7,5+9287= x + 7?????​

Considering the definition of an equation and the way to solve it, Nina can download 36 older games and 24 older games if she downloads one and four new games respectively.

An equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns, appear in addition to certain known data.

The solution of a equation means determining the value that satisfies it and the equality is true. To solve an equation, keep in mind:

In this case, Nina wants to download games for her video game console.  Older games cost 150 points and new releases cost 600 points. Nina has 6000 points to use.

The equation 150a+600b=6000, where a is the number of older games and b is the number of new releases models the situation.

If Nina downloads one new game, that means that the value of the variable "b" is 1. Substituting in the equation that models the previously mentioned situation, and solving, you obtain:

150a+600×1=6000

150a + 600=6000

150a= 6000 - 600

150a= 5400

a= 5400÷150

a= 36

If Nina downloads four new game, that means that the value of the variable "b" is 4. Substituting in the equation that models the previously mentioned situation, and solving, you obtain:

150a+600×4=6000

150a + 2400=6000

150a= 6000 - 2400

150a= 3600

a= 3600÷150

a= 24

Finally, Nina can download 36 older games and 24 older games if she downloads one and four new games respectively.

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The length of the base of the triangle is 1 1/5 inches

The area of a shape is the amount of space on the shape

The given parameters are

Area = 3/4 square inches

Height = 1 1/4 inches

The length of the base of the triangle is calculated as

Base = 2 * Area/Height

Substitute the known values in the above equation

This gives

Base = 2 * (3/4)/(1 1/4)

Evaluate

Base = 1 1/5

Hence, the length of the base of the triangle is 1 1/5 inches

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The equations that are true are:

2 + 5 = 19 - 12

5 - 4 - 3 - 2 - 1 = 30 - 34 - 1

Here we have some equations, the equations are only true if we have the exact same number in both sides of the equation.

The first one is:

2 + 5 = 19 - 12

If we simplify both sides we get:

2 + 5 = 7

19 - 12 = 7

Then the equation becomes:

2 + 5 = 19 - 12

7 = 7

This is true.

The next equation is:

5 - 4 - 3 - 2 - 1 = 30 - 34 - 1

If we simplify both sides we get:

5 - (4 + 3 + 2 + 1) = 30 - 35

5 - 10 = 30 - 35

-5 = -5

This is true.

The last equation is:

2x + 5 - 4x = 3x - 2 - 5x + 16

Here we have a variable, so we need to solve this for x.

2x -4x + 5 = 3x - 5x + 16 - 2

-2x + 5 = -2x + 14

-2x + 5 + 2x = 14

5 = 14

This equation is false, because 5 is different than 14.

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Using integrals, it is found that the cumulative distribution function(cdf) at x = 2.27 is given by:

P(X ≤ 2.27) = 0.897.

The cumulative distribution function of a distribution given by f(x) at a value of x = x* is given by the following integral:

[tex]\int_{-\infty}^{x^{\ast}} f(x) dx[/tex]

For this problem, the distribution is given by:

[tex]f(x) = e^{-x}, x > 0[/tex]

Hence, at x = 2.27, the cdf is given by:

[tex]\int_{0}^{2.27} e^{-x} dx[/tex]

The infinity was replaced by 0 because the lower bound of the definition of the distribution is of 0. Hence:

[tex]\int_{0}^{2.27} e^{-x} dx = -e^{-x}|_{x = 0}^{x = 2.27}[/tex]

Applying the Fundamental Theorem of Calculus:

P(X ≤ 2.27) = -e^(-2.27) + e^0 = -e^(-2.27) + 1 = 0.897.

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Using translation concepts, we have that:

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

On the translation of △ABC to △A′B′C′, the rule applied to the vertices is:

(x,y) -> (x + 4, y).

Hence it was translated 4 units right.

On the translation of △A′B′C′​ to △A′′B′′C′', the rule is given by:

(x,y) -> (-y,x).

Hence it was rotated 90 degrees counterclockwise about the origin.

The triangle keeps the same size after the translations, hence:

Because the transformations are both rigid, the pre-image and the image are congruent.

