Given:
Number of students = 35
Two out of every five boys in the club are boys.
To find:
The number of students in the club that are boys.
Solution:
Two out of every five boys in the club are boys. It means, the ratio of boys to the total number of student is 2:5.
Let the number of boys be 2x and number of students be 5x.
According to the question,
[tex]5x=35[/tex]
[tex]x=7[/tex]
Now, the number of boys is
[tex]2x=2(7)[/tex]
[tex]2x=14[/tex]
Therefore, 14 students in the club are boys.
A sequence is shown below. 4, 8, 16, 32, . . . Which formula can be used to determine the nth term in the sequence? Use the formula to find a8.
Answer:
a8 = 512.
Step-by-step explanation:
This is geometric sequence with common ratio r = 2 and first term a1 = 4.
nth term = a1 r^(n-1)
So a8 = 4 2(^8-1)
= 4 * 2^7
= 4*128 = 512.
A side of the triangle below has been extended to form an exterior angle of 125°. Find the value of X
Answer:
x = 19°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles, thus
x + 106° = 125° ( subtract 106° from both sides )
x = 19°
Got them.... I think the war is finally over..
Rat soldier: copy that
Rat Soldier: you know a bomb is gonna explode in approximately 5.4 seconds
...
Answer:
LOL THAT CAT POOR CAT
Step-by-step explanation:
nothing to see here
What value of R makes r/ -11 = (-3) true
Answer:
The value of [tex]r=33[/tex] which makes the equation true.
Step-by-step explanation:
Given the equation
[tex]\frac{r}{-11}=-3[/tex]
We have to find the value of r for which the equation must be true.
solving the equation
[tex]\frac{r}{-11}=-3[/tex]
Multiply both sides by -11
[tex]\frac{r\left(-11\right)}{-11}=\left(-3\right)\left(-11\right)[/tex]
[tex]r=33[/tex]
Therefore, the value of [tex]r=33[/tex] which makes the equation true.
VERIFICATION:
Putting [tex]r=33[/tex] in the equation
[tex]\frac{r}{-11}=-3[/tex]
[tex]\frac{33}{-11}=-3[/tex]
[tex]-3=-3[/tex] ∵ [tex]\frac{33}{-11}=-3[/tex]
L.H.S = R.H.S
Therefore, the value of [tex]r=33[/tex] which makes the equation true.
Which equation is equivalent to y = -9/4(x - 8) + 6 when solved for x?
Answer:
X = -4Y/9 + 32/3
Step-by-step explanation:
you can solve for X by simplifying both sides of the equation then isolating the variable
The value of the given equation y = -9/4(x - 8) + 6 for the x will be x = -(4/9)y + 96/9
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
More than one variable may be present inside a linear equation. An equation is said to be linear if the maximum power of the variable is consistently unity.
A formula known as an equation uses the same sign to denote the equality of two expressions.
In another word, the equation must be constrained with some constraints.
Given the equation,
y = -9/4(x - 8) + 6
By taking LCM in right-hand side
y = [-9(x - 8) + 24]/4
Cross multiply
4y = -9(x - 8) + 24
Interchange
9(x - 8) = 24 - 4y
9x - 72 = 24 - 4y
x = (4/9)y + 96/9
Hence "The value of the given equation y = -9/4(x - 8) + 6 for the x will be x = -(4/9)y + 96/9".
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Substitute and solve; 7(5f - 3n) -8 when n = 3 and f = 7
Answer:
174
Step-by-step explanation:
The sand pit for the long jump has a width of 2.7 meters and a length of 9.54 meters. Just in case it rains, the principal wants to cover the sand pit with a piece of plastic the night before the event. How many square meters of plastic will the principal need to cover the sand pit?
Answer:
A = 25.758 m²
Step-by-step explanation:
Width of the sand pit, b = 2.7 m
Length of the sand pit, l = 9.54 m
We want to cover the sand pit with a piece of plastic. We need to find how many square meters of plastic will be needed to cover the sand pit. It is equal to the area of sand pit. It is in the shape of rectangle. Its area is given by :
A = l × b
A = 2.7 × 9.54
A = 25.758 m²
So, 25.758 m² of plastic will be needed to cover the sand pit.
Accessories Central is having a summer clearance on sunglasses. Maria wants to buy a pair of sunglasses that cost $48 with a 65% discount. The same pair of sunglasses costs $38 with a 55% discount at Shades, Inc. What is the price difference between Accessories Central and Shades, Inc?
Answer:
Step-by-step explanation:
First, find the cost of both pairs of sunglasses after the discounts
65% = 65/100 = 0.65
($48)(0.65) = $31.20
55% = 55/100 = 0.55
($38)(0.55) = $20.90
Then subtract the bigger cost (31.20) from the smaller cost (20.90)
$31.20 - $20.90 = $10.30
$10.30 is your price difference.
What is the decimal, percent, and fraction?
98/100, 98%, 0.98
That's it.
What is the equation of the line parallel to the line that passes through the points (-4,2) and (12,6) and contains the point (-4,1)?
Answer:
no
Step-by-step explanation:
Which graphs show functions with direct variation? Select three options
Parking Garage Rates
Answer:
B C E
Step-by-step explanation:
A coordinate plane showing Parking Garage Rates with Time in hours on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 2.4) and (5, 4).
What is graph?A graph is a visual representation of data or a mathematical function, which is often used to show the relationship between variables or to illustrate trends over time.
In the options given, the three graphs that show functions with direct variation are represented by straight lines passing through the origin, indicating that there is a direct relationship between the two variables. Specifically:
A coordinate plane showing Parking Garage Rates with Time in hours on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 2.4) and (5, 4).A coordinate plane showing Cost of Cinnamons with Quantity in ounces on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 0.3) and (5, 1.5).A coordinate plane showing Ferry Ride Cost with Number of Persons on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 2) and (5, 8).Thus, these graphs show functions with direct variation.
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Your question seems incomplete, the probable complete question is:
Which graphs show functions with direct variation? Select three options. A coordinate plane showing Parking Garage Rates with Time in hours on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 2.4) and (5, 4). A coordinate plane showing Cost of Cinnamons with Quantity in ounces on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 0.3) and (5, 1.5). A coordinate plane showing Breakfast Cost with Number of Meals on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 1.2) and (5, 6). A coordinate plane showing Ferry Ride Cost with Number of Persons on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 2) and (5, 8). A coordinate plane showing Ferry Ride Cost with Number of Persons on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 2) and (5, 8).
Need help ASAP! Show work if you can it’s completely fine if not tho
Answer:
the answer is 133
Step-by-step explanation:
we do substitution
2*3^2=18
3^3=27
5(27-4)=115
27+115=133
what is the measure of angle ABD?
Answer:
118
Step-by-step explanation:
7x-4=6x+5
x=9
7(9)-4+6(9)+5
Your dad is designing a new garden for your backyard. He has 20 feet of fencing to go around the garden. He wants the length of the garden to be 2 1/2 feet longer than the width. How long should he make the garden?
Answer:
Length = 6.25 feet
Step-by-step explanation:
Your dad is designing a new garden for your backyard. He has 20 feet of fencing to go around the garden.
Let the width is x.
Length is 2 1/2 feet longer than the width i.e. (x+2 1/2) = (x+2.5) feet
Perimeter = 20 feet
2(l+b) = 20
(l+b) = 10
(x+2.5+x) = 10
2x+2.5 = 10
2x = 7.5
x = 3.75 feet
Length = (x+2.5)
= (3.75+2.5)
= 6.25 feet
So, the length of the garden is 6.25 feet.
I need to solve the equation and then graph the result
Answer:
[tex]p<-18[/tex]
graph:
find -18, and draw an arrow going right
if you got to flvs and are in 8th grade plsss lmk
Answer:
im not but thxxxx for points
Step-by-step explanation:
Answer:
meee help me w the module 4 DBA
Step-by-step explanation:
The data points represebt the number of swimmers at City Pool compared to the outside temperature (66, 8) (71, 23) (72 16) (75 30) (78 35) (80 24) (82 37) (86 37) (87 42) (90 50) Use the regression equation to determine how many swimmer will be at the pool when the temperature is 88F? Round to the nearest whole number
Answer:
44 swimmers
Step-by-step explanation:
Given the data points :
66, 8) (71, 23) (72 16) (75 30) (78 35) (80 24) (82 37) (86 37) (87 42) (90 50)
Temperature X:
66
71
72
75
78
80
82
86
87
90
Number of swimmers Y:
8
23
16
30
35
24
37
37
42
50
Using the online regression calculator :
The regression model obtained is ;
ŷ = 1.5045X - 88.2056
Where
1.5045 = gradient or slope
-88.2056 = intercept
x = independent variable
y = dependent variable
Number of swimmers when temperature = 88
y = 1.5045(88) - 88.2056
y = 44.19
y = 44 (nearest whole number)
Answer:
44 Swimmers
Step-by-step explanation:
I did the test....
Kamal is 17 years older than Gina. Gina is 3 years younger than Rachelle. If the sum of their ages is 77, how old is Gina?
Answer:
Answer : Gina's age is 19 years.
Step-by-step explanation:
Kamal is 17 years older than Gina. Gina is 3 years younger than Rachelle.
