Answer:
how to get gems?
Step-by-step explanation:
khloe and her children went into a movie theater where they sell bags of popcorn for $7 each and candies for $4 each. khope has $60 and must buy no less than 11 bags of popcorn and candies altogether. if x represents the number of bags of popcorn purchased and y represents the number of candies pruchased, write and solve a system of inequalities and determine one possible solution
both inequalities must start with y
Answer: Khloe could buy 3 bags of popcorn and 9 candies.
Step-by-step explanation:
\underline{\text{Variable Definitions:}}
Variable Definitions:
x=
x=
\,\,\text{the number of bags of popcorn}
the number of bags of popcorn
y=
y=
\,\,\text{the number of candies}
the number of candies
\text{\textquotedblleft no less than 11 items"}\rightarrow \text{11 or more items}
“no less than 11 items"→11 or more items
Use a \ge≥ symbol
Therefore the total number of bags of popcorn and candies, x+yx+y, must be greater than or equal to 11:11:
x+y\ge 11
x+y≥11
\text{\textquotedblleft \$60 to spend"}\rightarrow \text{can spend \$60 or less}
“$60 to spend"→can spend $60 or less
Use a \le≤ symbol
One bag of popcorn costs $7, so xx bags of popcorn cost 7x.7x. One candy costs $4, so yy candies cost 4y.4y. The total 7x+4y7x+4y must be less than or equal to \$60:$60:
7x+4y\le 60
7x+4y≤60
\text{Solve each inequality for }y\text{:}
Solve each inequality for y:
\begin{aligned}x+y\ge 11\hspace{30px}& 7x+4y\le 60 \\[0.8em] y\ge 11-x \hspace{30px}& 4y\le 60-7x \\[0.8em] \hspace{30px}& y\le \frac{60-7x}{4} \\[0.8em] & y\le 15-\frac{7}{4}x\end{aligned}
x+y≥11
y≥11−x
7x+4y≤60
4y≤60−7x
y≤
4
60−7x
y≤15−
4
7
x
Graph y\ge 11-xy≥11−x by shading up and graph y\le 15-\frac{7}{4}xy≤15−
4
7
x by shading down:
0
the number of bags of popcorn
the number of candies
x
y
0
the number of bags of popcorn
the number of candies
(3, 9)
Since the point (3, 9(3,9) is inside the double shaded region, one possible solution to the system of inequalities would be:
Khloe could buy 3 bags of popcorn and 9 candies.
The system of inequalities are x + y ≥ 11 and 7x + 4y ≤ 60 and the solution is given by the point P ( 3 , 9 ) where x represents the number of bags of popcorn purchased and y represents the number of candies purchased
What is an Inequality Equation?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
Let x represents the number of bags of popcorn purchased and y represents the number of candies purchased
Now , the total number of bags should be no less than 11
And , the inequality is
x + y ≥ 11 be equation (1)
And , cost of each popcorn bag = $ 7
So , the cost of x bags = 7x
And , cost of each candy bag = $ 4
So , the cost of y bags = 4y
The total amount with Khloe = $ 60
And , the inequality is
7x + 4y ≤ 60 be equation (2)
On graphing the inequalities , we can see that the point P ( 3 , 9 ) lies inside the solution
So , 7 ( 3 ) + 4 ( 9 ) ≤ 60
21 + 36 ≤ 60
57 ≤ 60
And , 3 + 9 ≥ 11
12 ≥ 11
Hence , the system of inequalities are solved and the graph is plotted
To learn more about inequality equations click :
https://brainly.com/question/11897796
#SPJ7
how do you find the domain and range on a graph
Look at the values on the axes of the graph.
Step-by-step explanation:
Domain can be found by looking at the x-axis of a graph. Range can be found by looking at the y-axis of a graph. You have to find at what point on the axis is the graph stopping.
For example, if I wanted the domain of y=x, I would say it is all real numbers. Why? Because when we look along the x-axis, from left to right, we can see that it continues going until infinity. That means that there are no stopping points in the graph of y=x.
You must make a triangle using 3 pieces of
wood, and the two pieces of woods are 4 ft
and 7 ft long. What is the range of the third
possible side?
