Answer:
y=10 ( number of acrobat)
Step-by-step explanation:
let x be the elephant and y the acrobat
elephant has 4 legs and acrobat 2
4x+2y=40
x+y=15 ⇒x=15-y
substitute for x in the equation:
4(15-y)+2y=40
60-4y+2y=40
-2y=40-60
y=-20/-2
y=10 ( number of acrobat)
number of elephant=15-10=5 elephants
Please answer this in two minutes
Answer:
Hey there!
S would be 2 times 7, or 14.
Hope this helps :)
Answer:
14
Step-by-step explanation:
This is a 30-60-90 triangle, so the sides corresponding are x, 2x, and xsqrt3. the side, s, that we want is the 2x, and the x is 7. So, s is 14.
pyramid.
In the adjoining solid, a square based pyramid is
situated on the top of a square based cuboid so that
the total height of the solid is 15 cm. If the volume
of the pyramid and cuboid are 300 cm and 600 cm
respectively, find the height of the pyramid.
15 cm
adean of the same
The heich
Answer:
9 cm.
Step-by-step explanation:
Let the height of the pyramid be h cm, then the height of the cuboid is (15 - h) cm.
Volume of the pyramid:
= 1/3 * h * s^2 where s is the length of a side of the square base.
= hs^2/3 cm^3
Volume of the cuboid:
= s^2(15 - h).
So we have:
hs^2/ 3 = 300.......................(1)
s^2(15 - h) = 600..................(2)
From equation (1) :
h s^2 = 900
s^2 = 900/h
Now substitute for s^2 in equation (2) :
(900/h)(15 - h) = 600
Multiply through by h:
900(15 - h) = 600h
13500 - 900h = 600h
1500h = 13500
h = 9 cm (answer).
If the total height of the solid is 15 cm. If the volume of the pyramid and cuboid are 300 cm and 600 cm respectively, then height of pyramid is 9cm.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
Let the height of the pyramid be h cm, then the height of the cuboid is (15 - h) cm.
Volume of the pyramid:
300= 1/3 ×h×s²
300= hs²/3
hs²=900
Volume of the cuboid:
600= s² (15 - h).
600=15s²-hs²
600=15s²-900
600+900=15s²
1500=15s²
100=s²
s=10
Now substitute s value in hs²=900
h(100)=900
Divide both sides by 100
h=9cm
Hence height of the pyramid is 9cm.
To learn more on Three dimensional figure click:
https://brainly.com/question/2400003
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if R is inversely proportional to S and r=15 when S =12 what is the value of S when R =60
Answer:
s = 3Step-by-step explanation:
The variation above is written as
[tex]R = \frac{k}{S} [/tex]
Where k is the constant of variation
when R = 15
S = 12
k = R × S
k = 15 × 12
k = 180
So the formula for the variation is
[tex]R = \frac{180}{S} [/tex]
When R = 60
We have
[tex]60 = \frac{180}{S} [/tex]
Cross multiply
That's
60S = 180
Divide both sides by 60
S = 3
Hope this helps you
Your sister asks you to pick out one of her CDs to listen to. She has 6 rock, 4 country, and 4 rap CDs. If you pick one at random, what is the probability that you pick a country CD?
Hey there! I'm happy to help!
We have 6 rock, 4 country, and 4 rap CDs. If we add these all together ,we have 14 total CDs.
Since there are 4 country CDs, we have a 4/14 chance of picking one, which simplifies to 2/7 chance.
Have a wonderful day!
I'm marking good anwsers as brainliest. When solving this system of equations with substitution one of the following is a step. x+y=6, - 6x+8y = 6 -6(-x + 6) + 8y = 6 x+y = 6 -6x+8 (-x + 6) = 6 8y = 6x + 6
Answer:
(C)[tex]-6x+8(-x+6) = 6[/tex]
Step-by-step explanation:
Given the system of equations
[tex]x+y=6 \\-6x+8y = 6[/tex]
From the first equation:
x+y=6
Making y the subject, we have:
y=-x+6
Substituting y=-x+6 into the second equation, we obtain:
[tex]-6x+8(-x+6) = 6[/tex]
The correct option is C.
NOTE: The goal of substitution is to reduce the number of unknown variables to 1. Therefore, after the substitution, if you still have the two unknown, you might have done something incorrect.
Question in screenshot answer must be in cm
Answer:
30.5 cm
Step-by-step explanation:
0 < h ≤ 10 ⇔ Midpoint = 5
10 < h ≤ 20 ⇔ Midpoint = 15
20 < h ≤ 30 ⇔ Midpoint = 25
30 < h ≤ 40 ⇔ Midpoint = 35
40 < h ≤ 50 ⇔ Midpoint = 45
50 < h ≤ 60 ⇔ Midpoint = 55
⇒ Multiply each corresponding midpoint with it's frequency
(5 × 1) + (15 × 4) + (25 × 7) + (35 × 2) + (45 × 3) + (55 × 3) = 610
⇒ Divide the total of 610 by the frequencies added together
610 ÷ (1 + 4 + 7 + 2 + 3 + 3) = 610 ÷ 20 = 30.5
Abigail and Liza work as carpenters for different companies. Abigail earns $20
per hour at her company and Liza earns $25 per hour at her company. Last
week, Abigail and Liza worked for a total of 30 hours and together earned atotal of $690. How many hours did Liza work last week?
Answer as detailed as possible. Thanks :)
Answer:
L = 18 = hours worked by Lisa
a = 12 = hours worked by Abigail
Step-by-step explanation:
Given the following :
Abigail's earning = $20
Lisa's earning = $25
Last week :
Let number of hours worked by Abigail = a
Number of hours worked by Lisa = L
Total earning = $690
Total hours worked :
a + L = 30 - - - - (1)
To obtain their total earning:
(Lisa's earning per hour * hours worked) + (Abigail's earning per hour * hours worked)). $690
($25 * L) + ($20 * a) = $690
25L + 20a = 690 - - - - (2)
a + L = 30 - - - - (1)
25L + 20a = 690 - - - - (2)
L = 30 - a
25(30 - a) + 20a = 690
750 - 25a + 20a = 690
-5a = 690 - 750
-5a = - 60
a = 12
From (1)
a + L = 30 - - - - (1)
12 + L = 30
L = 30 - 12
L = 18
L = 18 = hours worked by Lisa
a = 12 = hours worked by Abigail
4 men can make 4 Cupboards in 4 days ; how many cupboards can 14 men make in 14 days?
Answer:
49 cupboards
Step-by-step explanation:
See the steps below, it is self-explanatory:
4 men ⇒ 4 days ⇒ 4 cupboards4 men ⇒ 1 day ⇒ 1 cupboard1 man ⇒ 1 day ⇒ 1/4 cupboard14 men ⇒ 1 day ⇒ 14/4 cupboards14 men ⇒ 14 days ⇒ 14*14/4 cupboardsAs 14*14/4= 49, the answer is 49 cupboards
Which of the following equations have no solutions?
Choose all answers that apply:
-602 + 32 = –60r – 32
-60.X + 32 = 32.r – 60
-60r = 32 — 322 – 60
-602 + 32 = -60r - 60
Answer:
-60.X + 32 = 32.r – 60
Because we only have one equation for 2 unknowns.
Step-by-step explanation:
All the equations have solution for r but the one that has 2 unknowns (r and X).
That is because we only have one equation and 2 unknowns.
Then, we only can express one unknown in function of the other and have an indeterminate solution.
I need help!!! As fast as possible!!!!
Answer:
x = 44º
Step-by-step explanation:
∡P = 360 - 112*2 = 136º
∡A = x = 180 - 136º = 44º
Answer:
x=44 degrees
Step-by-step explanation:
first find angle P ( interior)
the sum of angle of circle=360
angle p=360-(112+112)= 136
angle P and x add up to 180
P+x=180
x=180-136=44 degrees
Which equation represents a linear function?
x = 3
y = 16
y = -3x + 10
y = 3x2 + 1
Please help me!!
Answer:
y = 16 and y = -3x + 10Step-by-step explanation:
The equation of a linear function:
y = mx + b
m - slope
b - y-intercept
x = 3 - it's a vertical line. It's not equation of a linear function
y = 16 - it's a horizontal line. It's an equation of a linear function
where m = 0, b = 16
y = -3x + 10 - it's an equation of a linear function
where m = -3, b = 10
y = 3x² + 1 - it's a quadratic function ( x² ).
Answer:
y = 16 and y = -3x + 10
Step-by-step explanation:
hello
Paul is a year older than his wife and they have two children who are also one year apart. Paul notices that on his birthday in 2011, the product of his age and his wife's age plus the sum of his children's ages is 2011. What would have been the result if he had done this calculation thirteen years before?
Answer:
997
Step-by-step explanation:
Well let's find the square root of 2011 because Paul and his wife are about the same age.
[tex]\sqrt{2011}[/tex]
= 44.8
Paul is 45 and his wife is 44.
44 + 45 = 1980.
2011 - 1980
= 31
So the children are 15 and 16.
45 + 44 + 15 + 16
= 997
Paul and wife - 45 and 44
Children - 15 and 16
Thus,
13 years ago they would be 997.
Hope this helps :)
Marked price of a camera is Rs.5000. If it
sold at 15% discount, what will be discount amount?
The discount is 15%, multiply the price y 15%:
5000 x 0.15 = 750
The discount is 750
Six friends went to a restaurant and agreed to share the bill equally. However, two people forgot their wallets so the other four friends' portions of the bill went up by $7 each. How many dollars was the total bill?
Answer:
The total bill was $84
Step-by-step explanation:
Ok so we know a few things, we know that the total cost of the bill is divisible by both 6 and 4, and we know that if we call the total cost of the bill x and the amount each person would pay if it was divided for 6 people y we can write these equations:
[tex]\frac{x}{6}=y[/tex]
[tex]\frac{x}{4}=y+7[/tex]
Now we can substitute the first equation into the second and solve for x
[tex]\frac{x}{4}=\frac{x}{6}+7\\\frac{x}{4}-\frac{x}{6}=7\\\frac{x}{12}=7\\x=7*12=84[/tex]
Therefore, the total bill was $84
What is the equation of a line, in general form, that passes through points (-1, 2) and (5, 2)? A. y - 2 = 0 B. y - x - 2 = 0 C. x - 2 = 0
Answer:
y=2 or y-2=0
Step-by-step explanation:
to find the equation first find the slope m points (-1,2) and (5,2)
m=y2-y1/x2-x1 =2-2/5-(-1)=0/6=0
y=mx+b the slope is zero then y=b=2
Quadrilateral ABCD is a kite. A kite. Angle A is 90 degrees, angle B is unknown, angle C is 130 degrees, angle D is unknown. What is the measure of angle B? degrees
Answer:
70 degrees
Step-by-step explanation:
(360 - 90 - 130)/2=70
What is a possible value of an integer that is more than 8 units from 20 but less than or equal to 29
Answer:
28 or 29
Step-by-step explanation:
8 more than 20 is 28 and it is less than 29
9 more than 20 is 29 and it is equal to 29
I WILL GIVE BRAINLIEST!!!! A teacher is grading the final exam. He notices that the mean test score is 61, and the standard deviation is 10. The test scores were normally distributed. if there were 450 students in the data sample, how many would have a test score between 61 and 71 *Round your answer to the nearest full value.
Answer:
153.586 close to 154 students
Step-by-step explanation:
mean=61
standard deviation =10
sample 450 students , x between 61 and 71
(x-mean)/deviation for score 61 and 71
61-61/10=0
71-61/10=1
the z-scores is between 0 and 1 ( use calculator)
the percentage is 0.3413 close to 34%
number of students that score between 61 and 71=
450*0.3413= 153.586 close to 154 students
Select the correct answer. Which equation represents a line that is perpendicular to line FG?
Answer:
Hey there!
Equation of Line FG: [tex]y=\frac{1}{2} x+3.5[/tex], because the slope (rise over run) is 2 and we see that the y intercept is 3.5.
Equation to a Line Perpendicular to FG: [tex]y=-2x-3\\[/tex], because the equations of perpendicular lines have the same (but could also be different y-intercepts), and opposite reciprocal slopes.
