Step-by-step explanation:
What is the total holiday debt (no less than $500) that you are trying to pay off and what did you purchase
to accrue (accumulate) that debt?
Which ordered pair (a, b) is the solution to the given system?
2a-5b=1
3a+5b=14
(1, 3)
(3, 1)
(29/5,15)
15,29/5
Answer:
2a - 5b = 1
3a + 5b = 14
Let's solve this system using elimination. Add the equations together to cancel the b-terms, then solve for a.
2a - 5b = 1
3a + 5b = 14
+___________
5a - 0 = 15
5a = 15
a = 3
Next, plug 3 for a into either of the equations and solve for b.
2a - 5b = 1
2(3) - 5b = 1
6 - 5b = 1
- 5b = -5
b = 1
Lastly, check all work by plugging both values for their respective variables.
2a - 5b = 1
2(3) - 5(1) = 1
6 - 5 = 1 -- This is true
3a + 5b = 14
3(3) + 5(1) = 14
9 + 5 = 14 -- This is true
The solution to the system of equations is (3, 1).
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
2. Harry puts $5 in his piggy bank every
week. What type of slope does this
scenario describe? Explain.
Answer:
linear
Step-by-step explanation:
Answer:
Linear slope of 5/1
Step-by-step explanation:
The rate is constant.
Hope that helps
You have been asked to analyze the popcorn recipes of three different local theatres in order to figure out which theatre has the best popcorn. In this case, the "best" popcorn is the most buttery! In your quest to find the best, you meet with each theatre manager individually and ask for the ratio of oil to popcorn kernels that they use in their recipes. Here are their responses.
The manager of Theatre A says that they usually go through about 15 cups of popcorn kernels and about 5 cups of oil each weeknight.
The manager of Theatre B says that they order 18 cups of oil and 72 cups of popcorn kernels each week.
The manager of Theatre C says that their concessions use 6 cups of oil and 32 cups of popcorn kernels on a busy Saturday.
You also ask about the amount of salt each theatre uses in their recipe. Their responses are below.
Theatre A uses 2 cups of salt for every 10 cups of oil.
Theatre B uses cup salt for every cup of oil.
Theatre C uses 1 cup of salt for every 6 cups of oil.
For each of the following ratio problems, use a double number line or an equation to solve. Type your answers as numbers.
If Theatre A uses 27 cups of popcorn kernels, how many cups of oil will they use?
_____cups
Answer: The ratio value of oil to popcorn kernels for theatre C is 6 / 32 = 3 / 16.
Step-by-step explanation: Given that the manager of Theatre A says that they usually go through about 15 cups of popcorn kernels and about 5 cups of oil each weeknight.
Then, the ratio value of oil to popcorn kernels for theatre A is 5 / 15 = 1 / 5.
Given that the manager of Theatre B says that they order 18 cups of oil and 72 cups of popcorn kernels each week.
Then, the ratio value of oil to popcorn kernels for theatre B is 18 / 72 = 1 / 4.
Given that the manager of Theatre C says that their concessions use 6 cups of oil and 32 cups of popcorn kernels on a busy Saturday.
Then, the ratio value of oil to popcorn kernels for theatre C is 6 / 32 = 3 / 16.
Name.
Solve using
Substitution
L
y = 3x + 2
6x - 2y = 8
Answer:
No solution
Step-by-step explanation:
There is no solution to the system of equations y=3x+2 and 6x-2y=8, meaning that they are parallel to each other on a graph, with no points ever intersecting on each other's lines.
How do I solve this? 2(-2w-1.2+7x)
a tube has a radius of 4 inches and a height of 4 inches. what's its approximate volume?
Step-by-step explanation:
that is the same as the volume of a cylinder :
pi×r²×height = pi×4²×4 = pi×64 = 201.0619298... in³
≈ 201 in³
Volume is a three-dimensional scalar quantity. The volume of the tube is 201.0619 inches³.
What is volume?A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
The volume of a cylinder is given by the formula as shown below,
Volume of a cylinder = πr²h
where r is the radius of the cylinder while h is the height of the cylinder.
Given that a tube has a radius of 4 inches and a height of 4 inches. Therefore, the volume of the tube will be,
The volume of the tube = π × R² × h
= π × (4 inches)² × (4 inches)
= 64π inches³
= 201.0619 inches³
Hence, the volume of the tube is 201.0619 inches³.
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Sammy's rabbit can eat 70 pounds of food in 80 days. Part A: At that same rate, how much food will Sammy need to feed his rabbit in 24 days? Part B: How long will it take his rabbit to eat 87.5 pounds of food? Part C: Suppose Sammy buys his rabbit a companion. Together, the rabbits need can eat 95 pounds of food in 65 days. Approximately how much food will Sammy need to buy in order to feed both rabbits inl year ( 365 daya)? Round to the nearest tenth.
