Answer:
12.5 kilograms
Step-by-step explanation:
Given:
Half of the granola served with breakfast.
Let the amount of Granola present initially = [tex]x[/tex] kg
Half of it ([tex]\frac{x}{2}[/tex]) served with breakfast, so remaining granola :
[tex]x-\dfrac{x}{2} = \dfrac{x}{2}[/tex]
After dinner, the remaining granola 6,250 gm granola was served with yogurt dessert.
First of all, let us convert it to kilogram because the answer is required in Kilograms.
We know that:
1000 gms = 1 kilograms
1 gms = 0.001 kilograms
6250 gms = 6250 [tex]\times[/tex] 0.001 = 6.250 kilograms
Now, as per given question statement:
[tex]\dfrac{x}{2} = 6.250\ kg\\\Rightarrow x = 2 \times 6.250\\\Rightarrow \bold{x = 12.5\ kg}[/tex]
So, the answer is:
Girl scout camp started with 12.5 Kilograms of granola.
A 3 L bottle of oil costs $36 and contains 12 cups. Dinesh puts 1 cup of oil, 10 garlic gloves and 1 cup of lemon juice in each batch of hummus recipe that he makes. Dinesh makes 5 batches of hummus. What is the total cost of oil that he uses in the 5 batches of his recipe?
Answer:
$15
Step-by-step explanation:
Let's start by figuring out how much 1 cup of oil costs.
12 cups of oil is 36$
Let's set up a proportion.
12/36=1/x
Cross Multiply
12x=36
Divide both sides by 12.
x=3
1 cup of oil is $3.
Dinesh makes 5 batches of hummus, and each batch requires 1 cup of oil.
5*1=5
This means he needs 5 cups of oil.
5*3=15
He used $15 worth of oil in the 5 batches of his recipe.
However, since it is impossible to buy 5/12 bottles of oil, he would have needed to spend $36.
what value of (m) makes this equation true
Answer:
-71
Step-by-step explanation:
(M+3)/4=-17
M+3=-17*4
M+3=-68
M=-68-3
M=-71
9.356, 9.543, 9.376, 10.459
Arrange the terms in ascending order.
9.356 , 9.376 , 9.543 , 10.459
The mean of a set of numbers is the sum divided by the number of terms.
9.6835
Arrange the data in an ascending order and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers.
9.4595
g) 145
Let's convert each of the following binary numbers into decimal number
a) 11, b) 101, c) 110 d) 1010
e) 1100
f) 10010,
g) 11111, h) 111010, i) 111001, 1 1100101
5. Let's convert each of the following decimal numbers into binary numbers.
a) 7
b) 18
c) 25
d) 72
e) 99
f) 124
h) 216 i) 308
i) 417
6. Let's convert each of the following quinary numbers into decimal numbers.
a) 13.
b) 24, c) 32
e) 203,
f) 340,
g) 1203, h) 2113 i) 1234, i) 4444
7. Let's convert each of the following decimal numbers into quinary numbers.
a) 9
b) 13
c) 27
e) 126
f) 212
h) 670 i) 1126 1 4025
d) 120,
d) 55
g) 512
Answer:
To convert binary into decimal, multiply each binary digit with a power of 2 corresponding to its position.
So for example 1010 would be 1·2³ + 0·2² + 1·2¹ + 0·2⁰ = 8+2 = 10 in decimal.
now you can calculate the answers yourself!
To convert decimal into binary, you can use the following approach:
Write down the answer from right to left
A. if your number is odd, write down a 1, if it is even, write a 0
B. divide the number by 2 and round down, ie. discard any decimals (e.g., 7 / 2 = 3)
C. repeat step A until your number is 0.
example:
18 -> write down 0
18/2 = 9 -> write down 1
9/2 = 4 -> write down 0
4/2 = 2 -> write down 0
2/2 = 1 -> write down 1
1/2 = 0 finished
The result is 10010.
