what is the solution of the following equation? 1/2 ( 4x + 2) = 10

A. x = 4 1/2
B. x = 4
C. x = 3/4
D. x = 5 1/2

Answers

Answer 1
A. 4 1/2

1/2 (4x+2)=10

4x+2/2=10

2(2x+1)/2=10

2x+1=10

2x=9

2x/2=9/2

X=9/2

X=4 1/2

Related Questions

PLEASE HELP!

If the estimate of an 18% tip on an $82 dinner bill is $16. What is the exact answer?

$14.76

$15.00

$16.40

$18.40

Answers

14.76 is your answer you just multiply .18 to 82 and get your answer

Answer:

it is $16.40

Step-by-step explanation:

..............................................................................

Answers

thank you love <3 greatly appreciated.

solve for x 15x-2=10x+23

Answers

Answer:

x=5

Step-by-step explanation:15x - 10x -2 = 23

5x= 23 = 2

5x = 5

x=5

Answer:

X=5

Step-by-step explanation:

15x - 2 = 10x + 23

5x - 2 = 23

5x = 25

x = 5

Hope this helps. Pls give brainliest.

In ΔHIJ, h = 450 cm, i = 210 cm and j=640 cm. Find the measure of ∠I to the nearest degree.

Answers

Answer:

10

Step-by-step explanation:

The measure of an angle∠I  is 10 degrees between the 450 cm and 640 cm sides.

What is the Cosine Rule?

The Law of Cosines (also called the Cosine Rule) is defined as it relates all three sides of a triangle with an angle of a triangle.

c² = a² + b² − 2ab cos(C)

The cosine rule, also known as the law of cosines, relates all 3 sides of a triangle with an angle of a triangle. it relates the lengths of the sides of a triangle to the cosine of one of its angles.

In the given triangle ΔHIJ,

Sides:

h = 450 m

i = 210 m

j = 640 m

The angle of ∠I  is 10 degrees between the 450 cm and 640 cm sides.

According to the cosine rule,

j² = h² + i² − 2ab cos(I)

Substitute the values in the Cosine Rule,

450² = 210² + 640² - 2(210)(640)cos(I)

After solving we get the value of  angle ∠I :

∠I = 9.56038°

Rounded to the nearest degree.

∠I = 10°

Thus, the measure of an angle∠I  is 10 degrees.

Learn more the cosine rule here:

https://brainly.com/question/29717637

#SPJ2

Write an explicit formula that represents the sequence defined by the following recursive formula



HELP IM TIMED

Answers

Answer:

The explicit formula is a[tex]_{n}[/tex] = 5 - 6n

Step-by-step explanation:

The explicit formula of the arithmetic sequence of the recursive formula

a[tex]_{1}[/tex] = first term; a[tex]_{n}[/tex] = a[tex]_{n-1}[/tex] + d is a[tex]_{n}[/tex] = a + (n - 1)d, where

a is the first termd is the common difference between each two consecutive termsn is the position of the number

∵ The recursive formula is a[tex]_{1}[/tex] = -1 and a[tex]_{n}[/tex] = a[tex]_{n-1}[/tex] - 6

→ Compare it with the formula above

a = -1 ⇒ 1st term

d = -6 ⇒ common difference

→ Substitute them in the form of the explicit formula

∵ a[tex]_{n}[/tex]  = -1 + (n - 1)(-6)

∴ a[tex]_{n}[/tex] = -1 + (-6)(n) - (-6)(1)

∴ a[tex]_{n}[/tex]  = -1 + -6n - (-6)

∴ a[tex]_{n}[/tex] = -1 - 6n + 6

→ Add the like term

a[tex]_{n}[/tex] = 5 - 6n

The explicit formula is a[tex]_{n}[/tex] = 5 - 6n

PROBLEM: Juan hires an electrician. Juan pays a one-time fee of $30. Juan also pays $45 for each hour the electrician works. A. Write a function that can be used to find the total charge, c, Juan will pay when the electrician works, h, hours. Y=mx+b B. How much will Juan pay if it takes the electrician 6 1/2 hours to complete the job? (Vou should have 9 answers in question 2​

Answers

Answer:

A: C=45h+30

B: C=$322.50

Step-by-step explanation:

A: We'll start with the equation for the total charge. Juan is saying he will pay a one time fee of $30, meaning there is 30 dollars added to what ever the hourly wage is. This can be represented by the +30. Now if "h" represents the variable for which the hourly wage will be calculated, and he pays $45 dollars per hour this will be represented as 45h. As an example if I pay you 2 dollars per hour using the same variable "h", this would be represented as 2h. So if you worked for two hours you would get 4 dollars, this is proven by the fact the 2(2) (remeber im replacing the "h" with the hours you worked) obviously 2 times 2 is 4 proving my point. This information will give you the equation you see above.

B: Onto solving for how much Juan will pay. Now you say youre supposed to have 9 answer but this can't be true. All you need to do is plug the hours given into "h" and solve the equation. It should look something like:

C=45h+30

C=45(6.5)+30

Im using a decimal because it should be clear 1/2=0.5

C= 292.5+30

45x6.5 always go with PEMDAS, we are multiplying first. Then add 292.5 plus 30

This results in the answer of:

C=$322.50

0.6¯¯¯ is... irrational because it is a repeating decimal irrational because it can't be written as a fraction rational because it is a decimal that goes on forever without repeating rational because it can be written as a fraction

Answers

Answer:

The number is irrational because it can’t be written as a fraction

Step-by-step explanation:

Here, we want to state why the given number is irrational

Mathematically, an irrational number is one that cannot be expressed as the ratio of two integers

Thus, the reason why the number is irrational is because it can’t be written as a fraction

Solve problem in photo (8th math)

Answers

A hrhehrhrjrhrrhndndjd

Noah collected five water samples from local streams. Each sample was the same size, and he collected 4.35 liters of water in all. What was the volume of each water sample?​

Answers

Answer:

4.35/5= 0.87 liters

you divide the total by how many to find out what the unit rate is for each sample

Step-by-step explanation:

PLEASEE HELP AND SHOW WORK IF YOU CAN​

Answers

Answer:

M=54.62

O=59.69

N=65.68

Step-by-step explanation:

M is the smallest, and N is the largest:)

you can use cossincalc . com !!

HELLLP PLSSS ASAPP!!!!!!!!!1

Answers

The answer is A, square root of 29

If 5 pounds of oranges costs $11.55, how much would it cost for 12 pounds of oranges?

Answers

Answer:

27.72

Step-by-step explanation:

Answer:

12 pounds of oranges would cost $27.72

PLEASE CHECK, THANK YOU

Me and my friends have made a you tube channel that helps you in math if you could please check it out, it is called Evimero Academy

Solve for x: 3x − 24 = 81 WILL GIVE BRAINLIEST

fifty-seven over three
one hundred five over three
57
105

Answers

Answer:

35

Step-by-step explanation:

Answer:

[tex]x=35[/tex]

Step-by-step explanation:

[tex]3x-24=81\\3x=105\\x=35[/tex]

Help I only got a limited time

Answers

Answer:

Red

Step-by-step explanation:

Y intercept is 1

Slope is -2 (line is going down so the slope is negative)

Answer:

the yellow box

Step-by-step explanation:

HELP PLEASE!!!
Sofia spends $36 on groceries each week. If you write down a list of her total spending over
time, what kind of sequence will you have?
A arithmetic
B geometric
C both
D neither

Answers

Answer: A, arithmetic

Step-by-step explanation:

An arithmetic sequence has a constant difference between each term. If she spend 36 dollars each week, the first week would be 36 the second week would be 72, and so on.

Help me plzzz I don’t understand this

Answers

The correct justification is to multiply each side by -3 where W= -18


HELP LOL, i dont understand

Answers

Answer:

C

Step-by-step explanation:

Since the lines make a linear pair,

(5x+10)+(2x-5)=180

7x+5=180

7x=175

x=25

now, we just plug in

5(25)+10

125+10

135

I really need help with this.

Answers

A. X+8, y-4

Hope this helps and good luckkk :)

20 point question pls help

Answers

Answer: y = -1/3x - 1

Step-by-step explanation:

Slope-intercept = y = Mx + b

M = slope

B= y

(-5,-3) (5,-4) slope =

Answers

Answer: -1/10

Step-by-step explanation:

Y2- Y1 over X2 - X1

-4 - - 3 over 5 - - 5

-4 + 3 over 5 + 5

-1 over 10

QUICK:WILL GET 20 POINTS & BRAINLIEST- Compare and Contrast the incenter and the circumcenter of triangles in detail?

Answers

Answer:

A circle inscribed inside a triangle is called the incenter, and has a center called the incenter. A circled drawn outside a triangle is called a circumcircle, and it's center is called the circumcenter.

