Mathematics Middle School

Solve for x.
8 - 4x - 28 = 4
x=_________

Answers

Answer 1

x = -6
8-4(-6)-28=4
8+24-28=4
32-28=4
4=4

Answer 2

Answer:

x=6

Step-by-step explanat

Related Questions

Which pair of expressions are equivalent? 3 v + 5 minus 9 v + 2 and negative 6 v + 6 Negative 6 n + 3 minus 2 n + 2 and negative 8 n + 6 Negative 4 n + 8 + 9 n minus 2 and 5 n + 6 10 n minus 5 minus 2 n + 3 and 5 n minus 2

Answers

Answer:

Negative 4 n + 8 + 9 n minus 2 and 5 n + 6

Step-by-step explanation:

3v + 5 - (9v + 2)

3v + 5 - 9v -2 = -6v + 3

-6v + 6

(NO)

-6n + 3 - (2n + 2)

-6n + 3 - 2n - 4 = -8n - 1

-8n + 6

(NO)

-4n + 8 + 9n - 2 = 5n + 6

5n + 6

(YES)

Answer:

The answer is c

Hello This is pretty Easy But i forgot the basics

Answers

Answer:

-3, -2 1/2, -2 2/5, -2 3/10, -2

Step-by-step explanation:

Answer: from least to greatest =

-2 ; -2 3/10; -2 2/5; - 2 1/2, -3

Step-by-step explanation:

Step 1: Convert fraction to decimal

Step 2: arrange in the order

Step 3: be mindful of the sign (-)

A student brought two juice pouches for $1.25 each and 3 bags of chips. The total cost was $5.05. Write and solve an equation to determine the cost of a bag of Chips,c

Answers

Answer:

x = 0.85

2 (1.25) + 3x = 5.05

Step-by-step explanation:

2 (1.25) + 3x = 5.05

2.5 + 3x = 5.05

3x = 2.55

Itemized Charitable Contributions The average charitable contribution itemized per income tax return in Pennsylvania is $792 . Suppose that the distribution of contributions is normal with a standard deviation of $108 . Find the limits for the middle 58% of contributions. Use a graphing calculator and round the answers to two decimal places.

Answers

Final answer:

To find the limits for the middle 58% of charitable contributions in Pennsylvania, calculate the Z-scores and use them to determine the lower and upper limits.

Explanation:

Given data: Average charitable contribution = $792, Standard deviation = $108

Find middle 58% limits:

Calculate the Z-scores for the 58% middle region: Z-score for lower limit = -0.29, Z-score for upper limit = 0.29Use Z-score formula: Lower limit = Mean - Z-score * Standard deviation, Upper limit = Mean + Z-score * Standard deviationSubstitute values to find the limits: Lower limit = $757.28, Upper limit = $826.72

Can someone help me with this? Thank you :)

Answers

Answer: The area of the shaded region is 150.72 km^2

Step-by-step explanation: The first bit of information we have is that both the inner circle and the outer circle have the same center. The radius of the inner circle can be calculated since we have been given the circumference (25.12) and the value of pi (3.14). The circumference of a circle is given as

Circumference = 2 x Pi x radius

With the values available, we now have

25.12 = 2 x 3.14 x radius

25.12 = 6.28 x radius

Divide both sides of the equation by 6.28

radius = 4

Having calculated the radius of the inner circle, the area now becomes;

Area = Pi x radius^2

Area = 3.14 x 4^2

Area = 3.14 x 16

Area = 50.24 km^2

The radius of the outer circle is the addition of 4 (on the shaded region) to the radius of the inner circle and that gives us 8.

Next we calculate the area of the outer circle which is

Area = Pi x radius^2

Area = 3.14 x 8^2

Area = 3.14 x 64

Area = 200.96 km^2

Now that we have determined the area of both the inner circle and the outer circle, the area of the shaded region is simply the difference between both of them, that is

Area of shaded region = 200.96 - 50.24

= 150.72 km^2

Fig. 1
8 Von einem Medikament ist bekannt, dass es bei der Behandlung einer Krankheit mit
80% Wahrscheinlichkeit heilend wirkt. Es werden drei Patienten damit behandelt, die an
dieser Krankheit leiden. .
a) Ein Arzt überlegt sich, dass das Medikament mit einer Wahrscheinlichkeit von 51,2%
alle drei Patienten heilt. Wie kommt er zu diesem Ergebnis?
b) Wie groß ist die Wahrscheinlichkeit, dass mindestens zwei Patienten geheilt werden?
c) Wie kann man die Behandlung der Patienten mit einem Urnenexperiment simulieren?
Diskutiere, ob dann mit Zurücklegen“ oder „ohne Zurücklegen" gezogen wird.