Let Gina's age be x years
So Kamal’s age will be = x + 17
Rachelle’s age = x + 3
the sum of their ages is 77, Accordingly
x + x + 17 + x + 3 = 77
3x + 20 = 77
3x = 77 - 20
3x = 57
x = 57/3
x = 19
Thus Gina's age is 19 years,
Kamal’s age x + 17 = 19 + 17 = 36 years
Rachelle’s age x + 3 = 19 + 3 = 22 years
Gina = 19 years old
the question is in the picture. please help
Answer:
Step-by-step explanation:
b
A washer and a dryer cost $834 combined. The washer costs $84 more than the dryer. What is the cost of the dryer?
Answer:
The dryer cost $375
Step-by-step explanation:
834/2 = 417
84/2 = 42
417 - 42 = 375
834 - 375 = 459
459 - 84 = 375
PROOF: 417 - 375 = 42 then double that answer to get 84
May I have brainliest please? :)
a 25 lb. bag of potatoes was selling for $12.00, The produce manager added a few pounds of potatoes to the bag, but did not change the price. The price of 25 lbs now was actually $10.00. How many pounds did the manager add to the bag?
Answer:
5 pounds was added
Step-by-step explanation:
What problems would you encounter if the ladder were too short or too long?
Using powers of 10, which would be the best choice for the first number to subtract in the division problem 956 87?
87
8,700
870
800
Answer:
the second one
Step-by-step explanation:
Answer:
87, I believe. The powers of 10, and 87 is in the powers of 10.
Step-by-step explanation:
Kiran walked at a constant speed. He walked 1 mile in 15 minutes. Which of these equations represents the distance d (in miles) that Kiran walks in t minutes?
Answer: [tex]d=\dfrac{t}{15}[/tex], where d= distance that Kiran walks in t minutes.
Step-by-step explanation:
Given: Kiran walked at a constant speed.
He walked 1 mile in 15 minutes.
The, distance walked by Kiran in 1 minute = [tex]\dfrac1{15}[/tex] mile
The distance that Kiran walks in t minutes = [tex]t\times\dfrac{1}{15}[/tex] miles
If d= distance that Kiran walks in t minutes
The required equation: [tex]d=\dfrac{t}{15}[/tex]
Alberto is painting a square canvas. What is the length of each side?
A population of bees is decreasing. The population in a particular region this year is 1250. After year 1, it is estimated that the population will be 1000. After 2 years it is estimated that the population will be 800. How many years will it take for the bee to be below 100?
Answer:
1250 => 250 ( subtracted from the balance population )
1000 => 300
800 => 350
450. => 400
50.
So it will take around 5 years I think to be below 100.
Thank you and please rate me as brainliest as it will help me to level up
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production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). There are two production methods it could use. With one method, the one-time fixed costs will total $19,593, and the variable costs will be per book. With the other method, the one-time fixed costs will total $63,702, and the variable costs will be $10 per book. For how many books produced will the costs from the two methods be the same?
Answer:
4480
Step-by-step explanation:
I did it
PLEASE HELP! Geometry Question. Im stuck on how to get the answer. Brainiest for correct answer
Answer:
F. [tex] 4, 4\sqrt{3} [/tex]
Step-by-step explanation:
✔️Finding length of side s using:
[tex] cos(\theta) = \frac{adjacent}{hypotenuse} [/tex]
Where,
[tex] cos(\theta) = cos(60) = \frac{1}{2} [/tex]
Adjacent = s
Hypotenuse = 8
Plug in the values
[tex] \frac{1}{2} = \frac{s}{8} [/tex]
Multiply both sides by 8
[tex] \frac{1}{2} \times 8 = \frac{s}{8} \time 8 [/tex]
[tex] \frac{8}{2} = s [/tex]
[tex] 4 = s [/tex]
s = 4
✔️Finding length of side q using:
[tex] sin(\theta) = \frac{opposite}{hypotenuse} [/tex]
Where,
[tex] sin(\theta) = sin(60) = \frac{\sqrt{3}}{2} [/tex]
Opposite = q
Hypotenuse = 8
Plug in the values
[tex] \frac{\sqrt{3}}{2} = \frac{q}{8} [/tex]
Multiply both sides by 8
[tex] \frac{\sqrt{3}}{2} \times 8 = \frac{q}{8} \times 8 [/tex]
[tex] \frac{\sqrt{3}}{1} \times 4 = q [/tex]
[tex] 4\sqrt{3} = q [/tex]
[tex] q = 4\sqrt{3} [/tex]
What is the slope and y-intercept of this graph?
The slope would be 4.
The Y-intercept is 2.
What is the square root of 243 reduced?
Answer:
9is√3
Step-by-step explanation:
I think I don't really know but that's my answer