Answer:
Second test=88
Third test=89 Hope this helps please mark brainliest it helps a lot! Thanks!
Step-by-step explanation:
According to the question, here we got to know that John scored 72 points in the first test
In the second he scored higher than the 1st test
In the third he scored 1 mark more than the second test
His average in the three tests was 83
So,
Let's the marks scored in the 2nd test be x
Hence, in the third test he got x + 1
Average is 83
[tex] \frak{Average = \frac{{1}^{st} \: test + {2}^{nd} \: test + {3}^{rd} \: test }{3} } \\ \\ \dashrightarrow \frak{83 = \frac{72 + x + x + 1}{3}} \\ \\ \dashrightarrow \frak{83 = \frac{73 + 2x}{3}} \\ \\ \dashrightarrow \frak{249 = 73 + 2x } \\ \\ \dashrightarrow \frak{249 - 73 = 2x} \\ \\ \dashrightarrow \frak{249 = 73 + 2x } \\ \\ \dashrightarrow \frak{x = \frac{176}{2} } \\ \\ \dashrightarrow \frak{249 = 73 + 2x } \\ \\ \dashrightarrow \frak{249 - 73 = 2x} \\ \\ \dashrightarrow \frak{249 = 73 + 2x } \\ \\ \star \qquad \boxed{ \green{\frak{x = 88}}} \\ \\ \sf{ \underline{{2}^{nd} \: test }} : \\ \\ \boxed{ \red{88}} \\ \\ \sf{ \underline{{3}^{rd} \: test }} : \\ \\ \rightarrow x + 1 \\ \\ \rightarrow 88 + 1 \\ \\ \boxed{ \red{ 89 }}[/tex]
What is the sum of all positive integers n ≤ 20 that satisfy the condition that if n is odd, then n is a multiple of 5? I will give brainliest for the correct answer AND explanation (It is not 20)
The sum of all positive integers that satisfy the condition as described is; 100
The number set of n is therefore;
n = {1, 2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20}.
According to the question;
If n is odd, then n is a multiple of 5.The data set therefore includes all odd numbers; This is so because the question says; if n is odd; then n is a multiple of 5.
The sum of all positive integers that satisfy the condition is therefore;
1 + 3 +5 +7 + 9 +11 +13 +15 +17 +19 = 100.Read more:
https://brainly.com/question/18837188
I want to know what the letter a is , and how to do it.1/3 + a 5/4
STEP
1
:
5
Simplify —
4
Equation at the end of step
1
:
1 5
(— + a) - — = 0
3 4
STEP
2
:
1
Simplify —
3
Equation at the end of step
2
:
1 5
(— + a) - — = 0
3 4
STEP
3
:
Rewriting the whole as an Equivalent Fraction
3.1 Adding a whole to a fraction
Rewrite the whole as a fraction using 3 as the denominator :
a a • 3
a = — = —————
1 3
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
3.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
1 + a • 3 3a + 1
————————— = ——————
3 3
Equation at the end of step
3
:
(3a + 1) 5
———————— - — = 0
3 4
STEP
4
:
Calculating the Least Common Multiple :
4.1 Find the Least Common Multiple
The left denominator is : 3
The right denominator is : 4
Number of times each prime factor
appears in the factorization of:
Prime
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
3 1 0 1
2 0 2 2
Product of all
Prime Factors 3 4 12
Least Common Multiple:
12
Calculating Multipliers :
4.2 Calculate multipliers for the two fractions
Denote the Least Common Multiple by L.C.M
Denote the Left Multiplier by Left_M
Denote the Right Multiplier by Right_M
Denote the Left Deniminator by L_Deno
Denote the Right Multiplier by R_Deno
Left_M = L.C.M / L_Deno = 4
Right_M = L.C.M / R_Deno = 3
Making Equivalent Fractions :
4.3 Rewrite the two fractions into equivalent fractions
Two fractions are called equivalent if they have the same numeric value.
For example : 1/2 and 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are equivalent as well.
To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.
