Find the unit rate: $3.60 for 3 pounds of apples. How much does it cost for 1 pound of apples?

Answers

Answer 1

Answer:

It should cost $1.2 for 1 pound of apples.

Step-by-step explanation:

To find the unit rate, divide 3.60 by 3. This gives us 1.2, which shows that for every pound you would pay $1.2.

Answer 2

If 3 pounds of apples cost $3.60 then costs $1.20 for 1 pound of apples.

What is ratio?

Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.

If a and b are two values, their ratio will be a:b.

Given that,

Price for 3 pounds of apples = $3.60.

To find the cost of 1 pound of apple,

Use ratio property,

3 pounds cost = $3.60

1 pound cost = $3.60 / 3

1 pound cost = $1.20

The required cost of 1 pound of apples is $1.20.

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Related Questions

A bag of marbles has 5 blue marbles, 3 red marbles, and 6 yellow marbles. A marble is drawn from the bag at
random. How many possible outcomes are there?
3
5
6
14

Answers

Answer:

14

Step-by-step explanation:

As you are only pulling out one marble, the colors are irrelevant; each marble has exactly one 'chance' at getting pulled out. There are 14 marbles, so there are 14 possible outcomes. [Based on how basic the problem is, I tried to stick to basic mathematical terms].

Answer:14

Step-by-step explanation:

I just did it :)

Justin opened a savings account with $500. He plans to save $50 per week from his paycheck. Which equation would represent his total balance, y, after x weeks of saving?
A . x = 50y + 500
B . y = x
C .y = 500x + 50
D. y = 50x + 500

Answers

The answer will be D.

A chess club with 60 members is electing a new president. Teresa received 9 votes. What percentage of the club members voted for Teresa?

Answers

Answer:

15%

Step-by-step explanation:

9/60 = 0.15

The percentage of the club members voted for Teresa of approximately 15% of the chess club members voted for Teresa.

To calculate the percentage of club members who voted for Teresa, we can use the following formula:

Percentage = (Number of votes for Teresa / Total number of club members) × 100

Given that Teresa received 9 votes and the chess club has 60 members, we can plug these values into the formula:

Percentage = (9 / 60) × 100

Now, let's calculate the percentage:

Percentage = (0.15) × 100

Percentage ≈ 15%

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Rafael spins the pointers of the two spinners shown at the right. Find the probability of each possible sum

Answers

Step-by-step explanation:

P(sum)= 2

On the left:  possible outcome has the value of 1 (1) = [tex]\frac{1}{2}[/tex]

On the right: 1 possible outcome has the value of 1 (1)= [tex]\frac{1}{3}[/tex]

=> the probability of possible P(sum)= 2

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

=  [tex]\frac{1}{6}[/tex]

P(sum)= 3

On the left:  possible outcome has the value of 1  = [tex]\frac{1}{2}[/tex]

On the right: 1 possible outcome has the value of 2 = [tex]\frac{1}{3}[/tex]

On the left:  possible outcome has the value of 2  = [tex]\frac{1}{2}[/tex]

On the right: 1 possible outcome has the value of 1 = [tex]\frac{1}{3}[/tex]

=> the probability of possible P(sum)= 3

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

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

P(sum)= 4

On the left:  possible outcome has the value of 1  = [tex]\frac{1}{2}[/tex]

On the right: 1 possible outcome has the value of 3 = [tex]\frac{1}{3}[/tex]

On the left:  possible outcome has the value of 2  = [tex]\frac{1}{2}[/tex]

On the right: 1 possible outcome has the value of 2= [tex]\frac{1}{3}[/tex]

=> the probability of possible P(sum)= 4

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

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

P(sum)= 5

On the left:  possible outcome has the value of 2  = [tex]\frac{1}{2}[/tex]

On the right: 1 possible outcome has the value of 3 = [tex]\frac{1}{3}[/tex]

=> the probability of possible P(sum)= 5

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

=  [tex]\frac{1}{6}[/tex]

The probability of getting sum 2 is [tex]\frac{1}{6}[/tex]

The probability of getting sum 3 is [tex]\frac{1}{3}[/tex]

The probability of getting sum 4 is [tex]\frac{1}{3}[/tex]

The probability of getting sum 5 is [tex]\frac{1}{6}[/tex]

Probability :

Two spinners shown in the question.

First spinner is divide into two equal parts.

Second spinner is divided into three equal parts.

