Drag a statement or reason to each box to complete this proof. If −3(x+8)=−21, then x=−1.

Answer:

1.)  3(3) + 5 = 9 + 5 = 14

2.)  4(4) - 7 = 16 - 7 = 9

3.)  6(3) - 1 = 18 - 1 = 17

4.)  (4)(4) - (3) = 16 - 3 = 13

Answer:

1. The cost of 7 gallons of milk is $15.75

2. 5 cups served and 40 ounces drank

Step-by-step explanation:

Answer:

$15.75

Step-by-step explanation:

Let the cost of 7 gallons of milk be x

Since

3 gallons of milk = $6.75

7 gallons of milk = x

Cross multiply

7 x 6.75 = 3 x X

47.25 = 3x

Divide both sides by 3

47.25/3 = 3x/3

15.75 = x

x = $15.75

7 gallons of milk cost $15.75

Answer:

Starting from the definitions of each concept, we have to:

Divider = number you are dividing

Quotient = result of division

Therefore, for them to be the same number is half of the sum they tell us, which means that 8/2 = 4, then the quotient is 4 and the divisor is 4 too, and the dividend 4 * 4 = 16

The division would be:

16/4 = 4

Thus fulfilling the premise of the problem.

Answer:

29.67

Step-by-step explanation:

[tex]89 \div 3 \\ \implies 29.6666666 \\ \implies \boxed{ \bf 29.67}[/tex]

_______________________

Thanks for the question!

When rounded to two decimal places, 89 divided by 3 is approximately 29.67.

To calculate 89 divided by 3 in decimal form, we perform the division operation:

89 ÷ 3 ≈ 29.666666...

The division result is a repeating decimal with the digit 6 repeating infinitely. However, since you asked for the answer in decimal form, rounded to a certain number of decimal places, we can round the result to a reasonable precision.

Let's round it to two decimal places:

89 ÷ 3 ≈ 29.67

So, when rounded to two decimal places, 89 divided by 3 is approximately 29.67.

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Answer:

Step-by-step explanation:

3(x-2)= -3

Divide both sides by 3

x-2 = -1

add 2 to both sides

x - 2 +2 = -1 + 2

x = 1

Answer: x = 1

Step-by-step explanation:

3(x-2) = -3

3x -6 = -3

    +6   +6

3x = 3

----------

3      3

x = 1

Answer:

The value of a is -2

Step-by-step explanation:

We are asked to give the value of a

We are provided with some information

We are given slope to be 4

And two points ( -1 ,-1) and

( a, -5)

Given the formula for slope

m = y_2 - y_1 / x_2 - x_1

Points ( -1 , -1)

(a, -5)

x_1 = -1

y_1 = -1

x_2 = a

y_2 = -5

Inserting the values given into

m = y_2 - y_1 / x_2 - x_1

= -5 - (-1) / a - (-1)

= -5 + 1 / a + 1

= -4 / a + 1

We are given the slope to be 4

i. e. m = 4

4 = -4 / a + 1

Cross multiply

4( a + 1) = -4

Open the bracket with 4

4a + 4 = -4

Collect like terms

4a = -4 - 4

4a = - 8

Divide both sides by 4 to get the value of a

4a / 4 = -8/4

a = -2

Therefore, x_2 = -2

the value of a = -2

Solution:

Given that,

A value of 500 increases by 12%

To find: equation could be used to find the new value

Therefore,

Initial value = 500

Increase rate = 12 %

Let "y" be the new value

Thus the equation is:

new value = Initial value + 12 % of Initial value

[tex]y = 500 + 12 \% \text{ of } 500\\\\y = 500 + 12 \% \times 500\\\\y = 500(1 + 12 \%)\\\\y = 500(1 + \frac{12}{100})\\\\y = 500( 1 + 0.12)\\\\y = 500(1.12)[/tex]

Thus the equation is found. Option B is correct

Solve it

[tex]y = 500 \times 1.12\\\\y = 560[/tex]

Thus the new value is 560

Answer:

Hat he said

Step-by-step explanation:

Answer:

It's 63.75 since I looked it up.

Answer:

Whats 's' mean?

Step-by-step explanation:

Answer: 6

Step-by-step explanation:

9s=54

divdie 9 by 54 to get the s alone. 54/9 is 6. t

Answer:

g = 6

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to 2

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (10, g) and (x₂, y₂ ) = (9, 4)

m = [tex]\frac{4-g}{9-10}[/tex] = [tex]\frac{4-g}{-1}[/tex] = 2 ( multiply both sides by - 1 )

4 - g = - 2 ( subtract 4 from both sides )

- g = - 6 ( multiply both sides by - 1 )

g = 6

Answer:

y= 4/5x +2/5

Step-by-step explanation:

When finding slope, use the format y-y1/x-x1. Plug in your coordinates to get this: 8-4/2--3. 8-4 equals 4, and 2--3 equals 5. So, your slope would be 4/5. Next, make your equation like this: y=4/5x+b. Next, plug in one of your ordered pairs into the equation. It doesn't matter which one you use. I'm going to use the second pair, so it would look like this: 8=4/5(2)+b. Multiply 4/5 by 2 to get 8/5. This is what you should have: 2=8/5+b. Subtract 8/5 from both sides to get your y-intercept of 2/5. Go back to your original equation and plug in 2/5 to b. This is your final equation: y= 4/5x +2/5. Hope this helped!