L. Mult. • L. Num. (3a+1) • 4
—————————————————— = ——————————
L.C.M 12
R. Mult. • R. Num. 5 • 3
—————————————————— = —————
L.C.M 12
Adding fractions that have a common denominator :
4.4 Adding up the two equivalent fractions
(3a+1) • 4 - (5 • 3) 12a - 11
———————————————————— = ————————
12 12
Equation at the end of step
4
:
12a - 11
———————— = 0
12
STEP
5
:
When a fraction equals zero :
5.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
12a-11
—————— • 12 = 0 • 12
12
Now, on the left hand side, the 12 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
12a-11 = 0
Solving a Single Variable Equation:
5.2 Solve : 12a-11 = 0
Add 11 to both sides of the equation :
12a = 11
Divide both sides of the equation by 12:
a = 11/12 = 0.917
a = 11/12 = 0.917
Answer:
11/12
Step-by-step explanation:
You want to subtract 5/4 minus 1/3 but you cant so you have to find the greatest denominator first which would be 12 because 3x4=12.
Since you multiplied 4x 3 to get 12 then you will multiply the 5 by 3 and the 1 by 4 to get this -> 5/4= 15/12 1/3= 4/12
Then subtract 15/12- 4/12= 11/12
a=11/12
Evaluate 11/6 - 2/8=
Answer:
19/12
Step-by-step explanation:
How to expand
5(2m)^3
Historically, 48% of people have rented their residence. A random sample of 500 people is taken. 260 of them rent (as oppose to own) their residence. A researcher is studying the claim that the percentage of people renting has increased. Compute the value of the test statistic for this hypothesis test. Round your answer to 2 decimal places.
Answer:
1.79
Step-by-step explanation:
^p = x/n
= 260/500
= 0.52
z = p1-p2 / √^p(1-p)/n
= 0.52 - 0.48 / √0.48x(1-0.48)/500
= 1.79
What is 162 multiplied by 0.967
The answer would be 156.654
Answer:
Remove the decimals and multiply normally.
162 x 967
156654
Put back in the decimals. In this case, move the decimal point back three spaces from the end.
156.654
:)
Help I’ll mark you brainlist
Answer:
24.0
Step-by-step explanation:
do 34sin(45) to solve for x
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y=23(0.292)^x
what is the % increase
Answer:
Decay
since 0.292 is less than 1
% rate of decrease
1 - 0.292 = 0.708
70.8%
3. Because it is so popular, a store owner increases the cost of a toy by $3.49. The new cost of the toy is $9.84.
(a) Write an equation that represents the situation. Use c to represent the original cost of the toy.
(b) Solve the equation using a related equation. Show your work.
(c) What does the solution of the equation represent? plz answer
a) 3.49+c=9.84 (b) 9.84-3.49=6.35 (c) he increased the original price of the toy by adding $6.35
Answer:
a) 3.49+c=9.84 (b) 9.84-3.49=6.35 (c) he increased the original price of the toy by adding $6.35. Just like jpforpresident146788 said.
2-2 this is a freebie for points guys
Answer:
2-2=0
Step-by-step explanation:
You have 2 cookies and you give it to 2 friends.
Answer:
0
Step-by-step explanation:
According to the Laws of Physics, yeah I don't wanna try explaining this
Which fraction converts to a repeating decimal number?
Answer:
1/3
Step-by-step explanation:
A department store marked down all of its summer clothing 23%. The following week the remaining items were marked down again
15% off the sale price. When Jorge bought two tank tops on sale, he presented a coupon that gave him an additional 20% off. What
percent of the original price did Jorge save?
Answer:
58%
Step-by-step explanation:
PLEASE HELP!!
Guys please help i need this
Answer:
Because they are both base angles of isosceles triangles
WILL GIVE BRAINLEST! HELP ME ASAP
These tables of ordered pairs represent some points on the graphs of lines s and t.
Which system of equations is represented by lines s and t?
5x−2y=−157x+4y=20
3x+5y=−185x−9y=25
x+4y=−89x−y=21
2x−y=−142x+y=6
Answer:
Step-by-step explanation:
Line s
slope m = Δy / Δx = (22 - 4) / (4 - (-5)) = 18/9 = 2
y = mx + b
22 = 2(4) + b
b = 14
y = 2x + 14
which can be rearranged to
2x - y = -14
Line t
slope = ( -4 - 14) / (5 - (-4)) = -18/9 = -2
-4 = (-2)(5) + b
b = 6
y = -2x + 6
2x + y = 6
2x − y = −14 2x + y = 6
Can anyone help! Please!
Determine whether the inverse of F(x) is a function.
