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DiKsa [7]
3 years ago
6

Find the smallest multiple of 15 such that each digit of the multiple is either 0 or 4

Mathematics
1 answer:
SCORPION-xisa [38]3 years ago
5 0
The answer is 4440.  You can determine this by using your rules of divisibility.  We know that is must end in a 0 or 5 to be divisible by 5 and that the sum of the digits must be divisible by 3 in order to divide by 3. One or two 4's together are not divisible by 3.  Three 4's are, but it must end in 0 to be divisible by 5 as well.


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Peter has twice as many stickers as Joe. Joe has 40 more stickers than Emily. They have 300 Stickers altogether. How many sticke
GarryVolchara [31]

Answer:

170

Step-by-step explanation:

Equations derived from given info.

  • P=2J
  • J=E+40
  • P+J+E=300

Use some substitution now.

  • P=2(E+40)
  • J=E+40
  • P+J+E=300

Substitute first and second equation into third.

  • 2(E+40)+E+40+E=300
  • 2E+80+E+40+E=300
  • 4E+120=300
  • 4E=180
  • E=45

Emily has 45 stickers. But we want to know what Peter has.

Use P=2(E+40)

  • P=2(45+40)
  • P=90+80
  • P=170

Peter has 170 stickers.

4 0
3 years ago
What is the value of C in the matrix equation below?
lara [203]

Given:

The matrix equation is:

\begin{bmatrix}-18&3&5\end{bmatrix}-C=\begin{bmatrix}-22&1&12\end{bmatrix}

To find:

The value of matrix C.

Solution:

Let A=\begin{bmatrix}-18&3&5\end{bmatrix},B=\begin{bmatrix}-22&1&12\end{bmatrix}. Then the given equation can be rewritten as

A-C=B

-C=B-A

C=-(B-A)

C=A-B

On substituting the values of the matrices, we get

C=\begin{bmatrix}-18&3&5\end{bmatrix}-\begin{bmatrix}-22&1&12\end{bmatrix}

C=\begin{bmatrix}-18-(-22)&3-1&5-12\end{bmatrix}

C=\begin{bmatrix}-18+22&2&-7\end{bmatrix}

C=\begin{bmatrix}-4&2&-7\end{bmatrix}

Therefore, the correct option is C.

6 0
2 years ago
Read 2 more answers
In a national survey of 1987 adults, 1570 responded that lack of respect and courtesy in American society is a serious problem,
Alik [6]
<h2>Answer with explanation:</h2>

As per given , we  have

H_0: p\leq\dfrac{3}{4}\\\\H_a: p>\dfrac{3}{4}

Since , alternative hypothesis is right tailed, so the test is a right tailed test.

n= 1987

Proportion of adults believe that rudeness is a worsening problem : p=\dfrac{1257}{1987}\approx 0.6326

Test statistic : z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}

z=\dfrac{ 0.6326-0.75}{\sqrt{\dfrac{0.75(1-0.75)}{1987}}}=-12.09

(since , the normal curve takes values of z from -7 to 7, so we use critical value to draw conclusion.)

The critical value for a significance level of 0.005= 1.645

Since , absolute test statistic value (12.09) is greater than the critical value (1.645), it means there is statistical significance and so we reject the null hypothesis.

3 0
3 years ago
Eleni is making 6 pizzas. She uses 13 jar of sauce on each pizza.
Whitepunk [10]

Answer:

78

Step-by-step explanation:

13 jars/pizza

6 pizzas

13x6=78

7 0
2 years ago
Read 2 more answers
Francesca is growing 12 inches each year. How many years will it take for her to grow 6 inches
worty [1.4K]

Answer:

half a year

Step-by-step explanation:

if she grows 12 inches in one year 6 is half of that so half a year or 6 months

5 0
2 years ago
Read 2 more answers
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