The ratio of boys to girls at the beach cleanup was 7:8. If there are 42 boys, how many girls are there?

Answers

Answer 1

that ratio means for every 7 boys there are 8 girls

so 42 boys / 7 = 6

now 6*8 = 48

there are 48 girls

Related Questions

Which statements are true regarding quadrilateral ABCD? Check all that apply.
ABCD has congruent diagonals.
ABCD is a rhombus.
ABCD is not a rectangle.
ABCD is not a parallelogram.
ABCD has four congruent angles.

Answers

The statements that are true regarding quadrilateral ABCD include:

ABCD has congruent diagonals.ABCD is a rhombus.ABCD has four congruent angles

Based on the information given, ABCD has congruent diagonals and can be treated as a rhombus. This is because it's a regular quadrilateral.

It should be noted that ABCD can be treated as a rectangle and a parallelogram as well.

In conclusion, the correct options are 1, 2, and 5.

Read related link on:

https://brainly.com/question/8807196

What number would you add to both sides of x2 + 7x = 4 to complete the square? 22 72

Answers

x^2 + 2*x*(7/2) + (7/2)^2 = (x + 7/2)^2

answer is (7/2)^2

the answer is D (7/2)^2

solve for x in the equation x^2 + 20x + 100 = 36

Answers

The answers are x=(-4), or x=(-16)

Comment the correct answer.

Answer:

x = -4 or x = -16

Step-by-step explanation:

We have to solve equation x^2 + 20x + 100 = 36 and find the value of x

x² + 20x + 100 = 36

x² + 20x + 100 - 36 = 36 - 36

x² + 20x + 64 = 0

(x + 4 ) ( x + 16 ) = 0

x + 4 = 0 or x + 16 = 0

x = -4 or x = -16

Answer would be x = -4 or x = -16

7 4/5 no nearest whole number

Answers

7.8 is the decimal version. Rounded to the nearest whole number, the answer would be 8.

7 4/5 to the nearest whole number is 8. You get this because you look at the fraction and see if it is half-way or above half-way to 8 than round it to 8, but if it's below half-way than round it down to 7.

Your answer is: 8

Have an amazing day mate!

Your promotional budget for this year is $200 for personal selling, $400 for sales promotion, $1000 for advertising, and $700 for image promotion. What is your total promotion budget for this year?

Answers

[tex]1000 + 700 + 400 + 200 = 2300[/tex]

Budget for personal selling =$200

Budget for sales promotion = $400

Budget for advertising =$1000

Budget for image promotion =$700

Total Budget =Adding all the values = 200 +400+1000 +700 = 2300

So total promotion budget for this year is $2300

Choose the correct product of (3x − 8)2.
9x2 − 64
9x2 + 64
9x2 − 48x + 64
9x2 + 48x + 64

Answers

Lets get started :)

(3x - 8)²

(3x - 8)(3x - 8)

(3x)² - 8(3x) - 3x(8) + (8)²

9x² - 24x - 24x + 64

9x² - 48x + 64

Your answer will be the second last option

The third option is the correct answer.

A large tank is filled to capacity with 400 gallons of pure water. brine containing 3 pounds of salt per gallon is pumped into the tank at a rate of 4 gal/min. the well-mixed solution is pumped out at the same rate. find the number a(t) of pounds of salt in the tank at time t. a(t) = lb

Answers

Final answer:

The student's question involves setting up and solving a differential equation for the amount of salt in a tank where brine is added and mixed solution is removed at constant rates.

Explanation:

The problem is related to a differential equation modeling the amount of salt in a tank of water where the concentration changes over time. We are given a tank with an initial volume of 400 gallons of pure water. Brine with 3 pounds of salt per gallon is added at a rate of 4 gallons per minute, and the well-mixed solution leaves the tank at the same rate.

