the equation in slope-intercept form

5. Simple multiplication: 12 * 4 = 48 books in total

6. Simple multiplication: 29 * 4 = 116 cards in total

7. You could turn 5 * 198 into (5 * 200) - (5 * 10) using the Distributive Property and use mental math to solve

8. subtraction, multiplication

9. Simple multiplication: 5 * 78 = $3.90, so C

To make an equation into slope intercept form, Y must have no coefficient.

So to solve

[tex]3y + 5x = -15\\3y = -5x-15\\y = -\frac{5}{3}x-3[/tex]

Answer:

I think it is Option C

Because if you do it then you get it XD

it is -6

-3x2=-6

do 3x2 (6) but add the negative after

Using multiplication operation, the value of -3 * 2, which is the product of -3 and 2 is: -6.

To calculate -3 × 2, you multiply the two numbers together using the standard multiplication operation.

-3: This is a negative constant, representing the number -3.

×: This symbol represents the multiplication operation.

2: This is a positive constant, representing the number 2.

Now, perform the multiplication:

-3 × 2 = -6

So, -3 × 2 equals -6. The result is a negative number because when you multiply a negative number (-3) by a positive number (2), the product is negative.

Learn more about multiplication operation on:

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Answer:

[tex]\frac{1}{5} -12=-7[/tex]

The bear lost an average of 8.6 pounds per month during hibernation. This was calculated by dividing the total weight loss (64.4 pounds) by the total duration of hibernation (7.5 months).

The student's question pertains to determining an average over a period of time. In this case, the black bear's average weight loss per month during hibernation. Given that the bear lost a total of 64.4 pounds in 7 1/2 or 7.5 months, we find the average by dividing the total weight loss by the total months. So, 64.4 pounds ÷ 7.5 months = approximately 8.59 pounds. When rounded to the nearest tenth, the black bear lost an average of 8.6 pounds per month during hibernation.

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Answer:

z = 131

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

Identify

z - 49 - 13 = 59

Step 2: Solve for z

Answer:

[tex] \small \sf \: z = \fbox{121}[/tex]

Step-by-step explanation:

z - 49 - 13 = 59

We need to find z.

solve for z

z - 49 - 13 = 59

z - 62 = 59

z - 62 + 62 = 59 + 62

z = 59 + 62

z = 121

5.34, because the 3 is in the tenths place

To find the largest number among 5.034, 5.34, and 5.043, let's compare these numbers one-by-one:

1. First, we compare 5.034 and 5.34. Since 0.34 is larger than 0.034, therefore, 5.34 is larger than 5.034.

2. Next, we need to compare this larger number (5.34) with the remaining number 5.043. Here, 0.34 is also larger than 0.043.

So, after these comparisons, we see that 5.34 turns out to be the largest number among the three numbers 5.034, 5.34, and 5.043.

$100 worth of groceries.

The slope is the factor in front of x, so slope is 9.

The y intercept is 7 (that's the point of cross the y axis, where x=0)

There are multiple definitions of "standard form" for lines, so here are the two i can think of:

9x - y = -7    (the implicit function form)

or

y-7 = 9*(x-0)  (the point-slope form)

Lmk if you have questions.

The answer is B.

To find the answer you can immediately cross out A and C. You're left with a mixture of ingredients that turn into a cake or choclate melting. Chocolate melting is a physical change so by using the process of elimination you can conclude that B is the correct answer.

Answer:

The correct answer is option B.

Step-by-step explanation:

We call chemical change to the process where two or more substances are transformed into other substances.

During this change, the substances will have a modification in the structure of their molecules and their bonds.

In the case of the example we can see how different substances (flour, sugar, eggs and butter) will change the shape of their structure to form another substance: the cake. This cake will receive the name of product.

Given this information, we can say that the correct answer is option B.

480

This is this awnser because its 120 a second, for 4 seconds so 4 times 120 = 480.

Well the equation is rate*time=work/distance(in this case total vibrations)

Now we plug in the numbers:

(we know that 120 times per second is the rate because it uses the word per)

(4 seconds is the time because the unit is just seconds)

12*4=48*10=480

120*4=480

The answer is 480 vibrations

Hope this helps :)

4x6-24/4

24-24/4

24-6

Answer: 18

a. 2x+3x-6=10+4x

5x-6=10+4x

5x-4x=10+6

x=16

one solution

b. 17+5x=23+4x-6+x

17+5x=17+5x

infinite number of solutions

c. 7x+4=5x+8+2x-10

7x+4=7x-2

no solution

(a) 2x + 3x - 6 = 10 + 4x  ---> Answer: x = 16, it has one solution, it is an identity.

