Solve the equation, showing each step of the solution.
1/2 (x – 10) = -4

Answers

Answer 1

Answer:

x=2

Step-by-step explanation:

first distribute the 1/2

1/2x - 5=-4

then add 5 to both sides

1/2x=1

multiple by 2 on both sides

x=2


Related Questions

Which are the intercepts of the equation y+2=4(x+1) ?

Answers

Answer:

*3rd option*

y intercept (0, 2)

x intercept (-1/2 , 0)

Step-by-step explanation:

First, rearrange the equation so y is on one side, the rest of the terms on the other.

y+2 = 4x + 4

y = 4x+2

The y intercept is 2 because x=0, y = 2

rearrange where x is on one side

4x = -y + 2

x = -1/4y - 1/2

The x intercept is -1/2 because when y=0, x=-1/2

please give thanks :)

and brainliest :)

hope this helps

Okay is this correct? Pls lmk! <3

Answers

Answer:

yup!

Step-by-step explanation:

Answer:

Yes absolutely! *gives thumbs up*

Let $r$ and $s$ be the roots of $3x^2 + 4x + 12 = 0.$ Find $r^2 + s^2.$

Answers

Use a similar strategy as in your other question, [19925664].

3x² + 4x + 12 = 3 (x - r ) (x - s)

3x² + 4x + 12 = 3 (x² - (r + s) x + rs)

3x² + 4x + 12 = 3x² - 3 (r + s) x + 3rs

so that

r + s = -4/3

rs = 12/3 = 4

Recall that

(r + s)² = r² + 2rs + s²

so that

r² + s² = -2rs = -2(4) = -8


Sally paid $2.40 for 4 ounces of cinnamon. If there are 16 ounces in 1 pound, how much does cinnamon cost per pound

Answers

Answer:

$12.80 per pound

Step-by-step explanation:

Since there are 16 ounces in 1 pound, we multiply $0.80 by 16 ounces to find how much cinnamon costs per pound. The answer is $12.80.

Hope this helped, Have a Wonderful Day!!

Answer:

$9.60 per pound

Step-by-step explanation:

- 4 ounces = 2.40 each

- 2.40 x 4 (4 because 4x4 is 16 and there are 16 ounces in a pound)

= $9.60

A bungee jumper dives from a bridge over a river. The function ℎ(푡) = −16푡 % +5푡 +250 gives the approximate height h in feet of the jumper until he hits the water for the first time. The variable t is measured in seconds.

Answers

Answer and Explanation:

Given the function:

ℎ(t)= −16t+5t+250

Where the variable t is measured in seconds. We can plug in t=20 seconds in the function to measure the height in feet of the bungee jumper after 20 seconds.

h(t)= -16×20+5×20+250

h(t)= -320+100+250

h(t)=350-320

h(t)= 30feet

height in feet of the bungee jumper after 20 seconds = 30 feet

Use the standard algorithm to find the product of 582 and 46.

Answers

Answer:

someone plz help this person

There are 5 red markers, 2 orange markers, 3 yellow markers, and 5 green markers in a desk drawer.What is the probability of choosing a red marker?

Answers

1/3 I’m not positive but I think

Answer:

the probability is 5/12  or 0.416 or 41%

Step-by-step explanation:

Hope I helped!

Your teacher finds a catalog that sells posters for $2 each. There is an additional charge of $4 to ship and order. Suppose that your class paid $54 for posters.

Answers

This question isn’t finished. Please finish typing it out ❤️

Find the equation of the line
Use exact numbers
Y=blankx+blank

Answers

Step-by-step explanation:

The equation of the line is y = -1.5x + 3.

13 points!!

The table below shows the heights of five different people.
table shown below

Jackson has a height of 55 inches. Which is true if Jackson is added to the data set?

Answers

Answer:

The Mean Decreases.

Step-by-step explanation:

Answer:

the answer is Cindy and i dont understand what your trying to say but if your saying witch one is closer to  Jackson then yeah Cindy

A polynominal function that describes an enclosure is v(x)=1500x_x2 where x is the length of the fence in feet what is the maximum area of the enclosure

Answers

Answer:

The answer is below

Step-by-step explanation:

A polynominal function that describes an enclosure is v(x)=1500x-x2 where x is the length of the fence in feet what is the maximum area of the enclosure

Solution:

The maximum area of the enclosure is gotten when the differential with respect to x of the enclosure function is equal to zero. That is:

V'(x) = 0

V(x) = x(1500 - x) = length * breadth.