To find the number of pounds of salt a(t) in the tank at any time t, we can set up a differential equation based on the rates of salt entering and leaving the tank:

[tex]$\frac{dA}{dt} = rate_{in} - rate_{out}$[/tex]

Where A represents the amount of salt in the tank, $rate_{in}$ is the rate at which salt enters the tank, and $rate_{out}$ is the rate at which salt leaves the tank.

[tex]$rate_{in} = 3 pounds/gallon \times 4 gallons/minute = 12 pounds/minute$[/tex]

[tex]$rate_{out} = \frac{A(t)}{400} \times 4 gallons/minute = \frac{A(t)}{100} pounds/minute$,[/tex] since the concentration of salt leaving is[tex]$\frac{A(t)}{400}$ pounds/gallon.[/tex]

The differential equation becomes:

[tex]$\frac{dA}{dt} = 12 - \frac{A}{100}$[/tex]

This equation can be solved using the separation of variables or an integrating factor method, depending on the student's level of mathematical knowledge.

PLEASE HELP!! WILL GIVE BRAINLIEST!!

Question 3: The figure below shows a shaded region and a nonshaded region. Angles in the figure that appear to be right angles are right angles

Part A: What is the area, in square feet, of the shaded region?

Part B: What is the area, in square feet, of the nonshaded region?

Answers

Area of part 1:A1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2Area of part 2:A2=length*width=(8+2)*1=10 ft2Area of part 3:A3=length*width=8*2=16 ft2
Total shaded area : A1+A2+A3=41 ft2Total area of the reactangle : A=16*8=128 ft2Total area of the nonshaded region : 128-41=87 ft2

If a translation maps point (3, 2) to (4, 5); or T: (3, 2) (4, 5), then what is the image of the point (0, 0)?

Answers

Translation is a rigid transformation that moves every point on a figure by the same distance in a given direction.

On this problem is given that the point T was translate from the coordinate (3,2) to the coordinate (4,5). Meaning that the image is a translation of one unit to the right and three units up with relation to the preimage.

Point (0,0) would be translated one unit to the right and three units up.
Giving the new point or preimage, the coordinates of (1,3)

Answer:

(1,3)

Step-by-step explanation:

Choose the correct simplification of the expression the quantity a to the 4th power over b to the 2nd power all raised to the 3rd power.
a to the 7th power over b to the 5th power
a to the 12th power over b to the 6th power
ab9
a12b6

Answers

Lets get started :)

a to the 4th power = a⁴
over
b to the 2nd power = b²
( [tex] \frac{a^4}{b^2} [/tex] ) raised to 3rd power = ( [tex] \frac{a^4}{b^2} [/tex] )³

The power of power properties apply here
(a) 4 x 3 = 12
(b) 2 x 3 = 6

[tex] \frac{a^1^2}{b^6} [/tex]

Your answer will be the 2nd Option
a to the 12th power over b to the 6th power

Your answer will be the second choice.

1.) One side of a rectangle is 7 inches and the other side is x inches. What values of x will make the perimeter at most 26 inches?

2.) Use the fact that the sum of the 3 angles in a triangle is 180 degree to answer this question. One angle in a triangle has a measure that is three times as large as the smallest angle. The measure of the third angle is 35 degree more than that of the smallest angle. Find the measure of the each of the angles.
I need the smallest angle, The middle angle and largest angle .

Thank you !

Answers

1. The answer is 6.

Mr. Fry is building a fence around his pool. •Length of the fence is 60 feet. •Width of the fence is 30 feet. How many yards of fence will Mr. Fry build? A) 30 yards B) 60 yards C) 90 yards D) 540 yards i need help!!!!!!!!!

Answers

Mr. Fry will need 60 yards of fencing to encircle his pool, as the perimeter of the rectangular pool area is 180 feet and there are 3 feet in a yard.