Part A
The rabbit can eat 70 pounds of food in 80 days. The unit rate is 70/80 = 0.875 pounds of food per day. Multiply this with the 24 days to get the total amount eaten over that timespan.
24*0.875 = 21
Answer: 21 pounds of food=========================================================
Part B
x = number of days
The rabbit eats at a unit rate of 0.875 pounds per day. After x number of days pass by, the rabbit has eaten a total of 0.875x pounds of food. Set this equal to 87.5 and solve for x.
0.875x = 87.5
x = (87.5)/(0.875)
x = 100
Answer: 100 days=========================================================
Part C
This is is similar to part A, just with different numbers. We could follow those steps to get the answer, but I'll go another route.
Instead, I'll use a proportion to solve.
(95 pounds)/(65 days) = (x pounds)/(365 days)
95/65 = x/365
95*365 = 65*x
34675 = 65x
65x = 34675
x = 34675/65
x = 533.461538
x = 533.5
Answer: 533.5 pounds of foodFind the midpoint of Segment AB if A (-5, 6) and B(1.-3).
Midpoint Formula: (X: + X2, Y + y2)
2 2
Answer:
(-2, 1.5)
Step-by-step explanation:
x-coordinate = ½(1 - 5) = -2
y-coordinate = ½(-3 + 6) = 1.5
Express sin UU as a fraction in simplest terms.
S
T
U
24
18
Answer: \sin U =sinU=
The expression of sinU as a fraction is 12/13
Find the diagram attached.
To get the fraction represented by sinU, we will use the SOH CA TOA identity.
From the diagram;
Hypotenuse = SU = 13Opposite = ST = 12 (angle opposite to m<U)Since sin theta = opp/hyp
SinU = ST/SU
SinU = 12/13
Hence the expression of sinU as a fraction is 12/13
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What is the end behavior of the function f(x)=−3/4x^2?
Answer:
[tex]f(x)\longrightarrow-\infty[/tex], as [tex]x\longrightarrow+\infty[/tex]
Step-by-step explanation:
We can see that the larger the input, the smaller the output
William is trying to pay off his credit card bill. He currently owes $184 on his bill without the interest charge from the credit card company. If the company charges 8% interest on his credit card bill, how much will William need to pay the credit card company so that he will have no payments?
Answer:
$198.72
Step-by-step explanation:
Greg is a novice cook trying to perfect his baked potato recipe. He decides to put
many. potatoes in the oven and invites all his friends over. Every few minutes he
takes a potato out of the oven and asks some friends to rate its taste on a scale
from 1 to 10, where 10 is excellent.
For each taste, Greg writes down the number of minutes the potato spent in the
oven, x, as well as its rating from 1 to 10, y.
The least squares regression line of this data set is:
y = 0.109x + 1.437
What rating does this line predict for a potato spending 67.11 minutes in the oven?
Round your answer to the nearest integer,
Find the equation of the line
Answer:
Y = 4x - 9
Step-by-step explanation:
Hope this helps! If it’s wrong I’m really sorry.
Pls give brainliest!
Answer:
...
Step-by-step explanation:
3. Tom's entered a snowman building contest in which the person who builds the tallest
snowman wins. Currently, the record is 13.4 feet high. If Tom's snowman is currently 9 feet
high, how many more feet does he need to build on, in order to win the competition
tom's snowman has to increase by anything greater than 4.4 ft
Answer:
4.5 feet
Step-by-step explanation:
9+4.5=13.5
13.5>13.4
Which expression is equivalent to (6x + 12)?
Answer:
2(3x + 6)
Step-by-step explanation:
Help me with this question thanks so much
NEED NOW PLEASE.......
Answer:
Integers
Step-by-step explanation:
Integers are the set of whole numbers and their opposites.
2x2 +5x+8
Given x 3-2, the expression
x+2.
is equivalent to
Answer:
x=-1
Step-by-step explanation:
so 3-2 is 1 right so what humber + 2 is 1 well -1 becasue -1 + 1 is 0 and plus 2 would be 1 so its -1 (or x= -1). Hope this helped!
The expression equivalent to the given expression is (2x+1)+6/(x+2)
What is an expression?Expressions in maths are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given is an expression, (2x²+5x+8)/(x+2)
From the given options,
Simplifying (2x+1)+6/(x+2), we get,
= (2x+1)(x+2)+6/(x+2
= (2x²+4x+x+6+2)/(x+2)
= (2x²+5x+8)/(x+2)
Since, we get the main expression by solving the option expression,
Hence, the expression equivalent to the given expression is (2x+1)+6/(x+2)
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A raised flower bed is 40 feet long, 7 feet wide, and 1.2 feet deep. Find the area of the bed and the volume of soil it holds.
