Angles J X M, M X N, and N X P form a straight line. Angle M X N is a right angle.
Which statement is true about ∠JXM and ∠NXP?

Answer:

In which step did Sierra make a mistake? Step 2.

What should she have done instead? add the x and the 5x

Step-by-step explanation:

she had the expression:

[tex]x + 8 + 5(x - 4)[/tex]

and then she multiplied the 5 by the parentheses (step 1):

[tex]x + 8 + 5x - 20[/tex]

no mistakes so far

then she has: [tex]5x + 8 - 20[/tex]  (step 2) Here is the mistake, she forgot about the 'x' that she has at the beginning of the expression.

What you should have done is add the x and the 5x, so she must a 6x in the following step (correcting the mistake):

[tex]6x+8-20[/tex]

which gives us:

[tex]6x-12[/tex]

Solution:

Given that, A rectangle has:

[tex]height = 5y^3 \\\\width = 3y^3 - 8y^2 + 2y[/tex]

Express the area of the entire rectangle

[tex]\text{Area of rectangle } = 5y^3 \times (3y^3 - 8y^2 + 2y)[/tex]

[tex]Area = 5y^3\times \:3y^3+5y^3\left(-8y^2\right)+5y^3\times \:2y\\\\Area = 15y^6 -40y^5 + 10y^4 \\\\[/tex]

Standard form means that the terms are ordered from greatest exponent to lowest exponent

Thus area of entire rectangle in standard form is: [tex]15y^6 -40y^5 + 10y^4[/tex]

Area formula: a = l * w

a = 8 * 4.5

a = 36

Perimeter formula: p = 2l * 2w

p = 2(8) + 2(4.5)

p = 16 + 9

p = 25

Best of Luck!

Answer:

1ml : 1m

Step-by-step explanation:

The scale factor of the drawing is the ratio of 1 milliliter and 1 meter; that is, 1ml : 1m.

Answer:-16 Hope that helps

Step-by-step explanation:

Answer:

150

Step-by-step explanation:

the bases are 60 and the sides are 90

Answer:

los dos son lo mismo solo que se multiplican por dos espero me entiendas

Step-by-step explanation:

Answer: They equal the same thing

Step-by-step explanation: Notice that the fractions that we're comparing in this problem have different denominators. When fractions have different denominators they're called unlike fractions.

To compare unlike fractions, we must first get a common denominator.

The common denominator of 8 and 16 will be the least common multiple of 8 and 16 or 16. To get a 16 in the denominator of 2/8, we multiply the numerator and the denominator by 2 which gives us 4/16.

Now notice that 4/16 is equal to 4/16 since we changed 2/8.

Since 4/8 equals 4/8, these fractions are the same

Answer:

Third Answer or 62 degrees.

The measure of angle p can be found by subtracting the measures of angles q and r from 180 degrees.

The measure of angle p can be determined by subtracting the measures of angles q and r from 180 degrees. Let's say angle q measures 50 degrees and angle r measures 70 degrees. By subtracting these values from 180, we can find that the measure of angle p is 60 degrees.

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Answer:

[tex]90^o[/tex]

Step-by-step explanation:

Step 1:  Multiply

[tex]0.25 * 360^o[/tex]

[tex]90^o[/tex]

Answer:  [tex]90^o[/tex]

Answer:

it is 0

Step-by-step explanation:

Answer:

Not on there but it is 76in2

Step-by-step explanation:

Starting with the trapezoid. We know that a trapezoid can be split into 2 triangles and 1 rectangle. So the area of the trapezoid will be 4+32+4 which is 40 now that we know the trapezoid's area we can find the rectangle's area. The rectangle's area will be 12x3 which is 36. So, you would add both:40+36= 76in2.

I would say it’s B! I know it isn’t A because we can say no to A since it’s such a small number and (-4,-2) to (4,6) isn’t 24 nor bigger then 100 so the only possible answer is B

I hope this helps and makes sense!

Answer:

Isn't this an AoPS Problem?

Step-by-step explanation:

Answer:

It needs to decrease by 4°

Step-by-step explanation:

-1-4=-5

mark my brainliest? :)

Final answer:

The temperature needs to change by 4°F to reach the preferred reading at -5°F.

