7. Francis made 7 withdrawals of
$75 each from his bank account.
What was the overall change in
his account?

Answer:

y = − 3 x + 9

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

3 • 1/3 = 1

~Turn the whole number into a fraction

3/1 * 1/3 = 1

~Multiply

3/3 = 1

~Simplify

1 = 1

Best of Luck!

Answer:

x= 4.3125

Step-by-step explanation:

Answer:

x=4+7i and x=4-7i

Step-by-step explanation:

Rewrite the given quadratic equation by completing the square.

x^2-8x=-65

x^2-8x+16=-65+16

x^2-8x+16=-49

(x-4)^2=-49

Now, solve the equation by applying the square root property and isolating x.

(x-4)^2=-49

√(x-4)^2 = √-49

x-4=+7i

x=4+7i

So, the solutions to the given quadratic equation are x+4+7i and x=4-7i.

Answer:

[tex] y = -\frac{4}{3}x + 4 [/tex]

Step-by-step explanation:

Use the slope-intercept form to write the equation if the line of the graph given.

[tex] y = mx + b [/tex], where,

b = y-intercept, which is where the line cuts across the y-axis = 4.

m = slope = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 - 4}{3 - 0} = \frac{-4}{3} [/tex]

Substitute m = ⁴/3 and b = 4, into the slope-intercept formula to get the equation of the line:

[tex] y = mx + b [/tex]

[tex] y = -\frac{4}{3}x + 4 [/tex]

Answer:

2 x 2 x 2 x 2 x 3.

Step-by-step explanation:

The number 48 expressed as a product of its prime factors is 2 x 2 x 2 x 2 x 3.

Answer:

2 x 2 x 2 x 2 x 3.

Step-by-step explanation:

^^^

The number of fishing bait he can buy will be 16.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that Chompy has $25 to purchase a fishing pole and some fishing bait. The fishing pole costs $12.50 and the fishing bait costs $0.78 each.

The expression will be formed as below:-Let the number of fishing bait is x.

12.50 + 0.78x = 25

0.78x = 25 - 12.5

0.78x = 12.5

x = 12.5 / 0.78

x = 16

Therefore, the number of fishing bait he can buy will be 16.

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Answer:

20 people

Step-by-step explanation:

Step 1:

14/42 = x/60     Equation

Step 2:

42x = 840     Multiply

Step 3:

x = 840 ÷ 42     Divide

Answer:

x = 20

Hope This Helps :)

Answer:

20 people

42/14=3

Then, you divide 60/3=20 people

Last year the chess club had 30 members. This year the club has 24 members.

Last year, the chess club had 30 members. This year, the club has 24 members. Since this year had less than last year ( 30 > 24), the percent will be decreasing.

To find the percent decrease, you have to use the following formula.

[tex]\frac{Difference}{Original} \times 100[/tex]

Difference refers to the difference between the two numbers, 24 and 30. The difference between 24 and 30 is 6. Original refers to the original number, which is last year's amount of members in the chess group. Therefore, original = 30.

Substitute the numbers into the formula.

[tex]\frac{Difference}{Original} =\frac{6}{30} =0.2[/tex]

To convert the decimal to a fraction, multiply the decimal by 100.

[tex]0.2 \times 100 = 20 \%[/tex]

The answer is the number of chess members decreased by 20%.

____

Since I started off by identifying whether it was decreasing or increasing, I did the work a bit differently. When finding the difference, you would usually subtract 30 from 24, which results in -6. Above I used 6, but if you used -6, you would end up with a result of -20%, which means it decreased by 20%. They bot end up with the same result, but you don't always have to first identify whether it's decreasing or increasing.

____

Answer:

Decreasing

Step-by-step explanation:

The percentages are decreasing because one year the club had 30 members and the present year has 24 members that decreased by 6!

Answer:

Need a calculator

Step-by-step explanation:

This will be hard to explain without the ability to draw an example.

The one thing you can memorize is SOH - CAH - TOA

This stands for SIN(Opposite/Hypotenuse), COS(Adjacent/Hypotenuse) and TAN(Opposite/Adjacent).

When you know the angles of a right triangle and at least one side length, you can get the length of all the sides.

So a right triangle has two legs (sides) and the hypotenuse.  If you use the first angle ( 30 degrees)  you can use the formulas above to calculate the side length.

Pick either the SOH or the CAH.  Let's use SOH and write out the equation:

SIN(30 degrees) = Opposite Side divided by the Hypotenuse (11mm)

You can solve for the Opposite Side by multiplying both sides of the equal sign with 11mm.    You end up with SIN(30 degrees) X 11m = Opposite Side.

So the side directly across from the 30 degree angle should be 5.5mm

You can do the exact same thing with the 60 degree angle.

SIN(60 degrees) = Opposite Side divided by Hypotenuse (11mm)   OR

SIN(60 degrees) X 11mm = Opposite Side

This comes out to about 9.5mm

You can check the math by using the other equation CAH

Start with the 30 degree angle and solve for the adjacent side.  This is the side that is touching the 30 degree angle.  Equation will be

COS(30 degrees) X 11mm = Adjacent Side  or  about 9.5mm

The other equation will give you the side that is touching the 60 degree angle.

COS(60 degrees)  X 11mm = Adjacent Side or  5.5mm

You can also use one last thing to check your math.  The Pathagorean Theorem says in a right triangle  [tex]A^{2}[/tex] + [tex]B^{2}[/tex] = [tex]C^{2}[/tex] where C is the hypotenuse and A and B are the two sides.

[tex]5.5^{2}[/tex]  +  [tex]9.5^{2}[/tex]  should equal  [tex]11^{2}[/tex].  Give or take a few decimal places, it's almost exactly 11 (10.977 to be exact).

