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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7⋅5+(4^2−2^3)÷4 answers: 49 41 34 9
On evaluating the given expression 7.5 + (4² − 2³) ÷ 4, we get 9.5 as the result.
What is Expression?An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation. For example -
5x + 7 = 6
7r + π = 4
Given is the following expression -
7.5 + (4² − 2³) ÷ 4
The given expression is -
7.5 + (4² − 2³) ÷ 4
Using the BODMAS rule, we can solve -
7.5 + (16 - 8) ÷ 4
7.5 + 8 ÷ 4
7.5 + 2
9.5
Therefore, on evaluating the given expression 7.5 + (4² − 2³) ÷ 4, we get 9.5 as the result.
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John rented a jet ski for $199.95. The rental included a rental fee of $75 and an additional charge of $24.99 per hour. How many hours did John rent the jet ski?
Answer:
John rented the jet ski for 5 hours
Step-by-step explanation:
Step 1- Subtract $75 from $199.95 and you should end up with $124.95
Step 2- Divide $124.95 by $24.99 and you should end up with 5
Step 3- John rented the jet ski for 5 hours
Answer:
John rented the jet ski for 5 hours.
Step-by-step explanation:
Take the total cost: $199.95, and subtract $75 because that was included in the cost. You get 124.95. Next you divide $24.99 by 124.95, because $24.99 was the amount he paid per hour, and $124.95 is the amount that he paid in total for all the hours that he jet skied, and you get 5 hours.
100 points if u get this right ty bye now!
Answer:
4 mi²
Step-by-step explanation:
Area of Square: Length x Length
=> Area of Square: 2 x 2
=> Area of Square: 4 mi²
Therefore, the area of the square is 4 mi².
Hoped this helped
Answer:
4 mi²
Step-by-step explanation:
Area of Square: Length x Length
=> Area of Square: 2 x 2
=> Area of Square: 4 mi²
Therefore, the area of the square is 4 mi².
Andrew owns a plumbing company .the table shows the total amount charged based on the number of hours it takes to complete a job . Which equation best represents this situation?
Andrew's charges is an illustration of a linear function
The equation that represents the situation is [tex]\mathbf{y = 12x +45}[/tex]
From the table (see attachment), we have the following points
(x,y) = (1,57) and (2,69)
Start by calculating the slope (m)
[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 -x_1}}[/tex]
So, we have:
[tex]\mathbf{m = \frac{69 - 57}{2 -1}}\\[/tex]
Simplify fraction
[tex]\mathbf{m = \frac{12}{1}}[/tex]
Divide
[tex]\mathbf{m = 12}[/tex]
The equation is then calculated using:
[tex]\mathbf{y = m(x - x_1) + y_1}[/tex]
So, we have:
[tex]\mathbf{y = 12(x - 1) + 57}[/tex]
Open brackets
[tex]\mathbf{y = 12x - 12 + 57}[/tex]
Evaluate like terms
[tex]\mathbf{y = 12x +45}[/tex]
Hence, the equation that represents the situation is [tex]\mathbf{y = 12x +45}[/tex]
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Camelle manages her soccer team. she needs to order 4 practice jerseys for each player. There are y players how many total practice jerseys does she need to order?
write and expression
Answer:
T= total # of jerseys to order
y= # of players
T= 4*y
Total equals 4 times # of players
T= 4y
What is the value of x in the equation 4(2x – 8) = 8(4x + 2)?
Answer:
x=-2
Step-by-step explanation:
4(2x – 8) = 8(4x + 2)
Distribute
8x -32 = 32x+16
Subtract 8x from each side
8x-32 -8x = 32x+16-8x
-32 = 24x+16
Subtract 16 from each side
-32-16 = 24x+16-16
-48 = 24x
Divide by 24
-48/24 = 24x/24
-2 =x
When x=3, the value of x^2-2 is?
Answer:
7
Step-by-step explanation:
First you would square 3 which is nine. Then subrtact 2. The final answer is 7 .
Sandra has designed this open container. The height of the container is 35 cm.
(a) The cross section of the container is given below. Find the area of the following figure.
Answer:
329.87cm2
Step-by-step explanation:
Actually include the question next time.
Full Bottom Is semi circle.. find the area of the semicircle that's A1...
Then find the area of the smaller circle marked in red.. that's A2...
Then A1 - A2 will give you bottom area...
Now move to top one... Top one is a semi circle.. find its area A3...
So add both A3 with A1-A2...
Total will give the area of the shape
The area of the cross-section of the container will be 329.87 cm²
To determine the area of the cross-section of the open container, we need to find the area of the semicircle and add them up.
Area of the container:
Area = (2π r²) + (2πrh)
We are Given, the diameter are 17.5 cm and 6.5 cm respectively.
Diameter of the complete circle will be;
(17.5 + 6.5) =24.0
Area of complete circle is π x( 12)²
452.16 cm²
Therefore, the area of the circle A is (π x( 17.5/2)²
= 240.40 cm² (approx).
Therefore, the area of the circle B is (π x( 6.5/2)²
= 33.166
Total area of circle = 452.16 cm² - 33.166
Area = (452.16 cm² - 33.166 cm² ) + (2x 3.14 x 12 x 35)
Area = 329.87 cm²
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Here is an inequality -10+x÷4+5>7x-5÷3
Answer:
here is the answer x>1/2
solve 3(2x - 3) + 4x = -59
Answer:-5
Step-by-step explanation:
What is determinant ?
Answer:
In mathematics, the determinant is a scalar value that is a function of the entries of a square matrix. It allows characterizing some properties of the matrix and the linear map represented by the matrix.
Answer:
It's a quantity obtained by the addition of products of the elements of a square matrix which is according to a given rule.
The times for running a 5K for a local charity event are Normally distributed with a mean time of 28 minutes and
standard deviation of 5.4 minutes. Which time represents the 60th percentile?
Find the z-table here.
A. 19.6 minutes
B. 26.6 minutes
C. 29.4 minutes
D. 36.4 minutes
Answer:
29.4 minutes represents the 60th percentile
Step-by-step explanation:
Given : The times for running a 5K for a local charity event are Normally distributed, with a mean time of 28 minutes and standard deviation of 5.4 minutes.
To Find : Which time represents the 60th percentile?
19.6 minutes
26.6 minutes
29.4 minutes
36.4 minutes
Solution:
time represents the 60th percentile
Means 60 % data = 0.6 below this
from z table , z score for this = 0.253
z score = ( Value - Mean ) / SD
=> 0.253 = ( Value - 28 ) /5.4
=> 1.3662 = Value - 28
=> Value = 29.3662
=> Value = 29.4
29.4 minutes represents the 60th percentile
Aubree is throwing a pizza party. She has 3 pounds of cheese available and she
needs , pound of cheese to make each pizza. How many pizzas can she make?
Answer:
10 2/3
Step-by-step explanation:
16 x 2/3
32/3 or 10 2/3
what is the solution set of the equation set 3|5-x|+2=29 ?
Answer:
Answer: x = - 4 or x = 14.
Step-by-step explanation:
Rearrange unknown terms to the left side of the equation:3 |5 - x| = 29 - 2Calculate the sum or diff.
Roxana makes bracelets and necklaces and sells them at the farmers’ market. She sells the bracelets for $12 each and the necklaces for $18 each. At the market next weekend she will have room to display no more than 40 pieces, and she needs to sell at least $500 worth in order to earn a profit. (Thank you so much for anyone who answers it
Answer:
She could out 20 necklaces and 20 bracelets on display and she would make $600.
Step-by-step explanation:
$18 necklaces x 20= $360
$12 bracelets x 20 = $240
totalling $600
Fill in geometry proofs. ANGLES. ( I WILL GIVE BRAINLIEST! PLS HELP!)
refer to attachment
#2
vertical angles theorem#3
Third angle therom#4
Definition of congruence#5
Reflexive#6
Definition of bisect#7
SASStep-by-step explanation:
Missing reasons:
2. Vertical angles theorem3. Definition of vertical angles4. Third angle theorem5. Given6. Given7. Definition of bisect8. SSSWhat is the equation of the line that passes through the point (2,-6)(2,−6) and has a slope of -1−1?
Answer:
y=-x-4
Step-by-step explanation:
Find the slope of the line x=+6
Step-by-step explanation:
x = 6
is a straight vertical line (parallel to the y-axis, going through x=6 on the x-axis).
it's slope is therefore undefined (infinite). every possible y value (from -infinity to +infinity) is associated with this one x value (6).
SOMEONE TELL ME WHAT THIS IS PLEASE ( much appreciated if you do help with this question )
Answer:
6x^8 y^5
Step-by-step explanation:
Q8. the distance between two villages is 12875km. Express the distance in standard form.
Answer:
1.2875 × 10^4
Step-by-step explanation:
-----------------------------------------------------------
Standard form / Slope intercept form
_____________1. 3x -y = 7
_____________2. y = 5x - 2
_____________3. 2x + y = -4
_____________4. y = - ¾ x + 1
_____________5. 4 x - y = -8
_____________6. y= -x + 9
_____________7. 3x + 6y = 12
_____________8.y = ⅔x + 5
-----------------------------------------------------------
Answer:
1.) y=3x-7
2.) 2=5x-y
3.) y=-4-2x
4.) 1=3/4x+y
5.) y=4x+8
6.) 9=3/4x+8
7.) 9=y+x
8.) y=-2/6x+2
9.) 5=-2/3x+y
Step-by-step explanation:
Standard form is Ax=By=C and Slope form is y-mx+b
for all of the equations fiqure out which is standard and which is slope, 3x-y=7 is standard and just switch it to slope ie:
3x-y=7
+7 -7
3x-7=y
then switch around so y is in the front and vice versa, also divde any y or C by negative 1 if the answer is negative or if there is a number in front of it like in 9, and 8
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
Please answer without a link.
Answer:
D) 15/4+5.4
Step-by-step explanation:
find the three common multiple of
a)3 and 18
b)9 and 13
c)5 and 17
Answer:
I think these are the answers
a) 3
b) 1
c) 1
What is the slope intercept equation from the graph?
Please help me thank u!
Answer:
y = -3/2x+3
Step-by-step explanation:
Pick two points on the line
(0,3) and (2,0)
Using the slope formula
m = ( y2-y1)/(x2-x1)
= ( 0-3)/(2-0)
= -3/2
The y intercept is 3
Slope intercept form is
y = mx+b where m is the slope and b is the y intercept
y = -3/2x+3
What is the degree of angle o?
Show work
Sketch the graph of each line by identifying the x-and y-intercepts.
Ali box 3 1\4 yards of blue ribbon for a craft project she bought 2 2\3 yards of green ribbon how much ribbon does she have in total to complete her project?
Answer:
5 /12
Step-by-step explanation:
Help homework due soon!!!
Solving a word problem using a system of linear equations:
Jose the trainer has two solo workout plans that he offers his clients: Plan A and Plan B. Each client does either one or the other (not both). On Monday there
were 4 clients who did Plan A and 8 who did Plan B. On Tuesday there were 2 clients who did Plan A and 3 who did Plan B. Jose trained his Monday clients for a
total of 9 hours and his Tuesday clients for a total of 4 hours. How long does each of the workout plans last?
The plans are illustrations of system of linear equations
Plan A lasts for 1 and a half hour, while plan B lasts for 1/3 hour
Let A represent plan A, and B represents plan B
On Monday, we have:
4A + 8B = 9
On Tuesday, we have:
2A + 3B = 4
Multiply the second equation by 2
2 * (2A + 3B = 4)
4A + 6B = 8
Subtract this equation from the first equation.
So, we have:
4A - 4A + 8B - 6B = 9 - 8
3B = 1
Divide both sides by 3
[tex]\mathbf{B = \frac 13}[/tex]
Substitute 1/3 for B in 2A + 3B = 4
[tex]\mathbf{2A + 3 \times \frac 13 = 4}[/tex]
2A + 1 = 4
Subtract 1 from both sides
2A = 3
Divide both sides by 2
[tex]\mathbf{A = 1\frac 12}[/tex]
This means that:
Plan A lasts for 1 and a half hour, while plan B lasts for 1/3 hour
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You and 2 friends have a job cleaning houses. You split the total money you make so
that you each get the same amount. On the first day, you earn $93. The second day,
you earn $75. The third day, you earn $108. How much money do you each get for :
days of work?
Answer:
92 dollars each luv:)
Step-by-step explanation:
