Round the following numbers to 1 decimal place,
a)
68.75
b)
5.894
c) 634.9201
d)
89.99

Answer:

b) 91

Step-by-step explanation:

Step 1: Multiple marks by its weights

Homework average: 95 x 20% = 19

Quiz average: 90 x 20% = 18

Test average: 87 x 40% = 34.8

Final exam: y x 20% = 0.2y

Step 2: Add all weighted averages and find y

19+18+34.8+0.2y = 90

71.8 + 0.2y = 90

y = 18.2/0.2

y = 91

Therefore, Anna needs to score minimum 91 in the final exam so that she can score a 90 in class.

Option b is correct.

!!

Answer:

-4m-5

Step-by-step explanation:

The trick here is knowing not to combine terms with variables with terms that don't have variables.

[tex]m-7-(5m-2)\\m-7-5m+2\\m-5m-7+2\\-4m-5[/tex]

So the answer is -4m-5

Answer:

Step-by-step explanation:

[tex](m-7)-(5m-2)\\\\=m-7-5m-(-2)\\\\=m-7-5m+2\qquad\text{combine like terms}\\\\=(m-5m)+(-7+2)\\\\=-4m-5[/tex]

B

when we multiply the equation and subtract equatio 2 from equation 1 the result is 0=-4 and 0=2

Answer:  The correct option is

(B) no solution.

Step-by-step explanation:  We are given to find the solution of the following system of equations :

[tex]-2x-y=1~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\-4x-2y=-1~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)[/tex]

From equation (i), we have

[tex]-2x-y=1\\\\\Rightarrow y=-2x-1~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)[/tex]

Substituting the value of y from equation (iii) in equation (ii), we get

[tex]-4x-2(-2x-1)=-1\\\\\Rightarrow -4x+4x+2=-1\\\\\Rightarrow 2=-1,[/tex]

which can never be possible.

Thus, the given system of equations have no solution.

Option (B) is CORRECT.

Answer:

35

Step-by-step explanation:

bundles tundra dismay chard bff dusk m u

Based on the given information,  the photo takes up 5/32 of the page.

To find out how much of the page is taken up by the photo,  multiply the fraction representing the article's portion of the page (5/8) by the fraction representing the photo's portion of the article (1/4).

First,  calculate the fraction representing the photo's portion of the page:

(5/8) * (1/4) = 5/32

Therefore, the photo takes up 5/32 of the page.

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Answer: 15 + c = 64

Step-by-step explanation:

we need to do 15 + 64

C represents her age, which would be 49, if you needed to know

Therefore the equation is 15 + c

Answer: See attached graph

Answer:

The range of the numbers make this true is (12 , 17)

Step-by-step explanation:

Lets explain how to solve the problem

The statement is:

→ Nine less than a number is between 3 and 8

Assume that the number is x

∵ The number is x

∴ Nine less than a umber is x - 9

→ The difference is between 3 and 8

∴ 3 < x - 9 < 8

∴ Nine less than a number is between 3 and 8 ≡≡≡ 3 < x - 9 < 8

Lets solve the inequality to find the range of x

∵ 3 < x - 9 < 8

Add 9 to each side

∴ 3 + 9 < x - 9 + 9 < 8 + 9

∴ 12 < x < 17

∵ There is no mention about the type of the number that is integer or

   rational number or real number

∴ The range of x is any number between 12 and 17

The range of the numbers make this true is (12 , 17)

Remember you can use any number between 12 and 17 but you

cannot use 12 or 17

The range of numbers that make this true is (12, 17).

Let the numbers be represented by x.

Therefore, based on the information given, the number will be:

x - 9 = 3

x = 3 + 9

x = 12

The first number is 12.

x - 9 = 8.

x = 8 + 9

x = 17

Therefore, the range of numbers that make this true is (12, 17).

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[tex]\text{Hello there!}\\\\\text{Solve for n:}\\\\-58= -2(5n + 4)\\\\\text{Distribute the-2 to the numbers in the parenthesis}\\\\-58= -10n -8\\\\\text{Add 8 to both sides}\\\\-50=-10n\\\\\text{Divide both sides by -10}\\\\\large\boxed{5=n}[/tex]

Answer:

once

Step-by-step explanation:

since the equation is liner, with x simply to the first power, it will only cross the x axis once. x^2 would cross the x axis twice, x^3 would cross it three times, and so on

Given quadratic function [tex]y = 2x^{2} +7x+6[/tex] intersects the x-axis two times.

