Simplify the expression. 3x - (2x + 4) + 5

Answer:

x = 6

y = 45 degrees

Step-by-step explanation:

Here, we want to get the measure of x and y

For a 45-45-90 triangle, the measure of each of the internal angle asides the right angle is 45 degrees

This mean y is 45

To get x, we know we have an isosceles triangle

So the length of the third ungiven leg is x too

Mathematically, the square of the hypotenuse (side facing the right angle) is equal the sum of the squares of the two other sides

(6 √2)^2 = x^2 + x^2

72 = 2x^2

x^2 = 72/2

x^2 = 36

x = √36

x = 6

The frequency of an event uses counting numbers, but the ___Relative Frequency__ of an event uses a percent or a number between 0 and 1.

Relative frequency is the ratio of the considered sub group's count to the total count. (so its frequency of the considered sub group relative to the total frequency).

It ranges from 0 to 1 (since sub group's count ≤ total count. Expressing this decimal form to percent make it range from 0% to 100%

Thus, the frequency of an event uses counting numbers, but the ___Relative Frequency__ of an event uses a percent or a number between 0 and 1.

Learn more about relative frequency here:

https://brainly.com/question/8358304

Answer:

11.2 Slices / Week

Step-by-step explanation:

We know that Jake has eaten 5 slices of cake in 3 days. You can divide 5 / 3 to get an average of 1.6 slices of cake being eaten per day. The question asks what the weekly rate or eating the cake will be, do you need to multiple 1.6 x 7 for the total amount of cake eaten per week, which is 11.2 slices!

Hope this helped!

Answer:

$840

Step-by-step explanation:

4 weeks = 28 days

28 x 30 = 840

Answer:

120°

Step-by-step explanation:

31 + 29 = 60

180 - 60 = 120

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Answer:F(x)=4x-20

Step-by-step explanation:

The X on both sides is 12.

Answer:

The graph of f (x)=[x+2] after it is translated 4 units to the right

Answer:

4

Step-by-step explanation:

13 x 4 = 52 + 7 = 59

Answer: 7,720

The answer is 7,720! got the question correct with it

Answer:

#3 is 40

#4 is 90

Step-by-step explanation:

Answer:

this is the 3rd one or second

Step-by-step explanation:

Answer:

Step-by-step explanation:

Number of cupcakes 2

number od cookies 5

Answer:

Length of the pool = 52 m

Width of the pool = 25 m

Step-by-step explanation:

Perimeter of rectangular pool = 154 m

Let the length of rectangular pool = l m

And width of the rectangular pool = w m

Formula, to calculate the perimeter of a rectangle is given by,

Perimeter = 2(Length + width)

By substituting values in the formula,

154 = 2(l + w) --------(1)

Since, "length of the pool is 2 m more than twice of its breadth"

l = 2 + 2w ---------(2)

Bu substituting value of 'l' from equation (2) to equation (1),

154 = 2[(2 + 2w) + w]

154 = 2(3w + 2)

77 = 3w + 2

3w = 75

w = 25 m

From equation (2),

l = 2 + 2(25)

l = 2 + 50

l = 52 m

Therefore, length of the rectangular pool is 52 m and width is 25 m.

Answer:

The number is 1.6 .

Step-by-step explanation:

37.5x = 60

x = 60/37.5

x = 1.6

Answer: meters: 3 6 9 12

            Millimeters: 6,000 7,000 9,000

Step-by-step explanation:

Your adding by 3 in meters and then after 7,000 you have 9,000 then 10,000

I hope this helped!

Answer: 1: 6, 2: 7, 3: 9000, 4: 10

im sure thats it

Step-by-step explanation:

Answer:

92.99

Step-by-step explanation:

Answer:

c ≥ $13

Step-by-step explanation:

We know that Linda will spend more than $29 on a gift.

This means that if S is the total amount she will spend on the gift, the minimum that she can spend is $29, we can write this as:

S is larger than or equal to $29

S ≥ $29

Now we know that she already spent $16, then we can write:

S = $16 + c

Where c is the additional amount she will spend.

Replacing that in our inequality we get

$16 + c ≥ $29

Now we can subtract $16 in both sides to get:

$16 + c - $16 ≥ $29 - $16

c ≥ $29 - $16 = $13

c ≥ $13

This means that she will spend at least another $13,

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Volume

= 4 / 3 πr ^ 3

= 4 / 3 × π × 93

= 972π

= 3053.6280592893 feet3

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Branilest?

