There are 15 nickels and 3 quarters.
Let x represent the number of nickels and y represent the number of quarters. Each nickel is worth 5 cent ($0.05) and each quarter worth 25 cents ($0.25)
A jar contains 12 more nickels than quarters.
x = 12 + y
x - y = 12 (1)
Also the, total value of the quarters equals the total value of the nickels. hence:
0.05x = 0.25y
0.05x - 0.25y = 0 (2)
Therefore x = 15, y = 3
Therefore there are 15 nickels and 3 quarters.
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There are 3 quarters in the jar.
Let n = number of nickels and n' = number of quarters
Since the jar contains 12 more nickels than quarters, we have
n = n' + 12 (1)
Also, the total value of the quarters equals the total value of the nickels.
Since one nickel = $ 0.05 and 1 quarter = $ 0.25
n × 0.05 = n' × 0.25
0.05n = 0.25n'
Dividing both sides by 0.05, we have
n = 0.25n'/0.05
n = 5n'
Substituting n = 5n' into (1), we have
n = n' + 12
5n' = n' + 12
5n' - n' = 12
4n' = 12
Dividing both sides by 4, we have
n' = 12/4
n' = 3
So, there are 3 quarters in the jar.
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Martha, Brett, and Mike are competing in a cooking competition. They all used different amounts of oil from a can containing 8 gallons of oil.
Martha used 17% of the total oil in the can.
Brett used 0.18 of the total oil in the can.
Mike used 0.7 gallon of the total oil in the can.
Who used the greatest amount of oil from the can? Show your work and explain your answer in words. (10 points)
Answer:
Mike
Step-by-step explanation:
17% = .17
.7 = .70
All that's left is to compare the amounts of oi for each person and decide who has the most, which would be Mike. Hope this helps! (Rate brainliest!)
Answer:
Brett used the most
Step-by-step explanation:
Martha used = 17%
Brett used = 0.18 = 18/100 = 18%
Mike used = 0.7 × 100/8 = 8.75% (he only used 0.7 of ONE of the gallons in the can, not of the total oil in the can)
Therefore, Brett used the greatest amount of oil.
solve pls brainliest
Answer:
20yd²
Step-by-step explanation:
6 × 6 = 36
4 × 4 = 16
36
-16
20
got the picture since copying wont work
STEP1:
Equation at the end of step 1
(2²x³• 2) • x³
STEP2:
Multiplying exponents:
2.1 2² multiplied by 2¹ = [tex]2 {}^{(2 + 1)} [/tex] = 2³
Equation at the end of step2:
2³x³ • x³
STEP3:
Multiplying exponential expressions :
3.1 x³ multiplied by x³ = [tex] {x}^{(3 + 3)} [/tex] = x⁶
Final result :
2³x⁶
Find three consecutive whole numbers such that the sum of the squares of the numbers is equal to 434
Answer:
[tex]\left \{ {{x^2+y^2+z^2=434} \atop {x-y-z=0}} \right.[/tex]
Step-by-step explanation:
Suppose y varies jointly as x and z. What is y when x = 2 and z = 3, if y = 20 when x = 4 and z = 3?
Answer:
y = 10
Step-by-step explanation:
Given y varies jointly as x and z then the equation relating them is
y = kxz ← k is the constant of variation
To find k use the condition y = 20 when x = 4 and z = 3 , then
20 = k × 4 × 3 = 12k ( divide both sides by 12 )
[tex]\frac{20}{12}[/tex] = k , that is
k = [tex]\frac{5}{3}[/tex]
y = [tex]\frac{5}{3}[/tex] xz ← equation of variation
When x = 2 and z = 3 , then
y = [tex]\frac{5}{3}[/tex] × 2 × 3 = 5 × 2 = 10
Miss Reyes earns $3500 per month from which income tax is deducted at 30%. Calculate her net pay.
Answer: 3395 dollars
Step-by-step explanation:
First, the question said that Miss Reyes earns 3500 dollars. But the tax is 30%. Than, the tax is 3500 times to 30%. If you calculate it, it will be 105 dollars. Now, we can subtract the 105 from 3500. It equals to 3395 dollars.
Find the value of each variable.
X=?
Answer:
x=3
Step-by-step explanation:
The equation is x² + 5x = 24, so 3² +15 would be the perfect match. This is because 9+15=24.
Solve the equation 6 - 6x = 5x - 9x -2
Answer:
x = 4
Step-by-step explanation:
[tex]6 - 6x = 5x - 9x - 2\\6 - 6x = - 4x - 2\\- 6x -(-4x)=-2-6\\-2x=-8\\x=-8/-2=4[/tex]
Complete the statement with always, sometimes, or never.
The terms of a polynomial are ________ monomials.
Answer:
always
Step-by-step explanation:
The terms of a polynomial are _always_ monomials.
A polynomial is a sum of monomials.
A box's volume is equal to 600 cubic
inches. If the width of the box is 7
inches less than the length, and the
height is 10 inches less than the length,
find the dimensions of the box.
Answer:
Step-by-step explanation:
Length = x
width = x - 7
height = x - 10
volume = 600 in^3
Volume = L * w * h
600 = x * (x - 7)*(x - 10)
600 = x * (x^2 - 17x + 70)
600 = x^3 - 17x^2 + 70x
x^3 - 17x^2 + 70x - 600 = 0
There is a genius somewhere that could solve this using algebra. The rest of us have 2 choices. We can graph it (see below) or we could use a program that solves it for us. I'll do both for you.
a = 1
b = - 17
c = 70
d = - 600
There is only 1 real solution: x = 15
L = 15
w = 8
h = 5
That has to be one of the ugliest graphs made. It does into the hundreds of thousands and it still looks like a straight line. Trust me. It's not.
Find the length x.
2
4
5
X
Answer:
2.5
Step-by-step explanation:
5/4 = x/2
yeah-ya... right
BRAINLIEST
I’ve posted this over 5 times please help me
Answer:
I don't know just guess sorry
Is the set (3,1),(6,4),(9,7),(12,10) a function? Explain how you know
A 9-ounce can of peaches sells for $1.26. Find the unit price.
Answer:
0.14 per ounce
Step-by-step explanation:
1.26 ÷ 9= 0.14
Hope this helps! :)
The unit price of peach would be $0.14.
What is a expression? What is a mathematical equation? What is Equation Modelling?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have a 9-ounce can of peaches sells for $1.26.
9-ounce can of peaches sells for $1.26.
Then -
1 ounce of peach will cost = (1.26/9) = $0.14
Therefore, the unit price of peach would be $0.14.
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What is the value of x in the triangle?
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The value of x is ~
[tex] \boxed{5 \sqrt{3} }[/tex]
[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
The Triangle stated in the diagram is a right angled Triangle, so
[tex] \tan(30) = \dfrac{x}{15} [/tex][tex] \dfrac{1}{ \sqrt{3} } = \dfrac{x}{15} [/tex][tex]x = \dfrac{15}{ \sqrt{3} } [/tex][tex]x = 5 \sqrt{3} [/tex]
Roy bought a drum set for $422 and a guitar E La
for $358. If sales tax is 7.5%, what is the total
a free
cost of the instruments, including tax?
The in
amour
Answer:
The final total including tax is 838.5
The sale tax is 58.5
Step-by-step explanation:
m = – 3; (2, 2) help pls
Answer:
try maltpling 3 *2*2
Step-by-step explanation:
When you graph a linear equation, it will
form a:
Select one:
a.
curve
O b. square
С.
line
d. all of the above.
Help.
Answer:
straight line, C
Step-by-step explanation:
The graph of a linear function is a straight line. Graphically, where the line crosses the x -axis, is called a zero, or root. Algebraically, a zero is an x value at which the function of x is equal to 0 . Linear functions can have none, one, or infinitely many zeros.
I hope this helps.
Mr. Yueng graded his students’ math quizzes.
Students came up with four different answers when solving the equation x3 = 22.
Answer:
7.3*
Step-by-step explanation:
do the inverse:
22/3=7.3*
*=recurring
I Will BE GIVING A BRAINLIST AND A FOLLOW BACK ONLY FOR THE ACCURATE ANSWERS PLEASE TAKE A LOOK AT MY WORKSHEET PLEASE ANSWER QUESTIONS 1-5 AND PROVIDE EXPLANATION .
Answer:
1. Recursive formula: b(n-1)+2
2. Explicit formula: −2n+5
3. -20
4. 2, 11, 20, 29, 38, 47, 56, 65, 74, 83, 92, 101, 110, 119, 128
Step-by-step explanation:
how do you solve this inequality
[tex]2x - y \leqslant 3[/tex]
Step-by-step explanation:
I said in your comments, you can solve it for each variables
you have 2 answers
1) 2x<y+3
[tex]x \leqslant \frac{y + 3}{2} [/tex]
2)
[tex]y \geqslant 2x - 3[/tex]
In the average household, the tv is on for 6. 75 hours a day. How many hours will have passed after 77. 7 years?.
the answer is 524.47500
can u sub 2 my channel its Raging Sushi and can u like the only video there is
please help soon i need to get this pre-test. done
Answer:
65.5 in
Step-by-step explanation:
Ok, the two triangles are similar, since they're both right triangles, the angle in C are congruent, and the third has to be by difference. It means that the distance DC is proportional to 44 inches, on the proportion[tex]x:44 = 11.5:23.5 \rightarrow x= 44\frac{11.5}{23.5} = 21,5 in[/tex] To this we need to add the 44 inches traveled in the first part, to get a total of 65.5 in
Answer:
A.
Step-by-step explanation:
The triangles are similar, so we can estimate that the ratio between them is 1:2 (23.5/11.5~~2). Now we have that 44/2 is 22 and 44+22 is 66. The closest answer to 66 is 65.5, which is A.
Sergei buys a rectangular rug for his living room. He measures the diagonal of the rug to be 18 feet. The length of the rug is 3 feet longer than the width. What are the approximate dimensions of the rug? Round each dimension to the nearest tenth of a foot. 10. 4 feet by 7. 4 feet 11. 1 feet by 8. 1 feet 13. 4 feet by 10. 4 feet 14. 1 feet by 11. 1 feet.
A rectangular rug divided by its diagonal becomes a right angle triangle
The length and width of the rug is 14.1 feet by 11.1 feet
A right angle triangle has the longest side as the hypotenus which is also the diagonal.Diagonal = 18 feet
width = x
length = x + 3
diagonal ² = length ² + width ²
18² = x² + (x + 3)²
18² = x² + x² + 6x + 9
324 = 2x² + 6x + 9
2x² + 6x + 9 - 324 = 0
2x² + 6x - 315 = 0
solve using quadratic formula
x = - b ± √b² - 4ac / 2a
= - 6 ± √6² - 4×2×-315 / 2×2
= -6 ± √36 - (-2520) / 4
= -6 ± √36 + 2520/4
= -6 ± √2556 / 4
= - 6 ± 6√71 / 4
= -6/4 ± 6√71 / 4
= -3/2 ± 3√71/2
x = 11.1392 or -14.1392
The value of x can't be negative
So,
x = 11.1 to the nearest tenth
Therefore, the value of width and length is
width = x
= 11.1 feet
length = x + 3
= 11.1 + 3
= 14.1 feet
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The quotient of 7 and twice a number equals 5
Let the number be x.
[tex] \frac{7}{2x} = 5 \\ = > \frac{1}{2x} = \frac{5}{7} \\ = 2x = \frac{7}{5} \\ = > x = \frac{7}{5 \times 2} \\ = > x = \frac{7}{10} [/tex]
Answer:[tex]x = \frac{7}{10} [/tex]
Hope it helps.
Do comment if you have any query.
What is the domain of the relation?
Answer:
Domain: 3, 6, 8, 9, 7
Step-by-step explanation:
Domain: 3, 6, 8, 9, 7
(Domain, Range)
The domain of a function or relation is the set of all possible independent values the relation can take.
Hope this helps :)
Answer:
Domain: {3, 6, 8, 9, 7}
Step-by-step explanation:
A relation is a set of ordered pairs, (x, y). The domain of a relation is the set of all x-values. Therefore, the following is the domain of the given relation:
Domain: {3, 6, 8, 9, 7}.
I need help this question is do today pls help me
Answer:
4.7 x [tex]10^{7}[/tex] miles
Step-by-step explanation:
You know Mars is further away from the sun
so the distance between earth and mars will be
1.4x[tex]10^{8}[/tex]-9.3x[tex]10^{7}[/tex]
14x[tex]10^{7}[/tex]-9.3x[tex]10^{7}[/tex]
4.7 x [tex]10^{7}[/tex] miles
expand and simplify (x+6)(x+3) helppp
Answer:
hope it helps you
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Solve for (x)
I need help with 10(b)
Please
Answer:
x = 4
Step-by-step explanation:
(b)
[tex]\frac{2x+1}{3}[/tex] = 5 - [tex]\frac{1}{2}[/tex] x
Multiply through by 6 ( the LCM of 3 and 2 ) to clear the fractions
2(2x + 1) = 30 - 3x , distribute parenthesis on left side
4x + 2 = 30 - 3x ( add 3x to both sides )
7x + 2 = 30 ( subtract 2 from both sides )
7x = 28 ( divide both sides by 7 )
x = 4
can you please help me
Answer:
i think it's the 6th option
Step-by-step explanation:
