Mr. Martin currently makes 25,000 per year and gets a 5% raise on
his salary each year.
Which equation models the growth of his salary?

Answer:

Step-by-step explanation:

Answer:

A+B=B+A

B+0=B

E-C=E+(-C)

Step-by-step explanation:

Answer:

A) A+B = B+A

C) B+0= B

D) E-C= E+(-C)

Step-by-step explanation:

Answer:

4th option is the correct answer

35 inches

Step-by-step Explanation:

[tex]w = 4 \frac{3}{8} = \frac{35}{8} \: in \\ \\ l = 3 \times \frac{35}{8} = \frac{105}{8} \: in \\ \\ perimeter \: of \: rectangle \\ = 2\bigg(l + w \bigg) \\ \\ = 2\bigg( \frac{105}{8}+ \frac{35}{8} \bigg) \\ \\ = 2 \times \frac{140}{8} \\ \\ = \frac{140}{4} \\ \\perimeter \: of \: rectangle = 35 \: in[/tex]

Answer:

41 degrees to the nearest degree.

Step-by-step explanation:

A line drawn from the vertex and bisecting the base forms 2 right triangles.

The base of one right triangle = 1/2 * 12 = 6 m.

So cos A = adjacent side /hypotenuse   where A is the angle of inclination.

cos A=  6 / 8 = 0.75

m < A = 41.41 degrees.

Answer:

5/23

Step-by-step explanation:

if you turn "3 8/5" into a mixed number you would get 23/5 then you would flip the numbers to get 5/23

Hope this helps!!! :)

Answer:

2 1/4

Step-by-step explanation:

=−514+712

Rewriting our equation with parts separated

=−5−14+7+12

Solving the whole number parts

−5+7=2

Solving the fraction parts

−14+12=?

Find the LCD of 1/4 and 1/2 and rewrite to solve with the equivalent fractions.

LCD = 4

−14+24=14

Combining the whole and fraction parts

2+14=214

Answer:

65 shirts.

Step-by-step explanation:

50 is the amount of shirts sold in February.

30% increase=1.3

1.3(50)

65

They need to sell 65 shirts in March to get the bonus.

Answer:6

Step-by-step explanation:

Answer:

Here is the answer mate.....

Step-by-step explanation:

2 root 2 minus root 2 is equal to 0.

If you have question why then follow these steps....

√2-2

√0

anything root o means 0..

so, the answer is zero...

Hope it helps ☺️

Answer:

1764 ways

Step-by-step explanation:

Given:

Men = 9

Women = 7

Required Men: 3

Required Women: 2

'

Required

Total Possible Outcome

The total possible outcome can be determine as follows;

Total = (Selection of Men) and (Selection of Women)

Calculating Selection of Men;

Let n represent total number of men; This implies that n = 9;

Let r represent number of men to select; This implies that r = 3;

The selection can be done in the following ways;

[tex]Male = nCr[/tex]

Where [tex]nCr = \frac{n!}{r!(n-r)!}[/tex]

[tex]Male = 9C3[/tex]

[tex]Male = \frac{9!}{3!(9-3)!}[/tex]

[tex]Male = \frac{9!}{3!(6)!}[/tex]

[tex]Male = \frac{9 * 8 * 7 * 6!}{3!6!}[/tex]

[tex]Male = \frac{9 * 8 * 7}{3!}[/tex]

[tex]Male = \frac{9 * 8 * 7}{3*2*1}[/tex]

[tex]Male = 84 ways[/tex]

Calculating Selection of Women;

Let n represent total number of men; This implies that n = 7;

Let r represent number of men to select; This implies that r = 2;

The selection can be done in the following ways;

[tex]Female = nCr[/tex]

Where [tex]nCr = \frac{n!}{r!(n-r)!}[/tex]

[tex]Female = 7C2[/tex]

[tex]Female = \frac{7!}{2!(7-2)!}}[/tex]

[tex]Female = \frac{7!}{2!(5)!}[/tex]

[tex]Female = \frac{7 * 6 * 5!}{2!5!}[/tex]

[tex]Female = \frac{7 * 6}{2!}[/tex]

[tex]Female = \frac{42}{2*1}[/tex]

[tex]Female = 21 ways[/tex]

Recall that

Total = (Selection of Men) and (Selection of Women)

Hence,

[tex]Total = 84 * 21[/tex]

[tex]Total = 1764 ways[/tex]

Answer:

11 grams of drink mix per ounce of water

Step-by-step explanation:

I converted both numbers to decimals to get 19.25 and 1.75, then divided the amount of drink mix by the amount of water.

Answer:

11 gm mix : 1 ounce water

Step-by-step explanation:

We find 1/7 of 19.75gm  = 2.75

Then we multiply by 4 = 11

We have found our ounce rate to be 11 gm : 1 ounce water

Answer:

A, D, C, B.

5/9, 3/5, 2/3, 3/4.

Step-by-step explanation:

Covert to decimals:

5/9 = 0.555...

3/4 = 0.75

2/3 = 0.666...

