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Question 2
Select the sentence(s) that represent(s)
the equation.
7(p +23) = 102
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A) Seven times the sum
of p and twenty-three
is the same as one
hundred two.
B) Seven times p plus
twenty-three equals
one hundred two.
C) Seven times the quan-
tity p plus twenty-three
equals one hundred
two.
D) The quantity seven
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Answer: x=1, AC=23

Step-by-step explanation:

ABC=AB+AC+BC

53=5x+18+5x+18+7

53=10x+36+7

53=10x+43

10x=10

x=1

AC=5x+18

AC=5(1)+18

AC=23

-16m - 72k + 104  is the simplified expression .

What does a math expression mean?

the simplified expression of -8(2m + 9k-13)

 = -8(2m + 9k-13)

 = -16m - 72k + 104

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(35x) + (-56) this is an equivalent equation.

Answer:

7x(-4x+5)

Multiplying: -56+35x

Step-by-step explanation:

[tex]\mathrm{Factor\:assuming\:x\ge-\\\infty}\\\:a^{b+c}=a^ba^c\\x^2 = xx\\-28xx+35x\\-7 \times 4xx + 7 \times 5x\\=7x\left(-4x+5\right)[/tex]

The only reason I had to assume x was any negative number was so that the absolute value did not matter in this instance, therefore making x become a negative number.

The other result, however, came from this:

[tex]-28\cdot \:2=-56\\=-56+35x[/tex]

Inform me of any concerns. Hope this helps.

(1/2)²-6(2-2/3)

(1/2)²-6(2-2/3)

LCM=6

1/2²-6(2/1-2/3)

12-4

______

6

1/2²-6(8/6)

1-(48/36)

1-(4/3)

= -4/3

Answer:

5.462 is the answer because if 1.088 ounces is pineapple juice then 6.55-1.088 is the rest.

Step-by-step explanation:

Answer:

I believe the answer would be 384

Step-by-step explanation:

4×-8 (5× -3+3)

-32 × -12

384

BOOM!!! Your Welcome

Answer:

(2/7)

Step-by-step explanation:

As far as I know, an absolute value number is never negative. So you would do |-26/91| which would give you the positive fraction of (2/7). I don't think the fraction could get any simpler than that.

Answer:

x = 10

Step-by-step explanation:

the angle is equally bisected from the middle so

3x - 3 = 4x - 13

13 - 3 = 4x - 3x

x = 10

<FGH = 3(10) - 3 = 27

< HGI = 4(10) - 13 = 27

<FGI = <FGH + <HGI = 27 + 27 = 54

Answer:16

Step-by-step explanation:

2x3+10

Answer:

The answer is 60

Step-by-step explanation:

10+2= 20

20x3=60

The digits that make the given statement true are 3 or 7.

So, 5,156,9_6 to be divisible by 4:

Therefore, the digit that makes the given statement true is 3 or 7.

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The correct question is given below:
Type a digit that makes this statement true.

5,156,9_6 is divisible by 4.

Answer: Slope: 3

Step-by-step explanation:

Slope formula: m=(y2-y1)/(x2-x1)

m=(4-(-2))/(3-1)

m=(4+2)/2

m=6/2

m=3

Answer:

C. 20

Step-by-step explanation:

Use the Pythagorean theorem which is [tex]a^{2} +b^{2} =c^{2}[/tex].

[tex]a^{2}[/tex] and [tex]b^{2}[/tex] are the sides of the triangle squared, AB and AC. [tex]c^{2}[/tex] is the hypotenuse (the slanted side of the triangle) or BC.

So, [tex]12^{2} + 16^{2} =400^{2}[/tex]. Then you square root 400 to get your answer.

[tex]\sqrt{400}[/tex] = 20.

20 is your answer.

Step-by-step explanation:

what??? I don't understand what are you saying?????? please speak english :(

i wish you could help you but i don't know what you're saying

The statement is sometimes true.

Points that are located along a single or shared straight line are referred to as collinear points. If two or more points on a line are situated either close to or far from one another, they are said to be collinear in Euclidean geometry.

Three points are automatically coplanar if they are collinear.

What was just said is sometimes true.

This is because three points along a line are typically recognized to be collinear, however it is not always the case.

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Answer:

399

Step-by-step explanation:

Factor the polynomial, and that will give you 399.

Using factor (156 + 243), can be rewritten as  3.(52+81).

Factor is a number  that devides any other number and does not leave any remainder.

The given term is,

(156 + 243)

The factor of 156 = 2×2×3×13

The factor of 243 = 3×3×3×3×3

The common factor is 3,

So (156 + 243) can be rewritten as,

3(2×2×13+3×3×3×3)= 3.(52+81).

So, the required term is 3.(52+81).

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The measure of <ABD, <DBC and <ABC are 67, 67 and 134 degrees respectively.

Angles are bisected if they are divided into two equal parts.

