Cody has $7. He wants to
buy at least 4 snacks. Hot
dogs (x) are $2 each.
Peanuts (y) are $1 each.
Which ordered pair is a
solution?
x + y 24
2x + y s7
1,1 or 1,3
Answers
=====================================================
Explanation:
Note that the two shaded regions overlap to form the darker shaded region. The point (1,1) is only in the green region, but not in the blue region. It needs to be in both regions for it to be a solution to the system. In contrast, the point (1,3) is on the boundary of the blue region and in the green region as well. It's a solution point because of this.
Points on the boundary are included because of the "or equal to" as part of the inequality sign. Hence the solid boundary lines rather than dashed boundary lines.
The solution (1,3) means that x = 1 and y = 3 pair up together. It says that Cody can buy x = 1 hotdog and y = 3 packs of peanuts so that he has at least 4 snacks, and he stays within the $7 budget.
Going back to (x,y) = (1,1) for a moment, this isn't a solution because x+y = 1+1 = 2 is not 4 or larger. In other words, he only buys 2 snacks here instead of 4 or more.
Related Questions
Describe the sequence of transformations that maps the congruent figures.
Answers
The sequence of transformations that maps the congruent figures are
Rotation, Reflection and Translation.
How does the transformation of a function happen?The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.
The types of transformations that preserve congruency includes: Rotation Turns a figure around a fixed point.
Since Reflection Flip of figure over a line where a mirror image is created.
And Translation Sliding a shape to a new place without changing the figure.
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8 km
b
17 km
What is the length of the missing leg?
Answers
17^2-8^2=225
sr of 225= 15
:))
What value of x makes the 2 triangles congruent by SAS? Find the length of FE
Answers
Answer:
x = 4
FE = 8
Step-by-step explanation:
Congruent means equal. Notice how both F and C equal 30 degrees while line AC and line DF are both equal to 9 inches. This means we can equal line CB to line FE to find the value of x:
2x = x + 4
Isolate variable x by subtracting both sides by x:
2x - x = x - x + 4
x = 4
Check your work:
2(4) = 4 + 4
8 = 8
Correct
b. 48
C. 36
5. (x+4), (x+12), (x-1) and (x+5) are in proportion. Find the value of x.
b. 12
a. 15
c. 16
d., 20
Answers
Answer:
c
Step-by-step explanation:
Expressing the proportion in fractional form , that is
[tex]\frac{x+4}{x+12}[/tex] = [tex]\frac{x-1}{x+5}[/tex] ( cross- multiply )
(x + 4)(x + 5) = (x + 12)(x - 1) ← expand both sides using FOIL
x² + 9x + 20 = x² + 11x - 12 ← subtract x² + 9x from both sides
20 = 2x - 12 ( add 12 to both sides )
32 = 2x ( divide both sides by 2 )
16 = x → c
Subtract 6 2/5 - 1 1/4. Simplify the answer and write as a mixed number.
Answers
Answer:5 3/20
Step-by-step explanation:
6 8/20 0- 1 5/20= 5 3/20
i rlly need help. can someone pls explain this?
Answers
Answer:
D
Step-by-step explanation:
the y intercept is the part where the slope touches the y axis (up and down)
Please help me!! How do I do this?
Answers
Answer:
I think 12 * 12/ 60 = ?
12*12= 144
144/ 60= ?
Answer:
360°
Step-by-step explanation:
I think
1/2 base ×height
1/2×60×12
30×12
=360
1. JACKSON WALKS 6 BLOCKS IN 4 MINUTES. HOW FAST IS
HE WALKING?
Answers
Answer:
Jackson is walking an average of 1.5 blocks per minute.
Step-by-step explanation:
6 divided by 4 is 1.5
The speed at Jackson for walking 6 blocks in 4 minutes will be equal to 1.5 blocks per minute.
What is an arithmetic operation?The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers. Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.
As per the instructions provided in the question,
The distance (d) traveled by Jackson = 6 blocks
The time (t) taken to travel 6 blocks by Jackson = 4 minutes
[tex]Speed(s)=\frac{Distance(d)}{Time(t)}[/tex]
Put values in the above equation,
s = 6/4
s = 1.5 blocks per minute.
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Express 330 as a product of prime
factors
Answers
Answer:
All Factors of 330: 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165 and 330 Prime Factors of 330: 2, 3, 5, 11Please mark as brainliest if answer is right
Have a great day, be safe and healthy
Thank u
XD
Please answer this for me correctly. THANK YOU!!
Answers
Answer:
45
Hope this helps!
what is 2/5 of 9?
my answer is 18/5 can you simplify improper fractions in this case with these problems or no?
Answers
Step-by-step explanation:
2/5 of 9
= 2/5 × 9 = 18/5
18/5 = 3 3/5
David can run at a consistent rate of 8.2 miles per hour. If he has 3 and a half hours to
run, how far will he run if he runs at that rate?
Answers
Answer:
David can run 28.7 miles in 3.5 hours.
Step-by-step explanation:
8.2mph × 3.5hours = 28.7miles
good luck, i hope this helps :)
Need help with 20y + 60 = 100
Answers
Answer:
2
Step-by-step explanation:
puting right terms together to find value of y
Answer:y = 2
Step-by-step explanation:
IF we are solving for y...
20y + 60 = 100
Subtract 60 from both sides to get y by itself...
20y = 40
divide by 20 to get y...
y = 2
Orlando's sports-card collection features players from four teams, as shown in the table below
Answers
Answer:D
Step-by-step explanation:
Sorry Ik it’s to late lol
PLEASE HELP!!!
△AOC~△BOD. Identify the coordinates of D and the scale factor.
A.) D (0, −7 1/12); 2/5
B.) D (0, −1 1/5); 5/2
C.) D (0, −7 1/2); 5/2
D.) D (0, −1 1/5); 2/5
Answers
The coordinate of D is [tex](0, -1\frac{1}{5})[/tex] and the scale factor is 2/5.
The correct option is D.) D (0, −1 1/5); 2/5
To determine the coordinates of D, we will first determine the length of /OD/
Consider △AOC and △BOD. They are similar triangles.
From the diagram, we can determine the lengths of the sides of each triangle /OB/ = 2 units, /OA/ = 5 units, /OC/ = 3 units and /OD/ is unknown
Since △AOC is similar △BOD, then we can write that
[tex]\frac{/OB/}{/OA/} = \frac{/OD/}{/OC/}[/tex]
∴ [tex]\frac{2}{5} = \frac{/OD/}{3}[/tex]
[tex]/OD/ \times 5 = 2 \times 3[/tex]
[tex]/OD/ \times 5 = 6[/tex]
Then,
[tex]/OD/ = \frac{6}{5}[/tex]
∴ [tex]/OD/ = 1\frac{1}{5}[/tex]
Hence, the coordinate of D is [tex](0, -1\frac{1}{5})[/tex] since D is on the negative side of the y-axis.
For the scale factor,
Scale factor = [tex]\frac{/OB/}{/OA/}[/tex]
Scale factor = [tex]\frac{2}{5}\\[/tex]
Hence, the scale factor is 2/5
The correct option is D.) D (0, −1 1/5); 2/5
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Answer:
D(0, −115); 25
The function ggg models the number of mosquitoes (in millions of mosquitoes) in a certain area as a function of rainfall (in centimeters) in that area. Which of these statements are true? Choose all answers that apply: Choose all answers that apply: (Choice A) A More rainfall relates to more mosquitoes as long as rainfall is less than 2\text{ cm}2 cm2, start text, space, c, m, end text. (Choice B) B More rainfall relates to more mosquitoes as long as rainfall is more than 2\text{ cm}2 cm2, start text, space, c, m, end text. (Choice C) C When there is no rainfall, there are about 111 million mosquitoes. (Choice D) D When there is no rainfall, there are about 222 million mosquitoes.
Answers
Answer:
(Choice A) A More rainfall relates to more mosquitoes, as long as rainfall is less than 2 cm²
Step-by-step explanation:
The given function for the number of mosquitoes, (by analysis of the options) is, g(x) = 4·x - x²
Where;
x = The amount of rainfall
g(x) = The number of mosquitoes in millions
The given function can be expressed as follows;
g(x) = 4·x - x² + 0
The maximum point is given by g'(x) = d(4·x - x²)/dx = 4 - 2·x = 0
At the maximum (turning point), we have;
4 - 2·x = 0
4 = 2·x
x = 4/2 = 2
The level of rainfall that gives the maximum number of mosquitoes is, x = 2 cm²
The number of mosquitoes increases from zero rainfall up to the maximum number of 4 million mosquitoes at 2 cm² rainfall and then decreases to zero as the rainfall increases further more than 2 cm², as shown in the attached graph of the function g(x) that models the number of mosquitoes created with MS Excel
Therefore, the true statement is (Choice A) more rainfall relates to more mosquitoes, as long as (the level of) rainfall is less than (the maximum) 2 cm².
Translate 2 units up and 7 units right.
Answers
Answer:
R: 5,3
P: 2, -1
Q: 4, -1
Step-by-step explanation:
Hope this helped
Answer:
See pictures.
Step-by-step explanation:
Move the triangle 2 up, then 7 to the right.
Can 12:18 be simplified
Answers
Answer:
Yes, 12:18 is simplified to 2:3
Step-by-step explanation:
Answer:2/3 is the simplest form of 12/18.
Step-by-step explanation:
yes, 12/18 can simplified
Solve and graph.
P-3>-8
Answers
Answer:
thw answer is in the photo!
Step-by-step explanation:
hoped I helped!
The value of the inequality is P > -5.
Therefore the correct option is c.
Given is an inequality P - 3 > -8, we need to solve and graph it,
To solve the inequality P - 3 > -8, you can isolate the variable P by adding 3 to both sides of the inequality:
P - 3 + 3 > -8 + 3
Simplifying further:
P > -5
The solution to the inequality is P > -5, which means that P can take any value greater than -5.
To graph this solution on a number line, you can represent all values greater than -5 with an open circle on -5, and shade the region to the right of -5 to indicate the values that satisfy the inequality. Since the inequality does not include -5 itself (due to the strict inequality P > -5), the circle representing -5 should be left open.
Here's a visual representation of the graph (attached)
The shaded portion on the number line represents the values of P that satisfy the inequality P > -5.
Hence the value of the inequality is P > -5.
Learn more about inequality click;
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Find EF in the parallelogram
Answers
Answer:
EF = 13
Step-by-step explanation:
Opposite sides of a parallelogram are of equal lengths (properties of a parallelogram)
Therefore,
EF = DG
x + 3 = 2x - 7 (substitution)
Collect like terms
x - 2x = -3 - 7
-x = -10
Divide both sides by -1
x = -10/-1
x = 10
✔️EF = x + 3
Plug in the value of x
EF = 10 + 3
EF = 13
Cal has a collection of 186 toy farm animals which she no longer 2,5 She code
stee them between her 3 young cousins. How many toys do they receive each?
Answers
Answer:
62 (I guess, if I understand your text correctly)
Step-by-step explanation:
you mean she did not need her toy farm animals anymore and gives all of them evenly to her 3 younger cousins ?
then it is a very simple division : 186 / 3 = 62
do you not know how to divide ?
186 / 3
you take the number on the right and compare it to the first (most left) digit position on the left side and see, if the right side can divide this left position.
so, in our case, 1 / 3. Is that possible ? no. so, the result is 0, and we keep the leftover from the left side (still this "1").
now we attach the next digit (going from left to right) from the left side : 18
and we compare again - can we divide now this left side by the right side ? in our example 18 / 3. is that possible ? yes ! the result is 6. we attach this result to our previous result (0) and get 06 (or simply 6). and now there is nothing left in our intermediate division (18/3 creates no remainder, it is just straight 6).
so, our leftover on the left side is 0, and we attach the next digit (again, going from left to right) on the left side to the leftover : 06 (or simply 6).
and we compare again - can we divide now this left side by the right side ? in our example 6 / 3. is that possible ? yes ! the result is 2. we attach this result to our previous result (06) and get 062 (or simply 62). and now there is nothing left in our intermediate division (6/3 creates no remainder, it is just straight 2).
so, our leftover on the left side is 0, and we attach the next digit (again, going from left to right) on the left side to the leftover : oh, there are no more digits. we are finished !
and we have calculated just by hand or mind without any calculator that 186/3 = 62
3.
