April measured her bed and made a scale drawing. The scale of the drawing was 1
centimeter = 6 inches. In the drawing, the bed is 10 centimeters long. What is the
length of the actual bed?

The closer to 1 the r value the closer the dots make a straighter line.

A positive value the distance move up to the right, a negative value the dots move down to the right.

A = r = -0.33

B = r = -0.75

C = r = 0.72

D = r = 0.89

The percent of carbon in the 24 gram sample of methane is 75%.

To find the percent of carbon in the sample of methane, you can use the formula:

Percent of Carbon = (Mass of Carbon / Total Mass of Sample) * 100

Given that the mass of carbon in the sample is 18 grams and the total mass of the sample is 24 grams, we can substitute these values into the formula:

Percent of Carbon = (18 grams / 24 grams) * 100

Percent of Carbon = (0.75) * 100

Percent of Carbon = 75%

Therefore, the percent of carbon in the 24 gram sample of methane is 75%.Mass of Carbon: The problem states that the mass of carbon in the sample of methane is 18 grams. This means that out of the total mass of the sample, 18 grams is specifically attributed to carbon.

Total Mass of Sample: The total mass of the sample is given as 24 grams. This represents the combined mass of all the elements present in the sample, including carbon and hydrogen.

Percent Calculation: To find the percentage of carbon in the sample, we use the formula: (Mass of Carbon / Total Mass of Sample) * 100. This formula calculates the fraction of carbon relative to the total mass of the sample and converts it to a percentage.

Learn more about percentage here:

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Answer:

Step-by-step explanation:

[tex]sin^2 \ x + sin ^2 \ x + 2cos^ 2\ x = 2\\\\2sin^2 \ x + 2 cos^2 \ x = 2\\\\2 ( sin^2 \ x + cos^2 \ x ) = 2 \\\\2 \times 1 = 2 \\\\2 = 2 \\\\LHS = RHS \\\\Hence \ proved.[/tex]

Answer:

6 yds

Step-by-step explanation:

If we label the shorter side as x, the longer side can be represented as 2x + 2. Now, we can write an equation to model the situation. The area of a rectangle is the sides multiplied by each other:

84 = x(2x + 2)

84 = 2x^2 + 2x

Since all terms are divisible by two, we can divide both sides by it:

42 = x^2 + x

We can write the quadratic equation in standard form:

x^2 + x - 42 = 0

Now, we can factor. We are looking for numbers that multiply to -42 and add to 1. These numbers are 7 and -6. Factored the equation would be written as followed:

(x + 7)(x - 6) = 0

Using the zero-product property, we can obtain two equations and solve them:

x + 7 = 0

x  = -7

x - 6 = 0

x = 6

Since the side of a rectangle can't be negative, the answer must be 6 yds.

Answer:

$1.70

Step-by-step explanation:

To figure out how much each apple costs, divide $1.50 by the quantity of apples (6). The answer to that is $0.25, so multiply it by the two apples to get $0.50.

For the oranges, divide $3 by 5. The answer for that is $0.60. Multiply that by the two oranges to get $1.20.

Then, add $0.50 to $1.20 to get a total of $1.70

Answer:

$1.70

Step-by-step explanation:

We know that you can buy 6 apples for $1.50 and 5 oranges for $3.00. So let's look at the cost for one individual apple first.

To find the amount/apple we can divide $1.50 by 6. Here's another way to look at it:

Assume A is cost per apple.

6A = $1.50

6A/6 = $1.50/6

A = $0.25

Now to find the amount for 2 apples, you want to multiply the amount it costs for one apple by 2, because you are multiplying the quantity by 2 as well.

A= $0.25

A *2 = $0.25 * 2

2A = $0.50

So for two apples, it is 50 cents.

We can use a similar process for oranges but with a different price and quantity.

Assume R is cost per orange.

5R = $3.00

5R/5 = $3.00/5

R = $0.60

To find the amount for two oranges we multiply the cost by two.

R = $0.60

R*2 = $0.60*2

2R = $1.20

Finally, we want the total amount for apples AND oranges so we find the sum.

$0.50 + $1.20 = $1.70

Answer:

3956

Step-by-step explanation:

92 * 43

92 * 40 = 3680

92 * 3 = 276

3680 + 276 = 3956

Answer:

775

Step-by-step explanation:

We are given two equations in which we can perform systems of equations by putting these two equations on top of each other then solving for one variable:

x+y=15

x-y=25

Here, we can cancel out the y variable and get:

2x=40

x=20

Then we can put the x variable into any of the equations to solve for y (in this case I will use the equation x+y=15 so 20+y=15

y=-5

Now, we can solve by plugging both variables into 2x^2 - y^2 :

2(20)^2 - (-5)^2

800-25 = 775

I hope this helps!

Answer:

775

Step-by-step explanation:

Hi there!

We are given the following system of equations:

x+y=15

x-y=25

and we need to find the value of 2x²-y²

First, let's find the value of x and y

Let's add the 2 equations together to clear y and solve for x (y-y=0)

2x=40

divide both sides by 2

x=20

Now substitute 20 as x into either one of the equations to solve for y

To do x-y=25 for instance,

20-y=25

subtract 20 from both sides

-y=5

multiply both sides by -1

y=-5

Now we know that x=20 and y=-5

Substitute those values into the expression (remember: y² is equal to y×y, or (y)²)

2(20)²-(-5)²

Raise to the second power

2(400)-(25)

multiply and open parenthesis

800-25

subtract

775

Hope this helps!

Answer:

yes , k = 9

Step-by-step explanation:

The equation of a proportional relationship is

y = kx ← k is the constant of proportion

To find k divide both sides by x

[tex]\frac{y}{x}[/tex] = k

Check each ordered pair in the table

k = [tex]\frac{18}{2}[/tex] = 9

k = [tex]\frac{45}{5}[/tex] = 9

k = [tex]\frac{63}{7}[/tex] = 9

Thus the relationship is proportional with k = 9

Answer:

every single angle is 90°

Step-by-step explanation:

remember that,

4 angles will form if two lines intersect and the sum of those 4 angles is 360°

we are given the sum of 3 angles i.e 270

so one of the angles should be

[tex] \displaystyle {360}^{\circ} - {270}^{\circ}[/tex]

simplify substraction:

[tex] \displaystyle {90}^{\circ}[/tex]

therefore since one of the angles is 90° the intercepting lines are Perpendicular as a result every single angle formed by the two intercepting lines is 90°

Answer:

90°

Step-by-step explanation:

We know that sum of angle around a point is 360° . Here its already given that sum of three Angles out of 4 is 270°

Therefore :-

Measure of remaining one angle ,

Therefore the measure of the fourth angle is 90°

Answer:

A

Step-by-step explanation:

Thanks to the given angle, we can say that the triangle formed by tracing another height has two congruent legs

So

x = 9 + 7 = 16

y = √2 * 9^2 = 9√2

Answer:

A

Step-by-step explanation:

Completing the rectangle formed by legs 9 and 7 , gives us a right triangle on the left.

Using the sine ratio and the exact value sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{9}{y}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

y = 9[tex]\sqrt{2}[/tex]

Using the tan ratio in the right triangle and the value tan45° = 1 , then

tan45° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{9}{adj}[/tex] = 1

adj = 9

Then

x = 9 + 7 = 16

Answer: In the end, she has $5400 in total, so she must gain $400 on her investment.

Step-by-step explanation:

8% is 0.08 >>> add 1 to it = 1.08

5000*1.08 = 5400

or the other way to do this is 5000*0.08 = 400 and then 5000+400=5400

Hope this helps!

Answer:

(a) By cosine rule, /PQ/2=202+152−2×20×15×cos145°

= 400+225−600cos145°

= 625+600×0.8192

= 491.52+625

/PQ/2=1116.52⟹/PQ/=1116.52−−−−−−√=33.41

≊33km ( to the nearest whole number)

(b) By sine rule,

sin<QPR15=sin14533.41

sin<QPR=15sin14533.41

sin<QPR=15×0.573633.41=0.2575

<QPR=14.92°

∴ Bearing of Q from P = 25° + 14.92° = 39.92°.

≊40° (to nearest whole number)

Step-by-step explanation:

hope it helps

...

We have that

x - 3y = 12 and -x + y = 4

We add the 2 equations together

x - 3y + (-x + y) = 16

-> -2y = 16

-> y = -8 (1)

We plug y = -8 into -x + y =4

-> -x - 8 = 4

-> -x = 12

-> x = - 12 (2)

From (1) and (2) we could conclude that the answer is B

Answer:

2.5 * 10⁷

Step-by-step explanation:

Answer:

25,000,000

Step-by-step explanation:

Answer:

[tex]- ab - 8a + 9[/tex]

Step-by-step explanation:

[tex](6ab - 8a + 8) - (7ab - 1) \\ 6ab - 8a + 8 - 7ab + 1 \\ - ab - 8a + 9[/tex]

hope this helps you.

Answer:

-ab - 8a + 9

Step-by-step explanation:

(6ab - 8a + 8) - (7ab - 1) =

= 6ab - 8a + 8 - 7ab + 1

= -ab - 8a + 9

Answer:

64

Step-by-step explanation:

2x2x2x2x2x2 = 64

Answer:

$837.5

Step-by-step explanation:

here given

Principal (P)= $ 1000

Rate. (R)= 16.75%

time. (T)= 5year

we know

Simple interest (S.I)= PTR/100

1000*5*16.75/100

= $837.5

Answer:

7/50 = x/75

x = 10.5

therefore he would run 10.5 miles in 75 minutes

Answer:

In 75 minutes, she runs (7/50) x 75 = 10.5.

She runs 10.5 miles in 75 minutes.

Step-by-step explanation:

Answer:

9 < x

6 - f

t × 6

1/2n

Step-by-step explanation:

Given expressions:

9 less than x

Less than (<)

9 less than x = 9 < x

6 minus f

Minus (-)

= 6 - f

t multiplied by 6

Multiplication (×)

= t × 6

one half of a number n

One half = 1/2

one half of a number n

= 1/2 × n

= 1/2n

= n/2

Answer:

(y-1)

Step-by-step explanation:

simplified you split y^2-1y+-4y+4 this is further simplified by splitting equation into y(y-1)   -4(y-1) this leaves you with (y-4)(y-1)/(y-4) y-4 will cancel out and you are left with y-1

Answer:

You already post your answer!

Step-by-step explanation:

Maybe you should get two points in order to find midpoint and endpoint!

or you should give other information!

Answer:

8 inches

Step-by-step explanation:

Given:

t = 2 ( 2h/32 ) ^1/2 ( or: t = 2 * sqrt ( 2h/32) ).

Step 1: First Player

0.9 = 2 * sqrt( 2h/32 )   / ^2 ( we will square both sides of equation )

0.81 = 4* 2h/32

0.81 = h/4

h 1 = 0.81 * 4 = 3.24 ft

Step 2: Second Player

0.8 = 2 * sqrt( 2h/32 ) /^2

0.64 = 4 * 2 h/32

h 2 = 0.64 * 4 = 2.56 ft

Step 3: Simplify

h 2 - h 1 = 3.24 - 2.56 = 0.68 ft

and since 12 in = 1 ft:

0.68 * 12 = 8.16 in ≈ 8 in.

Answer:

The answer is 90cm

Step-by-step explanation:

Hello,

Lateral area = (3+3+3+3)*6=4*3*612*6=72 (cm²)

Bases area= 2*3²=18 (cm²)

Total area= 72+18=90 (cm²)

Answer:

b + 24

Step-by-step explanation:

b and 24 would be b + 24

Solution given:

it is a right angled isosceles triangle

so

perpendicular [p]=base[b]=5

hypotenuse [h]=x

we have

by using Pythagoras law

p²+b²=h²

5²+5²=h²

50=h²

h=[tex]\sqrt{50}[/tex]

x=[tex]\bold{5\sqrt{2}}[/tex]

Answer: 24

Step-by-step explanation: