Answer:
100
Step-by-step explanation:
85 +80+100+85+x(the unknown),/the number of numbers ie 5
350+x/5=90
350+x=90 * 5
350+x=450
x=450-350
x=100
The score on the last test in order to have a test average of 90 is 100.
Given that, Rob's first four test scores are 80, 85, 100 and 85.
We need to find the score on the last test in order to have a test average of 90.
What is an average?By definition, an average is the arithmetic mean of the sum of all the values divided by the total number of values in a given set. An average is calculated for those sets of values which are more or less the same. The term average describes the numeric value that represents a large amount of data. An average can be derived by calculating the ratio of the sum of all the values to the number of units or values.
Let the score on the last test be x.
Now, average=(80+85+100+85+x)/5 =90
⇒350+x=450
⇒x=100
Therefore, the score on the last test in order to have a test average of 90 is 100.
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Can someone help me with this??
Answer:
son: 12 daniel: 32
Step-by-step explanation:
daniel is 26 in 6 years he would be 32
son is 3x younger in 6 years so 32 divided by 3 would be 10.6 (11 if estimated)
Write the equation of the line that is parallel to y=-6x+2 and that has a y-intercept of 6
The owner of a food truck determines a location for the operation. The owner maps out two office buildings on a coordinate plane. Office Building
1 is located at (−4,10), and Office Building 2 is located at (2,6). If the food truck is located halfway between Office Building 1 and Office Building 2, what is the y-coordinate of the food truck’s location?
somebody please explain and answer this!!
Answer:
y coordinate: 8
Step-by-step explanation:
middle of the two areas have the y as 8
3. In a figure a small square is cutting out from the largesquare. The area of the remaining part is 91 cm². The sum of Sides equal to 52cm.
(a). If the side of large square is x and the side of smallest square is y then find the area of the remaining part?
(b). Find the sides of the smallest square?
(c). Find the areas of the two squares?
Step-by-step explanation:
[tex]\large\underline{\sf{Solution-}}[/tex]
Given that,
ABCD is a square of side x cmEFGH is a square of side y cmFurther given that,
Sum of all sides = 52 cmIt means
Perimeter of square ABCD + Perimeter of square EFGH is 52 cmWe know,
[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ Perimeter_{[square]} \: = \: 4 \times side \: }}}[/tex]
So, using this, we have
[tex]\rm :\longmapsto\:4x + 4y = 52[/tex]
[tex]\rm :\longmapsto\:4(x + y) = 52[/tex]
[tex]\rm\implies \:\boxed{\tt{ x + y = 13}} - - - - (1)[/tex]
Now, Further given that,
If square EFGH is cutting out from square ABCD, the area of remaining part is 91 square cm.
It means
[tex]\rm :\longmapsto\:Area_{[ABCD]} - Area_{[EFGH]} = 91[/tex]
We know,
[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ Area_{[square]} = 4 \times side}}}[/tex]
So, using this, we get
[tex]\rm :\longmapsto\: {x}^{2} - {y}^{2} = 91[/tex]