This means the enclosure has a length of x and a width of 1500 - x

Given that:

v(x)=1500x-x². Hence:

V'(x) = 1500 -2x

V'(x) = 0

1500 -2x = 0

2x = 1500

x = 1500 / 2

x = 750 feet

The maximum area = 1500(750) - 750² = 562500

The maximum area = 562500 feet²

Answer:

562500 feet²

Step-by-step explanation:

Identify the domain of the function shown in the graph.
A. -5<x<5
B. 0<x<5
C. x is all real numbers.
D. x > 0​

Answers

Answer:

The answer is A choice.

Explanation:

By looking at the graph, we notice that at the left side, the domain/x-value stops at -5 and 5.

Thus, the domain is at the left end side to the right end side.

The domain stops at -5 on the left side and 5 on the right side. Thus the answer is

-5 < x < 5.

The A choice.

Understanding

The domain of a function is basically all the values where x is defined, and by defined, it means it has a y value corresponding to it. In this graph, x is defined from -5 to 5. If you look outside this range of numbers (from -5 to 5 on the x-axis) you will not find any y values for them. We can easily say the solution is A.

Solution:

[A] [tex]-5<x<5[/tex]

Note: From what I see from the picture -5 and 5 are included in the domain, either the question is incorrectly written, or the picture isn't clear enough. If so, the answer should be [tex]-5\leq x\leq 5[/tex].

Help! Thank youuuuu!!!!!

Answers

Answer:

scamming outta points

Step-by-step explanation:

Enter the correct answer in the box.
Consider this rational equation.
Use the least common denominator to simplify the rational equation into a standard form quadratic equation.
Replace the values of b and c to create the equation.

Answers

Answer:

[tex]x^2-10x+8=0[/tex]

Step-by-step explanation:

[tex]\frac{1}{x} +\frac{1}{x-2}=\frac{1}{4} \\\\\frac{x-2+x}{x(x-2)} = \frac{1}{4} \\\\\frac{2x-2}{x(x-2)}=\frac{1}{4} \\\\4(2x-2)=x(x-2)\\8x-8=x^2-2x\\0=x^2-2x-8x+8\\0=x^2-10x+8\\x^2-10x+8=0\\[/tex]

Using the least common denominator in simplifying the rational equation, the result of in standard form is: [tex]\mathbf{x^2 -10x + 8 = 0}[/tex]

What is the Least Common Denominator (LCD)?Least common denominator is the smallest common multiple of the denominators of two or more fractions.It is useful when simplifying, adding, subtracting or comparing fractions.

Given:

[tex]\frac{1}{x} + \frac{1}{x - 2} = \frac{1}{4}[/tex]

The least common denominator of the two fractions on the left side of the equation is x(x - 2).

Thus:

[tex]\frac{1(x - 2) + x(1)}{x(x - 2)} = \frac{1}{4}\\\\\frac{x - 2 + x}{x(x - 2)} = \frac{1}{4}\\\\\frac{2x - 2}{x^2 - 2x)} = \frac{1}{4}[/tex]

Cross multiply

[tex]4(2x + 2) = 1(x^2 - 2x)\\\\8x + 8 = x^2 - 2x\\\\[/tex]

Rewrite in standard form

[tex]0 = x^2 - 2x - 8x + 8\\\\0 = x^2 -10x + 8\\\\\mathbf{x^2 -10x + 8 = 0}[/tex]

Learn more about least common denominator on:

https://brainly.com/question/542317

Determine if the result of each product is a positive or negative integer

Answers

1. negative
2. positive
3. positive
4. negative
5. positive

Answer:

1. -13x9= -117 Negative

2. 4x14= 65 Positive

3. -6x(-31)= 186 Positive

4. -18x(54)= 4374 Positive

5. 55x7= 385 Positive

Step-by-step explanation:

Johan's water bottle holds 4.2L of water. Johan has drank 51% of water in the bottle. How much, in litres, has he drunk?

Answers

Answer : 2.142L

Step-by-step explanation:

51/100 × 4.2

=51/100 × 42/10

= 2142/1000

= 2.142L

Answer:

2.142 L

Step-by-step explanation:

Total Volume = 4.2L = 4200 ml

Amount Drunk = 51%

How much did Johan drink = 51% of 4200 ml

[tex] \frac{51}{100} \times 4200 \\ = \frac{51 \times 42}{1} \\ = 2142[/tex]

2142 ml = 2.142 L

pls i need a lot of help bc is a lot of work idk how to do

-2w(w+8)

Answers

Answer:

-2w² + -16w

Step-by-step explanation:

-2w(w+8)

Multiply each term by -2w

(-2w * w) + (-2w * 8)

-2w² + -16w

Answer:

-2[tex]w^2[/tex] - 16w

Step-by-step explanation:

multiply w and 8 by -2w.

when you multiply w by 2w, you get -2[tex]w^2[/tex] and 8 times -2w = -16w

-2[tex]w^2[/tex] - 16w

In a two digit number , the digits at tens place is 1 more than the digit at unit place .If the product of the digits is 20,find the numbers.​

Answers

The number I believe is 54

y=–6x+2
–12x – 2y=–4
How many solutions does this linear system have?