" Quadratic function is defined as the function which has variables with highest degree two."

According to the question,

Given quadratic function,

[tex]y = 2x^{2} +7x+6[/tex]

If quadratic function intersect x-axis value of [tex]y=0[/tex] we have,

[tex]2x^{2} +7x+6 =0\\\\\implies 2x^{2} + 4x+3x + 6=0\\ \\\implies 2x(x+2) + 3(x+2)=0\\\\\implies (2x+3) (x+2)=0\\\\\implies 2x+3 =0 \ or \ x+2=0\\\\\implies x = \frac{-3}{2} \ or \ x =-2\\\\\implies x = -1.5 \ or \ x =-2[/tex]

As shown in graph , quadratic function intersect x-axis at two points [tex](-2,0)[/tex] and [tex](-1.5,0)[/tex].

Hence, given quadratic function [tex]y = 2x^{2} +7x+6[/tex] intersects the x-axis two times.

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Answer:

sometimes

Step-by-step explanation:

i think sometimes

Answer:

ALWAYS!!

Step-by-step explanation:

The base is 30.

Hopefully I got this correct, not 100%

Answer: 30 ft

Step-by-step explanation:

Area of a triangle= (bh)/2

* multiply both sides by 2

2A=bh

*divide by h

(2A)/h=b

*substitute values

(2x120)/8=b

240/8=30

Answer:

The first one and the second one. Square root of 9 plus the square root of 7, and 10 plus Pi.

Step-by-step explanation:

Answer:

12.50x+30

Step-by-step explanation:

Answer:

[tex]y = 12.5x + 30[/tex]

Step-by-step explanation:

We are given the following information in the question:

Cost of a holiday meal = $12.50

Delivery fee = $30

Cost(y) represents the amount a holiday meal including delivery for x people.

[tex]cost = (\text{Cost of meal}\times x) + \text{Delivery chareges}[/tex]

Putting all the values,

[tex]y = 12.50\times x + 30\\y = 12.5x + 30[/tex]

The above equation gives the total amount of holiday meal for x people including the delivery charges.

Answer:

x=4

Step-by-step explanation:

"A number" can be rewritten as X:

6x=3x+12

1) subtract 3x on both sides:

3x=12

2) divide both sides by 3:

x=4

Answer:800-300

Step-by-step explanation:

since there is a 1 after the 8 it would go down to 800 and there is a 8 after the 2 so it would go up to 300

Answer:

The estimated answer is 780.

Step-by-step explanation:

Given : Expression [tex]815-28[/tex]

To find : Estimate the expression ?

Solution :

Estimation is to approximate the number to its nearest value for making calculation easier.

Estimate 815 as 810.

Estimate 28 as 30.

So, Substituting these values

[tex]810-30=780[/tex]

Therefore, The estimated answer is 780.

Answer:

24 plus 18 plus 2 plus 4 plus three

Answer:

6

Step-by-step explanation:

Answer: $251,535 is the total cost for all the laptops.

Step-by-step explanation:

615×409= 251,535

Answer:

[tex]total\ cost=\$251,535[/tex]

Step-by-step explanation:

For this exercise it is important to analize the information provided in the exercise.

According to the exercise, the of cost each computer is:

[tex]cost=\$409[/tex]

You know that the school district purchased 615 new laptops for their mobile labs; therefore, in order to calculate the total cost for all the laptops purchased, you must multiply the cost of one laptop ($409) by 615.

Therefore, you get that the total cost is the following:

[tex]total\ cost=(\$409)(615)\\\\total\ cost=\$251,535[/tex]

Answer:

-18

Step-by-step explanation:

I used order of operations. first. you want to go the thing in parentheses. then I times it by 7 and minuses it by 3

The evaluation of the given mathematical expression 7•(x-8)-3 for x = 5 results in -24.

To evaluate the variable expression 7•(x-8)-3 for x = 5, we substitute the value of x into the expression.

This becomes 7•(5-8)-3, which simplifies to 7•(-3)-3, or -21-3. Therefore, the evaluation of the given expression for x = 5 is -24.