3/5 = 0.6

So it is  5/9, 3/5, 2/3, 3/4.

Answer:

A≈896.81

Step-by-step explanation:

This is an approximate answer. Use the formula SA = pi, radius, slant height + pi, radius squared. Plug it in in PEMDAS order.

P.S. SOmeone please tell me if this is wrong I will fix it. Thanks!

Answer:

30 3/8 pounds of shortening used.

Step-by-step explanation:

20 1/2 + 29 3/4 +18 1/8 + 16 + 5 1/4 = 89.625

120- 89.625 = 30.375 pounds

0.375 as a fraction = 3/8 + 30

Therefore the total shortening used = 30 3/8 pounds

How many pounds of shortening are used in this cake mix is maximum figure as we found exact 0.375

We can do this by multiplying the 0.375 x 2 = 0.750  = 3/4

Then counteracting 4 = 1 to 8 = 1 and keeping the top fraction.

1/2 of 3/4 = 3/8

3/8 x 2 = 0.75

0.75 /2 = 0.375

Answer:

first is square and second in not rectangle I think it is trapezium

Answer:

1. 4

2. -4

3. -4

Step-by-step explanation:

Let's look carefully at each problem and explain it.

1. (-2)^2

This means find the square of the number -2. Since the square of a number means multiplying the number by itself, then

(-2)^2 means the product (-2) * (-2),

and since the product of two negative numbers is positive, then

(-2)^2 = (-2) * (-2) = 4

Answer is 4.

2. -2^2

Here, the exponent applies only to the 2, not to -2. This problem means square 2 and then take the opposite of the product. This can be written as

-(2^2)

-2^2 = -(2^2) = -(2 * 2) = -(4) = -4

Answer is -4.

3. -(2)^2

This is the same as problem 2 above. You square the 2 first, then take its negative.

-(2)^2 = -(2^2) = -(2 * 2) = -(4) = -4

Answer is -4

Answer:

B. 10

Step-by-step explanation:

The median is the middle number, so to find it, we must list the numbers from smallest to largest :

5, 5, 8, 11, 15, 21, 27, 34, 55

The median is 15

The mode is what number occurs most often, which is 5.

The difference will be found by subtracting 5 from 15:

15-5=10

Answer:

10

Step-by-step explanation: you have to find the median number and subtract by 5

5,5,8,11,15,21,27,5

also the median is middle number subtract by 5 because it want the difference number of electoral votes per state

15-5=10

Answer:

i) x= -0.25, x=1.25

ii)x=1.5, x= -0.5     (notice the negative signs)

Step-by-step explanation:

So, to simply solve this(or estimate), notice what the equations say at the end of them!

0 and 2, and also notice the equations are exactly the same as the graph's.

This means, by substitution, we are look for the x-values at y=0, and at y=2

(because they are exactly the same, in those instances, we can just replace the equation with the value of 0, or 2 because they are equal)

Then all we have to do is imagine the lines of y=0(x-axis) and y=2, and find where the parabola intersects those lines.

And so, just find where they intersect, and you have got it!

Hope this helps!

Answer:

4y-18

Step-by-step explanation:

2(2y)+2(-5)-8

4y-10-8

4y-18

Hope this helps!

Answer:

2x2y - 2x5 -8

4y - 10 -8

4y -18

Answer:

Center [tex]= (0,0)[/tex]

Vertices  [tex]=(-\sqrt{7},0)\text{ and }(\sqrt{7},0)[/tex]

Foci [tex]=(-2,0)\text{ and }(2,0)[/tex].

Step-by-step explanation:

The standard form of an ellipse is

[tex]\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1[/tex]    ...(1)

where, a>b, (0,0) is center, (±a,0) are vertices and (±c,0) are foci.

[tex]c=\sqrt{a^2-b^2}[/tex]

The given equation of ellipse is

[tex]3x^2+7y^2=21[/tex]

Divide both sides by 21.

[tex]\dfrac{3x^2+7y^2}{21}=\dfrac{21}{21}[/tex]

[tex]\dfrac{x^2}{7}+\dfrac{y^2}{3}=1[/tex]    ...(2)

On comparing (1) and (2), we get

[tex]a^2=7,b^2=3[/tex]

[tex]a=\sqrt{7},b=\sqrt{3}[/tex]

Now,

[tex]c=\sqrt{a^2-b^2}=\sqrt{7-3}=\sqrt{4}=2[/tex]

Therefore,

Center [tex]= (0,0)[/tex]

Vertices [tex]=(\pm a,0)=(\pm \sqrt{7},0}=(-\sqrt{7},0)\text{ and }(\sqrt{7},0)[/tex]

Foci [tex]=(\pm c, 0)=(\pm 2,0)=(-2,0)\text{ and }(2,0)[/tex].

Answer: The cost to buy all the paint he needs = [tex]\pounds \ 176.70\ .[/tex]

Step-by-step explanation:

Formula: Area of trapezium = [tex]\dfrac{1}{2}(a+b)h[/tex], where a and b are the parallel sides and h is the height.