Explanation:

The current temperature of the restaurant's freezer is -1°F. To achieve the preferred temperature of -5°F, we need to calculate the difference between the two temperatures The temperature needs to change to reach the preferred reading is 5°. Thus,

Answer:

1) [tex]\bar x = 6.2[/tex], 2) [tex]\bar x = 8.75[/tex], 3) [tex]\bar x = 4.5[/tex], 4) [tex]p = 40\,\%[/tex], 5) [tex]p = 60\,\%[/tex], 6) [tex]p = 10\,\%[/tex]

Step-by-step explanation:

1) Mean length of all fish in the sample:

[tex]\bar x = \frac{12+5+3+5+8+2+10+9+4+4}{10}[/tex]

[tex]\bar x = 6.2[/tex]

2) Mean length of adult fish in the sample:

[tex]\bar x = \frac{12+5+8+10}{4}[/tex]

[tex]\bar x = 8.75[/tex]

3) Mean length of juvenile fish in the sample:

[tex]\bar x = \frac{5+3+2+9+4+4}{6}[/tex]

[tex]\bar x = 4.5[/tex]

4) Percentage of sample that were adult fish:

[tex]p = \frac{4}{10}\times 100\,\%[/tex]

[tex]p = 40\,\%[/tex]

5) Percentage of sample that were juvenile fish:

[tex]p = 100\,\% - 40\,\%[/tex]

[tex]p = 60\,\%[/tex]

6) Percentage of sample that were juveniles over 8 inches long:

[tex]p = \frac{1}{10}\times 100\,\%[/tex]

[tex]p = 10\,\%[/tex]

Final answer:

To determine the number of solutions for the system of equations 2x+8y=16 and -3x+6y=30, the elimination method can be used. After multiplying and combining the equations, it is found that the system has a unique solution at (-4, 3). This means the two lines intersect at exactly one point.

Explanation:

The student is asking about the number of solutions for the system of equations 2x+8y=16 and -3x+6y=30. To find out how many solutions the system has, we can use either substitution, elimination, or graphing methods. Substitution involves solving one equation for one variable and then substituting that into the other equation. Elimination involves adding or subtracting equations to cancel out one of the variables, which can be followed by solving for the remaining variable. Graphing would involve plotting both equations and observing their intersection points.

For this specific problem:

Equation 1: 2x+8y=16

Equation 2: -3x+6y=30

If we try to use the elimination method, multiplying Equation 1 by 3 and Equation 2 by 2 would allow us to cancel out the x's:

Multiplying Equation 1 by 3: 6x+24y=48

Multiplying Equation 2 by 2: -6x+12y=60

Adding these equations together gives us:

36y=108, which simplifies to y=3. Substituting y=3 into Equation 1, we can solve for x:

2x+8(3)=16

2x+24=16

2x=-8

x=-4

Thus, the system has a unique solution (x, y)=(-4, 3), indicating that the two lines intersect at exactly one point.

Answer:

square root of 113 or 10.63014581

Step-by-step explanation:

Answer:

[tex]\sqrt{113}[/tex]

Step-by-step explanation:

Using pythag theorem:

Length of the hypotenuse is [tex]\sqrt{7^{2}+8^2 }[/tex]

Thus [tex]\sqrt{113}[/tex]

That would be [tex]\pi(32/2)^2\approx804.25\mathrm{ft^2}[/tex].

Hope this helps.

Answer:

1055 lbs.

Step-by-step explanation:

Since 1 ton is 2000 pounds, half a ton is 1000 pounds. The wheelbarrow weights 55 pounds in itself, so the total weight will be 1000 + 55 = 1055 lbs.

Answer:

D

Step-by-step explanation:

both A and B are false, because no value would allow Sari to pay Raymond and then still have 30 dollars so it has to be C or D

42 - 24 = 18                18 times 3 is 54, so this appears to work

30 + 24 = 54

42 - 18 = 24       24 times 3 is not 48, so C is incorrect

30 + 18 = 48

Answer:f(x) approaches negative infinity

Step-by-step explanation:

N/A

Answer:

the 1st one is a (f(x) approaches negative infinity)

the 2nd one is c (f(x) approaches infinity)

Step-by-step explanation:

Answer:

r = 24

Step-by-step explanation:

The formula for circumference is

C = 2*pi*r

48 pi = 2 * pi *r

Divide each side by  2pi

48 pi / 2pi = 2 * pi *r/ 2pi

24 = r

Answer:

Step-by-step explanation:

5×-9=-45

-9+5=-4

5x²-4x-9=0

5x²-9x+5x-9=0

x(5x-9)+1(5x-9)=0

(5x-9)(x+1)=0

x=-1,9/5

Her average weekly income in August was $200.

Step-by-step explanation:

To find the income in july :

Given that,

Let,

'x' be the 100% of income she got in July.

Therefore, the income $207 in September is 115% of x.

⇒ 115% of x = 207

⇒ 1.15 × x = 207

⇒ x = 207 / 1.15

⇒ x = 180

∴ Her average weekly income in July was $180.

To find the income in August :

Given that,

Let,

'y' be the 100% of income she got in August.

Therefore, the income $180 in July is 90% of y.

⇒ 90% of y = 180

⇒ 0.9 × y = 180

⇒ y = 180/0.9

⇒ y = 200

∴ Her average weekly income in August was $200.

her average weekly income in August was $200 .

Step-by-step explanation:

Let in July income was x , So in September :

⇒ [tex]x+\frac{15x}{100}[/tex]

According to question , her average weekly income in September was $207 i.e.

⇒ [tex]x+\frac{15x}{100}=207[/tex]

⇒ [tex]\frac{115x}{100}=207[/tex]

⇒ [tex]x=207(\frac{100}{115})[/tex]

⇒ [tex]x=180[/tex]

Now , average weekly income in July was 10% less than it was in August , let income of august = y,  i.e.

Income in august = [tex]180+\frac{August(10)}{100}[/tex]

⇒ [tex]y=180 + \frac{y(10)}{100}[/tex]

⇒ [tex]\frac{9}{10}y=180[/tex]

⇒ [tex]y=\$200[/tex]

Therefore , her average weekly income in August was $200 .

Answer:

[tex]\frac{12}{70}[/tex]

Step-by-step explanation:

Firstly add up the total number of Deserts.

8 + 9 + 12 + 11 + 16 + 14 = 70

There are a total of 12 ice cream cones

This can be represented as a fraction for your answer [tex]\frac{12}{70}[/tex]

Answer:8

Step-by-step explanation:

Sandra wants to give a party for 60 people. Given that her punch recipe, which yields 2 gallons, serves 15 people, she can use a proportional relationship to determine she will need 8 gallons of punch.

This question can be solved by setting up a proportional relationship. In the given case, we know that the punch recipe produces 2 gallons of punch and serves 15 people. Hence, the ratio is 2 gallons per 15 people or 2/15.

Now, let's use this ratio to calculate how many gallons of punch she will need for 60 people. Form a proportion as follows:

2/15 = x/60

Where 'x' represents the number of gallons needed for 60 people. To find 'x', cross-multiply:

2 * 60 = 15 * x

120 = 15x

Then, divide both sides by 15 to solve for 'x':

x = 120/15

So, 'x' equals 8. That means Sandra needs to make 8 gallons of punch for her party.

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Answer:

Step-by-step explanation:

For example;

Your triangles' angles are: 56, 77, and 47.

56 + 77 + 47 = 180

*You did not give me any values to solve for, but just since you didn't- I'v provided an example to assist you in doing it yourself.  If you want me to solve your full equation please add the angles or 3 dimensions of the triangle.

Answer:

a

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

English:

Which digit should go in the box to

make the next number divisible

between 2, 3 and 9? 8 ,? 48

Let x be the number, then the number will look like this:

8x48

This number is already divisible by 2, because it ends with an even number.

Now we need to check for divsibility by 3.

For this to be divisible by 3, the sum of the digit should be a multiple of 3.

[tex]8 + x + 4 + 8 = x +20[/tex]

We know if a number is divsible by 9, it is also divsible by 3.

So

[tex]x + 20=9,18,27,....[/tex]

The least positive solution is

[tex]x + 20 = 27[/tex]

[tex]x = 27 - 20[/tex]

[tex]x = 7[/tex]

Therefore 8748 is divsible by 2,3, and 9.