the height of the rectangular box is 4 times its width, and its length is 2 in more than its width. the volume of the box is 60in^3

Answers

Answer 1

Step-by-step explanation:

height= 4b

length = 2 + b

volume = 60in³

or, l ×b × h = 60in³

or, (2+b) × b × 4b = 60in³

or, 4b²(2+b) = 60in³

or, 8b² + 4b³ = 60

or, 2b² + b³ = 15

or, b³ + 2b² -15= 0

b= 1.95

l= 2+1.95=3.95

h= 4×1.95 = 7.8


Related Questions

Could someone help me out with this

Answers

Hey! It's me again! You told me to answer this, so I will deliver ☺

Answer:

15/21

Step-by-step Explanation:

Because 1/3 and 2/7 do not have the same denominator, we will have to multiply them to get one that they'll both share.

In this case, you multiply both denominators, 3 and 7, to get 21.

We do the same with the numerators, but in a different way.

We're gonna multiply the numerators by the OTHER fractions' denominators this time. So, we do this:

1 x 7 = 7

2 x 3 = 6

We end up getting these fractions:

7/21

6/21

And now, we just subtract 6 from 21, to get 15.

And you get 15/21.

I hope I helped you, and a "Brainliest" is always appreciated! ☺

6th grade math help me pleaseee

Answers

Answer:

a or theiraanatheira or theirthey'rethere

Answer:

1 A 2 A 3 an 4 A 5 Their 6 a, Their 7 they'er 8 there

Step-by-step explanation:

Question 7: The ratio of M's to A's cat is 5:7. Meg's cat weighs 20 kg. How
much more does Anne's cat weigh?
A) 28 kg
B) 2 kg
C) 8 kg
D) 9.3 kg

Answers

Answer: C

Step-by-step explanation: The ratio shows that Anne's cat is 2kg heavier, but Meg's cat weighs 20kg which is 4 times what the ratio shows the weight is, so the difference of the weight is also 4 times greater, which is 8kg!

The value of weight of Anne's cat will be 28 kg. Then the correct option is A.

What is the ratio?

The utilization of two or more additional numbers that compares is known as the ratio.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The ratio of M's to A's cat is 5:7. Meg's cat weighs 20 kg.

Let 'x' be the weight of Anne's cat. Then the equation is given as,

5 / 7 = 20 / x

Simplify the equation, then we have

5 / 7 = 20 / x

1 / 7 = 4 / x

x = 28 kg

The value of weight of Anne's cat will be 28 kg. Then the correct option is A.

More about the ratio link is given below.

https://brainly.com/question/13419413

#SPJ2

The dot plot represents the frequency for the average miles per gallon expected for each car at a dealership. Which statement is TRUE? A) 20 is an outlier. B) The number of miles per gallon peaks at 24. C) 4 cars average less than 20 miles per gallon. Eliminate D) No car is expected to average between 33-37 miles per gallon.

Answers

Answer: the answer is d

Step-by-step explanation: I did the USA test prep

Answer:

D) No car is expected to average between 33-37 miles per gallon.

Step-by-step explanation: USATESTPREP

Solve the equation. u+3=7

Answers

Answer: 4

Step-by-step explanation:

u+3=7

u=7-3

u=4

Plzzzzzzzzzzzzzzz help

Answers

Answer:

(5,4)

Step-by-step explanation:

....................

Heya!
[tex] \underline{ \underline{ \text{Question}}} : [/tex] In the given [tex] \triangle[/tex] ABC , AE is the bisector of [tex] \angle[/tex] BAC. If BO [tex] \perp[/tex] AE and BM = MC , prove that OM [tex] \parallel[/tex] AC.

Answers

Answer:

this is your answer look it once.

Answer:

this is your answer look it once:

I need help with please

Answers

Step-by-step explanation:

1. Formula for simple interest,

[tex]a = p(1 + rt)[/tex]

where

a = Final amount

p = Principal amount

r = annual interest rate

t = time in years

given p = 1250

r = 4.25/100 (r is a raw number, not percentage, so we need to divide 100 here to get the raw number)

t=4

Substitute values into formula to get a.