can be further rewritten as using algebraic Identity,
[tex]\rm :\longmapsto\:(x + y)(x - y) = 91[/tex]
[tex]\rm :\longmapsto\:13(x - y) = 91[/tex]
[tex]\red{ \bigg\{ \sf \: \because \: using \: equation \: (1) \bigg\}}[/tex]
[tex]\rm\implies \:\boxed{\tt{ x - y = 7}} - - - - (2)[/tex]
On adding equation (1) and (2), we get
[tex]\rm :\longmapsto\:2x = 13 + 7[/tex]
[tex]\rm :\longmapsto\:2x = 20[/tex]
[tex]\rm\implies \:\boxed{ \: \bf \: \: x \: = \: 10 \:cm \: \: }[/tex]
On substituting the value of x in equation (1), we have
[tex]\rm :\longmapsto\:10 + y = 13[/tex]
[tex]\rm :\longmapsto\:y = 13 - 10[/tex]
[tex]\rm\implies \:\boxed{ \: \bf \: \: y \: = \: 3 \:cm \: \: }[/tex]
So,
[tex]\rm\implies \:\boxed{Side_{[square \: EFGH]} = y \: = 3 \: cm}[/tex]
and
[tex]\rm\implies \:\boxed{Side_{[square \: ABCD]} = x \: = 10 \: cm}[/tex]
Also,
[tex]\rm :\longmapsto\:\boxed{Area_{[square \: ABCD]} = {10}^{2} = 100 \: {cm}^{2} }[/tex]
[tex]\rm :\longmapsto\:\boxed{Area_{[squareEFGH] }\: = {3}^{2} = 9 \: {cm}^{2} }[/tex]
▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
[tex]\begin{gathered}\begin{gathered}\boxed{\begin {array}{cc}\\ \dag\quad \Large\underline{\bf Formulas\:of\:Areas:-}\\ \\ \star\sf Square=(side)^2\\ \\ \star\sf Rectangle=Length\times Breadth \\\\ \star\sf Triangle=\dfrac{1}{2}\times Breadth\times Height \\\\ \star \sf Scalene\triangle=\sqrt {s (s-a)(s-b)(s-c)}\\ \\ \star \sf Rhombus =\dfrac {1}{2}\times d_1\times d_2 \\\\ \star\sf Rhombus =\:\dfrac {1}{2}d\sqrt {4a^2-d^2}\\ \\ \star\sf Parallelogram =Breadth\times Height\\\\ \star\sf Trapezium =\dfrac {1}{2}(a+b)\times Height \\ \\ \star\sf Equilateral\:Triangle=\dfrac {\sqrt{3}}{4}(side)^2\end {array}}\end{gathered}\end{gathered}[/tex]
9 to the power 18 = 27 to the power x work out the value of x
Answer:
Step-by-step explanation:
27^x = 9÷(3^x)
So (3^3)^x = (3^2)÷(3^x)
So 3^3x = 3^(2-x)
Comparing powers on both sides,
3x = 2 - x
So, 4x = 2
So, x = 1/2
Given ( 27 ) ^ x = 9 / 3 ^x
⇒ ( 3 × 3 × 3 )^x = ( 3 × 3 ) / 3^x
⇒ ( 3 ³ )^x = 3² / 3^x
⇒ 3 ^ 3x × 3^x = 3² [ since ( a ^m)^n = a ^mn ]
⇒ 3^ (3x +x) = 3² [ since a^m × a^n = a ^m+n ]
⇒ 3^4x = 3²
⇒4x = 2 [ since If a ^m = a ^n then m = n ]
⇒ x = 2 / 4
∴ x = 1 / 2
I hope this helps you.
this one is also for trustmeiamsmrt
Answer:
The thing is I don't know if like is will put fractions or decimals so I guess try both if u can if not I would go for decimals first because that is more probable.
Midpoint of some points
AB midpoint = -1,1.5
BC midpoint = -2.5,2
CA midpoint = -2.5,1.5
Midpoint of DE = -3,0
Midpoint of FG = 3,-1
Sorry that it took some time
What is m∠PTS? Enter your answer in the box.
Answer:
55
Step-by-step explanation:
m< PTS = m< RTQ since they are vertical angles
11(y-10) = 4y-5
Distribute
11y - 110 = 4y-5
Subtract 4y from each side
11y-110-4y = 4y-5-4y
7y-110 = -5
Add 110 to each side
7y-110+110 = -5+110
7t = 105
Divide by 7
7y/7 = 105/7
y =15
We want to find m<PTS
m< PTS = 11( y-10) = 11(15-10) = 11(5) = 55
Who was in Paris ???? ?
Who?
