Answer: x=15
Step-by-step explanation: x+ 3x+ 5x+ 7x+ 8x=360
24x=360
24/24 = 360/24
Marlene went shopping and bought a bunch of candy for her swim team. She bought packs of Skittles for $1.50 each and packs of M&Ms for $2 each. She spent a total of $39 and bought 24 items. How many of each item did she buy?
Answer:
18 Skittles
6 M&Ms
Step-by-step explanation:
Set up an equation:
Variable x = number of skittles
Variable y = number of M&Ms
1.50x + 2y = 39
x + y = 24
In the second equation, isolate a variable:
x = 24 - y
Substitute the value of x for 24 - y in the first equation:
1.50(24 - y) + 2y = 39
Use distributive property
36 - 1.5y + 2y = 39
Combine like terms
36 + 0.5y = 39
Isolate variable y:
0.5y = 3
y = 6
Substitute the value of y for 6 in the second equation:
x + 6 = 24
Isolate variable x:
x = 18
Plug these values into any equation of your choice to see if these values are correct (I'll do both equations just to prove it):
1.50(18) + 2(6) = 39
27 + 12 = 39
39 = 39
Correct
x + y = 24
18 + 6 = 24
24 = 24
Correct
11. Which set of ordered pairs represents y as a function of x?
A. {(-4,-3), (-4,-2), (-3,-3), (-3,-2)}
B. {(2.0), (4,0), (4,2), (6, 2)}
C. {(6,-2), (6.0), (6,2), (6,4)}
D. {(0, 0), (2, -4), (4, -8), (6,-12)}
Answer is C. {(6,-2), (6.0), (6,2), (6,4)}
Step-by-step explanation:
Your welcome
A race was 993 meters. If 28 people ran in the marathon how many meters would they
have run total?
Answer:
27,804
Step-by-step explanation:
28x993= 27,804
What is the slope of the line that passes through the
points (4,-7) and (9, 1)?
A) 5/8
B) 8/5
C) -6/12
D)-13/6
Answer:
C) -6/12
Step-by-step explanation:
Sana nakatulong
PLEASE HELP!!
Daniel deposits $1250 into each of two savings accounts shown in the image. Daniel does not make any additional deposits or withdrawals.
- Account A earns 5% annual simple interest.
- Account Bearns 5% interest compounded annually
What is the sum of the balances of Account A and Account B at the end of 4 years?
A. $1,500.00
B. $1,519.38
C. $3,019.38
D. $2,857.59
Answer:
234
Step-by-step explanation:
x=2+3
Someone help I’ll give you Brainly plus 15 points
x/2 + 4 < 18
What is the value of x?
And what does the point on the number line look like?
Someone help me
Answer:
28 hey hello how you doing the answer is 28
I need this answered quickly!
Please and Thank you!
Answer:
A
Step-by-step explanation:
-0.2 translates to -2/10 and then simplifies to -1/5 so you would minus it from the bigger number which is 3/5 because its positive.
According to the latest real estate report from a suburban town, the mean number of home purchases during last quarter was 175 homes with a population standard deviation of 6 homes. A real estate agent believes that the recent increase of mortgage interest rates is causing a decline in home purchases. To test this, the real estate agent randomly selects 60 recent home purchases. What is the probability that the mean of this sample of home purchases is between 173 and 174 homes
Answer:
The probability that the mean of this sample of home purchases is between 173 and 174 homes
P(173≤X≤174) = 0.0936
Step-by-step explanation:
Step(i):-
Given that the mean of the Population = 175
Given that the standard deviation of the Population = 6
Let 'x⁻' be the mean of the random sample
Given that x₁⁻ = 173
[tex]Z_{1} = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } } = \frac{173-175}{\frac{6}{\sqrt{60} } } =-2.58[/tex]
Given that x₂⁻ = 174
[tex]Z_{2} = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } } = \frac{174-175}{\frac{6}{\sqrt{60} } } = -1.29[/tex]
Step(ii):-
The probability that the mean of this sample of home purchases is between 173 and 174 homes
P(X₁≤X≤X₂) = P(Z₁≤Z≤Z₂)
= P(Z≤Z₂) - P(Z≤Z₂) ( both values 'Z' values are negative)
= 0.5 -A(Z₁) - (0.5 -A(Z₂))
= |A(Z₂) -A(Z₁)|
P(173≤X≤174) = | A(2.58)-A(1.29)|
= 0.4951 - 0.4015 (∵ from normal table)
= 0.0936
Final answer:-
The probability that the mean of this sample of home purchases is between 173 and 174 homes
P(173≤X≤174) = 0.0936
determine the mode of the set of data in the stem and leaf plot below
Answer:
51
Step-by-step explanation:
mode is the value which appears the most than other values. In this case 51 will appear 3 times.
Answer:
5.1
Step-by-step explanation:
dont forget the decimal
15% of what number is 30?
please give the steps! i will give brainliest if you give the steps
Answer:
200
Step-by-step explanation:
15% is 0.15
0.15x = 30
x = 30/0.15 = 200
A guy wire supporting a radio tower is attached to the tower 128 feet above the ground. The wire makes a 45 degree angle with the ground. How long is the guy wire
Answer:
181 feet
Step-by-step explanation:
From the the diagram attached ,
Sinθ = a/b..................... Equation 1
Where θ = angle to the horizontal, a = Height of the tower, b = length of the wire.
make b the subject of the equation
b = a/sinθ................. Equation 2
Given: a = 128 feet, θ = 45°
Substitute these values into equation 2
b = 128/sin45°
b = 128/0.7071
b = 181 feet
b = 181 feet
Who is taller: Randall who stands 68 inches tall or Javier who stands 6 feet tall?
Explain your reasoning. Use the sentence frames below to help you.
Note: 1 foot is equal to 12 inches.
Answer: javier is taller
Step-by-step explanation:
68inches=5' 8"
» 40 students were asked their favourite
shoe colour.
What percentage chose white?
Answer: 40% i think
Step-by-step explanation:
A cylindrical soup can has a radius of 1.9 in. and is 5.9 in. tall. Find the volume of the can.
Answer:
66.93 in^3
Step-by-step explanation:
Volume = πr^2h
=> V = 22/7*(1.9)^2*5.9 = 66.93 in^3
A plane rises from takeoff and flies at an angle of 90° with the horizontal runway when it has gained 400 feet find the distance that the plane has flown.
Answer:
2879ft
Step-by-step explanation:
The level runway (x), height gained (h), and distance travelled (r) form a right-angled triangle with base angle
10
∘
.
We may hence use trig ratios to solve for any of the unknowns, in particular for the distance r as follows :
Marcus changed jobs after college. His old salary was $48000 per year. Now his new salary is 37% more per year. What is his new salary?
Answer:
65,760
Step-by-step explanation:
move decimal over two places to make a percent a decimal so .37
then multiply that times the 48000 to get 17,760 and then add that to the original 48000 to get 65,760
Without using technical terms, state a final conclusion that addresses the original claim. Which of the following is the correct conclusion? A. The mean pulse rate (in beats per minute) of the group of adult males is bpm. B. The mean pulse rate (in beats per minute) of the group of adult males is not bpm. C. There sufficient evidence to warrant rejection of the claim that the mean pulse rate (in beats per minute) of the group of adult males is bpm. D. There sufficient evidence to warrant rejection of the claim that the mean pulse rate (in beats per minute) of the group of adult males is bpm.
Answer:
D. There is sufficient evidence to warrant rejection of the claim that the mean pulse rate (in beats per minute) of the group of adult males is 69bpm.
Step-by-step explanation:
Hypothesis testing is used in statistics to confirm the validity of a statement or observation. Null hypothesis is the original observation for which the test is being conducted. Alternative hypothesis is set against the null hypothesis to reach a conclusion whether to accept or reject the null hypothesis. In the given scenario there is sufficient evidence to reject the null hypothesis.
What are the x and y-intercepts of the line described by this equation? −6x+3y=18.9−6x+3y=18.9 Enter your answers in the boxes in decimal form.
Answer:
x intercept = -3.15
y intercept = 6.3
Step-by-step explanation:
Given the expression
-6x+3y=18.9
x intercept occurs at y = 0
-6x+3(0)=18.9
-6x = 18.9
x = -18.9/6
x = -3.15
Hence the x intercept is -3.15
y intercept occurs at x= 0
-6(0)+3y=18.9
3y = 18.9
y = 18.9/3
y = 6.3
Hence the y intercept is 6.3
Graph y = -x^2 – 2. Identify the vertex of the graph. Tell whether it is a minimum or maximum.
Answer:
Maximum, and (0, -2)
Step-by-step explanation:
Estimate 103 + 94 by first rounding each number to the nearest ten
Answer:
200
Step-by-step explanation:
103+94
=100+100
=200
Answer:
197 the nearest ten is 200
Step-by-step explanation:
he need to put the nearest ten
!!!!NEED HELP ASAP DUE SOON!!!!!This table of values represents a linear function. Enter an equation that represents the function defined by this table of values.
Answer:
y=3x+6
Step-by-step explanation:
Just test this on like a graph or something and you will see it works. Let me know if there is a fault in my answer. Thanks! Have a good day.
what is 3/4 divided 1/2.
Answer:
6/4 or 1 2/4
Step-by-step explanation:
hope this helps
Answer:
1.5
Step-by-step explanation:
3/4 ÷ 1/2
= 3/4 x 2
= 6/4
= 3/2
= 1.5
Need help with this problem
In the above figure, m∠AOC = 30° and m∠BOD = (2x + 39)°. If ∠AOC and ∠BOD are vertical angles, what is the value of x? A. x = 69 B. x = -9 C. x = 34.5 D. x = -4.5
i need help asap
Answer:
bestie thats hard
Step-by-step explanation:
Answer:
D. x=-4.5
Step-by-step explanation:
Since they are both vertical angles, m∠BOD must also be equal to 30 degrees, and if you input -4.5 as x, (2 x -4.5x) + 39, that is rewritten as -9 and 39. 39 - 9 is 30 degrees.
The students in a club are selling flowerpots to raise money.Each flowerpot sells for $15.
Part A
Write an expression that represents The total amount of money, in dollars, The students raise from selling flowerpots.
Answer your expression in the box provided. Enter only your expression.Please hurry!
Answer:
y = 15x
Step-by-step explanation:
For every flower pot purchased (y), the quantitity of the price (x) will go up by $15.
Answer:
y = 15x
Step-by-step explanation:
Need your help answer correctly for 20 points! <3
12.50 dollars per hour
Answer:
$12.50
Step-by-step explanation:
Hi,
Cassie: 250 / 20 = 12.5
Marli: 312.50 / 25 = 12.5
Brad: 350 / 28 = 12.5
Each worker makes $12.50 per hour.
I hope this helps :)
Use completing the square to find the equation of the following circle in standard form.
x2 + y2 - 4x + 12y - 16 = 0
Answer:
Here's a calculator that should help
Step-by-step explanation:
https://www.calculatorsoup.com/calculators/algebra/completing-the-square-calculator.php
Can someone help me with this. Will Mark brainliest.
Answer:
[tex]\sqrt{53}[/tex]
Step-by-step explanation:
Use the distance formula:
[tex]\sqrt{(x1-x2)^2+(y1-y2)^2}[/tex]
plug in (-5,6) for (x1,y1) and (-3,-1) for (x2,y2)
[tex]\sqrt{(-5-(-3))^2+(6-(-1))^2}[/tex]
[tex]\sqrt{4+49}[/tex]
[tex]\sqrt{53}[/tex]
Hope that helps :)
Which of the following sets of numbers could not represent the three sides of a right
triangle?
Answer:
{48, 64, 81}
Step-by-step explanation:
