Answer:
In this problem, the equation is basically as follows:
F(x)=0.5x+12
where f(x) is the total cost and x represents the number of rides
F(6)= 15 means that the total cost of the amusement park when a person rides six rides is $15.
If each person gets 3/4 pound of squash, how many people can evenly split a 9-pound basket of squash from the farmer's market? Explain which number is the dividend and which is the divisor. Then write a division problem and find the quotient. Pls hurry need answer
Answer:
12
Step-by-step explanation:
Given that:
Quantity of squash that each person gets = [tex]\frac{3}{4}[/tex] pounds
Total quantity of squash present = 9 pounds
To find:
The total number of people such that the squash can be evenly split.
Solution:
To find the total number of people such that the squash can be evenly split, we need to divide the total quantity of squash with the quantity of squash that each person gets.
Therefore, the dividend is the total quantity i.e. 9 pounds.
Divisor is the quantity that a person gets i.e. [tex]\bold{\frac{3}{4}}[/tex].
The division problem is:
[tex]\dfrac{9}{\frac{3}4}[/tex]
It can be written as:
[tex]\dfrac{9\times 4}{3}\\\Rightarrow \bold{12 }[/tex]
The quotient is 12.
12 number of people can evenly split the 9 pounds of squash if each person gets [tex]\frac{3}4[/tex] pounds of squash.
Answer:
the answer is 12
Step-by-step explanation:
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F (x) =3(x-2) given that f(t) =6, find t
Answer:
[tex]\qquad{:}\longrightarrow\tt f (x)=3 (x-2)[/tex]
[tex]\qquad{:}\longrightarrow\tt f (t)=3 (t-2)[/tex]
ATQ[tex]\qquad{:}\longrightarrow\tt f(t)=6 [/tex]
[tex]\qquad{:}\longrightarrow\tt 3 (t-2)=6 [/tex]
Simplify[tex]\qquad{:}\longrightarrow\tt 3t-2=6[/tex]
[tex]\qquad{:}\longrightarrow\tt 3t=6+2 [/tex]
[tex]\qquad{:}\longrightarrow\tt 3t=8 [/tex]
[tex]\qquad{:}\longrightarrow\tt t=\dfrac{8}{3}[/tex]
[tex]\therefore\sf t=\dfrac{8}{3}[/tex]
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Answer:
Step-by-step explanation:
BF = 24
BH = ?
BH = 2/3 BF
BH = 2/3 24
BH = 16
116 is 35% of what number?
Answer:
Step-by-step explanation:
we use the formula
(116*100)/35=331.43
Answer:
about 331.43
Step-by-step explanation:
116(100)/35=331.43
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Use an equation to find the value of k so that the line that passes through (k,4) and (3,-2) has a slope of m=-1
K=
Can you help me with this
Answer with what
Step-by-step explanation:
Solve the equation for x.
logs (3x + 5) = log5 (2x + 8)
x = 7/3
x = 3
O
x = 0
O
No solution
Question 12(Multiple Choice Worth 5 points)
(02.03 MC)
Which sequence of transformations will change figure PQRS to figure P′Q′R′S′?
A coordinate grid is labeled from negative 5 to 0 to 5 on both x and y axes at increments of 1. Figure PQRS has P at ordered pair 1, 2, Q at 2,1, R at 3,2, S at 3,3. Figure P prime Q prime R prime S prime has P prime at ordered pair 1,negative 2, Q prime at 2,negative 1, R prime at 3,negative 2 and S prime at 3,negative 3.
Counterclockwise rotation about the origin by 180 degrees followed by reflection about the x-axis
Counterclockwise rotation about the origin by 180 degrees followed by reflection about the y-axis
Counterclockwise rotation about the origin by 270 degrees followed by reflection about the x-axis
Counterclockwise rotation about the origin by 270 degrees followed by reflection about the y-axis
Step-by-step explanation:
answer: counterclockwise rotation about the origin by 90degrees followed by reflection about the x-axis.
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Idahtonye has ₦50.00. He buys six mangoes and gets ₦2 change. Find the average cost of one mango. step by step explanation.
Answer:
The average cost of one mango = c = ₦8
Step-by-step explanation:
Let 'c' be the average cost of one mango
The original amount Idahtonye has = ₦50.00
The amount of mangoes Idahtonye buys = 6 mangoes
As he gets back the change of ₦2 after paying ₦50.00 to buy 5 mangoes.