Answer:7 foot i think
Step-by-step explanation: bottom is 4 foot side is 7 foot that means other side is 7 foot
6. match each equation with the correct number of solutions *
no solution
infinitely many solutions
one solution
Equations:
4(3x+2) = 4(2x+3)+4x
10(x+4)-3 = 14x+1
Answer:
x^4-3x^3-14x^2+12x+40 =0
Step-by-step explanation:
h(x)= -x^3-2x^2-3x+4; x=2
Answer:
h(2) = -18
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
h(x) = -x³ - 2x² - 3x + 4
x = 2
Step 2: Evaluate
Substitute: h(2) = -(2)³ - 2(2)² - 3(2) + 4Exponents: h(2) = -8 - 2(4) - 3(2) + 4Multiply: h(2) = -8 - 8 - 6 + 4Subtract: h(2) = -16 - 6 + 4Subtract: h(2) = -22 + 4Add: h(2) = -18A small bag of flour weighed 30 ounces. A large bag was 10% heavier. How much does the large bag weigh?
Answer:
33 is the large bag
Step-by-step explanation:
10% of 30 = 3
30 + 3 =33
find the slope of the following graph
a) 1/2
b) 2
c) -2
d) -1/2
Answer:
c. -2
Step-by-step explanation:
because the linear line goes down we know it is negative
and its not 1/2 because it is rise over run. it runs 1 and rises 2 (or drops 2 because it is negative)
rise over run = -2/1 = -2
WILL GIVE BRAINLIEST!!!
Ignore the "$".
Jenny's grandmother has $24$ cats. Seventeen of the cats do not catch mice. Ten of the cats have black fur. What is the smallest possible number of cats that do not catch mice that have black fur?
Answer:
Note that 24 - 10 = 14 don't have black fur
And suppose that these 14 are part of the 17 that don't catch mice
Then.....3 that catch mice must also have black fur....and this is the smallest number that do not catch mice but have black fur
Round 827.4715 to four significant
Answer:
827.5 I guess is the answer
Answer:
6 827.472 8.27471 × 102
5 827.47 8.2747 × 102
4 827.5 8.275 × 102
3 827 8.27 × 102
2 830 8.3 × 102
1 800 8 × 102
827.4715
Sig Figs
7
Decimals
4
Scientific Notation
8.274715 × 102
Words
eight hundred twenty-seven point four seven one five
A barrel of oil was filled at a constant rate of 6.2gal/min. The barrel had 9 gallons before filling began. Enter an equation in standard form.
Answer:
9 + 6.2x = y
Step-by-step explanation:
x - Gallons per minute
y - Total gallons
So, your answer would be:
9 + 6.2x = y
Could also be written as:
y = 9 + 6.2x
Hope this helps :)
Simplify
A) 3y-y
B)6q+4- q + 5
Thanks to who ever answers:)
Answer:
=3(y-y)
=3
= 6q-q+9
=q(6-1)+9
=5q+9
The image above is a parallelogram because both pairs of opposite sides are parallel by the converse of the
Alternate (Interior Exterior) Angle Theorem.
Write which word should go in the underlined space after the word Alternate?
Directions for answering:
Choose the correct word in the parenthesis in the sentence above and type it exactly as shown into the answer
space.
Answer:
msnsjakzooapaozoziznzn zjzkzkamamz xnejiqpwkx
please tell fast plzzzzzzz
Answer:
[tex]\huge\boxed{\sf k = 2}[/tex]
Step-by-step explanation:
Coordinate = (x,y) = (2k-1,k)
This means that:
x = 2k - 1 and y = k
Put it in the given equation: 5x - 4y = 7
5(2k-1) - 4k = 7
10k - 5 - 4k = 7
6k - 5 = 7
Adding 5 to both sides
6k = 7+5
6k = 12
Divide both sides by 6
k = 2
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807so easy
What is the common difference in the following arithmetic sequence? 2/3,1/6,-1/3,-5/6,...
A -4
B-1/2
C1/9
D4
Answer:
B.- [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
The common difference is the difference between the numbers in your arithmetic sequence. In this case, we see that the numbers are getting smaller, so we can start by setting up this equation:
[tex]\frac{2}{3} - \frac{1}{6}[/tex]
Because these fractions don't have a common denominator, you make them equal by changing the fractions to have a common denominator. The LCM is 6, so we multiply the first fraction by 2/2:
[tex]\frac{4}{6} - \frac{1}{6} = \frac{3}{6}[/tex]
3/6 can be simplified to be 1/2, and we know we're subtracting, so the answer is b.
Answer:
B
Step-by-step explanation:
Given h(x) = -x + 5, find h(-5).
