A) The rational equation that represents the given situation in the question is; (21 + x) = 0.9(25 + x)
B) Solving the equation gives the number of points needed to bring his average to 90% as; 15 points
We are told that he earned a total of 21 out of 25 possible points.
A) Now, if he has a perfect score on the next several quizzes, it means the number of points which we will call x that he needs to bring his average up to 90% is calculated from the rational equation;
(21 + x)/(25 + x) = 90%
⇒ (21 + x)/(25 + x) = 0.9
⇒ (21 + x) = 0.9(25 + x)
B) To find the number of points, let us solve the equation in A above to get;
(21 + x) = 0.9(25 + x)
Using distributive property on the right hand side, we have;
21 + x = 0.9(25) + 0.9x
21 + x = 22.5 + 0.9x
Using subtraction property of equality;
x - 0.9x = 22.5 - 21
0.1x = 1.5
x = 1.5/0.1
x = 15 points
Read more at; https://brainly.com/question/12223525
What is would be perpendicular to the equation y=4x+1
(1/4)^2 / (-5/9)
PLASE SHOW WORK!!! :)
A two digit number is such that the one's digit is four more than the tens digit and the sum of the digits is 14. find the number??
Answer:
Wyzant
SOLVE IT
Chi Y. asked • 07/27/18
The sum of the digits of a 2-digit number is 14. If it’s digit are reversed, the original number is increased by 18. What is the number?
There is no format. I just the answer ASAP.
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Andy C. answered • 07/27/18
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Here is the algebraic solution:
T is the tens digit
O is the ones digit
T+O = 14
So O = 14 - T <---- this is the first equation
The original number is 10*T + O
If the digits are reversed the original number is increased by 18.
The number if the digits are reversed is:
10*O + T = 10*T + O + 18
10*(14-T) + T = 10*T + (14-T) + 18 <--- substitutes O with 14-T per first equation above in bold
140 - 10T + T = 10T + 14 - T + 18 <--- distributive left side
140 - 9T = 9T + 32
140 = 9T + 9T + 32
140 - 32 = 9T + 9T
108 = 18T
108/18 = T
T= 6
THe tens digit is 6.
The ones digit must be 8.
Reversing 86 - 68 = 18
The original number is 68.
Samuel's sister is 39. She is 6 years older than Samuel's age tripled. How old is Samuel?
Answer:
11
Step-by-step explanation:
39-6=33
33/3=11
Answer:
Samuel is 11 years old.
Step-by-step explanation:
x=(39-6)/3
39-6=33
33/3=11
x=11
PLS HELP ILL GIVE BRAINLIEST
Kim's age is twice that of her sister. When you add Kim's age to her sister's age, you get 30. How old is each sister?
(a) Write an equation that represents the situation. Explain any variable used.
(b) Solve the equation from Part (a). Show your work. State your solution as a complete sentence.
Answer:
Kim's age is twice of that of her sister. We'll let k2 = Kim and k = Kim's sister.
So, k2. When you add Kim's age to her sister age you get 30.
Because Kim is twice the age of her sister k2. And because it said 'add' then we put a + sign. k2 + s = 30. Now let's solve it.
k2 + k = 30 < Given
3k = 30 < Combine like terms
k = 10 < Divide both sides by 3
We know Kim's sister is 10 y/o but what about Kim herself? Earlier we assigned Kim to k2. Substitute 10 for k and you get 10(2) = 20
Kim's sister is 10 y/o and Kim is 20 y/o
Step-by-step explanation:
Find f(3) for
f(x) = 2x-1
Answer:
f(x) = 2x-1
f(3) = 2(3)-1
3f = 6-1
3f = 5
Given: YLF FRY, RFY LFY
Prove: FRY FLY
Nothing
[tex]\huge\mathsf\colorbox{white}{}[/tex]
what does this mean help
Answer:
where is the question????
8th-grade need help asap
Answer:
A. x ≤ -2
Hope this helps!
[tex] - 2(5x + 3) \geqslant 14[/tex]
Divide both sides by -2
[tex] \frac{ - 2(5x + 3)}{ - 2} \leqslant \frac{14}{ - 2} \\ [/tex]
[tex]5x + 3 \leqslant - 7[/tex]
Subtract both sides 3
[tex]5x + 3 - 3 \leqslant - 7 - 3[/tex]
[tex]5x \leqslant - 10[/tex]
Divide both sides by 5
[tex] \frac{5x}{5} \leqslant \frac{ - 10}{5} \\ [/tex]
[tex]x \leqslant - 2[/tex]
write an equivalent fraction for 3/7 and 1/3 using 21 as the common denominate
Answer:
9/21 for 3/7 and 7/21 for 1/3
Step-by-step explanation:
Write out the fraction and then find out what you have to multiply the number in the denominator by in the first fraction to get the second. After you multiply the denominator then multiply the same number to the numerator.
Find the Domain to this to be brainlest
Answer:
Its the x of the (X,Y)
Step-by-step explanation:
(X^3 - 1/2x^2 + x) + (x^2 - x/4 - 5)
I need help figure if this out
Answer:
[tex]x^3+\frac{-x^2-x}{4}+x+x^2-5[/tex]
Step-by-step explanation:
[tex](x^3-(\frac{x}{2})^2 +x) + (x^2-\frac{x}{4} -5)[/tex]
The addition sign between the sets of parentheses means to add the two equations together by combining like terms
There is only one term raised to the 3rd power so that remains the same.
Next you have -1/2x ^2 + x ^2 = 1/2x ^2
Then x + -x/4 = 3/4x
And -5 is the only term with no variable so that remains the same.
Now combine into one line:
X ^3 +1/2x^2 + 3/4x -5
Question
A large male giraffe needs to eat at least 75 pounds of food each day. At each feeding, the giraffe is fed 3 pounds of food. The giraffe has already consumed 24 pounds of food. How many more times x does the giraffe need to be fed? Write your answer as an inequality.
Answer:
How many more times x does the giraffe need to be fed?
a) 17 times
Write your answer as an inequality
Let x represent the number of feedings left.
1/3(75 - 24) ≤ x
= (25 - 8) ≤ x
= 17 ≤ x
Step-by-step explanation:
A large male giraffe needs to eat at least 75 pounds of food each day.
At each feeding, the giraffe is fed 3 pounds of food.
Hence,
3 pounds of food = 1 feeding
75 pounds of food =
= 75/3
= 25 feedings.
That means in a day, the giraffe is fed 25 times.
The giraffe has already consumed 24 pounds of food. How many more times x does the giraffe need to be fed?
3pounds of food = 1 feeding
24 pounds of food =
Cross Multiply
= 24/3
= 8 feedings.
From the calculation here, the cloth has already fed the giraffe 8 times
Hence,
= 25feedings - 8 feedings
= 17 Feedings left.
Hence, the giraffe has 17 Feedings left to go.
Write your answer as an inequality
Let x represent the number of feedings left.
1/3(75 - 24) ≤ x
= (25 - 8) ≤ x
= 17 ≤ x
Step-by-step explanation:
I’m stuck help would be nice
Answer:
x = 30
Both angles equal 80
Step-by-step explanation:
3x-10=2x+20
3(30)-10 = 80
2(30)+20 = 80
I hope this helps!!
PLEASE HELP I WILL GIVE BRAINLIEST TO BEST ANSWER WTH STEP BY STEP DIRECTIONS!!!
For n = 2d² - 5 when d = -2, what does n equal?
Answer:
n=3 (there's no way I can explain this I can only give you the answer)
Step-by-step explanation:
a survey of 80 people in the grocery store showed that 24 people were buying frozen pizza for dinner. what percent of the people surveyed were buying pizza for dinner ? percent is out of 100
Answer:
zxcvbnm,.;lkjhg
Step-by-step explanation:
defghjkilo;p'
Can anyone help me ASAP!
Answer:
true
Step-by-step explanation:
Make me brainliest
Part III: The number √21 is a(n) __________ number because __________. (2 points)
Answer:
Step-by-step explanation:
Irrational number
It is a radical.
-15 = 3 + j equation
Answer:
J= -18
Step-by-step explanation:
Solve for j by simplifying both sides of the equation, then isolating the variable
for a brainly solve these 2
Answer:
1) m= 2, b = 4
2) m= -2 /3 , b = -2
Paul works at a local grocery store. He worked 15 hours this week. Last week he worked 2.5 times as many hours as he worked this week. How many hours did Paul work last week?
Answer:
37.5 hours
Step-by-step explanation:
15 x2.5 = 37.5
If a squirrel gets run over by a car, what needs to happen for it to become a fossil?
Fossilization (the process of turning something into a fossil) requires heat, pressure, and time to be performed. In this case, the creature must be quickly buried and taken away from oxygen in order for the whole body to fossilize.
4 1/2*3 what dose it equal
Answer:
18/2
Step-by-step explanation:
First you need to convert the improper fraction then multiply the 4 by 2 and add 1 to it then it would be 9/2 and the whole number that is 3 you put it in a fraction then it would be 3/1 and then you multiply 9 by 3 and 2 by 1 and would be 2/18
Which equation represents a line which is perpendicular to the line
6
x
+
7
y
=
−
42
6x+7y=−42?
Answer:
Mark me as brainlist
Step-by-step explanation:
the equation is : y = ax+b
the slope is a : a×(2/7) = -1......( perpendicular to a line with a slope of 2/7) because : 2x-7y =-42...y=(2/7)x+6 )
a = -7/2 y=(-7/2)x+b
the line that passes through (6, -3) :- 3 = (-7/2)(6)+b
b =18
the equation is : y = (-7/2)x+18
Help, help, again, again, again! :(
(will give brainliest, and 15 points)
Answer: Simplify each side
combine like terms
[tex](\frac{5}{3} r+-r)+(\frac{1}{3} )=2r\\\frac{2}{3} r+\frac{1}{3}=2r \\subtract 2r from each side\\\frac{-4}{3} r+\frac{1}{3}=0 \\subtract 1/3 from each side\\\frac{-4}{3} r=\frac{-1}{3} \\multiply each side by 3/(-4)\\r=1/4(Answer) \\sorry for the wait Brainly pls[/tex]
Step-by-step explanation:
You decide to purchase a monthly subscription to Netflix. After 2 months, you have $350 in your bank
account. After 6 months, you have $314 in your bank account.
Answer:
Netflix costs 9 dollars a month
Step-by-step explanation:
the difference in balance between 2 months and 6 moths is 36 dollars. That is a 4 month period. 36/4=9
David runs 4 miles in 30 minutes. At the same rate , how many miles would he run in 48 minu
Answer:
6.4 miles
Step-by-step explanation:
Finding the slope I know how find it a little bit but still need help with it
Answer:
how
Step-by-step explanation:
I help you plsjjsjzjxhxbx
Find the slope of the line.
PLEASE SOMEONE ANSWER THIS EQUATION FOR ME I NEED HELP ON THIS!!!!worth 20 points i will mark you brainliest
Answer:
2/3
Step-by-step explanation:
The slope of the line can be calculated by dividing the vertical distance (rise) by the horizontal distance (run) between the two points.
The first point has coordinates (-1,0), and the second point has coordinates (2,2).
The rise is 2-0=2, and the run is 2-(-1)=3. Therefore, the slope is 2/3.
A circle has a diameter of 18 yd. What is its circumference?
Use 3.14 for , and do not round your answer. Be sure to include the correct unit in your answer.
Answer:
the circumstance is 56.55
