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Answer:

principal=32000

Step-by-step explanation:

I=p×r×t/100

6400=p×4×5/100

640000=p×20

p=32000

Answer:

A. You would trace an argument by seeing if the reasons and evidence are relevant in their support of the claim.

Step-by-step explanation:

The tracing of an argument should be seen when the reasons & evidence should be relevant for supporting the claim.

The following information should not be considered:

Therefore we can conclude that the first option is correct.

Learn more: brainly.com/question/17429689

Answer:

40 slices

Step-by-step explanation:

Each slice = 1/8 pizza

Pizza = 8 slices

5 pizza = 5 x 8 slices

5 pizza = 40 slices

The total number of slices in 5 pizzas if each slice is 1/8 of a pizza is 40 slices

Total slices of pizza = Total pizza bought ÷ Each slice

= 5 ÷ 1/8

= 5 × 8/1

= 40 slices

Therefore, the total number of slices in 5 pizzas if each slice is 1/8 of a pizza is 40 slices

Learn more about equation:

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Answer:

y=-1/8x +4

Step-by-step explanation:

1. First, write the equation in point-slope form: y-y1=m(x-x1)

y-1=-1/8(x-24)

2. Distribute -1/8 to x and -24

-1/8 times x = -1/8x

-1/8 times -24 = 3

y-1=-1/8x+3

3. Add 1 to both sides

y=-1/8x +4

The area of the rhombus will be 96 square units. Then the correct option is B.

The missing diagram is attached below.

Let a be the length and h be the height of the rhombus.

Then the area will be

Area = a × h square units

If x = 12 units, y = 4 units, and h = 8 units.

Then the area of the rhombus will be

A = 12 × 8

A = 96 square units.

Then the correct option is B.

More about the area of the rhombus link is given below.

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Answer:

96

Step-by-step explanation:

7−(2−5(4−7)+6)+7

=7−(2−(5)(−3)+6)+7

=7−(2−(−15)+6)+7

=7−(17+6)+7

=7−23+7

=−16+7

=−9

Thus, the answer is -9

Answer:

it b

Step-by-step explanation:

Answer:

330cm^3

Step-by-step explanation:

22 only has 2 factors 11&2. So take 11•2•15=330 Doing it as 22•1•15 works as well.

Answer:

a) 7:11 b) 7:4 hope this helps

Answer:

884

Step-by-step explanation:

We know the ratio of A to B is 5:8

let x = the multiplier

then

5x = amt of compound A

and

8x = amt of compound B

:

5x + 8x = 884

13x = 884

x = 884/13

x = 68 is the multiplier

therefore

5(68) = 340 millilters of compound A needed

:

:

Confirm our answer. Find the amt of B

8(68) = 544 ml of B

340 + 544 = 884

Answer:

He will be able to make 16 pieces of lumber

Step-by-step explanation:

Answer:

1 3/20

Step-by-step explanation:

1. Make them all into fractions:

-8/4 -1/4 -(-15/5 -2/5)

2. Add like-terms:

-9/4 -(-17/5)

3. A negative times a negative makes a positive:

-9/4 +17/5

4. Identify the least common denominator (LCD):

20

5. Apply:

-9x5/4x5 +17x4x/5x4

6. Solve:

-45/20 +68/20

7. Result:

23/20, simplified 1 3/20

Answer:

Yes; AAS Congruence Theorem

Proof:

In [tex]\triangle ABC[/tex] and [tex]\triangle QRS[/tex]:

[tex]\angle BAC = \angle RQS[/tex] (given)

[tex]\angle ABC = \angle QRS[/tex] (given)

[tex]AC =QS[/tex] (given)

∴ [tex]\triangle ABC \cong \triangle QRS[/tex] (AAS)

There is enough information to prove that the two triangles are congruent through the AAS congruence theorem.

Hope this helps :)

Answer: 5/2

Step-by-step explanation: slope is the change in y over the change in x (y2-y1/x2-x1)

Answer:

D. 308

Hope This Helps!

Answer: your answer is D-please look below for an explanation!

Step-by-step explanation: here are the steps to find it using long division:

step 1: write out your problem-

step 2: see how many times go into 2156

step 3: write your answer out then choose

your answer is option D(308)

hope this helped! please give me a thx and brainliest!

