Answer:
Step-by-step explanation:
The triangle formed by the lamp post and the (24+6)foot side on the ground is similar to the right triangle formed by the person of height h and his 6 foot shadow.
H/25=6/36
H=5
The person is 5 feet tall when his shadow is 6 feet long.
What is Proportion?In general, the term "proportion" refers to a part, share, or amount that is compared to a total.
According to the concept of proportion, two ratios are in proportion when they are equal.
A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.
Given:
A person is standing 24 feet away from a street light that is 25 feet tall.
let the height of person be x when its height of shadow is 6 feet.
Using Proportion
x/ 6 = 25 / 30
30x =150
x= 150/ 30
x= 5 feet
Hence, the height of the person is 5 feet.
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There are 24 students in a math class and 20 students passed the last quiz. What was the ratio of the students who passed the quiz to those who did not pass the quiz?
Answer: 25% did not pass the quiz:)
Step-by-step explanation:
Can someone help in this math question?
Answer:
3168 cubic feet OR 3168ft^3
Step-by-step explanation:
22×18×8=3168ft^3
Suppose y varies directly as x, if y = 15 when x = 12, find x when y = 21.
Answer: x = 26
1
-
4
Answer:
16.8
Step-by-step explanation:
we have to do Unitary method.
when y=15 then x=12
when y=1 the x=12/15
when y=21 then x=(12*21)/15
x=16.8
For each Given function value, write a corresponding ordered pair
f(3)=6
g(0)=-1/2
Please Explain
Answer:
(3, 6)
(0, -1/2)
Step-by-step explanation:
in a function like f(x)
The f() represents the function and the x represents the x value you plug into the function. f(x) is the same as the y value, it is just used to show what the y value would be at a certain x value for that function
_____
f(3) = 6 means when the function f is at x = 3, the function, f = 6.
so it would be (3, 6)
g(0) = -1/2 means the function g is at x = 0, the function, f = -1/2.
so it would be (0, -1/2)
6. What might be the opportunity cost of a large portion of your income going toward credit
card payments each month?
13. A bakery is having a buy 4, get 1 free sale on cakes. This sale is eguivalent to what percentage off the regular price of all 5 cakes? A. 196 B. 10%% C. 20 D. 25%6 E. 40%
Answer: 20
Step-by-step explanation:
Which of the following represents the equation of a line that is parallel to 2y-x=16 and passes through the
point (-6, 1)?
The equation of a line that is parallel to (2y - x = 16) and passes through the point (-6, 1) is [tex](y - 1)=0.5(x+6)[/tex] and this can be determined by using the slope-intercept form of the line.
Given :
Line Equation -- 2y - x = 16Point -- (-6,1)First, convert the given line in slope-intercept form that is in the form of (y = mx + c).
2y = x + 16
[tex]y = \dfrac{1}{2}x +16[/tex]
Comparing the above equation with slope-intercept form.
m = 0.5
c = 16
The line parallel to the line (y = 0.5x + 16) means the slope of that line is also equal to 0.5.
The equation of the line whose slope is m and passing through the point [tex](x_1,y_1)[/tex] is given by:
[tex](y-y_1) = m(x-x_1)[/tex]
Now, put the value of slope m and point [tex](x_1,y_1)[/tex] in the above equation.
[tex](y - 1)=0.5(x+6)[/tex]
So, the equation of a line that is parallel to (2y - x = 16) and passes through the point (-6, 1) is [tex](y - 1)=0.5(x+6)[/tex].
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Sharon called 4 friends on Friday. On Saturday, each of those 4 friends called 4 different friends. On Sunday, each person who was called on Saturday called 4 different people.
Answer:
it [tex]4^{3}[/tex]
Step-by-step explanation:
i took a test
Which graph represents the equation y – 4 = -1/3(x-2)
JJ withdraws $20 from his bank account every week for lunch. Suppose he does not make any additional deposits or withdrawals. What integer represents the change in value of JJ's bank account after nine weeks?
Answer:
-118
Step-by-step explanation:
Since he is withdrawing, the value of 20 will be negative.
And if he is withdrawing $20 over nine weeks, then it is a multiplication problem.
So,
-20 x 9 = -118
Find the measures of the four angles below.
Answer:
x = 38.8
Step-by-step explanation:
37. Construct Arguments Luis and Raul are
riding their bicycles to the beach from their
respective homes. Luis proposes that they leave
their respective homes at the same time and
plan to arrive at the beach at the same time.
The diagram shows Luis's position at two points
during his ride to the beach.
