Answer:
A book was 53 pages shorter than you expected
Jennifer sold 53 apples.
Andrew spent $53.
Step-by-step explanation:
The question proposed that we should determine which situation can be said to be the opposite of 53. From the listed option, we will realize that the following:
A book was 53 pages shorter than you expected
Jennifer sold 53 apples.
Andrew spent $53.
The above options are the opposite of 53. This is because a book that was shorter than expected will need to be refilled.
Suppose Jennifer has x apples, and She sold 53 apples out of it. It means x = -53, which is the opposite of 53.
Andrew spent $53; let say Andrew had y+$53. After spending $53, he has y = - $53, which is the opposite of 53.
But the temperature, which was 53°F, will still be at that position on the thermometer provided it is not being affected by external conditions.
You are thinking of withdrawing all your funds; $45,000 from your 401 (k) at age 54. The normal tax rate for you would be 28%. The rules for withdrawing funds before the age of 59 1/2 is a 10% penalty. How much would you save if you waited until age 59 1/2?
Until the age of [tex]59.5[/tex] years, the amount saved from the withdrawal of funds is [tex]\$3,600.[/tex]
Used the concept of tax which states that,
A tax is an obligatory payment made by the taxpayer to the government in respect of the income earned in the previous year.
Given values:
Amount of funds: [tex]\$45,000[/tex]
Normal tax rate: [tex]20\%[/tex]
Penalty rate at [tex]59.5[/tex] years: [tex]10\%[/tex]
Step-1; Computation of after-tax amount paid at 54 years:
[tex]A_1= \text{Amount of funds} \times (1 - \text{Tax rate})[/tex]
[tex]= \$45,000 \times (1 - 0.2)[/tex]
[tex]= \$36,000[/tex]
Step-2; Computation of after-tax amount paid at 59.5 years:
[tex]A_2 = \text{Amount of funds} \times (1 - \text{Tax rate}) (1 - \text{Penalty rate})[/tex]
[tex]= \$45,000 \times (1 - 0.20) \times (1 - 0.10)[/tex]
[tex]= \$32,400[/tex]
Step-3; Computation of the amount saved;
[tex]\text{Amount saved} = A_1 - A_2\\= \$36,000 - \$32,400\\= \$3,600[/tex]
Therefore, the amount [tex]\$3,600.[/tex] was saved with the amount of [tex]\$36,000[/tex] paid-in [tex]54[/tex] years and the amount of [tex]\$32,400[/tex] paid-at [tex]59.5[/tex] years.
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√294
A. 7√6
B. 8√3
Which one?
Answer:
√294 = A. 7√6
Explanation:
Factor 49 out of 294 . √
49 ( 6 ) Rewrite
49 as 7 ² . √ 7 ² ⋅ 6
Pull terms out from under the radical.
7 √ 6
He creates paths through the garden along A3, XY, and ZY. Which correctly compares the lengths of the paths? The path along XY is longer than the path along ZY. and the path along ZY is longer than the path along AB. O The path along AB is longer than the path along ZY, and the path along ZY is longer than the path along XY. The path along ZY is longer than the path along XY. and the path along XY is longer than the path along AB The path along ZY is longer than the path along AB and the path along AB is longer than the path along XY
Answer:
A
Step-by-step explanation:
The path along XY is longer than the path along ZY. and the path along ZY is longer than the path along AB.
What is trigonometry?Trigonometry is a branch of mathematics concerned with the relationships between the sides and angles of triangles, as well as the calculations that are based on them.
It's widely used in fields like physics, engineering, and navigation. The sine, cosine, and tangent functions are the three primary trigonometric functions that relate the ratios of a right triangle's sides to its angles.
Now, the two sides making an angle Ф in a triangle will be having the fixed lengths then the length of the third side is proportional to the angle Ф.
Since the opposite angle of XY(79°) is larger than that of YZ(65°), so XY > YZ.
Again the opposite angle of YZ(65°) is larger than that of AB(36°), so YZ > AB.
Since the sides containing those angle are same and they are 8 ft
Therefore, statement A. is correct.
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Your question seems incomplete, the probable complete question is:
He creates paths through the garden along A3, XY, and ZY. Which correctly compares the lengths of the paths? The path along XY is longer than the path along ZY. and the path along ZY is longer than the path along AB. O The path along AB is longer than the path along ZY, and the path along ZY is longer than the path along XY. The path along ZY is longer than the path along XY. and the path along XY is longer than the path along AB The path along ZY is longer than the path along AB and the path along AB is longer than the path along XY
My son, Garrett, is 11 years old and has a piggy bank that he wants to fill. He started with 5 one dollar bills. Every Saturday he earns 3 more dollar bills for chores he’s completed. How many one dollar bills will he have by the end of 10 weeks?