Answers

Step-by-step explanation:

The employees at a bank ordered 4 turkey sandwiches and 2 salads at a local deli. The total cost of the order was $25. If a salad cost 1 dollar less than a turkey sandwich, what is a cost of a turkey sandwich and the cost of a salad?

Answers

Answer:

A turkey sandwich would cost $6.50 and the salads would be $5.50

Step-by-step explanation:

The cost of a turkey sandwich is $4.5 and the cost of a salad is $3.5.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the employees at a bank ordered 4 turkey sandwiches and 2 salads at a local deli. The total cost of the order was $25.

The cost will be calculated as,

4t + 2s = 25

s = t - 1

Substitute the value of s in the first equation,

4t + 2s = 25

4t + 2(t - 1)= 25

4t + 2t - 2 = 25

6t - 2 = 25

t = $4.5

The cost of salad will be,

S = t - 1

S = 4.5 - 1

S = $3.5

Therefore, the cost of a turkey sandwich is $4.5 and the cost of a salad is $3.5.

To know more about an expression follow

https://brainly.com/question/23732086

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How do lenders benefit from loan modification?

Answers

Answer:

The lender reduces the amount of principal that the borrower owes, with no expectation of repayment. Debt Forgiveness is analogous to a principal reduction. This is a more effective way to reduce payments than either lowering the interest rate on the mortgage, or extending the terms.

Answer:

they avoid foreclosure cost

Step-by-step explanation:

took the bullet

An element with mass 590 grams decays by 19.5% per minute. How much of the
element is remaining after 15 minutes, to the nearest 10th of a gram?

Answers

22.8 gms

Step-by-step explanation:

Step 1:

Given,

Mass of the element = 590 gms

Percentage decay per minute = 19.5%

Step 2 :

Fraction of the element remaining at the end of 1 minute = 1 - 0.195 = 0.805

Hence the fraction of element remaining after 15 minutes = [tex]0.805^{15}[/tex] = 0.03863

So the mass of the element remaining after 15 minutes = 0.03863 * 590 = 22.8 rounded off to the nearest 10th of a gram

mass of the element remaining after 15 minutes = 22.8 gms

Answer:

22.8

Step-by-step explanation:

answered on delta math and got it correct

Two positive integers have a product of 50. One
integer is twice the other. What are the
integers?
Separate the answers with a comma.
Enter the correct answer.

Answers

One integer is 5 and the second one is 10

What is the slope of a line that passes through (2,-5) and (6,-2)? *

Answers

Answer:

Step-by-step explanation:

Answer:4/3

Step-by-step explanation:

I need help. Can someone pls answer with working thx

Answers

Question 1:

The given formula is

[tex]I=\frac{PTR}{100}[/tex]

To make T, the subject we multiply both sides by 100:

[tex]100I=\frac{PTR}{100} \times 100[/tex]

This becomes

[tex]100I=PTR[/tex]

Divide both sides by PR

[tex]T=\frac{100I}{PR}[/tex]

b) Amanda's principal is , P=€2565

The interest rate is 3.5% p.a. that is R=3.5

We want to find how many years, her money will gain an interest of I=€718.20

We substitute into the formula for T,

[tex]T=\frac{100 \times 718.20}{2565 \times 3.5}[/tex]

This simplifies to:

T=8

Therefore it will take 8 years

2) Percentage profit

[tex] = \frac{profit}{cost \: price} \times 100\%[/tex]

The cost price of the 80 articles €200

The selling price is 3.5×80=€280

The profit =€280-€200=€80

The percentage profit is now

[tex] = \frac{80}{200} \times 100\%[/tex]

[tex] = 0.4 \times 100\%[/tex]

[tex]40\%[/tex]

The percentage profit is 40%

Question 3)

Let the original price of the calculator be x.

Then 85% of this price will be:

[tex] \frac{85}{100} \times x[/tex]

This is the same as€32.89

We equate and solve for x.