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Answer:

Yes

Step-by-step explanation:

29 times 3 is 87

Hope It Helps

Sorry If I'm Wrong

Answer:

11/7 is the answer

to your question

Answer:

60 and 600

Step-by-step explanation:

im guessing..

Answer:

I think it's the last answer

Answers to both the subparts are:

So, there will be 22 children at the party and each table will have 1 child sitting on each side.

(A) Ms Francis would have to rent 6 tables in order for everyone to have their own side.

Then,

4 × 6 = 24

(B) She could have all of the children sitting at their tables, each with their own side, but the sixth table would only have two other children.

Therefore, the answers to both the subparts are:

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The constant of variation is 3.

It should be noted that in the information, we are given the values of both x and y.

When x is 2, y is 6. When x is 5, y is 15. Finally when x is 8, y is 24.

The constant is given as 6/2 or 15/5 or 24/8. This will give 3.

Therefore, the constant of variation is 3.

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X And y values shown x

X. Y

2. 6

5. 15

8. 24

What is the constant of variation?

Answer:

the cost of renting the pavilion for 8 hours = $130

Step-by-step explanation:

$50 plus $10 per hour

so 8 hour  = 10 * 8 = $80

$50 + $80 = $130

Answer:

Evaluate

30x + 160xn

Step-by-step explanation:

Answer:

Solution :

30x + 80x^2

Step-by-step explanation:

1) Distribute the outer term into the first by multiplying the numerical values and then the terms

2) Repeat for the second one.

Answer:

Step-by-step explanation:

i 1=i i+i = 1 paulit ulit lg pag dalawa ung term i po sagot jan

Answer:

209.106 = (2 x 100) + (0 x 10) + (9 x 1) + (1/10) + (0/100) + (6/1000)

Answer: 200 + 9 + 0.1 + 0.005

Step-by-step explanation: For expanded form you need to break up the number into its individual parts. You have 2 hundreds, 9 ones, 1 tenths, and 5 thousandths.

Answer:x=0,6,−3

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero

Using linear functions, it is found that:

A linear function is modeled by:

y = mx + b

In which:

For Shop A, we have a linear function that:

Hence the functions are given by:

Due to the lower slope, shop A charges less per hour. The costs will be the same when:

A(x) = B(x)

3x + 9 = 4x + 6

x = 3.

The canoe must be rented for 3 hours for the costs to be the same.

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Answer:

distance = [tex]\bf \sqrt{97}[/tex] units

Step-by-step explanation:

To find the distance between two points given their coordinates, we can use the following formula:

[tex]\boxed{\mathrm{distance} = \sqrt{(x_1-x_2)^2 + (y_1 - y_2)^2}}[/tex],

where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are coordinates of the two points.

The two points we are given are:

• J(-8, 0)

• K(1, 4).

Using these coordinates and the formula above, we can calculate the distance between the points:

distance = [tex]\sqrt{(-8 - 1)^2 + (0 - 4)^2}[/tex]

              = [tex]\sqrt{(-9)^2 + (-4)^2}[/tex]

              = [tex]\sqrt{81 + 16}[/tex]

              = [tex]\bf \sqrt{97}[/tex]

Therefore, the distance between J and K is [tex]\bf \sqrt{97}[/tex] units.

The rose bush will be 60 inches tall after 40 weeks

From the question, we are to calculate how tall the rose bush would have grown in 40 weeks

From the given information,

"A rose bush grows at a rate of 1.5 inches per week"

To calculate how tall the rose bush would have grown in 40 weeks, we will multiply the rate at which the bush grows by 40

That is,

1.5 × 40

= 60 inches

Hence, the rose bush will be 60 inches tall after 40 weeks

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The dimensions of the rectangle are 10 inches by 25 inches

The given parameters are

The above parameters mean

w = 3l - 5

P = 70

The perimeter of the rectangle is

P =2(l + w)

So, we have

2(l + 3l - 5) = 70

Divide by 2

l + 3l - 5 = 35

Evaluate the like terms

4l = 40

Divide by 4

l = 10

Substitute l = 10 in w = 3l - 5

w = 3 * 10 - 5

w = 25

Hence, the dimensions of the rectangle are 10 inches by 25 inches

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Answer:$4.50, or a 325% markup

Step-by-step explanation:

yes?

Answer: One fraction: 5/4. Mixed Number:

Step-by-step explanation: One fraction: you need to count the number of green squares on the top, and on the bottom you need to count how many are you each square.

Answer:

26 is the approximate mean

Mario's score in the video game is 174.

Mario's score is a function of the number of points started with, the point per coin, the point per gem , number of gem and coins found. The mathematical operations that would be used are addition and multiplication.

Addition is the process of determining the sum of two or more numbers. Multiplication is the process of determining the product of two or more numbers.

Mario's score = beginning point + (number of gold coins x score per gold coin) + (number of gems x score per gem)

Mario's score = 100 + 3c + 2g

Mario's score = 100 + (3 x 8) + (2 x 25)

Mario's score = 100 + 24 + 50 = 174

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The number of zeros in the product of 7 and 5,000 is 3.

The place value is defined as the value of each digit in a given number.

Here, we are given that 7 is multiplied by 5000

We can see that in 5000, the hundreds, tens and units digits are all zero.

Also, we know that 0 multiplied by any number gives us a zero only.

Thus, when we multiply 5000 and 7, each digit of 5000 will be multiplied by 7.

We can thus see that there will definitely be at least 3 zeroes in their product.

when we 7 is multiplied by 5, the unit digit will not be 0 as 7 is an odd number.

Thus, there are 3 zeroes in the product of 7 and 5000.

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You need a value less than 23.5 or greater than 27.2.

Given the time in his first four races is: 24.7 , 23.5 , 25.6 , 27.2 seconds.

To find the time for her race which would make a higher difference, we need to make use of range.

The range formula is frequently employed in statistics to ascertain the range provided in a specific data set. The formula finds the difference between the lowest and highest value, which aids in locating the set's center. In distribution, a wide range denotes increased variability while a narrow range denotes lower variability. The mean, median, and mode are among the additional statistical concepts included in the range formula.

The range is the difference between the highest and lowest value. In this case, the highest and the lowest numbers are 27.2 and 23.5 seconds.

To make a larger range, we simply need to pick a number smaller than 23.5 or larger than 27.2. This will produce a larger difference (or range).

Hence we acquired the desired result.

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Your question is incomplete. Please find the missing content here.

Your friend swims on the school team.

In his first four races, his times are 24.7, 23.5, 25.6, and 27.2 seconds. Which time listed for her next race would make the range larger?

Answer: -30 ==> A

Step-by-step explanation:

a = 3 and b = −4

12(a • b + a2) + 6=

12(a • b + a^2) + 6=

12(3 • (-4) + 3^2) + 6=

12(-12 + 9) + 6=

12(-3)+6=

-36+6=

-(36-6)=-30 ==> A

Answer:

a) -30

Step-by-step explanation:

Given that,

→ a = 3

→ b = -4

Let's solve the problem,

→ 12(a × b + a²) + 6

→ 12(3 × -4 + (3)²) + 6

→ 12(-12 + 9) + 6

→ 12 × -3 + 6

→ -36 + 6 = -30

Hence, the answer is -30.

Check the picture below.

[tex]{\LARGE \begin{array}{llll} y = ab^x \end{array}} \\\\[-0.35em] ~\dotfill\\\\ \textit{we know that} \begin{cases} x=0\\ y=40 \end{cases}\implies 40=ab^0\implies 40=a(1)\implies 40=a \\ ~\hfill \underline{y = 40b^x} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\textit{we also know that} \begin{cases} x=3\\ y= 15 \end{cases}\implies 15 = 40b^3\implies \cfrac{15}{40}=b^3\implies \cfrac{3}{8}=b^3 \\\\\\ \sqrt[3]{\cfrac{3}{8}}=b\implies \cfrac{\sqrt[3]{3}}{\sqrt[3]{8}}=b\implies \cfrac{\sqrt[3]{3}}{2}=b~\hfill \underline{y = 40\left( \frac{\sqrt[3]{3}}{2} \right)^x}[/tex]

answer

6 in. wide, 8 in. deep and 5 feet long.