Solve each equation. Be sure to check your solution.
0.3a = 51

Answers

Answer 1

Answer:

a = 170

Step-by-step explanation:

0.3a = 51

a = 51 : 0.3

a = 51 : 3/10

a = 51 x 10/3

a = 510/3

a = 170

0.3x170 =

= 3/10x170

= 510/10

= 51

Answer 2

Answer:

a= 170

Step-by-step explanation:

[tex]0.3a = 51 \: [/tex]

[tex]a = \frac{51}{0.3} = 170 \: [/tex]

To verify:

LHS = 0.3 a = 0.3× 170= 51 = RHS


Related Questions

in which quadrant does the point (-5,0) lie?

A. Quadrant I
B. Quadrant II
C. Quadrant III
D. No Quadrant​

Answers

Answer: B quadrant two

Step-by-step explanation:

The answer would be B. Quadrant II

Find the area of this figure. Use 3.14 for pi. Wrote your answer as a decimal.

Answers

Answer:

854.865 square meters

Step-by-step explanation:

A=πr^2

Radius is half the diameter

33/2= 16.5

A=π * r^2      r^2   is   r*r

A = 3.14 * 16.5 *16.5 = 854.865

The annual health insurance premium for Ms.Everett is $12,304. Her employer pays 70% of the premium and deducts the remainder from her paycheck. Ms.Everett is paid monthly. what amount is deducted for Ms.Everett‘s paycheck for her health insurance premium?

Answers

Answer:

The amount deducted for Ms.Everett‘s paycheck for her health insurance premium is $307.6

Step-by-step explanation:

given information:

annual insurance = $12304

employer pay annually = 70%

first we calculate the annual insurance paid by the employer

employer paid annual insurance = 70% x $12304

                                                      = $8612.8

then, we calculate the insurance paid by Ms. Everett annually

Ms. Everett paid annual insurance =  $12304 - $8612.8

                                                         = $3691.2

thus, amount is deducted for Ms.Everett‘s paycheck for her health insurance premium

Ms. Everett's paycheck deduct = $3691.2/12

                                                     = $307.6

Answer:

307.60

Step-by-step explanation:

Got it right on the test.

h(x) = 0.5(x+2)²-4 identify a, h, and k

Answers

Answer:

a = .5

h= -2

k = -4

Step-by-step explanation:

h(x) = 0.5(x+2)²-4

The vertex form of a parabola is written as

y = a(x-h)²+k

Where (h,k) is the vertex

h(x) = 0.5(x- -2)²-4

a = .5

h= -2

k = -4

A bookshelf is 72 inches wide. If I plan to place books on the shelf that average ¾ inches in width, about how many books will fit on the shelf?

Answers

Number of books that can fit on the shelf = Width of bookshelf/ width of average book = 72 x [tex]\frac{4}{3}[/tex] = 96 books

I hope this answer helps! If you have any questions, feel free to ask.

−7x+y =−19 −2x+3y =−19

Answers

I think the answer is (x,y)=(3,2)

Solve for xxx. Write the smaller solution first, and the larger solution second. x^2 + 9x + 18 = 0x 2 +9x+18=0x, squared, plus, 9, x, plus, 18, equals, 0 \text{smaller }x =smaller x=start text, s, m, a, l, l, e, r, space, end text, x, equals \text{larger } x =larger x=start text, l, a, r, g, e, r, space, end text, x, equals

Answers

To solve the quadratic equation x^2 + 9x + 18 = 0, you'll have to find values of x that satisfy this equation.

To find the roots of the quadratic equation, we use the formula x = [-b±sqrt(b^2 -4ac)]/2a, where a, b, c are the coefficients of the quadratic equation of the form: ax^2 + bx + c = 0.

In our equation, we have:
a = 1 (coefficient of x^2)
b = 9 (coefficient of x)
c = 18 (constant term)

Substituting these values in our formula, we get:

x = [-9±sqrt((9)^2 - 4*1*18)] / 2*1,
x = [-9±sqrt(81 - 72)] / 2,
x = [-9±sqrt(9)] / 2,
x = [-9±3] / 2.

From here, we get two solutions:

For the smaller solution, we have: x = [-9 - 3] / 2 = -6.

For the larger solution, we have: x = [-9 + 3] / 2 = -3.

So, the solutions to the equation x^2 + 9x + 18 = 0 are x = -6 (for the smaller solution), and x = -3 (for the larger solution).

A security camera is set to record the activities in a 115 degrees sector of a parking lot as represented by the shaded region of the circle below. Which measurements is closet to the area of The parking lot recorders by this security camera?

