B = number of boys
G = number of girls
G = 3*B since there are 3 times as many girls compared to boys
B+G = 60
B+3B = 60 ... replace G with 3B, solve for B
4B = 60
4B/4 = 60/4
B = 15, so there are 15 boys
G = 3*B
G = 3*15 ... plug in value of B
G = 45, and 45 girls
as a check
B+G = 15+45 = 60, so that works out
(5m+100) (2m+10) what is the value of m
Answer:
This is not an equation, so m's value cannot be determined.
Step-by-step explanation:
solve 5(3)x + 3 - 2 = 38 using logarithmic properties. Round your answer to three decimal places.
Answer:341/135
Step-by-step explanation:
Answer:
-1.107
Step-by-step explanation:
Math HELP 15 Points For Correct Answer
Answer:
20260
Step-by-step explanation:
The area of the side lengths is base (75) * slant height (97.5) * 1/2 *4 = 14635
The area of the base is 75^2 = 5625
Add them together ot get 20260
What’s the answer to this
Answer: (A)
Step-by-step explanation: A shows all of the right ones. It only shows the letter b because the one is “invisible.”
How many ways can a committee of 4 people be chosen from a group of 8 people if the members are selected in no particular order?
Answer:
70
Step-by-step explanation:
There are 8 choices for the first member, 7 for the second, 6 for the third, and 5 choices for the fourth member (because once you pick someone as a member, they cannot be picked again)
So you have:
8*7*6*5 = 1680
However, we realize that in this particular problem, order DOES NOT matter. (for example, ABCD is the same as DCBA.)
So we divide 1680 by 4! (4*3*2*1) to end up with 70.
You do this because because there are 4! ways to arrange 4 people in a line, and since order doesn't matter, only one of those arrangements counts.
find the value of x
helpp plss
A 7 cm x 5 cm rectangle sits inside a circle with radius of 6 cm.
What is the area of the shaded region?
Answer:
78.04 square cm
Step-by-step explanation:
Area of shaded region = area of circle - Area of rectangle
[tex] = \pi \: {r}^{2} - l \times w \\ = 3.14 \times {6}^{2} - 7 \times 5 \\ = 3.14 \times 36 - 35 \\ = 113.04 - 35 \\ = 78.04 \: {cm}^{2} [/tex]
Answer:
78.04 cm^2
Step-by-step explanation:
Hope this helps!
Which polynomials are in standard form?
Choose all answers that apply:
5 - 2x
x^4 - 8x^2
5x^3 + 4x^4+ – 3x + 1
None of the above
Answer: B
Step-by-step explanation:
I guessed and I got it right
What is the range of fat grams for the five sandwiches brainly?
Answer:
10
Step-by-step explanation:
Umm a little help pls?!
Answer:
116 degrees
Step-by-step explanation:
Supplementary Angles=180 degrees
64+x=180
180-64=116
116=116
will give brainiest to first person who answers!!!
Answer:
48 in
Step-by-step explanation:
I multiplied 16 by 3 since 6 is representing the whole 1 side of the rectangle but your trying to find half of the rectangle and that side so 6 in the equation becomes 3
Answer:
48 inches
Step-by-step explanation:
multiply 16 by 3 so 6 becomes 3
what is 0.006772 rounded to 1 significant figure?
and whats the method to doing it?
Answer:
0.007
Step-by-step explanation:
( 0.006) 6 is the first significant number.
The number next to it is seven. (0.0067) in which 7 is greater than 5.
therefore, add 1 .
the final answer is 0.007
0.006772 rounded to 1 significant figure is 0.
What is rounding off of numbers?We round off numbers to make them easier to remember and it also keeps its value approximately to the place it has been rounded off.
To round off any number to any place we'll look for the digit next to that place and if it is equal to or greater than 5 we'll add one to the previous digit and make all the digits after it zeroes and if the digit is less than 5 we do not add one to the preceding digit and simply make all the digit after it to zeroes.
Given, 0.006772 and we'll round this to 1 significant figure means only one digit it will have after the decimal place.
So, 0.006772
= 0.006770
= 0.00677
= 0.00680
= 0.00700
= 0.007
= 0.010
= 0.01
= 0.00
= 0.
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What do you want to do fo a career and how math is used in that career?
Solve for the missing measurement.
5. The area of the base of a rectangular prism is 225 units square If the volume is 1800 cubic
units, what is the height of the prism?
6. The volume of a rectangular prism is 216 cubic cm. If the height of the prism is 8 cm, what
is the area of its base? (Round to the nearest tenth)
Answer:
1) The height of the prism is 8 units.
2) The area of its base is 27 square cm.
Step-by-step explanation:
The formula of a rectangular prism is
[tex]\text{Volume}=\text{Area of base}\times \text{Height}[/tex]
1) Given : The area of the base of a rectangular prism is 225 units square If the volume is 1800 cubic units.
To find : What is the height of the prism?
Solution :
Volume = 1800 cubic units
Area of base = 225 units square
Substitute the value,
[tex]1800=225\times \text{Height}[/tex]
[tex]\text{Height}=\frac{1800}{225}[/tex]
[tex]\text{Height}=8[/tex]
The height of the prism is 8 units.
2) Given : The volume of a rectangular prism is 216 cubic cm. If the height of the prism is 8 cm.
To find : What is the area of its base?
Solution :
Volume = 216 cubic cm
Height = 8 cm
Substitute the value,
[tex]216=\text{Area of base}\times 8[/tex]
[tex]\text{Area of base}=\frac{216}{8}[/tex]
[tex]\text{Area of base}=27[/tex]
The area of its base is 27 square cm.
Does someone know how the correct answer?? I need help
Answer:
(-2,1)
Step-by-step explanation:
add 3 to x,(-5 + 3 = -2) and subtract 2 from y,(3 - 2 = 1)
Answer:
55.23
Step-by-step explanation:
Solve the system of equation using the solution method:
y=3x+2
2x-3y=8
Answer:
x=-2/7,y=8/7
Step-by-step explanation:
Simultaneous equation
y=3x+2....(1)
2x-3y=8...(2)
Substitute (1) into (2)
2x-3(3x+2)=8
2x-9x-6=8
Collect like terms
-7x=8-6
-7x=2
Divide both sides by-7
X=-2/7
Substitute the value for x into (1)
y=3(-2/7)+2
y=-6/7+2
Lcm be 7
y=-6+14/7
y=8/7
Therefore x=-2/7,y=8/7
Scientists are monitoring the populations of two insect species in a remote location in Alabama. They estimate that the
current population of insect A is 2.5 million. But it's declining at the rate of 4% per year because of habitat loss. The
estimated population of insect B is 1.2 million, and it's increasing at the rate of 200,000 per year. Let x represent the
population of each insect species in millions, and y represent the elapsed time in years. Which equation can be used to
determine how long it will take for the populations of the two species to be equal?
Answer:
2.5e^-0.04x = 1.2 + 0.2x
Step-by-step explanation:
A technology magazine finds data that suggests the prices of computers with a specific configuration follow an approximately normal distribution with a mean of $895.22 and a standard deviation of $109.30.
The magazine wants to describe the percentage of these computers that are priced below $600. What Z-Score should they use?
Answer:
-2.7
Step-by-step explanation:
i did it.
HELP PLSSSSKSSKSKSKSKSJSKFJIWIRR
The answer is -1 or d, because -1 1/2 and 3/2 are equal, except for the fact that -1 1/2 is negative.
Graph the line x=-3
what is the coefficient of y2
Answer: A coefficient is simply a variable that has a number with it. For example 2y has a coefficient. The coefficient is 2 because you will multiply 2 by y.
A coefficient is a numerical or constant quantity placed before and multiplying the variable in an algebraic expression
what percent of 3,201= 2,750
Answer:
86%
Step-by-step explanation:
1) divide 2750 by 3201 to get a part/whole ratio for a percent
2) divide and get 85.91%
Answer:
x = 85.9%
Step-by-step explanation:
Step 1: Make an equation
[tex]3201 * x = 2750[/tex]
[tex]3201x = 2750[/tex]
Step 2: Divide both sides by 3201
[tex]3201x / 3201 = 2750 / 3201[/tex]
[tex]x = 0.859...[/tex]
Step 3: Convert to percentage
[tex]x = 0.859... * 100[/tex]
x = 85.9%
Answer: x = 85.9%
Please help me just the first two questions mark brainly
Answer:
the height is 16 and the volume is 476.24 i think
Step-by-step explanation:
Given the circumference, find the radius of the circle.
Answer:
the radius is 24
Step-by-step explanation:
Answer:
[tex]2\pi \: r = 48 \\ \frac{2\pi \: r}{2} = \frac{48}{2} \\ \pi \: r = 24 \\ r \: \: = \frac{24}{\pi} \\ r = 7.639in[/tex]
help, Pls?
I got 98 for first and 31 for second(ik i'm probably wrong-_-)
Answer:
9. 149 degrees
10. 2 units
Step-by-step explanation:
9. These two triangles are congruent, which means their corresponding side lengths and angles are are equal.
Here, the angle on the bottom triangle marked x actually corresponds to the angle in the top triangle that is unlabelled. That means if we find the unlabelled angle in the top triangle, we've found x.
All angles of a triangle add up to 180, so we can write: x + 17 + 14 = 180
Solve for x: x = 180 - 17 - 14 = 149 degrees
10. Similar triangles have their corresponding angles the same and their corresponding sides in the same ratio, not the same length this time.