Answer:

2.48 / 10 = 0.248

About $0.25 for each slice of cheese.

Answer:

.248 or .25

Step-by-step explanation:

Answer:

Actual width = 5 feet.

Step-by-step explanation:

The ratio of 1.2 to 1  equals the ratio of length to width.

1.2 / 1  = 6 / w  where w is the actual width.

1.2w = 6

w = 6/1.2

w = 5.

Answer:

10.06, 10.46, 10.5, 10.64

Step-by-step explanation

Answer:

volume = 150.9m³

Step-by-step explanation:

in order to find  the volume ,in cubic meter ,of a cylinder with a height of 3 meters and a base radius of 4 meters ,to the nearest theths place wee apply the formular for finding the volume of a cylinder which is πr²h

v =  πr²h

given that

height = 3meters

radius = 4meters

volume=?

going by the formulae v= πr²h

v = π × (4)² × 3

v = π × 16 ×3

v= 48πm³

note the value of π = 22/7

v = 48 × 22/7

v = 1056/7

v= 150.87m³

therefore the volume of the cylinder to the nearest tenth place is 150.9m³

i believe the answer is 205

hope this helps

The most reasonable prediction of the number of seventh-grade students in Judith's school who would choose pop music as their favorite genre is 205.

To find the prediction, we first need to determine the total number of seventh-grade students in Judith's school. Since 41 students represent 20% of the total, we can set up a proportion to find the total number of students. Let [tex]\( T \)[/tex] represent the total number of students.

[tex]\[ 20\% \times T = 41 \][/tex]

[tex]\[ 0.20 \times T = 41 \][/tex]

To find [tex]\( T \)[/tex], we divide both sides of the equation by 0.20:

[tex]\[ T = \frac{41}{0.20} \][/tex]

[tex]\[ T = 205 \][/tex]

Now that we have the total number of students, we can predict the number of students who would choose pop music as their favorite genre. Since 41 students represent 20% who chose pop music, the remaining 80% of the students would also be expected to choose pop music if the sample is representative of the entire population. Therefore, we multiply the total number of students by 100% to find the prediction:

[tex]\[ \text{Prediction} = T \times 100\% \][/tex]

[tex]\[ \text{Prediction} = 205 \times 1 \][/tex]

[tex]\[ \text{Prediction} = 205 \][/tex]

Thus, the most reasonable prediction is that 205 seventh-grade students in Judith's school would choose pop music as their favorite genre.

Answer: its = to 6 cuz AB/AC = BC/AE and BC is 6 so give brainless psl

Step-by-step explanation:

ez ezz

The value of x in the right-angle triangle is 2√3.

A triangle is also known as a right-angled triangle if one of its three angles is 90 degrees. A right-angled triangle's three interior angles all add-up to 180 degrees, thus if one angle is always 90 degrees, the other two must also always add up to 90 degrees.

In the given figure,

BC = 6cm

DC = 6/2 = 3cm

By formula of angle on a straight line,

∠EDB = 180° - (90°+60°)

= 180° - 150°

= 30°.

From right-angled triangle ADC,

AD² = 5² -3² (As per Pythagoras theorem)

= 25 - 9

= 16.

So, AD = √16

= 4cm.

From ∠AEC. let AS = x.

w/Sin60° = 4/Sin90°

We know,

Sin90° = 1

Sin60° = √3/2

⇒ x = (4 × Sin60°)/Sin90°

⇒ x = 4 × √3/2

⇒ x = 2√3

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The complete question is:

In the figure, △

ABC are in adjacent planes. AB = AC = 5cm, BC = 6cm and o then AE is equal to

The domain of the function h(x) = √(x-10) is all real numbers x that are greater than or equal to 10, because we cannot take the square root of a negative number under the real number system.

In mathematics, the domain of a function is the set of all the possible input values (usually denoted as x) that would lead to a real and defined output. As for the function h(x)=√(x-10), we have a square root operation involved. We know that under the real number system, we cannot take the square root of a negative number.

Hence, for the function h(x)=√(x-10) to be real and defined, (x-10) must be greater than or equal to 0. That is, x-10 ≥ 0. Solving for x, we get x ≥ 10.

Therefore, the domain of the function h(x) = √(x-10) is x≥10. That is, h(x) is defined for all real numbers x that are greater than or equal to 10.

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Answer:

1.)x≤9

2.)x≥0.5

Step-by-step explanation:

1.)x+6≤15

x+6-6≤15-6

x≤9

2.)x+1.5≥2

x+1.5-1.5≥2-1.5

x≥0.5

Without additional context or details about how JK, JL, and JM are related, it's impossible to accurately calculate or deduce the value of JM. Further clarification or more information about the scenario or the mathematical or geometric principles involved is needed for a precise answer.