Answers

Answer:35 degrees i think

Step-by-step explanation:

The area covered by security camera is 5642.18 square feet.

What is Area of sector?

The region inside the portion of the circle formed by two radii and an arc is known as the area of a sector. It only covers a small portion of the entire circle's surface.

Area of sector = [tex]\theta[/tex] / 360 πR²

Given:

R= 150 /2 = 75 feet

Now, Area of sector = [tex]\theta[/tex] / 360 πR²

                                  = 115 / 360 x 3.14 x 75 x 75

                                  = 135412.5/24

                                  = 5642.18 square feet

Hence, the area covered by security camera is 5642.18 square feet.

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Find x help me pls I will mark brainiest to first person to answer

Answers

Answer:

39.25 units squared

Step-by-step explanation:

Look at the attached picture

Hope it will help u....:)

The graph below shows the average daily temperatures on January 1 from 1900 to 1934 for city A.

Answers

Answer:

27 degrees

Step-by-step explanation:

The standard deviation means it can be up or down by that many degrees. The temperatures can be between 20-28 degrees. 27 degrees is the only option in this set of numbers.

Answer:

27 degrees

Step-by-step explanation:

Hope this helps!!!!

It's on the picture, could someone help me out?

Answers

Answer: separate because it would include more and you would save more

Step-by-step explanation:

first it is on sale second it would save you more money.

Answer:

the two packed because :

Step-by-step explanation:

first you need to find out the total of the two separated and for one it is £12.49 but for the second it is 50% off so 50% is a half so half of £12.49 is £6.25 so you now need to add them both together to find out how much two bottles cost separate  which is £18.74. now you need to have a look see which costs less this is the two together in the pack so the answer is you would rather buy the two packed one because they are cheaper  

What is the factored form of the polynomial?

x2 – 16x + 48

Answers

Answer:

(x-12)(x-4)

Step-by-step explanation:

x^2 – 16x + 48---> your goal: a^2 - 2ab+ b^2 ,(a-b)^2

[x^2 - 2(8)x+48+16]-16

[x^2-2(8)x+64]-16

[(x-8)^2]-4^2  ---> a^2 - b^2 : (a-b)(a+b)

(x-8-4)(x-8+2)

(x-12)(x-4) ----> always check back work after have done

Check x^2-4x-12x+48

          x^2-16x+48 equal the given

Answer:

(x-12)(x-4)

Step-by-step explanation:

Outside each house, there is a mailbox. There are 3 letters in each
of the six mailboxes. How many letters are there in total?​

Answers

Answer:

18

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

3 letters per mailbox. 6 mailboxes. 3 * 6 = 18. Total: 18 letters

6x + 9 = 75 jdjdkdjdjdndndnddjdk

Answers

X = 11

6x11=66

66 + 9 = 75

Answer:

x =11

Step-by-step explanation:

6x + 9 = 75

Subtract 9 from each side

6x + 9-9 = 75-9

6x = 66

Divide each side by 6

6x/6 = 66/6

x = 11

Giving a lot of points help!

What is the value of x?

Answers

Answer:

Step-by-step explanation:

a triangle = 180

Q = 180 - (90 + 45)

Q = 180 - 135

Q = 45

Step-by-step explanation:

With reference angle 60°

perpendicular (p) = 2√3

hypotenuse (h) = ?

We know

sin 60° = p/h

√3/2 = 2√3 / h

cross multiply

h =( 2√3 * 2)/ √3

therefore h = 4

So

Now

with reference angle 45°

perpendicular (p) = x

base (b) = 4

Now

tan 45° = p/b

1 = x / 4

Therefore x = 4

Hope it will help you :)

cup
00:00 -
A recipe calls for 2 fluid Ounces of cooking oil. Nadine measures the oil into a measuring cup to the
1/4 cup mark
Did Nadine pour the correct amount of oil?

A
No, she poured 1 ounce too much.
B
No, she poured 1 ounce too little
C
No she poured 0 5 ounce to little
D
Yes she pured the correct amount

Answers

Answer:

D - Yes she pured the correct amount

Step-by-step explanation:

In 1 cup, there are 8 fluid ounces.

A fourth of a cup is 2 fluid ounces.

Nadine poured the correct amount of cooking oil, since 2 fluid ounces is equal to a 1/4 cup.

Aubree is trying to understand why a student would pick computer technology as a college major. 64% of the sample she surveyed said that they picked computer technology because of the vast employment opportunities. Her survey comes from 1200 students in 30 different colleges across the nation. Can we infer a parameter from this information? What would it be?