The probability of getting sum 2 is,

             [tex]P(sum=2)=\frac{1}{2} *\frac{1}{3}\\ \\P(sum=2)=\frac{1}{6}[/tex]

The probability of getting sum 3 is,

             [tex]P(sum=3)=(\frac{1}{2}*\frac{1}{3}) +(\frac{1}{2}*\frac{1}{3})\\\\P(sum=3)=\frac{1}{3}[/tex]

The probability of getting sum 4 is,

             [tex]P(sum=4)=(\frac{1}{2}*\frac{1}{3}) +(\frac{1}{2}*\frac{1}{3})\\\\P(sum=4)=\frac{1}{3}[/tex]

The probability of getting sum 5 is,

             [tex]P(sum=5)=\frac{1}{2} *\frac{1}{3}\\ \\P(sum=5)=\frac{1}{6}[/tex]

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If the point G(–4, 6) was moved horizontally 4 units to the left, which of the following is the correct mapping to define the translation? (x, y) Right-arrow (x, y + 4) (x, y) Right-arrow(x + 4, y) (x, y) Right-arrow (x, y – 4) (x, y) Right-arrow (x – 4, y)

Answers

Answer:

(x, y ) → (x - 4, y )

Step-by-step explanation:

A horizontal move of 4 to the left means subtract 4 from the x- coordinate, leaving the y- coordinate unchanged, thus

(x, y ) → (x - 4, y ) ← translation rule

Answer:

(x, y) Right-arrow (x – 4, y)

Step-by-step explanation:

just did it

After a 25% increase this year, the population of Boom Town is now 6,600 people. What WAS the population last year?

Answers

Answer:

4,950

Step-by-step explanation:

Answer:

According to my calculations, my answer is $4,950.

Step-by-step explanation:

Diamonds have a density of 3.5 LaTeX: \frac{g}{cm^3}g c m 3. How big is a diamond that has a mass of 0.10 g?

Answers

For this case we have that by definition, the density is given by:

[tex]d = \frac {M} {V}[/tex]

Where:

M: It is the mass of the diamond

V: It is the volume of the diamond

According to the data of the statement we have:

[tex]d = 3.5 \frac {g} {cm ^ 3}\\M = 0.10 \ g[/tex]

So the volume is:

[tex]V = \frac {M} {d}\\V = \frac {0.10 \ g} {3.5 \frac {g} {cm ^ 3}}\\V = 0.02857\\V = 0.03 \ cm^3[/tex]

Thus, the volume of the diamond is approximately [tex]0.03 \ cm ^ 3[/tex]

Answer:

[tex]0.03 \ cm ^ 3[/tex]

All I need is the answer if your right you will be marked brainzileient

Answers

Answer:

C; E

Step-by-step explanation:

They are the only 2 equivalent expressions

Answer:

C & E is the correct answer.

Lines Line A E and Line G H are parallel in the image below. The image will be used to prove that the sum of the measures of the interior angles of Triangle C G H is 180°. Lines A E and G H are parallel. Angles F and C are congruent. Which statement would be included in a proof of why Measure of angle C + measure of angle G + measure of angle H = 180 degrees.? Angles F and H are congruent. Angles C and E are congruent. Angles A and G are congruent. Angles F and C are congruent.

Answers

Answer:

Angles F and C are congruent

Step-by-step explanation:

In the figure attached, the missing image is shown.

From the figure, it can be seen that Angles F and C are opposite angles. Opposite angles are non-adjacent angles formed by two intersecting lines. Opposite angles are congruent .

Answer:

Step-by-step explanation: f and c should be correct i just took the test

Danny brought $43.00 to the state fair. He bought a burger, a souvenir, and a pass. The burger was 1/4 as much as the souvenir, and the souvenir cost 2/3 the cost of the pass. Danny had $4.50 left over after buying these items. What was the cost of each item?

Answers

The cost of each item that Danny bought in this case are: Pass of the fair was of $21, the cost of souvenir was $14 and the cost of burger was $3.5

How to form mathematical expression from the given description?

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.


Given that:

Total money Danny had in the state fair = $43He bought  a burger, a souvenir, and a passburger was 1/4 as much as the souvenirsouvenir cost 2/3 the cost of the passAmount remaining after buying all these things = $4.5

The cost of burger is expressed in terms of cost of souvenir and of souvenir in terms of the cost for pass.