Write an equation in slope-intercept form
to represent Luis's ride from his house to the
beach. If Raul lives 5 miles closer to the beach
than Luis, at what speed must Raul ride for the
plan to work?
Using the slope - intercept relation, the required equation which models the scenario and Raul's speed are ;
y = - 7.5x + 15 4 miles per hourTime difference, Δt = 1.2 hours - 0.5 hours = 0.7 hours
Change in distance, Δd = 11.25 - 6 = 5.25 miles
Assuming a constant speed :
Speed = (Δd ÷ Δt) = (5.25 ÷ 0.7) = 7.5 mi/hrUsing the general form :
y = bx + cAt, x = 1.2 hours ;
Miles left, y = 6 miles
End point decreases by 7.5 mi/hr (-7.5 mi/hr)
Inputting the data into the equation :
6 = - 7.5(1.2) + c
6 = - 9 + c
c = 6 + 9 = 15 miles
The expression in slope intercept form becomes ;
y = -7.5x + 15If Raul lives 5 miles closer to the beach ;
Time it will take Luis to get to the beach :
Time taken = (15 ÷ 7.5) = 2.5 hoursDistance Raul has to cover = 15 - 5 = 10 miles
To reach the beach after 2.5 hours ;
Speed required = (10 ÷ 2.5) = 4 mi/hrTherefore, Raul has to ride at 4 miles per hour for the plan to work.
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HELP PLEASE I DON´T UNDERSTAND RATIOS!
Answer:
Jake made 7 bead strings
Step-by-step explanation:
The ratio is 2:6 next would be 4:12 then 6:18 and so on. You just add what you started with to the corresponding side. 8:24, 10:30, 12:36, 14:42. The right side is 3x the left side.
Answer:
Step-by-step explanation:
You don't really need to use ratios for this question. You need to understand that for each necklace he uses 2 red and 6 whites.
Let the number of necklaces he can make = x
The total number of beads = 56
2x + 6x = 56
8x = 56 Divide by 8
8x/8 = 56/8
x = 7
So the number of necklaces possible is 7.
If you insist on doing this with ratios then you could do it as
2/8 = x/56 What this means is that 2 reds to the total = x / 56. The 56 is the total number of beads used. The x represents the number of reds.
2/8 = x/56 Cross multiply
2 * 56 = 8x Divide both sides by 8
2 * 56/8 = x
x = 14.
That means of the 56 beads used, 14 of them are red.
6/8 = y / 56 Cross multiply
6*56 = 8y
336 = 8y Divide by 8
336/8 = 8y/8
y = 42
This means that 42 beads were white
The total is 56. But here's the catch. The highest prime common to both is 7 and that's how many necklaces can be made.
Two-thirds of the sum of a number squared and 5 is fourteen
Answer:
2/3( x^2 + 5 ) = 14 or 2/3x^2 - 32/3
Step-by-step explanation:
Part 1:
Two-thirds ( 2/3 )
of the ( (---) )
sum ( + )
of a number squared ( x^2 ) and 5 ( + 5 )
is fourteen ( = 14 )
Part 2 (Not super confident about):
2/3( x^2 + 5 ) = 14
2/3x^2 + 10/3 = 14
2/3x^2 - 32/3
Hopefully this helps!
Brainliest please?
Helppppppp!!!!!!!!!!
Answer:
c and d are monomial because they have only one term
Suppose Felipe has 9.24 pounds of seed if it takes 6.6 pounds of seed to plant on acre of grass how many acres of grass can be planted?
Answer:
1.4 acres of grass can be planted.
Step-by-step explanation:
He has 9.24 pounds of seeds.
If one acre of grass needs 6.6 pounds of seeds we can divide 9.24 pounds by 6.6 pounds to find how many acres of grass he can plant.
9.24 lbs × [tex]\frac{1acre}{6.6 lbs}[/tex] = 1.4 acres
STEP BY STEP what is 8-11
Answer:
-3
Step-by-step explanation:
You might find it easier to write -(11 - 8), which is -(3), or -3.
Answer:
8-11
Infront of 8 there will be+
so +8-11
- + = - so 8-11=-3
-3 is the answer of 8-11
The price of a television was reduced from $2000 to $1400. By what
percentage was the television reduced?
Answer:
30%
Step-by-step explanation:
2000-----100%
1400------x%
x=(1400×100)÷2000
X=70%
final we go 100%-70%=30%
Television price reduced for 30%
I really need help in this, please I keep getting links! help asap. (20 points)
Allen is showing his work in simplifying –8.3 + 9.2 – 4.4 + 3.7. Identify and explain any errors in his work or in his reasoning. Write feedback to Allen explaining the mistake he made and how to correct his work.
Step Work Reasoning
−8.3 + 9.2 − 4.4 + 3.7 Original problem
1 −8.3 + 9.2 + 4.4 + 3.7 Additive inverse
2 −8.3 + 4.4 + 9.2 + 3.7 Commutative property
3 −8.3 + (4.4 + 9.2 + 3.7) Associative property
4 −8.3 + 17.3 Simplify
5 9 Simplify
Answer:
0.2
Step-by-step explanation:
8. There are 3 cows for every 4 chickens on a farm. If there are 154
animals, how many are cows?
Pls help me
Answer:
12 po
Step-by-step explanation:
I try my best I don't know if right
A person walked 19km in 2.0 hr. What is the person’s average velocity in km/he and in m/sec?
Answer:
9.5km/hr and 16.667m/s
Step-by-step explanation:
velocity = Distance / Time
v = 19/2 --> v = 9.5km/hr
v = 2000m/120s --> v = 16.66666667m/s
112°
?
find the measure of each angle indicated. the angle is supplementary.
Answer:
68
Step-by-step explanation:
PLEASE HELP!!
Josh works for MooMoo Milkshakes. The company wants to know what milkshake flavor is the most popular. Today, he surveyed
every third female customer on their favorite milkshake flavor. Eighteen customers
(out of 60 total) were surveyed, and 7 customers
prefer MooChooChocolate, 5 customers prefer VeryStrawberry, and 6 customers prefer BananaBoBanna.
What type of sampling is demonstrated in the situation above?
A. census
B. random sampling
C. negative sampling
D.convenience sampling
Answer: random sampling
Step-by-step explanation: Random sampling is where each member of the sample is randomly selected from the population. Since Josh chose every third female customer, he randomly chose the sample.
Answer: B random sampling .
Step-by-step explanation:
Convert 47/16 to a decimal using long division.
2.9375 is the answer
3 is the rounded up answer
i cant show steps cuz :p
sorry
anyway hope tis helps
Answer:
47/16
is basically dividing
47÷16
Long Division for 47 divided by 16
=2.9375
Eva
Evaluate each expression
1/5
(252)
-5
COMPLETE
27
27
DONE
Answer:
9
Step-by-step explanation:
Reduce the expression, if possible, by cancelling the common factors.
Exact Form:
9
Only an answer please please
Answer: 41
Step-by-step explanation: r= 3c+ 5
3 (12) +5 36+5= 41
Answer:
B 35
Step-by-step explanation:
the value goes up by six in each box
estimate 1.75 * 12.5
Answer:
21.875, round as needed.
Step-by-step explanation:
1.75 * 12.5
21.875
You can also round to:
21.88
21.9
22
Just depends on what your teacher is asking
Sarah's Volleyball team won 12 out of 14 games if this rate continues, how many games will they win if they play a total of 21 games
Answer:
18 games
Step-by-step explanation:
If Sarah's Volleyball team won 12 out of 14 games, then their win rate is 12/14. You can simplify this fraction down to 6/7 to make it easier, but you don't have to.
If they keep the same rate of 6/7 (6 wins for every 7 games they win), you multiply the rate by the total games to get the number of wins. wins/games (rate) x total games = total wins, so 6/7 x 21 = 18.
Find the next three terms of the arithmetic sequence.
10, 13, 16, 19, . . .
Question 9 options:
a)
16, 13, 10
b)
17, 20, 23
c)
22, 25, 28
d)
23, 26, 29
Answer:
c
Step-by-step explanation:
There is a common difference d between consecutive terms of an arithmetic sequence, that is
d = 13 - 10 = 16 - 13 = 19 - 16 = 3
To obtain the next term add the common difference 3 to the previous term.
a₅ = a₄ + 3 = 19 + 3 = 22
a₆ = a₅ + 3 = 22 + 3 = 25
a₇ = a₆ + 3 = 25 + 3 = 28
The next 3 terms are 22, 25, 28 → c
A movie theater uses a cone-shaped container to serve popcorn. The cone has a height of 12 inches and a volume of 16 π in2. What is the radius of the cone?
Volume can be defined as the capacity of a given container or a certain object.
The radius of the cone is 2 inches.
From the question, we are given the following parameters:
The height of the cone = 12 inches
The volume of the cone = 16 π in³
The formula to find the radius of the cone is given as:
√3V/πh
= √ 3 x 16π / π x 12
= 2 inches
Therefore, the radius of the cone is 2 inches.
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