Mia and her children went into a bakery where they sell cupcakes for $2.75 each and
brownies for $1.25 each. Mia has $30 to spend and must buy at least 14 cupcakes
and brownies altogether. If x represents the number of cupcakes purchased and y
represents the number of brownies purchased, write and solve a system of
inequalities graphically.
Answers
Answer:
[tex]x = 8.5[/tex] and [tex]y = 5.3[/tex]
Step-by-step explanation:
Given
[tex]x = cupcakes[/tex]
[tex]y = brownies[/tex]
From the first statement:
[tex]2.75x + 1.25y = 30[/tex]
From the second statement:
[tex]x + y \le 14[/tex]
Required
Solve graphically
I've written the equations (above) and they are:
[tex]x + y \le 14[/tex]
[tex]2.75x + 1.25y = 30[/tex]
See attachment for graph.
The blue line represents [tex]2.75x + 1.25y = 30[/tex]
The shaded part of the graph represents [tex]x + y \le 14[/tex]
From the graph, the solution is:
[tex]x = 8.5[/tex]
[tex]y = 5.3[/tex]
Related Questions
help help help boi i literally don’t know the answer
Answers
the domain is determined by the x values
what is the answer of this 5-x=7-2x
Answers
Answer:
x = 2
Step-by-step explanation:
5 - x = 7 - 2x
-x + 2x = 7 - 5
x = 2
Answer:
x=2
Step-by-step explanation:
5-x=7-2x
5+x=7 (Move 2x to the other side)
x=2 (Minus 5 from both sides)
Check:
5-x=7-2x
5-2=3
7-(2*2)= 7-4 = 3
(Correct)
Is 2/5 and 8/20 equivalent
Answers
explanation:
8 divided by 4 equals 2 and 20 divided by 4 is 5
Answer:
Yes, they are.
Step-by-step explanation:
Which of the following is an x intercept of the function, f (x)=x^3 -5^2-8x+48
Answers
Answer: positive 4
Step-by-step explanation:
Find the slope and y-intercept of the line in each graph.
Answers
2. Slope is -2/3 and the y is 2
Hope this helps
triangle ABC has sides of lengthAB = 10 cm, BC = 12 cm , and AC = 15 cm . List the angles from smallest to largest.
Answers
Answer:Ok 19$ fortnite card. Who wants it!, and yes I am giving it away, and remember, share, share, share, and trolls, don't get blocked!
Step-by-step explanation:
Which expression represents the sentence "five times a number, n"?
Answers
Answer:
5n
Step-by-step explanation:
:)
Answer:5n
Step-by-step explanation:
16x^2 + 10x — 27 = -6x + 5
What are the solutions to this equation?
Answers
Answer:
x=1 or x=−2
Step-by-step explanation:
16x2+10x−27=−6x+5
Step 1: Subtract -6x+5 from both sides.
16x2+10x−27−(−6x+5)=−6x+5−(−6x+5)
16x2+16x−32=0
Step 2: Factor left side of equation.
16(x−1)(x+2)=0
Step 3: Set factors equal to 0.
x−1=0 or x+2=0
x=1 or x=−2
if there are 2 beats in each measure and the quarter notes get the beat ( equals 1), what time signature would you be in
Answers
Answer:
2/4
Step-by-step explanation:
because if there are two in each measure that automatically makes it two beats out of 4.
how could you write 4/8 as a percent without dividing? I am really stuck I need help!!! thank you
Answers
Answer:
it's 50% because the 4 is just half of 8 (plus if you did divide you get 0.5 and 0.5 as a percent is 50%)
Hope this helped!
Step-by-step explanation:
I need help ASAP!!!!!!!
Answers
Answer:
yes GFEH ~LKJM and DCBA ~CRQP
Step-by-step explanation:
if you turn the DCBA shape 90 degrees to the right you can easily see that they're the exact same shape
hope this helps!!
Someone plz help me I’m in mine last question
Answers
Step-by-step explanation:
21)
Frog C - Frog B
318.5-199.25=119.25 cm
22)
Frog A = 213.33
to the nearest whole number= 213 cm
What is the area of the circle below?
10 ft
Answers
Answer:
CircleSolve for area
A=π r^2
r =Radius
You about this first:The circumference of a circle is its perimeter or distance around it. It is denoted by C in math formulas and has units of distance, such as millimeters (mm), centimeters (cm), meters (m), or inches (in). It is related to the radius, diameter, and pi using the following equations: C = πd. C = 2πr.
Step-by-step explanation:
Hope it is helpful....
NO SCAMMING (The goalie on the Ice blades hockey team saves (blocks) 73% of the opponent's shots. With 10 minutes to go, the Ice blades are ahead by one goal, and they will win if the other team does not score.
The other team takes 5 shots in the final 10 minutes. The Ice blades do not score any more goals.)
Question: The table shows pairs of random digits. The pairs in each group simulate the 5 shots taken by the opponent.
The paired digits 00 to 99 represent 100 shots.
Let 00 to 72 = a shot that is saved. Which digits represent a goal scored? Explain.
Answers
Answer:
B
Step-by-step explanation:
How do you write 156 in scientific notation?
Answers
Answer:
Why is 156 written as 1.56 x 10^2 in scientific notation?
