Answer: $1,780
Step-by-step explanation:
Joy Wigens deposited 1/3 of the check of $2,670 that she received in her Citibank account.
The amount she deposited in her Citibank account was:
= 1/3 * 2,670
= $890
The amount she is left with after this deposit will therefore be:
= Check amount - deposit at Citibank
= 2,670 - 890
= $1,780
How many ounces of a 19% alcohol solution and a 37% alcohol solution must be combined to obtain 90 ounces of a 24% solution
Answer:
19% alcohol solution = 65 ounces
37% alcohol solution = 25 ounces
Step-by-step explanation:
Let
19% alcohol solution = x
37% alcohol solution = y
x + y = 90 (1)
0.19x + 0.37y = 90*0.24
0.19x + 0.37y = 21.60 (2)
from (1)
x = 90 - y
Substitute into (2)
0.19x + 0.37y = 21.60
0.19(90-y) + 0.37y = 21.60
17.1 - 0.19y + 0.37y = 21.60
- 0.19y + 0.37y = 21.60 - 17.1
0.18y = 4.5
y = 4.5/0.18
y = 25 ounces
x + y = 90 (1)
x + 25 = 90
x = 90 - 25
x = 65 ounces
HELP!!! I need help with this question
Answer:
90 90909090909090909090909090
PLease help the question is in the photo
Determine the period
Answer:
20
Step-by-step explanation:
A period is how long a wavelength takes.
By picking the maximum y point, you look for the X difference between the first maximum and the second one.
NOTE: I may not be reading your graph correctly as the resolution is quite low, but I got it.
Help on these questions
Answer:
the answer is 42.
Step-by-step explanation:
(8)(5)−8+(2)(5)
=42
Answer:
1: 42
2: 107.6 °F
Step-by-step explanation:
For question 1 you insert the x and y values into the expression:
8 × 5 = 40 (xy = 40)
40 - 8 = 32 (xy - x = 32)
2 × 5 = 10 (2y = 10)
32 + 10 = 42 (xy - x + 2y = 42)
For question two you insert the celsius value into the expression:
9/5 × 42 = 75.6 (9/5C = 75.6)
75.6 + 32 = 107.6 (9/5C + 32 = 107.6)
PLEASE HELP ME
Melinda, Meredith, John, Mark, Stan, and Max are sitting at a table. What
fraction of the students have names that begin with the letter ‘M'? *
O 1/4
O 2/3
O 1/2
O 4/5
If we had a Pyramid with a hexagonal base, how many of these pyramids would it take to fill up a hexagonal Prism with a congruent base, and equal height?
Answer:
3 of the pyramids
Step-by-step explanation:
Given:
Hexagonal Prism
Hexagonal based pyramid
Required
How many of the pyramid will fill up the prism
To do this, we start by calculating the volumes of both shapes.
Let V1 be the volume of the hexagonal prism
[tex]V_1 = \frac{3\sqrt{3}}{2}a^2h[/tex]
Where: a = base and h = height
Let V2 be the volume of the hexagonal based pyramid
[tex]V_2 = \frac{\sqrt{3}}{2}a^2h[/tex]
Where: a = base and h = height
The number of the pyramid that can occupy the prism is calculated by dividing V1 by V2
[tex]Number = \frac{V_1}{V_2}[/tex]
[tex]Number = \frac{3\sqrt{3}}{2}a^2h /\frac{\sqrt{3}}{2}a^2h[/tex]
Convert division to multiplication
[tex]Number = \frac{3\sqrt{3}}{2}a^2h * \frac{2}{\sqrt{3}a^2h}[/tex]
[tex]Number = \frac{3\sqrt{3}}{2} * \frac{2}{\sqrt{3}}[/tex]
[tex]Number = \frac{3\sqrt{3}}{1} * \frac{1}{\sqrt{3}}[/tex]
[tex]Number = \frac{3*1}{1} * \frac{1}{1}[/tex]
[tex]Number = 3[/tex]
Two identical number cubes are shown in the picture. The edge length of these number cubes is 3 centimeters. What is the combined volume of the two number cubes in cubic centimeters? 27 cm3 9 cm3 18 cm3 54 cm3
Answer:
They are both identical cubes which makes it much easier.
Work out the volume for just one first.
The formula for volume is:
l x w x h
However, since it is a cube, all lengths are the same.
3 x 3 x 3 = 27
Now multiply it by 2 to get the volume of both combined:
27 x 2 = 54.
In short, your answer is 54cm 3
Hope This Helps You!
Good Luck :)
Step-by-step explanation:
Which expression is equivalent to -5a + 12b - c + 5a - 7b + 12c after combining like terms?
Answer:
5b + 12c
Step-by-step explanation:
-5a +5 a = 0
12b-7b = 5b
12c= 12c
therefore you have the expression 5b+12c
I need help on slope. Anything concerning slope. Any advice you have would be worth a whole lot.
Can anyone help me with this please
I’ll mark you as a brainliest.
graph y=-2(x-5)(x+1)
Answer:
Y=2(x-5)(x+1)
Y=2x-10+2x+2
=4x-8
Y =4x-8
Vrite down the mathematical name of this 3-D shape.

Answer:
cube
cuboid
cylindrical
sphere
cone
The height (in feet) y of a bouncing ball and the time (in seconds) x since It was dropped, as shown in the graph below
Answer:
90 feet is the total distance,the total time will be the x value of the function's zero
Step-by-step explanation:
What is the minimum value for the function shown in the graph?
Answer:
2.5
The lowest point on the graph, or the minimum is at f(x)= 2.5
The minimum value of the given periodic function is, 2.5
What are functions?Function is a relation between a set of inputs and a set of outputs which are permissible. In a function, for particular values of x we will get only a single image in y. It is denoted by f(x).
Vertical line test:-
Whenever we want to check whether a given expression is a function or not we can apply a vertical line test, in this test we check for a single image of x , we are getting a single image or more.
If we get more images then it will not be a function.
For example, let us take, y² = 4ax
y = ±√4ax
For single value of x we get two values of y
Hence, it will not be a function.
Given that,
A periodic function,
Period = 3π
The value of the function is in the range of (2.5, 4.5)
So,
Maximum value = 4.5
Minimum value = 2.5
Thus, the minimum value is 2.5
To know more about Functions check:
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Help Pleases!!
2^4x=8^x-3
Answer:
Step-by-step explanation:
If you change the bases to the same number, the exponents must equal each other.
The length of a basketball court is twice its width. The perimeter is 150 feet. Find the length and width of the basketball court. On your worksheet, solve the question and write your answer below. What is length of the basketball court? What is the width of the basketball court?
Answer: W=25 and L=50
Step-by-step explanation: I first started out with 50, because 50 is half of 100. 50 divided by 2 equals twenty five. Now, I moved on to 100. 100 divided by 2 equals 50. 25+25+50+50=150.
Answer:
The width of the basketball court is 25 feet and the length is 50 feet
Step-by-step explanation:
Equations:
Let's make:
x = width of the basketball court
2x = length of the basketball court
The perimeter of the court is twice the width plus twice the length:
P = 2x + 2(2x)
P = 2x + 4x = 6x
It's known to be 150 feet, thus:
6x = 150
Dividing by 6:
x = 150/6
x = 25 feet
2x = 50 feet
The width of the basketball court is 25 feet and the length is 50 feet
Darrien purchases some clothes for a total of $26.50, before tax. Sales tax in his state is 5 percent. What is the total price he has to pay for the clothes?
Which expression is equivalent to ^3 square root of 54x + 3^3 square root of 2x, if x ≠ 0
Answer:
A
Step-by-step explanation:
[tex] \sqrt[3]{54x} + 3 \sqrt[3]{2x} = \\ = \sqrt[3]{2x \times 27} + 3 \times \sqrt[3]{2x} \\ = 3 \sqrt[3]{2x} + 3 \sqrt[3]{2x} = 6 \sqrt[3]{2x} [/tex]
Annie was earning $12.50 per hour at her job. She recently received a 10% raise. She has also decided she will put 1/5 of her new salary in savings. If Annie worked 40 hours in one week, how much is she putting into savings each week?
Answer:
$110
Step-by-step explanation:
Find two fractions, when multiplied together make 3/4
Step-by-step explanation:
9/12 if we divided by 3
6/8 if we divided by 2
hope it helps u
The two fractions when multiplied together make 3/4 are, 1/2 and 3/2.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
The first fraction can be 1/2 when multiplied by the second fraction 3/2.
Therefore,
The two fractions, when multiplied together make 3/4 is (1/2)×(3/2).
= 3/4.
learn more about fractions here :
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Can you guys give a Ratio problem for my class?
Answer:
no
Step-by-step explanation:
What are the domain and range of the function f(x)=square root x-7 +9?
Answer:
Domain is all real numbers greater than or equal to 7. Range is all real numbers greater than or equal to 9.
Step-by-step explanation:
The domain is possible x-values while the range is possible y-values. This question look like
[tex] \sqrt{x - 7} + 9[/tex]
The domain of square root function cant have a the radical inside being a negative number because we can't take the sqr root of a negative number and graph it on a cartisean plane We can take the sqr root of 0 . So we set x-7=0. And which x=7 so the domain is all real numbers that are equal to or greater than 7. The range of a sqr root function can only yield any positive y-values. So we must find the lowest point of it. Since the lowest x value we can possible use is 7 we plug it in
[tex] \sqrt{7- 7} + 9[/tex]
which equals 9. So the range is all real numbers greater than or equal to 9.
Answer:
I think that the short answer will be C) on edge.
Step-by-step explanation:
Edge 2021.
represent 35 in many ways
Answer:
............
Step-by-step explanation:
Thirty five
30+5
what is the total area of the figure above ?
Answer:
10*10/2=50
20^2-10^2=100
10*10/2=50
50+50=100
Step-by-step explanation:
Please help me! The problem ask you to identify the slope and the y-intercept of the line. And it ask to write the equation in slope intercept form
Every three years the population of one part of Brooklyn is recorded.
In 2014 there was a population of 10,500 people.
From 2014 to 2017 the population increased by 22%.
From 2017 to 2020 the population decreased by 10%.
What was the population of this area in 2020?
Answer:
11,529
Step-by-step explanation:
10500x22%=2310
10500+2310=12810
12810x10%=1281
12810-1281=11529
Answer:
Hello there!
Your question asks to find what was the size of the population in 2017
Answer: 6,721
In order to solve this problem, we're going to need to use the given information in the question in order to find the population in 2017.
Key information:
In 2010, population was 6500
In 2014, population increased by 10% from 2010
In 2017, population decreased by 6% from 2014.
With the information above, we can solve the problem.
We're going to start with 6500 as our starting population.
We know that the population increased by 10% in 2014, so we would multiply 6500 by 1.10.
Step-by-step explanation:
The data to represent average test scores for a class of 16 students includes an outlier value of 78. If the mean, including the outlier of 78, equals 84, which statement is always true about the new data when the outlier is removed?
The mean would increase.
The mean would decrease.
The median would increase.
The median would decrease.
Answer:
Given that The data to represent average test scores for a class of 16 students includes an outlier value of 78.
We can find sum of all 16 test scores = 84(16) = 1344
Outlier found = 78
If outlier is removed new sum = 1344-78 = 1266
Number of entries without outlier = 15
New average = 1266/12 =84.4
We find that average of new data increases.
Also whenever we remove outlier std deviation also would be reduced.
Step-by-step explanation:
Answer:
The mean would decrease.
Step-by-step explanation:
Without the outlier, the mean decreases. The median stays the same with or without the outlier.
HELP WITH THIS ITS URGET
Earl runs 25 meters in 10 seconds. How many meters does Earl run per second?
Earl runs
meters per second.
Answer:
2.5 meters a second
Step-by-step explanation:
Because I said so