To determine the total amount of fencing Mr. Fry will need, we calculate the perimeter of the rectangular area around the pool. The perimeter can be found by doubling the length then adding this to double the width. Therefore:

Perimeter = 2× Length + 2× Wid
= 2 × 60 feet + 2 × 30 feet
= 120 feet + 60 feet
= 180 feet

Now, knowing that 1 yard equals 3 feet, we can convert feet into yards:

Yards = Feet ÷ 3
= 180 feet ÷ 3
= 60 yards

Hence, Mr. Fry will need 60 yards of fence for his pool.

To determine the number of yards of fence Mr. Fry will build, we calculate the perimeter of the rectangular area (2 x (60 + 30) feet = 180 feet) and then convert it to yards (180 feet / 3 = 60 yards).

Mr. Fry is building a fence around his pool and wants to know how many yards of fence he will need. The fence has a length of 60 feet and a width of 30 feet. To find the total length of the fence in yards, we first calculate the perimeter of the rectangular fence which is 2 x (length + width). So, the perimeter in feet is 2 x (60 + 30) = 180 feet. Since 1 yard is equal to 3 feet, we divide the total number of feet by 3 to get the measurement in yards: 180 feet / 3 = 60 yards. Therefore, Mr. Fry will build 60 yards of fence.

for a stem competition julienne constructed a model rocket the rocket can reach an average height of 545 ft. Find the differences between the average height and the actual Heights reached. Then write them as a positive and negative rational numbers. order the differences from least to greatest

Answers

We have the following table:
545-534.2 = 10.8
545-556.4 = -11.4
545-554.0 = -9
545-535.3 = 9.7
write them as a positive and negative rational numbers
positive:
9.7 = 9 7/10
10.8 = 10 4/5
negative:
-11.4 = -11 2/5
-9 = -9
the differences from least to greatest
-11 2/5
-9
9 7/10
10 4/5

paleontologists have put together bones to make a t-rex skull that has a mass of 600 pounds.They just found a new tooth fossil to add to the skull that has a mass of 40 ounces.how many pounds in the t-rex skull with the new tooth

Answers

To find the total mass you must first convert 40 oz into lbs. There is 16oz per pound. so 40/16 = 2.5 . 600 lbs +2.5 lbs = 602.5 lbs skull

Answer:

40/16 = 2.5 . 600 lbs +2.5 lbs = 602.5 lbs skull

Step-by-step explanation:

convert 40 oz lbs and then make it 40/16

neeeeeed help asp please. thx:)

Answers

First, multiply 7 by 3 to get the pounds, which is 21.
Then multiply 12 by 3 to get the ounces, which is 36.

So A, 21 lbs 36 oz, is the correct answer.
Hope this helps!

Simplify

(343) 1/3

a)21
b)19
c)49
d)7

Answers

(343) 1/3 = 343 × 1/3

343 × 1/3 = 114 1/3

Hope this helps!

y varies directly as x. If y = -2 when x = 4, find x when y = 5.

Answers

x = -10 if im correct

[tex]\bf \qquad \qquad \textit{direct proportional variation}\\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array}\\\\ -------------------------------\\\\ \textit{we also know that } \begin{cases} y=-2\\ x=4 \end{cases}\implies -2=k4\implies \cfrac{-2}{4}=k \\\\\\ -\cfrac{1}{2}=k\qquad therefore\qquad \boxed{y=-\cfrac{1}{2}x} \\\\\\ \textit{now, if y = 5, what is \underline{x}?}\qquad 5=-\cfrac{1}{2}x[/tex]

BRAINLIEST to the one who can asnwer my question and show me the work step by step so that I can understand. I want to understand.

Approximate the arc length of one-quarter of the unit circle (which is π /2) by computing the length of the polygonal approximation with n=4 segments. (As seen in picture)

The length of the line segment on the interval 0≤x≤0.25
The length of the line segment on the interval 0.25≤x≤0.5
The length of the line segment on the interval 0.5≤x≤0.75
The length of the line segment on the interval 0.75≤x≤1

Answers

Edited 2018-03-09 07:49

Given unit circle, so radius=1.