1. Write a function model, M(x), that represents the total number of one dollar bills garret will have in one dollar bills, x
2. Identify the independent and dependent quantity.
3. The domain and range are represented as discrete or continuous?
4.What is a reasonable domain and range for this scenario?
Thanks for the help!
Answer:
1) M(x) = 5 + 3x
2) Dependent variable; 3 dollar bills
Independent variable: chores
3) Range is continuous
Domain is discrete
4) Range: 0 ≤ x ≤ 10
Domain: 5 ≤ M ≤ 35
Step-by-step explanation:
We are told he started with 5 number of $1 dollar bills and that every Saturday, he earns 3 more $1 dollar bill.
Thus, total number of $1 bills earned after x number of Saturdays(weekly) is;
M(x) = 5 + 3x
After 10 weeks, total number is;
M(10) = 5 + 3(10)
M(10) = 35
The dependent variable is the 3 more dollar bills earned each Saturday because it depends on chores he completed. While the independent variable is the chores because it doesn't depend on anything.
After 10 weeks, the range and domain will be;
Range: 0 ≤ x ≤ 10
For the; Domain:
For x = 1, M(0) = 5 + 3(0) = 5
M(10) = 35
Thus;
Domain: 5 ≤ M ≤ 35
The range could be all numbers in the interval from 0 to 10. Thus, it is continuous.
Whereas, the domain doesn't contain all the numbers in the interval from 5 to 35. Thus it is Discrete.
what is value of x , 1x + 2x = 30
Answer:
x = 10
Step-by-step explanation:
1x + 2x = 30
3x = 30
x = 10
In a right triangle, the hypotenuse has endpoints XY, shown on the graph.
On a coordinate plane, line X Y has points (negative 4, 2), (negative 1, negative 3).
If Z represents the third vertex in the triangle and is located in the second quadrant with integer coordinates, what is the length of YZ?
3
4
5
6
Mark this and return
Answer:
5
Step-by-step explanation:
A 2-pound bag of sugar contains 227 one-teaspoon servings and costs $2.49. A batch of muffins uses 1 2 cup of sugar. How many whole batches can you make if you use as much of the sugar as possible? What is the cost of sugar for each batch? (1 cup = 48 teaspoons; do not consider leftover sugar in the cost calculation.) You can make a total of batches at $ per batch.
Answer:
a) 9 whole batches can be made
b) The cost of sugar for each batch = $0.26
Step-by-step explanation:
A 2-pound bag of sugar contains 227 one-teaspoon servings and costs $2.49.
This means:
2 pound bag of sugar = 227 teaspoon servings
2 pounds bag of sugar cost $2.49
We are told that:
A batch of muffins uses 1/2 cup of sugar.
a).How many whole batches can you make if you use as much of the sugar as possible?
(1 cup = 48 teaspoons)
Hence, A batch of muffins = 1/2 cups of sugar = 48 teaspoons of sugar ÷ 2
= 24 teaspoons of sugar
Hence:
24 teaspoons of sugar = 1 batch of muffins
227 teaspoons of sugar = x
Cross Multiply
24 × x = 1 × 227
x = 227/24
x = 9.4583333333 batches of muffins
We are asked to name the number of whole batches that can be made.
Therefore, 9 whole batches of muffins can be made
b) What is the cost of sugar for each batch? (do not consider leftover sugar in the cost calculation.) You can make a total of batches at $ per batch.
Since we are not to consider the leftover sugar in the cost calculation,
1 batch = 24 teaspoons of sugar
9 whole batches =
9 × 24 teaspoons = 216 teaspoons of sugar was used
The left over = 227 - 216 = 11 teaspoons of sugar is left
We know that:
227 teaspoons of sugar = $2.49
216 teaspoons of sugar = x
Cross Multiply
= 216 × $2.49/227
= $2.369339207
24 teaspoons of sugar = 1 batch of muffins
Therefore,
216 teaspoons of sugar =
$2.369339207
24 teaspoons of sugar =
24 × $2.369339207/ 216
= $0.2632599119
Approximately = $0.26
Therefore, the cost of sugar for each batch = $0.26
can someone please help me i begging :(
Answer:
x=-8
Step-by-step explanation:
pls give me brainliest
Answer:
-2x+ 8 = 10.
Simplified answer: 8.
I tried my best.
Step-by-step explanation:
It takes 1.5 gallons of paint to cover the walls in 3 rooms. Write an equation relating the number of rooms r to the number of gallons g. How many rooms can be painted using 9 gallons of paint?
Answer:
18 rooms.
Step-by-step explanation:
Because it takes 1.5 gallons of paint to cover the walls in 3 rooms, if we divide on 3 on each side, we will get 0.5 gallons of paint per room.
The equation is r = 0.5g.