Area = length x width
Area = 40 x 7 = 280 square feet
Volume = length x width x depth
Volume = 40 x 7 x 1.2 = 336 cubic feet
Anna categorized her spending for this month into four categories: Rent, Food, Fun, and Other.
If Anna spent a total of $2900 this month, how much did she spend on Rent?
Answer:
.26 * 2900= 754 dollars
Step-by-step explanation:
I'm not sure if it's right.
A polygon with both equal angles and equal sides is called
Answer:
It's called a regular polygon
Answer:
A regular Polygon
Step-by-step explanation:
help. i need itttttt
Answer:
In a parallelogram, opposite sides are the same length. If PR = ST, then the same would happen for the other sides.
Step-by-step explanation:
Only 19 and 21!!!!!
Thank You!!!!
Step-by-step explanation:
19. 4x² - 13x + 3
4x² - 1x - 12x + 3
x(4x - 1) -3(4x - 1)
x-3 4x-1
Work out the area of the shaded shape.
Answer:
61 m²
Step-by-step explanation:
Find the area of the whole rectangle and subtract the part that is cut off
Area = [tex]11 *8 - 9 *(8-5)[/tex]
= [tex]88 - 9*3[/tex]
= [tex]88 - 27[/tex]
= [tex]61[/tex]
Units = m * m or m²
61 m²
-Chetan K
is ( -5, 6) ( -2, 0) ( 0, 6) ( 0, 2) ( 1, -3) a function
Answer:
No
Step-by-step explanation:
No, ( -5, 6) ( -2, 0) ( 0, 6) ( 0, 2) ( 1, -3) do not make up a function. It does not pass the vertical line test when graphed, as there are 2 points, (-5, 6), and (0, 6), that lines up on the same y-value.
2^x+2=4. yall i got this problem and i dont rlly understand how to do it. Hope yall can help me:)))))))))))))))
Answer:
[tex]x=1[/tex]
Step-by-step explanation:
Ok, so we start off with [tex]2^x+2=4[/tex]
Then, we subtract 2 from both sides so that becomes: [tex]2^x+2-2=4-2[/tex]
After that, we simplify to get: [tex]2^x=2[/tex]
Finally, the solution becomes: [tex]x=1[/tex]
Answer:
x=1
Step-by-step explanation:
2^x=4-2
2^x=2
2^x=2^1
x=1
If △CFE≅△PTR, complete each of the following statements:
CE¯¯¯¯¯¯¯¯ ≅
TR¯¯¯¯¯¯¯ ≅
∠P ≅∠
∠F ≅∠
△FEC ≅△
△RPT ≅△
Based on the definition of congruent triangles, the statements will be completed as follows:
CE ≅ PRTR ≅ FE∠P ≅ ∠C∠F ≅ ∠T△FEC ≅ △TRP△RPT ≅ △ECFRecall the following about Congruent Triangles:
The three angles of one triangle is congruent to the three corresponding angles in another triangle if both triangles are congruent triangles.The three sides of one triangle is congruent to the three corresponding sides in another triangle if both triangles are congruent triangles.Given that △CFE≅△PTR, thus:
CE corresponds to PR, therefore CE ≅ PRFE corresponds to TR, therefore FE ≅ TRCF corresponds to PT, therefore CF ≅ PT∠P corresponds to ∠C, therefore ∠P ≅ ∠C∠T corresponds to ∠F, therefore ∠T ≅ ∠F∠R corresponds to ∠E, therefore ∠R ≅ ∠EThus, based on the definition of congruent triangles, the statements will be completed as follows:
CE ≅ PRTR ≅ FE∠P ≅ ∠C∠F ≅ ∠T△FEC ≅ △TRP△RPT ≅ △ECFLearn more about congruent triangles on:]
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Alyssa needs 4 pieces of wood that are 12 inches long to build a box. She bought a length of wood that was 60 inches long. How much extra wood does she have?
Answer:
She has 12 inches wood left
Step-by-step explanation:
Which equation represents this statement?
The product of 1/5 and a number is equal to 1/1 2.
1/5n=1/1 2
1/5÷n=1/1 2
1/5−n=1/1 2
1/5+n=1/1 2
Answer:
answer is B
Step-by-step explanation:
3. A recipe for banana cakes calls for 6 cups of mashed banana to 9 cups of flour. How many cups of
flour per cup of mashed banana does the recipe require?