Step-by-step explanation:

Rectangle ABCD has points at A (4, −2), B(4, 4), C(8, 4), and D(8, −2). After undergoing a transformation, its new points are A'(2, −1), B'(2, 2), C'(4, 2), and D (4, −1). Is the new figure congruent to the old figure? Why or why not?

Answers

Answer:

The new figure is not congruent with the old figure. They are similar

Step-by-step explanation:

Transformations

We are given the vertices of rectangle ABCD and the vertices of rectangle A'B'C'D'.

It can be clearly noted all the coordinates of the second rectangle are half the value of the coordinates of the first rectangle.

This type of transformation corresponds to a dilation across the origin with a scale factor of 1/2.

Since the transformed rectangle is smaller than the first one, it cannot be congruent with it.

But since all the dimensions of this smaller rectangle are proportional to those of the bigger rectangle, they are similar.

Can someone pls help me with this?? I’ll give brainliest!

Answers

Answer:

It's ( - 4, 5 )

Hope it's help you.... ^_^

If the triangles are congruent,
then x =
[?]
13
4x+1
2x+y
8x-2y
Enter the number that belongs in
the green box

Answers

Answer: x = 3

Explanation:
If the two triangle are congruent then all of their sides are also congruent.

4x + 1 = 13
4x = 13 - 1
4x = 12
x = 12/4 = 3
X=3 !!!!!!!!!!!!!!!!!!!!!!!!

In order to construct the perpendicular bisector of AB, which statement describes the compass settings and the number of arc intersections needed? A less than half the length of AB : 1 B В. less than half the length of AB : 2 more than half the length of AB : 1 O D more than half the length of AB : 2​

Answers

Answer:

Answer:

D. More than half the length of AB ; 2 intersections needed

Step-by-step explanation:

Bisection implies dividing a given segment or angle into two equal halves.

To bisect AB, open the radius of the compass more than half the length of AB. With center A, describe an arc at the upper region of AB and below AB. Now, using B as the center, draw a second arc upward and downward to intersect the initial arcs at a point. Join the two points of intersection with a line passing through AB. Thus, AB has been bisected.

Step-by-step explanation:

if you scored 383 on the critical reading section on the SAT, what is your percentile

Answers

Answer:

20 percentile

Step-by-step explanation:

im sorry for your loss with your bad score.

Rochelle can run 800 meters in 5 minut
At that rate, how many meters can
Rochelle run in 9 minutes?

Answers

To find how much she can run in one minute we’re going to divide 800 by 5, to which we get 160.

She runs 160 meters in one minute.

We want to know how many meters she can run in 9 minutes.

160 * 9 = 1,440

She can run 1,440 meters in 9 minutes.

How do u do this I am so confused please help!!

Answers

Answer:

x = √145

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

Step 1: Identify Variables

Leg a = 12

Leg b = x

Hypotenuse c = 17

Step 2: Solve for x

Substitute [PT]:                     12² + x² = 17²Isolate x term:                       x² = 17² - 12²Exponents:                            x² = 289 - 144Subtract:                                x² = 145Isolate x:                                x = √145

A space probe is launched from a platform that is just above 100 meters below sea level. The probe is expected to travel into deep space indefinitely. Write an equality showing the altitude of the probe after it is launched.

Answers

Answer:

x ≤ ∞

Step-by-step explanation:

Let x represent the height of the space probe above sea level in meters.

Initially, before launch, the space probe is launched from a platform that is just above 100 meters below sea level, hence:

x < -100 (the negative sign shows that it is below sea level).

After launch, The probe is expected to travel into deep space indefinitely. Therefore the height of the probe after it is launched is represented by the inequality:

x ≤ ∞

5. There were 30
presents left on Santa's
sleigh. In an unfortunate
incident, in which
Rudolph was unavailable
to lead the sleigh on a
foggy Christmas Eve, 2/6
of the presents fell over
the side when Blitzen led
an evasive maneuver.
How many presents fell
off?

Answers

Answer:10 presents fell off

Step-by-step explanation: to find 2/6 we can start with finding 1/6 because it’s easier. To do that we divide 30 by 6 which equals 5. because 5 is 1/6 5x2 is 2/6 so the answer is 10

Answer:

you put 30 over 1 than you then you 2 over 6 then subtract then

Step-by-step explanation:

so it would look like this

30/1 - 2/6=

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