The recommended density of a rectangular aquarium is 7 fish per cubic foot of water. If the owner of the aquarium follows the recommended density guidlines and has 42 fish, what is the height of the aquaruim with a length of 3 feet and a width of 1 foot?

Answer:

55% of the people surveyed were satisfied with the​ car

Step-by-step explanation:

The proportion of people surveyed who were satisfied with the car is the number of people who said they would buy that type of car again divided by the total number of people survied.

The percentage is the proportion multiplied by 100.

We have that:

2,300 people surveyed

1,265 said they would buy that type of car again.

1265/2300 = 0.55

0.55*100 = 55%

55% of the people surveyed were satisfied with the​ car

Answer:

1

Step-by-step explanation:

Answer:

[tex]\angle ABC=(46)^{\circ}[/tex]

Step-by-step explanation:

Given: BD bisects [tex]\angle ABC[/tex]

[tex]\angle ABD=(4x-5)^{\circ}\\\angle DBC=(3x+2)^{\circ}[/tex]

To find: [tex]\angle ABC[/tex]

Solution:

A bisector of an angle divides it into angles of equal measures.

As BD bisects [tex]\angle ABC[/tex], [tex]\angle ABD=\angle DBC[/tex]

Put [tex]\angle ABD=(4x-5)^{\circ}\,,\,\angle DBC=(3x+2)^{\circ}[/tex]

[tex]\angle ABD=\angle DBC\\(4x-5)^{\circ}=(3x+2)^{\circ}\\4x-3x=2+5\\x=7^{\circ}[/tex]

So,

[tex]\angle ABD=(4x-5)^{\circ}=(4(7)-5)^{\circ}=(28-5)^{\circ}=(23)^{\circ}\\\angle DBC=(3x+2)^{\circ}=(3(7)+2)^{\circ}=(21+2)^{\circ}=(23)^{\circ}[/tex]

[tex]\angle ABC=\angle ABD+\angle DBC\\=(23)^{\circ}+(23)^{\circ}\\=(46)^{\circ}[/tex]

A bisector divides lines, angles and shapes into equal segments

The measure of angle ABC is 46 degrees

The given parameters are:

Given that line BD is the bisector of angle ABC, it means that:

[tex]\angle ABD = \angle DBC[/tex]

and

[tex]\angle ABC = 2\times \angle ABD[/tex]

So, we have:

[tex]4x - 5 = 3x +2[/tex]

Collect like terms

[tex]4x - 3x = 5 +2[/tex]

Evaluate like terms

[tex]x = 7[/tex]

Recall that

[tex]\angle ABC = 2\times \angle ABD[/tex]

So, we have:

[tex]\angle ABC = 2 \times (4x - 5)[/tex]

Substitute 7 for x

[tex]\angle ABC = 2 \times (4\times 7 - 5)[/tex]

[tex]\angle ABC = 2 \times (28 - 5)[/tex]

[tex]\angle ABC = 2 \times 23[/tex]

[tex]\angle ABC = 46[/tex]

Hence, the measure of angle ABC is 46 degrees

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Explanation:

Focus on the slanted side of the parallelogram, which is 26 units long. The opposite side to this is also 26 units long since opposite sides of any parallelogram are always congruent.

Now turn your attention to the triangle formed by that dashed line. Specifically this is a right triangle. It has a legs of x and 10, where x is the unknown height (also the height of the parallelogram). The hypotenuse of this right triangle is 26 units as mentioned in the previous paragraph.

Use the pythagorean theorem to find x

a^2+b^2 = c^2

10^2+x^2 = 26^2

100+x^2 = 676

x^2 = 676-100

x^2 = 576

x = sqrt(576)

x = 24

This is a 10,24,26 right triangle, which is based on the 5,12,13 right triangle (divide every part by 2)

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

Now that we know the height of the parallelogram, the area is simply base times height

area of parallelogram = base*height = 32*24 = 768

Then we subtract off the area of the shaded gray rectangle, so we subtract off 7*16 = 112 to get 768 - 112 = 656 and this is the area of the unshaded region inside the parallelogram.

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

Side note: The hypotenuse of 10*sqrt(2) you wrote down would only be correct if that dashed height line was 10 units.

Answer:

y= x^2/24 + 11x/24 +121/4

Step-by-step explanation:

The standard form of the equation for the circle that passes through the points will be D. (x + 7)2 + (y + 10)2 = 25; center (7, 10), r = 5

It should be noted that s standard form simply means a form or writing a a mathematical concept in a form that follows certain rules.

In this case, the standard form of the equation for the circle that passes through the points will be x + 7)2 + (y + 10)2 = 25; center (7, 10), r = 5

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Answer:

1/20

Step-by-step explanation:

25 prizes out of 500=25/500=1/20

Answer:

10 months

Step-by-step explanation:

So you should pick equation B, since it fits all the criteria.

Solve it:

25m + 33950 = 35700 - 150m

175m = 1750

m = 10

Answer:

6,431

Step-by-step explanation:

Answer:

3.  AC

4. DC

Step-by-step explanation:

3. The largest interior angle and side are opposite each other.

The largest angle is angle B so AC is the longest side

4. The smallest interior angle and side are opposite each other.

The smallest angle is A so DC is the shortest side

Answer:

dc is the correct answer

Step-by-step explanation:

Answer:

[tex]c=\dfrac{27}{40}\\[/tex]

Step-by-step explanation:

We are required to solve for c in the equation: [tex]\dfrac{1}{8}+c= \dfrac{4}{5}[/tex]

Step 1: Collect like terms

[tex]\dfrac{1}{8}+c= \dfrac{4}{5}\\c= \dfrac{4}{5}-\dfrac{1}{8}[/tex]

Step 2: Find the Lowest Common Multiple of the denominators

LCM of 8 and 5 is 40

Step 3: Multiply all through by 40

[tex]40c= \dfrac{4}{5}*40-\dfrac{1}{8}*40[/tex]

Step 4: Simplify

40c=32-5

40c=27

Step 5: Divide both sides by 40 and simplify if possible.

[tex]c=\dfrac{27}{40}\\[/tex]

Answer:

27/40

Step-by-step explanation:

Answer:

[tex]3x^{2} -3x-6[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

m + 62 = 45

m = -17

x + 25 = 8

x = -17

Answer:

5 is the answer I hope it helps

Answer:

the answer might be 'scariest zoo animal'

Step-by-step explanation:

hope this helps

Answer:

i think the answer is "favorite zoo animal"

Step-by-step explanation:

because one thing that can't be an answer is "scariest zoo animal" because otter has the most vote and a lion or bear is scarier than a otter, so it can't be "scariest class pet* cause of the same reason. it can either be *favorite class pet" or "favorite zoo animal". if you see, in that on if we see the chart lion has the second highest votes and lion can't be a class pet, so it is "favorite zoo animal"

Answer:

t = 4

Step-by-step explanation:

Substitute the variables with the information provided.

205 = 100 + 12(6) + 5(t) + 7(4) + 5(5) - 8(5)

Simplify

205 = 100 + 72 + 5t + 28 + 25 - 40

20 = 5t

t = 4

Answer:

5

Step-by-step explanation:

Answer:

Joel took 70 total shots on goal on Wednesday.

Step-by-step explanation:

Of Joel's total shots on goal, 20 percent were with his left foot. He took 141414 shots with his left foot. 14 is 20, percent of what number?

See the attached picture.

The answer is c. 17,050 batteries

The number of expected batteries to last between 3 years and one month and 3 years and seven months is 17,050 batteries.

Option C is the correct answer.

A z-score also called a standard score is a measure of how many standard deviations a data point is away from the given mean of a distribution.

It measures the unusual or extreme a particular data point is compared to the rest of the distribution

We have,

First, we need to standardize the range of shelf life between three years and one month (3.08 years) and three years and seven months (3.58 years) using the formula:

z = (x - μ) / σ

where x is the shelf life in years, μ is the mean shelf life in years, and σ is the standard deviation in years.

Now,

For the lower bound:

z = (3.08 - 3.33) / 0.25

z = -1.00

For the upper bound:

z = (3.58 - 3.33) / 0.25

z = 1.00

Now,

We use a standard normal distribution table or calculator to find the area under the curve between z = -1.00 and z = 1.00, which represents the proportion of batteries that can be expected to last between three years and one month and three years and seven months.

This area is approximately 0.6826.

Finally,
We multiply this proportion by the total number of batteries in the production run to find the expected number of batteries that meet the criteria.

expected number = proportion x total number

expected number = 0.6826 * 25,000

expected number ≈ 17,065

Therefore,

The number of expected batteries is 17,050 batteries.

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Given our current rail fare of £16.25, we are looking for the price of the rail fare after a 5% increase.

To find the value of a 5% increase, we can multiply the rail fare by 1.05 since it is 5% added to the total value.

Or, we can multiply the rail fare by 5 and then divide by 100 to get how much will be added onto it.

Let's do both of them:

Increase: 5%

Equation: 1.05 x 16.25

1.05 x 16.25 = 17.06 rounded to the nearest cent

Rail Fare after 5% increase:  £17.06

Increase: 5%

Equation: (5 x 16.25)/100

81.25/100 = .81 rounded to nearest cent

Then, we add them together.

16.25 + 81 = 17.06

Rail Fare after 5% increase:  £17.06

Answer:

3/10 of the total distance to her grandmother's house was traveled on Sunday

Step-by-step explanation:

Carly's family traveled distance of Saturday = [tex]\frac{3}{10}[/tex]

Remaining distance =[tex]1-\frac{3}{10}=\frac{7}{10}[/tex]

They traveled 3/7 of the remaining distance on Sunday.

