Simplify 2(6x+21)+14

Answers

Answer 1
12x+56 is the simplified form
Answer 2
(12x+41)+14

Just multiply the 2 into the parenthesis

Related Questions

Eliza and Jamie are making cupcakes for a bake sale at school. Eliza needs 2one third c of flour for her recipe and Jamie needs 1three-fourths c for her recipe. They have 4 c of flour. Do they have enough flour for both recipes? Explain.
HELP!!!

Answers

Answer:

Givens:

They have 4c of flour.Eliza needs 2 1/3 c of flour.Jaime needs 1 3/4 c of flour.

To know if the have enough flour, we just need to sum both amounts, but before that, we need to transform all mixed numbers into fractions

[tex]2\frac{1}{3}= \frac{7}{3}[/tex]

[tex]1\frac{3}{4}=\frac{7}{4}[/tex]

Now, we sum

[tex]\frac{7}{3}+\frac{7}{4}=\frac{28+21}{12}=\frac{49}{12}\approx 4.08[/tex]

Therefore, the just have enough flour to do their recipes, because they need 4.08 c of flour approximately, and they have 4 c of flour.

Final answer:

Eliza and Jamie do not have enough flour for both of their recipes for a school bake sale. After adding the required amounts, they are short by 1/12 cup since they need 4 1/12 cups and have only 4 cups of flour.

Explanation:

Eliza needs 2 1/3 cups of flour for her recipe and Jamie needs 1 3/4 cups for hers. To determine if they have enough flour, we must add these two amounts together:

Convert 2 1/3 to an improper fraction: 2 1/3 = (2 × 3) + 1 = 6 + 1 = 7/3 cupsConvert 1 3/4 to an improper fraction: 1 3/4 = (1 × 4) + 3 = 4 + 3 = 7/4 cupsAdd the two amounts of flour: 7/3 c + 7/4 c = (7 × 4) + (7 × 3) / (3 × 4) = 28/12 + 21/12 = 49/12 cupsConvert 49/12 cups to cups: 49/12 = 4 with a remainder of 1/12, which means they need 4 1/12 cups of flour in total.

Since they have exactly 4 cups of flour, Eliza and Jamie do not have enough flour; they are short by 1/12 cup for both recipes combined.

When considering the total amount of flour needed for a recipe, it's important to make sure the sum does not exceed the available amount. In Eliza and Jamie's case, they will need to acquire more flour to meet the requirements of both their recipes for the bake sale.

A group of people goes to the theater. If each ticket costs $6.50,is $50 a reasonable estimate for the cost of 5 tickets? Explain

Answers

N0, $50 is not a reasonable estimate for the cost of 5 tickets because if you were to do the price of each ticket multiplied by the number of tickets bought, it is below $50.

$6.50 x 5 tickets = 32.50

What is the perimeter of triangle PQR? Show your work.

Answers

You know that the two triangles are congruent because two sides and one angle are congruent.

According to CPCTC, corresponding parts of congruent triangles are congruent, which means that PR and SU are equal.

3y-2=y+4
3y=y+6
2y=6
y=3

3(3)-2=9-2=7

7+4+6=17

The perimeter is 17 feet.

Hope this helps!

Answer:

PQR= 17 ft

Step-by-step explanation:

1. PQ ≅ ST = 4 ft (Given)

2. ∠PQR ≅ ∠STU (Given)

3. QR ≅ TU = 6 ft (Given)

Which makes the two triangles congruent by SAS postulate.

Now, from CPCTE, PR = SU

3y-2=y+4

Solve for y and simplify

Subtract Y from both sides.

Add 2 to both sides

3y-y=4+2

Add

2y=6

Divide both sides by 2

Y=3

Now, side PR is given by plugging in 3 for Y. PR = 3(3) - 2 = 9 - 2 = 7 ft. The perimeter of a triangle PQR is the sum of all of its sides. Perimeter = PQ + QR + PR = (4 + 6 + 7) ft = 17 ft. The perimeter of triangle PQR is 17 ft.

help plz thx verry much

Answers

the eqution representng the tracnsaction is:-

x - 0.07x =  154,380
x = 154380 / (1 - 0.07)  = $166,000

1. An enclosed wooden crate is 4 feet tall, 8 feet long, and 6 feet wide. What is the total area of the top, bottom, front, back, and the left and right sides of the crate?

Answers

Final answer:

The total area of the top, bottom, front, back, and both sides of the crate is 208 square feet. This is calculated by finding the area of each pair of identical surfaces and summing these areas.

Explanation:

To calculate the total area of the top, bottom, front, back, and the left and right sides of a crate that is 4 feet tall, 8 feet long, and 6 feet wide, we need to find the area of each of these surfaces and sum them up. There are three pairs of identical surfaces on a rectangular crate.

The top and bottom surfaces each have an area of 8 feet (length) × 6 feet (width) = 48 square feet. So, for both the top and bottom together, the area is 48 square feet × 2 = 96 square feet.The front and back surfaces each have an area of 8 feet (length) × 4 feet (height) = 32 square feet. Therefore, the total area for both the front and back is 32 square feet × 2 = 64 square feet.The left and right sides each have an area of 6 feet (width) × 4 feet (height) = 24 square feet. So, the total area for both sides comes to 24 square feet × 2 = 48 square feet.

To find the total area of all these surfaces combined, we add these amounts together: 96 square feet + 64 square feet + 48 square feet = 208 square feet.

The perimeter of an isosceles triangle is 23 cm. The base is 4 cm less than one of the equal sides. Find the length of each side.

Answers

Since it is an isos. triangle we know that both sides are equal
Let's let the base=b and the legs =L
We know that B=L-4
And L-4+L+L=23
3L-4=23
3L=27
L=9
Hope this helps! :)
Let me know if you have any questions!

How many times does 7 go into 19

Answers

7 goes into 19 2 complete times.  7*2=14, but 7*3=21

the true answer is a decimal, one around 2.71

A 1-ounce serving of cream cheese contains 7.3 grams of saturated fat. How much saturated is in 11 ounces of cream cheese

Answers

Well you multiply 7.3 by 11.
7.3×11= 80.3 grams of saturated fat.
you have to multiply 7.3 and 11 to get 80.3 hope this helps!

How to solve a system of equations using elimination

Answers

In order to use the elimination method, you have to create variables that have the same coefficient—then you can eliminate them. Multiply the top equation by 5. Next add theequations, and solve for y. Substitute y = 10 into one of the original equations to find x

To solve a system of equations by addition, also called elimination, the goal is to cancel out one of the variables by adding the equations together. However, in some cases, you will need to multiply one or both of the equations by a number in order to create a scenario where one of the variables will cancel out when the equations are added together. As long as you cancel a variable out, you will be able to add the equations together and solve for the variable. If you find one variable, you can find the other one easily.

What is the score if total question is 85 and correct is 68?

Answers

You can find percentages like this by taking the total number of questions dividing it by 100 to find out how much each question was worth, then multiplying by the number correct.

So, 85 ÷ 100 ≈ 1.18

1.18 x 68 ≈ 80

So, the score was 80%.

Solve for the variable in the following proportion. 1/4 is to 1 1/4 as 2 is to b b = 1

Answers

the answer is 10 i just did this one!!!!!!!!

Answer:

B = 10

Step-by-step explanation:

Hope this is right! ^_^

Brainliest for first answer

Answers

597 =  500 + 90 + 7

x   3=   x                3

1791 = 1500 + 270 + 21     

-0.4n is less than or equal to 6.8

Answers

ok umm of course its less has the school system failed you
it is less than that is the answer

Please answer A,B,and C if possible

Answers

all i know is that b is 6 servings can be made

Your skateboard ramp is 2⅜ feet high. Your friend's skateboard ramp is 2²/5 high. Which skateboard ramp is higher?

Answers

So what you want to do here is get the fractions to have the same denominator.

To do this, you first want to get rid of the 2 from each number.

You can just subtract 2 from each because that won't truly impact the difference, except for if they were different, as in something like 3 2/5 and 4 2/5

So you're left with the fractions 3/8 and 2/5.

Now to get them to have the same denominator, you first find the LCM, or least common multiple. This can be found by just multiplying 8 and 5 together.

8 * 5 = 40

So what you can say is:

3/8 * 5/5 = ?

Since 5/5 = 1.

3/8 * 5/5 = 15/40

2/5 * 8/8 = 16/40

So if you compare the two fractions, you can tell that your friend's skateboard ramp is slightly higher.

there are 16 more sophomore than jumoors in an 8 am algebra class.if there are 58 students in the class,find the number of sophomores and the number of juniors in the class

Answers


37 sophomores
21 juniors

Suppose point J has coordinate of -2 and JK=4. Then what is the possible coordinate(s) for K? 4 2 or -4 -4 2 or -6

Answers

Final answer:

Given that point J is at -2 and the distance between J and K is 4, the possible coordinates for K are -6 (if you count 4 steps to the left) or 2 (if counted to the right on the number line).

Explanation:

The given information tells us that point J has a coordinate of -2 and the distance JK equals 4. In a number line, distances can be counted to the left (negative direction) or to the right (positive direction). Therefore, point J will be 4 points to the left or right of, which means the coordinates for K could be -2-4 = -6 or -2+4 = 2.

Learn more about Coordinates here:

https://brainly.com/question/32034725

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One section of wood is 3 5/8 meters long. Another section is twice that long . when the two pieces are put together, how long is the piece of wood that is created?

Answers

10 7/8 meters long when the two sections are put together.
I think I’m total it would be 10.875

The value of y is twice the value of x, decreased by one. Find y.

Answers

2x-1=y  This is the equation for your problem.

The difference between twice a number and 11 is -23

Answers

the equation would look like
2x-11=-23
then you have to combine like terms then after that divide by x to get
x=-6

The polynomial function f(x) = 5x5 + 3x – 3 is graphed below.



Which statement best describes the root of f(x) at point P?
A)The root at point P may be 3/5.
B)The root at point P may be 1/5.
C)The root at point P may be 5/3.
D)The root at point P may be 1/3.

Answers

The roots of f(x) are the values for x at which f(x)=zero. The root of f(x) at point P is a bit redundant, since point P is the root of the function (and based on the graph, the only root). 

We could plug zero in for f(x) to find the value of x at Point P, but based on the graph/options provided and the complexity of the function, it may be easier to just eyeball the graph to get the correct answer. We see that point P is between 1/2 and 1 on the x-axis. 

Of the options provided, we want the value for x that satisfies: 1/2 < x < 1

a) 1/2 < 3/5 < 1     CORRECT ANSWER
b) 1/5 < 1/2           INCORRECT 
c) 5/3  > 1             INCORRECT
d) 1/3  < 1/2          INCORRECT

Which of the following best describes the algebraic expression 5(x+2) -3

Answers

You didn't give us any description, so I'll just make my own.

Three less than five times the sum of a number and two

Answer:

Step-by-step explanation:

given that,

   Algebraic expression   5(x+2) -3

  the best way to describe the number is that :-

The number is three less than the five times of the quantity of the number      plus two.

when you see the quantity it refers to 'x+2'.

this is , the most appropriate representation of the algebraic expression.

8,543.191
The 1 in the tenths place is blank the value of the 1 in the thousands place.

Answers

inside the blank, it should be greater, since 0.1 is greater than 0.001

hope this helps

The junior class has $350. The juniors want to raise at least $698 by having each member of the class pay dues. There are 116 juniors.

Which of the following inequalities could be used to find how much each junior would need to pay in dues?

