Answer: x= 10, y= 13. i dont know for sure so i'd wait for someone else to answer
Answer:
x = 12
y = 13
Step-by-step explanation:
by pythagoras theorem
x²=20²-16²
x²=400-256
x²=144
x=12
y²=x²+5²
y²=12²+5²
y²=144+25
y²=169
y=13
Harvey the wonder hamster can run 3 1/6 km in 1/4 hour. Harvey runs at a constant rate
Find his average speed in kilometers per hour.
Answer:
12 2/3 KMPH
Step-by-step explanation:
3 1/6 x 4 (reciprical of 1/4) = 12 2/3
In a city election, 5,000 people voted for mayor. If the new mayor received 60% of the votes, how many people voted for the new mayor? Show how you know.
Answer:
3000
Step-by-step explanation:
100%-> 5000
60%->3000
One number is seven more than six times another number. If the sum of the numbers is 21, find the numbers
Answer:the two numbers are 2 and 19
Step-by-step explanation:
Let one of the numbers be x
and the second be 7+ 6x
so that the sum of the two numbers which totals 21 be expressed as
x + (7+ 6x) = 21
x+ 7+6x= 21
7 + 7x = 21
7x= 14
x= 14/7 = 2
one of the numbers = 2
the other number given as
7+ 6x = 7+ 6 x 2= 7+12= 19
The numbers are 2 and 19 .
The numbers as described in the question are; 2 and 19
Solving word problemsFrom the given problem statements;
The first number = y
The second number = x
Hence, y = (7 + 6x)
Their sum is therefore;
x + 7 = 6x = 217x = 14x = 2Hence, the second number is; 7 + 6x = 7 + 6(2);
y = 19Read more on word problems;
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There are 48 students who play the clarinet in a year group of 120.
Write this proportion as a percentage.
Answer:
40%
Step-by-step explanation:
As a Fraction your answer would be [tex]\frac{48}{120}[/tex].
However we are looking for it as a percentage.
In order to calculate, this you can simply find 10%, and 5% of 120.
10% = 12
5% = 6
48 is divisible by 12, therefore 48 / 12 = 4
Giving you your answer which is 40%.
Find the measure of the angle, θ, where 0° ≤ θ ≤ 90°.
sinθ = 1/2
Answer:
[tex]\theta = 30^{\circ}[/tex]
Step-by-step explanation:
Given:
Range: [tex]0^{\circ} \le \theta \le 90^{\circ}[/tex]
[tex]Sin \theta = \frac{1}{2}[/tex]
Required
Find [tex]\theta[/tex]
[tex]Sin \theta = \frac{1}{2}[/tex]
Take arcsin of both sides
[tex]sin^{-1}(sin\theta) = sin^{-1}(\frac{1}{2})[/tex]
[tex]\theta = sin^{-1}(\frac{1}{2})[/tex]
Using the sin table
[tex]\theta = 30^{\circ}[/tex]
(9,18)(4,3) find the slope
Answer:
m (slope) = 3
Step-by-step explanation:
Slope is equal to the change in y over the change in x, or rise over run.
m= 3-(18) / 4-(9)
simplify
m=3
Answer:
3
Step-by-step explanation:
What is this picture an example of ?
A. Translation
B. 90 degree
C. 270
D.reflection
Answer:
(B). 90 degree
Step-by-step explanation:
it's not a or c or D it's only B
Shannon drank 1/5 cup of milk
and 3/4 cup of water. How much
did she drink altogether?
Answer
Answer:
does it have to be simpilfied? if not: 19/20
Step-by-step explanation:
What value of x will make the equation below true?
8x=4x+16
Answer:
x=-2
Step-by-step explanation:
How many solutions does this linear system have?
y = 2x-5
-8x - 4y = -20
A one solution: (-2.5, 0)
B one solution: (2.5, 0)
C no solution
D O infinite number of solutions
Answer:
B
Step-by-step explanation:
(2.5,0)
The triangles below are similar. By what ratio was triangle XYZ enlarged by to create triangle LMN? Use this information to calculate the length of the missing side. Show your work.
Answer:
Ratio: 3:2
LN = 18
Step-by-step explanation:
"similar" means that all the angles are the same and the sides were all increased by the same proportion.
Thus, we know that MN/YZ = LM/XY = NL/ZX
First, we need to find the ratio. To do this, we write MN/YZ as a fraction, and simplify.
MN/YZ = 15/10 = 3/2
(If you want, you can double check this using LM nd XY. 8 * 3/2 = 12, so this is correct)
To find the missing side, we simply multiply XZ by 3/2.
12 * 3/2 = 18, so LN = 18.
What number decreased by 23% is equals 123?
Answer: Lets call the number x
decreased means subtraction. If x is decreased bt 23% then the result is
x-23%(x) = x-(23/100)x or x-.23x
x-.23x=539
.77x=539
x=539/.77
x=700
check: 700-.23(700)=539
700-161=539
539=539
Our answer is correct
Step-by-step explanation:
hope this helps❤️❤️❤️
X+y = -15 in y = mx+b form
Answer:
y=-15x+b
Step-by-step explanation:
Just move it around and use a calucator
your family went out to dinner to celebrate your grandmas 100th birthday. The total for the dinner was $208.60, so your parents left a $31.29 tip. What percent of the bill was the tip?
Answer:
[tex]\%Tip = 13.04\%[/tex]
Step-by-step explanation:
Given
[tex]Tip= \$31.29[/tex]
[tex]Bill = \$208.60[/tex]
Required
Determine the percentage of the tip
First, we calculate the amount paid
[tex]Amount = Tip + Bill[/tex]
[tex]Amount = \$31.29 + \$208.60[/tex]
[tex]Amount = \$239.89[/tex]
The percentage of the tip is then calculated using:
[tex]\%Tip = \frac{Tip}{Amount} * 100\%[/tex]
[tex]\%Tip = \frac{31.29}{239.89} * 100\%[/tex]
[tex]\%Tip = \frac{31.29* 100}{239.89} \%[/tex]
[tex]\%Tip = \frac{3129}{239.89} \%[/tex]
[tex]\%Tip = 13.04\%[/tex]
PLEASE HELP ME match the equations at the bottom of the screen to the graph.TYSM
Answer: It's given in the equations.
Step-by-step explanation:
First One
f(x) = -2^x
Second
f(x) = -4(2)^x
Third
f(x) = 4(2)^x
Fourth
f(x) = 2^x
Find the 18h term of the arithmetic sequence whose common difference is d=4 and whose first term is a, =3.
Answer:
the 18th term is 71
Step-by-step explanation:
The general form for any term "n" in an arithmetic sequence is:
a(n) = a1 + (n-1) * d
where "d" is the common difference.
So, in our case we have:
a(n) = 3 + (n-1) *4
Therefore, the 18th term will be:
a(18) = 3 + (18 - 1) 4 = 3 + 17 * 4 = 71
the cost of New York Yankees baseball cap is 24.00. The local sporting goods store sells it for $30.00. markup rate
Which is greater. 12 laps in 8 minutes or 16 laps in 10 minutes
Answer:
16 laps in one minute
Step-by-step explanation:
If you divide it you can find that the person will run 1.6 laps in a minute and the other one will run 1.5 laps in 1 minute.
A rental car company charges a fee of $150.00 for renting a car for a week plus $0.25 per mile driven.
Answer:
y = 150z + .25x
y = $ amount of rental
z = weeks rented
x = miles driven
i hope this helps :)
What is the intercept of
y=-1/2x-1 and y=1/4x-4
Answer: The y-intercept of y = -1/2x -1 is (0,-1)
The y-intercept of y = 1/4x -4 is (0,-4)
The attachment shows the graph of these equations.
Step-by-step explanation:
Both equations are in slope-intercept form. y = mx + b
The constant, b, is the y-intercept.
The y-intercept of y = 1/2x -1 is (0,-1)
The y-intercept of y = 1/4x -4 is (0,-4)
What is y- intercept?On a graph, the y-intercept can be found by finding the value of y when x=0. This is the point at which the graph crosses through the y-axis.
Given:
y=-1/2x-1 and y=1/4x-4
For Finding the y- intercept put x= 0 we get
y = -1/2(0) -1
y= 0- 1
y= -1.
For Finding the y- intercept put x= 0 we get
y=1/4(0)-4
y= 0- 4
y= -4
Learn more about y- intercept here:
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diego has some money in his bank account before he starts a summer job. he deposits the money from the summer job in his bank account and doesn't spend any of it. After working 3 hours, he has $71 in the account. After working 12 hours, he has $134 in the account.
How much money does diego earn per hour
Answer:
About $23.77 per hour.
Step-by-step explanation:
Just thank me later and click the crown at the top of this answer if this helped ;)
The Diego earn [tex]\$ 7[/tex] per hour.
Calculation:Given that,
After working 3 hours, he has $71 in the account.
After working 12 hours, he has $134 in the account.
It means that, After working 9 hours,
Diego earn [tex]=134-71=63[/tex]
In 9 hours, earning [tex]=63\$[/tex]
In one hour, earning [tex]=63/9=\$7[/tex]
Learn more about the per hour earning here:
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Jamal spent 1 1/2 hours studying for his science test ruby studied for 1/3 the amount of time that Jamal studied what fraction of an hour did ruby spend studying
Answer:
First square 1 out of 3 are colored. Second square 1 out of 6 are colored in.
Step-by-step explanation:
Choose the model that matches the situation.
A fraction is a way to describe a part of a whole. The fraction of an hour for which Ruby studied is (1/2).
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
Given that Jamal spent 1 1/2 hours studying for his science test, while Ruby studied for 1/3 the amount of time that Jamal studied. Therefore, we can write,
[tex]\rm \text{Time for which Ruby studied} = 1\dfrac12 \times \dfrac13\\\\\text{Time for which Ruby studied} = \dfrac32 \times \dfrac13 = \dfrac12\ hours[/tex]
Hence, the fraction of an hour for which Ruby studied is (1/2).
Learn more about Fraction:
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1/2 (16x + 20)
Need help
Answer: let's say x = 1
16 x 1 =16
16+20=36
36x1/2=18
Step-by-step explanation:
what is the square root of 36
Answer:
6 !
Step-by-step explanation:
since 6 x 6 = 36, the square root is 6 !
square root is when u multiply two same numbers for the output... so like 49 would b 7, since 7 x 7 = 49 !!
im not sure if that makes any sense, but i hope it helps !!
Round number 245-320
Answer:
300
Step-by-step explanation:
if you mean, 245.320
Match the reasons with the statements in the proof.
Answer:
for some reason i cant see ur attachment. lo siento
Anyone knows this one
Answer:
10 over 11
Step-by-step explanation:
Y2 minus Y1 over X2 minus X1
Answer:
10/11 or 10 over 11 rise
Step-by-step explanation:
Slope formula: (y2 - y1) / (x2 - x1)
(-20 - 0) / (-14 - 8)
(-20) / (-22)
= 10/11
Doreen Schmidt is a chemist
Answer:
that isnt a question but good to know! :)
Step-by-step explanation:
The number 18 is which percentage of 15
Answer:
120%
Step-by-step explanation:
Answer:
120
Step-by-step explanation:
18 dived by 15 times 100.
Mom is planting a rose garden in the backyard. The scale drawing shows the garden. What is the actual width and length of the rose garden?
A: length = 34 feet
B: width = 10 feet
C: width = 5 feet
D: length = 17 feet
Answer:
34
Step-by-step explanation: