Answer:
Our three numbers are 8, 48, and 16.
Step-by-step explanation:
Let the first, second, and third numbers be x, y, and z, respectively.
The sum of them is 72. In other words:
[tex]x + y + z = 72[/tex]
The second number y is three times the third number z. So:
[tex]y = 3z[/tex]
And the third number z is eight more than the first number x. So:
[tex]z = x + 8[/tex]
To find the numbers, solve for the system. We can substitute the last two equations into the first:
[tex]x + (3z) + ( x + 8) = 72[/tex]
Substitute again:
[tex]\displaystyle x + 3(x+8) + x+8 = 72[/tex]
Solve for x. Distribute:
[tex]x+3x+24+x+8=72[/tex]
Combine like term:
[tex]5x + 32 = 72[/tex]
Subtract:
[tex]5x = 40[/tex]
And divide:
[tex]x=8[/tex]
Thus, the first number is eight.
And since the third number is eight more than the first, the third number z is 16.
The second number is three times the third. Thus, the second number y is 3(16) or 48.
Our three numbers are 8, 48, and 16.
What's a radian?
A) The ratio between a circle's diameter and its radius
B) The distance halfway around a circle
C) The ratio between a circle's circumference and its radius
D) An angle made at the center of a circle by an arc whose length is equal to the radius of the circle
Answer:
The correct answer is d.
One of the angles of a pair of complementary angles is 50°. Find the ratio of the pair of complementary angles
Answer:
4:5
Step-by-step explanation:
A pair of complementary add up to 90, given that one of them is 50, we can do this: x + 50 = 90
solve it and we get x = 40
40 + 50 = 90, so 40 and 50 are the pair of complementary angles.
As for it's Ratio, we can just get the pair and have it as 40:50 but we can reduce it to 4:5
For the given piecewise function, evaluate for the specified value of x.
Answer:
g(-3) = 1
Step-by-step explanation:
The x-value -3 lies within the given interval x ≤ -3, and so the correct piecewise function is x + 4, not -4 or -1. Evaluating x + 4 at x = -3 yields 1.
Thus, g(-3) = 1
The required value of the function g(x) at x = -3 , g(-3) is +1.
Given that,
A function is given with their domain,
g(x) = x + 4 when x≤
g(x) = 4 when -3 < x < 3
g(x) = - 1 when x ≥ 3
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here, Function has been given with their respective limit in which the function is defined,
For the value of g(-3) the value of x = -3 lies in the limit x ≤ -3
So for this limit, we have a function,
g(x) = x + 4
g(-3) = - 3 + 4
g(-3) = +1
The required value of the function g(x) at x = -3 , g(-3) is +1.
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PLEASE HELP!! MIGHT GIVE BRAINLIEST!!!!!
Graph a line with x - intercept of -2 and has a slope of 3
Answer:
The answer must be between 20 and 5000 characters
(-1/2^5)×2^3×(3/4^2) [EVALUATE]
Step-by-step explanation:
here's the answer to your question
Please helpppp!!!!!!!
X=180-57-57=66
Dababy sus
Which similarity statement is true?
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Answer:
(a) ΔWZY ~ ΔWXZ ~ ΔZXY
Step-by-step explanation:
In order for the similarity statement to be correct, the corresponding sides need to be listed in the same order.
A: ΔWZY lists sides in order short leg (WZ), long leg (ZY).
ΔWXZ lists sides in order short leg (WX), long leg (XZ).
ΔZXY lists sides in order short leg (ZX), long leg (XY).
The first similarity statement is correct.
__
You can compare this to an incorrect one, the last one, for example.
ΔYZW lists sides in order long leg (YZ), short leg (ZW).
ΔXZW lists sides in order long leg (XZ), hypotenuse (ZW). Hypotenuse and short leg are not corresponding sides, so the similarity statement is incorrect.
A waste management company is designing a rectangular construction dumpster that will be twice as long as it is wide and must hold 10 yd3 of debris. Find the dimensions of the dumpster that will minimize its surface area.
Answer:
The dimensions are:
l = 2*1.96 = 3.92 yd
h = 5/(1.96)² = 1.30 yd
w = 1.96 yd
Step-by-step explanation:
The volume is given by:
[tex]V=l*w*h[/tex]
Where:
l is the longw the wide h the heightWe know that l = 2w, so we have:
[tex]V=2w^{2}*h[/tex]
[tex]10=2w^{2}*h[/tex]
[tex]5=w^{2}*h[/tex] (2)
Now, the surface of this parallelepiped is:
[tex]S=2wh+2lh+lw[/tex]
Using l = 2w:
[tex]S=2wh+4wh+2w^{2}[/tex]
Using (2) we obtain the surface equation in terms of w.
[tex]S=2w\frac{5}{w^{2}}+4w\frac{5}{w^{2}}+2w^{2}[/tex]
[tex]S=2\frac{5}{w}+4\frac{5}{w}+2w^{2}[/tex]
We need to take the derivative with respect to w to minimize the surface area.
[tex]S=2\frac{5}{w}+4\frac{5}{w}+2w^{2}[/tex]
[tex]S=\frac{30}{w}+2w^{2}[/tex]
[tex]\frac{dS}{dw}=-\frac{30}{w^{2}}+4w[/tex]
Now, let's equal it to zero.
[tex]0=-\frac{30}{w^{2}}+4w[/tex]
[tex]\frac{30}{w^{2}}=4w[/tex]
[tex]w^{3}=\frac{30}{4}[/tex]
[tex]w=1.96\: yd[/tex]
So, l = 2*1.96 = 3.92 yd and h = 5/(1.96)² = 1.30 yd
Therefore, the dimensions are:
l = 2*1.96 = 3.92 yd
h = 5/(1.96)² = 1.30 yd
w = 1.96 yd
I hope it helps you!
find the coefficient of the third term of (x+2)^5
Answer:
40
Step-by-step explanation:
(x+2)^5 use binomial theorem :
(a+b)^n = (n choose 0)*a^n*b^0 + (n choose 1)*a^(n-1)*b^1 + (n choose 2)*a^(n-2)*b^2) + ... + (n choose (n-1)*a^1*b^(n-1) + ( n choose n)*a^0*b^n
this seems like a lot but to break it down, notice how the exponent on 'a' decreases as the exponent on 'b' gets bigger.
also, the 'choose' formula is :
(n choose r ) = n!/ (n-r)!r!
now plug in your values
(x+2)^5 =
(5 choose 0)*x^5*2^0 + (5choose 1)*x^4*2^1 + (5 choose 2)*x^3*x^2 + (5 choose 3)*x^2*2^3 + (5 choose 4)*x^1*2^4 + (5 choose 5)*x^0*x^5
we only need the third term so we will solve for this :
(5 choose 2)*x^3*x^2
5 choose 2 = 5!/ (5-2)!2! = 5!/ 3!2! = 10
x^3 * 2^2 = 4x^3
10*4x^3 = 40x^3
Will mark BRAINLIEST :)
Area of 1 face of this cube
= s²
Because it is a square.
Answer:
s√2
Step-by-step explanation:
akakakkqkqkqakaokamqmq
There were 230 shoppers at an electronics store on opening day. The specials that day allowed 21% of shoppers to receive a free set of earbuds and 25% of shoppers to receive $5 off their first purchase. Answer parts a and b.
a. About how many shoppers received a free set of earbuds? Use an equivalent fraction to estimate.
b. About how many shoppers received $5 off their first purchase? Round the number of shoppers to the nearest whole number.
Answer:
a) About 48 of the shoppers, that is [tex]230\frac{21}{100}[/tex] of the shoppers, received a free set of earbuds.
b) About 58 shoppers, that is [tex]\frac{230}{4}[/tex] received $5 off their first purchase.
Step-by-step explanation:
a. About how many shoppers received a free set of earbuds?
21% out of 230. So
[tex]230\frac{21}{100} = 2.3(21) = 48.3[/tex]
About 48 of the shoppers, that is [tex]230\frac{21}{100}[/tex] of the shoppers, received a free set of earbuds.
b. About how many shoppers received $5 off their first purchase?
25% out of 230, so:
[tex]230\frac{25}{100} = 230\frac{1}{4} = \frac{230}{4} = 57.5[/tex]
About 58 shoppers, that is [tex]\frac{230}{4}[/tex] received $5 off their first purchase.
Select the correct answer.
Solve for x.
B.
C.
D.
Answer:
C. [tex]-\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]20x - 40 = 100x[/tex][tex]20x - 100x = 40[/tex][tex]- 80x = 40[/tex][tex]x = -\frac{40}{80}[/tex][tex]x = -\frac{1}{2}[/tex]write the greatest and least number by using the following digits with out repeating any of the digits. 2,5,1,6,3,0,8,7
Answer:
87653210=highest
01235678=least
Answer:
Least number: 10235678
Greatest number: 87653210
add the missing sequence
Answer:
a) 2, 6, 10, 14, 18, 22
b)60, 59, 57, 54, 50, 45
c)240, 120, 60, 30, 15, 7 1/2
Step-by-step explanation:
The answer was already there.
PLEASE HELP ASAP! I have been working on this same subject for three days & still keep getting it wrong.
Find the area of the figure. (Sides meet at right angles.)
3m
2m
5m
2m
3m
3m
3m
Answer:
[tex]2 \times 5 = 10 \\ 3 \times 11 = 33 \\ 10 + 33 = 43 \\ 43 {m}^{2} [/tex]
hey please give brainly
he solutions to the inequality y > −3x + 2 are shaded on the graph. Which point is a solution? (0, 2) (2, 0) (1, −2) (−2, 1)
Answer:
The Answer Is Point B (2,0)
Step-by-step explanation:
A store has clearance items that have been marked down by 55%. They are having a sale advertising an additional 40% off Clarence items what percentage of the original price do you end up paying?
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Answer:
27%
Step-by-step explanation:
The price multiplier for the first discount is (1 -55%) = 0.45.
The price multiplier for the second discount is (1 -40%) = 0.60.
Then the price multiplier for the two discounts together is ...
(0.45)(0.60) = 0.27
You end up paying 27% of the original price.
The question says Simplify 7log7(49)
9514 1404 393
Answer:
14
Step-by-step explanation:
[tex]7\log_7(49)=7\log_7(7^2)=7\cdot2=\boxed{14}[/tex]
what value makes the equation
Answer:
n = .25
Step-by-step explanation:
For the equation to be true, both sides must be equal.
20 * 4 * 3 * n = 5 * 12
240 * n = 60
n = 60/240
n = .25
Answer:
1/4
Step-by-step explanation:
20×n×4×3=5×12
or, 240n=60
or, n=60/240
or, n=1/4
Answered by GAUTHMATH
What is the value of the expression below?
e^In 4
O A. 12
B. 3
C. 4.
D. 8
SUBMI
Answer:
C. 4
Step-by-step explanation:
ln(4) = the power of e to get 4.
and then we put e to the power of that answer, so the result must be 4.
To measure achievement of third grade students, a school system randomly selects four third grade classes and tests all children in those classes. This is an example of what type of sampling?
a. systematic
b. stratified
c. cluster
d. convenience
Answer:
Cluster
Step-by-step explanation:
When observations from a large population are divided into groups, such that subjects in each of these groups are similar to one another than those in the other groups. These individual groups of observation are called clusters. In the scenario above, the random group of 4 third grade classes selected represent of cluster or group since all the subjects belong to the class grade which is to be measured and all subjects belonging to the selected cluster or group are to be measured.
Hey!!! Plz help the question is below in a image
Answer:
desculpa não consigo responder pq esta td inglês ou espanhol prá mim se vc me dizer como posso fazer para voltar a ser português possa te ajudar em algo
Answer:
2.72 [tex]cm^2[/tex]
Step-by-step explanation:
You first find the area of the whole rectangle.
Then you have to find the area of the circle. The area of a circle is [tex]2\pi r[/tex].
The radius is 1 so it will be 2[tex]\pi[/tex].
[tex]\pi[/tex] equals 3.14 so you have to do 3.14*2 that equals 6.28.
Finally subtract 9-6.28=2.72
first to answer gets brainiest
Which line plot displays a data set with an outlier?
a neon light flashes 5 times every 10 seconds. show that the light flashes 43200 times in a day
Answer: 432000
Step-by-step explanation: (Amount of seconds in a day ->) 86400÷2 (<- 5 times every 10 seconds is 1 flash every 2 seconds so yes, 2) = 43200 (<-Yay Answer-! )
PLEASE DONT AWNSER ANYTHING RANDOM I REALLY NEED THIS AND DO YOUR OWN AWNSER
Which statements about the box plot are correct? Check all that apply.
A box and whisker plot. The number line goes from 30 to 80. The whiskers range from 34 to 76, and the box ranges from 42 to 70. A line divides the box at 46.
Fifty percent of the data values lies between 34 and 46.
Seventy-five percent of the data values lies between 42 and 70.
It is unlikely that there are any outliers.
The interquartile range is 24.
The range is 36.
Answer:
Fifty percent of the data values lies between 34 and 46.
It is unlikely that there are any outliers.
Step-by-step explanation:
drawing out this box plot and looking online for a picture of the same plot:
From the box plot:
median=46
Q1=42
Q3=70
Q3-Q1= IQR=70-42=28
max=76
min=34
Range=max-min=76-34=42
no outliers seen from boxplot
Answer:
that person is right
Step-by-step explanation:
A camel can drink 15 gallons of water in 10 minutes. At this rate, how much water can the camel drink in 6 minutes?
Answer: 9 gallons
Work Shown:
(15 gallons)/(10 minutes) = (x gallons)/(6 minutes)
15/10 = x/6
15*6 = 10*x ... cross multiplication
90 = 10x
10x = 90
x = 90/10
x = 9
The camel can drink 9 gallons in 6 minutes. This is assuming that the unit rate is kept the same.
28 es que porcentaje de 144
Answer:
19.44%
Step-by-step explanation:
28/144 × 100 = 19.44
I hope this helps
19.4 percent of 144 is 28.
What is a percentage?The percentage means the required value out of 100.
It is calculated by dividing the required value by the total value and multiplying by 100.
The percentage change is also calculated using the same method.
In percentage change we find the difference between the values given.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
We have,
Percentage= M
Now,
M% of 144 = 28
M/100 x 144 = 28
Solve for M.
(M/100) x 144 = 28
M/100 = 28/144
M = 28/144 x 100
M = 19.44%
Thus,
28 is 19.4 percent of 144.
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The complete question.
28 is what percent of 144.
This probability distribution shows the
typical grade distribution for a Geometry
course with 35 students.
Resou
Grade
A
B C D F
ајӘН
Frequency 5
10
15
3
Find the probability that a student earns a
grade of D or F.
p = [?]
Enter a decimal rounded to the nearest hundredth.
Eva nail
Answer:
14.29%
Step-by-step explanation:
Total observations that had grade D or F: 5
Total observations: 35
[tex]\frac{5}{35} =\frac{1}{7} =.1429[/tex]
Answer:
.14
without rounding it is .1492 , rounded to the nearest hundredth it is .14
An organic farm has been growing an heirloom variety of summer squash. A sample of the weights of 40 summer squash revealed that the mean weight is 402.7 grams and the standard deviation 8.8 grams. What is the probability that the mean weight for a sample of 40 summer squash exceeds 405.5 grams?
a. 0.3783.
b. 0.0228.
c. 1.0000.
d. 0.5000.
Answer:
b. 0.0228
Step-by-step explanation:
We are given that
n=40
Mean,[tex]\mu=402.7 g[/tex]
Standard deviation, [tex]\sigma=8.8[/tex]g
We have to find the probability hat the mean weight for a sample of 40 summer squash exceeds 405.5 grams.
[tex]P(x>405.5)=P(\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}>\frac{405.5-402.7}{\frac{8.8}{\sqrt{40}}})[/tex]
[tex]P(x>405.5)=P(Z>\frac{2.8}{\frac{8.8}{\sqrt{40}}})[/tex]
[tex]P(x>405.5)=P(Z>2.01)[/tex]
[tex]P(x>405.5)=1-P(Z\leq 2.01)[/tex]
[tex]P(x>405.5)=1-0.977784[/tex]
[tex]P(x>405.5)=0.022216[/tex]
Hence, option b is correct.
Find the value of x from the given equation.
x3 = 125/512
518
Sla
516
815
Answer:
x = 5/8
Step-by-step explanation:
x^3 = 125/512
Take the cube root of each side
x^3 ^1/3 = (125/512)^ 1/3
We know (a/b) ^1/3 = a^ 1/3 / b^1/3
x = (125) ^1/3 / (512)^ 1/3
x = 5/8