A. $350 + 116x < $698

B. $350 + 116x ≤ $698

C. $350 + 116x > $698

D. $350 + 116x ≥ $698

Answers

Since all of the inequalities are the same excluding the sign, just look for the appropriate phrasing. Less than and terms like these have the sign <, greater than have the sign >, at most and terms like this have the sign ≤, and at least and terms like it have the sign ≥. Therefore, your answer is D.  

The answer is to your question is letter D


If you roll two fair dice​ (one black die and one white​ die), in how many ways can you obtain a sum of at most 11?

Answers

There are 35 different combinations

The required numbers of combination that given sum 11 are 2.

What are permutation and combination?

In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In a combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.

here,
roll two fair dice​ (one black die and one white​ die),
Total number of combination between the two is given as,
= 6 × 6 = 36

The combination that has sum equal to 11 are (5, 6) and (6, 5)

Thus, the required number of combination that given sum 11 are 2.

Learn more about permutations and combinations here: https://brainly.com/question/2295036
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Divide.

−2 4/7

Enter your answer as a mixed number, in simplified form, in the box.

Answers

Answer:
-3 [tex] \frac{3}{7} [/tex] 

Explanation:
[tex] \frac{-24}{7} [/tex] = -3 [tex] \frac{3}{7} [/tex] 
So first make the improper fraction into a mixed number by taking out all the whole numbers from the numerator (3) and making sure the proper sign is in front of the answer (- 3) your remainder is the original numerator minus the product of the answer times the denominator: 24 - (3 • 7) = 24 - 21 = 3. Rewrite the mixed number.

12.33 to the nearest tenth

Answers

12.3 is the answer i think 
The correct answer would be 

12.3 

You would round the hundredth. If the hundredth place is greater than 5, you would round up. If the hundredth place is less than 5, you would round down.

Which transformation rule maps ​ triangle ABC ​ onto triangle DEF ?



(x−7, y+3)

(x+3, y−7)

(x+7, y−3)

(x−3, y+7)

Answers

To find our solution, let us first take a point on one figure and match it with a point on the other figure. The easiest one is point C and point F. To get point C to point F, we first need to bring the x coordinate 7 units to the right, or, in other words, add 7. However, we are not yet at point F, as we need to decrease the y- value of point C by 3. Now, we are at point F. So, let's recap on what we did, we added the x by 7, and we subtracted the y value of point C by 3. 

We can turn this into words => (x + 7, y - 3).
Our answer is C) (x + 7, y - 3). Hope this helps and have a fantastic day!

Answer:  The correct option is (C) (x+7, y−3) .

Step-by-step explanation:  We are given to select the correct transformation rule that maps triangle ABC onto triangle DEF.

From the graph, we note that

the co-ordinates of the vertices of triangle ABC are A(-8, 6), B(-3, 6) and C(-7, 4).

And, the co-ordinates of the vertices of triangle DEF are D(-1, 3), E(4, 3) and F(0, 1).

The transformations from the vertices of triangle ABC to the vertices of triangle DEF are

A(-8, 6)   →   D(-1, 3) = D(-8+7, 6-3),

B(-3, 6)   →   E(4, 3) = E(-3+7, 6-3)

and

C(-7, 4)   →   F(0, 1) = F(-7+7, 4-3).

Therefore, the required transformation rule is given by

(x, y)  →  (x+7, y-3).

Thus, (C) is the correct option.

Solve for x.

−13x≤−6

Answers

−13 x ≤ − 6

Step 1: Divide both sides by -13.

−13x/−13 ≤ −6/−13x ≥ 6/13
−13x≤−6
 13x ≥ 6
     x ≥ 6/13

hope it helps

Karla has spent $48 on food. she bought milk cheese and meat. the milk cost half as much as the cheese and the meat cost half as much as the cheese. which equation would help you find the cost of the cheese?

Answers

c = cheese

milk is half of cheese....so milk costs 0.5c
meat is 4 times as much as cheese...so meat costs 4c
and $ 48 was spent

so ur equation would be : c + 0.5c + 4c = 48 <=

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