Answer:
N.ice I.ndividual G.iven G.ood A.spects S.eriously was in paris
Step-by-step explanation:
Answer:
the French
Step-by-step explanation:
which of the following pairs are twin prime a,3 and 5
Answer:
3 and 5 are prime twin?
Huh?
The value of nCn - 1 + nCn - 2 is
(a) n/2
(b) n(n + 1)/2
(c) n(n-1)/2
(d) (n + 1)²/2
Step-by-step explanation:
We have,
[tex]\displaystyle\sf{\,^{n}C_{n-1}+\,^{n}C_{n-2}}[/tex]
[tex]\displaystyle\sf{=\dfrac{n!}{(n-1)!(n-(n-1))!}+\dfrac{n!}{(n-2)!(n-(n-2))!}}[/tex]
[tex]\displaystyle\sf{=\dfrac{n!}{(n-1)!(n-n+1)!}+\dfrac{n!}{(n-2)!(n-n+2)!}}[/tex]
[tex]\displaystyle\sf{=\dfrac{n!}{(n-1)!(1)!}+\dfrac{n!}{(n-2)!(2)!}}[/tex]
[tex]\displaystyle\sf{=\dfrac{n(n-1)!}{(n-1)!(1)!}+\dfrac{n(n-1)(n-2)!}{(n-2)!(2)!}}[/tex]
[tex]\displaystyle\sf{=\dfrac{n}{1}+\dfrac{n(n-1)}{2}}[/tex]
[tex]\displaystyle\sf{=n+\dfrac{n^2-n}{2}}[/tex]
[tex]\displaystyle\sf{=\dfrac{2n+n^2-n}{2}}[/tex]
[tex]\displaystyle\sf{=\dfrac{n^2+n}{2}}[/tex]
[tex]\displaystyle\sf{=\dfrac{n(n+1)}{2}}[/tex]
Using the combination formula, it is found that the value of the expression is given by:
(b) n(n + 1)/2
What is the combination formula?[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this problem:
[tex]C_{n, n-1} = \frac{n!}{(n-1)!(n - n + 1)!} = \frac{n(n-1)!}{(n-1)!} = n[/tex]
[tex]C_{n, n-2} = \frac{n!}{(n-2)!(n - n + 2)!} = \frac{n(n-1)(n-2)!}{(n-2)!2!} = \frac{n(n-1)}{2}[/tex]
Then, adding these values:
[tex]n + \frac{n(n-1)}{2} = \frac{2n + n^2 - n}{2} = \frac{n(n + 1)}{2}[/tex]
Hence option b is correct.
More can be learned about the combination formula at https://brainly.com/question/25821700
5x+3x-6=6x+12 what is the answer
Answer:
x=9
Step-by-step explanation:
1. Combine like terms
2. Add 6 to both sides
3. Simplify
Select the correct answer from each drop-down menu. Consider this equation. 1/x + 2/x+10 =1/3 Complete the statements to make them true. The least common denominator is . The equation will have valid solutions.
Answer:
[tex] \frac{1}{x} + \frac{2}{x} + 10 = \frac{1}{3} ) \times3 x \\ 3 + 6 +30x = x \\ 30x - x = - 9 \\ 29x = - 9 \\ x = - \frac{9}{29} [/tex]
Answer:
i have the second part!
Step-by-step explanation:
the equation will have 2 valid solutions
Multiply. 893 × 578 = 516,145 561,154 516,154 516,144
Answer:
516,154 here you goooooooooooi
Answer:
c) 516154
Step-by-step explanation:
Q) 893 × 578 = ?
→ 893 × 578
→ 516154 is the answer.
the first stage in the rational decision-making process involves ______.
Answer:
Identifying the problem
Kenya picked 18 flowers from her garden. If 3/5 of flowers in her garden remain unpicked, how many flowers are still in her garden?
