Solve for x:

x + 18 = -37

Answer:

68

Step-by-step explanation:

Let:

Number of girls invited = x

Number of boys = x +20

3/4 of boy showed up

2/3 of girls showed up

Exactly 19 did not show up

Therefore, we could say:

Fraction of boys that didn't show up = 1 - 3/4 = 1/4

Fraction of girls that didn't show up = 1 - 2/3 = 1/3

That is,

[1/4 *(x + 20)] + [1/3*x] = 19

[(x + 20) / 4] + x /3 = 19

(3(x + 20) + 4x) / 12 = 19

3x + 60 + 4x = 228

7x = 228 - 60

7x = 168

x = 168 / 7

x = 24

Number of girls, x = 24

Number of boys, x + 20 = 24 + 20 = 44

Total friends invited = (24 + 44) = 68

Answer: The answer is $48.50

Answer: The answer is $52.00.

Step-by-step explanation:

Step 1: Find the Unit Rate

$32.50 divided by 5 = $6.50

Step 2: Find the Price for Babysitting for 8 Hours

$6.50 x 8 (hours) = $52.00

I hope this helps!

Answer:

Trapezoid A'B'C'D' is smaller than trapezoid ABCD because the scale factor is less than 1.

Step-by-step explanation:

Trapezoid A'B'C'D' is smaller than trapezoid ABCD because the scale factor is less than 1.

We have given that,Trapezoid ABCD is shown on the coordinate grid. Trapezoid ABCD is dilated with the origin as the center of dilation using the rule (x, y)→(0.4x, 0.4y) to create trapezoid A'B'C'D'.

We have to find the correct statement.

If the scale factor is greater than 1, the image is an enlargement (a stretch). If the scale factor is between 0 and 1, the image is a reduction (a shrink). If the scale factor is 1, the figure and the image are congruent.

Therefore from the given we can conclude that the statement,

If the scale factor is between 0 and 1, the image is a reduction

Therefore,Trapezoid A'B'C'D' is smaller than trapezoid ABCD because the scale factor is less than 1 is correct.

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Answer:

1 or 2      i think 2

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

Answer:

3:4

2.7:4

3.it represents the smiley faces and the total

Step-by-step explanation:

Answer:3cm

Step-by-step explanation:

Answer:

HABATARI TE RA. MOSHOMOTE Y DORITE TSUKANA SA DO RA AOI

Step-by-step explanation:

Answer:a

Step-by-step explanation:all the other ones are not smart

if u think about it

U can’t dived t and I so just do the one that doesn’t do that

Answer:

2/18

Step-by-step explanation:

Answer:

2/18

Step-by-step explanation:

2/1=2

2*9=18

2/18

Hope this helps. Have a nice day you amazing bean child.

Answer:

where is the graph

Step-by-step explanation:

Answer:

can you please add the link so we can see the graph options

Step-by-step explanation:

Answer:

30$ sales tax, 460$ Total

Step-by-step explanation:

7% of 430 is 30.1, after rounding it’s 30, and 430 plus 30 is 460.

You’re welcome

Answer:

.7

Step-by-step explanation:

I'm going to assume that there will just be one final payment at the end. I am also going to discard the fact that the loan was approved for 36 weeks becuase I don't know what to do with that information

I will be using the following formula

[tex]FV=PV(1+i)^n[/tex]

Plugging in the numbers we get

7388=7000(1+.08)^n

We we divide by 7,000 and simplify what we can to get

1.0554=1.08^n

We then write the following log

log(1.0554)/log(1.08)=n

Compute this and get n= .7

Answer:

976.80

Step-by-step explanation:

880 times 0.11 to find amount that it increased by added to the amount it was gives you 976.80

Answer:

132

Step-by-step explanation:

Answer:

f(x)=-2x+5

Step-by-step explanation:

The line shown in the graph is always decreasing at a constant rate, has a slope of -2, and has a y-intercept of 5.