Answer:
10
Step-by-step explanation:
h(x) = -(-5) + 5
h(x) = 5 + 5
h(x) = 10
(60) POINTS AND 5 STAR AND THANKS AND BRIAN-LIST!!!!!
The chart below describes the speed of four desktop printers.
Which printer is the fastest?
A Roboprint
B Voltronn
C Vantek Plus
D DLS Pro
6 A store sells bags of 12 apples for $3.60. What is the unit cost per apple?
A $0.30
B $0.33
C $3.33
D $3.60
Answer:
1. Send me the chart and ill get you the answer.
2. unit cost is $0.30
Step-by-step explanation:
Rani ate 2/7 of the cake while her brother ate 4/5 part of the remaining. part of the cake left is?
Answer:
Nothing left
Step-by-step explanation:
Nothing left
2/7+4/5=38/35
1 3/35
Answer:
[tex]\frac{1}{7}[/tex]
Step-by-step explanation:
Amount of cake Rani ate = [tex]\frac{2}{7}[/tex]
You need to understand that her brother ate 4/5 of the remaining part, not of the entire cake, so we need to figure out the actual amount out of the entire cake first before calculating how much is left.
Amount of cake brother ate = [tex]\frac{4}{5}[/tex] × ([tex]\frac{7}{7}[/tex] - [tex]\frac{2}{7}[/tex])
= [tex]\frac{4}{5}[/tex] × [tex]\frac{5}{7}[/tex]
= [tex]\frac{4}{7}[/tex]
Amount of cake left = [tex]\frac{7}{7}[/tex] - [tex]\frac{2}{7}[/tex] - [tex]\frac{4}{7}[/tex]
= [tex]\frac{1}{7}[/tex]
Q1 a) Kamahi invests some money which earns compound interest every year. His investment
amounts to sh60, 500 at the end of the second year and sh 73,205 at the end of the fourth year. Find
the rate of interest of the investment.
(5 marks)
Answer: 2=2
Step-by-step explanation:
Without any more information, it sounds like interest is compounded continuously, in which case the value of the investment A is given by
[tex]A=Pe^{rt}[/tex]
where P is the principal investment, r is the interest rate, and t is the number of years.
At the end of the second year (t = 2), the value is A = 60,500, and after the fourth year (t = 4), the value is A = 73,205. So solve the system
[tex]\begin{cases}60,500=Pe^{2r}\\73,205=Pe^{4r}\end{cases}[/tex]
for r. You can eliminate P by dividing
[tex]\dfrac{Pe^{4r}}{Pe^{2r}}=\dfrac{73,205}{60,500}\implies e^{2r}=\dfrac{121}{100}[/tex]
Take the logarithm (log here means natural log) of both sides to get
2r = log(121/100)
r = 1/2 log(121/100)
r ≈ 0.0953
So the interest rate is about 9.53%.
Please someone solve this
Answer:
a)
(4a - 3b + 4) + (a + 3b - 1) =
4a - 3b + 4 + a + 3b - 1 =
5a + 3
b)
(2x^2 - 3x - 3) + (-x^2 - 6x + 8) =
2x^2 - 3x - 3 - x^2 - 6x + 8 =
x^2 - 9x + 5
c)
(3m^2 + 5m - 6) + (-m^2 - 4n + 5) =
3m^2 + 5m - 6 - m^2 - 4n + 5 =
m^2 + 5m - 4n -1
d)
(4x^3 - 3xy^2) + (x^3 - 5xy^2 - 5y^2) =
4x^3 - 3xy^2 + x^3 - 5xy^2 - 5y^2 =
7x^3 - 8xy^2 - 5y^2
e)
(5m + 2lm) + (l^2 - 3m^2 - 2lm) =
5m + 2lm + l^2 - 3m^2 - 2lm =
5m + l^2 - 3m^2
Given ΔACP≅ΔLNX, find each missing measure.
Answer:
XL = PC
AC = NX
PC = XL
Angle L = Angle C
Angle C = Angle L
Angle X = Angle P
Step-by-step explanation:
Camila and her children went into a bakery and she bought $35 worth of cupcakes
and brownies. Each cupcake costs $3.75 and each brownie costs $2.50. She bought a
total of 10 cupcakes and brownies altogether. Write a system of equations that could
be used to determine the number of cupcakes and the number of brownies that
Camila bought. Define the variables that you use to write the system.
Answer:
x + y = 10
3.75x + 2.5y = 35
Step-by-step explanation:
Got it correct
An initial investment of 480$ is appreciated for 2 years in an account that earns 7% interest, compound quarterly. Find the amount of money in the account at the end of the period.
Answer:
The answer is $1,175.34
Need help ASAP no rocky
Answer:
x = 12
Step-by-step explanation:
The sum of a heptagon interior angles is 900 degrees, so:
10x + 5 + 12x - 9 + 9x + 14 + 133 + 10x + 9 + 10x + 136 = 900
rearrange to make it easier to subtract/add, u don't have to do this it's optional
10x + 12x + 9x + 10x + 10x + 5 - 9 + 9 + 14 + 133 + 136 = 900
add liket terms
22x + 29x + 19 + 269 = 900
51x + 288 = 900
subtract 288 from both sides
51x = 612
divide by 51
x = 12
HEYYYYYYYYY HELP ME PLEASE WILL GIVE BRAINLIST
Answer:
b. 13/51
Step-by-step explanation:
hope this helps have a nice day :)
Answer:
d) 4/17
Step-by-step explanation:
14 of each suit, out of 52 total cards.
14/52 would be the chance to draw a diamond.
but, since you removed a card, you change the probability.
13 - 1 = 12
52 - 1 = 51
the probability that you will choose another diamond is 12/51
however, this can be simplified.
12 & 51 are both divisible by 3.
12/3 = 4
51/3 = 17
so the simplified answer would be 4/17
can someone help ill give brainliest
Answer:
a=55%
b=190%
c=54 pounds
Step-by-step explanation:
ok
a.
33/60=0.55
55%
b.
114/60=1.9
or 190%
c
60/100=0.6
0.6=1 percent
54
Answer:
a=55%
b=190%
c=54 pounds
Step-by-step explanation:
Using the given zero, find all other zeros of f(x).
PLEASE HELP
-2i is a zero of f(x) = x4 - 5x2 - 36
2i, 6i, -6i
2i, 3i, -3i
2i, 6, -6
2i, 3, -3
Answer:
((x-4) - 5x2) - 36 = 0 ... 3.2 Find roots (zeroes) of : F(x) = 5x6 + 36x4 - 1 ..............
2i, 6, -6
Step-by-step explanation:
Helen and Stephanie par
cipated in the Christmas bird count. Helen
counted four less than twice the number of birds that Stephanie counted. If c
represents the number of birds Stephanie counted, which of the following
expressions gives the number of birds that Helen counted?
i really really really like birds
Kendal bought x boxes of cookies to bring to a party. Each box contains 12 2 points
cookies. Someone else brought 24 cookies. Let 'y' represent the total
number of cookies at the party. Show an equation in SLOPE-INTERCEPT
FORM that models this situation. Kendal brings 60 boxes to the party. How
many cookies in total were at the party?
9514 1404 393
Answer:
y = 12x +24744Step-by-step explanation:
If there are x boxes, each containing 12 cookies, then the number of cookies in the boxes is 12x. If there are 24 more cookies than that at the party, we have ...
y = 12x +24 . . . . . equation modeling party cookies
__
For x=60, the number of cookies at the party is ...
y = 12·60 +24 = 720 +24
y = 744 . . . cookies at the party
∠A and ∠ B ∠B are supplementary angles. If m ∠ A = ( 2 x + 27 ) ∘ ∠A=(2x+27) ∘ and m ∠ B = ( x + 27 ) ∘ ∠B=(x+27) ∘ , then find the measure of ∠ B ∠B
Answer:
[tex]B = 69[/tex]
Step-by-step explanation:
Given
[tex]A = 2x +27[/tex]
[tex]B = x +27[/tex]
Required
Determine B
First, we need to solve for x
Since both angles are supplementary, then
[tex]A + B = 180[/tex]
Substitute values for A and B
[tex]2x + 27 + x + 27 = 180[/tex]
Collect Like Terms
[tex]2x + x = 180 - 27 - 27[/tex]
[tex]3x= 126[/tex]
Divide through by 3
[tex]x = 42[/tex]
Recall that:
[tex]B = x +27[/tex]
Substitute 42 for x
[tex]B = 42 + 27[/tex]
[tex]B = 69[/tex]
w/6+5/8=−1 3/8
w=?
I am really in a hurry. If the answer to this question is true, please tell me how to answer it. Thank you.
Answer:
46
Step-by-step explanation:
Calculate in calculator