Louann and Carla received equal scores on a test made up of multiple choice questions and an essay. Louann got 14 multiple choice questions correct and received 24 points for her essay. Carla got 16 multiple choice questions correct and received 14 points for her essay.
How many points was each multiple choice question worth?
Which of the following numbers is irrational ??please help !!
Which integers are greater than -3 and less than 0?
Solve the open sentence. –1 ≤ n + 2 ≤ 6
A) n ≥ –3 and n ≤ 4
B) n ≥ 3 and n ≤ –2
C) n ≤ 1 and n ≤ 6
D) n ≤ –3 and n ≤ 2
The solution to the given open sentence is n ≥ –3 and n ≤ 4. The correct option is A) n ≥ –3 and n ≤ 4
InequalitiesFrom the question,
We are to solve the open sentence –1 ≤ n + 2 ≤ 6
From the given inequality, we can deduce that
–1 ≤ n + 2
Solving for the variable, n
-1 -2 ≤ n
-3 ≤ n
Then,
n ≥ -3
We can also deduce that,
n + 2 ≤ 6
Solve for n by collecting like terms
n ≤ 6 -2
n ≤ 4
Hence, the solution to the given open sentence is n ≥ –3 and n ≤ 4. The correct option is A) n ≥ –3 and n ≤ 4
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Machine A produces 500 items per hour. Machine B produces 400 items per hour. Working together, the two machines produce 2250 items in t hours. Which equation can be used to find the value of t?
To find the value of t, set up a proportion using the rates of production for the machines. The equation is (500 + 400)t = 2250. Simplify the equation and solve for t to find that t = 2.5 hours.
Explanation:To find the value of t, we need to determine how long it takes for the two machines to produce 2250 items together. We can set up a proportion to solve for t using the rates of production for each machine. The proportion is:
(500 + 400)t = 2250
Simplifying the equation, we get:
900t = 2250
Dividing both sides by 900, we find that:
t = 2250/900 = 2.5 hours
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A formula that approximates real-world phenomena is call a/an
Dudley is biking. He wants to cover 40 miles. If he travels 30 miles every 2 hours, what is the equation of a line that models y, the number of miles he has left to travel, after biking x hours?
Answer:
Equation of a line that models y is:
y=40-15x
Step-by-step explanation:
Dudley wants to cover 40 miles.
If he travels 30 miles every 2 hours
in 2 hours he covers 30 miles
i.e. 1 hour he covers 15 miles
Miles he is left with after 1 hour=40-15
Miles he is left with after 2 hours=40-15-15=40-15×2
Miles he is left with after x hours of biking=40-15x
If y represents the number of miles he has left to travel, after biking x hours
then, y=40-15x
Hence, equation of a line that models y is:
y=40-15x
Answer:
It is y = -15x + 40
Step-by-step explanation:
Pete wants a loan of $1,500. Which of these terms describes the money he wants to borrow?
1. (Principal)
2. (Collateral)
3. (Credit)
Principal amount describes the money which he wants to borrow.
What is Simple interest?
A quick and easy method of calculating the interest charge on a loan is called a Simple interest.
Given that;
Pete wants a loan of $1,500.
Now,
Since, We know that;
The principal amount describe the money to borrowed.
Thus, Principal amount describes the money which he wants to borrow.
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Jeanie sells M&Ms out of her giant bag at 4 for 5 cents. The machine at the store sells you 9 for 25 cents. Which is the better deal for you? Show your work. Justify your answers in the space below
Tom sells baseball cards at 10 for 35 cents. Is that a better deal than 12 for 40 cents? Prove your thinking.
The hardware store sells sparklers for the 4th of July. They charge 19 cents a piece. The fireworks stand charges 85 cents for four. Which is the better deal? How can you tell?
Frosted flakes has 11 grams of sugar in each 1 ounce serving. Raisin Bran has 13 grams of sugar in each 1.4 ounce serving. Which one has less sugar from an ounce of cereal? How can you tell for sure? Prove your answer.
Answer:
1.
Jeanie sells M&Ms out of her giant bag at 4 for 5 cents.
Each piece of M&Ms cost = [tex]\frac{5}{4}=1.25[/tex] cents
The machine at the store sells you 9 for 25 cents.
Each piece costs = [tex]\frac{25}{9}=2.78[/tex] cents
Hence, Janine is selling at a lower price. Hers is a better deal.
2.
Tom sells baseball cards at 10 for 35 cents.
