Answer:
B. 268
Step-by-step explanation:
The new mean for the given data set can be obtained as 268.
How to calculate the average or mean?In order to calculate average, divide the total sum of the data to the total number of data. An average is a standard number for a given data whose value can both be more or less than it.
The given data is 225, 259, 306, 325, 350.
And, its mean is given as 293.
Here, the number of elements is 5.
If 25 is subtracted from each value, new mean can be evaluated as below,
New mean = (Old mean × 5 - 25 × 5)/5
⇒ (293 × 5 - 25 × 5)/5
⇒ 293 - 25 = 268
Hence, the new mean can be obtained as 268.
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At a given time, the length, L, of the shadow of an object varies directly
as the height of the object, H. If the shadow is 27 ft when the height of
the object is 12 ft, what is the height of the object if the shadow is 18 ft?
Answer:
8 ft
Step-by-step explanation:
Use the direct variation equation, y = kx, where k is a constant.
Change the equation to fit the variables: L = kH
Plug in the given length of the shadow and the height of the object, then solve for k:
L = kH
27 = k(12)
2.25 = k
So, the equation is L = 2.25H
Then, plug in 18 as L, and solve for H:
L = 2.25H
18 = 2.25H
8 = H
So, when the shadow is 18 feet, the height of the object is 8 ft
The ratio of students to laptops in a school is 3:2. If there are 1200 students,how many laptops are there
2, 3, 5, 5, 8, 7, 11, __, __,__, 17,__, __, __
What is the pattern?
Answer:
9, 14, 11, 17, 13, 20, 15
Step-by-step explanation:
so it's kinda hard to explain but starting from 2, for every second number u add three (2,5,8,11,etc) and then starting from 3, for every second number you add two (3,5,7, etc)
that literally makes no sense aha
A contractor wants to rent a wood chipper from Acme Rental for a day for $118 plus $11 per hour or from Bell Rental for a day for $128 plus $9 per hour. Find a cost function in dollars for using each rental firm. (Let x be the number of hours for which the wood chipper is rented.) Acme C(x)
Answer:
[tex]C(x) = 118 + 11 x[/tex] -- Acme
[tex]C(x) = 128 + 9 x[/tex] --- Bell
Step-by-step explanation:
Given
Acme:
[tex]Daily = 118[/tex]
[tex]Hourly = 11[/tex]
Bell:
[tex]Daily = 128[/tex]
[tex]Hourly = 9[/tex]
Required
Determine the cost function for both
The cost function can be determined using the following illustrations:
Daily Rate + Hourly Rate * Number of Hours
Represent the number of hours with x
So, we have:
For Acme:
[tex]C(x) = 118 + 11 * x[/tex]
[tex]C(x) = 118 + 11 x[/tex]
For Bell:
[tex]C(x) = 128 + 9 * x[/tex]
[tex]C(x) = 128 + 9 x[/tex]
At a concession stand seven hotdogs And four hamburgers cost $15 . Four hotdogs and seven hamburgers cost $18 . Find the cost of one hotdog in the cost of one hamburger.
Answer:
so hamburgers would be 2$ a peice
hotdogs wll be 1$ a peice
Step-by-step explanation:
5. This year's enrollment in Mesa School District is
6,000, which is 20 percent higher than last year's.
What was last year's enrollment in Mesa School
District?
Answer:
The enrollment last year was 5,000
Step-by-step explanation:
Here, we have the enrollment this year higher than what we have last year by 20%
So we want to know the enrollment last year
Let the enrollment last year be x
Mathematically, the enrollment this year will be;
x + 20% of x = 6,000
Thus;
x + (20/100 * x) = 6000
x + 0.2x = 6000
1.2x = 6,000
x = 6,000/1.2
x = 5,000
How is the daily balance method different from compounding interest daily?
a. Unlike daily compound interest, the daily balance method only applies charges at the end of
the month.
b. The daily balance method rounds less frequently than daily compound interest.
C. The daily balance method checks your balance at the end of each day, but daily compound
interest checks at the beginning of each day.
d. It is not different. The two processes are the same.
Please select the best answer from the choices provided
Answer:
a on edge 2021
Step-by-step explanation:
We can see that the daily balance method is actually different from compounding interest daily in the following way: A. Unlike daily compound interest, the daily balance method only applies charges at the end of the month.
What is compound interest?Compound interest is actually known as the addition of the interests to the principal. It is an accumulation of the interests gathered over a period of investment plus the principal sum.
Daily balance method refers to the daily interest that is calculated at the end of each day. It applies charges at the end of the month. This is why it is different from daily compound interest.
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Which trig ratios are equivalent to 10/26? Select all that apply. *
sin A
cos A
tan A
sin C
cos C
tan c
Answer:
cos A
sin C
Step-by-step explanation:
cos is adjacent/hypotenuse
adj of A is 10, hyp is 26 so = 10/26
sin is opposite/hypotenuse
opp of C is 10, hyp is 26 so = 10/26
Jason found a recipe for Spanish tacos. Each taco requires 2/5 cup of rice.Jason has 6 cups of rice how many tacos will he be able to make? Create a tape diagram to find the solution
Answer:
He will be able to make 15 tacos.
Step-by-step explanation:
Divide 2 by 5 to get 0.4, Then divide 6 by 0.4 to get 15.
Unfortunately, I cannot help you with the diagram.
Alex takes a multiple-choice quiz in his Anthropology 100 class. The quiz has 10 questions, each has 4 possible answers, only one of which is correct. Alex did not study for the quiz, so he guesses independently on every question. What is the probability that Alex answers exactly 2 questions correctly
Answer:
The probability is 0.28157
Step-by-step explanation:
The number of answers are 40 answers ( 10 questions and 4 answer each)
The number of correct answers is only 10
So the probability that he answers 2 exactly out of 10 means he correctly selected 2 answers
The probability will be;
10 C 2/ 40 C 10
This mean out of the total 10 correct, he selects 2 and out of the total 40 , he selects 10
The probability of selecting a correct answer is;
1/4 while the probability of selecting a wrong one is 3/4
So probability of selecting 2 correct out of a total 10 will be
10 C 2 (1/4)^2 (3/4)^8
= 0.28157
A popular ride-sharing app charges an
initial booking fee plus $1.30 per mile. If a
14-mile ride costs $21.20, which equation
describes the situation?
th
1
Answer:B
Step-by-step explanation:
1.30×-14=-18.20
-18.20+21.20=3
Answer this question correctly
Answer:
x = 3 - 3/2y
y = 2 - 2/3x
Step-by-step explanation:
2x + 3y = 6
2x = 6 - 3y
x = 3 - 3/2y
2x + 3y = 6
3y = 6 - 2x
y = 2 - 2/3x
Answer:
Slope=−1.333/2.000=−0.667
x−intercept=3
y-intercept=2
Step-by-step explanation:
HOPE THIS HELPS!!
The ratio of the length to the width of a rectangular field is 3 to 2. If the field is 150 yards long, how wide is the field?
Answer:
The field is 100 yards wide.
Step-by-step explanation:
Given that the relationship between the length and width of the rectangular field is 3 to 2, and that said field is 150 yards long, the following calculation must be performed to determine its width:
((150/3) x 2) = X
50 x 2 = X
100 = X
Thus, the common largest divisor between both numbers is obtained, and the relationship from 3 to 2 is established based on said number. Therefore, the rectangular field is 100 yards wide by 150 yards long.
Which way shows one way you can decompose 15 to find 42 x 15?
A. О (42 + 10) (42 + 5)
B. O (42 + 10) + (42 + 5)
C.O (42 x 10) + (42 * 5)
D. O (42 x 1) + (42 x 5)
Answer:
42 * 10 + 42 * 5
which agrees with the third option (C) shown on the list of possible answers
Step-by-step explanation:
Notice that using distributive property we can write:
42 * 15 = 42 (10 + 5) = 42 * 10 + 42 * 5
which agrees with the third option (C) shown on the list of possible answers.
rrrrrrrrrrrrrrrrrrrrrrrrrrrrrre
Answer:
??
Step-by-step explanation:
16 1/9+ -4 2/3 help please??
Answer:
11 4/9
Step-by-step explanation:
ANDDD the answer is
Adeline buys 8 packs of Fun Gum. Each pack has 7 pieces of gum. Marisol buys Juicy Gum. Each Juicy Gum pack has 9 pieces of gum.Adeline has 11 more pieces of gum than Marisol. How many packs of gum did Marisol buy?
Answer:
The number of packs is 5.
Step-by-step explanation:
Let the number of juicy packs of gum bought by Marisol be represented by n.
Adeline bought 8 packs of Fun gum with each pack containing 7 pieces of gum.
Total number of gums has Adeline = 8 x 7
= 56
Total pieces of gum has Marisol = n x 9
= 9n
Given that Adeline has 11 more pieces of gum than Marisol, thus;
56 = 9n + 11
56 - 11 = 9n
45 = 9n
n = [tex]\frac{45}{9}[/tex]
n = 5
The number packs of juicy gum bought by Adeline is 5 and total pieces of his gum is 45.
An architect's scale drawing of a new school is 8,4 inches
long. The scale used in the drawing is 2 inches = 8 feet,
What is the actual length, in feet, of the school?
Answer:
Step-by-step explanation:
2=8 feet sooo
8/4=2 2x2=4 4x8= 32 4x4=16 sooo 32, 16 feet :) hope dis helps
Can someone please help, ty!!
(Will mark brainliest)
Answer:
100
Step-by-step explanatio
. Isabella buys a 1.75 litre carton of apple juice. What is the largest number of 200 millilitre glasses that she can have from the carton?
Answer:
The largest number of glasses of juice Isabella can have from the carton is 8.
Step-by-step explanation:
Ratios
Knowing the total capacity of the carton of apple juice Ct, and the capacity of each glass Co, we can calculate how many glasses can be taken from the carton by finding the ratio:
[tex]\displaystyle n=\frac{Ct}{Co}[/tex]
There are 1,000 milliliters in one liter, thus the carton has a capacity of
C t= 1.75*1,000 = 1,750 milliliters
Thus,
[tex]\displaystyle n=\frac{1,750}{200}[/tex]
n=8.75
Since we cannot have 8.75 glasses, we round to the previous integer, then:
The largest number of glasses of juice Isabella can have from the carton is 8.
What is the image of Y(-4, 7) under the translation vector (3,-5) ?
Answer:
(-1, 2)
Step-by-step explanation:
(-4, 7) under translation (3,-5)
(-4+3, 7-5) so is (-1, 2)
m and n are negative rational numbers. The product will be negative
TRUE or FALSE
Answer:
The product of two negative rational numbers can not be negative. Hence, the statement that 'the product will be negative' is FALSE.
Step-by-step explanation:
We know that a rational number is a number that can be written in the form p/q, where p and q are integers.
A negative rational number is a number that can be represented as -p/q or
(-1) p/q, where p and q are whole numbers.
It must be not that the product of two negative rational numbers would always be positive.
For example, let suppose m = -5 and n = -7 are two negative rational numbers.
Taking the product of -5 and -7.
= (-5) × (-7)
= 35
Therefore, the product of two negative rational numbers can not be negative. Hence, the statement that 'the product will be negative' is FALSE.
How many interior angles in this polygon
Answer:
8
Step-by-step explanation:
I might be wrong
What is indicated by a positive value for a correlation? a. A much stronger relationship than if the correlation were negative b. A much weaker relationship than if the correlation were negative c. Increases in X tend to be accompanied by decreases in Y d. Increases in X tend to be accompanied by increases in Y
Answer: Increases in X tend to be accompanied by increases in Y
Step-by-step explanation:
The option given that indicates a positive value for a correlation is that an increases in X tend to be accompanied by increases in Y.
When two variables are said to be positively correlated, it simply means that the variables move along the same direction. As one variable increase, the other variable too will slow increase and vice versa.
Please help I will brainliest!! Really urgent!!
and tell you me how you go it, not just the answer please!❤️
This is my last ques/ of the day
Answer: [tex]\frac{5}{6}x-10[/tex]
==============================
Work Shown:
[tex]\left(\frac{1}{3}x-8\right)+\left(\frac{1}{2}x-2\right)\\\\\frac{1}{3}x-8+\frac{1}{2}x-2\\\\\left(\frac{1}{3}x+\frac{1}{2}x\right)+(-8-2)\\\\\left(\frac{1}{3}+\frac{1}{2}\right)x-10\\\\\left(\frac{2}{6}+\frac{3}{6}\right)x-10\\\\\frac{2+3}{6}x-10\\\\\frac{5}{6}x-10\\\\[/tex]
Answer:
[tex]\frac{5}{6}[/tex]x-10
Step-by-step explanation:
([tex]\frac{1}{3}[/tex]x-8)+([tex]\frac{1}{2}[/tex]x-2) = [tex]\frac{1}{3}[/tex]x-8+[tex]\frac{1}{2}[/tex]x-2
[tex]\frac{1}{3}[/tex]x-8+[tex]\frac{1}{2}[/tex]x-2 = [tex]\frac{1}{3}[/tex]x+[tex]\frac{1}{2}[/tex]x-10
If you -8 then -2, you are subtracting 10 from the equation in total.
[tex]\frac{1}{3}[/tex]x+[tex]\frac{1}{2}[/tex]x-10 = [tex]\frac{2}{6}[/tex]x+[tex]\frac{3}{6}[/tex]x-10
To make the denominator the same, I will multiply the first fraction by 2 and the second fraction by 3 so that their denominators are 6.
[tex]\frac{2}{6}[/tex]x+[tex]\frac{3}{6}[/tex]x-10 = [tex]\frac{5}{6}[/tex]x-10
Once the denominators are the same, you can do the working for the numerators directly (2+3=5) and keep the denominator the same.
Sami's bank account earns 4% simple interest per year. If Sami deposits $500, how much simple interest will she earn in one year?
Answer:
$20 simple interest.
Step-by-step explanation:
The simple interest that Sami earns is 4% of her deposit since she is trying to find how much she will earn in one year (given that the interest rate is 4% per annum).
[tex]\$500\times4\%=\$20[/tex]
∴ Sami earns $20 simple interest in one year.
Hope this helps :)
Answer:
Step-by-step explanation:
Helppppppppp pleaseeeee
answer: c
hope that helps! that was the most reasonable answer
3 sisters have ages that are consecutive odd integers. The sum of the age of the youngest and three times the age of the oldest is five less than five times the middle sisters age. what is the age of the youngest child.
Step-by-step explanation:
Let n be the age of the youngest sister. Since the ages are consecutive odd integers, the next sister's age is n+2, and the oldest sister is n+4. the following equation represents the relationship between the girls' ages.
n + 3(n + 4) = 5(n + 2) - 5
n + 3n + 12 = 5n + 10 - 5
4n + 12 = 5n +5
-4n -5 -4n -5
7 = n
so the sisters are 7, 9, and 11
The age of the youngest child 7 years.
What is linear expression?
A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.
Since, the ages are consecutive odd integers,
So, Let x be the age of the youngest sister.
The next sister's age is x + 2,
And, the oldest sister is x + 4.
Hence, The following equation represents the relationship between the girls ages.
x + 3(x + 4) = 5(x + 2) - 5
x + 3x + 12 = 5x + 10 - 5
4x + 12 = 5x + 5
12 - 5 = 5x - 4x
x = 7
So, The age of the youngest child 7 years.
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I need help. Thanks!
Answer:
The answer is B
Step-by-step explanation:
it is in the middle, and in both triangles
Answer:
A. (A)
Step-by-step explanation:
The answer is A. A is the center of the dilation of the triangle
I want a clear solution an explanation of how to solve this, please.
Answer:
the answer is (4,7).