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

the answer is 640.

if you take 640 and multiply it by .23 (because of 23%), you get 147.2 which is exactly what you are looking for.

Hope this helps! :)

Answer:

$23.99

Step-by-step explanation:

Answer:

%40 Off

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Hi! Because the equation is y=5x-4, it tells is that it intersects with the y axis at -4, and that it's slope goes up 5, right 1. Since B is the only graph that shows that, the answer is b.

There's a slight problem with your question, but we'll get to that...

Consecutive terms of the sequence are separated by a fixed difference of 21 (22 = 1 + 21, 43 = 22 + 21, 64 = 43 + 21, and so on), so the n-th term of the sequence, a (n), is given recursively by

• a (1) = 1

• a (n) = a (n - 1) + 21 … … … for n > 1

We can find the explicit rule for the sequence by iterative substitution:

a (2) = a (1) + 21

a (3) = a (2) + 21 = (a (1) + 21) + 21 = a (1) + 2×21

a (4) = a (3) + 21 = (a (1) + 2×21) + 21 = a (1) + 3×21

and so on, with the general pattern

a (n) = a (1) + 21 (n - 1) = 21n - 20

Now, we're told that the sum of some number N of terms in this sequence is 2332. In other words, the N-th partial sum of the sequence is

a (1) + a (2) + a (3) + … + a (N - 1) + a (N) = 2332

or more compactly,

[tex]\displaystyle\sum_{n=1}^N a(n) = 2332[/tex]

It's important to note that N must be some positive integer.

Replace a (n) by the explicit rule:

[tex]\displaystyle\sum_{n=1}^N (21n-20) = 2332[/tex]

Expand the sum on the left as

[tex]\displaystyle 21 \sum_{n=1}^N n-20\sum_{n=1}^N1 = 2332[/tex]

and recall the formulas,

[tex]\displaystyle\sum_{k=1}^n1=\underbrace{1+1+\cdots+1}_{n\text{ times}}=n[/tex]

[tex]\displaystyle\sum_{k=1}^nk=1+2+3+\cdots+n=\frac{n(n+1)}2[/tex]

So the sum of the first N terms of a (n) is such that

21 × N (N + 1)/2 - 20N = 2332

Solve for N :

21 (N ² + N) - 40N = 4664

21 N ² - 19 N - 4664 = 0

Now for the problem I mentioned at the start: this polynomial has no rational roots, and instead

N = (19 ± √392,137)/42 ≈ -14.45 or 15.36

so there is no positive integer N for which the first N terms of the sum add up to 2332.

Answer:

72

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

25-7=18

18÷25=0.72×100=72

Answer:

c. 6.5

Step-by-step explanation:

mean basically means average

2+3+4+5+6+7+8+9+10+11=65

65/10=6.5

Answer:

There is no significant evidence to conclude that the mean waiting time is less than 3.8 minutes

Step-by-step explanation:

H0 : μ = 3.8

H1 : μ < 3.8

Test statistic :

(x - μ) ÷ s/sqrt(n)

(3.7 - 3.8) ÷ 0.6/sqrt(60)

Test statistic = - 1.29

The Pvalue from test statistic :

P(z < -1.29) = 0.0985

Reject Null if

Pvalue < α

0.0986 > 0.01 ; Hence, we fail to reject the null ;

There is no significant evidence to conclude that the mean waiting time is less than 3.8 minutes

Answer:Noah spent  $46.80 on video game.

Step-by-step explanation:

Amount spent on game by Nathan =$62.40

Amount spent on game by Noah =3/4 as much as Nathan.

Therefore Noah spent 3/4 x $62.40= $46.80 on video game.

Answer:  No two students ran same distance

Step-by-step explanation:

Given

Stacy ran [tex]\frac{9}{12}[/tex] of a km i.e.

[tex]\Rightarrow 1\times \dfrac{9}{12}=\dfrac{3}{4}=0.75\ km[/tex]

Jules ran [tex]\frac{4}{5}[/tex] of a km i.e.

[tex]\Rightarrow 1\times \dfrac{4}{5}=0.8\ km[/tex]

Raul ran [tex]\frac{3}{4}[/tex] of mile i.e.

[tex]\Rightarrow 1\times \dfrac{3}{4}=0.75\ miles\\\\\text{1 mile=1.6 km}\\\\\Rightarrow 0.75\ miles=1.2\ km[/tex]

So, no two students ran the same distance.