A chemical company mixes pure water with their premium antifreeze solution to create an inexpensive antifreeze mixture. The premium antifreeze solution contains 95% pure antifreeze. The company wants to obtain 285 gallons of a mixture that contains 55% pure antifreeze. How many gallons of water and how many gallons of the premium antifreeze solution must be mixed?
Answer:
premium: 165 gallonswater: 120 gallonsStep-by-step explanation:
Let 'a' represent the amount of 95% antifreeze in the mix. Then the amount of water is (285 -a). The mix has this amount of antifreeze in it:
0.95a +0(285 -a) = 0.55(285)
a = 0.55/0.95(285) = 165 . . . gallons of 95%
285 -a = 285 -165 = 120 . . . . gallons of water
There are 120 gallons of water and 165 gallons of premium antifreeze in the mixture.
2. Select all of the trips that would take 4 hours. a. Drive 40 miles per hour between Gotham City and Smallville, which are 160 miles apart. Take a plane going 900 kilometers per hour from Town A to Town Z. which are 3,600 kilometers apart. c Walk 3.2 miles per hour to the grocery store, which is 8 miles away.
Answer:
i think the answer is 50 if not im sorry if there is another go for that one.
Step-by-step explanation:
Twice a number diminished by seven
A) 7x - 2
B) 2x + 7
C)2x - 7
D) 7x + 2
PLZ HELP IM NOT SURE WITH MY ANSWER π-π
Answer:
2x-7
Step-by-step explanation:
let the no be X
twice the no =2X
diminished by 7= 2X-7
Answer:
C)2x - 7..................
As long as he's hired by someone, roughly how much can James earn in a month from his part-time job? Assume that his net pay is $8/hour and assume 4.5 weeks
Answer:
36
Step-by-step explanation:
8 * 4.5 = 36
James will earn 252 dollars if he work in a month from his part-time job. when his per hour pay is 8 dollars and assuming 4.5 weeks.
What is net earnings of James?
Whenever an employee work for a company he recieves a salary for his work now james is working as a part-time employee so he is getting 8 dollars for per hour working.
Suppose james is working one hour every day as a part timer so his income in one month or in 4.5 weeks will be
[tex]\rm James\ income =8\times 4.5\times 7[/tex]
[tex]\rm James\ Income= 252[/tex]
Hence James will earn 252 dollars if he work in a month from his part-time job. when his per hour pay is 8 dollars and assuming 4.5 weeks.
To know more about income follow
https://brainly.com/question/25745683
It costs $22 to enter an amusement park and $0.50 to ride a ride. You have $23. Write an equation that represents the number r of rides you can ride.
Answer:
21.50 + 0.25r = 22.25
Step-by-step explanation:
Thats ur equationnn
A triangle has an area of 160 square inches and the base of the triangle is 40 inches. What is the height of the triangle?
Answer:
8 inches
Step-by-step explanation:
h = 2 A/b
A = 160
b = 40
160/40 = 4
2 x 4 = 8 inches
The height of the triangles is 8in.
hope this helps!! p.s. i really need brainliest :)
Mary is a lawyer who has an annual salary of $ 147,362. She has to pay
state income tax of 8%. What is the amount that Mary pays in state
income tax?
A $ 12,365.96
B) $ 11,788.92
C)$ 11,788.96
D $ 12,365.92
Answer:
3
Step-by-step explanation:
To calculate the amount that Mary pays in state income tax, we need to find 8% of her annual salary.
Given that Mary's annual salary is $147,362, we can calculate the state income tax as follows:
State Income Tax = (8/100) * Annual Salary
State Income Tax = (8/100) * $147,362
State Income Tax = $11,788.96
Therefore, Mary pays $11,788.96 in state income tax.
The correct answer is C) $11,788.96.
[tex]\huge{\mathcal{\colorbox{black}{\textcolor{lime}{\textsf{I hope this helps !}}}}}[/tex]
♥️ [tex]\large{\textcolor{red}{\underline{\texttt{SUMIT ROY (:}}}}[/tex]
Please help! This is due in 25 minutes!! Will give brainliest, 5 star rating, 10 points, and a thanks!!!!
Answer:
333
666
Step-by-step explanation:
333 / 9 = 37
666 / 9 = 74
yeah-ya...... right?
Answer:
333
Step-by-step explanation:
we see that all three digits are the same so heres a list of numbers it could be 222 333 444 555 666 777 and we know that numbers divisible by nine mean all the digits added up have to be divisible by nine and we can see that 333 equals 9 when the digits are added together so this is the answer.
What dp they mean 2 to the fourth equal 16.
Answer:
See Below
Step-by-step explanation:
I think you mean 2 the the fourth power, showing 2, with an exponent of 4.
To calculate this, you multiply your base, 2, by itself as many times as the exponent states. Like, 2x2x2x2 because you are multiplying it 4 times by 2.
2x2=4, then 4x2=8, then 8x2= 16.
Hope this helps!
HELP 35 POINTS
State the domain and range to each of these functions and determine function or not.
Answer:
see below
Step-by-step explanation:
2.x<1, y=all real numbers
3. -1<=x<=3 -3<=y<=2
4. x= all real numbers, y>-2
5. 7<=x<5, 3<=y<1
6.x>-4, y>-1
Zane calculated the missing side length of one of these triangles using the pythagorean theorem. Which triangle is it? a b c d.
Answer:
d
Step-by-step explanation:
What is the greatest common factor of 18, 6, and 36?
Answer:
18 is the greatest common factor between those
Answer:
There are 6 common factors of 18 and 36, that are 1, 2, 3, 6, 9, and 18. Therefore, the greatest common factor of 18 and 36 is 18.
Step-by-step explanation:
In total there are 53,444 adults at a football match there are 4300 more women then men at the match how many men are at the match
Answer:
There are 24,572 men.
Step-by-step explanation:
Let men = m, let women = w.
m + w = 53,444
w = 4300 + m
m + (4300 + m) = 53,444
m + m + 4300 = 53,444
2m + 4300 = 53,444
2m = 53,444 - 4300
2m = 49144
m = 49144/2
m = 24,572
HURRY I NEED IT FOR 3rd GRADE MATH
Whats 73 + 82
Answer:
155
Step-by-step explanation:
Answer: 155
Step-by-step explanation:
73
+82
155
solve for q
q/-2+17=13
q=
Answer:
q = 8
Step-by-step explanation:
-q/2 + 17 = 13
subtract 17 from each side to get:
-q/2 = -4
to isolate the 'q', multiply each side by -2 to get:
q = 8
Determine if the point is a solution to the system of linear equations [tex] \huge \{{ \large \begin{array}{} 2x + 3y = 2 \\ 6y = 5 - 4x \end{array}} [/tex]
Answer:
The system has no solutions.
Step-by-step explanation:
If you stare at it for the bit you can tell the system is impossible. Let's see why:
First of all, rewrite the second equation by bringing all unknowns on the LHS:
[tex]4x+6y=5[/tex].
Then take twice the first equation, doubling every coefficient:
[tex]4x+6y=4[/tex] See how the LHS is the same? The system is asking you to find a quantity (4x+6y) which is at the same time equal to four AND five - emphasis on that "and" - which is obviously impossible, because it implies that 4=5. So the point - which you didn't provide - is not a solution. Nor is any other point.
When air is pumped into an automobile
tire, the pressure is inversely proportional to
the volume. If the pressure is 35 pounds
when the volume is 120 cubic inches, what
is the pressure when the volume is 140
cubic inches?
Answer:
I think it is 68.5714285714 cubic inches
Step-by-step explanation:
35 is 25% of what percent
Answer:
140
Step-by-step explanation:
35 ÷25%
35 ÷ 25/100
140
ok I am a little confused here but I think I may know what your asking.
What is 25% of 35? or you could be asking 35 is 25% of what number?
I'll answer both just in case.
What is 25% of 35?: 35 ÷ 4 = 8.75%
35 is 25% of what number?: 35 x 4 = 140
help me pls. will mark brainliest
Answer:
(1,1) and (2,2)
Step-by-step explanation:
you have to locate points that will overlap with both shaded area
Harry is paying for a meal with groups of friends. They received great service, so he is giving a $20% tip. The meal came to $225.10 before sales tax. How much will he leave as a tip?
Answer:
$45.02
Step-by-step explanation:
The tip here is being figured on the bill before tax. It is the product of the bill amount and the tip rate:
$225.10 × 20% = $45.02
Harry will leave $45.02 as a tip.
Clarke earns
2.5
%
interest a savings account each year. If Clarke deposits
$
2
,
000.00
into a savings account, how much interest will Clarke earn during the first year?
Answer:
$ 50.00
Step-by-step explanation:
Hope this helps!
On what interval is the function increasing.
What’s the answer to this plssss??
Answer:
2c²
Step-by-step explanation:
8c³d² / 4cd²
= 2 * c²
= 2c²
14.
Jan spent 3 hours doing homework last week.
She spent 5 hours doing homework this week.
How many more hours did Jan spend on homework
this week than last week?
A. 1 hour
B. 1 hour
D. 11 hours
C. 14 hours
Answer:
D. [tex]\mathrm{1\frac{1}{2}\:hours}[/tex]
Step-by-step explanation:
As it asks how many more, it means plus, plus means addition. So, let find the difference between the two fractions.
This week should be at first, and last week should be after the minus sign.
[tex]5\frac{1}{4} - 3\frac{3}{4}[/tex]
[tex]\mathrm{Convert\:mixed\:numbers\:to\:improper\:fraction}[/tex]
[tex]5\frac{1}{4} = 4\times5=20+1=21\\\\\frac{21}{4} \\\\3\frac{3}{4} = 4\times3=12+3=15\\\\\frac{15}{4}[/tex]
[tex]\frac{21}{4} - \frac{15}{4}[/tex]
[tex]\mathrm{Subtract\: the\: numerators,\: not \:the \:denominators.}[/tex]
[tex]\frac{21}{4} - \frac{15}{4}\\\\21-15=6[/tex]
[tex]\frac{6}{4} \\\\\mathrm{\underline{Simplify:}}\: \bold{1\frac{1}{2}}[/tex]
I'm not exactly sure how to do this. I know how you would graph it but I don't know the transformation.
Answer:
Its D.
Step-by-step explanation:
The 3 as the exponent makes it cubic and since the x+1 is in parenthesis you would move it 1 unit to the left
Find the lowest common multiple (LCM) of 18 and 21.
LMC (18,21) = 126
ok done. Thank to me :>
ΔABC is an isosceles triangle with AB = AC, D is the midpoint of BC and AD is joined. Prove that ΔABD ≅ ΔACD
Answer:
ΔABD ≅ ΔACD
Step-by-step explanation: I took the quiz
CAN SOMEONE HELP ME PLEASE ASAP!
Answer:
15lb
Step-by-step explanation:
1lb=453.59
Identify whether the following expression is a polynomial. If it is, identify the type according to the number of terms.
6x^2 + x + 1
Answer:
The expression is a polynomial.
Trinomial (according to the number of terms)
Step-by-step explanation:
Given the algebraic expression, 6x² + x + 1:
A term comprises of a product of numerical coefficient and one of more variables raised to powers. Like terms have the same variables and exponents.
While a polynomial is a term (or finite sum of terms), comprising of variables with positive or zero integer exponents. Strictly defined, the terms within a polynomial expression cannot include variables as a denominator.
A monomial is a single-termed polynomial.
A binomial is a polynomial with two terms.
A trinomial is a polynomial that has exactly three terms.
With these given definitions, we can infer that the given polynomial expression, 6x² + x + 1, is a trinomial, given that it has three terms:
6x² is the leading term with the highest degree or exponent. Specifically, the name of this term is quadratic, given its exponent of 2. x is a linear term, given its exponent of 1. 1 is a constant term.Therefore, the given expression is a polynomial containing three terms, making it a trinomial.
A relationship between x and y is defined by the equation − 5 x + 3 y = 12 , where x is the input and y is the output. Indicate whether each of these statements about the relationship is true or false by selecting a box in each row. Statement True False y is a function of x . The graph of the relationship is a line. The graph of the relationship passes through the origin. When the input is 6, the output is 14.
Answer:
Step-by-step explanation:
y is a function of x . TRUE
The graph of the relationship is a line. TRUE
The graph of the relationship passes through the origin. - it in standard form, when you plugin 0 for x or y, you get the other intersect( x-intercept: (12/-5,0) y-intercept: (0,4)) so it dosent go throught the origin. FALSE
When the input is 6, the output is 14. TRUE
-5(6)+3(14)=12
-30+42=12
12=12
Answer:
y is a function-TRUE
The graph of the relationship is a line-TRUE
The graph of the relationship passes through the origin-FALSE
When the input is 6, the output is 14-TRUE