So, Distance traveled on Sunday =[tex]\frac{3}{7}(\frac{7}{10})[/tex]

Distance traveled on Sunday =[tex]\frac{3}{10}[/tex]

Fraction of the total distance to her grandmother's house was traveled on Sunday =[tex]\frac{3}{10}[/tex]

Hence 3/10 of the total distance to her grandmother's house was traveled on Sunday

Answer:

t = 14

Step-by-step explanation:

log (7t + 2) = 2

Raise each side to the power of 10

10 ^log (7t + 2) =10^ 2

7t+2 = 100

Subtract 2 from each side

7t+2-2 = 100-2

7t = 98

Divide each side by 7

7t/7 = 98/7

t = 14

Answer:

[tex]t=14[/tex]

Step-by-step explanation:

We begin with the equation: [tex]log(7t+2)=2[/tex]

The first thing we must do is remove the log. In this case, the base of this log is 10, which means that we must have each side of this equation have a base of 10.

This gives us

[tex]10^{log(7t+2)} =10^2[/tex]

The base 10 and the log will cancel out to give us

[tex]7t+2=100[/tex]

Then we can solve for t

[tex]7t+2=100\\\\7t=98\\\\t=\frac{98}{7} \\\\t=14[/tex]

Answer:

B = 80

Step-by-step explanation:

y = 4x

y = 1/2x + 280

Substitute one equation into another.

4x = 1/2x + 280

Combine like terms

3.5x = 280

x = 80

The number of posters that Jason needs to sell so that the cost and revenue are equal will be 80. Option B is correct.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The amount of revenue in dollars, y, that Jason receives from selling x posters is given by the equation y = 4x. The cost of producing x posters is given by the equation y = (1/2)x + 280.

Then the number of posters that Jason needs to sell so that the cost and revenue are equal will be given as,

4x = (1/2)x + 280

4x - (1/2)x = 280

(7/2)x = 280

7x = 560

x = 80

The number of posters that Jason needs to sell so that the cost and revenue are equal will be 80.

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Answer:

[tex]\frac{224}{10}=22.4\\ \frac{5315}{10}=531.5\\\frac{3783}{100}=37.83\\ \frac{34502}{1000}=34.502[/tex]

Step-by-step explanation:

To solve the problem, we need to write each fraction in decimal form.

Notice that each denominator is 10 based, which means we only have to move the decimal point according to the total number of zeros have the denominators. If the denominator is 10, we move the decimal point one spot to the left, if the denominator is 1000, we move the decimal point three spots to the left, and so on.

[tex]\frac{224}{10}=22.4\\ \frac{5315}{10}=531.5\\\frac{3783}{100}=37.83\\ \frac{34502}{1000}=34.502[/tex]

Answer:

182,427.03

Step-by-step explanation:

total cost =    r*p*n

                   ---------------

                     1- (1+r) ^-n

Where r is the loan rate, p is the principal, n is the number of payments

rate = 4.04% / 12 months

total cost = (.0404/12)* 125000* 240

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

                     1- (1+.0404/12)^-240

101000

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

1-.44635

101000

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

.55364

182,427.03

Using Payments are 730 *240 months

730*240 =175200

Bar chart associated with the question is attached below

Answer:

Range of digital is 800

CDs have a higher mean than digital

Digital's mean is around 467.

Both have the same interquartile range

Step-by-step explanation:

CDs have a mean higher than digital

Range of digital is 800 (900 - 100 = 800)

Both have the same interquartile range

(Q3 - Q1)

DIGITAL :

(900+700+500+300+300+100)

700 - 300= 400

CDs:

(1000+800+800+600+400+200)

800 - 400= 400

Digital mean :

(900+700+500+300+300+100) / 6

2800/6 = 466.67 = 467

CD mean :

(1000+800+800+600+400+200) /6

=633.333

Median of CD:

1000+800+800+600+400+200

(800+600)/ 2 = 700

Median of Digital :

(500+300)/2 = 400

Answer:

A: CDs have a higher mean than digital.

B: The range of digital is 800.

D: Both have the same interquartile range.

F: Digital’s mean is around 467.

Step-by-step explanation:

edg2020

Answer:

7.5 ?

Step-by-step explanation:

Answer:

7.5

Step-by-step explanation:

We are given information that the two triangles are similar and we want to work out the length of "t" . Since these 2 triangles are similar, it means that a scale factor is used to enlarge the sides, we can work out the scale by dividing QP by LJ and RP by KJ so,

QP ÷ JK = 25 ÷ 5 = 5

RP ÷ JL = 22.5 ÷ 4.5 = 5

So we can see the scale factor is 5, now all we need to do is multiply the scale factor by 1.5 to find the value of t

1.5 × 5 = 7.5

The value of t is 7.5

Answer:

Minh's grade has less boys than Ella's

Answer:72 minutes

Step-by-step explanation:

30/25=  1.2 * 60= 72

Answer:

V = 602.88 cm cubed