A tape diagram. There are 35 6th graders with an older sibling out of 100 6th graders. There are question mark 6th graders with an older sibling out of 300 6th graders. StartFraction part Over whole EndFraction = StartFraction 35 times 3 Over 100 times 3 EndFraction = StartFraction question mark Over 300 EndFraction Graph If 35% of the 300 students in 6th grade have an older brother or sister, how many 6th graders have an older sibling? To solve this problem, we can write an equivalent ratio as the percent and then create the percent . 6th graders have an older brother or sister.

Answer:

net amount 143 89 tax 6.25 % which is $8.99 gross amount is $152.88

Answer:

f(x)=2.25x+5

Step-by-step explanation:

Answer:

[tex] x = 7[/tex]

Step-by-step explanation:

Value of the exterior angle is equal to the addition of the opposite interior angles in a triangle

[tex]19 + 20 = 6x - 3 \\ 39 = 6x - 3 \\ 39 + 3 = 6x \\4 2 = 6x \\ \frac{42}{6} = \frac{6x}{6} \\ x = 7[/tex]

Answer: 4x+8

Step-by-step explanation:

Okay since the area for the block is X, two numbers multiplied together is X.

Since the big block has an area of X^2, then this shows the sides to be X.

This gives the sides of the block with area X to be 1 and X.

Now just add up every side like this : 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + x + x + x + x to get 4x+8

Answer:

1/2 or 0.5

Step-by-step explanation:

Answer:

D, F, C

I hope this helps you out! :D

Answer:

A and E

Step-by-step explanation:

I have attached the graph of the problem.

Answer: Yes

Step-by-step explanation:

A supplementary triangle has sides adding up to 180°.

We have the side lengths 40, 60, and 80.

To find out if it is a supplementary triangle, we will add all the sides.

40 + 60 + 80 = 180

We get 180° as our answer when we add.

We got 180°, so the answer is yes, it can.

Best of Luck!

Answer:

yes.

Step-by-step explanation:

Any angle that adds up to 180 is a supplementary angles.

based on your examples 40, 60, 80, if you sum it up...

it equates to 180. so the answer is yes.

Answer:

the first one is 5/12 and the second one is 6/28. Hope this helps and have a nice day:)

Answer: 5/12, 3/14

Step-by-step explanation:

first problem:

first, we just reduce the numbers.

5/4 x 1/3

then, we simply multiply.

5/12

second problem:

again, we just reduce the numbers.

3/2 x 1/7

and then multiply.

3/14

Answer:

79

Step-by-step explanation:

Answer:

79

Step-by-step explanation:

Each number has a 7 numerical difference

Answer:

43.55

Step-by-step explanation:

1. Use the distance formula on both points AC and AB.

Distance formula is this:

[tex]d=\sqrt{(x2-x1)^2+(y2-y1)^2} \\\\d=\sqrt{(1--5)^2+(8--7)^2} \\\\d=\sqrt{(6)^2+(15)^2} \\\\d=\sqrt{36+225} \\\\d=\sqrt{261} \\\\[/tex]

Distance for AC  is  16.16

Now do the same with the numbers for AB and get the distance of 5.39

2. To get the area, use the formula 1/2 x base x height

AB is the base and AC is the height.

1/2 x 16.16 x 5.39 = 43.55

The area of triangle ABC is 43.5 square units.

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

The shape ABC is a triangle.

Where,

AB = Base

AC = Height

A = (1, 8)

B = (6, 6)

C = (-5, -7)

First, let's find the length of AB using the distance formula:

AB = √((6-1)² + (6-8)²)

= √(25 + 4)

= √(29)

Next, let's find the length of AC using the distance formula:

AC = √((1-(-5))² + (8-(-7))²)

= √(36 + 225)

= √(261)

The area of the triangle ABC can be found using the formula:

Area = (1/2) x base x height

We know that AB is the base and AC is the height,

Area = (1/2) x AB x AC

Area = (1/2) x √(29) x √(261)

Area = (1/2) x √(7569)

Area = (1/2) x 87

Area = 43.5

Therefore,

The area of triangle ABC is 43.5 square units.

Learn more about triangles here:

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The speed of a wave is the product of the wavelength and its frequency.

The speed of the wave is 20m/s

Given

[tex]\lambda = 10m[/tex] --- the wave length

[tex]f =2Hz[/tex] --- the frequency

[tex]A = 3m[/tex] --- the amplitude

The speed of wave (v) is calculated as follows:

[tex]v =f\lambda[/tex]

Substitute values for f and [tex]\ambda[/tex][tex]\lambda[/tex]

[tex]v = 2Hz \times 10m[/tex]

[tex]v = 20ms^{-1}[/tex]

Hence, the speed of the wave is 20m/s

Read more about waves at:

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Answer:

$162

Step-by-step explanation:

you divide 6 months by 2 then you divide 108 by 2 then you add the half of 108 and plus it to 108 then you get your total.

The function of the length of time you have been taking classes is f(x) = 15x and cost for 9 months is $135

A unit rate means a rate for one of something.

Given that, You are taking a TAE Kwan Do class that costs $15 a month. In addition, you needed to purchase a uniform. You paid a total of $108 after 6 months.

We have unit rate = $15 per month

Since, one month cost is $15 therefore, for 6 months = 15×6 = $90

Therefore, cost of uniform = $108 - $90 = $18

Let you are taking classes for x months, the function of the length of time you have been taking classes,

f(x) = 15x

For 9 month cost =

f(9) = 15×9 = 135

Hence, the function of the length of time you have been taking classes is f(x) = 15x and cost for 9 months is $135

Learn more about unit rates, click;

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Answer:

ITS A B F ON EDGE GUYS THE PEOPLE IN COMMENTS RIGHT!!!!!1

Answer:

0.5 is point D

-1/2 is point C

-1.4 is point B

2 is point F

Step-by-step explanation:

Pls give brainliest!

Answer:

1.)10  2.)0  3.)10

Step-by-step explanation:

1.) 4 (2) = 8 + 2 = 10

2.) 2(2) - 4/5 = 0

3.)2y + 11/-11 = +3y/-3y +1

2y - 3y = 1 - 11

-1y/-1 = -10/-1 = 10

Answer:

[tex]5 {x}^{2} \: + \: 8x \: - 2 \: = \: 0[/tex]

Step-by-step explanation:

[tex]sum \: of roots = - 2 + \frac{1}{5} = - \frac{8}{5} \\ product \: of \: roots = - 2 \times \frac{1}{5} = - \frac{2}{5} \\ from \: general \: equation \\ a {x}^{2} + bx + c = 0 \\ {x}^{2} + \frac{8}{5} x \: - \frac{2}{5} = 0 \\ 5 {x}^{2} \: + \: 8x \: - 2 \: = \: 0[/tex]

Answer:

Step-by-step explanation:

The triangle is equilateral. That means that <N = 60 degrees

7x - 3 = 60 degrees             Add 3

7x = 60 + 3                           Combine the right

7x = 63                                  Divide by 7

7x/7 = 63/7

x = 9

Answer:

13/24 more

Step-by-step explanation:

Dina = 5/6

Natasha = 11/8

Find the LCF

6| 6, 12, 18, 24

8| 8, 16, 24

Get each fraction to have a denominator of 24

5/6 = 20/24

11/8 = 33/24

Subtract 20/24 from 33/24

33/24 - 20/24 = 13/24

Answer:

y-1=-1/2(x+7)

Step-by-step explanation:

Find the slope first using the slope formula.

y2-y1/x2-x1

-6-1/7--7

-7/14

Slope is -1/2

Now choose one of the coordinates and put it in point-slope form.

y-1=-1/2(x+7)

Answer:

y=-3x+1

Step-by-step explanation:

Have a good one.

Answer:

2.62 ft./min

Step-by-step explanation:

Just took the test.

Answer:

I believe once it saw the cast iron skillet's beauty, it melted.

Step-by-step explanation:

No clue just that was the first thing in me mind.

Answer:

The result of the correct substitution gives:

x = 3/7 and y = 27/7

Step-by-step explanation:

From the given information:

y = 2x + 3  ---- (1)

3x + 2y = 9 ---- (2)

By using substitutional method

Substitute the value of y = 2x +3 into equation (2)

So,

3x + 2(2x + 3) = 9

3x + 4x + 6 = 9

7x = 9 - 6

7x = 3

x = 3/7

From equation (1), let replace the value of  x  to be 3/7

So,

y = 2x + 3

y = 2(3/7) + 3

y =  6/7 + 3

y = 27/7

Answer:

40:60:80

Step-by-step explanation:

2x+3x+4x=180 (sum of ang. In tri. Is 180)

X=20

2x is 40

3x is 60

4x is 80

40 plus 60 plus 80 is 180.

Answer:

[tex]m\angle ADC=132^\circ[/tex]

Step-by-step explanation:

The Law of Sines

It is an equation relating the lengths of the sides of a triangle to the sines of its opposite angles. If A, B, and C are the lengths of the sides and a,b,c are their respective opposite angles, then:

[tex]\displaystyle \frac{A}{\sin a}=\frac{B}{\sin b}=\frac{C}{\sin c}[/tex]

We have completed the figure with the variable x for angle BDA. Thus

[tex]\displaystyle \frac{35}{\sin 120^\circ}=\frac{30}{\sin x}[/tex]

Solving for x:

[tex]\displaystyle \sin x=\frac{30\sin 120^\circ}{35}[/tex]

Calculating:

[tex]\sin x=0.742[/tex]

[tex]x=\arcsin 0.742[/tex]

[tex]x\approx 48^\circ[/tex]

Since angles ADC and x are linear, their sum is 180° and:

[tex]m\angle ADC=180^\circ-48^\circ[/tex]

[tex]\mathbf{m\angle ADC=132^\circ}[/tex]

Answer:

Option D. is correct

explanation:

x = 115

<3

Answer:

u=79

Step-by-step explanation:

68=u-11

add 11 to 68

u=79

(y-4) = 2(X+1)

Step-by-step explanation:

Hey there!

The given eqaution is; y = 2x-5.......(i)

Now; As the eqaution is in the form of y= mx+b.

Slope(m1) = 2.

As per the condition of parallel lines, slope of the 1st equation (m1) = slope of 2nd eqaution (m2).

Therefore, m1= m2= 2

Now, use one point formula for finding the eqaution of the line which passes through the point.

(y-y1) = m2(x-x1)

~ Put all values.

(y-4) = 2(X+1)

You can simply write upto here. But it you want to make it simplified form then, (look below)

~ simplify it.

y = 2x +2+4

The eqaution of the line which is parallel to y = 2x -5 and point (-1,4) is y = 2x + 6.

Hope it helps.....

Answer: y - 4  = 2(x + 1)

Step-by-step explanation:

The point slope form formula says that   y - b = m(x-a)  where  m is the slope,b is the y coordinate of a given point , and a  is the x coordinate of the same point.

Remember that parallel lines have the same slopes but different y-intercepts, meaning that  m will equal to 2  because the slope for the line y=2x-5 is 2.

m will be 2, b will be 4 , and  a will be -1.

      y - 4 = 2(x - (-1)     which reduces to  

   y - 4  = 2(x + 1)

Answer:

2/9

Step-by-step explanation:

6 - 4 = 2

2 divided by 9 = 2/9