Answer:
(B) y=2x^2
Step-by-step explanation:
(1/2) and (1/4) make the graph wider
2 makes it narrower
Final answer:
The narrowest graph among the given options is the graph of the equation with the largest coefficient, which is y = 2x² , which is option B.
Explanation:
The width of the parabola's graph is determined by the coefficient of the x² term in a quadratic equation of the form y = ax². The larger the absolute value of coefficient a, the narrower the parabola. Therefore, we can compare the coefficients in the given equations:
y = x² has a coefficient of 1.
y = 2x² has a coefficient of 2, which makes it narrower than the first equation.
y = 1/2x² has a coefficient of 1/2, which makes it wider than the first equation.
y = 1/4x² has a coefficient of 1/4, which makes it the widest among all.
Consequently, the graph of equation B, y = 2x², is the narrowest because it has the largest coefficient.
Mrs.Gunn makes one costume in 3hours and 20 minutes. How long will it take her to make 6 costumes for a school play?
Answer:
20 hours
Step-by-step explanation:
We can change the 3 hours and 20 minutes to "minutes" instead of hours:
1 hour is 60 minutes. So 3 hours is 60 * 3 = 180 minutes.
Add the 20 : 180 + 20 = 200 minutes for one costume.
Multiply by 6 for 6 costumes: 200 * 6 = 1200.
So 1200 minutes or 1200/60 = 20 hours to make 6 costumes
Trina and Jessie went on vacation to Hawaii. Trina went scuba diving and reached an elevation of -85.6 meters. Jessie went hand gliding and reached an altitude of 87.9 meters. Write and solve an equation to find the distance between Trina and Jessie.
Answer:173.5
Step-by-step explanation:87.9+85.6 =173.5
you have to use absolute value to turn them both positive
Hope this helps
Any suggestions or answers
Answer:
a. Triangular prism
b. (Perimeter of base×height) +2(base area)
c. Total surface area
[tex] = 11(3 + 4 + 5) + 2( \frac{1}{2} )(3)(4) \\ = 11(12) + 3(4) \\ = 132 + 12 \\ = 144 \:{cm}^{2} [/tex]
The reason why we multiply the perimeter of the base by the height is because we are trying to find the area of each of the rectangular sides of the prism. (length×breadth)
what is 5% simple interest for one year on $575?
Answer:
Step-by-step explanation:
Simple interest I = P×R×T/100
P = $575
T = 1year
R = 5%
I = $(575 × 5 × 1)/100
I = $ 28.75
the product of 3 and m
factor 1/2 out of 1/2x - 33/2
Answer:
Step-by-step explanation:
1/2x-33/2=1/2(x-33)
The process of factoring 1/2 out of the equation 1/2x - 33/2 involves dividing each term in the expression by 1/2. This process yields the result x - 33.
Explanation:To factor 1/2 out of the expression 1/2x - 33/2, you perform the factoring by dividing every term in the expression by 1/2. In mathematics, factoring is a crucial concept and is widely used in simplifying expressions, solving quadratic equations, and multiple other scenarios. So, the factoring works as follows:
Divide the term 1/2x by 1/2. This results in x. Divide the term 33/2 by 1/2. This results in -33.
Hence, when you factor 1/2 out of 1/2x - 33/2, the result is x - 33.
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Ms. Killikelly added 33 and 48 by first
taking 2 from 33 and adding the 2 to 48
making 50. She likes making friendly
numbers when adding! What does she now
need to add to 50 to find the sum?
Answer:
31+2+48=31+50
30+50+1=81
Step-by-step explanation:
Ms. Killikelly is trying to add two 2-digits numbers by making the groups of tens
So she first tried to make 48 as 50 (i.e. group of five tens) by adding digit 2 of the number 33 to the number 48.
Now she needs to add 31 and 50. She needs to add three groups of tens (i.e. 30) with five groups of tens (i.e. 50) and then add 1(i.e. the remaining 1 of 31) as following
:
[tex]10+10+10+10+10+10+10+10+1=30+50+1=81[tex]
(because 30=10+10+10 and 50=10+10+10+10+10)
OR simply as follow
30+50+1=81
Solve for x if DEFG is a parallelogram
3/8s of the students in Ms Mull’s class ride the bus. If there are 24 students in the class how many students ride the bus?