So, let we take:
Cost of pass = x dollars,

Then, cost of souvenir = 2/3 of x = 2x/3 dollars

And the cost of burger = 1/4 of cost of souvenir = 1/4 (2x/3) = [tex]\dfrac{2x}{12} = \dfrac{x}{6}[/tex] dollars.

Also, we have:

Total initial amount = Amount spent + Amount remaining

or

43 = Cost of all those 3 items + 4.5

[tex]43 = x + \dfrac{2x}{3} + \dfrac{x}{6} + 4.5\\43 = \dfrac{6x}{6} + \dfrac{4x}{6} + \dfrac{x}{6} + 4.5\\\\43 = \dfrac{11x}{6} + 4.5\\\\\text{Subtracting 4.5 from both the sides}\\\\43-4.5 = \dfrac{1x}{6}\\\\\\dfrac{11x}{6} = 38.5\\\\\text{Multiplying 6/11 on both the sides}\\\\x = \dfrac{6 \times 38.5}{11} = 21[/tex]

Thus, the cost of pass was $21

Now, we get:

Cost of souvenir = 2x/3 = [tex]\dfrac{2(21)}{3} = 2\times7 = 14[/tex] dollars,

and cost of burger = [tex]\dfrac{x}{6} = \dfrac{21}{6} = 3.5[/tex] dollars.

Thus, the cost of each item that Danny bought in this case are: Pass of the fair was of $21, the cost of souvenir was $14 and the cost of burger was $3.5

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Find the correct result.
1+4=5
2+5=12
3+6=21
5+8=

Answers

this is easy?!

5+8=13

HELLO? Can anyone answer my question PLS!!! HELP!!!
Write the explicit equation
for the sequence
9, 5, 1, -3, -7…

Answers

Answer:

13-4n

Step-by-step explanation:

The generic formula to calculate this is. a+(n-1) d

“a” is the first term and “d” is the difference in our case “a” is 9 and “d” is -4

9+(n-1)(-4)

9-4n+4

13-4n

Answer:

[tex]a_{n}[/tex] = 13 - 4n

Step-by-step explanation:

Note the common difference d between consecutive terms, that is

d = 5 - 9 = 1 - 5 = - 3 - 1 = - 7 - (- 3) = - 4

This indicates the sequence is arithmetic with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 9 and d = - 4, thus

[tex]a_{n}[/tex] = 9 - 4(n - 1) = 9 - 4n + 4 = 13 - 4n ← explicit equation

Alex has trained his puppy, Popper, to jump through a ring. According to Alex's measurements and calculations, the ring has a diameter of 3.5 feet. What is the ring's circumference (use 3.14 for pi)?

Answers

Answer:

11 ft

Step-by-step explanation:

The ring takes circular shape and for a circle, circumference is given by

[tex]C=\pi d[/tex]

Where C represent circumference and d is the diameter.

Taking use 3.14 for pi as instructed and substituting 3.5 ft for diameter d then

C=3.14*3.5=10.99 ft

Rounding off, this is approximately 11 ft

Answer:

10.99 ft

Step-by-step explanation:

Given: The ring has a diameter of 3.5 feet

To find: The ring's circumference

Formula: [tex]C = 2\pi r[/tex]

Solution: To calculate the circumference of a circle, multiply the diameter of the circle with π (pi). The circumference can also be calculated by multiplying 2 × radius with pi (π = 3.14).

C = pi × 2r

C = pi × diameter (3.5)

C = 3.14 × 3.5 = 10.99

Hence, the ring's circumference is 10.99 ft

Which graph shows the solution set for 2 x + 3 greater-than negative 9?
A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the left of the circle is shaded.
A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the right of the circle is shaded.
A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the left of the circle is shaded.
A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the right of the circle is shaded.

Answers

Correct option is D) A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the right of the circle is shaded.

Step-by-step explanation:

We have following inequality :2 x + 3 greater-than negative 9 or ,

⇒ [tex]2x+3>-9[/tex]

Let's solve this :

⇒ [tex]2x+3>-9[/tex]

⇒ [tex](2x+3)+9>-9+9[/tex]

⇒ [tex]2x+12>0[/tex]

⇒ [tex](2x+12)-12>0-12[/tex]

⇒ [tex]2x>-12[/tex]

⇒ [tex]x>-6[/tex]

So , the value of x is greater then -6 . So , Correct option is D) A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the right of the circle is shaded.

Answer:

The person in the comments said...

The answer is c. When your dividing by a negative number the arrow is turned around.