A) No; 64% is not enough to create an inference.
B) Yes; the parameter is 30 of the colleges, so we can infer the same.
C) No; there are no statistics in this scenario.
D) Yes; the statistic is 1200, so we can infer that 1200 students are computer technology majors.
E) Yes; the statistic is 64% of computer technology majors choose the major because of the employment opportunities. We can infer that the parameter is the same.

Answers

Answer:

E.   Yes; the statistic is 64% of computer technology majors choose the major because of the employment opportunities. We can infer that the parameter is the same.

if i can have brainliest that would be great

Try it
Solve for x in this equation: a - b
= cx+d
Step 1: Subtract
from both sides of the equation.

Answers

a-b=xc+d
-d. -d
—————-
a-b-d=xc
divide by c
—————
a-b-d=x
——-
c

answer —> a-b-d/c
“a minus b minus d all divided by c”

Answer: cx

Step-by-step explanation:

Which statement is true?
Question 10 options:

A)

|–3| = 3 and –|4| = 4

B)

|–3| = 3 and –|–4| = –4

C)

|–3| = 3 and |–4| = –4

D)

–|3| = 3 and |4| = 4

Answers

D. Hope this helps :))

Answer:

A

Step-by-step explanation:

The walls around a number make them a regular everyday number, meaning it turns negatives into positives.

So -3 becomes 3.

and -4 becomes 4.

Therefore, A is the correct answer.

PLEASE ANSWER ASAP. What is the diagonal length of a photo frame with dimensions that are 24 cm x 7 cm?

A. 19 cm
B. 25 cm
C. 28 cm
D. 32 cm

Answers

Answer:

B

Step-by-step explanation:

The diagonal will become the hypotenuse of a right triangle, with the legs being 24 and 7.

Since it is a right triangle, we can use Pythagorean theorem

a^2+b^2=c^2

We know the legs: a and b, are 24 and 7, so we can substitute them in

24^2+7^2=c^2

Solve the exponents

576+49=c^2

Add

625=c^2

Take the square root of both sides

[tex]\sqrt{625}[/tex]=[tex]\sqrt{c^{2} }[/tex]

c=25

So, the diagonal will be 25 cm, or choice B

Answer:

25cm or b

Step-by-step explanation:

Solve for x - 1/3 = 2

Answers

Answer:

x=2 1/3

Step-by-step explanation:

Answer:

x = 2 1/3

Step-by-step explanation:

x - 1/3 =2

Add  1/3 to each side

x - 1/3+1/3 = 2+1/3

x = 2 + 1/3

x = 2 1/3

Which better describes the data set, the mean or the median? Select the answer with the best explanation. A The median, because it is in the middle of the set. B The mean, because it is closer to most of the data values than the median is. C The mean, because it is the average of all the values of the set. D The median, because it is closer to most of the data values than the mean is.

Answers

Answer:

C

Step-by-step explanation:

The mean of the data describes the data set , because it is the average of all the values of the set

What is Mean?

The mean value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values.

Mean = Sum of Values / Number of Values

Given data ,

Let the data set be represented as A

Now , the value of A is noted

And , the median of the data set is the middle term of the set

where the mean value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values

So , the average values of the set determines the data values as it is a compilation of all the data values

Hence , the mean of the data describes the set

To learn more about mean click :

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convert the unit of weight 3 1/2lb=?oz​

Answers

Answer:

56 oz

3 1/2 lb = 56 oz​

OR

3.5 lb = 56 oz

Answer:

52 ounces.

Step-by-step explanation:

1 pound =16 ounces. From there you can just convert. So, 3*16=48 ounces., and 1/2 pound *16 ounces equal 4 ounces.

4+48=52 ounces.

So in total, 3 1/2 pound equals to 52 ounces.

The tour of the art museum started at 9:35 Ask Your Teacher It lasted for 1 hour 20 minutes. What time did the tour end?

9:55
10:35
10:45
10:55

Answers

Answer:10:55

Step-by-step explanation:

9:35+1 hour is 10:35, add 20 minutes and you get 10:55

The tour ended at 10:55. If you add one hour to 9:35 out of the one hour and twenty minutes, you will get 10:35 then you add the remaining 20 minutes to get 10:55.