From the given figure of trapezium, we have

a = 10 m

b = 16 m

h = 7.6 m

Then, area of trapezium floor = [tex]\dfrac{1}{2}(10+16)(7.6)=\dfrac{1}{2}(26)(7.6)=98.8\ m^2[/tex]

Also, 1 litre paint is required to paint and area of [tex]1.9\ m^2[/tex].

Then, the amount of paint required to paint [tex]98.8\ m^2[/tex] area = [tex](98.8\ m^2)\div(1.9\ m^2)[/tex]

[tex]= 52[/tex] litres

Since cost if 5 litres of paint = [tex]\pounds\ 16.99[/tex]

then cost of 1 liter paint = [tex]\pounds \dfrac{16.99}{ 5}=\pounds 3.398[/tex]

Then, cost of 52 litres of paint = [tex]52\times3.398=\pounds \ 176.696\approx\pounds\ 176.70[/tex]

Hence, the cost to buy all the paint he needs = [tex]\pounds \ 176.70\ .[/tex]

1/7 as a decimal is 0.1428571429

But if you round that to the nearest 2 decimal place it is 0.14

I really hope this helps.

Answer:

Step-by-step explanation:

From Rule 6: Jennie is at Seat 4 and next to Harvey; and by rule 1 (Harvey has a higher seat number than Jennie)

From Rule 2:  Peter is across from Harvey.

Since Seat 5 is across from Seat 1

From Rule 7: Peter is next to Lia.

Therefore, Lia can either be in Seat 2 or Seat 8, but by Rule 3 (Neither Joyce nor Lia is in seat 8), therefore, Lia is in Seat 2.

By Rule 5: Lia is next to Kenny, therefore:

From Rule 4: Rick is across from Kenny, and Rick is also next to Joyce.

Seat 7 is across from Seat 3, therefore:

Since Rick is also next to Joyce (and by Rule 3, Joyce cannot be on Seat 8)

Therefore, we have:

Seat 1: Peter

Seat 2: Lia

Seat 3: Kenny

Seat 4: Jennie

Seat 5: Harvey

Seat 6: Joyce

Seat 7: Rick

Since Mark has the remaining seat, Mark is on Seat 8.

Answer:

1

Step-by-step explanation:

-3a+4 =7

-4. _4

-3a=3

divide by -3 on both sides

a=-1

3+4=7

Answer:

a= [tex]-3\frac{2}{3}[/tex] or ≈ -3.66

Step-by-step explanation:

-(3a+4)=7

-3a-4=7

Add 4 to both sides

-3a=11

Multiply both sides by -1

3a= -11

Divide both sides by 3

a= [tex]-3\frac{2}{3}[/tex]

Answer:

The diameter of Cell B is [tex]4.14 \times 10^{-7} mm[/tex] longer than Cell A

Step-by-step explanation:

Diameter of Cell A = [tex]5.8 \times 10^{-9} mm[/tex]

Diameter of Cell B = [tex]4.2 \times 10^{-7} mm[/tex]

Now we are supposed to find How much longer is the diameter of Cell B than Cell A?

So,Diameter of Cell A =[tex]5.8 \times 10^{-9} = 5.8 \times 10^{-7} \times 10^{-2}=5.8 \times 10^{-7} \times \frac{1}{10^2} = 0.058 \times 10^{-7}[/tex]

Diameter of Cell B = [tex]4.2 \times 10^{-7} mm[/tex]

So, Difference in diameters = [tex]4.2 \times 10^{-7} - (0.058 \times 10^{-7})=4.14 \times 10^{-7}[/tex]

So, Option C is true

Hence the diameter of Cell B is [tex]4.14 \times 10^{-7} mm[/tex] longer than Cell A

Answer:

27.4

Step-by-step explanation:

The sum of the angles of a triangle is 180 degrees

x+ 34.6+118 = 180

Combine like terms

x+152.6 = 180

Subtract 152.6 from each side

x +152.6-152.6 = 180-152.6

x =27.4

_________________________________

Solution,

x+118+34.6=180°( sum of angle in traingle)

or,x+152.6=180

or,X=180-152.6

X=27.4

The value of X is 27.4 °

hope it helps

Good luck on your assignment

_________________________________

Answer:

$163

Step-by-step explanation:

Happily, they've given us the equation already.

280 + 5(–5) + (–42) + 2(75) + (–200)

280 - 25 - 42 + 150 - 200

Keep in mind your negative signs!

280 - 67 + 150 - 200

280 - 67 - 50

213 - 50

= $163

This can all be done on the calculator, but it can also be done mentally or written out, as I've done.

Answer:

Crystal had a balance of $163 at the end of the week

Step-by-step explanation:

hope this helped pls give brainliest!

Answer:

maximum point: (0, 4)

x-intercepts: (2, 0), (-2, 0)

y-intercepts: (0, 4)

Answer:

Horizontal

Step-by-step explanation:

Answer:

1- vertical

2-horizontal

Step-by-step explanation:

Read the defitions! Hope this helped!