}{ME})^2\\\\\geq (\frac{1.96\times 12}{5})^2\\\\\geq 22.13\approx23$

Hence, the smallest desired sample size is 23

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3 years ago

Sandra needs to make 500 L hand sanitizer with 75% alcoholic solution. He has only two of the alcoholic solutions available, a 6

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If Sandra mixes x L of 65% solution with y L of 90% solution, then the resulting mixture has a total volume of

x + y = 500

litres, and it contains

0.65x + 0.90y = 0.75 (500) = 375

litres of alcohol.

Solve the first equation for y :

y = 500 - x

Substitute this into the second equation and solve for x :

0.65x + 0.90 (500 - x) = 375

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3 years ago

A player shoots a basketball from a height of 6 feet. The equation, h = -16t^2 + 25t + 6, gives the height, h , of the basketbal

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Answer:

$\boxed {\boxed {\sf 7.5 \ feet}}$

Step-by-step explanation:

We are given this function for the height (h) after t seconds:

$h=-16t^2+25t+6$

Seconds is t and we want to find the height after 1.5 seconds. Plug 1.5 in for t.

$h= -16(1.5)^2+25(1.5)+6$

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

Solve the exponent first.

(1.5)²= 1.5*1.5=2.25

$h= -16(2.25)+25(1.5)+6$

Multiply.

$h= -36+25(1.5)+6$

$h= -36+37.5+6$

Add.

$h=1.5+6=7.5$

This is already rounded to the nearest tenth, so it is the answer.

After 1.5 seconds, the basketball is at a height of 7.5 feet.

6 0

3 years ago

Directions: Match the product and quotients estimates below with the correct expression on the left

prohojiy [21]

Answer:

Answer is in attached image.

Step-by-step explanation:

Given the expressions, for which we have to find the estimates as per the expressions on the left.

The given expressions are:

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3) 17.3 $\times$ 18.4

4) 999 $\div$ 208

5) 998 $\times$ 211

Here, we need to find the rounded off numbers.

35 can be rounded to 40 and 23 to 20.

Therefore, equivalent to 35 $\times$ 23 is 40 $\times$ 20

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Therefore, equivalent to 132 $\div$ 168 is 130 $\div$ 170.

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Therefore, equivalent to 17.3 $\times$ 18.4 is 17.0 $\times$ 18.0.

999 can be rounded to 1000 and 208 to 210.

Therefore, equivalent to 999 $\div$ 208 is 1000 $\div$ 210.

998 can be rounded to 1000 and 211 to 210.

Therefore, equivalent to 998 $\times$ 211 is 1000 $\times$ 210.

The solution can be found in the attached image as well.

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3 years ago

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5 0

3 years ago

Can someone help me with this?​

Can someone help me with this?