Step-by-step explanation:
Will spent $15 for 12 pounds of granola. What is his unit rate in dollars per pound?
Answers
Answer:
1.25
Step-by-step explanation:
to find the unit rate you have to find out how much one pound will be so you divide 15 by 12 and you get 1.25
Arrange the expressions in increasing order of their estimated
Answers
give the missing term 4:5=n:45
Answers
Divide 45 by 5 , then multiply the product by 4
Hopefully this helped you :) .
Answer:
n = 36
Step-by-step explanation:
4 : 5 = n : 45
It can be also written as :-
[tex]\frac{4}{5} = \frac{n}{45}[/tex]
Multiplying both the sides by 45 ,
[tex]=> \frac{4}{5} \times 45 = \frac{n}{45} \times 45[/tex]
[tex]=> n = 4 \times 9 = 36[/tex]
Select all possible solutions
help!
Answers
please help 25 points !!!!!!!!!!!!!!!!!!!
look at the picture below . write a word problem for that equation.
Answers
Now we have to,
Write a word problem for the equation,
→ 2/6 × 3/4
Let's write a word problem,
Nobita had got salary, then he spent his 2/6 of his salary for every 3/4 times. How much he had spent totally (in fraction), give the required expression?
Jackson invested $750 into a savings bond that earned 3% interest each month. At the same time, he also began saving money in a savings account. The value of the savings account is represented by f(x) = 1,000 + 25x, where x represents the number of months since the account was opened. At the end of how many months did the value of the savings bond first begin to exceed the value of the savings account?
Answers
Answer:
33 Is the ANSWERWhat is the product of (3to the square root of 8)(4 to the square root of 3)? Simplify your answer
Answers
Answer:
A. [tex] 24\sqrt{6} [/tex]
Step-by-step explanation:
Given:
[tex] (3\sqrt{8})(4\sqrt{3}) [/tex]
Multiply both together as shown below:
[tex] (3*4*\sqrt{8}*\sqrt{3}) [/tex]
[tex] 12\sqrt{24} [/tex]
[tex] 12\sqrt{4*6} [/tex]
[tex] 12*\sqrt{4} * \sqrt{6} [/tex]
[tex] 12*2 * \sqrt{6} [/tex]
[tex] 24* \sqrt{6} [/tex]
[tex] 24\sqrt{6} [/tex]
a boat traveled 19 kilometers east and 53 kilometers south, how far from its starting position is it?
A 25-foot ladder rest against a house at a point 24.1 feet above the ground. How far away from the house is the base of the ladder?
Answers
Answer:
56.3
6.6
Step-by-step explanation:
Answer:
A boat traveled 19 kilometers east and 53 kilometers south, how far from its starting position is it?: √3170≈56.3 km.
A 25-foot ladder rest against a house at a point 24.1 feet above the ground. How far away from the house is the base of the ladder?: √44.19≈6.65 ft.
Step-by-step explanation:
For these questions, we will need to use the pythagorean theorem: a²+b²=c², where a and b are the legs of the right triangle and c is the hypotenuse.
A boat traveled 19 kilometers east and 53 kilometers south, how far from its starting position is it?
In this question, we are looking for the hypotenuse.
19 and 53 are the legs of the triangle, so we can plug it into the equation:
19²+53²=c²
361+2809=c²
3170=c²
√3170=c
56.30275304103699, or approximately 56.3 km.
A 25-foot ladder rest against a house at a point 24.1 feet above the ground. How far away from the house is the base of the ladder?
25 is the hypotenuse since it is leaning sideways and is the longest side. 24.1 is one of the legs.
In this question, we are looking for one of the legs.
Let's plug it in: 24.1²+b²=25²
580.81+b²=625
Subtract 580.81 from both sides.
b²=44.19
b=√44.19
6.647555941848102, or approx. 6.65 ft.
tell whether the ratios are equivalent: 3 days to 4 hours and 9 days to 12 hours. show your work.
Answers
Answer:
yes.
Step-by-step explanation:
write these ratios as fractions to see if they are proportional
3/4
9/12 -------> this can be simplified by dividing by 3
= 3/4
therefore yes they are equivalent
Please help!!! Thank you!!!!!
Answers
Hope this help!!!!
Answer:
Its the third answer choice
Step-by-step explanation:
Hope this helps
PLEASE HELP ME IF YOU GET IT RIGHT THEN I WILL GIVE YOU BRAINLIEST JUST HELP ME I BEG OF YOU
Answers
Answer: Jody can buy at most 63 sheets of paper
Step-by-step explanation:
you would start by subtracting $18.25 from the total $40, which leaves you with $21.75
you then do 21.75 ÷ (divided by) 0.34
that gives you 63.971, and you can only buy whole sheets of paper, you round to 63 and thats your answer
which statement is true
1.
2.
3.
4.
Answers
Which value is an output of the function?
-6
-2
4
7
Answers
Answer:
the awnser should be. -2
What is this answer?
Answers
Answer:
B is the correct answer
The ice cream vendor ‘s cold box holds 24 ice cream cups. The freezer has 8 cases of ice cream each with 48 cups. How many trips to the freezer will the vendor make if he sells all the ice cream? I have more for my brother.
Answers
Answer:
16
Step-by-step explanation:
24/8=3
48/3=16