Adding the like terms on the same side of the equation to solve for x:

2x + 3x - 4x = 10 + 6

x = 16

(b) 17 + 5x = 23 + 4x - 6 + x ---> Answer: it has infinite number of solutions, it is a contradiction

Adding the like terms on the same side of the equation to solve for x:

5x - 4x - x = 23 - 17 - 6

5x - 5x = 6 - 6 (this equation is cancelling everything on each side so it can not be true no matter what value we assign, therefore it has infinite number of solution)

(c) 7x + 4 = 5x + 8 + 2x - 10 ---> Answer: no solution, its a contradiction.

Adding the like terms on the same side of the equation to solve for x:

7x - 5x - 2x = -10 + 8 - 4

7x - 7x = -6 (the terms of x are cancelled by each other, therefore no solution.

Let Total = t, adult tickets = a, children's ticket = c, total cost = T

t = a + c

T = 8a + 5.50c

is your system equation.

hope this helps

Answer:

The florist should make 9 Easter bouquet and 6 Spring bouquet to maximize the profit.

Step-by-step explanation:

Suppose, the number of the Easter bouquet is [tex]x[/tex] and the number of Spring bouquet is [tex]y[/tex].

The Easter bouquet requires 10 jonquils and 20 daisies, and the Spring bouquet requires 5 jonquils and 20 daisies.

So, the total number of jonquils required [tex]=10x+5y[/tex]

and the total number of daisies required [tex]=20x+20y[/tex]

Given that, there are total 120 jonquils and 300 daisies are available. So, the constraints will be........

[tex]10x+5y\leq 120;\\ \\ 20x+20y\leq 300;\\ \\ x\geq 0; y\geq 0[/tex]

(As the number of each type of bouquet can't be negative)

Now, each Easter bouquet produces a profit of $1.50 and each Spring bouquet produces a profit of $1. So, the profit function will be:  [tex]P=1.50x+1y[/tex]

If we graph the constraints now, then the vertices of the common shaded region are:      [tex](0,0), (12,0), (9,6)[/tex] and [tex](0,15)[/tex]

For (0, 0) ⇒  [tex]P=1.50(0)+1(0)=0[/tex]

For (12, 0) ⇒  [tex]P=1.50(12)+1(0)=18[/tex]

For (9, 6) ⇒  [tex]P=1.50(9)+1(6)=13.50+6= 19.50[/tex]

For (0, 15) ⇒  [tex]P=1.50(0)+1(15)=15[/tex]

So, the profit will be maximum when  [tex]x=9[/tex] and [tex]y=6[/tex]

Thus, the florist should make 9 Easter bouquet and 6 Spring bouquet to maximize the profit.

The answer is D Because -0.16 + 0.53 = 0.37

If 13% of 100 is 13, than 13% of 100 million is 13 million. And multiplying two on both sides, we get that 13% of 200 million is 26 million. If we take it the other way, we get that 13% of 50 million is 6.5 million. As 6.5 million + 25 million is 31.5 million, this is our answer.

your answer is 32,500,000

1. Make the equation. The product of the number and 6 equals the sum of the number and 45, so the equation would be 6x = x + 45.

2. Subtract x from both sides. You'll get 6x - x = 45.

3. You can combine like-terms by subtracting 6x - x. This is the same as 6x - 1x, which is 5x. You'll get 5x = 45.

4. Divide both sides by 5 to get x = 9.

Therefore, the number is 9.

Answer:

y = 5x

D is the correct option.

Step-by-step explanation:

We have been given that sheltie puppy gets 2.5 cups of food twice per day.

It means that in a day she eats 5 cups of food. It means the rate is 5 cups of food per day.

The equation will be linear.

Let y be the number of cups of food she eat and x is the number of days.

Hence, we have

Slope = 5

And the equation that represents the number of cups of food she eats is given by

y = 5x

D is the correct option.

Answer:

D) y = 5x

Step-by-step explanation:

D is the correct answer.

Hope this helps!

23s+56s=21

79s=21

79/79    21/79

s=0.265822785

The absolute value of -19, expressed as |-19|, is +19.  That of |+17| is 17.  We are thus left with +19 - 17, or 2.

1.

Platinum Gym charges a one-time registration fee of $60, and membership is $20 a month.

Super Fit charges a one-time registration fee of $150, and membership is $10 a month.

