Mark can make 42 birdays cakes in 7 days how many birthday cakes can mark make in 5 days?
Answer:
30
Step-by-step explanation:
Factor completely 4x2 – 8x – 60
Answer
(4x – 20)(x + 3)
4(x – 1)(x + 15)
4(x – 5)(x + 3)
(4x – 4)(x + 15) ...?
Final answer:
To factor the expression 4x² − 8x − 60 completely, factor out the greatest common factor of 4, then factor the resulting quadratic expression, which results in C. 4(x − 5)(x + 3).
Explanation:
The question asks you to factor completely the quadratic expression [tex]4x^2 - 8x - 60[/tex]To factor this expression, first, look for any common factors among the terms. Here, the common factor is 4. Factoring out the 4 gives you [tex]4(x^2 - 2x - 15).[/tex]Next, we factor the quadratic expression within the parentheses.
We look for two numbers that multiply to give − 15 (the constant term) and add to give − 2 (the coefficient of x). These numbers are − 5 and + 3, so the expression factors further into 4(x − 5)(x + 3).
The completely factored form of the quadratic expression [tex]4x^2 - 8x - 60[/tex] is C. 4(x − 5)(x + 3).
The owner of ProPhone has charted the company's marginal revenue and marginal cost for its latest line of smartphones, the Blazer. Use the chart to calculate the company's profit.
How many phones will ProPhone need to sell to maximize profit?
a) FOUR
b) SIX
c) NINE
d) TWELVE
Answer:
6
Step-by-step explanation:
There are 13 fish in an aquarium. Seven of the fish are guppies. How many non-guppies are in the aquarium? A. The number of guppies. B. The number of non-guppies. C. The total number of fish.
Final answer:
To find the number of non-guppies in the aquarium, subtract the number of guppies (7) from the total number of fish (13), which equals 6 non-guppy fish.
Explanation:
The student's question requires basic arithmetic to solve a subtraction problem within a real-world context of counting fish in an aquarium. Given that there are 13 fish in an aquarium and 7 are guppies, we need to find the number of non-guppies. The total number of non-guppies can be found by subtracting the number of guppies from the total number of fish.
Let's perform the calculation:
Total number of fish in the aquarium = 13
Number of guppy fish = 7
Subtract the number of guppy fish from the total number of fish to find the number of non-guppy fish. 13 (total number of fish) - 7 (number of guppies) = 6
Therefore, there are 6 non-guppie fish in the aquarium.
algebra help?
write a function rule for the area of a triangle with a base of 3 cm greater than 5 times its height. what is the area of a triangle when its height is 6 cm?
Find the Nth term of the following sequence...
7, 27, 47, 67, .....
What is the common difference d of the sequence?
9, −8, −25, −42, −59, ...
d =
A quiz consists of 4 true-false questions. What is the probability of getting 100% on the quiz by randomly guessing the answer to all 4 questions?
Answer: The probability of getting 100 % on the quiz is 0.0625.
fgfdgfdgfdgfdfgfgdgfdfdgfdgdfsfdsfdgffdsfsdfdsfdsfsadsadsaddfdsf
Step-by-step explanation:
Since we have given that
Number of true-false questions = 4
Number of chances of answer = 2
1) True,
2) False
Probability of getting correct answer is given by
[tex]\frac{1}{2}[/tex]
Probability of getting 100% on the quiz by randomly guessing the answer to all 4 questions is given by
[tex]\frac{1}{2}^4\\\\=\frac{1}{2}\times \frac{1}{2}\times \frac{1}{2}\times \frac{1}{2}\\\\=\frac{1}{16}\\\\=0.0625[/tex]
Hence, The probability of getting 100 % on the quiz is 0.0625.
a soccer player has made 3 of his last 24 shots on goal, or 12.5%. How many consecutive goals does he need to raise his shots-on-goal average to at least 20%?
The player needs to score at least 3 consecutive goals to raise his shots-on-goal percentage to at least 20%.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
Let's first calculate how many total shots-on-goal the player has attempted so far:
Total shots-on-goal attempted = 24
Total goals scored = 3
Shots-on-goal percentage.
= (Total goals scored / Total shots-on-goal attempted) x 100%
Shots-on-goal percentage = (3 / 24) x 100% = 12.5%
Now, let's assume that the player scores x consecutive goals in his next x consecutive shots-on-goal.
Therefore, his new total goals scored will be:
New total goals scored = 3 + x
His new shots-on-goal percentage will be at least 20%:
New shots-on-goal percentage.