[tex]a = 1250(1 + (\frac{4.25}{100})(4)) \\ = 1250(1 + 0.17) \\ = 1250(1.17) \\ = 1462.50dollars[/tex]

Let's use the simple interest to calculate Henry's final amount first.

p = 5000

r = 4.2/100

t = 4

[tex]a = 5000(1 + ( \frac{4.2}{100} )(4)) \\ = 5000(1 + 0.168) \\ = 5000(1 .168) \\ = 5840 \: dollars[/tex]

To calculate the interest paid, just use the final amount minus the principal amount

[tex]a - p = 5840 - 5000 \\ = 840dollars[/tex]

Now we will do the exact same method for Ingrid.

p = 5,000

r = 3.9/100

t = 6

[tex]a = 5000(1 + ( \frac{3.9}{100} )(6)) \\ = 5000(1 + 0.234) \\ = 5000(1.234) \\ = 6170 \: dollars[/tex]

[tex]a - p = 6170 - 5000 \\ = 1170dollars[/tex]

Difference in interest between 2 of them =

Interest of Ingrid Loan - Interest of Henry Loan

= 1170 - 840

= $330

The cost of a pair of shoes fell from $66 to $54.
What was the percentage change?

Answers

Answer:

18.18%

Step-by-step explanation:

66 - 54 = $12

% change - 12/66 * 100

simplify - 12/66 --> 2/11

2/11 * 100

200/11

18.18%

find the eaxct value of b.

Answers

Answer:

b = 19

Step-by-step explanation:

To make it short and sweet, since one angle is 45 degrees and one angle is 90 degrees, the unknown angle is 45 degrees also. That makes it an isosceles triangle with both legs equal.

b = 19

One of the great mysteries of the world is why hotdogs and hotdog buns come in packages of different sizes. Hotdogs come in packs of 8 and buns come in packs of 12 at your local store. What is the least number of each you can buy in order to have an equal number of hotdogs and buns

Answers

Answer:

Two packs of buns and three hotdog packages

Step-by-step explanation:

b. Canada had about
as many total medals as Australia

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: The united states has the most metals out of all of the countries.

Explanation:

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Gary can raise his credit score by ________.
A
never borrowing money

B
keeping his debt above 30% of his credit card limit

C
cutting up his credit card

D
paying his bills on time

Answers

Answer:

B keeping his debt above 30% of his credit card limit.

This scatter plot show the relationship between the temperature and amount of sales at a store. The line of best fit is shown on the graph.

a. The y-intercept of the estimated line of best fit is at (0,b). Enter the approximate value of b. Round your estimate to the nearest whole number.

b. Enter the approximate slope of the estimated line of best fit in the second box.

Answers

Answer:

a) b ≈ 100

b) m ≈ 30

Step-by-step explanation:

identify all the numbered angles that are congruent to the given angle.​

Answers

Answer:

1, 4, and 7

Step-by-step explanation:

1, 7, 4

Opposite angles are congruent

Find the circumference of the circle.
A circle has diameter 9 centimeters.
9

Answers

Answer:

2.86478897565  or   3 (if rounded to the nearest whole number)

Step-by-step explanation:

How we find circumference by using diameter is divide the diameter by pi

SO 9 divide by pi equals 2.86478897565 or 3 (if rounded to the nearest whole number)

Can u mark me as brainlist? :)

HAVE A GREAT DAY!

Can someone help ASAP ill give you good rating

Answers

Answer: radius is is 12.

Step-by-step explanation:

Explanation: A circle with equation of the form x2+y2=r2 will have radius r=√144=12 .

