A 20-oz bottle of soda costs $2.98.What is the cost per ounce?

Answer:

5 units

Step-by-step explanation:

The computation of the Length of DG is as follows;

Given that

∠EDH ≅ ∠EDG,

EH = 9,

EJ = 4.

Based on the above information, as we can see that the two sides i.e. corresponding are congruent

EH = EG  (CPCTC)

EG = 9.........(i)

Now

EG = EJ + JG

EG = 4 + JG ........(ii)

Now after solving this

JG = 5 units

Hence, the second option is correct

Answer:

5

Step-by-step explanation:

i got it right

Answer:

all of them.

Step-by-step explanation:

Hope this helps!

<3

~nxmbus

Step-by-step explanation:

First, we have to prove that the sum of 3 consecutive integers is a multiple of 3.

Let x be the smallest of the 3 consecutive integers. We have (x + 1) and (x + 2) as our other consecutive integers.

Notice that x + (x + 1) + (x + 2) = 3x + 3 = 3(x + 1), which is a multiple of 3.

Hence we have proven our point. Back to the question:

The possible sum has to be a multiple of 3. Searching the options, only 44562 is a multiple of 3. (44562 / 3 = 14854) Hence 44562 is the answer. (C)

Answer:

1/3

Step-by-step explanation:

The probability of an event E in a sample space S is P(E) = desired outcome/total number of possible outcomes.

The probability of encountering a red light at the intersection P(red light on) = time it takes red light to stay on/total time all the lights stay on, where desired outcome = time it takes red light to stay on on route A and total number of possible outcomes = total time all the lights stay on.

Since all the other two lights have to come on after the red light goes off and before the red light comes on again, and the red light has to be on to encounter it at an intersection.

So, P(red light on) = 60 s/(60 s+ 45 s+ 75 s)

= 60 s/180 s

= 1/3

Answer:

(w² - 4w - 3) (w² + 4w - 3)

Step-by-step explanation:

w² + 4w³ - 3w² -4w³ - 16w² + 12w-3w² - 12w + 9

Step-by-step explanation:

2² * 3 * 5 = 4 * 3 * 5 = 60.

3² * 5² = 9 * 25 = 225.

Answer:

A) 60

B) 225

Step-by-step explanation:

A) The factorization of a number is finding the factors that, when multiplied together, form the original number. As an example, one instance of the factorization of 24 would be 6 and 4, since 6 × 4 = 24.

The prime factorization of a number is finding the factors of a number and restricting them to only include primes, which are numbers with no other factors except themselves and 1.

Hence, all you have to do for A) is to multiply all the factors together, which is [tex]2^{2} \cdot 3 \cdot 5[/tex], which equates to 60.

B) Since this three-digit number has 5 as a prime factor, it has to end in a 5 or 0. This narrows our search hugely.

Accounting for the fact it has a 3 as a prime factor, the number has 3 × 5 = 15 as a factor. This yet again narrows our search hugely.

Finally, to find the square number, there is actually a really simple way of doing this; simply square 15 to get 225. We can confirm this is a square number because we squared 15 to get that number; hence, 225 is an answer.

Hope this helped!

Answer:

A

Step-by-step explanation:

The student must have thought that every single arrowhead is a line of symmetry, so since there are 10 arrowheads, there must be 10 lines of symmetry. This is incorrect because if you look closely at the diagram, each line has 2 arrowheads, so the student is overcounting by a factor of 2. They should have just counted the number of lines, not arrowheads. Therefore, there must be 10/2 = 5 lines of symmetry, not 10. Hope this helps!

Answer:

-1

Step-by-step explanation:

Simplify both sides: 3x + (2(x) + 2(-9)) = 8x + x -14

Add/Combine like terms: 3x+2x= (5x-18) = (9x-14)

New Equation: 5x-18 = 9x-14

add 14 to both sides: 5x-4 = 9x

Subtract 5x from both sides: -4 = 4x

Divide both sides by 4 to get: -1 = x

Answer: x = -1

Answer:

655

Step-by-step explanation:

655-369=286

I hope this is correct and have a great day

Answer:

1/2

Step-by-step explanation:

1/2 because if you divide 2 pizzas into 4 then you can get 4 1/2s.

if you slice the pizza into fourths then each person will get 2/4rts and which is the same thing as 1/2 only 1/2 is simplified.

Answer:

B. -3 > -4

Step-by-step explanation:

have a nice day!!

Answer:

B.

Step-by-step explanation:

Answer:

the answer is A because none of the x-values or y-values repeat

Step-by-step explanation:

Answer:D

Step-by-step explanation:

An auto repair shop charged $75/h  for labor plus an additional $89 for parts.

If the shop worked for 2 h.

C = Represented the total repair cost .

Than the equation becomes

C = 75 × 2 + 89

C = 75 (2) + 89

Therefore the total cost for the repair  is represented by C = 75 (2) + 89 .

Option (D) is correct .

Answer:

Step-by-step explanation:

the charge is 77 dollars per hour of labor

Answer:

-23

Step-by-step explanation:

h(-3) = (-3)^3 + 4

      = -27 + 4

      = -23

Answer:

-23 hope that helps :)

Step-by-step explanation:

28.5

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Answer: $170.25 + $3.78x = $586.05

Step-by-step explanation:

Answer:

the answer is 66

Step-by-step explanation:

Answer:

Let's solve your inequality step-by-step.

3600+1.02x<2000+1.04x

Step 1: Simplify both sides of the inequality.

1.02x+3600<1.04x+2000

Step 2: Subtract 1.04x from both sides.

1.02x+3600−1.04x<1.04x+2000−1.04x

−0.02x+3600<2000

Step 3: Subtract 3600 from both sides.

−0.02x+3600−3600<2000−3600

−0.02x<−1600

Step 4: Divide both sides by -0.02.

−0.02x

−0.02

<

−1600

−0.02

x>80000

Step-by-step explanation:

Answer:

I think it is 71.222222 repeating

Step-by-step explanation:

Hope this helped have an amazing day!

9514 1404 393

Answer:

  2a. 0.7, 0.3, -0.1, -0.5, -0.9

  2b. 1, 3, 9, 27, 81

  3a. geometric; r = 1/5

  3b. arithmetic; d = -9

  4. 234

  5. 1/32

Step-by-step explanation:

2a. Start with the first term and add the common difference to get the next term.

  0.7

  0.7 -0.4 = 0.3

  0.3 -0.4 = -0.1

  -0.1 -0.4 = -0.5

  -0.5 -0.4 = -0.9

The first 5 terms are 0.7, 0.3, -0.1, -0.5, -0.9.

__

2b. Start with the first term and multiply by the common ratio to get the next term.

The first 5 terms are 1, 3, 9, 27, 81.

__

3a. Obviously, the difference between 40 and 8 is not the same as the difference between 8 and 1.6. So, we look to see if the ratios are the same. They are:

  8/40 = 1.6/8 = 1/5

This is a geometric sequence with a common ratio of 1/5.

__

3b. If the sign changes, but does not alternate, it cannot be a geometric sequence. The common difference is ...

  -5 -4 = -14 -(-5) = -9

This is an arithmetic sequence with a common difference of -9.

__

4. Use n=50 and evaluate.

  [tex]a_{50}=-11+5(50-1)=\boxed{234}[/tex]

__

5. Use n=7 and evaluate.

  [tex]g_7=2\cdot\left(\dfrac{1}{2}\right)^{7-1}=\dfrac{2}{2^6}=\dfrac{1}{2^5}=\boxed{\dfrac{1}{32}}[/tex]

Answer:

D

Step-by-step explanation:

Step-by-step explanation:

I hope its help you

Answer:

X=22

Step-by-step explanation:

All the angles in every triangle must add up to 180 so we can subtract 23 and 135 from 180 to get 22.

Answer:

x=22

z=135

y=23

Step-by-step explanation:

First, start with x in the picture. All angles in a triangle add up to 180 degrees. So, add 135+23 and then subtract that from 180.

135+23=158

180-158 = 22 degrees

Angle z is congruent to the larger angle on the other triangle. So, that means z=135.

Angle y is equal to the angle across from it. Y=23

The solution is : she needs at least 16 points.

x + 64 ≥ 80

x ≥ 16

An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.

here, we have,

Given

Madeline has to earn at least 80 points for her science fair project. So far on the rubric she has 64 points.

so,

Total = 80 (at least)

accumulated = 64

Required

Express as an inequality

In inequalities, at least means ≥

So, the expression is:

Where x represents the additional points

x + 64 ≥ 80

Solve for x

x ≥ 16

Hence, she needs at least 16 points.

To learn more on inequality click:

brainly.com/question/24853349

#SPJ3

Answer:

y = 2x + 10

Step-by-step explanation:

The rate is 2 and the y coordinate starts at 10. You use the y = mx + b formula

Answer:

Step-by-step explanation:

Given:

Missing side of the triangle is:

Perimeter is 60: