Every day, Jackie practices basketball and guitar. Each day, she practices basketball for 1.5 hours. If after 6 days she practiced both basketball and guitar for a total of 21 hours, how many hours per day did Jackie practice guitar?

Answer:

Step-by-step explanation:

they take 6 hours  to paint the garage if the two of you paint together.

It will take you 10 hours to paint your garage

it will take your brother 15 hours to paint your garage.

How long will it take to paint the garage if the two of you paint together

Total work = LCM of 10 and 15 = 30 units

now , it will take 10 hours to paint the garage

therefore it one hour efficiency = 30/10 =3 units

similarly your brother take 15 hours to apint the garage

therefore brother one hour efficiency = 30/15 = 2 units

so total one hour efficiency is 5 units

and total work is 30 units and their one hour efficiency is 5 units

therefore they complete the work in 30 /5 = 6 hour

Hence they take 6 hours  to paint the garage if the two of you paint together.

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people who responded to survey are 120

Answer: 120.

Step-by-step explanation: the angles of a triangle add up to 180 degrees.  angles c and d are given and their values add up to 120 degrees. so E must be 180-120, which equals 60 degrees. We also know that a straight line is 180 degrees and since one side is 60 degrees, the other one must add up with 60 to give 180, which is 120.

Answer:

$505.83

Step-by-step explanation:

12.97 × 39 = 505.83

A two–way table that shows data from Leslie's survey is presented as follows;

Dog. No dog Total

Cat. 17. 24. 41

No cat. 30. 9. 39

Total 47. 33. 80

The given parameters are;

Solution;

The number that have dogs and no cat = 47 - 17 = 30

Therefore, we have;

Dog and cat = 17

No dog and cat = 24

No dog no cat = 9

Total number that have cats = 17 + 24 = 41

Number that have no cats = 30 + 9 = 39

Sum total of students that have no dogs = 24 + 9 = 33

A two way table is presented as follows;

Dog. No dog Total

Cat. 17. 24. 41

No cat. 30. 9. 39

Total 47. 33. 80

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Answer:

Step-by-step explanation:

6+11=17/2*8=136/2

68.

Solving for the variable 'f' gives f = 100 - 2h/5

A subject of formula can be defined as the variable that is expressed in terms of other variables in a given expression, function of equation.

It is the variable that is worked out in an equation and left to stand on its own on one side of the equality sign

Given the equation;

5f+2h = 100

To make 'f' the subject of formula, we take the following steps;

Take '2' over the equality sign

5f = 100 - 2h

Now, let's make 'f' the subject by dividing both sides by its coefficient which is 5

We have;

5f/5 = 100 - 2h/5

Divide through

f = 100 - 2h/5

Thus, solving for the variable 'f' gives f = 100 - 2h/5

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Answer:

I think that is correct, sorry is i get it wrong

6 weeks from now, you will have $215 in your bank account

The given parameters are:

b = 60 + (20+6)w

When the account balance is $215, we have

60 + (20+6)w = 215

Subtract 60 from both sides

(20+6)w = 155

This gives

26w = 155

Divide both sides by 26

w = 5.96

Approximate

w = 6

Hence, 6 weeks from now, you will have $215 in your bank account

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Well all the angles in a triangle add up too 180º and this triangle is obviously a equilateral triangle (all sides are same) BUT as you see the other people saying X = 60º notice that it says 2 xº meaning that it is X x 2 so 60º is actually wrong :).

If it is X is 60º (since the 3 angles add together since it’s equilateral) then that would be 2 x 60º = 120º times 3 WHICH IS NOT 180.I think U get what I mean now,it’s 2 Xº; so X is 30 because 30 x 2 = 60º and 60 x 3 = 180º!

So Da Answer is X = 30º

Hope this helped :)

Have a great day!

Answer:

x = - 3

Step-by-step explanation:

Given

3(x - 6) + 6 = 5x - 6 ← distribute and simplify left side

3x - 18 + 6 = 5x - 6

3x - 12 = 5x - 6 ( subtract 5x from both sides )

- 2x - 12 = - 6 ( add 12 to both sides )

- 2x = 6 ( divide both sides by - 2 )

x = - 3

Answer:

x =17

Step-by-step explanation:

(11x -26) + (− 4x+ 87) =180

7x + 61 =180

7x = 119

x =17

Answer:

∠6=116°

Step-by-step explanation:

Buckle up :)

[tex]-2x+94=-5x+139[/tex]

Solve for x. Subtract 94 from both sides:

[tex]-2x+94-94=-5x+139-94\\\\-2x=-5x+45[/tex]

Add 5x to both sides:

[tex]-2x+5x=-5x+5x+45\\\\3x=45[/tex]

Divide both sides by 3:

[tex]\frac{3x}{3} =\frac{45}{3} \\\\x=15[/tex]

Insert the value of x into angle 4 because they are same-side interior angles. This is because they are on the same side of the transversal and within the parallel lines. Same-side interior angles are supplementary, so their value will add up to 180°. Therefore, in order to find angle 6, we need to first find the true value of angle 4:

[tex]x=15\\\\-2(15)+94\\\\-30+94\\\\64[/tex]

∠4 is 64°. Use ∠a+∠b=180 to find angle 6:

[tex]a+64=180[/tex]

a represents angle 6. Subtract 64 from both sides:

[tex]a+64-64=180-64\\\\a=116[/tex]

Angle 6 has a measure of 116°.

:Done

Answer:

5√7

Step-by-step explanation:

√7 + 6√7 - 2√7 = 5√7

the distance between the points (8, 7) and (6, 3) which is the hypotenuse of the triangle is 2 √ 5 units.

We need to find the distance between two points which is the hypotenuse of the triangle:

(8, 7) and (6, 3)

It can be calculated using distance formula:

D = √ (x₂ - x₁)² + (y₂ - y₁)²

Substituting the values in the formula, we get that:

D = √ (6 - 8)² + (3 - 7)²

D = √ ( - 2 )² + ( - 4 )²

D = √ 4 + 16

D = √ 20

D = 2 √ 5 units

Therefore, we get that, the distance between the points (8, 7) and (6, 3) which is the hypotenuse of the triangle is 2 √ 5 units.

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Answer:

Are we supposed to solve for x?

Step-by-step explanation:

If that is what you need then I will be able to answer it

Answer:

X = 60° (corresponding angles are equal )

Answer:

2

Step-by-step explanation:

The formula for slope is rise/run, thereforre 16 divided by 8 is 2, which is the slope.

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Answer:

The slope is going to be 2 you just divide.

Step-by-step explanation:

Answer:

2/4 x 7/10 = 14/40, or 7/20.

5/6 x 3/4 = 15/24, or 5/8

3/4 x 2/3 = 6/12, or 1/2

3/10 x 4/5 = 12/50, or 6/25

i think you can finish the rest, all you have to do is multiply the numerator and the numerator, and the denominator and the denominator.

numerator = number on the top

denominator = number on the bottom

then put the two results:

[numerator x numerator]

____________________

[denominator x denominator]

hope this helped! ^^

Answer:

u can do this  u got this

Step-by-step

Hello!

[tex]\large\boxed{k = 10^{o}}[/tex]

When given two interior angles and an exterior angle, the sum of the two interior angles is equal to the sum of the exterior angle. Therefore:

m∠YZX + m∠ZXY ≅ m∠MYZ

(4k + 5)° + (6k + 10)° = 115°

Combine like terms:

10k + 15 = 115°

Subtract 15 from both sides:

10k = 100°

Divide both sides by 10:

k = 10°

Answer:

k=10

Step-by-step explanation:

First you would find the missing angle at the top this would be 65 degrees, this means that the 2 other missing angles must total to 115 degrees.

Second you would set the equations equal to 115

4k+5+6k+10=115

Then you would combine the like terms

10k+15=115

next you would subtract the 15 from both sides

10k=100

then you divide by 10

k=10

Answer:y=-3x+10

Step-by-step explanation:

Anil Kumar should pay a compound amount of Rs. 23,397.12 at the end of 2 years.

Compound interest is a method of calculating interest where the interest earned is added to the principal amount, and the resulting sum becomes the new principal for the next period's interest calculation. This process is repeated until the end of the investment period.

The formula to calculate the compound interest is:

[tex]A = P(1 + r/n)^(^n^t^)[/tex]

Where,

A = Amount after the given time

P = Principal amount (initial investment)

r = Annual interest rate (as a decimal)

n = Number of times the interest is compounded per year

t = Time duration for which the interest is calculated (in years)

In this case, Anil Kumar took a loan of Rs. 20,000 from a bank at the rate of 8% per annum, compounded half-yearly, for 2 years. Therefore, we can plug in the values as follows:

P = Rs. 20,000

r = 8% per annum = 0.08 (as a decimal)

n = 2 (since the interest is compounded half-yearly)

t = 2 years

Now, we can calculate the compound amount using the above formula:

[tex]A = P(1 + r/n)^(^n^t^)[/tex]

[tex]A = 20,000(1 + 0.08/2)^(^4^)[/tex]

[tex]A = 20,000(1 + 0.04)^4[/tex]

[tex]A = 20,000(1.04)^4[/tex]

[tex]A = 23397.1712[/tex]

Therefore, Anil Kumar should pay a compound amount of Rs. 23,397.123 at the end of 2 years.

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Answer:

= −25.1m − 9.1

Step-by-step explanation:

Answer:

-25.1m - 9.1

Step-by-step explanation:

Answer:

it is definately b

Step-by-step explanation:

i got u 100

Answer:

B. Yes, She did the problem correctly

Step-by-step explanation:

Answer:

The inequation 6x ≥ 8x - 4 can be used to find the solution.

The solution is x ≤ 2

Step-by-step explanation:

In math, 'at least' represents greater or equal than (which is the inequation simbol ≥)

If x represents the number then six times a number is the multiplication of x by 6, and four less than eight times the number can be written as: 8x -4

6x ≥ 8x - 4

Solving the inequation;

Substracting 6x each side:

0 ≥ 8x - 6x -4

Suming 4 each side

4 ≥ 2x

Dividing by 2 each side

2 ≥ x

2 greater or equal than x is the same as:

x ≤ 2

Answer:

she'll use in total 1/5 + 3/5 = 4/5 from her 16 pounds of peanuts so 4/5 * 16 = 12.8

Not entirely sure about my answer

Answer:

D

Step-by-step explanation:

B and C aren't correct

Answer:

y - 4 = -8/7(x - 4)

Step-by-step explanation:

Point-Slope form: y - y₁ = m(x - x₁)

x₁ and y₁ would be the coordinates of the point (4,4).

m would be the slope -8/7.

Substituting these values:

y - 4 = -8/7(x - 4)

Answer:

B

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = - [tex]\frac{8}{7}[/tex] and (a, b) = (4, 4) , then

y - 4 = - [tex]\frac{8}{7}[/tex] (x - 4) → B