Sorry, I'm not sure on the bottom part

Solution:-

We know,

The general equation for circle is –

[tex] { \boxed{\bf{\rm \red {(x \: - \: a)² \: + \: (y \: - \: b)² \: = \: r²}}}} [/tex]

[tex] \bf (a, \: b) \: = \: center \: coordinates [/tex]

[tex] \bf r \: = \: radius [/tex]

[tex] \bf a \: = \: 0 \: , \: b \: = \: 0 \: , \: r \: = \sqrt{144} \: = \: 12 [/tex]

[tex] \bf Center \: coordinates \: = \: (0, \: 0) [/tex] [Answer]

[tex] \bf Radius \: = \: 12 [/tex] [Answer]

__________________________________________________

NOTE Refer the above attachment.

__________________________________________________

The discriminant if a quadratic equation is negative. One solution is 4 + 7i. What is the other solution? *
7 - 4i
4 - 7i
- 4 + 7i
7 + 4i

Answers

Answer:  B) 4 - 7i

==========================================================

Explanation:

When you have a quadratic in the form ax^2 + bx + c = 0, where a,b,c are real numbers, then a negative discriminant leads to having a pair of complex roots. The roots come in conjugate pairs meaning that p+qi is one root while p-qi is the other root. The p,q are real numbers.

In the case of 4+7i being one root, we have p = 4 and q = 7, since it matches with p+qi. The other root must be 4-7i since it matches with p-qi.

In short, we flip the plus to a minus when going from 4+7i to 4-7i. All of this applies when we have a,b,c as real numbers.

If we allowed a,b,c to be complex numbers, then the roots may not necessarily come in conjugate pairs.

Please only answer if you can help!! Please look at the picture below

Answers

Answer:

3

Step-by-step explanation:

The graph doesn’t go left to x = 3, so the answer is 3

Match each correlation coefficient to the appropriate scatter plot. The line in each scatter plot is the least squares regression line. fo1 80- 52 504 40 3 30 24 19 18- 12 12 22 300 316 19 54 18 5 18 UN 30 18 54 60​

Answers

504 is the answer my guy

Write the number below as a fraction in its simplest form 0.˙49˙9 (more clearer picture is attached here)

Answers

Answer:

499/999

Step-by-step explanation:

The decimal number written is:

0.499...

Such that these 3 decimals are repeated as:

0.499499499...

Let's define this number as k

k = 0.499...

Let's multiply this number by 1000 (the same number of zeros as important decimals after the decimal point)

we get:

1000*k = (1000)*(0.499...) = 499.499...

Now we can subtract the original number k, so we get:

1000*k - k = 499.499... - 0.499...

In this way, we remove the part after the decimal point:

1000*k - k = 499.499... - 0.499...

(1000 - 1)*k = 499

999*k = 499

Now we can divide both sides by 999

(999*k)/999 = 499/999

k = 499/999

The fraction notation of our number is 499/999 (and this is the simplest form)

What is the slop and the y-intercept on the graph?

Answers

Answer:

Slope= 2 ; y intercept= 4

Step-by-step explanation:

Slope: (y2 - y1)/(x2-x1) where x and y indicate the coordinates of two points

Slope = (4-0)/(0-(-2) = 4/2 = 2

y intercept is where the line intercepts the y axis: it happens in (0;4)

Answer:

y intercept is 4 and slope is 2

Step-by-step explanation:

1. If AD = 25, then BC =
2. If AB = 30, then DC =

Answers

Answer:

1. BC=25

2. DC=30

Step-by-step explanation:

In a parallelogram, pairs of opposite sides are always equal. The side opposite of AD is BC, so if AD=25, BC=25. Likewise, if side AB=30, side DC=30. Of course, this is assuming the shape is a parallelogram. If it is not, there is no way of determining the side lengths.

lmk if im wrong, hope this helps :)

Write the number two and a half million in figures?

Answers

Answer:

2,500,000

Step-by-step explanation:

here's the answer

have a great day or night

2,500,000 is two and a half million

In circle P with MLNRQ =60, find the mLNPQ

Answers

Answer is 120
AngNPQ=2*angNRQ=120

Question in the picture (disregard the choice)

Answers

Answer:

D

Step-by-step explanation:

Answer:

A is the right answer of your question but....

I m little bit doubtful about that

Can someone answer quick I really need help.

Answers

i think it’s (6,4) because it’s the highest point of the graph.

