The situations that can be modeled with an equation are:
1. The sale price of a television is $125 off of the original price.
Let the original price of TV be=x
Sale price = [tex]x-125[/tex]
Let sale price be S so equation is : S= [tex]x-125[/tex]
3. Marco spent twice as much as Owen.
Let Owen spent = x
Then Macro spent = 2x
Let Macro spends $y , So, equation becomes
y = 2x
5. Ben paid a total of $75 for a shirt and a pair of shoes.
Let 'x' represent the cost of a shirt and 'y' represents the cost of a pair of shoes then equation becomes:
[tex]x+y=75[/tex]
Given the functions f(x)= [tex] \frac{1}{x-2} + 1 [/tex] and g(x) = [tex] \frac{1}{x+5} + 9[/tex]
Which statement describes the transformation of the graph of function f onto the graph of function g?
The graph shifts 8 units right and 7 units down.
The graph shifts 8 units left and 7 units up.
The graph shifts 7 units right and 8 units down.
The graph shifts 7 units left and 8 units up.
What makes a parallelogram, a square, a rhombus, a rectangle, a kite and a trapezoid unique?
What values of c and d make the equation true? mc011-1.jpg c = 2, d = 2 c = 2, d = 4 c = 6, d = 2 c = 6, d = 4
The answer is C.
c=6 d=2
Please help What is the value of d?
What is the answer for A?
Charlotte bought packs of hot dogs for $4 each. Eack pack has 8 hot dogs. If she spent $16 how many hot dogs did she get
Jayce’s insurance company pays for 90% of the cost of an ambulance ride, after he pays a $250 deductible. The ambulance ride costs $1400. How much would Jayce pay for an ambulance ride?
The amount which would Jayce pay for an ambulance ride for the claim to the Jayce’s insurance company is $365.
What is deductible amount?The deductible amount is the amount which has to be paid by the customer against an insurance lost.
This amount is subtracted from the insurance amount, which one is claimed against the claim.
Jayce’s insurance company pays for 90% of the cost of an ambulance ride, after he pays a $250 deductible.
As the ambulance ride costs $1400. Thus the ambulance cost after the deductible is,
[tex]C=1400-250\\C=1150[/tex]
Here, the Jayce’s insurance company pays for 90% of the cost of an ambulance ride. Thus, the 10 percent amount should be pay by the Jayce's.
Now, the amount which is left after the insurance company paid to Jayce's is,
[tex]A=\dfrac{10}{100}\times1150\\A=115[/tex]
Hence, the total amount paid by Jayce is,
[tex]A=115+250\\A=365[/tex]
Hence, the amount which would Jayce pay for an ambulance ride for the claim to the Jayce’s insurance company is $365.
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Karel and her family have just moved into a new neighborhood. Karel wants to earn money by baby-sitting for families with young children. She asked other students her age how much they charged for babysitting. The results are listed in the chart below.
LOOK AT CHART!
1. Suppose Karel wants to be the least expensive babysitter in the neighborhood. How much should she charge? This response will be graded for the correct numerical information.
2. Suppose Karel wants to charge the same hourly rate as most of the other baby-sitters. How much should she charge? This response will be graded for the correct numerical information.
3. Suppose Karel wants her hourly rate to be higher than the rate of half of other baby-sitters, but lower than the hourly rate of the rest of the babysitters. How much should she charge? This response will be graded for the correct numerical information.
4. In addition to the babysitting rates charged by others, what might Karel consider when she sets her rates? Respond in complete sentences, not only with calculations. Write as if you are verbally explaining what you are thinking.
Karel should charge $7 per hour to be the least expensive babysitter, $10 per hour to charge the same rate as most other babysitters, and $12 per hour to have a higher rate than half of the other babysitters.
Explanation:1. To be the least expensive babysitter, Karel should charge $7 per hour as it is the minimum rate.
2. To charge the same hourly rate as most other babysitters, Karel should charge $10 per hour as it is the mode or the most frequently occurring rate.
3. To have a higher rate than half of the other babysitters but lower than the rest, Karel should charge $12 per hour as it lies in the middle of the range from $7 to $15.
4. When setting her rates, Karel should consider factors like her experience, qualifications, the number of children she can handle, the neighborhood's average income, and any additional tasks she may be asked to perform.
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What is the probability of drawing a heart from a standard deck of cards on a second draw, given that a heart was drawn on the first draw and not replaced?
A) one over fifty one
B) one over fifty two
C) twelve over fifty one
D) thirteen over fifty two
Answer: C) twelve over fifty one
Step-by-step explanation:
Formula for probability =[tex]\dfrac{\text{Favorable outcomes}}{\text{Total ouctomes}}[/tex]
We know that , a standard deck has 52 cards.
Number of hearts = 13
If a heart was drawn on the first draw and not replaced, then the number of hearts left = 13-1=12 (favorable outcomes)
The total number of cards left = 52-1=51 (total outcomes)
Therefore, the probability of drawing a heart from a standard deck of cards on a second draw, given that a heart was drawn on the first draw and not replaced would be :-
[tex]\dfrac{\text{Number of hearts left}}{\text{Total cards left}}\\\\=\dfrac{12}{51}[/tex]
Hence, the correct answer is option C) twelve over fifty one
Keith had 1 1/2 cups of flour.he used 5 2/3 cups to make bread.How many cups of flour does Keith have left
A family size container of macaroni holds sixteen 3/4 cup servings. A chef prepares meals using 1-cup bowls. How many bowls can the chef prepare from one family sized container?
Answer:
The answer is 12 cups.
Step-by-step explanation:
A family size container of macaroni holds 16 [tex]\frac{3}{4}[/tex] cup servings.
A chef prepares meals using 1-cup bowls.
So, the number of bowls, the chef can prepare from one family sized container is = [tex]16\times\frac{3}{4}[/tex]
= [tex]4\times3=12[/tex] bowls
Therefore, the answer is 12 cups.
The area of a rectangle is 77ft^2 , and the length of the rectangle is 3ft more than twice the width. What are the dimensions of the rectangle ?
Help me I don’t get this!!!
Classify the model as exponential growth or exponential decay. Identify the growth or decay factor AND the percent of increase or decrease per time period.
y=100(1.05)^t
Plz help!
ms.black paid $32 intrest at the rate of 8% on a loan of $200. For how long was the loan?
Find the sum of the first thirty consecutive whole numbers.
The sum of the first thirty consecutive whole numbers can be represented by the following series
[tex] 0+1+2+3+4+....+29\\ \\Sum \; of\; first \; 30\; whole \; numbers\; =\; Sum\; of\; first \; 29\; Natural\; Numbers\\ \\1+2+3+4+...+29 \\ \\ Formula\\ 1+2+3+....+n=\frac{n(n+1)}{2} \\ \\ Substituting\; 29\; for\; n,\; we\; get...\\ \\ 1+2+3+4+...+29=\frac{29(30)}{2}=29 \times 15=435 [/tex]
Conclusion:
The sum of the first thirty consecutive whole numbers is 435.
Answer:
435
Step-by-step explanation:
The gouse method or something.
(29*30)/2=435
what is the solution to the proportion? 3y-8/12 = y/5
Which of the following values could represent the probabilities of complementary events and 28% and 82% and 10% and 80%
1/7and2/7
2/5and3/5
Answer:
2/5 and 3/5
Step-by-step explanation:
Complementary events have probabilities that sum to 100%, or 1.
28+82 = 110; this is not 100.
10+80 = 90; this is not 100.
1/7+2/7 = 3/7; this is not 1.
2/5+3/5 = 1; this is correct.
PLEASE HELP!!!!!
TIME SENSITIVE! Will mark brainliest!
Part 1.] Match the following items.
1. 2, 4, 8, 16, . . ., 64
2. 3, 6, 9, 12, . . .
3. 3 + 9 + 27 + 81 + . . .
4. 3 + 5 + 7 + 9 + . . .
5. 3, -3, 3, -3, 3,-3, . . .
A. arithmetic series
B. finite sequence
C. infinite sequence
D. geometric series
E. alternating sequence
Part 2.]-3, 6, -9, 12, -15, . . .
Which of the following represents the general term for the sequence given?
A. [tex] (-1)^{n} 3^{n} [/tex]
B. [tex] (-1)^{n} 3n[/tex]
C. [tex] (-1)^{n+1}3[/tex]
Part 3.] The first attached picture
A. 35
B. 14
C. 11
Part 4.] The second attached picture
A. 6
B. 9
C. 18
Part 5.] The third attached picture
A. 10
B. 14
C. 28
Part 6.] Which of the following best describes the following set of numbers?
6+8+10+12+...+(4+2n)+...
A. Arithmetic Sequence
B. Geometric Series
C. Geometric Sequence
D. Arithmetic Series
Richard records the weight of his two pets in a table, as shown. After how many weeks were the pets the same weight? What was their weight at that time? Pet 1 Week Weight (grams) 0 400 2 800 Pet 2 Week Weight (grams) 0 500 2 700 At 1 week, they both weighed 600 grams. At 2 weeks, they both weighed 500 grams. At 3 weeks, they both weighed 650 grams. At 4 weeks, they both weighed 1,000 grams.
Answer:
After week 1 both the pets were having same weights of 600 gms.
Step-by-step explanation:
As given in the question weights of two pets are
Week weight of pet 1(in gm) weight of pet 2(in gm)
0 400 500
1 600 600
2 800 700
3 1000 700
In this table weights of the pets at 0 wk and 2 wk has been given only and we have calculated the weights by averaging their weights at 1 and 3 wk.
1). weight at 1 week = (weight at 0 wk + weight at 2 wk)/2
weight of pet 1 = (400+800)/2 = 600 gm
weight of pet 2 = (500 + 700)/2 = 600 gm
2).weight at 2 week = (weight at 1 wk + weight at 3 wk)/2
Therefore weight after 3 week = 2×weight after 2 week - weight after 1 week.
weight of pet 1 = 2×800 - 600 = 1600-600 =1000 gm
weight of pet 2 = 2×700 - 700 = 700 gm.
Now we have got the answer from the table formed that after 1 week both the pets were of same weight 600 gm.
What do you say when you meet a two headed dragon
In literature, when a character meets a two-headed dragon, their response may vary based on the story's context. Dragons often symbolize challenges; thus, a character may respond with caution and respect. This concept, however, is symbolic and represents various elements in different literatures.
Explanation:In literature, the response to meeting a two-headed dragon can vary greatly depending on the context of the story and the characteristics assigned to the creature. Dragons, particularly two-headed ones, often symbolize challenges or adversities. So, one way to respond practically when you meet a two-headed dragon would be with caution and respect.
For example, in fantasy literature, a protagonist might say 'Well met, noble dragon. What do you require of me?' This politeness and respect can often turn a potentially dangerous encounter into an opportunity for dialogue. Remember, in literature, fantastic creatures like headed dragons are often symbolic, representing something else entirely in the context of the story.
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What is the slope of a line parallel to line B?
-1/3
2/5
5/2
5/3
What are the asymptotes of the graph of f(x) ?
when you graph the equation the horizontal line is on Y=0 & 20
answer y=0 & Y=20
Larissa wants to inscribe a regular hexagon in a circle using only a compass and straightedge. She will construct a circle and finds its center. She will then perform the following steps.
Step 1: Plot a point on the circle to represent a vertex of the hexagon. Place the compass on this point and draw an arc to cut the circle. This represents the next vertex of the hexagon.
Step 2: Without adjusting the width of the compass, place the compass on this vertex and draw an arc to create the next vertex.
Step 3: Repeat the process to get a total of 6 vertices.
Step 4: Draw a line between successive pairs of vertices to form the regular hexagon.
What is the error in Larissa's construction?
A. She did not change the width of the compass when constructing the different vertices.
B. She did not set the width of the compass to the radius of the circle.
C. She did not set the width of the compass to the diameter of the circle.
D. She did not construct two perpendicular bisectors to construct two diameters of the circle.
One owl has a wingspan of 1⁄2 foot. A second owl's wingspan is 3⁄4 foot. How much longer is the wingspan of the second owl?
The wingspan of the second owl is 3 inches longer than that of the first owl.
The question asks to find out how much longer the wingspan of the second owl is compared to the first owl. The first owl has a wingspan of 1/2 foot, while the second owl has a wingspan of 3/4 foot. To find the difference in wingspan, we subtract the first owl's wingspan from the second owl's wingspan:
3/4 foot - 1/2 foot = 2/4 foot - 1/2 foot = 2/4 foot - 2/4 foot = 1/4 foot.
Since there are 12 inches in a foot, we can convert this difference to inches:
1/4 foot times 12 inches/foot = 3 inches.
A rental company charges $75 a day and 20 cents a mile for renting a truck. michael rents a truck for 2 days, and his bill came to $238. how many miles did he drive?
Answer:
440 miles.
Step-by-step explanation:
A rental company charges for rent a truck = $75 per day
and the charges per mile = 20 cents
100 cents = 1 dollar
20 cents = [tex]\frac{20}{100}[/tex]
= $0.20
Michael rents a truck for 2 days.
Let Michael drove the truck in 2 days = x miles
and his bill came to $238.
the equation will be : (75 × 2) + 0.20x = 238
150 + 0.20x = 238
0.20x = 238 - 150
0.20x = 88
x = [tex]\frac{88}{0.20}[/tex]
x = 440
Michael drove the truck 440 miles in 2 days.
Which conversion requires multiplication?
A. Deciliter to liter
B. Liter to kiloliter
C. Kiloliter to liter
D. Milliliter to centiliter
Answer:
I believe it is B
Step-by-step explanation:
What is the answer I need help now!!!!
Rectangle FGHJ is transformed according to the rule T(–3, –2)ry = x. What is the y-coordinate of J”?
Answer:
The y-coordinate of J'' is 8.
Step-by-step explanation:
The given rule of transformation is
[tex]T(-3,-2)r_{y=x}[/tex]
It means, first the figure is reflected across the line y=x and then translated by the rule T(-3,-2).
From the given figure it is clear that the coordinates of point J are (10,-6).
If a figure is reflected across the line y=x, then
[tex](x,y)\rightarrow (y,x)[/tex]
The coordinate of point J'.
[tex]J(10,-6)\rightarrow J'(-6,10)[/tex]
If a figure is translate by the rule T(-3,-2), then
[tex](x,y)\rightarrow (x-3,x-2)[/tex]
The coordinate of point J''.
[tex]J'(-6,10)\rightarrow J''(-6-3,10-2)=J''(-9,8)[/tex]
Therefore the y-coordinate of J'' is 8.
what is the answer im so confused
Answer:
Step-by-step explanation:
their income for the month of may is $3500
2% of this income was spent on movies
2% of $3500 = 2/100 × 3500
=0.02 ×3500
= $70
(-7/8)(-3/4)
A:6/7
B:-21/32
C:21/32