Answer:
I think it's 27
Step-by-step explanation:
because if she picked 2/5 of the flowers if u divide 18 by 2 u get 9 so that's 1/5 I think and then if u times that by 3 u get 27 and like that's the 3/5
I need help with this question
I’m confused I’ll give brainlist it’s either a b c or d
Answer:
C.
Step-by-step explanation:
She needs 160 for a free ticket and get 85 for signing up.
Every time she goes, she get 12.5 points
160=85+12.5v
The answer would be C
Reason:
We eliminate B and D as they do not have a total of 160 points.
We are now left with A and C
A shows that she would need to earn 85 points three times which is incorrect as she receives 85 points 1 time after signing up. Therefore we eliminate A.
We are now left with C
C shows that the total amount of points she would need to earn a free ticket are 160 points.
It also shows that she would receive 85 points 1 time after signing up.
It also shows that the remaining points she would get are from strictly visiting the movie theater.
C is your answer
Plsss help me with this question!!!
Answer:
d 2.5
Step-by-step explanation:
|-2|-1/-2
2+1/2
2.5
Helpppppp me brainlest math
Answer:
what do you need help with?
Step-by-step explanation:
7/1 − 3 ( 7/3n − 7/2 )
Answer:
[tex]\frac{35}{2}[/tex] - [tex]7n[/tex]
Step-by-step explanation:
7/1 − 3( 7/3n − 7/2 )
Anything divided by one gives itself.
7 - 3 ( [tex]\frac{7}{3}n - \frac{7}{2}[/tex])
Use the distributive property to multiply −3 by [tex]\frac{7}{3}n - \frac{7}{2}[/tex])
7 - 3 × ([tex]\frac{7}{3}[/tex][tex]n[/tex] - 3 (-[tex]\frac{7}{2}[/tex])
Multiply −3 times [tex]\frac{7}{3}[/tex]
7 - 7n - 3 (-[tex]\frac{7}{2}[/tex])
Express -3 (-[tex]\frac{7}{2}[/tex]) as a single fraction.
7 - 7n + [tex]\frac{-3(-7)}{2}[/tex]
Multiply −3 and −7 to get 21.
7 - 7n + [tex]\frac{21}{2}[/tex]
Convert 7 to fraction [tex]\frac{14}{2}[/tex]
[tex]\frac{14}{2}[/tex] - 7n + [tex]\frac{21}{2}[/tex]
Since [tex]\frac{14}{2}[/tex] and [tex]\frac{21}{2}[/tex] have the same denominator, add them by adding their numerators.
[tex]\frac{14 + 21}{2} - 7n[/tex]
Add 14 and 21 to get 35.
[tex]\frac{35}{2} - 7n[/tex]
100 POINTS & BRAINLIEST!!
Answer:
b
Step-by-step explanation:
Total hours for biweek or 2 weeks
2(20)40hoursHourly pay=$18.25
Total home pay
18.25(40)$730Atleast $255 per week you can easily acquire 1000 also by toil
ratio x : y is 3: 1
Which of the following statements is correct?
A x 3/4 of y
B y is 1/3 of x
C x is 1/3 of y
D y is 1/4 of x
Answer:
D
Step-by-step explanation:
1+3=4
1 out of 4 =1/4
remember x is bigger than y
11 3 ×3 4 1 =
Help please
Answer:
Exact Form:
77/ 3
Decimal Form:
25.6
Mixed Number Form:
25 2/3
Step-by-step explanation:
the thing is 11/3 times 3 4/1
I JUST NEED TO KNOW THE EXPRESSION I WILL GIVE BRAINLIESTJackson purchased a pack of game cards that was on sale for 22% off. The sales tax in his county is 6%. Let y represent the original price of the cards. Write an expression that can be used to determine the final cost of the cards.