HELP PLEASE 15 POINTS

Answers

Angle C, it sounds obvious but they correspond to the angle in the same order as them, as both E and C are in the middle it has to be C.

Answer:

C

Step-by-step explanation:

ΔDEF ≅ ΔBCA

It's asking which one is similar to ∠E

∠E ≅ ∠C

A little help thank u have a nice day :)

Answers

Center:
(−4,0)

Radius: 5

A restaurant has many vistors over the weekend.4/9 of the visitors are adults. If there were 380 adults, how many visitors were children? Answer

Answers

Answer:

475 children

Step-by-step explanation:

A restaurant has many vistors over the weekend.4/9 of the visitors are adults. If there were 380 adults, how many visitors were children? Answer

Step 1

We find the total number of visitors the restaurant had over the weekend. This is calculated as:

Let the total number of visitors = x

4/9 × Total number of visitors = 380 Adults

4/9 × x = 380

4x/9 = 380

Cross Multiply

4x = 9 × 380

x = 9 × 380/4

x = 855 visitors.

Step 2

The number of visitors that were children is calculated as:

Total number of visitors - Number of Adults

= 855 visitors - 380 Adults

= 475 children

Other Questions
PLEASE HELP !! ILL GIVE BRAINLIEST !! pls help 15 points Read the passage below from The Unseen Values.Mark Twain once listened to the complaints of an old riverboat pilot who was having trouble making the switch from sail to steam. The old pilot wanted no part of the newfangled steam contraptions. "Maybe so," replied Twain, "but when it's steamboat time, you steam.How does the authors reference to Mark Twain shift the tone of the last section?The author refers to a complaining captain to indicate an angry tone.The author includes facts to indicate a knowledgeable tone.The author uses a shared experience to create a sentimental tone.The author mentions something old to signify a wise tone. Who is Muhamed Avdol? A light bulb has a resistance of 96.8 . What current flows through the bulb when it is connected to a 120 V source of electrical energy? 2. Determine whether segment AB is tangent to the given circle12 pol2. AB12B13YesNo Choose the correct form of the verb "venir" to complete the sentence:.ustedes a la fiesta?VienenVienesVengoVenimos a hot air balloon travels 18 miles in 3 hours. At this rate how many miles will the hot air balloon travel in 3/4 hour (1 point)15. Which design style is defined as including order, symmetry, geometric patterns, borders, andmuted colors?Arts and Craftsart decoBauhausVictorian 10 POINTS AND BRAINLIEST TO FIRST CORRECT ANSWERPLZ PLZ HELPIn what ways have members of the gray whale species been affected by efforts to protect biodiversity? Check all that apply.They are currently endangered and almost extinct.Their numbers have increased because of the Endangered Species Act.Their numbers have increased mostly due to captive breeding.They are still being hunted, and their numbers are declining.They are an example of protecting biodiversity through the passage of laws. (01.06 LC) Which statement is true about the substances present in a mixture? They always consist of the same element. They are always in the same state of matter. They can be separated by physical methods. They can only be separated by chemical methods. please help, this is very urgent!!! no links please, and also if ur answer is correct I'll give brainliest!!!! During the 2 9-weeks reporting, a student's grade increased from 80 to 96. By what percentage did the grade increase?32%20%16%12% What is the factored form of the polynomial 3x-3y Refer to the diagram below. What is the scale factor used to create the new shape. I will give brainliest if ur correct. if eleanor starts with 25.00 ml of a weak acid (the concentration is 0.1084 m), then how many ml of 0.1817 m naoh has to be added to reach the equivalence point After the U.S. film Django Unchained was recut and released in China, it performed poorly, partly because Chinese filmgoers had already seen the unedited film on DVD. What disadvantage of competing globally does this situation reflect? Combine the like terms to create an equivalent expression.2q+2+9 The first term of a geometric sequence is 4, and the common ratio is 5. What is the 5th term of the sequence?a.2,500b.12,500c.1,024d.500 I am located south of Asia.| extend southward to Australia.I am directly east of Africa.What am I?