The question provided does not seem to present enough context or connection to standard mathematical operations or geometric principles that would enable a straightforward calculation or deduction of the value of JM. Without additional information about the relationship between JK, JL, and JM (such as whether they are sides of a triangle, or represent values in a given mathematical formula), or without a clear mathematical or geometric context, it's impossible to accurately determine the value of JM.

Generally, in mathematics, when calculating distances or values based on given lengths, one needs to apply specific formulas or theorems (such as the Pythagorean theorem in the context of right-angled triangles, or vector addition in the context of physics problems). Unfortunately, the given data lacks the necessary context to apply such principles.

For a precise and accurate answer, I recommend clarifying the problem's context or providing more details about the scenario in which JK, JL, and JM are related.

-Final answer:

To find JM in a triangle with known side lengths JK = 7 and JL = 12, we use the Triangle Inequality Theorem to determine that JM must be less than 19.

Explanation:

To find JM, we can use the fact that in a triangle, the sum of the lengths of any two sides must be greater than the length of the third side (Triangle Inequality Theorem).

JK + JL > JM

7 + 12 > JM

19 > JM

Therefore, JM must be less than 19 but more than the absolute difference of JK and JL, so JM < 19.

Answer:

35.70

Step-by-step explanation:

42. x 15%=6.30

42-6.30 is 35.70

or you can multiply 42 x 85=35.70

Answer:

$35.70

Step-by-step explanation:

$35.70

Answer:

(-1,-5)

Step-by-step explanation:

Answer:

(2, 2, 1)

Step-by-step explanation:

You can see that the point is moved 2 units (x axis), 2 units (y axis) and 1 unit (z axis). Because you write coordiantes as (x,y,z), you write (2,2,1)

Answer:

slope = - 4, y- intercept = - 9

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 4x - 9 ← is in slope- intercept form

with slope m = - 4 and y- intercept c = - 9

Answer:

erhaerah

Step-by-step explanation:

hearherharehr

Answer:

The answer would be 4f + 3g. I hope this helps!!!

Answer:

3G+4F

Step-by-step explanation:

just add the number of variables only with themself, so for example there are 3 G's, you would add them together and put 3G

The area of the (ring) - the shaded region is 75.36 in²

Solution:

The value of π = 3.14

Radius of the inner circle = 5 in

Area of the inner circle = πr²

                                       = π × 5²

Area of the inner circle = 25π

Radius of the outer circle = (5 + 2) = 7 in

Area of the outer circle = πr²

                                       = π × 7²

Area of the outer circle = 49π

Area of the shaded ring = Area of the outer circle – Area of the inner circle

                                        = 49π – 25π

                                        = 24π

                                        = 24 × 3.14

                                        = 75.36 in²

The area of the (ring) - the shaded region is 75.36 in².                                

Answer:

x^2+36 or x2 + 36 = 0

Step-by-step explanation:

Answer:

x> 6 twice

Step-by-step explanation:

x^2+36>12x

x² + 36 > 12x

Collect like terms

x² - 12x + 36 > 0

Solve quadratically using factorisation method by finding two factors of 36 that when added gives -12, the coefficient of x.

Factors = -6 and -6 which both add up to -12

Rewrite equation

x² - 6x - 6x +36> 0

Factorise by taking out the common factor

x ( x - 6) -6( x - 6) > 0

(x -6)(x - 6) > 0

x - 6 > 0 or x -6 > 0

Add 6 to both sides

x -6+6> 0+6 or x-6+6>0+6

x > 6  or x> 6

x> 6 twice

I hope this was helpful, please rate as brainliest

well, the distance from the center of a circle to any point "on" the circle is simply just its radius, thus

[tex]\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ \stackrel{center}{(\stackrel{x_1}{11}~,~\stackrel{y_1}{6})}\qquad (\stackrel{x_2}{17}~,~\stackrel{y_2}{12})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{radius}{r}=\sqrt{(17-11)^2+(12-6)^2}\implies r = \sqrt{36+36}\implies r=\sqrt{72} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\bf \textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{11}{ h},\stackrel{6}{ k})\qquad \qquad radius=\stackrel{\sqrt{72}}{ r} \\\\\\ (x-11)^2+(y-6)^2=(\sqrt{72})^2\implies (x-11)^2+(y-6)^2=72[/tex]

Final answer:

The equation of the circle with center (11, 6) that passes through the point (17, 12) is (x - 11)² + (y - 6)² = 72.

Explanation:

To find the equation of the circle with center (11, 6) that passes through the point (17, 12), we first determine the radius of the circle. The radius can be found by calculating the distance between the two points using the distance formula: √[(x2-x1)² + (y2-y1)²]. Plugging in the coordinates, we get √[(17-11)² + (12-6)²] = √[6² + 6²] = √[36 + 36] = √72. The squared radius (r²) is therefore 72.

The general form for the equation of a circle is: (x - h)² + (y - k)² = r², where (h, k) is the center of the circle. Substituting the center (11, 6) and the squared radius 72 into this equation, we get: (x - 11)² + (y - 6)² = 72, which is the desired equation of the circle.