We calculate lengths of vertical segments, with the help of Pythagoras Theorem, based on a right triangle radiating from circle centre O, and hypotenuse from O to a point on the circumference.
AO=1 (given unit circle)
BB'=sqrt(1^2-0.25^2)=0.968246
CC'=sqrt(1^2-0.5^2)=0.866025
DD'=sqrt(1^2-0.75^2)=0.661438
EE'=0

Now we proceed to calculate the segments approximating the arc. Again, we use a right triangle in which the hypotenuse is the segment joining two points on the circumference. The height is the difference between the two vertical segments, and the base is 0.25 for all four segments.
AB=sqrt((AO-BB)^2+0.25^2)=0.252009BC=sqrt((BB-CC)^2+0.25^2)=0.270091CD=sqrt((CC-DD)^2+0.25^2)=0.323042DE=sqrt((DD-0)^2+0.25^2)=0.7071068

giving a total estimation of the arc length
approximation of arc=AB+BC+CD+DE=1.55225

Hello,

Please, see the attached files.

Thanks.

Rosa is thinking of a number between 9.04 and 9.15 that has a six in the hundreds place what is the number explain

Answers

The number is 9.06. The only answers are that and 9.16. The second number does not pertain to the set range.

A 6 in the hundredths spot would be 9.06, 9.16, 9.26, 9.36, etc. Since the number has to be between 9.04 and 9.15, the only option is 9.06.

Answer: 9.06

Hope this helps! :)

Steven earns extra money babysitting. He charges $37.50 for 6 hours and $50.00 for 8 hours.

Enter an equation to represent the relationship. Let x represent the number of hours Steven babysits and y represent the amount he charges.

The equation is y =

Answers

we have that
x------------------> represent the number of hours Steven babysits
y----------------- > represent the amount he charges

for x=6 hours
y=$37.50 ----------------> y/x=37.5/6=6.25
for x=8 hours
y=$50---------------------> y/x=50/8=6.25

therefore
y=6.25x

the answer is
y=6.25x

What is the following sum? 2(^3√16x^3y)+4(^3√54x^6y^5)

Answers

Option A: 4x(^3√2y)+12x^2y(^3√2y^2)

Answer: the answer is a

Step-by-step explanation:

I just took the test

Your typical markup for merchandise is 40%. Your cost on an item is $8.00. Calculate the selling price.

Answers

To calculate the selling price of the item, you must apply the following formula:

Selling price=(Markup/Product costx100%)+Product cost

You have that:

Markup=40%
Product cost=$8.00

Given these values, you only have to substitute them into the formula of Selling price:

Selling price=(Markup/Product costx100%)+Product cost
Selling price=(40%/$8.00x100%)+$8.00
Selling price=$3.20+$8.00
Selling price=$11.20

A) A pack of 8 batteries cost £3.99 how much dose each battry cost? ( give your answer in penny ?) ________________________________B) A pack of 6 batteries of the same type costs 2.79. By calculating the price of the battery determine if this is a better value. You must show your working out?

Answers

£3.99 divided by 8 is £0.49875
Which, changed into pence and rounded up, is 50p.

£2.79 divided by 6 is £0.465
Which, changed into pence and rounded up is 47p.

50p is bigger than 47p

50 subtract 47 is 3p

The second one has the better value for money as it costs 3p less per battery.

(A) cost of each battery is [tex]49 \;\rm{penny}\\[/tex].

(B) cost of each battery is [tex]\£\;0.465[/tex].

Given: Cost of a pack of [tex]8[/tex] batteries is [tex]\£\; 3.99[/tex].

According to question,

(A) Cost of each battery can be calculated as [tex]\£\;\frac{3.99}{8}=\£\;0.49875[/tex].

As we know that,

[tex]\£\;1=100 \;\rm{penny}\\\£\;0.49=49 \;\rm{penny}\\[/tex]

(B) costs of a pack of [tex]6[/tex] batteries is [tex]\£\; 2.79[/tex].