O one solution: (0, 0)
O one solution: (1, –4)
O no solution
O infinite number of solutions

Answers

Answer:

3 no solution

Step-by-step explanation:

I'm a smart man I would know trust me

I have my masters degree

HELP ALL MY POINTSwhich expression is equivilent to -6(-2/3+2x)
A.-4-12x

B.-4+2x

C.4-12x

D.4+12x

Answers

Answer:

A B C D

Step-by-step explanation:

How do i solve 6x+5=23

Answers

Answer:

x = 3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

6x + 5 = 23

Step 2: Solve for x

Subtract 5 on both sides:                    6x = 18Divide 6 on both sides:                        x = 3

Answer:

That is the answer l hope it helps ❤❤❤

Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!

Answers

Answer:

30

Step-by-step explanation:

3 multiply 5 =15

so:

6 multiply 5=30

simply cscx*cosx+cotx/secx*cotx

Answers

Answer: is that the question??

Step-by-step explanation:

a store sells comic books. during the sale, the store reduces the price of each comic book by $1.25. claire spends $13.76 on 4 comic books at the sale price. what was the price of 1 comic book before the sale? ​

Answers

Answer:

4.69

Step-by-step explanation:

13.76/4 +1.25

If anyone can please answer and explain will mark the brainliest answer

Answers

Answer:

a) [tex]y=\frac{1}{3} \sqrt{x+4}[/tex]

b) [tex]y=4 \sqrt{x}+3[/tex]

c) [tex]y=\sqrt{2x}-6[/tex]

Step-by-step explanation:

Part a is the green curve

Part b is the purple curve

Part c is the red curve

The black curve is the equation of the graph [tex]y=\sqrt{x}[/tex]

just for reference

Carlos has 38 apples. He puts 8 apples into each bag if he fills as many bags as possible, how many apples are left

Answers

Answer:

6

Step-by-step explanation:

What you need to do is 38 ÷ 8. The answer would be 4 with a remainder of 6, so there are six apples left

A 93 L batch of Ropivacaine is being made. The specific gravity is 1.01 g/mL. 196.42 g of Ropivacaine and 799.8g of sodium chloride are added. What is the weight of the water to be added to QS the solution?

Answers

Answer:

92.93378 kg

Step-by-step explanation:

Given that:

Volume of Batch = 93 L

= 93 × 1000     (since 1 L = 1000 mL)

= 93000 mL  

Specific gravity = [tex]\dfrac{density \ of \ solution}{density \ of \ water}[/tex]

where;

density of water = 1 g/ml

specific gravity = 1.01 g/mL

Density of solution = (1.01 × 1) g/mL

Density of solution = 1.01 g/mL

[tex]Density \ of \ solution = \dfrac{mass \ of \ batch }{volume \ of \ batch}[/tex]

mass of batch = 1..01 g/mL × 93000 mL

mass of batch = 93930 g

Now, the mass of additional water = mass of (batch - Ropivaciance - sodium chloride)

= 93930 g - 196.42 g - 799.8 g

= 92933.78  g

Since 1kg = 1000 g

The weight of the water to be added to the QS solution is:

[tex]=\dfrac{92933.78}{1000}[/tex]

= 92.93378 kg

Simon likes to bake pies. His favorite to make is
apple pies. He used a ratio of 9 apples to 3 ounces of
sugar to make a pie. Which ratio is equivalent to
ounces of sugar to apples?

Answers

Answer:

C.

Step-by-step explanation:

Hoped I helped! Im Eve btw Hope you have a great day and consider marking this brainliest

this is algebra ,
what is the minimum unit cost?

Answers

Answer:

search it up

Step-by-step explanation:

I'll give brainly if right and pls do an explanation ​

Answers

Answer: $280

Step-by-step explanation:

92.5-36.5 = 56

56x 10 = 560

1/2 x 560 = 280

Benny spent $280 to go to summer camp.

I hope this helps :)

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