Answer:

Step-by-step explanation:

If Ms. Smith hands out 130 of her stickers between all 5 of her students each will have 26. Which means she will have 2 remaining

Answer:

5/1

Step-by-step explanation:

Answer:

Angle 2

Step-by-step explanation:

Suplementary - 2 angles which equal 180 degrees

Answer:

45

Step-by-step explanation:

45/5=9

Answer:

I need more information for the first graph but I can answer the second one:

So for the X column on the SECOND graph, it should be: 5,6,9,14,15,18,20,24,25

And for the Y column it should be: 25,30,45,70,75,90,100,120,125

Step-by-step explanation:

It is a Pattern the pattern is Multiplying 5

Answer:

357

Step-by-step explanation:

Pls mark brainliest :)

Answer:

A. An exterior angle of a triangle can equal one of the interior angles of the triangle.

Step-by-step explanation:

The triangle can have more than one exterior angles that can be acute or obtuse angles since the triangles angles must sum to 180 degrees. The exterior angle of a triangle is equal to the sum of the interior angles of the triangle.

the answer is 240 seconds :)

give the other person brainliest

Answer:

My age is 38 years old

My son is 11 years old

Step-by-step explanation:

Represent my current age with x and my son's current age with y

Two years ago;

[tex]x - 2 = 4 * (y - 2)[/tex]

Eight years ago:

[tex]x - 8 = 10 * (y - 8)[/tex]

Simplify both expressions

[tex]x - 2 = 4 * (y - 2)[/tex]

[tex]x - 2 = 4y - 8[/tex]

Add 2 to both sides

[tex]x - 2 +2= 4y - 8 + 2[/tex]

[tex]x = 4y - 6[/tex]

Substitute 4y - 6 in the second equation

[tex]x - 8 = 10 * (y - 8)[/tex]

[tex]4y - 6 - 8 = 10 * (y - 8)[/tex]

[tex]4y - 14 = 10y - 80[/tex]

Collect Like Terms

[tex]4y - 10y = 14 - 80[/tex]

[tex]-6y = -66[/tex]

Divide through by -6

[tex]y = 11[/tex]

Substitute 11 for y in [tex]x = 4y - 6[/tex]

[tex]x = 4 * 11 - 6[/tex]

[tex]x = 44 - 6[/tex]

[tex]x = 38[/tex]

Answer:

A) 25

Step-by-step explanation:

You use x= -b/2a in order to get your maximum so x= -10/ 2(-5) and you get x=1. You plug 1 into the function as h(1)=-5(1)^2 + 10(1)+ 20 which gets you 25

A function assigns the values. The time it will take for the rocket in the air before it reached its highest height is 1 second.

A function assigns the value of each element of one set to the other specific element of another set.

A.) The maximum height of the rocket can be found by differentiating the function to get the maximum value of the height funciton.

dh/dt = -5(2t) + 10

Substitute the differentiated value with 0,

0 = -10t + 10

-10t = -10

t = 1

Therefore, the maximum height will be attained when the time is 1 second.

Now, substitute the value of t as 1 second to get the maximum height,

h(t) =- 5t²+ 10t+ 20

h(1) =- 5(1)² + 10(1)+ 20

h(1) = -5 + 10 +20

h = 25 yards

Hence, the maximum height of the rocket is 25 yards.

B.) The time it will take for the rocket in the air before it reached its highest height is 1 second.

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2(2x - 8) should be Gina's expression as it is not equivalent to 4x - 8.

A linear equation is an algebraic equation of degree one. In general, the variable or the variables(in the case of a linear equation in two variables) the variables are x and y.

Given, Steven and Gina each wrote an expression, but only Steven’s expression is equivalent to 4x - 8.

∴ Gina's expressions should be the one that is not equivalent to  4x - 8.

After observing the given options and applying distributive properties we conclude that 2(2x - 8) is Gina's expression as it is 4x - 16.

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Answer:

-2, 4, 6, 8

6, 4, 2 ,0

Answer:

100% of earth is covered in earth, I'm starting to think you mistyped the question, cause it makes no sense

Answer:

v=30

Step-by-step explanation:

100/90 = 1.1

1.1 times 27 is 30

Answer:

V = 30

Step-by-step explanation:

[tex] \frac{27}{90} = \frac{v}{100} \\ \\ cross \: multiply \: \\ \\ \\ 27 \times 100 = 90 \times v \\ \\ 2700 = 90v \\ \\ 30 = v[/tex]

Answer:

i am very sure but i think this the answer

Step-by-step explanation:

 3x • (2x - 1)

Answer: I did the test i used this and i got it right trust me the answer is below good luck

Step-by-step explanation:

Renee has it right because one of the line passes through the origin the questions remain the same a more extensive version of Y=mx is y=mx +b.

Answer:

b

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

x=8

Step-by-step explanation:

x+x+x=24

3x=24

x=24÷3

x=8

Answer:

Sam has to get at least a 96 in order to pass the class with a B.

Step-by-step explanation:

To find this you use mean in this format:

Test Scores + x (Exam Grade Needed) / # of Tests ≥ 80 (Which Is a B)

Substitute:

82 + 70 + 72 + 80 + x / 5 ≥ 80

Add:

304 + x / 5 ≥ 80

Get Rid of the Denominator (Multiply Both Sides By 5):

(5) 304 + x / 5 ≥ 80 (5)

Multiply:

304 + x ≥ 400

Isolate x (Subtract 304 From Both Sides):

x ≥ 96

This means that Sam has to get at least (Greater than or equal to) a 96 in order to pass with a B average.