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Answer:

[tex]15 + 40g[/tex]

Step-by-step explanation:

Use the Distributive Property to figure this out:

[tex]5(8g + 5 - 2) \\ 40g + 5(5 - 2) \\ 40g + 5(3) \\ \\ 40g + 15[/tex]

* The above answer is written in reverse, which is the exact same result.

I am joyous to assist you anytime.

Answer:

No

Step-by-step explanation:

His work is NOT correct. Please use the picture above ^^

Answer:

Step-by-step explanation:

Answer:

Yes, Josh's work is correct.  

Explanation:

He is multiplying the place value of each digit by nine and then adding the products.

9 × 2 hundreds = 18 hundreds

9 × 3 tens = 27 tens

9 × 9 ones = 81 ones

The diagram below shows how the place values line up.

Answer:

4. a + 0 = a

Step-by-step explanation:

The zero means that it is the additive property.

Answer:

a + b = a

Step-by-step explanation:

Additive identity- the number 0; when added to any number, the value of the number does not change.

The length of Rectangle is 81 feet's.

We have a rectangle which has a length of 27 feet less than nine times its width and the area of the rectangle is 972.

We have the length of the rectangle.

The Area of a Rectangle = A = L x B

The Perimeter of a Rectangle = P = 2(L + B)

According to the question, we have -

Area = 972 square feet's.

Let the length of rectangle be x and width be y.

Then -

x = 9y - 27

Now -

Area = 972

xy = 972

y(9y - 27) = 972

9y(y - 3) = 972

y(y - 3) = 108

[tex]$y^{2} -3y -108 = 0[/tex]

(y - 12)(y + 9) = 0

y - 12 = 0       or        y + 9 = 0

y = 12             or         y = - 9

But width cannot be negative. Therefore -

y = 12.

Now, length = x = 9y - 27 = 12 x 9 - 27 = 108 - 27 = 81.

Hence, the length is 81 feet's.

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Answer:

N(p) = 22 + 10p

In graphing the function, N(p) = 22 + 10p

would be the slope and 10;

and 22 would be the y-intercept.

Step-by-step explanation:

Let p represents the number of transactions.

Each transaction is worth 10 points, then p transactions are worth 10p points.

Customers automatically earn 22 points when they sign up.

The total amount of points is

N(p) = 22 + 10p

In graphing the function, N(p) = 22 + 10p

would be the slope and 10;

and 22 would be the y-intercept.

Answer:

(5, 2), (14, -7), (5, -16), (-4, -7)

Step-by-step explanation:

There is an infinite number of possibilities. However, I suspect "they" are thinking of integral coordinates and equally spaced points.

In that case, you could move up nine units to (5, 2).

This puts eight points between A and B. I have numbered them in the diagram below.

Any point on a circle with radius 9 and centred at (5, -7) is 9 units from A, but only these four points have integral coordinates for themselves and for the points in between:

     Up from A:   (5, 2)

  To the right: (14, -7)

Down from A:   (5, -16)

     To the left: (-4, -7)

Answer:

$60 - $104

Step-by-step explanation:

Based on what we know, we double $30 and double $52 which gives us $60 and $104. As we don't know the exact number we need to double we do that. This tells us that Daniela saved between $60 - $104.

If Julian saved between $ 30 and $ 52 over the summer. The inequality represents the amount of money Daniela saved which will be $ 60 < n < $ 104.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

For the inequality, we have to apply the arithmetic operation in which we do the multiplication of x and apply the inequality for the given data.

It is given that,n represents the amount of money and Julian saved between $ 30 and $ 52 over the summer.

The inequality represents the amount saved by Julian is,

$ 30<n<$ 52

If Daniela saved twice as much then he saved the amount between $ 60 and $ 104.If n shows the inequality for the amount Daniela saved then the inequality is shown as,

$ 60<x<$ 104

Thus, if Julian saved between $ 30 and $ 52 over the summer. The inequality represents the amount of money Daniela saved which will be $ 60 < n < $ 104.

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Answer:

Mean and the Median are equivalent.

Step-by-step explanation:

The median = the middle number = 6.

The mean  = (4+5+6+7+8) / 5

=  30/5

= 6.

There us no mode.