In which situation below would you want to use the Explicit Formula instead of the Recursive Formula
a.Find the 4th term when the first term is 7 and the common difference is -2.
b.Find the 7th term when the first term is -1 and the common difference is 10.
c.Find the 7th term when the first term is -1 and the common difference is 10.
d.Find the 11th term when the first term is -3 and the common difference is 4.
Answers
Answer:
b
Step-by-step explanation:
An explicit formula for a sequence allows you to find the value of any term in the sequence. ... A recursive formula for a sequence allows you to find the value of the nth term in the sequence if you know the value of the (n-1)th term in the sequence.
The explicit formula will be best used in finding the 7th term when the first term is -1 and the common difference is 10, the correct option is B.
What is a Recursive formula?A recursive formula is used to determine the nth term when (n-1) th term is given in the series.
The Explicit formula is when any term of the sequence has to be determined on the basis of the first term and the common difference.
The recursive formula just requires one operation, while the explicit formula requires multiple operations,
The recursive formula is limited to determining the consecutive terms while the explicit formula can be used to determine any term of the sequence.
The explicit formula will be best used in finding the 7th term when the first term is -1 and the common difference is 10.
To know more about Recursive Formula
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Fifty shares of Mega Stock cost $212.50. How many shares can you buy with $850?
Answers
Answer:
25
Step-by-step explanation:
Please answer thanks you (:
Answers
Answer:
B
Step-by-step explanation:
I believe it is B because it is the only one that doesnt have x values that repeat and give different answers.
Ex. For a, the x value in the first and third coords gives both 1 and 3 as answers.
Every x has to have a unique y value, so
(2,10) (3,12) is ok, but (2,10) (2,12) is not.
Sorry if this doesnt make sense haha
Help me with these questions (picture) Plsss I will reward brainliest and points
Answers
Answer:
1/4 2/3 and 1/12 sfgjikjhskskshrmsl
Answer:
1) Fill in the Blanks
The First Blank is 1/2 because 1/2 + 1/2 = 1
The Second Blank is 3/4 because 3/4 + 1/4 = 1
The Third Blank is 1/3 because 1/3 + 2/3 = 1
2) Find the LCD
The Least Common Denominator (also known as LCD) is 60
To find this, find the number that each of the denominators can multiply to and have the same one together.
3) Find the length of the final scarf
A full scarf has a length of 150cm
We must use the fragment that is 1/2 this size
150 ÷ 2 = 75
We must use the second fragment which is 3/4 150cm
Divide the scarf into 4 pieces
150 ÷ 4 = 37.5
We need 3 1/4 fragments to = 3/4
37.5 x 3 = 112.5
The final fragment is 1/3 the length of the full scarf
We must divide the scarf into 3 sections
150 ÷ 3 = 50
The three lengths we just found were 75cm, 112.5cm, and 50cm
Add all of the lengths up to find the final length of the last scarf
75 + 112.5 + 50 = 237.5cm
The Final scarf length is 237.5cm
When your doing online and your bestie tells you to not text them because they don't want to get in trouble but then they be texting their online friends all the time and also posting stuff on Twitter.......
Answers
Answer:
Oh..Im so sorry that happened, Thats what you call fake friends
Step-by-step explanation:
14788962389598
where is the 5
Answers
Answer:
The third number from the end :3
Step-by-step explanation:
Hope this helps ^^
Given f(x) = 5x - 7 and g(x) = x² - 3, find f(f(2)).
Answers
Step-by-step explanation:
Given f(x) = 5x - 7 and g(x) = x² - 3, find f(f(2))
One of the legs of a right triangle measures 9 cm and its hypotenuse measures 13 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
Answers
Answer:
9.4
Step-by-step explanation:
Hopefully this explains it well enough, I can go deeper if needed :)
: A box contains 512 grams of cereal. One serving of cereal is 56 grams. How many servings of cereal does the box contain? A. 9 1/4 B. 9 1/8 C. 9 8/56 D. 9 8/512
Answers
Answer:
C. 9 8/56
Step-by-step explanation:
According to the scenario, computation of the given data are as follows,
Box contain = 512 grams
One serving = 56 gram
So, we can calculate the number of serving by using following formula,
Number of serving = Box contain ÷ One serving
By putting the value, we get
Number of serving = 512 ÷ 56
= 9.14 or 9 8/56