Thus the equation becomes
50 - 2 = 6c
48 = 6c
dividing both sides by 6
48/6 = 6c/6
c = 8 ₦
Therefore, the average cost of one mango = c = ₦8
Two equations are given below: x + y = 10 x = 2 What is the solution to the set of equations in the form (x, y)? (5 points) ( 2, 2) ( 2, 8) ( 8, 2) ( 8, 8)
What is the value of x
Answer:
x=8
Step-by-step explanation:
8x8-24= 40
6x8+10=58
Solve the system by substitution.
y = 3x + 14
y = X
Answer:
[tex]\boxed{x = -7~~and~~ y =-7}[/tex]
Step-by-step explanation:
y = 3x + 14
y = x
.
x = 3x + 14
3x - x = -14
2x = -14
[tex]x = \frac{-14}{2}[/tex]
x = -7
.
y = x
y = -7
Answer:
x = 7 and y = -7
Step-by-step explanation:
use substitution method
what is the slope of this line? please please help me
Answer:
its 0 slope
Step-by-step explanation:
Which of the following functions best describes this graph?
A. y = x^2 - 8x +18
B. y = (x+4)(x+5)
C. y = x^2 -9x +20
D. y = (x-3)(x+4)
Answer:
C
Step-by-step explanation:
Looking at the graph, we can see the roots at two points
these are points x = 4 and x = 5
This can be written in their linear forms as;
x-4 and x-5
Finding the products of both, we have
x(x-5) -4(x-5)
= x^2 -5x -4x + 20
= x^2 - 9x + 20
This my last question I need help plz
Answer:
y-5=1/3(x-6)
Step-by-step explanation:
SO find the slope first
ANd then just fill out the point slope formula
If (2x+10°) and (3x+10°) from a linear pair,find the angles.
Step-by-step explanation:
2x+10+3x+10=180
5x=160
x=32
2x+10
2×32+10
74
3x+10
3×32+10
106
What is the approximate circumference of the circle shown belon
A. 28 cm
B. 44 cm
C. 22 cm
D. 14 cm
Naomi surveyed 480 of the students in her school about their favorite color. 95% said their favorite color was red. How many students' favorite color was red?
Answer:
456 students
Step-by-step explanation:
In order to find 95% of the 480 students, you can set up the equation below:
[tex]\frac{students}{total} = \frac{percent}{100percent}[/tex]
[tex]\frac{x}{480students} =\frac{95percent}{100 percent}[/tex]
x * 100 = 480 * 95
x = 45600 / 100 = 456
95% of 480 students is 456 students.
As Evin is driving her car, she notices that after 1 hour her gas tank has 7.25 gallons left and after 4 hours of driving, it has 3.5 gallons of gas left in it. The rate at which she is LOSING gas is 1.25 gallons....So, the slope is -1.25. How many gallons did she have to START?
Answer:
8.50 gallons of gas.
Step-by-step explanation:
The slope in this scenario is -1.25 gallons per mile, this means that for every mile that Evin drives she is wasting 1.25 gallons of gasoline. Since she only drove 1 hour at the begining and after that hour her tank had 7.25 gallons, then we can simply add 1.25 gallons to her tank at this moment to make up for the 1 hour she drove and that would give us the total amount of gas she had before she started driving.
7.25 + 1.25 = 8.50 gallons of gas.
Evin was losing gas at a rate of 1.25 gallons per hour and she started with 8.5 gallons.
A linear equation is given by:
y = mx + b;
where y, x are variables, m is the rate of change and b is the y intercept.
Let y represent the amount of gallons left after x hours.
She notices that after 1 hour her gas tank has 7.25 gallons left. Hence:
7.25 = m(1) + b
m + b = 7.25 (1)
After 4 hours of driving, it has 3.5 gallons of gas left in it. Hence:
3.5 = 4(m) + b
4m + b = 3.5 (2)
Solving equations 1 and 2 simultaneously gives m = -1.25, b = 8.5
Hence Evin was losing gas at a rate of 1.25 gallons per hour and she started with 8.5 gallons.
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Kite E F G H is inscribed in a rectangle. Points F and H are midpoints of sides of the rectangle, and creates a side length of x. Lines are drawn from point F to point H and from point E to point G and intersect at a point. Line E G is parallel to a rectangle side. The distance from point F to the intersection is 2, and the distance from H to the intersection is 5. Kite EFGH is inscribed in a rectangle where F and H are midpoints of parallel sides. The area of EFGH is 35 square units. What is the value of x? 4 units 5 units 6 units 7 units
Answer:
5 units
Step-by-step explanation:
Let point O be the point of intersection of the kite diagonals.
|OF| = 2, |OH| = 5
|FH| = |OF| + |OH| = 2 + 5 = 7
FH and EG are the diagonals of the kite. Hence the area of thee kite is:
Area of kite EFGH = (FH * EG) / 2
Substituting:
35 = (7 * |EG|) / 2
|EG| * 7 = 70
|EG| = 10 units
The longer diagonal of a kite bisects the shorter one, therefore |GO| = |EO| = 10 / 2 = 5 units
x = |GO| = |EO| = 5 units
Answer:
5 units
Step-by-step explanation:
just took the test
What is the slope of 4x + 8y = -16?