Answer:
Step-by-step explanation:
A function f(x) has an inverse, or is one-to-one, if and only if the graph y = f(x) passes the horizontal line test. A graph represents a one-to-one function if and only if it passes both the vertical and the horizontal line tests.
how to find the volume of an oven with the inside dimensions 3 ft by 1.5 ft by 3 ft
9514 1404 393
Answer:
13.5 ft³
Step-by-step explanation:
The volume of a cuboid is the product of its length, width, and height:
V = (3 ft)(1.5 ft)(3 ft) = 13.5 ft³
The volume of the oven is 13.5 ft³.
__
You may see this as the formula ...
V = LWH
what is the absolute value for 115 and 15
What is the difference between (2.4x10^8) and (9.2x10^6)
Answer:
2.308×10^8
Step-by-step explanation:
Your calculator can tell you what the difference is.
2.4×10^8 -9.2×10^6 = (2.4 -0.092)×10^8 = 2.308×10^8
_____
Additional comment
If this is a problem where you're expected to round the answer to an appropriate number of significant figures, you will notice the largest contributor has a resolution of 0.1×10^8. That will be the resolution required in the answer: 2.3×10^8.
There are 25 students in a class, 7 of them will be chosen to go on a field trip. How many ways can these students be chosen.
Answer:
Step-by-step explanation:
order is not important so
25 ways to fill the first spot
24 ways to fill the second
23 ways to fill the third
...
19 ways to fill the 7th
25•24•23•22•21•20•19 = 2,422,728,000
which also equals 25! / (25 - 7)!
How many tiles would be used to make figure five
2. Solve the equation and check.
8x-8= 7 + 3x
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
(1/2)power 5=?? please help
[tex] \frac{1}{2} \: to \: the \: power \: of \: 5 \: is \: \frac{1}{32} or \: 0.03125 [/tex]
Answer:
[tex] \ {\boxed{ \tt ( \frac{1}{2}) ^{5} = \frac{1}{32} }}[/tex]
Step-by-step explanation:
[tex] \\ \tt( \frac{1}{2} )^{5} [/tex]
[tex] \\ \tt= \frac{ {1}^{5} }{ {2}^{5} } [/tex]
[tex] \\ \tt = \frac{1 \times 1 \times 1 \times 1 \times 1}{2 \times 2 \times 2 \times 2 \times 2} [/tex]
[tex] \\ \tt = \frac{1}{32} [/tex]
You get brainist plz
Answer:
54
Step-by-step explanation:
54
Could you help me to solve this
Answer:
No, sorry about that, buddy, I cannot.
A cone with a radius of 3 feet and a height of 5 feet is placed on top of a cylinder as shown. Find the volume of the total figure in terms of pi
Answer:
5π
Step-by-step explanation:
v=1/3πrh
v=1/3×π×3×5=5π
The volume of the combined solid is given as 69π ft³.
What is a right circular cylinder?A right circular cylinder is a three dimensional figure having its base and top as a circle and the height is perpendicular to circular base. The volume is given as V = πr²h.
The volume of the combined solid is given as,
Volume of cone + Volume of cylinder
The expression can be written as,
1/3πr²h + πr²H
Where h and H are the heights of cone and cylinder respectively.
Plug r = 3, h = 5 and H = 6 to obtain as,
⇒ 1/3π × 3² × 5 + π × 3² × 6
⇒ 69π
Hence, the volume of the combined solid is obtained as 69π ft³.
To know more about cylinder click on,
brainly.com/question/16134180
#SPJ2
How have vaccines impacted health?
A: Vaccines have only made a little progress at preventing most diseases.
B: Vaccines are effective on some people but not others.
C: Large numbers of people have had allergic reactions to vaccines
D: Some diseases have almost completely disappeared
Answer:
D some disease have almost completely disappeared
Answer this please not links-
Answer:
I believe it's 9 hope this helps
Jessica's health insurance premium is $3964 annually. If her employer pays 85% and she is paid monthly, how much is deducted from each monthly check? O $22.88 O $49.55 O $330.33 O $594.60
Answer:
594.60
Step-by-step explanation:
basically you turn the percent into a decimal, so 0.85 times 3954. then you subtract 3964.00 and 3369.40 to get the answer <3
For all horizontal lines the range is
When you have a function where y equals a constant, your graph is a truly horizontal line,
In that case, the range is just that one and only value. No other possible values can come out of that function! Many other functions have limited ranges.
I'll give brainiest whoever answers first
aight slide it here big boy