= (New total goals scored / New total shots-on-goal attempted) x 100%
≥20%
Substituting the values, we get:
(New total goals scored / (24 + x)) x 100% ≥ 20%
Simplifying and solving for x:
(New total goals scored / (24 + x)) ≥ 0.2
New total goals scored ≥ 0.2 (24 + x)
3 + x ≥ 4.8 + 0.2x
0.8x ≥ 1.8
x ≥ 2.25
Therefore,
The player needs to score at least 3 consecutive goals to raise his shots-on-goal percentage to at least 20%.
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The price of an item has been reduced by 70% . The original price was $60 . What is the price of the item now?
Final answer:
The original price of the item was $60, and after a 70% reduction, the new price is $18.
Explanation:
The original price of an item was $60. After being reduced by 70%, we need to calculate what the new price will be. We can calculate the amount of discount by multiplying 70% with the original price, which is $60.
To find the discount amount: $60 × 0.70 = $42
Now, subtract the discount amount from the original price to find the new price: $60 - $42 = $18.
Therefore, after a 70% reduction, the new price of the item is $18.
The two triangles below are similar. What is the similarity ratio of ΔABC to ΔXYZ?
1:2
2:1
3:2
2:3
To find the similarity ratio of ΔABC to ΔXYZ, compare the corresponding sides of the triangles. The ratio will be one of the named proportions based on the specific measurements of the triangles, which are not provided in the question.
Explanation:The question pertains to finding the similarity ratio of two similar triangles. The similarity ratio of triangles is the ratio of any two corresponding lengths in the triangles. This question specifically asks for the ratio of triangle ΔABC to triangle ΔXYZ. Without the specific lengths provided, a general solution is to compare the corresponding sides of the triangles. For instance, if the length of side AB in ΔABC is twice the length of side XY in ΔXYZ, then the similarity ratio would be 2:1. If it was the other way around, the ratio would be 1:2. Similarly, if AB was three halves the length of XY, the ratio would be 3:2, and if AB was two thirds the length of XY, the ratio would be 2:3. The correct ratio would be one of the options given based on the specific lengths provided in the problem, which are not included in the question as stated.
Final answer:
Without specific side lengths, it's impossible to provide the similarity ratio of ΔABC to ΔXYZ. Additional measures of corresponding sides are needed for such a calculation.
Explanation:
To determine the similarity ratio of two similar triangles, you need to compare the lengths of corresponding sides. However, in the provided question, no specific measurements for the triangles are given, so it is not possible to calculate the exact similarity ratio of ΔABC to ΔXYZ. We would need additional information, such as the lengths of corresponding sides from both triangles, to be able to determine the correct ratio.
The process would involve dividing the length of a side from ΔABC by the length of the corresponding side from ΔXYZ. For instance, if side AB of ΔABC measures 6 cm and the corresponding side XY of ΔXYZ measures 3 cm, then the similarity ratio is 6:3 or simplified as 2:1.
Which of the following represents the graph of f(x) = 2x + 2?
Answer with explanation:
The given function is :
[tex]y= f(x)=2^x+2[/tex]
To plot the graph of this function , we find x, for different integral values of y and x for different integral values of y and plot these points in x y plane.
x 0 1 2 3
y 3 4 6 10
Join these points to get required curve.
Find the Solution of n/2-11=3 if the replacment set is {26, 28, 29, 30, 31}
Kylie has $70 to spend on clothes. She wants to buy a pair of jeans for $30 and spend the rest on t-shirts. Each t-shirt costs $8. Which inequality represents the number of t-shirts she can purchase?
x ≥ 5
x ≤ 5
x ≤ 11
x ≥ 11
Answer: The correct option is (B) [tex]x\leq 5.[/tex]
Step-by-step explanation: Given that Kylie has $70 to spend on clothes. She wants to buy a pair of jeans for $30 and spend the rest on t-shirts where each t-shirt costs $8.
We are to select the inequality that represents the number of t-shirts she can purchase.
Let x denote the number of t-shirts that she can buy.
Then, according to the given information, we have
[tex]30+x\times 8\leq 70\\\\\Rightarrow 30+8x\leq 70\\\\\Rightarrow 8x\leq 70-30\\\\\Rightarrow 8x\leq 40\\\\\Rightarrow x\leq \dfrac{40}{8}\\\\\Rightarrow x\leq5.[/tex]
Thus, the required inequality that represents the number of t-shirts she can purchase is [tex]x\leq 5.[/tex]
Option (B) is CORRECT.
List the integers between the square root of 15 and the square root of 48 ?
Aki's Bicycle Designs has determined that when x hundred bicycles are built, the average cost per bicycle is given by C(x)=0.5x^2 -1.3x+9.972, where C(x) is in hundreds of dollars. How many bicycles should the shop build to minimize the average cost per bicycle? ...?
Write 6% as a decimal.
write 2.18 as a mixed number in simplest form
The decimal number 2.18 can be written as the mixed number 2 9/50, considering that .18 is equivalent to the fraction 18/100, which simplifies to 9/50.
Explanation:The number 2.18 is not technically a mixed number, but it can be written in a format similar to a mixed number. A mixed number is defined as a number that includes both a whole number and a proper fraction. In this case, the whole number is 2 and the decimal .18 could be viewed as a type of fraction. If we want to express .18 as a fraction, we can convert it to 18/100. This fraction, however, can be further simplified to 9/50 by dividing both the numerator and the denominator by 2. Therefore, we could write 2.18 as the mixed number 2 9/50.
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Round 24.99 to the nearest tenth
24.99 rounded to the nearest tenth is 25.0.
To round 24.99 to the nearest tenth, we need to look at the digit in the hundredths place. The number 24.99 has a 9 in the tenths place and a 9 in the hundredths place.
If the hundredths place is 5 or higher, we round up the tenths place by 1.If the hundredths place is less than 5, we leave the tenths place as is.Since the hundredths place in 24.99 is 9 (which is higher than 5), we round up the tenths place from 9 to the next whole number which is 10, and it causes the digit in the ones place to increase by 1.
Therefore, 24.99 rounded to the nearest tenth is 25.0.
Solve the systems of equations 6x+3y=9 2x+3y=1
To solve the given system of linear equations, subtract one equation from the other to eliminate the y-variable, then solve for x and substitute back to find y. The solution is x = 2, y = -1.
Explanation:To solve the system of equations 6x + 3y = 9 and 2x + 3y = 1, we can use the subtraction method. We want to find the values of x and y that satisfy both equations simultaneously. Observing that both equations have the term 3y, we can subtract the second equation from the first to eliminate the y-terms:
Subtract the second equation from the first: (6x + 3y) - (2x + 3y) = 9 - 1.Simplify the subtraction: 4x = 8.Divide both sides by 4 to solve for x: x = 2.Substitute x back into one of the original equations to solve for y: 2(2) + 3y = 1.Solve for y: 4 + 3y = 1 --> 3y = -3 --> y = -1.The solution to the system of equations is x = 2, y = -1.
a landscaper estimates that a set of plants can be installed in six hours by 12 workers the landscaper wants to finish a set of plants in 4 hours assuming that the variables are inversely related how many workers should the landscaper bring to the job
P=2L+2W Solve the formula for L
prove from mathematical induction,
(7^n-3^n) is divisible by 4.
...?
Emily is three years older than twice her sister Mary’s age. The sum of their ages is less than 30.
Let x represent Mary's age.
Which inequality represents Mary’s possible age?
A. 0 < x < / = 9
B. 0 < x < / = 18
C. 0 < x < 18
D. 0 < x < 9
2x+3+x<30
3x<27
x<9
The answer would be D.
Widget company made 3600 widgets in four hours. They made the same number of widgets in each hour. How many widgets did the company make in one hour?
Solve 2(3a² - 1) - 6a = 5a
The latest demand equation for your Yoda vs. Alien T-shirts is given by: q = −40x + 800 where q is the number of shirts you can sell in one week if you charge $x per shirt. The Student Council charges you $400 per week for use of their facilities, and the T-shirts cost you $4 each. Find the weekly cost as a function of the unit price x. ...?
The weekly cost as a function of the unit price x can be calculated by subtracting the revenue from the total cost. The revenue is given by the demand equation q = -40x + 800, and the total cost is the sum of the fixed cost and the variable cost. Therefore, the weekly cost as a function of the unit price x is -160x + 3600.
The weekly cost as a function of the unit price x can be calculated by subtracting the revenue from the total cost.
Revenue is given by the demand equation q = -40x + 800, where q is the number of shirts sold at price x.
Total cost is the sum of the fixed cost and the variable cost. The fixed cost is $400 per week for use of the facilities, and the variable cost is $4 per shirt.
Therefore, the weekly cost as a function of the unit price x is given by:
Cost(x) = 400 + 4q = 400 + 4(-40x + 800) = 400 - 160x + 3200 = -160x + 3600
So, the weekly cost as a function of the unit price x is -160x + 3600.
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Solve the given differential equation dN/dt=kN, (k=constant) ...?
how would you write 2.04 in words
From 1980 through 1990, the population of Country X increased by 100 percent. From 1990 to 2000, The population increased by 50 percent. What was the combined increase for the period 1980-2000
A. 150%
B. 166 2/3%
C.175%
D.200%
Answer:200 %
Step-by-step explanation:
From 1980 to 1990 population increased by 100%
Let us Say initial population be x
therefore 100 % increase means it increases to 2x
From 1990 to 2000 population increased by 50%
i.e.[tex]2x \times 1.5=3x[/tex]
Total increase from 1980 to 2000
[tex]\frac{3x-x}{x}\times 100=200\%[/tex]