Per card costs = [tex]\frac{35}{10}=3.5[/tex] cents
The second deal is 12 for 40 cents.
Per card costs = [tex]\frac{40}{12}=3.33[/tex] cents
Hence, 2 for 40 cents is a better deal.
3.
The hardware store sells sparklers for the 4th of July. They charge 19 cents a piece.
The fireworks stand charges 85 cents for four.
Per piece cost = [tex]\frac{85}{4}=21.25[/tex] cents cents
Hence, The hardware store's deal is a better deal.
4.
Frosted flakes has 11 grams of sugar in each 1 ounce serving.
Raisin Bran has 13 grams of sugar in each 1.4 ounce serving.
Per ounce sugar content in Raisin Bran= [tex]\frac{13}{1.4}=9.28[/tex] gram
Hence, Raisin Bran has less sugar from an ounce of cereal.
a minivan can hold up to 7 people. How many minivans are needed to take 45 people to a basketball game?
Can someone help? This makes no sense to me.
a. what is the height of the diving board
b. what is the maximum height of the diver
c. describe where the diver is ascending and where the diver is descending
What's method 2 and what is the unit rate per guest?
in a typical wimbledon,42,000 balls are used and 650 matches are played.about how many balls are used per match
divide number of balls by number of matches
42,000 / 650 = 64.615 = 65 balls per match
a store has all board games on sale for 25% off the regular price. a checker set has a sale price of $12. It is then moved to a clearance table where every item is discounted 40% off its regular price. What is the clearance price of the checker set?
The clearance price of the checker set will be $9.6.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.
A store has all tabletop games on special for 25% off the standard cost. A checker set has a deal cost of $12.
Then the regular price of the board games is given as,
⇒ $12 / (1 - 0.25)
⇒ $12 / 0.75
⇒ $16
It is then moved to a leeway table where each thing is limited to 40% off its normal cost.
Then the clearance price of the checker set will be given as,
⇒ (1 - 0.40) x $16
⇒ 0.60 x $16
⇒ $9.6
The freedom cost of the checker set will be $9.6.
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Let f(p) be the average number of days a house stays on the market before being sold for price p in $1,000s. Which statement best describes the meaning of f(150)?
The correct statement is: "The average number of days the house stayed on the market before being sold for $150,000." So option (a) is correct.
To find the meaning of f(150) , we need to understand that f(p) represents the average number of days a house stays on the market before being sold for price ( p ) in $1,000s.
So, f(150) represents the average number of days a house stays on the market before being sold for $150,000.
This means the correct statement is: "The average number of days the house stayed on the market before being sold for $150,000."
To calculate this, let's say there are ( n ) houses that were sold for $150,000. The total number of days these houses stayed on the market would be the sum of days for each house. Then we divide this sum by (n ) to find the average.
Let's say [tex]\( D_i \)[/tex] is the number of days house [tex]\( i \)[/tex] stayed on the market before being sold for $150,000.
[tex]\[ f(150) = \frac{D_1 + D_2 + \cdots + D_n}{n} \][/tex]
Now, let's illustrate the calculation:
Let's assume 5 houses were sold for $150,000 and their days on market were 120, 140, 160, 180, and 200.
[tex]\[ f(150) = \frac{120 + 140 + 160 + 180 + 200}{5} \][/tex]
[tex]\[ f(150) = \frac{800}{5} = 160 \][/tex]
So, [tex]\( f(150) = 160 \)[/tex] which means the average number of days a house stayed on the market before being sold for $150,000 is 160 days. Therefore, the correct statement is: "The average number of days the house stayed on the market before being sold for $150,000."
Complete Question:
Let f(p) be the average number of days a house stays on the market before being sold for price p in $1,000s. Which statement best describes the meaning of f(150)?
a. This is the average number of days the house stayed on the market before being sold for $150,000.
b. The house sold on the market for $150,000 and stayed on the market for an average of 150 days before being sold.
c. The house sold for $150,000.
d. The house stayed on the market for an average of 150 days before being sold.
Monica earned $60 from a bonus plus $8.50 per hour (h) she worked this week. Which of the following expressions best represents Monica's income for the week?
Answer: 8.50h+60
The reason is because she earns $8.50 per hour so the variable goes next to 8.50 instead of the 60.
The equation (8.50h + 60) will represent Monica's earnings for the week.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Given; Monica earned a bonus = $60
Per hour earning in addition to bonus = $8.50
Let she worked for 'h' hours this week.
Then total earning from the hourly rate is $8.50h
The Total earning for the week = Earning of 'h' hours + Bonus earned
= $(8.50h + 60)
Therefore, The equation (8.50h + 60) will represent Monica's earnings for the week.
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bob switches cell phone plans from Verizon to Tmobile. the monthly cost of his new plan is half the cost of his old plan, plus he added the iPhone 6s to his new plan which costs an additional $27.50 per month. If Bob's new monthly bill with Tmobile is $70 total(plan and phone), then how much is he saving per month by switching from Verizon to Tmobile? (analyze, equation, solve, check and interpret, conclusion)
Bob is saving $15 every month by switching his mobile phone plan from Verizon to Tmobile.
Explanation:This question involves understanding and solving a mathematical equation associated to a real-life context, which in this case refers to mobile phone plans and their costs. Using the provided information, we first establish that Bob's plan with Tmobile costs $70 per month, and this includes the cost of his new iPhone 6s which adds an additional $27.50 to his monthly plan.
Based on these numbers, we can uncover the cost of the plan itself (excluding the phone) by subtracting $27.50 from $70, giving us $42.50. This, according to the question, is half the cost of Bob's old Verizon plan. Therefore, to find the total cost of the Verizon plan, we double the cost of the Tmobile plan, resulting in $85 per month.
So, the monthly savings Bob makes by switching from Verizon to Tmobile is the difference between the old Verizon cost ($85) and the new T-mobile cost ($70), which amounts to $15.
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what is 7 over (fraction bar) (8×4)+90÷9 ÷ (6^3)^-2 × 9 over (fraction bar) 6(5+4) = ?????
15 is 25% of the what number?
if 51,829 is rounded to the nearest thousand, how many zeros will the rounded number have?
When the number 51,829 is rounded to the nearest thousand, it becomes 52,000 which has three zeros. The process of rounding helps simplify numbers for easy comprehension and calculation.
Explanation:The question asks about rounding the number 51,829 to the nearest thousand. Rounding involves increasing or decreasing a number to its closest specific multiple. In this case, the closest thousand to 51,829 is 52,000. The rules of rounding dictate that if the number in the hundreds place is 5 or above, we round up. In 51,829, the number in the hundreds place is 8, which is greater than 5, indicating we should round up from 51,000 to 52,000.
If we check how many zeros 52,000 has, it has three zeros. Thus, the rounded number will have three zeros. It's important to remember that the number of zeros often increases when rounding to larger place values like thousands, ten thousands, etc.
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Put it in Least to greatest 1/3, 1 and 1/4, 0.27,1.35
A. 1/3,0.27,1 and 1/4, 1.35
B.1/3,0.27,1.35,1 and 1/4
C.0.27, 1/3,1.35, 1 and 1/4
D.0.27, 1/3 , 1 and 1/4, 1.35
Answer:0.27, 0.33333, 1.25, 1.35?
Step-by-step explanation: hope it helps some one?!
the expression 14.50 X can use to find the total cost for x tickets on family night for Mission and the movie what is the cost for three tickets
Ms. Posillico shoes are in ratio of 6:2:3:4; Wedges, Stilettos, Sneakers, Sandals respectfully. She owns 18 pairs of wedges. How many pairs of shoes does she own? (Show your work)
6:2:3:4
for every 6 pairs of wedges she owns 2 Stillettos, 3 sneakers and 4 sandals
18/6 =3
3*2 =6 stilettos
3*3 = 9 sneakers
3*4 =12 sandals
18 + 6 + 9 + 12 = 45 pairs of shoes
Final answer:
Given the ratio 6:2:3:4 for different types of shoes and 18 pairs of wedges, we first find the value of one unit in the ratio by dividing 18 by 6, which equals 3. Multiplying each part of the ratio by 3 gives us the total for each type, and adding those up gives us 45 pairs of shoes in total.
Explanation:
The question asks us to determine the total number of pairs of shoes Ms. Posillico owns based on the given ratio of different types of shoes and the fact that she owns 18 pairs of wedges.
Step-by-step Solution
First, we are given a ratio of 6:2:3:4 for Wedges, Stilettos, Sneakers, and Sandals respectively.
Since we know that there are 18 pairs of wedges, which corresponds to the first number in the ratio (6), we can use this information to find the value of each unit in the ratio.Divide the number of wedges (18) by the ratio number for wedges (6) to find out the value of one unit in the ratio.
Calculate the total number of pairs of shoes by multiplying the number each type of shoe per the given ratio by the value of one unit.
Add up the total pairs for each type of shoes to get the grand total.
Calculation
18 pairs of wedges / 6 = 3 pairs per unit
Then, multiply each part of the ratio by 3 to get:
Wedges: 6 * 3 = 18
Stilettos: 2 * 3 = 6
Sneakers: 3 * 3 = 9
Sandals: 4 * 3 = 12
Add up the total: 18 + 6 + 9 + 12 = 45 pairs of shoes.
Therefore, Ms. Posillico owns 45 pairs of shoes in total.
2n+5/-3=-1 please help me
Which of the following statements best represents the relationship between a relation and a function.
1. A function is always a relation but a relation is not always a function.
2. A relation is always a function but a function is not always a relation.
3. A relation is never a function but a function is always a relation.
Answer:
1. A function is always a relation but a relation is not always a function.
Step-by-step explanation:
A function is a relation in which each element of the domain is mapped to one element of the range.
This means that every function is a relation, but not every relation is a function.
Kasey has 8 packages of gelatin. She plans to fill molds that each take 1 1/3 packages of gelatin. Each mold can be divided into 6 servings. How many servings of gelatin can Kasey make?
Answer:
The number of servings of gelatin is 48
Step-by-step explanation:
step 1
Find out the number of molds
Divide the number of packages of gelatin (8) by 1 1/3 to obtain the number of molds
Remember that
[tex]1\frac{1}{3}=\frac{1*3+1}{3}=\frac{4}{3}[/tex]
so
[tex]\frac{8}{(4/3)}=\frac{24}{4}=6\ molds[/tex]
step 2
Find out the number of servings of gelatin
we know that
Each mold can be divided into 6 servings
To obtain the number of servings multiply the number of molds by 6
[tex]8(6)=48[/tex]
therefore
The number of servings of gelatin is 48
Kasey can make 36 servings of gelatin based on the number of packages she has and the amount required for each mould.
This question involves a bit of fraction work. Kasey has 8 packages of gelatin and each mold requires 1 1/3 packages of gelatin. As we need to figure out how many molds can be made, we divide the total number of packages by the amount needed for one mold. This equals 8 ÷ 1 1/3, which equals to 6 molds when converted into an improper fraction.
Subsequently, we understand that each mold can be divided into 6 servings. Therefore, Kasey could make a total of 6 molds x 6 servings which equals 36 servings of gelatin.
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Julian walks a total of 900 meters to work each day. How far does he walk in 10 days
900 * 10 = 9000 meters
9000/1000 = 9 km
write a sequence that has three arithmetic means between 35 and 45
The required sequence is 35, 37.5, 40, 42.5, 45
Given that,
To determine a sequence that has three arithmetic means between 35 and 45.
Arithmetic progression is the series of numbers that have common differences between adjacent values
Here,
The difference in the number 45 and 35,
= 45 - 35
= 10
We have to add 3 numbers between 35 to 45
The total number of difference become 4 between the 5 numbers
mean of difference = 10 / 4
= 2.5
Now the sequence is given as,
35, 35+2.5, 35+ 2 * 2.5 + 35 + 3 * 2.5 + 45
35, 37.5, 40, 42.5, 45
Thus, the required sequence is 35, 37.5, 40, 42.5, 45
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the 7 in the thousands place is 10 times greater than the 7 in the hundreds place?
the 7 in the thousands place is 100 times greater than the 7 in the hundreds place?
the 7 in the thousands place is 7 times greater than the 7 in the hundreds place?
The 7 in the thousands place is ten times greater than the 7 in the hundreds place, adhering to the base-10 structure of our numbering system; other proposed multipliers are incorrect.
Explanation:The question explores the concept of place value in our decimal numbering system, which is based on powers of ten. Specifically, it examines the comparative value of digits in the thousands and hundreds places. Using the decimal system, each place value to the left is ten times greater than the one immediately to its right.
The second statement suggesting that the 7 in the thousands place is 100 times greater is incorrect; it overlooks the base-10 structure of our numbering system. Finally, the suggestion that the 7 in the thousands place is 7 times greater is also incorrect, as it misinterprets the multiplicative property of the decimal system. Therefore, the 7 in the thousands place being 10 times, 100 times, or 7 times greater than the 7 in the hundreds place aligns with the concept of powers of 10.