Answer:
y-0.22%=x+0.06%
Step-by-step explanation:
What is m∠JNM? Line J L and line M K slightly inclined with horizontal intersects at N. The upward and downward angles of the intersecting lines are obtuse. The left and right angles of the intersecting lines are acute. The measure of angle J N M is labeled as left parenthesis 4 x plus 6 right parenthesis degrees. The measure of angle L N K is labeled as left parenthesis 7 x minus 21 right parenthesis degrees.
Answer:
JNM=42
Step-by-step explanation:
JNM is equal to LNK so you can set the equations equal to each other.
7x-21=4x+6, subtract 4x from both sides
3x-21=6, add 21 to both sides
3x=27, divide by 3
x=9, then you plug it into an equation
4 times 9 + 6
36+6
42
<JNM = [tex]42[/tex] degrees.
What is horizontal angle?The angle made by two ground lines is measured horizontally , and is called a horizontal angle.
According to the question
Line J L and line M K slightly inclined with horizontal intersects at N.
<JNM = <LNK
[tex]4x + 6 = 7x - 21[/tex]
Subtract 4x from both sides
[tex]6 = 3x -21[/tex]
[tex]3x=27[/tex]
Divide by 3
[tex]x=\frac{27}{3}[/tex]
[tex]x =9[/tex]
<JNM = [tex]4x+6[/tex]
<JNM = [tex]4(9)+6[/tex]
<JNM = [tex]42[/tex] degrees
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please answer!! WILL GIVE A BRAINLIEST AND THANKS!
Answer:
2) Lyn has 42, and Jo has 21
4) 320 women
6) 12 miles
Step-by-step explanation:
2) Divide 63 by 3 and get 21. 21 + 21 = 42 for Lyn, and leave 21 for Jo.
4) Subtract 20 from 620, and get 600. Divide 600 into 2 and get 300. 300 +20 = 320
6) Divide 24 into 2, and get 12. Multiply 12 by 3 and get 36. Divide 36 by 3 and get 12. 12 is your answer.
Hope this helps!
-kiniwih426
What is the slope of the line that passes through the points (−10,0) and (-13, 3) ? Write your answer in simplest form.
Answer:
A slope of -1
Step-by-step explanation:
use the slope formula
1.) Keisha's kitchen is shaped like a square. The room has an area of 256 feet squared. Which is the length of one side of Keisha's kitchen?
Also the attachment, and is it rational or irrational?
Answer:
1. 16 ft
[tex]\sf 2.\quad \dfrac{29}{99}[/tex]
Step-by-step explanation:
Question 1Formula
Area of a square = s² (where s is the side length)
Given:
Area = 256 ft²Substitute the given area into the formula and solve for s:
[tex]\sf \implies 256=s^2[/tex]
[tex]\sf \implies \sqrt{256}=\sqrt{s^2}[/tex]
[tex]\sf \implies s=\pm 16[/tex]
As distance is positive, the length of one side of Keisha's kitchen is 16 ft.
Question 2Converting a recurring decimal to a fraction
Let x equal the recurring decimal:
[tex]\implies \sf x=0.292929...[/tex]
Create another number with recurring 29s by multiplying the above by 100:
[tex]\implies \sf 100x=29.292929...[/tex]
To solve these two equations and write x as a fraction, subtract the first equation from the second to remove all the recurring digits after the decimal point:
[tex]\begin{array}{r r c l}& \sf 100x &= &\sf 29.292929...\\- & \sf x&=& \sf \phantom{..}0.292929...\\\cline{1-4} & \sf 99x&=& \sf29\\\cline{1-4}\end{array}[/tex]
Therefore:
[tex]\implies \sf 99x=29[/tex]
[tex]\implies \sf x=\dfrac{29}{99}[/tex]
Therefore:
[tex]\sf \implies 0.\overline{29}=\dfrac{29}{99}[/tex]
Learn more about converting recurring decimals to fractions here:
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Helpppppp omggg I’m gonna fail
Answer:
D.
Step-by-step explanation:
what is 1760 rounded to the nearest hundred
Answer:
1800
Step-by-step explanation: