work=force* distance
=100*5
=500 joules
=500/15
=33.33 Watts.
64
4+4x U
K
36
27
72
T
96
L
Find the value of x.
The value of {x} is equivalent to 7.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given are two triangles ΔJTU and ΔJLK.
The triangles ΔJTU and ΔJLK are similar.
We can write the proportional relation as -
{JU/JK} = {JT/JL}
{- 4 + 4x/64} = {27/72}
{- 4 + 4x/64} = 3/8
- 4 + 4x = 24
4x = 28
x = 7
Therefore, the value of {x} is equivalent to 7.
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The value of x is 7.
What are similar triangles?Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.
From the given figure,
Consider ΔJKL and ΔJUT
If T and U are midpoints on JL and JK, then TU is parallel to LK.
Then ∠T=∠L (Corresponding angles)
∠U=∠K (Corresponding angles)
Hence, ΔJKL is similar to ΔJUT
Now, JT/JL = JU/JK = TU/LK
27/72 = -4+4x/64 = 36/96
9/24 = -4+4x/64 = 12/32
3/8 = -4+4x/64 = 3/8
-4+4x/64 = 3/8
-4+4x=24
4x=28
x=7
Therefore, the value of x is 7.
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Help please! I need help with this two step equations
Answer:
search it up on goggle lll
Answer:
3
Step-by-step explanation:
Pls help this is really important
Answer:
x = 30 I'm sure hope this helps
i need help asap due tonight
Answer:
3 bucks
Step-by-step explanation:
Answer:
d=3
Step-by-step explanation:
if the whole thing equals 19, and you know that part of it is 10, that leaves the rest of it to be 9. the rest is divided into 3s, if you know the whole section is 9 then all you would have to do is divide 9 by 3 and that would get you 3
A rectangle with an area of 47m² is dilated by a factor of 7. What is the area of the dilated rectangle? Enter your answer in the box. Do not leave your answer as a fraction.
?m²
Answer:
28m^2
Step-by-step explanation:
Answer:
28 square meters is correct for all future users.
Step-by-step explanation:
Gabrielle's age is three times Mikhail's age. The sum of their ages is 84. What is Mikhail's age?
Answer: 21
Step-by-step explanation:
84 divided by 4 = 21 since grabielle is 21, and then mikhail is gonna be 3 times more so it’s gonna be 63
Answer:
Mikhail=21
Gabrielle=63
Step-by-step explanation:
G=3M
G+M=84
G=84-M
3M=84-M
4M=84
M=21
G=63
Help plssssss it’s an emergency
Answer:
All I know is that the -3 should be there without the 1/3 because that makes no sense to me. And...
Step-by-step explanation:
3x+8=-4
Subtract 8 from both sides.
3x+8−8=−4−8
3x=−12
Step 2: Divide both sides by 3.
3x=−12
3 3
x=−4
Answer: Tyler's work is incorrect because when subtracting 8 from both sides of the equation, he didn't subtract it from -4. If he subtracted 8 from -4, it would've been 3x=-12.
The correct answer is x = -4
Step-by-step explanation:
you get x = -4 by subtracting 8 from each side of the equation, resulting in 3x = -12
then you divide both sides by 3, leaving you with x = -4
I want the answer only.
Someone help solve ill gift you nitro :)
Pls help will mark brainlest
Answer:
15 bags
Step-by-step explanation:
She can fill 5 bags per each pound (because there are 5 [tex]\frac{1}{5}ths[/tex] per pound)
Since there are 3 pounds, and , again, each pound can fill 5 bags, she will need 15 bags.
Another way too look at it is to ask how many 1/5ths are in 3 pounds. To find this answer mathematically:
3 ÷ 1/5 = 15 because when we divide by a fraction, we need to flip it and then multiply (so 3 ÷ 1/5 is actually 3×5)
6 1/2 minus 5 3/4 in math
6 and 1/2 minus 5 and 3/4 mathematically is equivalent to 3/4 .
Given, 6 and 1/2 minus 5 and 3/4 .
Solve for:
1. First off, convert both of these mixed number fractions into improper fractions.
6 and 1/2 minus 5 and 3/4
= [tex]\frac{13}{2} - \frac{23}{4}[/tex]
2. Find a common denominator
Multiply the numerator and denominator of the first fraction both by 2.
= [tex]\frac{13}{2} - \frac{23}{4}[/tex]
=[tex]\frac{26}{4} - \frac{23}{4}[/tex]
3. Subtract the fractions.
= [tex]\frac{26}{4} - \frac{23}{4}[/tex]
= [tex]\frac{3}{4}[/tex]
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IT'S FOR MIDDLE SCHOOOLLL PLZZZ HELPPPP
Tyler’s brother works in a shoe store. Tyler’s brother earns a commission. He makes 2.5% of the amount he sells. Last week, he sold $900 worth of shoes. How much was his commission?
Answer:
22.5 i think
Step-by-step explanation:
Answer: it is 22.5
Step-by-step explanation:
Please I need help haha it’s for math
Answer:
1600
Step-by-step explanation:
pls brainliest
Answer:
hope it helped have a good day mate
Jill and a friend are going hiking. They bring with them a container that holds 1/2 of a gallon of water. If they share the water equally what fraction of a gallon will each friend get?
Answer:
¼
Step-by-step explanation:
Solution,
Total quantity=½ gallon
Each friends quantity=½/2
=¼ gallon
Find the value of 2425÷45. Show your reasoning. fractions
Answer:
Step-by-step explanation:
53.8
Ratio table answer If I buy two ice cream’s for six dollars how much would it cost to buy 10 ice cream’s
Answer:
It would cost $30 to buy 10 ice creams.
Step-by-step explanation:
1 ice cream costs $3
10*3=30
Find the slope of the line below. Help please!
Answer:
-3/2
Step-by-step explanation:
go up 3 and left 2
1 + hk + j use h=-5, j = -6, and k = 6
Help me
9514 1404 393
Answer:
-35
Step-by-step explanation:
Put the values where the corresponding variables are and do the arithmetic.
1 + hk + j
= 1 + (-5)(6) +(-6)
= 1 -30 -6
= -35
In the diagram, △RST∼△R′S′T′. Determine the length of RS. Show your work.
100 points!
Answer:
RS = 6 feetStep-by-step explanation:
Use ratios of corresponding sides:
TS/T'S' = RS/R'S'Substitute and solve for x:
9/4 = (12x + 2)/(5x + 1)9(5x + 1) = 4(12x + 2)45x + 9 = 48x + 848x - 45x = 9 - 83x = 1x = 1/3Find the length of RS:
RS = 12x + 2 = 12(1/3) + 2 = 4 + 2 = 6 feetIn XYZ right angled at Y. find the length of the hypotenuse if the length of the other two sides is 1.6 cm and 6.3 cm.
9514 1404 393
Answer:
6.5 cm
Step-by-step explanation:
The Pythagorean theorem applies. You want c for a=1.6, b=6.3.
c² = a² +b²
c² = 1.6² +6.3² = 2.56 +36.69 = 42.25
c = √42.25 = 6.5
The length of the hypotenuse is 6.5 cm.
4/5×5/6 can you help me
Answer:
2/3
Step-by-step explanation:
4/5*5/6 =2/3
please mark
Answer:
2/3
(Decimal Form : 0.6)
Step-by-step explanation:
solve for brainliest
9514 1404 393
Answer:
∠W = 130∠X = 140∠Y = 50∠Z = 40Step-by-step explanation:
Using 'y' and 'z' to represent angles with the corresponding names, we have ...
y + z = 90
(3b -1) +(2b +6) = 90 . . . . substitute the given expressions
5b +5 = 90 . . . . . . . . . . . . simplify
b +1 = 18 . . . . . . . . . divide by 5
b = 17 . . . . . . . . subtract 1
Then the angles are ...
y = 3b -1 = 3(17) -1 = 51 -1 = 50
z = 2b +6 = 2(17) +6 = 34 +6 = 40 . . . . note that these are complementary, as theys should be
Angles W and Y form a linear pair, so are supplementary:
W = 180 -Y = 180 -50 = 130
Angles X and Z form a linear pair, so are supplementary:
X = 180 -Z = 180 -40 = 140
Then the angle measures are ...
∠W = 130∠X = 140∠Y = 50∠Z = 405 x 5/10 as a fraction
Need help with it today
Answer:
C
Step-by-step explanation:
s - 7 + 5
s - 2
Adrienne has chickens and ducks on her farm. She has 48 chickens and 28 ducks. What ratio describes the number of ducks to the number of chickens?
find the equation of the line passing through the point (2, -4) that is parallel to the line y=3x+2
Answer (assuming it can be put in point-slope format):
[tex]y + 4 = 3(x-2)[/tex]
Step-by-step explanation:
You can write an equation of a line when knowing its slope and a line it passes through using point slope formula, [tex]y-y_1 = m (x-x_1)[/tex].
1) First, find the slope of the equation. We know it has to be parallel to y = 3x + 2. Lines that are parallel have the same slope, thus the slope of y = 3x + 2 is the slope of the answer as well. y = 3x + 2 is in slope-intercept format, or [tex]y = mx + b[/tex]. The coefficient of the x term, or [tex]m[/tex], represents the slope - so, the slope must be 3.
2) Now, use point-slope formula,[tex]y-y_1 = m (x-x_1)[/tex], to write the equation. Substitute [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] for real values.
The [tex]m[/tex] represents the slope, so substitute 3 for [tex]m[/tex]. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line crosses through. The line crosses through (2, -4), so substitute 2 for [tex]x_1[/tex] and -4 for [tex]y_1[/tex]. This gives the following answer:
[tex]y - (-4) = 3 (x-(2))\\y + 4 = 3(x-2)[/tex]
a basket is filled with apples. there are 10 green apples, which is 25% of the total number of apples in the basket. which equation can be used to determine x, the total number of apples in the basket?
Answer:
X=10 times 4
Step-by-step explanation: 10 =25 percent, 25 times 4 equal 100 percent, 10 times 4 is x
What is the slope of the line?
y + 2 = -22 - 3)
Answer:
Slope is 0
Step-by-step explanation:
Simplify to get y= -27
then you can see that the slope is 0
Hope it helps :)
11.45 x 3.7 =
(step by step explanation pls)
An Analyst wants to know if there was a significant difference in the average of hours worked in a week from 2000 (Group 1) to 2004 (Group 2). He gathers all the data from the General Social Survey, and lists the following summary statistics from the sampling.
Year 2000 2004
Mean 27.34 48.12
Std. Dev 10.11 19.23
Unweighted n 43 54
Required:
What is the correct null hypothesis?
Answer:
H0 : μ2004 - μ2000 = 0
Step-by-step explanation:
Given the data:
Year ________: 2000 ___ 2004
Mean ________ 27.34 ___ 48.12
Std. Dev _______10.11 ____ 19.23
Unweighted n 43 54
The hypothesis is to test if there was a significant difference in the average number of hours worked in a week from 2000 to 2004 ;
Hence, the null hypothesis will negate the hypothesis, that is there is no difference in the average hours worked in a week from 2000 to 2004
Null hypothesis ; H0 : μ2 - μ1 = 0
Alternative hypothesis ; H1 : μ2 - μ1 ≠ 0
Null hypothesis suggest that there is no significant relationship exist in the given set of single observed variable.. As the null hypothesis negate the hypothesis. Hence the difference is zero and hypothesis for the given problem is,
[tex]H_0; (\mu_1-\mu_2)=0[/tex]
[tex]H_a; (\mu_1-\mu_2)\neq 0[/tex]
Given information-For year 2000 2004
Mean 27.34 48.12
Standard Deviation 10.11 19.23
Unweighted n 43 54
Null hypothesis
Null hypothesis suggest that there is no significant relationship exist in the given set of single observed variable.
Now the Analyst want to know if there was a significant difference in the average of hours worked in a week from year 2000 to 2004.
To detect a difference (if there it is) between the average of hours worked in a week from 2000 to 2000, it should be test the null hypothesis that there is no difference between the means against the alternative hypothesis. Therefore,
[tex]H_0; (\mu_1-\mu_2)=D_0=0[/tex]
Versus
[tex]H_a; (\mu_1-\mu_2)\neq 0[/tex]
As the null hypothesis negate the hypothesis. Hence the difference is zero and hypothesis for the given problem is,
[tex]H_0; (\mu_1-\mu_2)=0[/tex]
[tex]H_a; (\mu_1-\mu_2)\neq 0[/tex]
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