a = amount that paid 11% profits
b = amount that lost 5% profits
we know that whatever those values are, a + b = 28000.
how much is 11% of "a"? well, (11/100) * a = 0.11a.
how much is 5% of "b"? well (5/100) * b = 0.05b.
[tex]a+b=28000\implies b=28000 - a \\\\[-0.35em] ~\dotfill\\\\ \stackrel{paid~11\%}{0.11a}~~ \stackrel{\stackrel{loss}{\downarrow }}{-} ~~\stackrel{lost~5\%}{0.05b}~~ = ~~\stackrel{overall~paid}{2920} \\\\\\ \stackrel{\textit{substituting on the 2nd equation}}{0.11a~~ - ~~0.05(28000-a)}=2920\implies 0.11a+0.05a-1400=2920 \\\\\\ 0.16a-1400=2920\implies 0.16a=4320\implies a=\cfrac{4320}{0.16} \\\\\\ \boxed{a=27000}~\hspace{10em}\boxed{\stackrel{28000-a}{b=1000}}[/tex]
Rewrite the improper fraction as a mixed number.
Answer:
8/3 would be 2 2/3 and 15/5 would be 3
Step-by-step explanation:
I wrote my answer and used a website to double check.
What is the correct answer NEED ANSWER ASAP
Answer:
12 burgers, 0 sub sandwiches or 7 burgers, 5 sandwiches
Step-by-step explanation
First, we need to form the equation. This will be 2.50x + 3.50y ≤ 30.
2.5x + 3.5y ≤ 30
Now I'll solve for x here, but you don't have to.
First I'll move 3.5y to the other side by subtracting that value from both sides.
2.5x ≤ -3.5y + 30
Next, divide by 2.5 to get just x on the left.
x ≤ -1.4y + 12
Now to substitute.
2.5(-1.4y + 12) + 3.5y ≤ 30
-3.5y + 30 + 3.5y ≤ 30
Wait a second...This creates... (canceling out -3.5y and 3.5y...)
30 ≤ 30
The two sides are the same! That means one solution has y being 0. 30/2.5 (as we already figured out) is 12. So one solution is (12, 0).
Solution 2 can be figured out with this. What is the LCM of 3.5 and 2.5? Here we really need to use 35 and 25.
First, to factorize.
25: 5 * 5
35: 5 * 7
A five in is common. So to get the LCM, we need to multiply 5 * 7 * 5 to get 175. However, since this is in TENTHS, it's actually 17.5 being the LCM between 3.5 and 2.5.
Since 7 * 2.5 = 17.5, as does 3.5 * 5, our other solution is (7, 5).
How many radians is 30°?
Answer:
That would be 0.523599 radians.
Step-by-step explanation:
This is the formula I used:
30° × π/180 = 0.5236rad
Radians - π6
Approx. radians - 0.524
6.
(04.01 LC)
Evaluate cube root of 5 multiplied by square root of 5 over cube root of 5 to the power of 5 . (5 points)
5 to the power of negative 5 over 6
5 to the power of 3 over 2
5 to the power of negative 1 over 6
5 to the power of 5 over 2
Answer:
A. 5 to the power of negative 5 over 6Step-by-step explanation:
[tex]\sqrt[3]{5} \sqrt{5} /\sqrt[3]{5^5} =[/tex][tex]5^{1/3+1/2-5/3}=[/tex][tex]5^{1/2-4/3}=[/tex][tex]5^{3/6-8/6}=[/tex][tex]5^{-5/6}[/tex]Set up and solve a system of equations to solve the problem.
A jar contains n nickels and d dimes. There are 26 coins in the jar, and the total value of the coins is $1.90. How many nickels and how many dimes are in the jar?
Answer:
14 Dimes and 12 Nickels
Step-by-step explanation:
So you want to make 2 equations like this:
n+d=26
0.05n+0.10d=2
Now, use substitution and get d=26-n
plug that into the next equation and get
0.05n+0.10(26-n)=2
Distribute and combine like terms
0.05n+2.6-0.10n=2
2.6-0.05n=2
subtract 2.6 from both sides and you get
-0.05n=-0.6
Solve for n by dividing and you get
12 nickels.