Which expression is equivalent to the following expression? 3(2x + 3)

5x + 6

6x + 6

6x + 9

5x + 9

Answers

Answer:

6x + 9

Step-by-step explanation:

distribute the 3 so then you get 3(2x) which equals 6x and 3(3) which equal 9 so

6x+9

6× + 9

Multiply each term in the parentheses by 3.

What is the quotient of 9.18 divided by –3.4?

–2.7

–0.27

0.27

2.7

Answers

Answer:

-2.7

Brainliest would would be appreciated

Answer:

-2.7

Step-by-step explanation:

got 100% on it


In a triangle ABC, if angle B= 60° and the ratio of two sides is a: C= 2: sqrt3 + 1, then angle A=
45°
40°
35
55°

Answers

I’m pretty sure the answer is 45

Find the volume of a cylinder with a diameter of 10 inches and a height that is
three times the radius. Use 3.14 for pi and round your answer to the nearest
tenth. (Hint: You may only enter numerals, decimal points, and negative signs in
the answer blank)

Answers

Answer:

1178.1

Step-by-step explanation:

pi*radius^2*height

Israel must choose two different elective classes next year. The list shows all the possible outcomes, in his order of preference Band and painting, painting and chorus, ceramics and band, band and drama, chorus and ceramics, drama and chorus

Answers

Answer:

The answer is A and C

"He had to choose between band and chorus."

"He had to choose between painting, ceramics, and drama."

Your Welcome!

Answer:

A.He had to choose between band and chorus.

B.He had to choose between painting, ceramics, and drama.

Step-by-step explanation:

The graphed line shown below is y = negative 2 x minus 8.

On a coordinate plane, a line goes through (negative 4, 0) and (negative 2, negative 4).

Which equation, when graphed with the given equation, will form a system that has infinitely many solutions? y = negative 2 x minus 8.

y = negative (2 x + 8)
y = negative 2 (x minus 8)
y = negative 2 (x minus 4)
y = negative (negative 2 x + 8)

Answers

Answer:

A

Step-by-step explanation:

Our given equation is: y = -2x - 8

In order to have an equation with infinitely many solutions, it needs to be the same as the given equation.

Look at the answer choices:

A) y = -(2x + 8) = -2x - 8

This is the exact same equation, which means that any solutions for the given will also be solutions for this one. That means there will be infinitely many solutions.

B) y = -2(x - 8) = -2x + 16

We can tell this is definitely not the same as the given, so eliminate.

C) y = -2(x - 4) = -2x + 8

Again, this has a +8 instead of -8, so it's not the same and wrong.

D) y = -(-2x + 8) = 2x - 8

Here, we have positive 2 as the slope instead of -2, so it's not the same and wrong.

Thus, the answer is A.

Hope this helps!

The question is wich of the 4 formulas is equivalent to

y = -2x-8

only the first option is equivalent / basically the same and would therefore give out infinite intersections/solutions

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Daily demand 1 comma 400 connectors Lead time 3 days Safety stock 1.00 day Kanban size 500 connectors Number of kanbans = nothing kanbans (round your response to the nearest whole number). Danila breeds peregrine falcons. She recorded the breadth (in mm) of each egg and the mass (in g) of the falconchick that hatched from it.After plotting her results, Danila noticed that the relationship between the two variables was fairly linear, so sheused the data to calculate the following least squares regression equation for predicting the mass of the chickfrom the breadth of the egg:y = -47 + 2xWhat is the residual of a 29 g falcon chick who hatches from an egg with a breadth of 40 mm ? Evaluate the following expression[102+(30-15)7+38 Calculate the standard free energy change for the combustion of one mole of methane using the values for standard free energies of formation of the products and reactants. 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Cul de las siguientes fracciones esequivalente al decimal 0.18?~= Ello In numbering all the bones who said seems like everybodys got authority anymore but me In Tammy's video game, she receives a treasure box for completing a mission. Each treasure box gives Tammy a special item. Every treasure box has a 17%chance of having an amulet, a 29% chance of having a wand, and a 54% chance of having a ring.Tammy wants to simulate what could happen for the next ten treasure boxes.Let 1 to 17 represent a treasure box having an amulet, 18 to 46 a wand, and 47 to '100 a ring.A random whole number from 1 to 100 is generated for each simulated treasure box.Here is Tammy's simulation.Treasure box 1Random number 552 3 457 100 3251362371486096102X5?In the simulation, which item was in each treasure box?(a) Treasure box 2: (Choose one)(b) Treasure box 4: (Choose one)(c) Treasure box 7: (Choose one) The sizes of seven exterior angles of an octagon are: 42, 110, 13, 67, 55, 11 and 53. 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