Answer:

[tex]Actual\ Length = 2.54\ cm[/tex]

[tex]Actual\ Width = 1.27\ cm[/tex]

[tex]Scale\ Length = 0.6\ cm[/tex] --- Beetle's antennae

Step-by-step explanation:

Given

The following scale measurements

[tex]Length = 7.62cm[/tex]

[tex]Width = 3.81cm[/tex]

[tex]Scale\ Factor = 3[/tex]

Solving (a): The actual length.

We simply divide the scale length by the scale factor.

[tex]Actual\ Length = \frac{Scale\ Length}{Scale\ Factor}[/tex]

[tex]Actual\ Length = \frac{7.62cm}{3}[/tex]

[tex]Actual\ Length = 2.54\ cm[/tex]

Solving (b): The actual width.

We simply divide the scale width by the scale factor.

[tex]Actual\ Width = \frac{Scale\ Width}{Scale\ Factor}[/tex]

[tex]Actual\ Width = \frac{3.81\ cm}{3}[/tex]

[tex]Actual\ Width = 1.27\ cm[/tex]

Solving (c):

Given: Actual Length of the beetle's antennae is 0.2 cm.

Required: Determine the scale measurement.

This is solved using:

[tex]Actual\ Length = \frac{Scale\ Length}{Scale\ Factor}[/tex]

[tex]0.2\ cm = \frac{Scale\ Length}{3}[/tex]

[tex]Scale\ Length = 0.2cm * 3[/tex]

[tex]Scale\ Length = 0.6\ cm[/tex]

Answer:

D

Step-by-step explanation:

4.25 × the amount of cheese you buy (x) equals the total cost (y)

Answer:

D. y = 4.25x

Step-by-step explanation:

You multiple the price per pound by the number of pounds. Can I have brainliest? Thanks!

Answer:

Positive 5.

Step-by-step explanation:

Opposite of negative 5 is positive 5.

The point will be on the positive side, which is above sea level. So it will be on 5 above the zero.

Answer:positive 5

Step-by-step explanation:

Answer:

70° and 110°

Step-by-step explanation:

Supplementary angles sum to 180°

sum the parts of the ratio, 7 + 11 = 18 parts

Divide 180° by 18 to find the value of one part of the ratio.

180° ÷ 18 = 10° ← value of 1 part, thus

7 parts = 7 × 10° = 70°

11 parts = 11 × 10° = 110°

The 2 angles are 70° and 110°

Answer: x = 3. the length of side ST is 14.

Step-by-step explanation:

Since both sides are equal, we can use the equation 3x + 5 = 5x - 1.

To start the problem, we subtract 3x from each side which makes our equation 5 = 2x - 1.

The next step would be to simplify the equation by adding 1 to each side which makes our equation 6 = 2x.

We then need to simplify the equation to x = 3.

This means the answer to 9 is x = 3.

For the next problem, since we already know the value of x, we substitute its value which in this case would be 3. This leaves us with an equation of 9 + 5, which equals 14.

This means the length of side ST is 14.

Step-by-step explanation:

81 - 1.2x < 55

81 < 55 + 1.2x (add 1.2x to both sides)

1.2x > 26 (subtract 55 from both sides)

x > 21 2/3.

Answer:

4%

Step-by-step explanation:

8/200 = 0.04

Answer:

Step-by-step explanation:

3x+6=9

3x=9-6

3x=2

x=1.5

Answer:

x=1

Step-by-step explanation:

Subtract 6 from both sides of the equation, leaving 3x=3.

We put both sides over 3 to divide.

We are left with x=3

To test this, we substitute x with 1.

3(1)+6=9

3+6=9

9=9

Answer:

3 times 2 equal 5

Step-by-step explanation:

did the test and made 100

Answer:

No, it is not fair

Step-by-step explanation:

Here, we want to check if this is a fair game

To win a sum, a duck with a green star on the underside must be selected

The number of ducks with this is 4 out of 75

The probability of selecting one is 4/75

The expected value of selecting is ;

4/75 * 10 = 0.5333

The cost of selecting a duck is $1

The probability that a duck that wins will not be selected is 71/75 which at a price of $1 is 0.9467

Since the price to lose and the amount to win is not the same, then the game is not fair