Now, plug that into the first equation and you get
12+d=26
d=14
The equation and table shows were two boys pay for gym fees compare the rate of change and initial value for each function
Alfredo month 0 1 2 3 Alex C=25+10m, where
Cost 20 30 40 50 C= cost in dollars and
M= number of months.
The equation is an illustration of a linear function
The rate of change is 10 and the initial value is 25
How to determine the rate of change and the initial valueThe equation is given as:
[tex]C = 25 + 10m[/tex]
A linear equation is represented as:
[tex]y = b + mx[/tex]
Where:
b represents the initial valuem represents the rateBy comparison:
b = 25
m = 10
Hence, the rate of change is 10 and the initial value is 25
Read more about linear functions at:
https://brainly.com/question/15602982
#20 #21
help would be great im struggling so hard
Answer:
20: is 34 degrees
21: is 34 degrees as well.
Step-by-step explanation:
Hope this helps! :)
What the inverse of this question
Answer is
f(x) inverse = (1/5x)^1/3 +4
When the binomial 27x2 - 300 is factored, the result is 3(3x – b)(3x + b). What is the value of b?
Answer:
The b-value is the middle number, the number next to the x. The other letters, a and c, are also numbers like b. Each of these can be any number. In combination, they tell you what the quadratic function will look like when graphed. Step-by-step explanation:
SOLVE & SHOW YOUR WORK !!!!
Answer:
x = 6
y = 5.5
Step-by-step explanation:
Since the shapes are similar:
A = E and
C = G
60+8x = 108 subtract 60 from both sides
8x = 48 divide both sides by 8
x = 6
8y - 3x = 62 we know x is 6
8y - 3*6 = 62
8y - 18 = 62 subtract 18 from both sides
8y = 44 divide both sides by 8
y = 5.5
Solve for x: 1/6(6x+12)+5x>26
Need help pls respond asap!
Answer:
[tex]n\sqrt{5}[/tex]Step-by-step explanation:
The length of the legs is n and 2n.
The hypotenuse is:
[tex]PQ = \sqrt{n^2+(2n)^2} =\sqrt{5n^2} =n\sqrt{5}[/tex]Answer:
Step-by-step explanation:
3
Substitute this simultaneous linear equation
[tex]3x {}^{ - 1} - {4y}^{ - 1} = 5 \\ {2x}^{ - 1} + {3y}^{ - 1} = 7[/tex]
Answer:
[tex] {3x}^{ - 1} - {4y}^{ - 1} = 5 \: ....(1) \\ \\ {2x}^{ - 1} + {3y}^{ - 1} = 7 \: ....(2) [/tex]
__o__o__
[tex] \frac{1}{3x} - \frac{1}{4y} = 5 \: ....(1) \\ \\ \\ \frac{1}{2x} + \frac{1}{3y} = 7 \: ....(2)[/tex]
From equation (1) ;
[tex] \frac{1}{3x} - \frac{1}{4y} = 5 \\ \\ \frac{1}{4y} = \frac{1}{3x} - 5 \\ \\ \frac{1}{4y} = \frac{1 - 15x}{3x} \\ \\ \\ 4y(1 - 15x) = 3x \\ \\ 4y = \frac{3x}{1 - 15x} \\ \\ y = \frac{3x}{4(1 - 15x)} \\ \\ \\ y = \frac{3x}{4 - 60x} [/tex]
[tex] \frac{1}{2x} + \frac{1}{3y} = 7 \\ \\ \\ \frac{1}{2x} + ( \frac{1}{3( \frac{3x}{4 - 60x} )} ) = 7 \\ \\ \\ \frac{1}{2x} + ( \frac{1}{ \frac{9x}{4 - 60x} } ) = 7 \\ \\ \\ \frac{1}{2x} + \frac{4 - 60x}{9x} = 7 \\ \\ \\ \frac{9}{18x} + \frac{2(4 - 60x)}{18x} = 7 \\ \\ \\ \frac{9}{18x} + \frac{8 - 120x}{18x} = 7 \\ \\ \\ \frac{9 + 8 - 120x}{18x} = 7 \\ \\ \frac{17 - 120x}{18x} = 7 \\ \\ 18x \times 7 = 17 - 120x \\ \\ 126x = 17 - 120x \\ \\ 126x + 120x = 17 \\ \\ 246x = 17 \\ \\ x = \frac{17}{246} [/tex]
[tex]y = \frac{3x}{4 - 60x} \\ \\ y = \frac{3( \frac{17}{246}) }{4 - 60( \frac{17}{246} )} \\ \\ y = - \frac{17}{12} [/tex]
If f(x) is an exponential function where f(1.5) = 7 and f(8.5) = 46, then find the value of f(14), to the nearest hundredth.
Answer:
[tex]f(14)=201.932[/tex]
Step-by-step explanation:
Set up a system of equations and solve for "b"
[tex]\left \{ {{46=ab^{8.5}} \atop {7=ab^{1.5}}} \right\\ \\\left \{ {{\frac{46}{b^{8.5}}=a } \atop {\frac{7}{b^{1.5}}=a} \right\\\\\frac{46}{b^{8.5}}=\frac{7}{b^{1.5}}\\ \\46b^{1.5}=7b^{8.5}\\\\46=7b^7\\\\\frac{46}{7}=b^7\\ \\b=1.308604899[/tex]
Determine the value of "a" using "b"
[tex]y=ab^x\\\\46=a(1.308604899)^{8.5}\\\\46=9.837224985a\\\\a=4.676115477[/tex]
Find f(14) using the new function
[tex]f(x)=4.676115477(1.308604899)^x\\\\f(14)=4.676115477(1.308604899)^{14}\\\\f(14)\approx201.932[/tex]
Last week Connor and his roommates ate 1 1/6 cartons of yogurt, and this week they ate 3 cartons. How much more yogurt did they eat this week compared to last week?
Answer:
dude I need like a picture or something to say
Chris is opening candy store. He is charging $4 for a small box of candy and then $1.25 for each additional box. What is the slope and y-intercept for this situation?
Answers:
Slope = 1.25
y intercept = 4
Explanation:
The slope is the rate of change. In this case, it's the price of getting an extra box.
The y intercept is the starting cost assuming that everyone has to get at least one small box of candy.
How do I solve this problem?
Answer:
M. E. = +_2.086
Step-by-step explanation:
How do I solve this problem?
5. Which statistical graph is the most useful when comparing multiple datasets?
a. Ogive
b. Box-plot
c. Pie chart
d. Histogram
ILL GIVE BRAINLIEST
In a bus of 40 passengers, the number of women is 7 times more than the number of men. How many women are on that bus? Explain your answer.
Answer: is 5
Step-by-step explanation:
x is the missing number for women women are 7 times more than the number of men
So you do x times 7, which is 7x
Then you add them together
x + 7x = 8x
8x = 40
At last you divide 40 by 8
And the answer is 5
pls answer i have to get this done
Answer:
[tex]\huge\boxed{\times 2}[/tex]
Step-by-step explanation:
1 turned into 2, that means, it has been multiplied by 2.
1 × 2 = 2
3 turned into 6, that also means, it has been multiplied by 2.
3 × 2 = 6
So, both have been multiplied by 2.
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Answer: x 2
The answer is "x 2". This is because, as we see, 1 is then turned into 2. This is because 1 is multiplied by 2, which equals 2. 1 x 2 = 2. And 3 is turned into 6 through multiplication. 3 x 2 = 6. So we can see that the relationship between the quantities is "x 2".
Step-by-step explanation:
Hope this helps =)
Lines k and l are parallel and the measure of angle ABC is 22 degrees. Find the measures of angle ECF.
Answer:
22 degrees
Step-by-step explanation:
Angles ABC and ECF are corresponding angles.
8j + 5 = 61
Steps to solve
Answer:
j =7
Step-by-step explanation:
8j + 5 = 61
Subtract 5 from each side
8j + 5-5 = 61-5
8j = 56
Divide each side by 8
8j/8 = 56/8
j = 7
Answer:
J = 7
Step-by-step explanation:
8j + 5 = 61
8j = 61 - 5
8j = 56
8j ÷ 8 = 56 ÷ 8
j = 7
What is the solution given the expression
216^2/3
36
6
108
12
Answer:
36
Step-by-step explanation:
Noticing that 216 = 6^3 and using (x^a)^b = x^ab
216^2/3 = (6^3)^2/3 = 6^3 times 2/3 = 6^2 = 36
Yesterday morning Kimberly had 48 dollars. She first spent 3/4 of it at the mall. She counted her
money. Later, she went to the movies and spent 1/3 of what was left after her shopping. How much
money does she have now?
Answer:
$8.00
Step-by-step explanation:
Based on the given conditions, formulate:
[tex]48[/tex] × [tex](\frac{1}{3}-1)[/tex] × [tex](\frac{3}{4}-1)[/tex]
Apply the Distributive Property:
[tex](48[/tex] × [tex]\frac{1}{3}+48[/tex] × [tex](-1))[/tex] × [tex](\frac{3}{4}-1)[/tex]
Apply Multiplicative Distribution Law:
[tex](16-48)[/tex] × [tex](\frac{3}{4}-1)[/tex]
Calculate the sum or difference:
[tex]-32[/tex] × [tex](\frac{3}{4}-1)[/tex]
Apply the Distributive Property:
[tex]-32[/tex] × [tex]\frac{3}{4}-32[/tex] × [tex](-1)[/tex]
Apply Multiplicative Distribution Law:
[tex]-24+32[/tex]
Calculate the sum or difference:
[tex]8[/tex]
Find the coordinates of the intersection of the diagonals of parallelogram GHJK with vertices G (-4,5), H (3,5), J (2, -1), and
K(-5, 1)
Solution:
Draw the parallelogram on the coordinate plane.
Graph #1 Attached~We can tell that the intersection point is (-8/5,27/10).
Hoped this helped!
Mike has 25 toys. Lucy has 31 toys.
What number is equal to
Lucy's number of toys?
Answer:
31 - 25 = 6
Step-by-step explanation:
Have a good day! :)
Express your answer to the 3rd sf 304.03 - 189.65
Answer:
114.4
Step-by-step explanation:
the answer is originally 114.38, but rounding it off makes it 114.4
Answer:
114.38 Is Your Answer
Please Help! I have a math test and can't understand this one!?
Solve each inequality.
x+4 >9 Write the inequality.
x + 4 -4 >9 -4 Subtract 4 from each side.
x,>5 Simplify.
Answer:
[tex]\large\boxed{\boxed{\underline{\underline{\maltese{\pink{\pmb{\sf{\: Solution \hookrightarrow \: x > 5 }}}}}}}}[/tex]
Step-by-step explanation:
[tex]\tt{x + 4 > 9}\\\\\sf{Bring \: 4 \: to \: the \: right \: side \: of \: the \: equation}.\\\\\tt{x>9-4} \\\\\sf{Subtract \: 4 \: from \: 9 \: to \: get \: 5}\\\\\boxed{\sf{x > 5}} \dashrightarrow \mathfrak{Answer}[/tex]
______________
[tex]\sf{Hope \: it \: helps}\\\mathfrak{Lucazz}[/tex]
Answer:
[tex] \displaystyle{x + 4 > 9}[/tex]
Subtract 4 from each side:[tex] \displaystyle \: x + 4 - 4 > 9 - 4[/tex]
[tex] \displaystyle \: x > 5[/tex]