If the angle BC bisects <ABC, hence <ABD and <DBC are equal, hence;

2(11x + 23) = <ABC

Given the following parameters

<ABC = 25x + 34

2(11x + 23) = 25x + 34

Expand

22x +46 = 25x + 34

22x-25x = 34 - 46

-3x = -12

x = 4

Determine the measure of the angles

<ABD = 11x + 23 = <DBC
<ABD = 11(4) + 23

<ABD = 44 + 23

<ABD = 67 degrees

<ABC = 2(67)

<ABC = 134 degrees

Hence the measure of <ABD, <DBC and <ABC are 67, 67 and 134 degrees respectively.

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Answer:

3 hours

Step-by-step explanation:

you take the amount that was earned and divide it by the amount he works.

[tex]\frac{146.00}{10} = 14.6 per hour.[/tex]

then to find the number of hours he would have to work next week to earn $43.80 you divide the amount per hour by the amount he would have to work next week.

[tex]\frac{43.80}{14.6} = 3 hours[/tex]

13.41% is the cash coverage ratio.

To find the cash coverage ratio:

The cash coverage ratio is calculated as follows:

But first, the EBIDTA Is:

The Cash Coverage Ratio is now:

Therefore, 13.41% is the cash coverage ratio.

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The length of the building in the scale drawing is 31. 25 Inches

From the information given, we have that;

Then,

If 0. 25 inches = 2 feet

Then x inches = 250 feet

cross multiply
x × 2 = 0. 25 × 2500

Multiply through, we have;

2x = 62. 5

Make 'x' the subject by dividing both sides by 2

2x/2 = 62. 5/ 2

x = 31. 25 Inches

Thus, the length of the building in the scale drawing is 31. 25 Inches

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Answer:

Step-by-step explanation:

31.25

The required probability that a patient had surgery and experienced a major improvement 31% and that a patient received nonsurgical treatment 14.5%.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,
Number of patients who got surgery  = 398,
63% of  percent said they had a major improvement in their condition,
= 0.63 * 398 ≈ 250
29% among those who received nonsurgical treatment,
= 0.29 * (803 - 398)
= 0.29 * 405
≈ 117

Now,
The probability that a patient had surgery and experienced a major improvement in his or her condition.
= 250 / 803
= 31%

The probability that a patient received nonsurgical treatment and experienced an improvement in his or her condition.
= 117 / 803
= 14.5%

Thus, the required probability is 31% and 14.5%.

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Answer:

Step-by-step explanation:

could you explain better?

The discriminant is:

D = 5^2 - 4*3*(-8) = 121

Then we have two real solutions.

For a quadratic equation:

a*x^2 + b*x + c = 0

The discriminant is:

D = b^2 - 4ac

If D > 0, we have two real solutions.

If D = 0 we have one real solution (it is thought as two equal solutions)

if D < 0, we have two complex solutions.

In this case, the quadratic equation is:

3x^2 + 5x - 8 = 0

Then:

a = 3

b = 5

c = -8

The discriminant is:

D = 5^2 - 4*3*(-8) = 121

Then we have two real solutions.

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Answer:

y= 6/5 x -5

Step-by-step explanation:

You have 2 points. (0,-5) and (5,1)

If you use the formula Y2-Y1 / X2-X1,

you will have 1 - (-5) on the numerator, which equals 6

you will have 5 - 0 in the denominator, which equals 5

6/5 is your slope, and the point on the y-intercept is what you put at the end of the equation.

Answer:

2.667

Step-by-step explanation:

the thousandths place is the third place after the decimal point, going

0.123

1 is the tenths

2 is the hundredths

3 is the thousands

all you have to do is divide 4 by 15 to get 2.66666667

rounded to the thousands the answer is about 2.667

Joe is going to [tex]12[/tex] minutes and [tex]18[/tex] seconds to ascend to the Sears tower's roof from street level.

Speed indicates how quickly something or someone is moving. Speed is calculated as follows: speed = distance * time. Following are the relationships between time, distance, and speed: Distance is directly related to speed and time. Time and speed are also negatively related. Speed is what it means. the speed at which an object's location changes in any direction. The distance traveled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity. Distance is the sum of an object's movements, regardless of direction. The flow of events from the past into the future is known as time. Time only ever moves in one way. Time can go either forward or backward, but not both.

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The simple interest for R 7,500 is R 1, 800, and she will get it at 3 years with interest of 8%.

Simple interest:

Simple interest means the method of calculating the interest amount for a particular principal amount of money at some rate of interest.

The formula used to calculate the simple interest is

SI = P × R × T

P = The principal is the amount that initially borrowed from the bank or invested.

R = Rate is the rate of interest at which the principal amount is given to someone for a certain time.

T= Time is the duration for which the principal amount is given to someone.

Given,

Cynthia receives a gift of r 7, 500 she decides to invest it for 3 years, she is offered two saving at 8% interest.

Here we need to find the simple interest.

We know that,

P = 7, 500

R = 8/100 = 0.08

T = 3

So, the simple interest is,

SI = 7,500 x 0.08 x 3

SI = 1800

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Step-by-step explanation:

2x + 3 = -5

2x = -8

x = -4

3x - 6 ≥ -3

3x ≥ 3

x ≥ 1

|2x + 5| ≤ - 7

NO SOLUTION

Why?

since the absolute value is always positive, there is no way that it would be less than or equal to -7