what’s the solution to the linear equation?

2/3x-1/2=1/3+5/6x

a. x=-5
b. x=-1/6
c.1/6
d.x=5

Answer:

18. 2,047.5 yd³

19. 3204 in.²

Step-by-step explanation:

18. Volume of triangular prism = triangular base area × height of prism

Height of prism = 21 yd

Triangular base area = ½*b*h

b = 15 yd

h = √(15² - 7.5²) = √168.75 ≈ 13 yd

Triangular base area = ½*15*13 = 97.5 yd²

Plug in the values into the formula of the volume of prism

Volume of prism = 97.5 × 21

= 2,047.5 yd³

19. Surface area = 2πrh + 2πr²

Where,

r = 15 in.

h = 19 in.

Plug in the values

Surface area = 2*π*15*19 + 2*π*15²

Surface area = 3204.42 ≈ 3204 in.² (nearest whole number)

9514 1404 393

Answer:

  -2, 3

Step-by-step explanation:

For the product to be negative, exactly one of the two numbers must be negative. For the sum to be positive, the positive number must be larger than the absolute value of the negative number.

One such pair of numbers is -2 and 3.

__

Their product is -6; their sum is +1.

Step-by-step explanation:

8.

Let the number is x. A number minus 7 is (x-7). It is doubled to get 86. So,

[tex](x-7)^2=86\\\\x-7=\sqrt{86}\\\\x-7=\pm 9.27\\\\x-7=9.27\ and\ x-7=-9.27\\\\x=16.27\ or\ x=-2.27[/tex]

The number can be 16.27 or -2.27.

9.

The diameter of the cylindrical tank, d = 20 ft

Radius, r = 10 ft

It is filled with oil to a depth of h feet.

The volume of a cylindrical shaped object is given by :

[tex]V=\pi r^2 h[/tex]

Put the given values,

[tex]V=\pi (10)^2h\\\\V=3.14\times 100\times h\\\\V=314h\ ft^3[/tex]

So, the volume of the tank is equal to [tex]314h\ ft^3[/tex].

Answer:

53

Step-by-step explanation:

https://brainly.com/question/23396982?answering=true&answeringSource=greatJob%2FquestionPage%2F1

Answer:

it just a released test from previous year. It is not the real test . I may be use as a practice.

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

option b

i.e-

(-1,3) and (2,6)

Step-by-step explanation:

The solution of two graphs are the point where they intersect each other.

Above, they intersect each other at two points

Answer:

the mean is 84.4

Step-by-step explanation:

have a good day

Answer: 84.4

Step-by-step explanation:

Answer:

parangaricutirimicuaro

Answer:

Only sequence B

Step-by-step explanation:

Got the answer from Khan Academy.

A translation 6 units to the right and 6 units up, then a 180° rotation about point B. The correct option is B.

The process of changing the location of the image on the coordinate system will be known as the translation. Each point in a figure is moved the same distance in the same direction using a type of transformation known as translation.

It is given that triangles XYZ and ABC are congruent. The side length of each square on the grid is 1 unit.

In the figure, we can see the translation 6 units to the right and 6 units up, then a 180° rotation about point B.

Therefore, the translation is 6 units to the right and 6 units up, then a 180° rotation about point B. The correct option is B.

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Answer:

Step-by-step explanation:

Assumed the base is the longer side.

The height of the parallelogram is:

The area is:

Answer:

215132

Step-by-step explanation:

deltamath

Answer:

x = 6

Step-by-step explanation:

4(x + 4) = 5(3 + 5) => Intersecting Secants Theorem

4(x + 4) = 5(8)

Open the bracket

4x + 16 = 40

Subtract 16 from each side

4x + 16 - 16 = 40 - 16

4x = 24

4x/4 = 24/4

x = 6

The length of the segment x is 6

The length of the segment x is calculated using the Intersecting Secants Theorem

This is represented as:

[tex]4(x + 4) = 5(3 + 5)[/tex]

Evaluate 3 + 5

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

Open brackets

[tex]4x + 16 = 40[/tex]

Collect like terms

[tex]4x = 40 - 16[/tex]

Evaluate the like terms

[tex]4x = 24[/tex]

Divide both sides by 4

[tex]x = 6[/tex]

Hence, the length of the segment x is 6

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Answer:

20 students were absent

Step-by-step explanation:

Half means divide by 2:

40/2 = 20

Answer:

Solution

Step-by-step explanation:

the value of the variable which makes an equation a true sentence is called the solution of the equation

Answer:

Make sure you include the words ^-^

Step-by-step explanation:

Answer: 24

Step-by-step explanation:

24/3=8

Answer:

M<1 is 43 degrees and M<2 is 137

Step-by-step explanation:

This is a case of supplementary angles. M<1 and M<2 are supplementary, which means that their angle degrees added together will be equal to 180. The same is for M<2 and M<3, and M<3 and M<4, and M<1 and M<4. Basically, two angles are supplementary when they form a straight line, or 180 degrees

First, we know that M<1 and M<2 added together is 180. We know M<1 is 7x+1, so then, we have:

(7x+1) + (M<2) = 180

Therefore, we have 180-(7x+1) = M<2. We can't solve the equation further on from there, so we move on.

Next, we know that M<2 and M<3 added together is 180. We know that M<3 is 12x-29, so then, we have:

(12x-29) + (M<2) = 180

Therefore, we have 180-(12x-29) = M<2. Now, we have two equations to solve x:

180-(7x+1) = M<2 and 180-(12x-29) = M<2. As both equations equal M<2, they equal each other. Thus, we have:

180-(7x+1) = 180-(12x-29)

We can cancel out 180, so:

-(7x+1) = -(12x-29)

-7x-1 = -12x+29

-30 = -5x

x = 6.

Now that we have x, we can find M<1, M<3, and M<2. M<1 is (7x+1), so we use substitution, putting 6 for x, and M<1 is evaluated to 43 degrees.

Now that we have M<1, we can find M<2 easily. M<1 + M<2 = 180, so 43 + M<2 must be 180. Therefore, M<2 is 137 degrees.

We can do the same for M<3, but the problem does not require it.

Answer:

C

Step-by-step explanation:

For each increase of one year of age, the number of events a person participated in decreases by 1.3. Option C is correct.

As there is only one projection on the x-axis and one projection on the y-axis for each point, scatter plots are graphs that depict individual points of data and are labeled with quantitative values on both coordinate axes. Scatter plots, which display data points on a horizontal and vertical axis, are used to demonstrate how much one variable influences another.

It is given that, the equation for the regression line is yˆ=−1.3x+45.8.

The scatterplot is drawn between the number of events and age which shows the age of event participants.

It is obtained that the number of events a person participated in reduces by 1.3 for every year of age increase.

Thus,option C is correct.

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Answer:

2by8 of marians garden

Step-by-step explanation:

Step-by-step explanation:

sorry tried but dont know

Answer: 3.50

Step-by-step explanation:

Answer:

Number of students in district = 3,055 students

Step-by-step explanation:

Given:

Ratio [Teachers to students] = 2 : 47

Total number of teachers in district = 130

Find:

Number of students in district

Computation:

Number of students in district = Total number of teachers in district[47/2]

Number of students in district = 130[47/2]

Number of students in district = 65[47]

Number of students in district = 3,055 students

Answer: [tex]\frac{4^{9} }{4^{3} }[/tex]=4096

Steps:

[tex]\frac{4^{9} }{4^{3} }[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}[/tex]

[tex]\frac{4^9}{4^3}=4^{9-3}[/tex]

[tex]=4^{9-3}[/tex]

[tex]4^{9} -^{3}[/tex]

=4096

The Simplifying the expression 4 ^ 9 / 4 ^ 3 will be 4096.

Simplification is the process of replacing a mathematical expression with an equivalent one, that is simpler (usually shorter), for example.

Simplification of algebraic expressions, in computer algebra.

Simplification usually involves making the expression simple and easy to use later.

We need to Simplifying the expression

4 ^ 9 / 4 ^ 3 .

Now,  4 ^ 9 / 4 ^ 3

Using exponent formula;

= 4 ^ ( 9 - 3 )

= 4 ^ 6

= 4096

Therefore, the Simplifying the expression 4 ^ 9 / 4 ^ 3 will be 4096.

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Answer:

Mizuki is here to help! The answer is D!

Step-by-step explanation:

Ok... So there are 24 students in the class and no other students in the class has the same name right? So the fraction should be [tex]\frac{3}{24}[/tex] since there are three madisons, which will be 0.125!

Since three people have the same name, everyone else gets less probability of getting called so the answer would be D.

Answer:

Option D

Step-by-step explanation:

Total Students in a class: 24

Total Madisons in the class: 3

Denominator is always the total number of something so; [tex]\frac{3}{24}[/tex]

3/24 = 0.125

Any other student would have a probability of [tex]\frac{1}{24}[/tex] of being chosen which is less than [tex]\frac{3}{24}[/tex], therefore, Option D is the most sensible one.

Hope this helps!

Answer:

B (2,-3) A (7,-8)

Step-by-step explanation:

they are just the same points but in the negative side of the x-axis

Answer:

2 km

Step-by-step explanation:

Reference angle = 45°

Opposite = u

Hypotenuse = 2√2 km

To find u, apply SOH:

Sin 45° = Opp/Hyp

Sin 45° = u/2√2

√2/2 = u/2√2 (sin 45 = √2/2)

Cross multiply

2*u = √2*2√2

2u = 4

Divide both sides by 2

u = 4/2

u = 2 km

Answer:

Q2 : y= -2x+9

Q4: y= 2x+8

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