Answer:
9 students ride the bus.
Step-by-step explanation:
First you take the amount of students which is 24 and divide the denominator which is 8. then you would get 3, meaning 1/8 = 3 students. Now you would multiply the 3 students making one 8 by three ( because there are 3/8 students taking the bus, and you would get 9 students.
Final answer:
To find how many students ride the bus in Ms Mull's class, multiply the fraction of bus riders (3/8) by the total number of students (24), resulting in 9 students who ride the bus.
Explanation:
The question asks to determine how many students in Ms Mull’s class ride the bus, given that 3/8 of the students use the bus and there are 24 students in total. To find the number of students who ride the bus, multiply the total number of students by the fraction that represents the bus riders.
Identify the total number of students: 24.
Calculate 3/8 of 24:
(3/8) × 24.
Multiply: 3 × 3 = 9 (since 24/8 = 3).
Conclude that 9 students in Ms Mull’s class ride the bus.
Celinda and Elsa deliver a 24-minute presentation. They each present for the same amount of time. For how mar
does each student present?
6 minutes
8 minutes
12 minutes
14 minutes
Answer: 12 minutes
Step-by-step explanation: Since there are 2 people and 24 minutes total, you have to divide the total time by the amount of people. The equation will be 24=2x, so divide 24 by 2 and you get 12
One morning, a diner chef had 176 breakfast orders. The circle graph shows the types of orders. About how many orders were for eggs? A circle graph titled Breakfast Orders. The graph has four sectors. The sector labeled Waffles has a value of 28%. The sector labeled Eggs has a value of 43%.The sector labeled Pancakes has a value of 10%. The sector labeled Cereals has a value of 19%. a) 133 b)119 c) 76 d)43
Answer:
76
Step-by-step explanation:
Given that in one morning, a diner chef had 176 breakfast orders.
Now, a circular graph shows the types of orders and it shows that 43% of the total labeled as the Eggs order.
We have to find the number of orders were there for eggs.
Now, it will be 43% of total breakfast orders i.e. 176.
Hence, it was [tex]176 \times \frac{43}{100} = 75.68[/tex] ≈ 76 (Answer)
To find the quantity of egg orders, we multiply the total number of orders (176) by the percentage of orders for eggs (43%). The result, 75.68, is rounded to the nearest whole number to get 76 orders.
Explanation:The question is about calculating a certain percentage of the total number of breakfast orders. Given that the total number of orders is 176 and the percentage of orders that were for eggs is 43%, we can calculate the number of egg orders by multiplying 176 by 43% (or 0.43 as a decimal).
To calculate this, take the total number of breakfast orders and multiply it by the percentage of orders that were for eggs. In this case, that would be 176 (the total orders) multiplied by 0.43 (the percentage of orders made up of eggs).
Here's how to calculate it: 176 * 0.43 = 75.68 Because we can't really have a fraction of an order, we'll round to the nearest whole number, which gives us 76 orders.
Therefore, the answer is c) 76.
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1a.) Write an expression that represents the area of a circle with a radius of 7 units? (1 point)
b. Using your expression, solve for the area of a circle with a radius of 7 units. (1 point) PLEASE HELP PLEASE WILL MARK BRAINLIEST AND GIVE POINTS
Final answer:
To find the area of a circle with a radius of 7 units, use the formula A = πr². Substitute 7 for r to get A = π(7²), which calculates to approximately 153.93804 square units. We round it to 150 square units, to match the significant figures of the radius.
Explanation:
The expression representing the area of a circle with a radius of 7 units is A = πr², where 'A' is the area and 'r' is the radius of the circle. To solve for the area with a radius of 7 units:
Substitute the radius (7 units) into the expression: A = π(7²).
Square the radius: 7² = 49.
Multiply by π (approximately 3.14159): A = π(49) or A ≈ 3.14159 × 49.
Calculate the area, which gives approximately 153.93804 square units.
Since the radius is given in two significant figures, you should express the area in two significant figures: A ≈ 150 square units.
Homework counts as 10%, quizzes as 20% and tests as 70%. If the homework grade is 92, quiz grade is 68 and test grade 81 what’s the final grade?
Answer:
[tex]Final\ grade=79.5[/tex]
Step-by-step explanation:
[tex]Homework\ grade=92\\\\quiz\ grade=68\\\\Test\ grade=81\\\\Final\ Grade=10\%\ of\ homework\ grade+20\%\ of\ quizzes\ grade+70\%\ of\ test\ grade\\\\Final\ Grade=\frac{10}{100}\times 92+\frac{20}{100}\times 68+\frac{70}{100}\times 81\\\\Final\ grade=0.1\times 92+0.2\times 68+0.7\times 81\\\\Final\ grade=9.2+13.6+56.7\\\\Final\ grade=79.5[/tex]
Final answer:
The final grade, calculated by weighting the individual grades for homework, quizzes, and tests, and then applying standard rounding rules, would be a rounded grade of 80.
Explanation:
To calculate the final grade based on the given weights, multiply each individual grade by its respective percentage and then add the results together. Here's a step-by-step calculation:
Homework: 92 (weight 10%) -> 92 x 0.10 = 9.2
Quizzes: 68 (weight 20%) -> 68 x 0.20 = 13.6
Tests: 81 (weight 70%) -> 81 x 0.70 = 56.7
Add these results together to get the final grade:
9.2 (Homework) + 13.6 (Quizzes) + 56.7 (Tests) = 79.5
Using standard rules for rounding, 79.5 would be rounded to 80, which is typically a 'B' grade.
A problem states: "There are 5 more girls than boys at the party. There are 27 children at th
party in all. How many boys are there at the party?"
Let b represent the number of boys.
Which expression represents the number of girls?
b+ 5
5-b
b.5
b-5
Answer:
Option A, b + 5
Step-by-step explanation:
Step 1: Determine the equation to find the amount of boys
b + (b + 5) = 27
b: represents boys
b + 5: represents girls where they equal 5 more than boys
Answer: Option A, b + 5
The following formula is used to calculate the monthly payment on a personal loan. P = P V times StartFraction i over 1 minus (1 + i) superscript negative n EndFraction In this formula, n represents the _____ . a. number of periods over which interest is calculated on the loan b. number of applicants for the loan c. number of years it will take to pay the loan back d. number of dollars the loan is for
Answer:
a. number of periods over which interest is calculated on the loanStep-by-step explanation:
The equation is:
[tex]P = PV\times \frac{i}{1-(1 + i)^{-n}}[/tex]
Where,
PV is the present value or the amount of the loan.i is the interest rate per period and is calculated dividing the yearly percent rate by 100 and by the number of periods in a year.n is the total number of periods and is calculated as the product of the number of periods in a year times the number of years.For example, to calculate the montly payment of a $30,000 loan to be paid in 10 years, at 8% compounded monthly, you use>
PV = 30,000i = (8 /100) / (12) = 0.08/12 ≈ 0.006667n = 10 years × 12 months/year = 120 months = 120 periods.Hence, n represents number of periods over which interest is calculated on the loan.
Answer:
to sum it up its A
Step-by-step explanation:
what is the solution to y=6x+25 y=12x-9
Answer:
x=17/3, y=59. (17/3, 59).
Step-by-step explanation:
y=6x+25
y=12x-9
--------------
6x+25=12x-9
12x-6x-9=25
6x-9=25
6x=25+9
6x=34
x=34/6=17/3
y=12(17/3)-9=4*17-9=68-9=59
I WILL GIVE BRAINLIEST
Find the reciprocal of -1 1/12
Answer:
-12/13
Step-by-step explanation:
What is 78 1/3 as a fraction
Answer:235/3
Step-by-step explanation:
Two hundred and thirty five over three as an imperfections fraction
Answer:
235/3
Step-by-step explanation:
78 * 3 from denominator which equals 234 + 1 from the numerator.
What is negative 3/11 as a decimal
Answer: - 0.2727
Step-by-step explanation:
1. $239 television; 10% discount 2. $72 game; 20% discount
3. $18.95 football; 15% discount 4. $10.99 CD; 25% discount
5. $149 MP3 player; 40% discount 6. $213 ski jacket; 30% discount
7. $595 refrigerator; 20% discount 8. $64 video game; 25% discount
9. $119 croquet set; 50% discount 10. $14.99 clock; 10% discount
11. A radio is on sale for $50. If this price represents a 10% discount from the original price, what is the original price to the nearest nickel? Hint: need to use a proportion to find the whole.