Notice that RP is the long leg of triangle PQR and that AC is the long leg of triangle ABC, which means that they correspond to each other and we can write the ratio: RP / AC = 16 / x.
Notice that QP is the short leg of triangle PQR and that AB is the short leg of triangle ABC, which means that they correspond to each other and we can write the ratio: QP / AB = 8 / 1.
Now we can set these two ratios equal and solve for x:
16/x = 8/1
8x = 16
x = 2 units
Answer:
9. 149°
10. 2
Step-by-step explanation:
Congruent figures have the same angles and lengths
x = 180 - 17 - 14
x = 149°
Similar figures have sides in the same ratio
1/8 = x/16
x = 16/8
x = 2
HELP ME ASAP NOW NOW NOW NOW !
C. 33π in^2
Here is why:
The formula for the surface area of a cone is:
[tex]SA=\pi r^2+\pi rl[/tex]
We can plug in the numbers from the picture, but we will keep π and not put it as 3.14, since the answer choices are in π.
[tex]SA=(\pi *3*3)+(\pi *3*8)[/tex]
[tex]SA=9\pi +24\pi[/tex]
SA = 33π
Answer is:
33π in^2
Answer:
you could have asked nicely
Step-by-step explanation:
Eva has 183 beads. She
uses 37 beads to make
a necklace. About how
many beads does she
have left over?
beads
Answer:
140
Step-by-step explanation:
183-37=146
Answer: 146beads
Step-by-step explanation:
Eva has 183beads
She used 37beads
How many left
To get that, you will deduct the used from the exact value
=183-37
=146beads
Rewrite 1/9 with a denominator of 27
Answer: 3/27
Step-by-step explanation:
Multiply both numbers by 3 so that the denominator is 27
The required fraction is 3/27 is 1/9 with a denominator of 27.
Here, we have,
given that,
we have to Rewrite 1/9 with a denominator of 27
so, we get,
the fraction is 1/9
now, we need a denominator of 27
let, x must be multiplied to make the denominator of 27
i.e. 9*x = 27
or, x = 3
so, we get,
Multiply both numbers by 3 so that the denominator is 27.
i.e. 1/9 = 3/27
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PLEASE HELP!! The mean absolute deviation for each pizzeria is approximately 10. Approximately how many times the mean absolute deviation is the difference between the means of the data sets?
The required mean absolute deviation is 2.1 times the difference between the means of the data sets.
What is mean?The mean of the values is the ratio of the total sum of values to the number of values.
To find the means of the two data sets, we need to convert the double stem-and-leaf plots into regular frequency distributions.
To calculate the mean of this data set, we can use the formula:
Mean of Giavano's = (sum of values) / (number of values)
Mean = [31+32+33+36+42+44+46+52+63+68+]/10
Mean= 44.7
Mean of brick oven = (sum of values) / (number of values)
Mean = 38+57+58*2+66+69+74+77+78+79 / 10 = 65.5
Difference of the mean = 65.5-44.7
MAD = 10
According to the question, a ratio of the difference of mean to MAD,
= 65.5 - 44.7 / 10 = 2.1
Thus, the required mean absolute deviation is 2.1 times the difference between the means of the data sets.
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Volume of a shape
Jacob’s dad gave him a soda can to use. He was able to cut off the top to have a full opening. The can is 5 inches tall and the opening has a diameter of 3 inches.
Jacob’s little sister ate her ice cream, but didn’t want to eat the cone. Jacob decided to use the cone to scoop sand and build his castle. The cone is 5 inches long and has an opening diameter of 3 inches
Answer:
The can's volume is 35.34 inches
the cone's volume is 11.78 inches
hope it helps you!!
The question asks for the volume of a cylinder and a cone, both with a height of 5 inches and a diameter of 3 inches. The volume of the cylinder is calculated as approximately 35.34 inches³, and the volume of the cone is about 11.78 inches³.
The question involves finding the volume of two different 3-dimensional shapes: a cylinder (soda can) and a cone (ice cream cone). To calculate the volume of the cylinder, we use the formula V = π r² h, where r is the radius of the circular base, and h is the height of the cylinder.
Since the diameter of the soda can is given as 3 inches, the radius (which is half of the diameter) would be 1.5 inches. For the cone, the formula for volume is V = {1}/{3} π r² h, using the same measurements for r and h as the soda can. The calculations then proceed as follows:
Cylinder: V = π (1.5)² × 5 = π × 2.25 × 5
Cone: V = {1}/{3} π (1.5)² × 5 = {1}/{3} π × 2.25 × 5
The volume of the cylinder would be approximately 35.34 inches³ and the volume of the cone would be about 11.78 inches³, assuming π is approximately 3.14159.