So the parent function has been reflected across the x-axis (multiplied by -1), vertically stretched by a factor of 2 (multiplied by 2), and vertically translated up 5 units (5 added to it).

Therefore, the slope-intercept equation that represents this linear function is f(x)=-2x+5.

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of the given line is y=-2x+5.

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is the y-intercept.

The given line passes through two points with coordinates (0,5) and (1,3). Therefore, the slope and the y-intercept of the given equation of a line can be written as,

Slope, m = (5 - 3)/(0 - 1) = 2/-1 = -2

y-intercept, c = 5

Now, the equation of the line can be written as,

y = mx + c

y = -2x + 5

Hence, the equation of the given line is y=-2x+5.

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Answer:

2x-15+10x-25=180

2x-10x=180+15+25

-5x=220

=44

ı hope its true

Step-by-step explanation:

Answer:

The equation for the general term of the sequence is:

[tex]a_{n} = -6(-\frac{2}{3})^{n-1}[/tex]

The sequence converges to 0.

Step-by-step explanation:

First, we need to find the formula for the general term of the sequence, which is a geometric sequence, meaning that it has a common ratio, given by:

[tex]r = \frac{4}{-6} = \frac{-\frac{8}{3}}{4} = -\frac{2}{3}[/tex]

The equation of a geometric sequence has the following format:

[tex]a_{n} = a_{1}(r)^{n-1}[/tex]

In which [tex]a_{1}[/tex] is the first term.

In this question, we have that [tex]a_{1} = -6, r = -\frac{2}{3}[/tex]. So, the equation for the general term is:

[tex]a_{n} = a_{1}(r)^{n-1} = -6(-\frac{2}{3})^{n-1}[/tex]

To find if the sequence converges, we find the limit of [tex]a_{n}[/tex] as [tex]n \rightarrow \infty[/tex]. So

[tex]\lim_{n \rightarrow \infty} a_{n} = \lim_{n \rightarrow \infty} -6(-\frac{2}{3})^{n-1} = -6(-\frac{2}{3})^(\infty) = 0[/tex]

A number between 0 and 1 elevated to infinity tends to 0, so the sequence converges to zero.

The required nth term is [tex]a_n=a(-\frac{2}{3} )^n[/tex]

The Geometric series formula or the geometric sequence formula gives the sum of a finite geometric sequence.

Given that,

First Term=[tex]-6[/tex]

Common Ratio is,

[tex]\frac{4}{-6}=\frac{2}{-3} \\\frac{4}{\frac{-8}{3} }= \frac{2}{-3}[/tex]

So, the given sequence is in a geometric sequence.

So, the nth term of the given series is,

[tex]a_n=ar^{n-1}\\=-6(-\frac{2}{3} )^{n-1}\\a_n=a(-\frac{2}{3} )^n[/tex]

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Answer:

Step-by-step explanation:

1. Find the system for 2x+3y=5 and 3x+y=6 using substition.

I will solve your system by substitution.

(You can also solve this system by elimination.)

3x+y=6;2x+3y=5

Step: Solve3x+y=6for y:

3x+y+−3x=6+−3x(Add -3x to both sides)

y=−3x+6

Step: Substitute−3x+6foryin2x+3y=5:

2x+3y=5

2x+3(−3x+6)=5

−7x+18=5(Simplify both sides of the equation)

−7x+18+−18=5+−18(Add -18 to both sides)

−7x=−13 (Divide both sides by -7)

x=[tex]\frac{13}{7}[/tex]

Step: Substitute [tex]\frac{13}{7}[/tex] forxiny=−3x+6

y=−3x+6

y=−3([tex]\frac{13}{7}[/tex])+6

y=[tex]\frac{3}{7}[/tex]

2. Let's solve your system by elimination.

3x+y=6;2x+3y=5

Multiply the first equation by -3,and multiply the second equation by 1.