12. A box of laundry detergent is on sale for $6.50. If this price represents a 40% discount from the original price, what is the original price to the nearest cent?
13. Determine the price of a $35 basketball that is on sale for 50% off the regular price.
14. Dominic bought a new alarm clock that was on sale for $18.75. If this price represents a 30% discount from the original price, what is the original price to the nearest cent?
15. Michael bought a new fishing rod. The regular price of the fishing rod was $125.99. He bought it on sale with a 15% discount. Sales tax of 3% is applied to the discounted total. What was the sale price with tax of Michael’s fishing rod to the nearest cent?
16. Jaylynn was buying new mascara. She bought it on sale for $5.56. If the price represents a 20% discount from the original price, what is the original price to the nearest cent?
Please help! It is due TOMORROW!!! :[I] HELP!!
These are 16 questions and 16 answers
Answer:
See below and the attachment.Explanation:
From 1 to 10, find the sale price to the nearest cent:
1. $239 television; 10% discount
[tex]Sale\text{ }price=Orignal\text{ }price-discount\\ \\ Sale\text{ }price=\$239-10\%\times \$239=\\\\ Sale\text{ }price=\$239-0.10\times \$239=\\\\ Sale\text{ }price=\$239-\$23.9=\$215.10[/tex]
2. $72 game; 20% discount
You can also multiply by the factor (1 - % discount);
For instance for 20% discount, the factor is 1 - 20% = 1 -0.20 = 0.80. Which means that you can multiply the original price by the factor 0.80 to get the sale price:
[tex]Sale\text{ }price=Orignal\text{ }price\times factor\\ \\ Sale\text{ }price=\$72\times(1-0.20)=\\\\ Sale\text{ }price=\$72\times0.80=\\\\ Sale\text{ }price=\$57.60[/tex]
3. $18.95 football; 15% discount
[tex]Sale\text{ }price=Orignal\text{ }price\times factor\\ \\ Sale\text{ }price=\$18.95\times(1-0.15)=\\\\ Sale\text{ }price=\$18.95\times0.85=\\\\ Sale\text{ }price=\$16.11[/tex]
4. $10.99 CD; 25% discount
[tex]Sale\text{ }price=Orignal\text{ }price\times factor\\ \\ Sale\text{ }price=\$10.99\times(1-0.25)=\\\\ Sale\text{ }price=\$10.99\times0.75=\\\\ Sale\text{ }price=\$8.24[/tex]
5. $149 MP3 player; 40% discount
[tex]Sale\text{ }price=Orignal\text{ }price\times factor\\ \\ Sale\text{ }price=\$149\times(1-0.40)=\\\\ Sale\text{ }price=\$149\times0.60=\\\\ Sale\text{ }price=\$89.40[/tex]
6. $213 ski jacket; 30% discount
[tex]Sale\text{ }price=Orignal\text{ }price\times factor\\ \\ Sale\text{ }price=\$213\times(1-0.30)=\\\\ Sale\text{ }price=\$213\times0.70=\\\\ Sale\text{ }price=\$149.10[/tex]
7. $595 refrigerator; 20% discount
[tex]Sale\text{ }price=Orignal\text{ }price\times factor\\ \\ Sale\text{ }price=\$595\times(1-0.20)=\\\\ Sale\text{ }price=\$595\times0.80=\\\\ Sale\text{ }price=\$476.00[/tex]
8. $64 video game; 25% discount
[tex]Sale\text{ }price=Orignal\text{ }price\times factor\\ \\ Sale\text{ }price=\$64\times(1-0.25)=\\\\ Sale\text{ }price=\$64\times0.75=\\\\ Sale\text{ }price=\$48.00[/tex]
9. $119 croquet set; 50% discount
You should not have problems with this: 50% discount means that you will pay half the price.
Hence, the sale price is:
[tex]Sale\text{ }price=Orignal\text{ }price/2 \\\\ Sale\text{ }price=\$59.50[/tex]
10. $14.99 clock; 10% discount
[tex]Sale\text{ }price=Orignal\text{ }price\times factor\\ \\ Sale\text{ }price=\$14.99\times(1-0.10)=\\\\ Sale\text{ }price=\$14.99\times0.90=\\\\ Sale\text{ }price=\$13.49[/tex]
11. A radio is on sale for $50. If this price represents a 10% discount from the original price, what is the original price to the nearest nickel? Hint: need to use a proportion to find the whole.
First note that if the discount is 10%, the sale price is 100% - 10% = 90% of the original price.
Let's set the proportion that represents the proportionality between the two ratios, starting with the fact that $ is the 90% and original price is the 100% (the whole part):
First ratio: $50/90Second ratio: x /100Proportion: first ratio = second ratio[tex]\$50/90=x/100[/tex]
Solve for x:[tex]x=100\times\$50/90=\$55.55[/tex]
Hence, the original price is $55.55
12. A box of laundry detergent is on sale for $6.50. If this price represents a 40% discount from the original price, what is the original price to the nearest cent?
Use the same hint used in the question above: set a proportion.
Remember a 40% discount means that the sale price is 60% of the original price:
[tex]\$6.50/60=x/100\\ \\ x=100\times\$6.50/60=\$10.83[/tex]
13. Determine the price of a $35 basketball that is on sale for 50% off the regular price.
Again, 50% discount means that the sale price will be half of the original price, or the original price will be double of the sale price.
Here, the original price is $35, hence the sale price is $35/2 = $17.50
14. Dominic bought a new alarm clock that was on sale for $18.75. If this price represents a 30% discount from the original price, what is the original price to the nearest cent?
Since the price is after a 30% discount, the sale price is a 70% of the original price, and you set the proportion:
[tex]\$18.75/70=x/100[/tex]
Solve for x:
[tex]x=100\times\$18.75/70=\$26.79[/tex]
15. Michael bought a new fishing rod. The regular price of the fishing rod was $125.99. He bought it on sale with a 15% discount. Sales tax of 3% is applied to the discounted total. What was the sale price with tax of Michael’s fishing rod to the nearest cent?
First find the the sale price after the 15% discount:[tex]\$125.99\times(1-0.15)=\$125.99\times0.85=\$107.09[/tex]
Now add the 3% tax:[tex]\$107.09\times1.03=\$110.30[/tex]
Hence, the sale price with tax is $110.30
The last answer (# 16) is in the attached file, since this already exceeds the number of characters allowed.
Which nation has a command economy?
O Cuba
O Norway
South Korea
o the United States
Answer:
Cuba
Step-by-step explanation:
Suppose point P(4, -9) is translated according to the rule (x,y)→(x+3,y-2). What are the coordinates of P'? Explain.
The coordinates of P' is [tex](7,-11)[/tex]
Explanation:
The coordinates of Point P is [tex](4,-9)[/tex]
It is given that the point P is translated according to the rule,
[tex]$(x, y) \implies(x+3, y-2)$[/tex]
Now, substituting, the values for x and y, we get,
[tex](4,-9)\implies(4+3,-9-2)[/tex]
Adding the values, we get,
[tex](7,-11)[/tex]
Thus, the coordinates of P' is [tex](7,-11)[/tex]
Mr. Spencer sells furniture. He earned $225 for selling 5 sofas. Mr. Spencer earned $300 for selling 8 sofas. Which of the following equations represents this situation, where s represents the number of sofas Mr. Spencer sold and e represents the amount he earned?
e = 45s+100
e = 25s+100
e = 45s
e = 35s
First divide the commission by the number sold:
225/5 = 45
300/8 = 37.5 since the commission is a different amount it is not just multiplication so the last two answers are not correct.
Since for 5 the commission was 45 but for 8 it was less than 45, the equation can’t use 45 as a multiplier
The answer has to be E= 25s + 100
2019 Chapter Sprint Round, #20
Jones is chasing a car 800 meters ahead of him. He is on a horse moving at 50 km/h. If Jones catches up to the car in 4 minutes, how fast was the car moving?
Answer:
[tex]Speed\ of\ car=38\ km/h[/tex]
Step-by-step explanation:
Distance Covered by Horse:
[tex]Speed\ of\ horse=50\ km\h=50\times \frac{1000}{60}\ meter/ minute\\\\Speed\ of\ horse=\frac{2500}{3}\ meter/minute\\\\Distance\ covered\ in\ 4\ minutes=speed\times time=\frac{2500}{3}\times 4\\\\Distance\ covered\ in\ 4\ minutes=\frac{10000}{3}\ meters\\\\[/tex]
Distance covered by Car:
[tex]Let\ speed\ of\ car=x\ meter/minute\\\\time=4\ minutes\\\\Distance\ covered=speed\times time=4\times x=4x[/tex]
[tex]Distance\ covered\ by\ horse=Distance\ covered\ by\ car+800\\\\\frac{10000}{3}=4x+800\\\\4x=\frac{10000}{3}-800\\\\4x=\frac{7600}{3}\\\\x=\frac{7600}{3\times 4}\ meter/minute\\\\x=\frac{7600}{3\times 4}\times \frac{60}{1000}\ km/h\\\\x=38\ km/h[/tex]
Final answer:
Jones' horse travels at 833.33 meters per minute, and in 4 minutes it covers 3333.32 meters. The car travels 2533.32 meters in the same time, giving it a speed of 633.33 meters per minute or 38 km/h.
Explanation:
To find out how fast the car was moving, we can begin by converting Jones' speed into meters per minute because the distance is given in meters and time in minutes. Jones moves at 50 km/h which is approximately 833.33 meters per minute (since 50,000 meters in 60 minutes).
Jones catches up to the car in 4 minutes, which means he covers the 800-meter gap plus however far the car travels in that same time. In 4 minutes, Jones travels 4 minutes * 833.33 meters/minute = 3333.32 meters. Therefore, the car must have traveled 3333.32 meters - 800 meters = 2533.32 meters in 4 minutes.
We can then calculate the car's speed by dividing the distance it traveled by the time it took: 2533.32 meters / 4 minutes, which gives us 633.33 meters per minute. To convert this back into kilometers per hour, we multiply by 60 minutes and divide by 1000 meters to get the speed of the car in km/h. This results in 38 km/h as the car's speed.
Irwin purchased a $195,000 home with a 30-year mortgage at
5.55%. If makes a $1500 monthly mortgage payment, how
many months early will he pay off his mortgage?
A. 224 months
B. 127 months
C. 136 months
D. 160 months
Loretta is a single mom with two kids. In 2009 her gross income was $61,840. She filed
her taxes as Head of the Household and claimed herself and her 2 children. Using the tables
above find Loretta's taxable income.
Answer:
$7300
Step-by-step explanation:
Loretta's taxable income in 2009 is $42,540. Calculation involves subtracting allowable deductions from gross income.
Explanation:Loretta's taxable income can be calculated by subtracting her allowable deductions from her gross income. As Head of the Household, Loretta is eligible for a higher standard deduction compared to single individuals. For tax year 2009, the standard deduction for Head of the Household was $8,350. Loretta can also claim deductions for herself and her two children. The personal exemption for each individual was $3,650 in 2009. Therefore, Loretta's total deductions would be $8,350 (standard deduction) + $3,650 (personal exemption for herself) + $3,650 (personal exemption for child 1) + $3,650 (personal exemption for child 2) = $19,300.
To find Loretta's taxable income, we subtract her total deductions from her gross income: $61,840 - $19,300 = $42,540. Therefore, Loretta's taxable income is $42,540 in 2009.
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What numbers describes the values of the square root of 215
Answer:
The value in decemal form would be 14.66287829 or 14.66287
Step-by-step explanation:
√ 215
What is the answer for the question
Answer:
200.52 m²
Step-by-step explanation:
A = 12² + π·6²/2
= 144 + 36π/2
= 144 + 18×3.14
= 144 + 56.52
= 200.52 m²
simplify 2/3(3x+6)-3
Answer:
Baked Potato
Step-by-step-explanation:
Go ahead to the nearest grocery or supermarket, and buy a plain potato, go back home and take the plastic off of it, put it in the microwave on it's side for around 6 or 7 minutes, depending how burnt you like it, 6 is normal, 7 is a little bit burnt. Take it out with an oven mitt, as it will be very hot, and flip it over on the other side and put it in the microwave on the side for that many minutes as you did before. After the timer, take it out with something on your hands to protect them, then slit the middle with a knife, and add some butter and mash it around, and enjoy!