There are 80 cupcakes to be sold at school for a
fundraiser.
1/4 were chocolate
1/5 were vanilla
The rest were strawberry flavored. How many
cupcakes were strawberry flavored?
Answer:
44
Step-by-step explanation:
Let S = strawberry count
Chocolate = 1/4 * 80 = 20
Vanilla = 1/5 * 80 = 16
Total = C + V + S
80 = 20 + 16 + S
80 - 20 - 16 = S = 44
Unit rate $46 for 5 toys
Answer:
$9.20
Step-by-step explanation:
you divide 46 by 5 and you get 9.20
Answer:
9.50
Step-by-step explanation:
$46 divided by 5 which equals $9.50
Please answer ASAP question is in pic^
Answer:
Step-by-step explanation:
Original equation
√x+6-4 = x
Isolate
√x+6 = 4+x
Raise both sides to the second power
(√x+6)2 = (4+x)2
After squaring
x+6 = x2+8x+16
Rearranged equation
x2 + 7x + 10 = 0
This equation has two rational roots:
{x1, x2}={-2, -5}
Original equation, root isolated
√x+6 = 4+x
Plug in -2 for x
√(-2)+6 = 4+(-2)
Simplify
√4 = 2
Solution checks !!
Solution is:
x = -2
Original equation, root isolated
√x+6 = 4+x
Plug in -5 for x
√(-5)+6 = 4+(-5)
Simplify
√1 = -1
Solution does not check
1 ≠ -1
15) Darla's marching band needs money to travel to a competition. Band
members have raised $580. They need to raise a total of $1660. Write
and solve an equation to find how much more they need.
Step-by-step explanation:
$1660-$580= $1,080
Answer:
1660 minus 580
Step-by-step explanation:
they have already raised 580. so get 1660 is to subtract 1660 to 580
The sum of 9 and a number is twice a number plus 14. Write an equation.
Answer:
9+x = 2y+14
Step-by-step explanation:
It says 9 plus a number, so plug in x for 'a number', and it says 'is twice a number plus 14'. Plug in '=' for is another variable for 'a number', and last but not least, just put +14 for plus 14
Helppppp meeeeeeeeeeeehhhh
Answer:
9.00002 and 0.009 igs I am trying my best to understand lol
What is the solution to the equation 3(y-2)=2y-8 A.-2/5 B.-14 C. -2 D. -2 4/5 I NEED-HELP PLeAse
Answer:
y = -2
Step-by-step explanation:
3(y-2)=2y-8
3y - 6 = 2y - 8
y - 6 = -8
y = -2
1/4(x-2)+4=12 can someone explain how to solve for x by steps?
¼(x - 2) + 4 = 12 / · 4
x - 2 + 16 = 48
x + 14 = 48
x = 48 - 14
x = 34
Dana can type nearly 90 words per minute. Use this information to find the number of hours it will take her to type 2.6 x 105 words ,convert between standard decimal notation and scientifc
We can solve this problem by using the fact that speed of typing is defined as the words typed in unit time.
Dana will type [tex]2.6\times 10^5[/tex] words in 48.15 hours.
It's given in the question,
Dana can type 90 words per minute.Since, 1 minute = [tex]\frac{1}{60}[/tex] hours
Therefore, number of words she can type = [tex]\frac{90}{\frac{1}{60}}[/tex]
= 90×60
= 5400 words per hour
She types [tex]2.6\times 10^5[/tex] words in 'x' hours.Number of words Dana types with the given speed in 'x' hours = Speed of typing × Time
= [tex]5400\times x[/tex]
Therefore, [tex]5400\times x =2.6\times 10^5[/tex]
[tex]5400x=260000[/tex]
[tex]x=\frac{260000}{5400}[/tex]
[tex]x=48.15[/tex] hours
Therefore, Dana types [tex]2.6\times 10^5[/tex] words in 48.15 hours.
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Adding with missing numbers Grade 6 Addition Worksheet Find the missing numbers. + 91 + 5623 + 911 = 6630
Step-by-step explanation:
let the no. be x
x+91+5623+911=6630
or,x+6625=6630
or,x=6630-6625
ans=5
Given: g(t) =t+5 and h(t) = 3t-2
Find: (goh)(-4+t)
Answer:
3t - 9Step-by-step explanation:
Given:
g(t) = t + 5 and h(t) = 3t - 2Find the composite function (g·h)(t):
(g·h)(t) = g(h(t)) = (3t - 2) + 5 = 3t + 3Find (g·h)(-4 + t):
(g·h)(-4 + t) = g(h(-4 + t)) = 3(-4 + t) + 3 = -12 + 3t + 3 = 3t - 9The given information is,
→ g(t) = t + 5
→ h(t) = 3t - 2
Now we have to,
find the composite function (g•h)(t),
→ (g•h)(t)
→ g(h(t))
→ (3t - 2) + 5
→ 3t + 3
Let's find the (g•h)(-4 + t):
→ (g•h)(-4 + t)
→ g(h(-4 + t))
→ 3(-4 + t) + 3
→ -12 + 3t + 3
→ 3t - 9
Hence, the value is 3t - 9.
solve square root equation.
2x^2-25=73
Answer:
[tex]2 {x}^{2} - 25 = 73 \\ 2 {x}^{2} = 73 + 25 \\ 2 {x}^{2} = 98 \\ {x}^{2} = 98 \div 2 = 49 \\ {x}^{2} = 49 \\ x = \sqrt{49} = 7 \\ x = 7 \\ thank \: you[/tex]
Four times the sum of twice a number and -3 is less than times that same number
List all the elements of the following set. Use set notation and the listing method to describe the set. { 2,4,8,...,256}
All the elements of the given set {2,4,8,...,256} are - {2, 4, 8, 16, 32,64, 128, 256} that are total 8 in numbers.
The set is formed by the number of objects in a particular manner, these objects are called elements of the set. The elements of the set are written inside a curly bracket separated by a comma in a particular or specific order.
There are two methods to represent the set and its elements that are:
Set notation: define the elements and properties of sets using symbols that help in describing the relationship between elements in the set.in this case, {[tex]2^{1},2^{2},2^{3},2^{4},2^{5},2^{6},2^{7},2^8[/tex]} as we know,
so the set notation would be :
= {x:x = [tex]2^{n}[/tex], n∈N and 1 ≤ n ≤ 8}
listing method: simple method that include the members or elements of the set are written as a list, separated by the comma and enclosed within the curly braces.The listing method: {2, 4, 8, 16, 32,64, 128, 256}\
Thus, the above mention set is all the elements of the set.
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Consider the function f whose graph is shown below. Find f(-2)
Answer:
Step-by-step explanation:
See the picture below
seven subtracted from the product of four and a number is a most 26 use the variable C for the unknown number
Nolan and his children went into a grocery store and he bought $8 worth of apples
and bananas. Each apple costs $2 and each banana costs $0.40. He bought 5 times as
many bananas as apples. By following the steps below, determine the number of
apples, 2, and the number of bananas, y, that Nolan bought.
To solve this problem form the system of equations first, then solve them to find the values of the variables.
Nolan bought 2 apples and 10 bananas.
It's given that,
Nolan and his children bought fruits (Apples and bananas) worth $8.Cost of each apple and bananas are $2 and $0.40 respectively.Let the number of bananas he bought = y
And the number of apples = x
Therefore, cost of the apples =$2x
And the cost of bananas = $0.40y
Total cost of 'x' apples and 'y' bananas = $(2x + 0.40y)
Equation representing the total cost of fruits will be,
(2x + 0.40y) = 8
10(2x + 0.40y) = 10(8)
20x + 4y = 80
5x + y = 20 --------(1)
If he bought 5 times as many bananas as apples,
y = 5x ------(2)
Substitute the value of y from equation (2) to equation (1),
5x + 5x = 20
10x = 20
x = 2
Substitute the value of 'x' in equation (2)
y = 5(2)
y = 10
Therefore, Nolan bought 2 apples and 10 bananas.
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Can someone help me again pls?
Answer:
94,237,108?
Step-by-step explanation:
You need to buy a carpet that measures 7.5 yards long and 5 yards wide and costs $49.50 per square yard. How much will the carpet for the room cost?
Answer:
$1,856.25
Explanation:
To find the square yards, multiply length and width
7.5 * 5 = 37.5
Then, since each square yard costs $49.50, multiply the square yards and the cost
37.5 * 49.50 = 1,856.25
Thus the answer is $1,856.25
The carpet for the room will cost $1,856.25.
This is the product of the unit cost per square yard multiplied by the area of the room.
The area of the room is = 37.5 square yards (Length x Width)
Length of the room = 7.5 yards
Width of the room = 5 yards
Therefore, the total area of the room = 37.5 square yards (7.5 x 5)
Thus, the total area of the room is 37.5 square yards and since each square yard costs $49.50, the total cost for buying the carpet will cost $1,856.25 ($49.50 x 37.5).
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HELP ASAP: The graph of a function g is shown below.
Use the graph of the function to find its average rate of change from x=-1 to x=3.
Simplify your answer as much as possible.
ry
8-
6-
4
2-
.
-8
-6
4
- 2
2
10
HHHHHANEL
4
6
Answer:
as all the other identical copies : 2
Determine which of the given points are on the graph of the equation.
Equation: x² + y2 = 2
Points: (1, -1), (-1,0), (1,1)
Which of these points are on the graph of the equation? Select all that apply.
A. (1, -1)
B. (1,1)
C. (-1,0)
D. None of the points are on the graph.
Answer:
D. none
Step-by-step explanation:
to figure out if the point is on the graph, take the x value and plug it in to the x coordinate, do the same for y. if the values truly add up to 2, then it is on the graph. Since none of the values add up to 2, they are not on the graph.
If sin (A + B) = 1 and cos (A - B) = 1, find A, B
Step-by-step explanation:
sin (A + B) = 1 =sin 90
A+B=90 equation 1
cos (A - B) = 1=cos 0
A-B=0 equation 2
add 1 and 2
2A=90 A=45
2B=90 B=45
A baby panda born at a national zoo weighed 8 ounces at birth and reached 75 pounds
at one year
What was the panda's growth rate per month? Per week?
of age.
Here, we need to find the monthly and the weekly growth rate
The monthly growth rate is 99.33 ounces and the weekly growth rate is 22.9 ounces
Weight at birth = 8 ounces
Weight at one year =75 ounces
1 pound = 16 ounces
75 pounds = 1200 ounces
Additional weight after birth = Weight at one year - Weight at birth
= 1200 ounces - 8 ounces
= 1,192 ounces
There are 12 months in a year
Growth rate per month = Additional weight after birth / 12
= 1,192 / 12
= 99.33 ounces per month
There are 52 weeks in a year
Growth rate per week = Additional weight after birth / 52
= 1,192 / 52
= 22.9 ounces per week
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A population of hoofed mammals lived on the west Texas prairie. In one large herd of 800 animals: 100 bison, 400 antelope, 200 deer, and 100 are wild cattle. What are the percentages of each species in the population
Answer:
13%
Step-by-step explanation:
how to solve 8 – 6 ∙ 4 + 10 ÷ 2 =
Answer:
3
Step-by-step explanation:
apply the BODMAS method
Proving functions are inverses of each other: are these inverses of each other band can you explain why or why not.
9514 1404 393
Answer:
a) J(K(x)) = x; K(J(x)) = x; functions are inverses
b) f(g(x)) = 8 -x; g(f(x)) = -x; functions are not inverses
c) f(x) = 4 -x; f^-1(x) = 4 -x. g(x) = x -4; g^-1(x) = x +4
Step-by-step explanation:
a) Substitute for the function argument in the usual way. If the functions are inverses, their composite is the identity function.
J(K(x)) = J(1/3x -2) = 3(1/3x -2) +6 = x -6 +6 = x . . . . functions are inverses
K(J(x)) = K(3x +6) = 1/3(3x +6) -2 = x +2 -2 = x . . . . functions are inverses
__
b) f(g(x)) = f(x -4) = 4 -(x -4) = 4 -x +4 = 8 -x . . . . functions are not inverses
g(f(x)) = g(4 -x) = (4 -x) -4 = -x . . . . functions are not inverses
__
c) To find the inverse function for y = f(x), solve x = f(y).
The inverse of f(x) = 4 -x is ...
x = f(y) = 4 -y
y = 4 -x . . . . . add y-x to both sides
f^-1(x) = 4 -x
and for g(x) = x -4, the inverse is ...
x = g(y) = y -4
x +4 = y
g^-1(x) = x +4
Evaluate m^2 -4m+2 for m =-2
Answer:
answer is 6
Step-by-step explanation:
m^2 - 4m + 2
-2(2) - 4(-2) + 2
-4 + 8 + 2
-4 + 10
6
I need help! Really bad a math.
Answer:
-72
Step-by-step explanation:
Substitute -4 in the equation
h(-4) = -20 + 13(-4)
h(-4) = -20 + -52
h(-4) = -72
-72 is the final answer
Answer:
Step-by-step explanation:
You are giving away a lot of points. Usually 20 will attract our attention. I mean you put up 20 and we get 10. It's enough.
h(t) = - 20 + 13t
First of all you need to understand that h(t) is a y value. The t is the x value.So when you see something in h(t)s value that isn't t, that's what you put in the value for t on the right side. That's the key to the problem.In this case t is going to be - 4
h(-4) = -20 + 13(-4)
h(-4) = -20 - 52
h(=4) = -72
What is m∠A? ???????
Answer:
A=124°
Step-by-step explanation:
5x - 5 = 180
5x = 185
x = 37
A=124
n - 5.5 = 8.3 please help ASAP
Answer:
= 2.8
Step-by-step explanation:
8.3 - 5.5 = 2.8
= 2.8