Step-by-step explanation:
slope= -a/b
=-4/8
-1/2
Find the number that belongs in the green box.
Round your answer to the nearest tenth.
Answer:
9.2
Step-by-step explanation:
Since it is a right triangle, we can use pythagorean theorem to figure out the hypotenuse length.
a^2 + b^2 = c^2
6^2 + 7^2 = c^2
36 + 49 = c^2
c^2 = 85
square root both sides get
c= 9.219, rounded to nearest tenth is 9.2
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Step-by-step explanation:
The number is 9.219
and nearest number is 9.2
The longer leg of a 30°-60°-90° triangle measures
[tex]8 \sqrt{3} [/tex]
inches. What is the length of the shorter leg?
Answer:
Length of shorter leg is 8 inches
Step-by-step explanation:
Here, we want to calculate the length of the shorter leg of a 30-60-90 triangle
In a 30-60-90 triangle, the sides are in the ratio;
1: √3 : 2
So the ratio of the length of the shorter and longer leg is;
1 : √3
So in this case let the shorter leg be x
x/8 √3 = 1/√3
8 √3 * 1 = √3 * x
x = 8 √3/√3
x = 8 inches
what is the derivative of ( 2w^2+1 ) ?
If you know about the power rule,
d/dw (2w² + 1) = 2 d/dw (w²) = 2 • 2w = 4w
If you have to use the limit definition of the derivative, let f(w) = 2w² + 1. Then
[tex]f'(w)=\displaystyle\lim_{h\to0}\frac{f(w+h)-f(w)}h[/tex]
[tex]f'(w)=\displaystyle\lim_{h\to0}\frac{(2(w+h)^2+1)-(2w^2+1)}h[/tex]
[tex]f'(w)=\displaystyle\lim_{h\to0}\frac{2(w^2+2wh+h^2)-2w^2}h[/tex]
[tex]f'(w)=\displaystyle\lim_{h\to0}\frac{4wh+2h^2}h[/tex]
[tex]f'(w)=\displaystyle\lim_{h\to0}(4w+2h)=\boxed{4w}[/tex]
A rectanglehas an aeea of 2/3 square yards. If thewidth of the rectangle is1/2 yardwuat isthelegth
Answer:
4/3 yards
Step-by-step explanation:
Given that:
Area of rectangle = 2/3 yd²
Width = 1/2 yards
The length of the rectangle =?
Let length of rectangle = x
Recall :
Area of rectangle = Length * width
2/3 = x * 1/2
2/3 = x/2
Multiply both sides by 2
2/3 * 2 = x/2 * 2
4 /3 = x
Hence, length of the rectangle = 4/3 yards
i need help please!
Answer:
the correct answer is true
(3 + 6)2 + ((17 + 8) - 42)
Answer:
1 I think.
Step-by-step explanation:
Answer: 1
Step-by-step explanation:
Given Equation
(3 + 6)2 + ((17 + 8) - 42)
We will simplify to get the answer.
[tex]= (9)[/tex] × [tex](2) + 17 + 8 - 42[/tex]
= [tex]18+17+8-42[/tex]
= [tex]18 + 25 - 42[/tex]
= [tex]18 + -17[/tex]
= 1
The answer to the question is 1.
For her birthday, Samantha received a gift card, with a value of $200, to a department store. She wants to purchase at least 5 articles of clothing for work. At the store, sweaters cost $22.49 each and dress pants cost $34.99 each. If Samantha does not spend more than the amount on the gift card, which system of inequalities could be used to determine the number of sweaters, s, and the number of dress pants, p, she can buy?
Answer:
The system of inequalities are;
p + s ≥ 5
22.49s + 34.99p ≤ 200
Where P represents number of dress pants and s represents the number of sweaters
Step-by-step explanation:
Here, we want to write system of inequalities
Let the number of sweaters be s and the number of pants be p
She wants to purchase at least 5 items
When we have at least, it means that it might be greater than or equal to that value
Thus;
p + s ≥ 5
Secondly, at most the amount to be spent is the value on the gift card which is 200
Thus;
we have;
22.49s + 34.99d ≤ 200
Jamal is hanging some lights on his house. His ladder is 12 feet long and makes an 80˚ angle with the ground. How high up the wall of his house will his ladder reach? Round your answer to the nearest hundredths place. Just enter a numeric answer, no units needed.
The ladder will reach 11.82 ft high of the wall of his house.
The situation will form a right angle triangle. Therefore,
The length of the ladder is the hypotenuse of the triangle formed.
The height of the wall is the opposite side of the triangle.
Therefore,
using trigonometric ratio,
sin 80° = opposite / hypotenuse
sin 80° = h / 12
cross multiply
h = 12 sin 80°
h = 12 × 0.98480775301
h = 11.8176930361
height of the wall ≈ 11.82 ft
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