The number A8 is a two-digit number with a digit A and units (ones) digit 8.

Similarly, 3B is a two-digit number with tens digit 3 and units digit B.

When A8 is multiplied by 3B, the result is the four digit number 0730. That is,

A8

x 3B

C730

If A, B, and C are each different digits from 0 to 9, determine the values of A.

B. and C.

Answers

Answer 1

Answer:

A = 7

B = 5

C = 2

Step-by-step explanation:

We are given;

A8 × 3B = C730

Now, by inspection, in multiplication of the above, the product of 8 and B must produce a number whose unit digit is 0.

Thus,the only two single digit numbers that can fit this description for B is either 5 or 0 since if they would yield a unit digit of 0 when multiplied by8.

Now, let's test 0.

If B is 0, it means the unit digit of C730 is 0 as wanted while the remaining product of A8 and 3 should yield C73. Now product of A8 and 3 would produce a number with a last digit of 4. But our last digit there in C73 is 3. Thus, it means B cannot be 0 but is 5.

Thus, it means 3B is 35.

Now, we are told that A, B and C could be any single digit number.

from 0 - 9.

Thus, the maximum value of A is 9.

Let's try to put 9 for A and multiply by 35.

If A is 9,then 98 × 35 = 3430

It means that the maximum value of C is 3.

Thus, C can either be 3 or less than 3. So, C is either 1, 2, or 3

Now, if C = 1, it means the C730 is now 1730.

Thus,A8 will be: 1730/35 = 49.43

This is a decimal and thus, it means C ≠ 1.

Now,if C = 2, it means the C730 is now 2730.

Thus,A8 will be: 2730/35 = 78

This is a whole number and thus, it means C = 2

Now,if C = 3, it means the C730 is now 3730.

Thus,A8 will be: 3730/35 = 106.57

This is a decimal and thus, it means C ≠ 3

Thus; A8 is 78 when C = 2

So, A = 7


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Answer:

Step-by-step explanation:

Select all of the object sets that could be modelled by perpendicular lines.

A perpendicular line is one that divides a 180 degrees line (or a straight line) into two; creating 90 degrees on one hand and 90 degrees on the other.

OPTIONS:

(A) APPLICABLE

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(B) APPLICABLE

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(C) NOT APPLICABLE

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Answers

Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answers

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Answers

Mx=4x+15
7=4x+15
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-8=4x
Divide each sides by 4
X=-2

What is 2+2-2X2 divided by 2??

Answers

Answer:

0

Step-by-step explanation:

cause 2+2 is 4 and 2x2 is four and since u put - it take it away a then divide 0 by 2 u get 0

Sam deposits $1,000 in his savings account which will earn 2.5% interest. How much interest will Sam have earned after 2 years? *

Answers

Answer: $50, The account will have $50 in interest after 2 years.

Step-by-step explanation:

2.5% / 100 = 0.025

$1,000 * .025 = 25

25 * 2 = 50

Write an equation, in slope-intercept form,
for a line that passes through points (-4, 1)
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Answers

Answer:

y = (3/2)x + 7

Step-by-step explanation:

(−4, 1) and (−2, 4)

 

slope m = rise/run = (4-1)/(-2-(-4)) = 3/2

 

Slope intercept form is y=mx+b

where m=slope, b = y-inercept

 

y = (3/2)x + b

 

Use one of the given points for (x,y) to find b

 

1 = (3/2)(-4) + b

1 = -6 + b

7 = b

 

y = (3/2)x + 7

57
(c)
=

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Answers

Answer:

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Answers

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Answer:

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Step-by-step explanation:

15 divided by 24 which equals 0.625

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y=

Answers

Answer:

y=|x+3|+4

Step-by-step explanation:

3 units left is + 3

4 units up is + 4

The graph of function y = |x+3|+4 is translated as 3 units to the left and 4 units upward.

What is a graph?

A graph can be defined as a pictorial representation or a diagram that represents data or values.