Cost of each battery can be calculated as [tex]\£\;\frac{2.79}{6}=\£\;0.465[/tex].

Therefore, (A) cost of each battery is [tex]49 \;\rm{penny}\\[/tex].

(B) cost of each battery is [tex]\£\;0.465[/tex].

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The area of a trapezoid is 20 square units. The sum of the base lengths is 10 units. What is the height of the trapezoid

Answers

Area of trapezoid = 1/2 (sum of the base lengths) × (height)

1/2 × 10 × height = 20
5 × height = 20
height = 20/5
height = 4 units

what is the value of log3^81

Answers

Answer:

Third option is correct. The value of given expression is 4.

Step-by-step explanation:

The given expression is

[tex]log_381[/tex]

The given expression can be written as

[tex]log_3(3\times 3\times 3\times 3)[/tex]

[tex]log_3(3^4)[/tex]

According to the property of logarithm expression,

[tex]log_a(a^b)=b[/tex]

Using this property of logarithm expression, we get

[tex]log_3(3^4)=4[/tex]

Therefore the value of given expression is 4 and option third is correct.

The value of the expression log₃(81) is 4.

We have,

The value of log base 3 of 81 can be found by asking the question: "To what power must 3 be raised to obtain 81?"

In this case, the answer is 4, because 3 raised to the power of 4 equals 81.

i.e

[tex]3^4[/tex] = 81

Therefore,

The value of the expression log₃(81) is 4.

Learn more about expressions here:

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Mr. Jacobs is going to make a histogram of the test scores from the last math test he gave. He plans to first organize the data into a stem-and-leaf plot and then make the histogram from the stem-and-leaf plot. The test scores are listed below. 79, 82, 65, 61, 94, 97, 84, 77, 89, 91, 90, 83, 99, 71, 68, 77, 87, 85 What is the mode interval of the data?60-69 70-79 80-89 90-99

Answers

The modal interval would be the range of numbers that include the most number of data points. So, looking at your information, there would be 3 numbers in the 60-69 range, 4 numbers that fall in the 70-79 range, 6 numbers that fall in the 80-89 range, and 5 numbers that fall in the 90-99 range. The interval with more data than any other is the 80-89 range therefore making it the mode interval.

Answer:4

Step-by-step explanation: just mark me brainlest

a taxi cost $1.65 for the 1st Mile and $0.85 for each additional mile. Which equation could be solved to find the number x of additional miles traveled in the taxi given that the total cost of the trip is $20?

Answers

x = additional mile

0.85x + 1.65 = 20

to solve it:
subtract 1.65 from both sides. afterwards, divide both sides by 0.85 to find x!

PLEASE HELP!!! LAST QUESTION
Which of the following is the equation of a line that passes through the points (2,5) and (4,3)

A. y= -2x+5

B. y= 2x+5

C. y= -x+7

D. y= x+7

Answers

the answer is c, or y= -x+7

The answer is C. y= -x+7
To get this answer, I just substituted the x values of the given coordinates in each of the equations to see which one would produce the given y values. y= -x+7 works because:
5= (-2)+7
3= (-4)+7

residents of a small city voted on whether to allow a developer to build a shopping center.the number of votes favor of the shopping center was 4,400.the number of votes against the shopping center was 17,600.what percent of the voters were in favor of building the shopping center?

Answers

The percent of votes in favor is equal to the amount of votes in favor divided by the total number of votes.

Thus in this case, our percentage would be 4400/22000=20%.

someone please show me to how to find x, thank you.

Answers

The sum of adjacent angles is 180°.

(3y -20) +(2y +15) = 180
5y -5 = 180
y -1 = 36
y = 37

Opposite angles are equal.

5x -14 = 2y +15
5x = 2y +29
x = 0.4 y +5.8
x = 0.4*37 +5.8 = 20.6 . . . . . . . selection A is appropriate

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