[tex] \frac{85}{100} x= 32.89[/tex]

[tex]0.85x = 32.89[/tex]

[tex]x = \frac{32.89}{0.85} [/tex]

[tex]x = 38.69[/tex]

The original price is €38.69

6) What is 100 percent of 14 ?

Answers

Answer: 14

Step-by-step explanation:

100% of 14

= 100/100 × 14/1

Answer:14

Step-by-step explanation:

Percent= 100%

From= 14

Value= [tex]\frac{100}{100}[/tex] x 14= 1x 14 =14

what is 5% on $600 in sales

Answers

Answer:

Percentages can be reversed. For example:

600% of 5 is 30. Therefore $30 would be 5% of $600.

Step-by-step explanation:

The answer you are looking for is $30.

To find this answer, you must first make 5% a decimal. To do so, simply divide 5 by 100 to get 0.05. Lastly, multiply 0.05 by $600 to get $30. Thus making $30 your answer.

I hope this helps!

Jack made 5 and 1/4 dozen cookies for the bake sale and his sister made 3 and 3/4 dozen cookies how many more cookies did jack make then his sister

Answers

Jake made 1 and 1/4 more cookies

Answer:

3 / 2 dozen

Step-by-step explanation:

5 + 1/4 - 3 + 3/4

21/4 - 15/4

6 / 4

3 / 2

Can you guys please help me?
A kite is flying on a 100-foot string tied to a stake in the ground. If the kite has a vertical height of 80 feet, how far is it from the stake to a point on the ground directly below the kite?
A.)60
B.)100
C.)180
D.)80

Answers

Answer:

Step-by-step explanation:

Solve for θ if sinθ = 0.62. Round answer to the nearest degree.

Answers

The answer is False when I did it

Answer:

Theta=38° to the nearest degree

Step-by-step explanation:

7/6 = ?/48 I just need the answer to this ASAP

Answers

Answer:

Step-by-step explanation:

6 X 8 = 48

7 X 8 = 56

Answer:

56/48

Step-by-step explanation:

you multiply both sides by 8.

For the right triangle shown, which expression represents the length of CB?

A) 6 cos(35°)

B) 6 tan(35°)

C)

6

sin(35°)

D)

cos(35°)

6

Answers

Answer:

B) 6 tan(35°)

Step-by-step explanation:

from the right angle tan° = opposite / adjacent

therefore tan (35°) = (x) / 6

by multiplying 6 to both sides

tan (35°) * 6 = (x) / 6 * 6

therefore (x) = 6 tan (35°)

Answer:

Step-by-step explanation:

I did it on usatestprep

siw is a fourth as old as mother, and Mona is a fifth as old as mother. Mother is 22 years older than the two girls together. How old are they?

Answers

Answer:

Siw's age is 10 years old

Mona's age is 8 yers old

Mother's age is 40 years old

Step-by-step explanation:

Let

x ----> Siw's age

y ---> Mona's age

z ---> Mother's age

we know that

Siw is a fourth as old as mother

[tex]x=\frac{1}{4}z[/tex] ----> equation A

Mona is a fifth as old as mother

[tex]y=\frac{1}{5}z[/tex] ----> equation B

Mother is 22 years older than the two girls together.

[tex]z=x+y+22[/tex] ----> equation C

substitute equation A and equation B in equation C

[tex]z=\frac{1}{4}z+\frac{1}{5}z+22[/tex]

solve for z

Multiply by 20 both sides to remove the fraction

[tex]20z=5z+4z+440[/tex]

[tex]20z-9z=440\\11z=440\\z=40\ years[/tex]

Find the value of x

[tex]x=\frac{1}{4}(40)=10\ years[/tex]

Find the value of y

[tex]y=\frac{1}{5}(40)=8\ years[/tex]

therefore

Siw's age is 10 years old

Mona's age is 8 yers old

Mother's age is 40 years old

what’s the vertex of f(x)= (x-4)^2+7

Answers

Answer:

vertex is 4

Step-by-step explanation:

y = (x-4)^2 + 7

(x-4) (x-4)

x * x = x^2

x * -4 = -4x

-4 * x = -4x

-4 * -4 =16

x^2 - 8x + 16

y = x^2 -8x + 16 + 7

y = x^2 -8x + 23

a b c

formula to find vertex: -b / 2a

= -b / 2a

= - (-8) / 2 (1)

= 8 / 2

= 4

vertex = 4

(what i did was work out the exponent outsite the parentesis then i got the equation i wanted, and from that equation i used the formula to find the vertex and i just plugged the numbers of the equation into the formula and work it out)

Answer:

(4,7)

Step-by-step explanation:

The equation for a parabola can be written as

y = a(x-h)^2 +k where (h,k) is the vertex

given f(x) = (x-4)^2+7

The vertex is (4,7)

Determine the center and radius of the following circle equation:
x2 + y2 - 6x + 6y - 82 = 0

Center:
Radius:

Pls help :)

Answers

Center: (3,-3)

Radius: 10

The center of the given circle is at (3, -3), and the radius of the circle is 10. This can be determined by rearranging the equation into the standard form and then completing the square for the x and y terms.

To determine the center and radius of the circle given by the equation x2 + y2 - 6x + 6y - 82 = 0, we need to rearrange it into the standard form of a circle equation, which is (x - h)2 + (y - k)2 = r2, where (h, k) is the center and r is the radius of the circle.

First, group the x terms and the y terms: (x2 - 6x) + (y2 + 6y) = 82.

Then, complete the square for both x and y terms: (x2 - 6x + 9) - 9 + (y2 + 6y + 9) - 9 = 82. This factors to (x - 3)2 + (y + 3)2 = 82 + 9 + 9.

Finally, calculate the right side to find the radius squared: (x - 3)2 + (y + 3)2 = 100, so the circle's radius squared is 100 and the radius is 10.

Therefore, the circle's center is at (3, -3), and its radius is 10.

What signs for 4 & 6 will get you to a 2?

Answers

Answer:

-4 and +6

Step-by-step explanation:

The signs of 4 and 6 that will get you to a 2 are

[tex] - 4[/tex]

and

[tex] + 6[/tex]

Putting the two together gives

[tex] - 4 + 6 = 6 - 4 = 2[/tex]

This means that, starting from -4 on the number line , move 6 units to the right.

This will land you on 2

Javier moves backward so that his horizontal distance from the tree is
greater. Will the distance from his eyes to the top of the tree also be
greater? Explain.

Answers

Answer:

Yes it will be greater, he is moving back 3 feet so what you are doing is taking the leg (a2) and multiplying it by 3. Once you do, you see triangle 1 has double and so did triangle 2. Triangle 1 was originally 5.6 (rounded to 6) than went up to 26.1. Triangle 2 was originally 24 and went up to 74.7 (or 75)

Step-by-step explanation:

Triangle 1 (when multiply by 3)

a2+b2=c2

7(square to 2)+b2=27(square to 2)

49+b2=729

-49 -49

--------------------

b2=680

(square root it)

b=26.1 Rounded to nearest tenth

Triangle 2:

a2+b2=c2

7(square to 2)+b2=75(square to 2)

49+b2=5625

-49 -49

-------------------

b2=5576

(square root it)

b=74.7 (or 75 rounded to nearest tenth)

Hope this helps anyone who needs it :)

Yes, the distance from his eyes to the top of the tree will also be greater.

What is function?

A function is a relation between a dependent and independent variable.

Mathematically, we can write → y = f(x) = ax + b.

Given is that Javier moves backward so that his horizontal distance from the tree is greater.

Before moving backward, the distance from Javier's eyes to the top of the tree can be written as -

cosФ = b/h

h = b/cosФ

Now, we can see that -

h [tex]\alpha[/tex] b

As base increases, the hypotenuse length or the distance from Javier's eyes to the top of the tree will increase.

Therefore, yes, the distance from his eyes to the top of the tree will also be greater.

To solve more questions on functions, visit the link-

https://brainly.com/question/29014197

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solve each system by elimination
-x-5y-5z=2
4x-5y+4z=19
x+5y-z=-20

Answers

Answer:

x = -2 , y = -3 , z = 3

Step-by-step explanation:

Solve the following system:

{-x - 5 y - 5 z = 2 | (equation 1)

4 x - 5 y + 4 z = 19 | (equation 2)

x + 5 y - z = -20 | (equation 3)

Swap equation 1 with equation 2: