The ratio of boys to girls in a group is 5:1. If there are 60 more boys than girls, work out how many people there are in total.
Answer:
The number of boys: a
The number of girls: b
=> a/b = 5
a - b = 60
=> (b + 60)/b = 5
=> b + 60 = 5b
=> 4b = 60 => b = 15 => a = 5 x 15 = 75
=> Total people:
T = a + b = 15 + 75 = 90
Hope this helps!
:)
If the two cars are now a straight-line distance of 17 kilometers apart, how far has the northbound car traveled?
Answer:
Step-by-step explanation:
The northbound car has traveled a distance of 6.2 miles.
Step-by-step explanation:
Step 1:
The eastbound car has traveled a distance of 5 miles and if a straight line is drawn between the two car's positions it would measure 8 miles.
This forms a triangle which has a hypotenuse measuring 8 miles while one of the other sides measures 5 miles.
Assume the distance traveled by the northbound car is x miles.
Step 2:
So the northbound car has traveled a distance of 6.244 miles. Rounding this off, we get 6.2 miles.
3) How many cubic feet of water can the
following in-ground swimming pool hold?
6 ft
8 ft
/8 ft
6 ft
6 ft
8 ft
144f
9514 1404 393
Answer:
(d) 528 ft³
Step-by-step explanation:
The shape is that of a trapezoidal prism. The front face is a trapezoid with bases 8 ft and 14 ft, and height 6 ft. Its area is ...
A = (1/2)(b1 +b2)h = (1/2)(8 +14)(6) = 66 . . . . square feet
Then the volume is given by ...
V = Bh
where B is the area of the (trapezoidal) base, and h is the height of the prism (8 ft). Filling in the values, we find ...
V = (66 ft²)(8 ft) = 528 ft³
The pool can hold 528 ft³ of water.
What is the relationship between a sample and a population?
a. A sample is a census that represents a population.
b. A sample and a population share the same meaning.
c. A sample is a small part of a population that represents that population.
d. A population is a small part of a sample that represents that sample.
Answer:
c. A sample is a small part of a population that represents that population.
Step-by-step explanation:
A sample is a portion of individuals used to collect data, while the population is the total number of individuals. The information from the sample is used to represent the entire population.
Therefore, c is the correct answer.
Relationship between sample and population : A sample is a small part of a population that represents that population.
Given,
Relationship between sample and population .
Here,
A sample is a portion of individuals used to collect data, while the population is the total number of individuals. The information from the sample is used to represent the entire population.
Therefore, c is the correct answer.
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If there are 13 people in club a and 20 people in club b and 25 students in total, how many people are in both clubs?
Answer:
2 students are in both clubs
Step-by-step explanation:
x = 1 student (this number may be more than the total because one student can be in 2 clubs)
Club a = 13
Club b = 20
13 + 20 = 27x
Total members of clubs - total number of students = 27x - 25 = 2
2 students are in both clubs
Hope this was useful to you!
Epstein family is making 11 gift baskets for a charity auction. Mrs. Epstein has already completed 4 1/3 baskets and Mr. Epstein has completed 1.5 baskets. How many more baskets need to be made?
What type of problem is this? How can you tell?
1.a part-whole problem because Mr. Epstein has made part of the amount Mrs. Epstein has made
2.a part-whole problem because the unmade part of the 11 baskets is unknown
3.a comparison problem because the number of completed baskets is compared to the number of unmade baskets
4.a comparison problem because the number of baskets Mrs. Epstein has completed is compared to the number Mr. Epstein has completed
ill give brainliest if u awnser
Answer:
2.a part-whole problem because the unmade part of the 11 baskets is unknown
Step-by-step explanation:
It is the only one that wold make sense with this problem
Answer:
the answer is b
Step-by-step explanation:
edge 2021
Find the area of the triangle ABC given angle A = 45°, b = 8, and c = V2.
Answer:
180
Step-by-step explanation:
triangle 1/2 base x height = area 45 x 4 = 180
Which function is graphed below
Y=1/3(3)x
Y=3{1/3}^3
Y=(1/2)^x+2
Answer:
Graph it in symbolab website
Step-by-step explanation:
Answer:
B. y=3 (1/3) ^x
Step-by-step explanation:
EF is a median of trapezoid ABCD. The length of AB is 12, and the length of CD is 18. The length of BF is 4. What is the length of FC?
Answer:
Step-by-step explanation:
The diagram representing the trapezoid is shown in the attached photo. The median EF is a line segment that is half way between the 2 bases. The length of the median is the average of the two bases. Therefore,
EF = (12 + 18)/2 = 15
Two similar trapezoids are formed. They are ABFE and EFCD
By comparing both trapezoids, it means that
4/15 = FC/18
Cross multiplying, it becomes
4 × 18 = 15FC
72 = 15FC
FC = 72/15
FC = 4.8
PLEASE HELP ME IM CRYING :(
Draw a picture for each mixed number.
Use fraction circl es or grid paper for each. 3 2/3 hours
Answer:
Step-by-step explanation:
im doing fraction circles
3 2/3
1 5/6
1 3/4
pls mark me brainliest
The volume of a cylinder is 1029pi cmcubed. The radius of the base of the cylinder is 7 cm. What is the height of the cylinder?
Answer:
Height is 21cm
Step-by-step explanation:
Volume of the cylinder = 1029pi
Base area = 7x7xpi = 49pi
Therefor the height = 1029pi/49pi=1029/49 = 21cm
Answer:
21 cm.
Step-by-step explanation:
V = π r^2 h
1029π = π * 7^2 * h The π is common so:
1029 = 7^2 h
h = 1029 / 49
= 21 cm.
help me out here! I’ll give brainliest if you give me the correct answer c:
range and interquartile question
15 POINTS + BRAINLIEST
Answer:
Range = 16
Interquartile range 6
Step-by-step explanation:
Range: largest number minus smallest number
Range = 18 - 2 = 16
Interquartile range : right line on the box minus left line on the box
(75% point - 25% point) = 12 - 6 = 6
Answer:
Range = 16
Interquartile range 6
Step-by-step explanation:
Range: largest number minus smallest number
Range = 18 - 2 = 16
Interquartile range : right line on the box minus left line on the box
(75% point - 25% point) = 12 - 6 = 6!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
Identify the slope using the table below, TYSM
Answer:
slope=3
Step-by-step explanation:
slope formula = y2-y1/x2-x1
6-3/2-1= 3/1 = 3
Find the volume of the composite figure if necessary on answer to the nearest 10
Answer:
Volume = 2448 cm3
Step-by-step explanation:
Volume = volume of cube + volume of pyramid
= 12*12*12 + 12*12*15/3
= 1728 + 720 =2448
a−8a=210, then a= [blank] .
a=-30 because -30-(8 x -30)=210.
Can someone answer this fast
Answer:
C.
Step-by-step explanation:
Well the measure of the angle between the two angles that you have been given is 180 - 45 - 75 which is 60°
75° + 60° = 135°
The arc that the central angle intercepts is equal to it.
Arc VX is 135°
what trinomial is represented by the tiles in the square?
Answer:
X^2-12x+ C
Step-by-step explanation:
Move 12x
To find the value c=(b/2^2,divide the coefficient of X by 2 and square the result.
Divide 12 by 2
(-1.6)^2
Multiply-1 by 6
(-6)^2
Raise -6 to the power of 2
36
Solve the missing elements for each problem. Use 3.14
I don’t understand what they saying I’m struggling on this problem
Answer:
(A)
Step-by-step explanation:
1/2=x/6
2x=6
x=3
THerefore, (A)
The image of (-2, 6) after a dilation with respect to the origin is (-10, 30). What is the
scale factor of the dilation?
What is the m∠2 if m∠4 = 81° and m∠3 = 40°?
a. 40°
b. 59°
c. 41°
d. 60°
Answer:
C. 41
Step-by-step explanation:
180 - 81 = 99
99+40 = 139
180 -139 = 41
a) Simplify 48 : 64
I'm really not good at ratio
Answer:
3:4
Step-by-step explanation:
They both go into 16
48/16 = 3
64/16 = 4
3:4
Answer:
3:4
is the answer according to me
You want to buy DVDs and are searching for the best price. You found two stores having sales on DVDS. Which is the one that offers the best percentage off? Then explain your reasoning.
Store 1 - Buy 2 for the price of one!
Store 2 - Buy 3 for the price of two!
Answer:
Store 1 Has a better deal as your paying 1.50 less which is 50 percent off
Step-by-step explanation:
Lets say a DVD costs 1.50
so if you bought 2 for the price of one it would be 1.50
3 for the price of 2 would be 3 dollars.
If you were to buy 2 CDS for the Price of 2 that would be 3 Dollars
3 CDS for the price of 3 would be 4.50
The Amount of money depends on the cost of 1 CD.
Store 1 has a 50 percent discount while Store 2 has roughly a 35 percent discount.
sorry if this was confusing^^
If M=(2,5) is the midpoint of AB, and A=(0,-1), then the coordinates of B are _____.
A. (4, 11)
B. (1, 3)
C. (-2, -7)
D. (1, -2)
Answer:
The point M(Mx, My) is mid-point of AB with A(Ax, Ay) and B(Bx, By).
=> 2*Mx = Ax + Bx => 2*2 = 0 + Bx => Bx = 4
=> 2*My = Ay + By => 2*(5) = -1 + By => By = 11
=> B(4, 11)
=> Option A is correct
Hope this helps!
:)
Ken used wire fencing to form a border around a circular region in his back yard. If the radius of the circular region was 5 yards, what was the total length of the border, rounded to the nearest tenth of a yard? Use 3.14 for ππ.
Answer:
31.4 yards
Step-by-step explanation:
The circumference of a circle is 2 × 3.14 × 5=31.4 yards
What is the approximate percent decrease from 1,865 to 1,240?
Answer:
It is approximately 33.5%
Answer:
A
Step-by-step explanation:
33.5%
Which of the following equations has a solution of -50?
1.) X/2= -25
2.)-2r = 50
3.)b - (20) = -30
4.)n + (-16) = 65
Answer:
1
Step-by-step explanation:
when substituting the numbers back In #1 was the only one that -50 worked in
Answer:
1.) X/2= -25
Step-by-step explanation:
solve y=x+4
y=3x−1 to get the solution
Answer:
6
Step-by-step explanation:
x = 2 y = 6 Explanation: y = 3 x (1) y = x + 4 (2) Subtracting (1) - (2): 0 = 2 x − 4 2 x = 4 x = 4 2 = 2 y = 3 × 2 = 6
Answer:
x = 2.5
y = 6.5
Step-by-step explanation:
You can solve this by setting the two equations equal to each other, like so:
x + 4 = 3x - 1
Subtract x from both sides:
x + 4 = 3x - 1
-x - x
__________
4 = 2x - 1
Add 1 to both sides:
4 = 2x - 1
+1 + 1
_________
5 = 2x
Divide by 2:
2.5 = x
Plug in 2.5 for x into the equation:
y = x + 4
y = 2.5 + 4
y = 6.5
A cash card has a starting value of $25. If the card is not used within the first year of its purchase, the value on the card begins to decrease by $2.50 per month.
The relationship between the number of months after the first year and the amount remaining on the card is ____________. (continuous, discrete)
The independent variable is the ___________. (amount remaining on the card, numbers of months after the first year)
The dependent variable is the _____________. (amount remaining on the card, numbers of months after the first year)
Answer:
The relationship between the number of months after the first year and the amount remaining on the card is discrete.
The independent variable is the
number of months after the first year.
The dependent variable is the
amount remaining on the card.
The answers are; The relationship between the number of months after the first year and the amount remaining on the card is discrete.
The independent variable is the number of months after the first year.
The dependent variable is the amount remaining on the card.
What is dependent and independent variables?The independent variable is the cause. Its value is independent of other variables in your study. The dependent variable is the effect. Its value depends on changes in the independent variable.
Given that, A cash card has a starting value of $25. If the card is not used within the first year of its purchase, the value on the card begins to decrease by $2.50 per month.
The relationship between the number of months after the first year and the amount on the remaining card is linear and inverse, which meant that, when the number of months after the first year increases, the amount on the remaining car decreases, linearly.
The Independent variable is the numbers of months after the first year.
The Dependent variable is the amount on the remaining card, because this amount depends on the time it has passed since the first year, which is our independent variable.
If we call "Y" our dependent variables and "X" our Independent variable, This relationship can be written as Y= 25 - 2.5x.
If no months had passed since the first year, then x= 0 and the amount in the card equals $25, while if one month has passed since the first year, x= 1 and y= 22.5 (The amount in the card in this case is $22.5.)
Hence, The answers are a) discrete b) numbers of months after the first year c) amount remaining on the card
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