Vertical shifting of a graph is done by adding any arbitrary constant to the function in shifting.

For example, If shift up by 1 unit,  add 1 to the function

If shift down by 4 units, subtract 4 from the function

To determine the function whose graph is the graph of y=|x| ​,

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⇒ f(x) = ( x + 3, y - 4 )

⇒ y - 4 = |x+3|

⇒ y = |x+3| + 4

Therefore, the graph of function y = |x+3|+4 is translated as 3 units to the left and 4 units upward.

Learn more about the graphs here:

brainly.com/question/16608196

#SPJ2

Read the problem in the box below. Make a list to help you find the correct
answer
Eudora's grandfather has decided to move to a
desert island. In his new place, he will only have
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Answers

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Answers

Answer:

3

Step-by-step explanation:

= 2/3 x 9/2

= 9/3

= 3

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Answers

Answer:

Step-by-step explanation:

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Answer:

Any number divided by itself is 1. In the expression-1 times -10 over -1 times -60 ,the -1s in the numerator and the denominator cancel each other out to give the result , or 6.

Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

3p + 2p - p

= 3p + p

= 4p

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Answer:

I couldn't fit it all in one photo but here you go!

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

It takes 10 pounds of potatoes to make 15 pounds of mashed potatoes. At this rate:


How many pounds of mashed potatoes can they make with 15 pounds of potatoes?

Answers

Answer:

22.5 pounds of mashed potatoes are made from 15 pounds of potatoes.

Step-by-step explanation:

According to the statement, we notice that the amount of pounds of potatoes ([tex]x[/tex]) is directly proportional to the amount of mashed potatoes ([tex]y[/tex]). That is:

[tex]y\propto x[/tex]

[tex]y = k\cdot x[/tex] (Eq. 1)

Where [tex]k[/tex] is the proportionality constant, dimensionless.

Then we eliminate such constant by building this relationship:

[tex]\frac{y_{2}}{y_{1}} = \frac{x_{2}}{x_{1}}[/tex]

[tex]y_{2} = \left(\frac{x_{2}}{x_{1}} \right)\cdot y_{1}[/tex] (Eq. 2)

If we know that [tex]x_{1} = 10[/tex], [tex]x_{2}=15[/tex], [tex]y_{1} = 15[/tex], then the amount of pounds of mashed potatoes is:

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[tex]y_{2} = 22.5[/tex]

22.5 pounds of mashed potatoes are made from 15 pounds of potatoes.

Why do we use coordinate planes to do
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Answers

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Step-by-step explanation:

Find f’(2) for f(x)=5e^-xln(x^2+5x)

Answers

9514 1404 393

Answer:

  f'(2) ≈ −1.3508

Step-by-step explanation:

The derivative of the function is ...

  f'(x) = 5(-e^-x·ln(x^2 +5x) +e^-x·(2x +5)/(x^2 +5x))

Then ...

  f'(2) = 5e^(-2)(-ln(14) +9/14) ≈ -1.3508

Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 135 millimeters, and a variance of 64. If a random sample of 32 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by more than 3.6 millimeters? Round your answer to four decimal places.

Answers

Answer:

0.3264

Step-by-step explanation:

The formula for calculating a z-score is is z = (x-μ)/σ, where

x is the raw score,

μ is the population mean,

σ is the population standard deviation.

(x-μ) = 3.6 mm

σ = √variance = √64 = 8mm

z = 3.6/8

z = 0.45

Using the Probability table

P(x<Z) = 0.67364

P(x>Z) = 1 - P(x<Z)

1 - 0.67364

= 0.32636

Approximately = 0.3264

Can someone help me plz

Answers

Answer:

1. Vertex-M sides- LM MN

2. Vertex-D sides- ED CD

3. Vertex-R sides- SR RQ

4. Vertex-T sides- ST TU

5. angle 3 angle D angle CDE

6. angle 4 angle F angle GFE

7. angle 1 angle F angle GFE

8. angle 3 angle I angle HIJ

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