If we apply this formula, and multiply both sides by 18, we will get 18r = 9g.
The answer is 18 rooms.
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A groundskeeper needs grass seed to cover a circular field. 150 feet in diameter. A store sells 50-pound bags of grass seed. One pound of grass
seed covers about 60 square feet of field. What is the smallest number of bags the groundskeeper must buy to cover the circular field?
Answer:
6 bagsStep-by-step explanation:
Area of the field
A = πr²= πd²/4A = 3.14*150²/4 ≈ 17662 ft²Number of pounds
17662/60 = 294 poundsNumber of bags required
294/50 = 5.88 ≈ 6 bagsAnswer:
6
Step-by-step explanation:
This would really help if you answered. I'll set it to a pretty decent amount of points
Answer: Not always the same
Step-by-step explanation:because as its shown every amountof tuna is not the same.
Answer: the price is not always the same/9 pounds
Step-by-step explanation: the price goes up by 10 then by 8 next it will be 6
How many 1-foot-square border tiles do you need to surround a pool that is 10 feet long and 5 feet wide
CMONNN I NEEDDDDD HELP !!!!
Answer:
My answer will be 3.
Step-by-step explanation:
Raymond wants to run 15/16 mile after school. The school’s track is 3/16 mile long. How many laps around the track will Raymond have to run?
Quadratic curve fitting
The table shows the monthly sales (thousands) for a new hair salon since its grand opening in March
Month. 0, 1, 2, 3,. 4,. 5
Sales 5.6, 5.8, 6.2, 6.9, 7.9,. 9.0.
1) Find the best fitting quadratic model.
2) What is the prediction for total sales in September?
Algebra 1 Notes A.11 Quadratic Regression Mrs. Grieser
Name: ________________________________________ Date: ______________ Block: _________
Linear Regression Review
Suppose we have the following points:
1) Draw a scatter plot of the data:
2) What is the line of best fit?
Use the calculator:
Turn on diagnostics (Catalogue: DiagnosticsOn) to view correlation coefficient. The
closer |r| = 1, the better the data fit
<STAT PLOT> Turn plot 1 on, and choose scatter plot, L1, L2
Enter x values in L1
Enter y values in L2
<STAT><CALC><4:LinReg>L1, L2, <VARS><Y-VARS><1:Function><1:Y1> <enter>
Y = ax + b = equation of line of best fit. Equation: ________________________________
Press <ZOOM>< 9:ZoomStat>
Questions: What would we expect the y-value to be for x value 59? 64? 67?
Use the equation or TABLE feature of the calculator to find out…
x = 59, y = ____________, x = 64, y = ___________, x = 67, y = ________
What would we expect the x-value to be for a y value of 2? _________
The line of best fit allows us to make predictions for data that is almost linear.
What if data is not linear but is more like another curve?
Algebra 1 Notes A.11 Quadratic Regression Mrs. Grieser Page 2
Quadratic Curve of Best Fit (Quadratic Regression)
Plot the data (same as linear regression)
Use calculator QUADREG function to find curve equation and predict values.
Calculator regression functions: <STAT><CALC>…
o 5: QuadReg: quadratic regression – finds a quadratic of best fit (y=ax2+bx+c)
Example 1:
The table shows the monthly sales (thousands) for a new hair salon since its grand opening
in March.
Month 0 1 2 3 4 5
Sales 5.6 5.8 6.2 6.9 7.9 9.0
1) Find the best fitting quadratic model. ________________________________
2) What is the prediction for total sales in September? ___________________
3) How do you know that the better model to use a quadratic fit rather than a linear fit?
Example 2:
Mrs. Grieser's class did an experiment by rolling a marble down different length slanted
boards and timing how long it took. The results are shown below:
sec. 0 4.5 11 13.4 10 8.9 14.1 9.5 12.6
cm. 0 10 60 90 50 40 100 45 80
1) Plot the data:
2) What is the quadratic curve of best fit?
3) Based on the graph, how long would it take for the
marble to roll 15 cm?
4) Approximately how far will the marble travel in 3
seconds?
5) How do we know that a quadratic model is better than a linear model for this example?
△PQR is rotated 180° about the origin. What is the coordinate for Q' ?
(3, 2)
(2, -3)
(-3, 2)
(-2, 3)
Part: 2
△PQR is reflected across the y-axis. What is the coordinate for R' ?
(-3, -4)
(-4, 3)
(4, -3)
(3, 4)
Answer:
Part 1:
Q’ = (2, -3)
Part 2:
R’ = (-3, -4)
Hope this helps!
The sum of two consecutive integers is no more than 17. What is the largest possible value for the greater integer?
a. 7 b. 10
C. 9 d. 6
A submarine is situated 400 feet below sea level. If it drops another 250 feet below sea level, what is the new position?
Answer:
-650ft
Step-by-step explanation:
I took a test with a question like that
how do you do 4+1346=? 600x787 and 675dividedby700=
Answer:
How do you do 4+1346=? AnswerL 1350
600x787 and 675dividedby700= 472200 :D
Step-by-step explanation:
Answer:
4+1346=1350 ... 600x787=472200
675÷700=0.96
Find the quotient.
(Idk what it means I’m kinda confused)
Answer:
1 1/3
Step-by-step explanation:
-4/9 ÷ -1/3
Copy dot flip
-4/9 * -3/1
Rewriting
-4/1 * -3/9
simplify
-4/1 * -1/3
Multiply
4/3
Change to a mixed number
1 1/3
Answer:
So the quotient is when you divide so it would be the last one 1 and 1/3
Step-by-step explanation:
-4/9x3/-1(flip the reciprocal)
-12/-9
remove both negatives
simplify and divide both by three and you should get 4/3 which is 1 1/3
please open the link to see math problem
Rachel's backyard pool is being emptied by a pump. The amount of water (W) in the pool in gallons, at any time (t) in hours is given by
the following equation:
W= 1800-300
How many gallons of water are being pumped out each hour? Just fill in the number.
Answer:
If you are saying that 300 gallons of water are being pumped out each hour then it will take 6 hours to pump out all of the water.
Step-by-step explanation:
To find that answer all I did was divide 1800 by 300. I don't know if that is the answer your looking for but I tryed sorry.
How to do this
Evaluate 20+3(8-5)
Answer:
29
Step-by-step explanation:
Use PEMDAS
First, you will do the parenthesis which is 3. 20+3(3)
Next, you will multiply 3 by 3, which is 9. 20+9
Last you will add 20 and 9. 29
Do order of Operations.
Parentheses:
(8-5) which is 3. You now have
20+3(3).
Multiply:
3(3) which gives you 9. Now you have
Add:
20+9. Which gives you 29.
So the answer to this question is 29.
I Hope I explained this good enough, if you have any more questions, ask me.
the meal cost 54.65 the sales tax is 8% of the meal the tip was 18% of the meal and tax there are 5 people in the holcombe family what was the cost per person for the meal
Answer:
Step-by-step explanation:
total meal cost = meal cost + tax cost + tip cost
[tex]\frac{8}{100} *54.65 = cost of sales tax\\\frac{18}{100} * 54.65 = tip cost\\cost of sales tax = .08 * 54.65 = 4.372\\tip cost = .18 * 54.65 = 9.837\\\\total cost = 54.65 + 4.372 + 9.837 = 68.859\\\\since we have 5 members\\\\individual cost = total cost / 5\\=68.859/5\\=13.7718[/tex]
The answer is 10.93
Step by step explanation
Convert to a decimal rounded to the nearest hundredth: 8/11
Answer:
.72 and on going
Step-by-step explanation:
I need help with these I also would like it if you showed your work.
Answer:
1. n=11 2. n=5 3. n=15 4. n=4 5. n=4 6. n=27
Step-by-step explanation:
1. Subtract 2 from 13 to get your answer of 11
2. Divide 15 by 3 to get your answer of 5
3. Multiply both sides by 3 to cancel out the division of 3 and you'll get 30, then divide both sides by 2 to get your answer of 15
4. Add 5 to both sides to cancel out the negative 5 and you'll get 4
5. Subtract 3 from both sides to cancel out the 3 and you'll end up with 2n=8, then you wanna divide both sides by 2 to get your final answer of 4
6. Add 2 to both sides to cancel out the negative 2 and you'll be left with 1/3n=9, next you wanna multiply both sides by 3 to cancel out the 1/3 and you'll get your final answer of 27
Which shows how to solve the equation 3/4x = -6 for x in one step?
Answer:
The first option 3/4(4/3)x=-6(4/3)
Step-by-step explanation:
Divide by 3/4 (so multiply 3/4 by 4/3) to cancel out the 3/4 so that only x is on that side.
Simplify 5(1 + 3)^2.
Answer:
400
Step-by-step explanation:
5(1+3) to the power of 2
5×1=5 5×3=15
(5+15) to the power of 2
5+15=20
20 to the power of 2 = 400
please answer these honestly and take as much time as you need. ty.
Answer:
1) 17/20 2)24 and 1/2 3)terminating 4) 0.8 5)1.8
Step-by-step explanation:
4) 4/5 times both sides by 2 then you get 8/10= 0.8
Answer:
first is 17/20, second is 24 1/2 , third is a terminating decimal, fourth is 0.8, and the fifth is 8.1.
Step-by-step explanation:
hope this helps :)
PLEASE HELP ME IM
RUNNING OUT OF TIME