(a) Write a expression to represent the membership cost of Platinum Gym for x months.

Let x = months

20x + 60 is your expression

(b) Write an expression to represent the membership cost of Super Fit for x months

Let x = months

10x + 150 is your expression

(c) You are solving for both one month and twelve months of membership.

One month: Plug in 1 for x.

20(1) + 60 = 20 + 60 = 80

10(1) + 150 = 10 + 150 = 160

Platinum Gym is cheaper overall for one month by $80

One year: There are twelve months in a year. Plug in 12 for x.

20(12) + 60 = 240 + 60 = 300

10(12) + 150 = 120 + 150 = 270

Super Fit is cheaper than Platinum Gym overall for one year by $30

(d) Set the two expression equal to each other.

20x + 60 = 10x + 150

Isolate the x. Subtract 10x and 60 from both sides

20x (-10x) + 60 (-60) = 10x (-10x) + 150 (-60)

20x - 10x = 150 - 60

Simplify

20x - 10x = 150 - 60

10x = 90

Isolate the x. Divide 10 from both sides

10x/10 = 90/10

x = 9

It takes 9 months for the cost to be the same.

(e) It really depends on how long you want to work out at a gym. If you are working out for less than a year, than Platinum Gym is the better choice. If more than a year, then Super Fit is the better choice.

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hope this helps

5 x 4= 20

20 students play basketball.

5 x 4= 20

20 students play basketball.

Answer:

Step-by-step explanation:

Given a ladder AP of length = 10m is kept against a wall AB such that it reaches a window at A, such that AB=6m .

Consider a triangle ABP

By Pythagoras theorem,

[tex](Hypotenuse)^2=(Perpendicular)^2+(Base)^2\\\\i.e.\ (10)^2=(6)^2+(BP)^2\\\Rightarrow100=36+(BP)^2\\\Rightarrow(BP)^2=64\\\Rightarrow\ BP=8\ m[/tex]

Now,The same ladder reaches another window at C when it is rested against the wall opposite to AB .

Let D be a point which represent the foot of the second building CD on the ground which is 14 m away from B.

∴ BD = BP+ PD              

⇒ 14 = 8+PD

⇒PD =14-8 = 6m

Now consider another triangle CPD

Again by Pythagoras theorem,

[tex](Hypotenuse)^2=(Perpendicular)^2+(Base)^2\\\\i.e.\ (CP)^2=(CD)^2+(PD)^2\\\Rightarrow\ (10)^2=(CD)^2+(6)^2\\\\\Rightarrow100=(CD)^2+36\\\Rightarrow(CD)^2=64\\\Rightarrow\ CD=8\ m[/tex]

Therefore, the height of the window at C from the ground CD=8m

Answer:

Length = 10

Step-by-step explanation:

Normally you would use

d = sqrt( (x2 - x1)^2 + (y2 - y1)^2 )

But the 2 y values are the same so y2 - y1 = 0.

d then becomes sqrt(x2 - x1)^2

d = (x2 - x1) because the square root of (x2 - x1)^2 is just (x2 - x1)

x2 = 7

x1 = -3

d = (7 - - 3) = 10

The value of x is [tex]-1/11[/tex]

To find the value of xin the equation [tex]34x-12x+5=3[/tex], follow these steps:

1. Combine like terms on the left-hand side:

[tex]34x-12x+5=3[/tex]

2. Simplify the equation:

[tex]22x+5=322x + 5 = 322x+5=3[/tex]

3. Subtract 5 from both sides to isolate the term with xxx:

[tex]22x=3-522x = 3 \\- 522x=3-5 22x\\=-222x = -222x=−2[/tex]

4. Divide both sides by 22 to solve for xxx:

[tex]x=−222x \\= \frac{-2}{22}x=22-2 x\\=-111x =\frac{-1}{11}x=\\-1/11[/tex]

So, the value of x is [tex]-1/11[/tex]

Answer:

{0, 10, 100, 110} = {x : x = 10(n + k), n = 0, 10 and k = 0, 1}

Step-by-step explanation:

We have been given the set {0, 00, 10, 000, 010, 100, 110} which is in the Roster form.

Since repetition is not allowed in a set, let's rewrite the given set as:

{0, 10, 100, 110}

Note that the elements of the set are binary.

Now, let's write the set builder form of the above set as below:

{0, 10, 100, 110} = {x : x is an even binary number and its decimal equivalent is less than 7}

Answer:Noah runs the fastest, u gave me the wrong answer!!!!!!!!!

Step-by-step explanation: