Prime number after 167, 118, 82, 57, 41,

Answer:    

There are three ways to solve systems of linear equations in two variables: graphing. substitution method. elimination method.

Step-by-step explanation: hope this helps :)

Answer:

75.36cm

Step-by-step explanation:

We use the pithagorean theorem: height^2 = 152^2 - 132^2 = 5680;

height = [tex]\sqrt{5680} = 75..36 cm[/tex]

Ok done. Thank to me :>

Answer:

A = bh ( multiply both sides by 2 to clear the fraction )

2A = bh ( divide both sides by h )

b=2A/H

Step-by-step explanation:

Answer:

12,16,20,24,28,32,36,40 (continue to add 4)

Step-by-step explanation:

A function that represents the given sequence is f(n) = 4(2+n).

A sequence in which the difference between any two consecutive terms is the same is known as an arithmetic sequence.

Given that, Juan saves 12 in the first week of the year, and increases the amount each week by 4, therefore, the difference between the amount of any two consecutive weeks is 4.

Hence, it represents an arithmetic sequence with the first term a₁ = 12 and the common difference d = 4.

The nth term of an arithmetic sequence is given by:

aₙ = a₁ + (n-1)d

Substitute a₁ = 12 sand d = 4 into the above equation:

aₙ = 12 + (n-1)4

   = 12 +4n -4

   = 8 + 4n

   = 4(2+n)

Hence, a function that represents the given sequence is f(n) = 4(2+n).

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Answer:

Idioet duh it does.

Step-by-step explanation:

The sum of money that was  shared between the three friends is $8100

The ratio at which the money was shared = 7 : 9 : 11

Total ratio  = 7 + 9 + 11

Total ratio = 27

Amount received by Kerry-Ann = $3300

Let the total amount shared by the three friends be T

Amount received by Kerry-Ann = (11/27)  x  T

3300  =  11T / 27

11T  =  27(3300)

11T  =  89100

T   =  89100/11

T  =  8100

The sum of money that was  shared between the three friends is $8100

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Answer:

t = 17.5 f = 12

Step-by-step explanation:

If MNOP is a square, you know that each angle is going to be 90°. To solve, let's first set each equation equal to 90°:

[tex]90 = 4t + 20[/tex]

and

[tex]90 = 7f + 6[/tex]

Then solve both equations:

[tex]90 = 4t + 20 \\ 70 = 4t \\ 17.5 = t[/tex]

and

[tex]90 = 7f + 6 \\ 84 = 7f \\ 12 = f[/tex]

I hope that helps!

Answer:

it would be the last one

Step-by-step explanation:

lmk if you want an explanation

Answer:

x^2+y^2=4, yes, no, yes, no

Step-by-step explanation:

a) It's centered at the origin, which means that the equation is x^2+y^2=r^2, right? Then since point (0,2) is on the circle, its radius can be solved using Pythagoras theory, r=sqrt(0^2+2^2)=2, so the equation is x^2+y^2=4.

b) You plug the points into the equation and if the equation is true, they're on the circle. I'll give you an example of the first two.

([tex]\sqrt{3},1[/tex]): so x=[tex]\sqrt{3}[/tex], y=1. When you bring that into the equation you got in (a), it would be 3+1=4, which is true, which means that the point is on the circle.

(4,0): so x=4, y=0. When you bring that into the equation you got in (a), it would be 16+0=4, which is not true, which means the point isn't on the circle.

Answer:

3 6/7

Step-by-step explanation:

Absolute value is the distance a number is away from 0 on a number line; another way of thinking about absolute value is that it is the positive version of every number. So, the absolute value of -1 is 1, and the absolute value of 88 is 88. We can apply this rule to 3 6/7 - how far is it away from 0 on the number line? What is it as a positive number? Well it is 3 6/7 away from 0 on the number line, and it already is positive, so our final answer will be 3 6/7.

