Answer: 6.5 and 6
Step-by-step explanation:
what is 2 times negative 4/5
The number of girls int the choir is 4 times the number of boys in the choir. The total number of students in the choir is 60. How many girls are in the choir?
Answer:
15 boys in the choir
Step-by-step explanation:
60/4
4 x 15 = 60
Answer:
48
Step-by-step explanation:
First, make up some variables to represent the number of Girls and Boys in the choir.
B = number of boys
G = number of girls
You know that there are 4 times as many girls in the choir as boys. Therefore, the equation you can write is:
If you cross-multiply, then you get the simplified equation:
G = 4B
Intuitively this makes sense since if you multiplied the number of boys in the class by 4, that would be equal to the number of girls you have.
Now, we know that the total class size is 60. So girls plus boys equals 60:
G+B = 60
To solve the equation, replace the G in this equation with the replacement you found before, 4B.
G + B = 60 -->
4B + B = 60 -->
5B = 60 -->
B = 12
However, you are trying to find the number of girls, so plug the answer back into your equation.
G + B = 60 -->
G + 12 = 60 -->
G + 12 -12 = 60 - 12 -->
G = 48
The number of girls you have is 48.
A company rents out 13 food booths and 27 game booths at the county fair. The fee for a food booth is $50 plus $8 per day. The fee for a game booth is $80 plus $7 per day. The fair lasts for d days, and all the booths are rented for the entire time. Enter a simplified expression for the amount, in dollars, that the company is paid.
Answer:
ifruhhwhahsjjdhwjdkk
Let f (x) = log2(x) + 2 and g(x) = log2(x3) – 4.
Part A: If h(x) = f (x) + g(x), solve for h(x) in simplest form. (4 points)
Part B: Determine the solution to the system of nonlinear equations. (6 points)
The function h(x) in its simplest form is [tex]h(x) = 4log_2(x)- 2[/tex]
The functions are given as:
[tex]f(x) = log_2(x) + 2[/tex]
[tex]g(x) = log_2(x^3) - 4[/tex]
(a) Function h(x)This is given as:
[tex]h(x) = f(x) + g(x)[/tex]
So, we have:
[tex]h(x) = log_2(x) + 2 + log_2(x^3) - 4[/tex]
Collect like terns
[tex]h(x) = log_2(x) + log_2(x^3)+ 2 - 4[/tex]
[tex]h(x) = log_2(x) + log_2(x^3)- 2[/tex]
Apply law of logarithm
[tex]h(x) = log_2(x \times x^3)- 2[/tex]
[tex]h(x) = log_2(x^4)- 2[/tex]
Apply law of logarithm
[tex]h(x) = 4log_2(x)- 2[/tex]
Hence, function h(x) in its simplest form is [tex]h(x) = 4log_2(x)- 2[/tex]
(b) System of nonlinear equationsThe equations are not given.
So, the question cannot be solved
Read more about composite functions at:
https://brainly.com/question/10687170
What is the 5th term of the sequence defined by f(n) = 3(n-3)
Answer:
f(n) = 3(n-3).
f(5)=3(5-3)
f(5)=6
Options for #1
15.6
50.42
56.4
91.22
91.55
107.15
Options for #2
50.42
91.22
91.55
107.15
141.97
147.95
1. 56.4
2.107.15
So for the first one I subtracted like this:53.41- -2.99=56.4
You may be wandering why i subtracted that way,I did that because you are meant to subtract and the second number already has a negative sign which is MINUS.
And for the second I subtracted the smaller number from the bigger number this way:144.96 ‐ 37.8
Hope this helps...
Is your answer.
What two numbers can be used for the denominators of 5/8 and five/4
equal denominators can be 8, 16, 24, etc
but for this one, you can use 8.
Suppose your statistics professor reports test grades as z-scores, and you got a score of 2.25 on an exam.
a) Write a sentence explaining what that means.
b) Your friend got a z-score of −1. If the grades satisfy the Nearly Normal Condition, about what percent of the class scored lower than your friend?
You tested a sample of 100 packages from a shipment of 6000 packages. You
found that 70 packages were under weight. Estimate the number of packages that
will be under weight.
Answer:
100 p have 70 p under weight
6000p have: 6000*70/100=4200
Step-by-step explanation:
pls help me adwadawd
9514 1404 393
Answer:
15.5 lb
Step-by-step explanation:
The average weight of the top 5 fish was 12.9 lb:
(? +14.4 +12.8 +11.6 +10.2)/5 = 12.9
? +49 = 64.5 . . . . . . multiply by 5
? = 15.5 . . . . . . . . subtract 49
The weight of the heaviest fish was 15.5 lb.
A bag contains 7 red marbles, 6 white marbles, and 8 blue marbles. You draw 4 marbles out at random,
without replacement. Find the following probabilities and round to 4 decimal places.
a. The probability that all the marbles are red is
b. The probability that none of the marbles are red is
figures that formed by intersecting two inverted cones and a plane.
Answer:
hyperbola is formed by intersecting two inverted cones and a plane.
HELPPPPPP ASAPPPPPP!!!!!!!!
21 less than tree-fifths of a number
(3/5)x - 21
hope this helps :)
The sum of two nunbers is 80
Answer:
x + (80-x) = 80
Hope this helps
In question 12 write a valid conclusion for the given set of premises or indicate that no conclusion is possible.
12. If it doesn't rain, then Kristen will go swimming this weekend.
Kristen does not go swimming this weekend.
Answer: It rained.
Step-by-step explanation: Based off the information given, you can safely assume the reason she didn’t go swimming was because it was raining.
Some people advise that in very cold weather you should keep the gas tank in your car more than half full Louis car had 6.9 gallons in a 15 gallon tank on the coldest day of the year blue filled the tank with gas that cost 3.90 per gallon how much did we spend on gas
You can walk 2 miles in 36 minutes. How long will it
take you to walk 5 miles?
Answer:
90 min
Step-by-step explanation:
if 2 miles is equal to36 minutes what about 5 miles
Answer:
90 minutes. 1 hour, 30 minutes.
Step-by-step explanation:
36 minutes = 2 miles
? minutes = 5 miles
There are many ways to solve this, for example, creating an equation. But I am going to show you how to solve this using fractions.
Step 1: Set up a fraction.
Make sure your values are in the correct order. 2 miles is 36, so 5 miles would be a variable. We will make that variable of time "t".
[tex]\frac{36}{2} = \frac{t}{5}[/tex]
Also, make sure the values with the same units are on the same level. For example, 2 miles and 5 miles are both under, although they can be at the top, too, they just both have to be at the same place.
Step 2: Solve for the variable.
[tex]\frac{36}{2} = \frac{t}{5}[/tex]
On one side, we see 36 over 2. We should solve that first. [tex]\frac{36}{2}=36\div2=18[/tex]
We are left with [tex]18 = \frac{t}{5}[/tex]
Multiply 5 to both sides
[tex]5\cdot18=\frac{t}{5} \cdot5[/tex]
18 times 5 equals 90
5 cancels 5, so that leaves us with 90.
Step 3: Convert 90 minutes to hour.
60 minutes = 1 hour
Since we know 60 minutes makes 1 hour, we can find out how many are left from 90 minutes by subtracting 60 from 90
[tex]90-60=30[/tex]
It will take 1 hour and 30 minutes to walk 5 miles.
integration of sin3xsinx
Recall that
cos(x + y) = cos(x) cos(y) - sin(x) sin(y)
cos(x - y) = cos(x) cos(y) + sin(x) sin(y)
If you subtract the first equation from the second one, you end up with
cos(x - y) - cos(x + y) = 2 sin(x) sin(y)
so that
sin(3x) sin(x) = 1/2 (cos(3x - x) - cos(3x + x)) = 1/2 (cos(2x) - cos(4x))
Then in the integral,
[tex]\displaystyle \int \sin(3x)\sin(x)\,\mathrm dx = \frac12 \int(\cos(2x)-\cos(4x))\,\mathrm dx \\\\ = \frac12 \left(\frac12 \sin(2x) - \frac14 \sin(4x)\right) + C \\\\ = \boxed{\frac14 \sin(2x) - \frac18 \sin(4x) + C}[/tex]
One length of a rectangular garden lies along a patio wall. However, the rest of the garden is enclosed by 40 feet of fencing. If the length of the garden is three times it’s width, what is the area of the garden ?
The area of the rectangular garden is determined as 192 ft² from the product of the width and length.
What is the area of the rectangular garden?The area of the rectangular garden is calculated by applying the following method.
let the width of the garden = w
then, length of the garden = 3w
The resultant length or remaining length;
= 3w - w
= 2w
The value of the width of the garden is calculated by applying the formula for perimeter of a rectangle.
2w + w + 2w = 40
5w = 40
w = 40/5
w = 8 ft
So the length of the garden = 3 x 8 = 24 ft
The area of a rectangle is calculated as follows;
Area = 8ft x 24 ft
Area = 192 ft²
Learn more about area of garden here: https://brainly.com/question/386401
#SPJ1
Help help please help help me help help please please let me know please please help help please help me help help please help help me help help
Answer:
1) A=XB
2) (A-C)/B
Step-by-step explanation:
1) to keep A alone convert B to the other side with multiplication A=XB
2) To keep X alone. First C goes to the other side be minus A-C=BX
then B goes the other side with division (A-C)/B=X
what is an equation of the line that passes through the points (3,-9) and (-12,-6)
Mrs. Matherne received a grant to take some of her students on a field trip to the Audubon Zoo. Before she could release the permission slips to the students, she had to determine how many students she could take on the field trip. The total amount of the grant that she received $1,250.00. The grant total was to pay for the round trip bus ride and each students' admission ticket to the zoo. The round trip bus ride will cost $350, and the admission into the zoo is $10.00 per student.
Part A: WRITE an algebraic equation using the information provided above. Use "s" as your variable, which represents the number of students that can attend the field trip. (SHOW YOUR WORK)
Part B: SOLVE the algebraic equation and determine how many students can attend the field trip. (SHOW YOUR WORK)
In this problem, we build and solve an expression.
a)
The expression is:
[tex]350 + 10s = 1250[/tex]
b) 90 students can attend the field trip.
Item a:
The spendings are:
Round trip bus ride of $350.$10 per student s.Thus, in total:
[tex]350 + 10s[/tex]
Has $1,250.00 to spend, thus:
[tex]350 + 10s = 1250[/tex]
Item b:
The number of students that can attend the trip is the solution for s, thus:
[tex]350 + 10s = 1250[/tex]
[tex]10s = 900[/tex]
[tex]s = \frac{900}{10}[/tex]
[tex]s = 90[/tex]
Then, 90 students can attend the field trip.
A similar problem is given at https://brainly.com/question/22312773
Please answer question c
Answer:
the mean number of magazine readers is 200
Multiply (-2) (-2)(9)
Answer:
-2×(-2)×9
= 4×9
= 36
Step-by-step explanation:
lf you like my answer than please mark me brainliest thanks
Answer:
OPTION ( A) 36Step-by-step explanation:
(-2) (-2)(9)=36HOPE IT HELPS
PLZ HELP 10 POINTS!!
Answer:
i think its not equivalent but NOT sure
Step-by-step explanation:
The number 51 is decreased to 26. What is the percentage by which the number was decreased, to the nearest tenth of a percent?
Answer:
49.02%
Step-by-step explanation:
Difference:
= 51-26
= 25
Decreased percentage
= 25/51 * 100%
= 49.02
what is 6 1/4 divided by 5 evenly
Answer:
1 1/4
Step-by-step explanation:
here is the exact form if your looking for that. :)
5/4
and heres the decimal form if you are looking for that :>
1.25
Hello, hope everyone is well, please help on this Drag and Drop question (:
PLZZZ HELP!!!
Find an equation for the line below. 
Answer:
y = -¼x + ½Step-by-step explanation:
Given points (-2, 1) and (6, -1):
Start by solving for the slope of the line, using the following formula:
m = (y2 - y1)/(x2 - x1)
Let (x1, y1) = (-2, 1)
(x2, y2) = (6, -1)
m = (y2 - y1)/(x2 - x1)
m = (-1 - 1)/[6 - (-2)]
m = -2/(6 + 2) = -2/8 = -¼
Therefore, the slope of the line is m = - ¼.
Next, to determine the y-intercept (b), use one of the given points (6, -1) and the slope, and plug in these values into the slope-intercept form:
y = mx + b
-1 = -¼(6) + b
-1 = -3/2 + b
-1 + 3/2 = -3/2 + 3/2 + b
½ = b
Therefore, the y-intercept, b = ½.
The linear equation of the given graph is:
y = -¼x + ½