Answer:
9 pounds of chocolate candies
6 pounds of sugar candies
Step-by-step explanation:
x + y = 15
y = 15 - x
(7x + 2y) / 15 = 5
7x + 2y = 15 * 5 = 75
7x + 2 * (15 - x) = 75
7x + 30 - 2x = 75
5x = 45
x = 9
15 - 9 = 6
y = 6
9 pounds of chocolate candies and 6 pounds of sugar candies
The owner should use 6 pounds of the chocolate candies, and the other 9 pounds of the sugar candies.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Given that owner of a grocery store wants to mix two kinds of candy together to make 15 lb that he can sell for $5.00 per lb.
He wants to use chocolate candies that he sells for $7.00 per lb and sugar candies that he sells for $2.00 per lb.
x + y = 15
y = 15 - x
(7x + 2y) / 15 = 5
7x + 2y = 15 x 5 = 75
7x + 2 (15 - x) = 75
7x + 30 - 2x = 75
5x = 45
x = 9
Now 15 - 9 = 6
y = 6
Threfore, we conclude that 9 pounds of chocolate candies and 6 pounds of sugar candies.
Learn more about equations here;
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Someone please help!!
A dozen oranges cost $2.00. How many oranges can be bought for $10.00
Answer:
14 oranges
Step-by-step explanation:
Solve the equation for x:
-3(x + 4) + 5x = 24
[tex]-3(x + 4) + 5x = 24\\\\-3x - 12 + 5x = 24\\\\2x - 12 = 24\\\\2x = 36\\\\x = 18[/tex]
The solution for x in this equation is 18.
Answer:
x = 18
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
-3(x + 4) + 5x = 24
Step 2: Solve for x
Distribute -3: -3x - 12 + 5x = 24Combine like terms: 2x - 12 = 24Isolate x term: 2x = 36Isolate x: x = 18Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: -3(18 + 4) + 5(18) = 24Add: -3(22) + 5(18) = 24Multiply: -66 + 90 = 24Add: 24 = 24Here we see that 24 does indeed equal 24.
∴ x = 18 is the solution to the equation.
In the sixth grade 3/7 of the students are boys and 5/8 of these boys are in Miss Jones class what fraction of the entire six grade class are the boys in Miss Jones class
Answer:
Think of the entire population of 6th graders here. 3/7 are boys and 4/7 are girls. 5/8 of these boys are in Ms. Jones' class; that fraction would be (5/8)(3/7), or 15/56. This 15/56 represents the fraction of the entire sixth grade class who are in Ms. Jones' class.
Two years ago, Jose bought $750 worth of stock in a cell phone company. Since then the value of his stock has been DECREASING at an average rate of 5 1/4 % per year. How much is the stock worth now?
Answer:
$671.25
Step-by-step explanation:
To get the amount by which the stock have reduced after 2 years, we will use the interest formula;
Interest = Principal * rate * time/100
Interest = 750*5 1/4 * 2/100
Interest = 750*21*2/400
Interest = $78.75
This means that the value of the stock has reduced by $78.75 after 2 years;
Amount that the stock worth now = $750 - $78.75
Amount that the stock worth now = $671.25
find 3 consecutive numbers with the product 10626
Answer:
The three numbers will therefore be close to 21.98. So, I'd say they'd be
21,22,23 whose product is 10626
Step-by-step explanation:
A gift basket has 2 soaps and 5 lotions and costs $20. A second basket has 6 spas and 15 lotions and cost $60. Is it possible to determine the price of the soap?
A second basket has 6 spas--- I think you mean 6 soaps , so i will work with that
Answer:it is not possible to determine the price of the soap with the information given.
Step-by-step explanation:
Let s0ap be represented as x
and lotion be represented as y
2 soaps and 5 lotions costing $20 gives us equation 1 as
2 x+ 5y= 20-------- equation 1
second basket with 6 soaps and 15 lotions and costing $60 gives us equation 2 as
6x + 15y= 60------equation 2
Step 2 -- Solving
2 x+ 5y= 20-------- equation 1
6x + 15y= 60--------equation 2
BY elimination method, we multiply equation 1 by (3)
2x + 5y= 20 x (3)
6x + 15y=60-------equation 3
Subtraction of equation 3 from equation 2 gives us
6x + 15y=60-------equation 3
-6x + 15y= 60--------equation 2
0x +0y=0 which is no solution
Therefore it is not possible to determine the price of the soap
A company rents out 15 food booths at the country fair. The fr for a food booth is $200 plus $8 per day. The fee for a game booth is $65 plus $7 per day. The fair lasts d days and all the booths are rented for the entire time. Enter a simplified expression for the amount in dollars that the company is paid.
Complete question :
A company rents out 15 food booths and 20 game booth at the country fair. The fr for a food booth is $200 plus $8 per day. The fee for a game booth is $65 plus $7 per day. The fair lasts d days and all the booths are rented for the entire time. Enter a simplified expression for the amount in dollars that the company is paid.
Answer:
4300 + 260d
Step-by-step explanation:
Given that :
Earning from Food booth cost :
Number of booth * cost
15(200 + 8d)
3000 + 120d
Earning from Game booth :
Number of booths * cost
20(65 + 7d)
1300 + 140d
Total sum :
Total earning from game booth and food booth
3000 + 120d + 1300 + 140d
3000 + 1300 + 120d + 140d
4300 + 260d
Give an example of an equation that has no solution equation and explain why it is a no solution equation.
Answer:
x = x + 7
Step-by-step explanation:
In this equation, it is saying that x is equal to itself plus something else (7). This equation does not make sense at all because x cannot equal to something that is bigger or smaller than itself. If 7 is added to x, like the right-hand side of the equation, it cannot be equal to x from the left-hand side of the equation, so there is no solution to the value of x in this equation.
Which is the quotient of 1.54 : 0.44?
O A. 0.35
O B. 0.36
O C. 3.5
O
D. 3.6
Help me get to a C in this class please I’m flustered
Answer:
C. 3.5
Step-by-step explanation:
Math
Way
please solve for the correct answer. thank you! :)
Answer:
The first: y = -25x + 180Step-by-step explanation:
In every equation b = 170, so
The equation is y =mx + 170
On the line on the graph, for x=2 we have y = 120,so:
120 = m×2 + 170
-50 = 2m
m = 25
Therefore the equation is:
y = -25x + 180
Find the area use 3.14 for pie. Round your awnser to the nearest tenth. (19mm its in half a circle)
A.)283.4
B.)551
C.)2,205.1
D.)141.7
Answer:
A) 283.4
Step-by-step explanation: If the diameter is 19 then the radius is 9.5 squared times pi. (please correct me if i am wrong)
A coin collection consists of dimes and nickels. If there are a total of 500 coins valued
at $39. how many dimes are there?
Answer:
There are 280 dimes
Step-by-step explanation:
A nickel is worth 5 cents while a dime is worth 10 cents
Let n be number of nickel
d the number of dimes
n + d = 39
Secondly
$39 is same as 3900 cents
So we have;
10d + 5n = 3900
From first equation;
n = 500-d
Put this in second equation;
10d + 5(500-d) = 3900
10d + 2500-5d = 3900
5d = 3900-2500
5d = 1400
d = 1400/5
d = 280
15 PONITS PLS HELP ME
Answer:
a=4 b=5
Step-by-step explanation:
Answer:
a=4 b=5
Step-by-step explanation:
Convert 384,000 to round to the nearest tenth?
Answer:
124.6
Step-by-step explanation:
14 ÷ (2 + 5) what the answer to this?
Answer:
2
Step-by-step explanation:
2+5 = 7 14 divided by 7 is 2
mark as brainliest plz
A local sawmill sells a total of 250,000 board feet of hardwood each year. The ratio of softwood sold to hardwood sold is 5: 3. Write and solve a ratio to find the amount of softwood sold each year. Round your answer to the nearest thousand.
Answer:
look i need help on the smae thing so sorry
Step-by-step explanation:
The Vanderbloom family already traveled 200 miles on their vacation. The total distance that they will travel (d) is a function of their rate of travel (r) and their upcoming travel time (t). This is represented with the equation given below.
Answer: t=r/d-200
Step-by-step explanation:
d-200=r/t+200-200
t*(d-200)=r/t*t
t(d-200)/(d-200)=r/d-200
t=r/d-200
Which one should I choose
Answer: 9
Step-by-step explanation:
Since x=2 that means there should be 2 3s being multiplied since it’s 3 to the second power. So 3x3 which equals 9. If this answer helped please mark it brainliest!
Answer:
the last option, 9
Step-by-step explanation:
if x=2 then you would just plug x into the equation to get:
y=3^2 or 3 squared and that's just:
3x3 which is
9
So your answer would be 9
I hope this helps! blessings, have a lovely day/night, xo, nm :) <3
8. Write the equation of the line in standard form with integer coefficients.
y= 3/2 x - 1/2
Answer:
y= 1 1/2x-1/2
Step-by-step explanation:
Define the term rational number and give at least one example.
Answer:
A rational number is a number that can be expressed as a fraction where both the numerator and the denominator in the fraction are integers. The denominator in a rational number cannot be zero. Expressed as an equation, a rational number is a number. a/b, b≠0. where a and b are both integer
Step-by-step explanation:
All rational numbers are algebraic. ...
The quadratic surds (irrational roots of a quadratic polynomial ax2 + bx + c with integer coefficients a, b, and c) are algebraic numbers. ...
The constructible numbers are those numbers that can be constructed from a given unit length using straightedge and compass. ...
Answer:
A rational number can be divided by two integers
1.5~Is a rational number because it = 3/2~
~3 and 2 are both integers~
Find the surface area of this cylinder using pie.
Answer:
Thus, the surface area of a cylinder involving pie is:
[tex]\:\:\:A=36\pi \:[/tex] in²
or
[tex]A\approx 113.1[/tex] in²
Step-by-step explanation:
Given
radius = r = 2 in height = h = 7 inUsing the formula to determine the surface area of a cylinder:
[tex]A=2\pi \:rh+2\pi \:r^2[/tex]
[tex]A=\left(2\times \pi \times \:2\times 7\right)+\left(2\times \pi \times \:2^2\right)\:[/tex]
[tex]\:\:\:A=36\pi \:[/tex] in²
Thus, the surface area of a cylinder involving pie is:
[tex]\:\:\:A=36\pi \:[/tex] in²
or
[tex]A\approx 113.1[/tex] in²
A scientist finds that an intial bacteria count was 24 million and 4 hours later, the count was up to 99
million. Write an exponential equation of the form y = abt for this scenario. Round b to four decimal
places.
y =
In parallelogram ABCD above, AE =2x+4 and AC=6x. What is the length of CE?
Answer:
4-4x
Step-by-step explanation:
From the parallelogram
CE = CA+AE
Since CA = -AC
CE = -AC+AE
GIVEN
AC = 6x
AE= 2x+4
Substitute
CE = -6x+2x+4.
CE = -4x+4
Gene the length of CE is 4-4x
Help pls thank you!!!
Answer:
I think its 8 but I'm not positive sorry if I'm wrong!
Step-by-step explanation:
The Y-intercept is when the line of the graph crosses through the y intercept
You missed 1 4questions on your math test and 3 out of 10 on your history test. In which class did you earn a higher percentage on your quiz?
Answer:
You got a higher score on your math test.
Step-by-step explanation:
100/10= 10 so 3/10 turns into 30/100 so if you got three wrong that’s 30 points off so you scored a 70%. While on the other test, 100/4=25 so each question is worth 25 points if you miss one you get a 75%. Making that higher score.
A new product yrtjk6m4es7uyjujgmu
Answer:
what?
Step-by-step explanation:
is this an actual thing or are you just messing around?
What is the volume of a rectangular prism that is 8 inches long, 2 inches wide, and 4 inches high?
Answer:
64 in³
Step-by-step explanation:
8 x 4 = 32, 32 x 2 = 64 :D
− 50 ≤ 7 + 6 ≤ −8 (i need this quick)
Answer:
−50≤7+6≤−8
=0
PLEASE HELP FAST BOTTOM ONE!!! I WILL GVIE EXTRA POINTS AND BRAINLIST!
Answer:
40
Step-by-step explanation:
A kilometre is 1000 metres. 1000 / 25 = 40. So forty basketball courts would be approximately 1 km if lined up end to end.
The answer is 40 because 1 kilometer divided by 25 meters would be 40 and each court is 25 meters so that is 40 courts in 1 kilometer.