Write and solve an equation to find the width of the box if its volume is 80 cubic centimeters. Then find its surface area.

Answer:

Step-by-step explanation:

Cost of item = x

Percentage discount = 20%

Discount on item :

20% * x

20/100 * x

0.2x

Cost of item after discount :

Initial cost - discount

x - 0.2x

0.8x

Answer: 63

Maybe?

If it’s wrong sorry :)

Answer:

TU = 2 (HD)

Hence, TU = 80

Step-by-step explanation:

line formed by joining 2 mid points of a traingle = 0.5 times of length of 3rd side.

Answer:

I think it is 92. UV and TV are the two sides of the triangle, and yoy are left with the longest side (hypotenuse). Therefore you can use the pythagorean theorem to find your answer a²+b²=c²

So 40+52=92

Answer:

ans = <ebc= 115°

hope this will help

.

.

The value of QR in the triangle is 16 units

Recall that Congruence of triangles represents the similarity of triangles. Two triangles are congruent if their corresponding sides and angles are congruent

The question states that  ΔPML≅ΔTRQ

This implies that ML/QR = PM/TR

⇒(7x-9)/2x+2  = 35/14

Cross and multiplying we have

14(7x-9) = 35(2x+2)

=98x-126 = 70x +70

98x-70x = 70+126

⇒28x = 196

Making x the subject of the formula

x= 196/28 = 7

Recall that the side QR = 2x+2

Then by substitution,

2(7) +2

14+2 =16

This therefore keeps the side QR as 16 units.

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Answer: 1/6

Step-by-step explanation:

Since Sam has to memorize 1/2 of his lines and he memorizes 1/3 of his lines today, the fractions of his lines that he has left to memorize will be gotten by subtracting 1/3 from 1/2. This will be:

= 1/2 - 1/3

= 3/6 - 2/6

= 1/6

Therefore, he has 1/6 of his lines left to memorize.

Answer:

1/6

Step-by-step explanation:

The fractions of his lines will he have left to memorize is calculated as:

Number of lines he has to memorize - Number of line he memorized today

Number of lines he has to memorize = 1/2

Number of line he memorized today = 1/3

Hence,

= 1/2 - 1/3

Lowest Common Denominator = 6

= 3 - 2/6

= 1/6

Answer:

The answer is AC=45

Step-by-step explanation:

it's an Isosceles triangle

Answer:

A) f^5

Step-by-step explanation:

Answer:

[tex]x+2y = 5\\x = 5 -2y\\\\Substitute \ x \ in \ second \ equation \\\\3(5-2y) +5y = 14\\15 -6y +5y = 14\\-y = 14 -15\\-y = -1\\y = 1\\Substitute \ y = 1 \ in \ x = 5 -2y:\\ x = 5 -(2\cdot 1) = 5-2=3\\[/tex]

Option (3, 1)

Answer:

The solution is (3, 1)

Step-by-step explanation:

Use the method "elimination by addition and subtraction."  Multiply all terms of the first equation by -3, obtaining

-3x - 6y = -15

and combine this result with the second equation:

-3x - 6y = -15

3x  + 5y = 14

-----------------------

          -y = -1, or y = 1.

Substituting this result, y = 1, into the first equation yields

x + 2(1) = 5, or x + 2 = 5, or x = 3.

The solution is (3, 1)

Answer:

10 units

Step-by-step explanation:

Area of the triangle (A') = 1/2bh

A' = 1/2bh............ Equation 1

Where b = base of the triangle, h = height of the triangle

From the diagram,

Given: b = 12.5 unit, h = 4 unit

Substitute into equation 1

A' = 1/2(12.5)(4)

A' = 25 squared unit.

Also,

Area of the rectangle (A) = Lenght(L)×width(w)

A = Lw............ Equation 2

From the question,

If the area of the rectangle is 40% larger than the area of the triangle

Therefore,

A = 1.4A'

A = 1.4(25)

A = 35 squared unit.

Also given: w = 3[tex]\frac{1}{2}[/tex] = 7/2

Substitute into equation 2

35 = L×7/2

7L = 35×2

7L = 70

L = 70/7

L = 10 units

Answer:

18

Step-by-step explanation:

mark me as

brainliest

18

Answer:

144 ounces

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

50 - 40 + c

50 - 40 + 4

10 + 4

14

Answer:

The answer is: u-3>-6

This is because 10-3=7 and 7>-6

Answer:

x=-3

Step-by-step explanation:

Hi there!

1) Determine the slope

Parallel lines always have the same slope. However, the given line x=8 is a vertical line organized in the form x=d, where d is the x-intercept. Therefore, the slope is undefined, and our line will also have an undefined slope.

Now, because this line will also be a vertical line, it will also be organized like:

x=d

2) Determine the x-intercept (d)

Note that all the points a vertical line passes through will have the same x-coordinate. We're given that this line passes through the point (-3,-2), so therefore, the x-intercept will be (-3,0).

Plug this into x=d:

x=-3

I hope this helps!

Answer:

38.9

Step-by-step explanation:

Sin x = opposite/hypotnuse

Sin-1 = 32/51

=38.86

=38.9

Answer:

wdym

Step-by-step explanation:

i dont get it

Step-by-step explanation:

1 reflection 2.rotation 3 reflection 4 rotation

9514 1404 393

Answer:

  no iterations shown; the root is approximately -1.12911

Step-by-step explanation:

If your method of successive approximation is the Bisection Method, and if your initial interval is [-2, -1], then successive values of x used for reducing the interval are ...

  -1.5, -1.25, -1.125, -1.1875, -1.15625

__

If your method of successive approximation is Newton's method, and if your initial guess is -1.5, then successive values of x will be ...

  -1.1905079, -1.1309053, -1.1291151, -1.1291135

Another iteration confirms this last value is accurate to 8 significant figures.

Answer:

-5/4

-9/8

-19/16

Step-by-step explanation:

This is the answer given

Answer:

7min:15min

Step-by-step explanation:

28min:1 hour

28min:60 minutes

14min:30min

7min:15min

Answer:

I don't know but you might end up with a C

Step-by-step explanation:

OR A D

Answer:

y = ±[tex]\sqrt{x-3}[/tex]

Step-by-step explanation:

step 1: substitute 'x' for 'y'

x = y² + 3

y² = x - 3

last step: solve for 'y'

y = ±[tex]\sqrt{x-3}[/tex]

Answer:

[tex]50\:\text{kg water}[/tex]

Step-by-step explanation:

This question implies the constant rate or proportion of water to mass. Therefore, we can set up the following equation:

[tex]\frac{60}{90}=\frac{x}{75},\\\\x=\frac{75\cdot 60}{90}=\boxed{50\:\text{kg water}}[/tex]

Answer:

50 kg

Step-by-step explanation:

90 kg = 60kg

/90         /90

1 kg = 0.667kg

1 kg  = 0.667kg

* 75kg    * 75kg

75kg = 50 kg

Answer:

I think its 132.

The total surface area of the triangular prism is 200 cm².

Surface area = (Perimeter of the base × Length of the prism) + (2 × Base Area)

First, find the height of the prism.

Let h is the height of the prism

Use the pythagoras theorem

then

5² = (6/2)² + h²

5² = 3² + h²

25 = 9 + h²

h² = 25 - 9

h² = 16

h =4

Now apply the surface area formula

total surface area = ( 5 + 5 + 6) 11 + 6×4

                             = 16 × 11 + 24

                             = 176 +24

                             = 200 cm²

Hence the surface area is 200 cm²

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Answer:

D

Step-by-step explanation:

I've attached one of those tables below

I'm going to solve this using the FV annuity formula

[tex]R(\frac{(1+i)^n-1}{i})[/tex]

where i is the effective rate of interest

r is the payment

n is the number of periods

to find the effective rate of interest we need to divide .08/2 (because the interest is compounding once every six months)

and the number of periods is 4*2 (because there are two periods a year(

[tex]1500(\frac{(1+.04)^8-1}{.04})=13821.33[/tex] which is equal to D

To use the table go to the effective rate of interest (4%) and then number of periods (8)

The number is 9.2142

mulitply that by the payment (1500) and get 13821.3 (D)

*the reason that the answers are slightly different is because the annuity table rounded whereas in the formula it was more exact*

9514 1404 393

Answer:

  D.  $13,821.30

Step-by-step explanation:

The table is given in terms of interest rate per period and number of periods. The table assumes that money is invested at the same interval that interest compounding occurs.

Since you're investing $1500 every 6 months for 4 years, the 8% annual interest rate becomes 8%·(6/12) = 4% interest each 6-month period. In 4 years, there are 8 periods of 6 months. So, you look for the multiplier shown in the table that is at the intersection of 4% interest and 8 periods.

That multiplier is 9.2142, so the future value is ...

  FV = amount invested per period × multiplier from table

  = $1500 × 9.2142 = $13,821.30

__

The above is how you use the table.

You can also choose the correct answer based only on your number sense, without bothering with the table.

You are paying into the annuity 8 payments of $1500 each. That is a total input of 8 × $1500 = $12,000. You will be earning interest on that money, so the future value of the annuity is more than $12,000. Only one answer choice fits that description:

  D.  $13,821.30

Answer:

42.25 feet ³

Step-by-step explanation:

Volume of the box = length × width × height

Length = 6 1/2 feet = 6.5 feet

Width = 3.25 feet

Height = 2 feet

Volume of the box = length × width × height

= 6.5 feet × 3.25 feet × 2 feet

= 42.25 feet ³

Volume of the box = 42.25 cubic foot

Answer: 1251

Step-by-step explanation:

Given

Leia is setting up 417 toy cars

Each car needs 3 batteries to drive

So, 417 cars need

[tex]\Rightarrow 417\times 3\\\Rightarrow 1251\ \text{batteries}[/tex]

Thus, 1251 batteries is needed.

Answer:

a) 2.188

b) John's rent is not an outlier

c) His rent has to be higher than $1,235 to be an outlier

Step-by-step explanation:

The mean monthly rent of students at Oxnard University is $780 with a standard deviation of $208.

(a) John’s rent is $1,235. What is his standardized z-score?

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score = $1235

μ is the population mean = $780

σ is the population standard deviation = $208

Hence,

z = 1235 - 780/208

z = 2.1875

Approximately to 3 decimal place = 2.188

(b) Is John’s rent an outlier?

No it isn't

(c) How high would the rent have to be to qualify as an outlier?

John’s rent would have to be higher than $1235