Step-by-step explanation:

Hi, have a great day/night whichever one, stay safe and always be kind ^w^

p.s. i'm giving all the credit to the person in the comments

The surface area of this square prism is
A) 45 ft2.
B) 69 ft2.
C) 78 ft2.
D) 245 ft2.

Answers

Answer:

C) 78 ft2

step-by-step explanation:

(1) volume: V = a²h(2) surface area: S = 2a(a+2h)

(2) is the one you want to find out.

Volume= 45 ft2

Surface area= 78 ft2

What is the variable equal to?
x 7 = 14

Answers

X=2 because 14 divided by 7 is 2 since 7 is equal the number 7

Answer:

Varible x equals 2

Step-by-step explanation:

7x = 14

Dividing both sides by 7, we will have

x = 14/7

x = 2

Find the volume of the sphere.
Either enter the exact terms of pi or use 22/7 for pi.

The radius is 1/2 !

Answers

Answer: 1/6 pi

Step-by-step explanation:

1. Formula: Volume of a sphere= 4/3pi x 1/2^3

2. Solve: 1/2^3 = 1/8

3. Place 1/8 into problem: 4/3pi x 1/8

4. Solve: 4/3pi x 1/8 = 4/24pi

5. simplify

Answer: 1/6pi

6-2/3 doubled would be?

Answers

Answer:

10.6

Step-by-step explanation:

1. 2(6-2/3)

a. 2(5.33)

b. 10.6

Answer:

32/3, 10 2/3, 10.67

Step-by-step explanation:

First, we can set up the expression.

2(6-2/3)

Use the distributive property.

12-4/3

Get a common denominator.

12*3/3=36/3

36/3-4/3

32/3

or

10 2/3

or

10.66 (repeated)

Round it to 10.67

Pythagorean theorem (picture provided)

Answers

Answer:

12

Step-by-step explanation:

To solve for a side using pythag:

[tex]\sqrt{37^2-35^2}[/tex]

The answer would be 12

An oval track is made by erecting semicircles on each end of a 46 m by 92 m rectangle. Find the length of the track and
the area enclosed by the track.

Answers

Answer:

[tex]Length\,\, of\,\, the\,\, track=420.44\,m\\\\Area\,\,covered \,\,by\,\, the\,\, track=5893.06\,m^2[/tex]

Step-by-step explanation:

Length of the Track:

Perimeter of the rectangle + Circumference of the two semicircle

Perimeter of the rectangle= [tex]2(Length+Width)[/tex]

[tex]Length=92\,m\\Width=46\,m[/tex]

Perimeter of the rectangle:

              [tex]=2(92+46)\\\\=2(138)\\\\=276\,m[/tex]

Circumference of Two Semicircle with same radius:

[tex]r=\dfrac{46}{2} =23\,m[/tex]

[tex]Circumference=2\times \pi \times r\\\\[/tex]

   [tex]=2\times 3.14\times 23\\\\=6.28 \times 23\\\\=144.44\,m[/tex]

Total Length of the track is :

[tex]=276+144.44\\\\=420.44\,m[/tex]

Area Covered by the track is :

Area of the two semicircle + Area of the rectangle

         [tex]=(\pi \times r^2) + (Length\times Width)\\\\=(3.14\times (23\times 23 ))+(92\times 46)\\\\=1661.06 +4232\\\\=5893.06\,m^2[/tex]

Final answer:

The total length of the oval track is 420.51m and the area enclosed by the track is 5893.90m².

Explanation:

The dimensions of the rectangular part of the track are 46m and 92m respectively. Thus, the total distance around the rectangle (perimeter) is 2*(46m + 92m) = 276m. The two semicircles on either end of the rectangle form a complete circle with a diameter of 46m. The circumference of this circle (which equates to the remaining path length of the race track) is given by the formula πd or π*46m ≈ 144.51m. Thus, the total length of the track is 276m + 144.51m = 420.51m.

As for the area enclosed by the track, it consists of two main parts: the area of the rectangle and the area of the circle. The area of the rectangle is given by the formula L*W, or 46m*92m = 4232m². The area of the circle is given by the formula π(r²), where r is the radius of the circle. So, π(23m²) equals approximately 1661.90m². Adding the two results together, the total area enclosed by the track is 4232m² + 1661.90m² = 5893.90m².

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Principal = $800
Interest Rate = 3.5%
Time = 6 months
Find the interest earnedi

Answers

The interest earned is $14.