Let me know if this helps :)
Answer:
C)
Step-by-step explanation:
f(-5,1) & G(9,8)
Slope of FG = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
= [tex]\frac{8-1}{9-[-5]}=\frac{7}{9+5}\\\\[/tex]
[tex]\frac{7}{14}\\\\=\frac{1}{2}[/tex]
Slope of line perpendicular to FG = -1/m = -1/(1/2) = -2
Equation of line in slope intercept form : y = mx + b
m = - 2
So, option c will be the equation of the line perpendicular to FG
State whether the data described below are discrete or continuous, and explain why. The numbers of police cars different cities have Choose the correct answer below. A. The data are discrete because the data can take on any value in an interval. B. The data are continuous because the data can only take on specific values. C. The data are discrete because the data can only take on specific values. D. The data are continuous because the data can take on any value in an interval.
Answer:
Option d
Step-by-step explanation:
Continuous data are data that can take on any values within a range while discrete data can only take on particular values.
Thus for this case study, the number of police cars in different cities are usually not specific and may vary, thus this data is continuous.
The sum of two numbers, one is as large as the other is 24. Find two numbers
Answer:
4 and 20
Step-by-step explanation:
The sum of two numbers is 24.
One of the numbers is 5 times larger than the other.
Let x be the first number.
Let y be the second number.
x + y = 24
x = 5y
Put x as 5y in the first equation.
5y + y = 24
6y = 24
y = 4
Put y as 4 in the second equation.
x = 5(4)
x = 20
2 questions in the 2 pictures and then im done thank you
Answer:
Hey there!
For the first question we use the triangle area formula: 1/2bh, or 1/2(8)(5). This gives us 20 for the area.
For the second question we get a trapezoid, since the cross section does not pass through the vertex.
Hope this helps :)
Mr rigo bought 49 bags
Answer:
77 bags
Step-by-step explanation:
if he brought 49 bags then he brought 28 more bags49+28=77
A paintball court charges an initial entrance fee plus a fixed price per ball. P represents the total price (in dollars) as a function of the number of balls used n P=0.80n+5.50 What is the price for 10 balls, not including the entrance fee?
Answer:
$8
Step-by-step explanation:
It says P = per ball (which will be a number, n, for balls times the fixed price) plus a set entrance fee. So we find that the price per ball is $0.80, so 10 balls cost $8.
Answer:
$8
Step-by-step explanation:
Find the area of this shape.
4 cm
2 cm
4 cm
4 cm
-
1
5.75 cm
1
1
The area of the shape is __
square centimeters.
Answer:
shape AREA= 35cm^2
Step-by-step explanation:
you should know that this shape is a combination of triangle and trapezoid. therefore you have to find the area of each shape and add them.
A=h/2(b1 + b2) for trapezoid
A=2/2((4+4)+4)
A=1*12
A=12cm^2
A=bh/2. for TRIANGLE
A=1/2((4+4)*5.75)
A=1/2(46)
A=23cm^2
shape AREA= triangle AREA + trapezoid AREA
shape AREA=12cm^2 + 23cm^2
shape AREA= 35cm^2
Tanisha lives in an apartment and pays the following expenses each month: electric bill, $42.42; TV streaming services, $27.99; and rent, $587.70. Estimate her total expenses for the month by first rounding each value to the nearest tens place.
A) $670
B) $ 650
C) $659
D) $660
Answer:
It is C
Step-by-step explanation:
42.60=43.00
587.70=588.00
27.99=28.00
The base of a regular pyramid is a hexagon.
K here’s another one please help
Answer:
Both the relations are functions, the correct answer is a.
Step-by-step explanation:
In order to solve this problem we will first find the inverse relation as shown below:
[tex]y = 3x^2 + 5\\x = 3y^2 + 5\\3y^2 = x - 5\\y^2 = \frac{x - 5}{3}\\y = \sqrt{\frac{x - 5}{3}} = \frac{\sqrt{x - 5}}{\sqrt{3}}\\y = \frac{\sqrt{x - 5}\sqrt{3}}{\sqrt{3}\sqrt{3}} = \frac{\sqrt{3x - 15}}{3}[/tex]
Functions are relations between two groups of numbers, for which the input must generate only one output. Using this definition we can classify both the relation and its inverse as a function, therefore the correct answer is a.
HELP JOHN CHEN I need help
If mArc N P is 6 more than 5 times the measure of Arc M N , what is mArc N P ?
139°
145°
151°
174°
Answer: the answer is 151
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