−3(3x+y=6)

1(2x+3y=5)

Becomes:

−9x−3y=−18

2x+3y=5

Add these equations to eliminate y:

−7x=−13

Then solve−7x=−13for x:

−7x=−13 (Divide both sides by -7)

x=[tex]\frac{13}{7}[/tex]

Now that we've found x let's plug it back in to solve for y.

Write down an original equation:

3x+y=6

Substitute[tex]\frac{13}{7}[/tex] forxin3x+y=6

3([tex]\frac{13}{7}[/tex])=6 (Simplify both sides of the equation)

y+39/7+−39/7=6+−39/7 (Add (-39)/7 to both sides)

y=[tex]\frac{3}{7}[/tex]

Answer:

The sequence diverges.

Step-by-step explanation:

A sequence [tex]a_{n}[/tex] converges when [tex]\lim_{n \rightarrow \infty} a_{n}[/tex] is a real number.

In this question, the sequence given is:

[tex]a_{n} = 4n\cos{(7n\pi)}[/tex]

The cosine is always going to be between -1 and 1, so for the convergence of the sequence, we look it as: [tex]a_{n} = 4n[/tex]. So

[tex]\lim_{n \rightarrow \infty} a_{n} = \lim_{n \rightarrow \infty} 4n = \infty[/tex]

Since the limit is not a real number, the sequence diverges.

Answer:

1,456

Step-by-step explanation:

x% * 10= 4 x = 40%

40% * 3,640 = 40/100 * 3,640 = 4*364 = 1,456

Answer: Step-by-step explanation:

21^2= 441

21*21=441

8^3 = 512

8*8*8= 512

Hope This Helps!!!

Answer:

Question 4.

21^2=441

Question 5

8^3=512

Step-by-step explanation:

21×21=441

8×8=64×8=512

Answer:

a=-4

Step-by-step explanation:

   6a+6=-18

         -6   -6

   6a=-24

  ___  ___

   6        6

a=-4

Answer: a=-4

Step-by-step explanation:

Subtract

from both sides of the equation

6+6=−18

6+6−6=−18−6

Simplify

Subtract the numbers

Subtract the numbers

6=−24

Divide both sides of the equation by the same term

6=−24

66=−246

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=−4

Answer:

She read 3/8 more on Tuesday than on Monday

Step-by-step explanation:

1/2-1/8

I hope this helps...

Answer:

X = 1/4k

Step-by-step explanation:

Answer:

300π or 942.477796077 cubic feet

Step-by-step explanation:

25π*12=300π

The approximate volume of the given cylinder is 942.48 ft³.

The volume of the cylinder is the density which signifies the amount of substance it can hold.

Mathematically,

                        V = πr²h

where, r is the radius of the cylinder

and h is the height of the cylinder.

It is given that,

Height h of the cylinder = 12 ft

Diameter d of the cylinder = 10 ft

⇒ Radius r = d/2

⇒ r = 10/2

⇒ r = 5 ft

Now, Volume of the cylinder V = πr²h

Putting the values of r and h of given cylinder. We get,

⇒ V = 3.14 × (5 ft)² × 12ft

⇒ V = 3.14 × 25 ft² × 12 ft

⇒ V = 3.14 × 300 ft³

⇒ V ≈ 942.48 ft³

The approximate volume of the given cylinder is 942.48 ft³.

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5 and 11 are the only prime number here so I am not sure I am answering your question, sorry if this is not right or you can explain what it is asking so I can help you better.

Hope this helps :)

Answer:

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

Step-by-step explanation:

To find the answer of this equation, you would use the law of sine

so... (18)/sin(90)= (x)/sin(45)

to find for the length of one side simply isolate for x.

Because sin(90) equals 1, you just have to multiply 18 by sin(45) which equals [tex]\sqrt{2}[/tex]/2

so x= 9[tex]\sqrt{2}[/tex]