To find the interest earned, we can use the formula for simple interest:

[tex]\[ \text{Simple Interest} = \frac{P \times R \times T}{100} \][/tex]

Where:

- [tex]\( P \)[/tex]is the principal amount (the initial amount of money) [tex]= $800[/tex]

-[tex]\( R \)[/tex]is the interest rate per period (in decimal form) [tex]= 3.5% = 0.035[/tex]

-[tex]\( T \)[/tex] is the time the money is invested for (in years)[tex]= 6 months = 0.5 years[/tex]

Now, plug in the values:

[tex]\[ \text{Simple Interest} = \frac{800 \times 3.5 \times 0.5}{100} \][/tex]

[tex]\[ \text{Simple Interest} = \frac{800 \times 3.5 \times 0.5}{100} \][/tex]

[tex]\[ \text{Simple Interest} = \frac{800 \times 1.75}{100} \][/tex]

[tex]\[ \text{Simple Interest} = \frac{1400}{100} \][/tex]

[tex]\[ \text{Simple Interest} = \[14 \][/tex]

Complete correct question:

Principal = $800

Interest Rate = 3.5%

Time = 6 months

Find the interest earnedi

Based on the scale drawing, what is the length, in feet, of the actual parking lot? On the drawing they have the width 12.8 cm and the length is 3.2 cm.

Answers

Answer:

The width of 48 feet is represented by 12.8cm; the length represented by 1cm is 48/12.8 = 15/4 = 3.75 feet.

The length on the drawing is 3.2cm, which is exactly 1/4 of the width of 12.8cm; therefore the length of the actual parking lot is 48/4 = 12 feet.

Final answer:

To find the actual length of a parking lot based on a scale drawing, you need the scale, which is often given as a ratio like '1 cm : 10 ft'. You would multiply the length on the drawing by the scale value to get the actual length. However, without the scale, a definitive answer cannot be provided.

Explanation:

To find the actual length of the parking lot, you need to know the scale of the drawing, which is not provided in the current question. The scale is usually expressed as a ratio, essentially representing a conversion factor. An example could be '1 cm : 10 ft', meaning every one centimeter on the drawing represents ten feet in real life.

Let's say the scale is '1 cm : 10 ft' as an example. You would then multiply the scale value (10 ft) by the length of the parking lot on the drawing (3.2 cm). So: 3.2 cm * 10 ft/cm = 32 ft. Hence, in this example, the actual length of the parking lot would be 32 feet. However, without the scale, we cannot provide a definitive answer.

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Which describes a uniform probability model?
A) drawing a red or black card from a deck of cards
B) selecting a ball from 2 red balls and 3 yellow balls
C) selecting a sock from 5 black socks and 10 white socks
D) equally divided five section spinner with three colors

Answers

Answer:a

Step-by-step explanation:

Right Triangle Trig.

Answers

The values are vx = [tex]\frac{14\sqrt{3} }{\sqrt{2} }[/tex], vw = [tex]\frac{14\sqrt{3} }{\sqrt{2} }[/tex] and m∠x = 45°, for the given right angle diagram.

Step-by-step explanation:

The given is,

                Right angled triangle XVW,

                                     XW = 14[tex]\sqrt{3}[/tex]

                                   m∠V = 90°

                                  m∠W = 45°

Step:1

              Given diagram is right angle triangle,

              Trigonometric ratios for right angle is,

                                 [tex]sin[/tex] ∅ [tex]=\frac{Opp}{Hyp}[/tex]............................(1)

                                  [tex]cos[/tex] ∅ [tex]= \frac{Adj}{Hyp}[/tex] .........................(2)

                                  [tex]tan[/tex] ∅ [tex]= \frac{Opp}{Hyp}[/tex]..........................(3)

Step:2

             For the value of VX,

                                   [tex]sin[/tex] ∅ [tex]=\frac{VX}{XW}[/tex]

            From given,

                               ∅ = 45°

                           XW = 14[tex]\sqrt{3}[/tex]

           Above equation becomes,

                                     [tex]sin[/tex] 45 [tex]=\frac{VX}{14\sqrt{3} }[/tex]

            Where, Sin 45 = [tex]\frac{1}{\sqrt{2} }[/tex],

                                            [tex]\frac{1}{\sqrt{2} } = \frac{VX}{14\sqrt{3} }[/tex]

                                           [tex]VX = \frac{14\sqrt{3} }{\sqrt{2} }[/tex]

Step:3

              For the value of VW,

                                   [tex]cos[/tex] ∅ [tex]=\frac{VW}{XW}[/tex]