Hopefully that's helpful! :)

[tex]|3\frac{6}{7}|=3\frac{6}{7} =\frac{27}{7}[/tex]

ok done. thank to me :>

The equation of the line that is parallel to [tex]2\cdot x + 5\cdot y = 10[/tex] is [tex]y = -\frac{2}{5} \cdot x + 3[/tex] and the equation of the line that is perpendicular to [tex]4\cdot x + 3\cdot y =12[/tex] is [tex]y =\frac{3}{4}\cdot x - 1[/tex].

Let be a line whose equation is:

[tex]a\cdot x + b\cdot y = c[/tex] (1)

Whose explicit form is:

[tex]y = -\frac{a}{b} \cdot x +\frac{c}{b}[/tex] (2)

Where:

The slope and x-intercept of the line are [tex]-\frac{a}{b}[/tex] and [tex]\frac{c}{b}[/tex], respectively.

There are two facts:

Then, the equation of the line that is parallel to [tex]2\cdot x + 5\cdot y = 10[/tex] is [tex]y = -\frac{2}{5} \cdot x + 3[/tex] and the equation of the line that is perpendicular to [tex]4\cdot x + 3\cdot y =12[/tex] is [tex]y =\frac{3}{4}\cdot x - 1[/tex].

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Answer:

d. 2

Step-by-step explanation:

-2y +10+2y-8

10-8. ( -2y+2y = 0)

2

Answer:

d) 2

Step-by-step explanation:

We can first combine like terms

-2y + 2y = 0

Now, our expression is simply 10 - 8, which is 2

So, the answer is

d) 2

Answer:

y=150(x/2)

Step-by-step explanation:

y = 150(x/2)

y represents the amount of money that is deposited into Gabe's account. x represents the amount of time he is adding money for.

x is divided by 2 because however long gabe has been adding money into his account, he does it every 2 months. This means that if x = 12 (time = 12 months) , then Gabe has only made (12/2) = 6 deposits of $150. If x = 4 (time = 4 months), then Gabe would have only made (4/2) = 2 deposits of $150.

With this being said, 150 is being multiplied by the number of deposits (x/2) to find the total amount of money deposited (y).

Answer:

[tex]\huge\boxed{\sf 1 \ pound \ of \ dough = 1\frac{1}{5} \ cup \ of \ flour}[/tex]

Step-by-step explanation:

[tex]\displaystyle \underline{Given \ that:}\\\\\frac{5}{8} \ pound \ of \ dough = \frac{3}{4} \ cup\ of \ flour\\\\Multiply \ 8 \ to \ both \ sides\\\\5 \ pounds \ of \ dough = \frac{3}{4} \times 8 \ cup \ of \ flour\\\\5 \ pounds \ of \ dough = 3 \times 2 \ cup \ of \ flour\\\\5 \ pounds \ of \ dough = 6 \ cups \ of \ flour\\\\Divide \ both \ sides \ by \ 5\\\\1 \ pound \ of \ dough = \frac{6}{5} \ cup \ of \ flour\\\\\boxed{1 \ pound \ of \ dough = 1\frac{1}{5} \ cup \ of \ flour}\\\\[/tex]

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

inequality form: x<-7 or x> 17

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

17 squared minus 8 squared it is the pythagorean theorem but backwards. c squared minus b squared equals a squared. in this case a is b. 17 times 17 is 289 and then subtract 8 squared or 64 to get 225. then we need to find the squared root of 225 which is 15 and this is the answer

Answer:

511 / 1000

Step-by-step explanation:

0.511 = 511 / 1000

Answer:

Step-by-step explanation:

Steps to convert 0.511 into a fraction:  

Write 0.511 as 0.511/1

For each digit following the decimal point, multiply both the numerator and denominator by ten:

0.511/1

As an aside, the entire number-integral section is: blank.

The decimal component is as follows: 0.511 = 511/1000

The following is the complete breakdown of simple fractions: 511/1000

Answer:

20 which is twenty

Step-by-step explanation:

searched it up on chrome

Answer:

One pair of jeans will cost $31.50

Step-by-step explanation:

To find how much one pair of jeans will cost let's write an equation

where the cost of one pair of jeans is x

∴ 3×x=94.50

to find x we will divide both sides by 3

∴3÷3×x=94.50÷3

which makes the equation

∴x=31.50

meaning that one pair of jeans costs $31.50

Answer:

y = 3x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x - 5 ← is in slope- intercept form

with slope m = 3

Parallel lines have equal slopes , then

y = 3x + c ← is the partial equation

To find c substitute (- 2, - 7 ) into the partial equation

- 7 = - 6 + c ⇒ c = - 7 + 6 = - 1

y = 3x - 1 ← equation of parallel line

Answer:4(x+1)

Step-by-step explanation:

4x+1

Answer:

64

Step-by-step explanation:

P E D M A S

() ² ÷ × + -

6 x 8 = 48

114 + 48 = 192

(192) ÷ 3 = g

192 / 3 = 64

g = 64

Check the picture below.

The slope of the line represents that the remainder of the goal decrease by 8 for each card sold.

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the slope of the line and b is the y intercept.

The line passes through the point (1, 8) and (2, 16), hence:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-8=\frac{16-8}{2-1}(x-1)\\\\y=8x[/tex]

The equation of the line is given by y =8x

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Answer:

[tex]f(x)\longrightarrow-\infty[/tex], as [tex]x\longrightarrow+\infty[/tex]

Step-by-step explanation:

We can see that the larger the input, the smaller the output

1. First, he will be climbing 10,000 feet from where he is right now. 10,000 / 1,000 = 10.

-3.6 x 10 = 36 degree decrease.

25 - 36 = -11

At 12,000 feet, the temperature will be -11.

2.  First, we need to do 8.80 x 7 = 61.6

61.6 / 4 = 15.4

61.6 - 15.4 = 46.2

He has $26.20 left.

Hope this helps!

There is a probability of 77% that the mean of this sample is between 19.25 hours and 21.0 hours

Z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:

[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} } \\\\where\ x=raw\ score,\mu=mean,\sigma=standard\ deviation,n=sample\ size[/tex]

Given that μ = 20, σ = 7, n = 125.

For x = 19.25:

[tex]z=\frac{19.25-20}{7/\sqrt{125} } =-1.20\\\\\\For\ x=21:\\\\z=\frac{21-20}{7/\sqrt{125} } =0.62[/tex]

From the normal distribution table, P(-1.20 < z < 0.62) = P(z < 0.62) - P(z < -1.2) = 0.8849 - 0.1151 = 0.7698 = 77%

There is a probability of 77% that the mean of this sample is between 19.25 hours and 21.0 hours

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Answer:

  a) best form: (b)  f(x)= 1/2(x -3) (x -7)

  b) zeros: x=3, x=7

Step-by-step explanation:

The factored form most quickly tells you the zeros of the function. The zeros are the values of x that make the factors zero: the opposite of the binomial's constant.

  f(x)= 1/2(x -3)(x -7) reveals the zeros to be x=3 and x=7

Answer:

khan

Step-by-step explanation:

Answer:

R = 6%

Step-by-step explanation:

We know that

SI = A - P

SI = 3540 - 3000

SI = $540

R = 100 × SI/P × T

R = 100 × 540/3000 × 3

R = 54/9

R = 6%

S O L U T I O N:

Here we've been provided with the information i.e

And we are asked to calculate simple interest rate (R) = ?

The standard formula to calculate is given by,

[tex]:\Rrightarrow\sf{S.I. = A - P}[/tex]

[tex]:\Rrightarrow\sf{S.I. =3540 - 3000}[/tex]

[tex]:\Rrightarrow\sf{S.I. =540}[/tex]

[tex]:\Rrightarrow\sf{R = 100 \times \frac{S.I.}{P} \times t}[/tex]

[tex]:\Rrightarrow\sf{R = 100 \times \frac{540}{3000} \times 3}[/tex]

[tex]:\Rrightarrow\sf{R = \frac{54}{9} }[/tex]

[tex]:\Rrightarrow\sf{R = 6\%}[/tex]