            From given,

                               ∅ = 45°

                           XW = 14[tex]\sqrt{3}[/tex]

           Above equation becomes,

                                     [tex]cos[/tex] 45 [tex]=\frac{VW}{14\sqrt{3} }[/tex]

            Where, cos 45 = [tex]\frac{1}{\sqrt{2} }[/tex],

                                            [tex]\frac{1}{\sqrt{2} } = \frac{VW}{14\sqrt{3} }[/tex]

                                           [tex]VW = \frac{14\sqrt{3} }{\sqrt{2} }[/tex]

Step:4

             For the value m∠x = a,

                                      [tex]tan[/tex] a [tex]=\frac{VX}{VW}[/tex]

            From given,

                            VX = [tex]\frac{14\sqrt{3} }{\sqrt{2} }[/tex]

                           VW = [tex]\frac{14\sqrt{3} }{\sqrt{2} }[/tex]

           Above equation becomes,

                                     [tex]tan[/tex] a [tex]=\frac{\frac{14\sqrt{3} }{\sqrt{2} } } {\frac{14\sqrt{3} }{\sqrt{2} } }[/tex]

                                      [tex]tan[/tex] a = 1

                                             a = [tex]tan^{-1}[/tex] (1)

                                             a = 45°

                                 m∠x = a = 45°

Step:5

            Check for solution,

                         m∠v  = m∠w + m∠x

                                   = 45° + 45°

                            90° =   90°

Result:

            The values are vx = [tex]\frac{14\sqrt{3} }{\sqrt{2} }[/tex], vw = [tex]\frac{14\sqrt{3} }{\sqrt{2} }[/tex] and m∠x = 45°, for the given right angle diagram.

           

The volume of the prism is 90 cubic meters. Find the value of x
.

Answers

The answer is 30 meters




The value of [tex]\( x \)[/tex] in a prism with volume [tex]\( 90 \)[/tex] cubic meters is approximately [tex]\( 2.466 \)[/tex] meters.

To find the value of [tex]\( x \)[/tex], knowing the volume [tex]\( V \)[/tex] of the prism, use the formula:

[tex]\[ V = l \times w \times h \][/tex]

Given [tex]\( V = 90 \)[/tex] cubic meters, if we assume the length [tex]\( l = 3x \)[/tex], width [tex]\( w = 2x \)[/tex], and height [tex]\( h = x \)[/tex], then:

[tex]\[ 90 = (3x) \times (2x) \times (x) \][/tex]

[tex]\[ 90 = 6x^3 \][/tex]

[tex]\[ x^3 = \frac{90}{6} \][/tex]

[tex]\[ x^3 = 15 \][/tex]

[tex]\[ x = \sqrt[3]{15} \][/tex]

[tex]\[ x \approx 2.466 \] meters.[/tex]

Solve each equation. Check your solution. 4x - 8= 5x

Answers

Answer:

x= -8

Step-by-step explanation:

Answer:

x= -8

Step-by-step explanation:

Which equation can be used to find the surface area of the cylinder? ​

Answers

Answer:

the first option

Step-by-step explanation:

the formula to find the surface area of a cylinder is

2πrh+2πr²

Answer:

A=2πrh+2πr2=2·π·4·16+2·π·42≈502.65482

Step-by-step explanation:

up there

Find the area of the figure to the nearest tenth.​

Answers

U have to multiply 6x6=36 and 36 to the nearest tenth is 36.0

David has 56 baseball card I wish he sells three cars per week write an equation representing the number of cards n he has left at the end of any given week W

Answers

Answer:

56-3=N

Step-by-step explanation:

David starts with 56 baseball cards and sells 3 per week, so the equation representing the cards remaining after W weeks is n = 56 - 3W.

The equation that represents the number of baseball cards David has left at the end of any given week W is n = 56 - 3W. Here, 'n' stands for the number of cards he has left, '56' is the initial number of cards, '3' is the number of cards he sells each week, and 'W' is the number of weeks that have passed.

For example, at the end of week 1 (when W = 1), David will have:
n = 56 - 3(1) = 56 - 3 = 53 cards left.

At the end of week 2 (when W = 2), it would be:
n = 56 - 3(2) = 56 - 6 = 50 cards remaining.
This pattern continues as more weeks pass.

A region with a 15 mile diameter has a population density of about 5000 people per square mile. Find the number of people who live in the region.

Answers

Answer:

55 of people

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