Take the equation 103=-7(x+8)+7(x+7). Jamie says this equation has no solution. Mick says it does. Who is correct? Why?
[tex] 👋 [/tex] Hello ! ☺️
Step-by-step explanation:
[tex] 103 = - 7(x + 8) + 7(x + 7) [/tex]
[tex] 103 = - 7x - 56 + 7x + 49 = 0x + 7 [/tex]
0x= 7 => x ∉ |R
[tex]\boxed{\color{gold}{S = ∅}} [/tex]
Jamie is right.
* Any number multiplied by 0 gives 0.
30 x + 7 (3 - 4 x) =
Answer:
I'm a bit rusty. But try 58x +21
Hope I helped you.
Estimate the median number of texts sent per day by this group of middle school students.
Answer:
33 i think
Step-by-step explanation:
Answer:
49.5 texts
Step-by-step explanation:
The total number of students is
11+21+33+23+12 = 100
The middle is 50
150 is in the middle group
The median will be between 40 -59
The best estimate for the median is to add the 40+59 and divide by 2
(40+59)/2 = 99/2 = 49.5 texts
help me its my math....
If two parallel lines are cut by a transversal,
then alternate interior angles are congruent.
Since one alternate interior angle measures 60 degrees,
the other alternate interior angle must also measure 60 degrees.
Help help help help help
lets say for the first transformation x=1 and y=2
the transformation results in quadrant 2 (originating in quadrant 1) telling us it was a 90° counter-clockwise turn
for the second transformation we can let x=3 and y=4
transformation 2 results in quadrant 3 (originating in quadrant 1) telling us it was a 180° counter-clockwise turn
HOPE THIS HELPS!!!! :)
<333333333
Anyone know how to do this?
Answer:
120, 68, 72, 36, 32, 41, 31 (Left to right, top to bottom)
Step-by-step explanation:
When looking at the tree, we start from left to right. That means the numbers on the left are larger and get smaller as we move to the right. The very first one on the left is 120 since there are 120 in the theater.
We know that 72 are female so we can put that in the lower bubble of the second column. From this information, we can find the # of males.
140-72=68. We can put 68 in the upper bubble of the second row.
We can first finish the male side with ice cream. We know 36 purchased ice cream which goes in the top bubble on the right. Now we subtract to find the remainder. 68-36=32. 32 goes right below 36
Now we go to the female side. 41 bought ice cream. This goes in the one 3rd down on the right. 72-41=31. 31 goes right below 41
Answer:
There are 120 people (both male and female)
48 male = 36 bought ice cream
12 without an ice cream
72 female = 41 bought ice cream
31 without ice cream
Hope it helps :>
Which of the following is a like radical to RootIndex 3 StartRoot 6 x squared EndRoot? x (RootIndex 3 StartRoot 6 x EndRoot) 6 (RootIndex 3 StartRoot x squared EndRoot) 4 (RootIndex 3 StartRoot 6 x squared EndRoot) x (RootIndex 3 StartRoot 6 EndRoot)
Answer:
4 (RootIndex 3 StartRoot 6 x squared EndRoot) = 4[tex]\sqrt[3]{6x^2}[/tex]
Step-by-step explanation:
Added radical forms to the question for better visibility.Which of the following is a like radical to RootIndex 3 StartRoot 6 x squared EndRoot = [tex]\sqrt[3]{6x^2}[/tex] ?
x (RootIndex 3 StartRoot 6 x EndRoot) = x[tex]\sqrt[3]{6x}[/tex] 6 (RootIndex 3 StartRoot x squared EndRoot) = 6[tex]\sqrt[3]{x^2}[/tex] 4 (RootIndex 3 StartRoot 6 x squared EndRoot) = 4[tex]\sqrt[3]{6x^2}[/tex] x (RootIndex 3 StartRoot 6 EndRoot) = x[tex]\sqrt[3]{6}[/tex]SolutionLike radicals are radicals that have the same root number and expression under the root.1) x[tex]\sqrt[3]{6x}[/tex] = [tex]\sqrt[3]{6x^4}[/tex]
No, incorrect2) 6[tex]\sqrt[3]{x^2}[/tex] = [tex]\sqrt[3]{6^3x}[/tex]
No, incorrect3) 4[tex]\sqrt[3]{6x^2}[/tex]
Yes, correct4) x[tex]\sqrt[3]{6}[/tex] = [tex]\sqrt[3]{6x^3}[/tex]
No, incorrectCompared with the given radical, we can see from the given choices only 3rd choice is like radical with [tex]\sqrt[3]{6x^2}[/tex]
Answer:
c
Step-by-step explanation:
i just did it
how do i solve (−7z 4 )(7z)
Answer:
-49z^5
Step-by-step explanation:
(−7z^ 4 )(7z)
Multiply the numbers together
-7*7 = -49
Add the exponents
z^4 * z = z^4 * z^1 = z^(4+1) = z^5
Put back together
-49z^5
Alan buys 5.3 ounces of sour patch kids candy. After sharing with his friends he returns to buy an additional 6.75 ounces. How many ounces did he buy in all?
Answer:
Alan buys 12.05 ounces of sour patch kids candy in all.
Step-by-step explanation:
We are given that Alan buys 5.3 ounces of sour patch kids candy. After sharing with his friends he returns to buy an additional 6.75 ounces.
And we have to find the total ounces he buys in all.
As we know that for finding the total quantity or amount, we will use addition for calculating it.
Firstly, Alan buys = 5.3 ounces of sour patch kids candy
Additional ounces of sour patch kids candy Alan buys = 6.75
So, the total ounces of sour patch kids candy he buys in all = 5.3 + 6.75
= 12.05 ounces
Hence, he buys 12.05 ounces in all.
Kristen has an area of 70 square feel for a flower garden she plants 5 varieties of flowers equally in her garden which ratio shows the square feel per flower type
Answer:
Each flower type area ratio = 14 ft²
Step-by-step explanation:
Given:
Total area = 70 ft²
Total equal varieties = 5
Find:
Each flower type area ratio
Computation:
There is 5 equal part of land
So,
Ratio = 1:1:1:1:1
Assume each part cover = x
So
Total area = 5x
5x = 70 ft²
x = 14 ft²
Each flower type area ratio = 14 ft²
How many real number solutions does the quadratic below have? y=2x^2-10x+6
Answer:
2 real number solutions.
Step-by-step explanation:
You check the value of the discriminant b^2 - 4ac.
Here it = (-10)^2 - 4*2* 6)
= 100 - 48
= 52. (Positive)
This means that it has 2 real number solutions.
If the discriminant = 0 it has one real number solution and if negative it has no real number solutions.
Answer:
i think its 2 real number
Step-by-step explanation:
convert 2.16161616 to a rational number in the form of a/b
Answer:
[tex]\frac{214}{99}[/tex]
Step-by-step explanation:
We require to create 2 equations with the repeating digits after the decimal point. Then by subtracting them we eliminate the repeating part.
let x = 2.1616.... → (1)) ← multiply both sides by 100
100x = 216.1616..... → (2)
Subtract (1) from (2)
99x = 214 ( divide both sides by 99 )
x = [tex]\frac{214}{99}[/tex]
The utility industry had 428.5 thousand jobs in 2010 and is expected to decline at an average rate of 3 thousand jobs per year from 2010 to 2020. Assuming this holds true, what will be the utility’s percent change from 2010 to 2020?
Answer:
Utility's percent Change from 2010 to 2020 = 7%
Step-by-step explanation:
Jobs available at the utility industry in 2010= 428.5 thousand
Average rate of decline = 3 thousand
Years between 2010 and 2020
Utility's percent Change from 2010 to 2020 = Total change in jobs / jobs in 2010 × 100
Total change in jobs:
There are 10 years between 2010 and 2020
Jobs decline at an average of 3 thousand per year
Total change in jobs= 10 years × 3 thousand
= 30 thousand
Utility's percent Change from 2010 to 2020 = Total change in jobs / jobs in 2010 × 100
= 30 thousand / 428.5 thousand × 100
= 0.07 × 100
= 7%
Utility's percent Change from 2010 to 2020 = 7%
What is the power
property of exponents?
1) what is the answer to 2^-2x2^-4
Answer:
[tex]\frac{1}{64}[/tex]
I hope this helps!
Answer:
1/64
Step-by-step explanation:
mentally calculated
no explanation
There are 65 children in a form 1. There are 15 more boys than girls. What is
the ratio of boys to girls, in its simplest form?
Answer:
8:5
Step-by-step explanation:
there are 25 girls, and 40 boys, so you find the common factor between them,which is 5 and divide each number by 5.
25/5=5 girls
40/5=8 boys
so the ratio of boys to girls is 8:5
Question 2 (10 points)
(01.03 MC)
A plane can fly 11 miles per minute. The plane will fly 6 trips, and each trip is 500 miles. How many hours will the plane fly?
Answer:
4hrs 33mins
Step-by-step explanation:Speed = 11m/min
Total distance=500miles*6=3000miles
Total time= 3000miles/11m/min=273minutes = 4hrs 33mins
f(x) =x^2 +4x-60 and g(x) =x-6, find (f•g) (x) and express the result in standard form
Answer:
[tex](f o g)(x) = f(g(x))\\ = f(x-6)\\ = (x-6)^{2} +4(x-6)-60\\ = x^{2} -12x+36+4x-24-60\\ = x^{2} -8x-48\\ = (x-12)(x+8)[/tex]
Step-by-step explanation:
Hi pls help if you’re good at trigonometrytysm
Answer:
a = 80
b = 310
c = 96
Step-by-step explanation:
1)
20 + a + a = 180
2a + 20 = 180
2a = 160
a = 80
2)
180 - 65 - 65 + b = 360
b + 50 = 360
b = 310
3)
52 + c + 32 = 180
c + 84 = 180
c = 96
please help :) Kiran explores the growth of a plant in natural light, then repeats the experiment with the same plant type but different colored filters. A. asking a question B. performing an investigation C. collecting data D.providing explanations E. communication results
Answer:
Its c
Step-by-step explanation:
I answered this same question Heh. Its c because you have to collect the data in order to record the growth of each plant.
The square of 1 3/4 is
Answer:
169/16
Step-by-step explanation:
13/4
what is a square at first
a square is the result of multiplying a number by itself
so the square of 13 will be 169
and the square of 4 will be 16
so easy...bingo
A cubic polynomial can have atmost
---zeros
Answer:
3Step-by-step explanation:
Any polynomial can only have as many zeros as is the highest exponent at x.
A cubic polynomial it's: ax³+bx²+cx+d. The highest exponent at x is 3 so it is the largest number of its zeros.
how does the value of the 9 in 857.9 differ from the value of 9 in 798.21
Step-by-step explanation: The 9 in 857.9 differs from the value of 9 in 798.21 because in 857.9, the 9 is in the tenths place, while in 798.21, it is in the tens place.
Which of the following is equivalent to 2x2 + 9x + 9?
(x - 3)(2x - 3)
(x + 3)(2x + 3)
(x - 9)(2x - 1)
(x + 9)(2x + 1)
Answer:
(x+3)(2x+3)
Step-by-step explanation:
Factor:
2x^2+9x+9
=(2x+3)(x+3)
Answer:
(x + 3)(2x + 3)
Step-by-step explanation:
Sum = 9
Product = 2*9 = 18
Factors = 6 ,3
2x² + 9x + 9 = 2x² + 6x + 3x + 3 * 3
= 2x ( x + 3) + 3( x + 3)
= (x +3)(2x + 3)
Simplify (-5) ^3 125 -15 15 -125
Answer:
=−17265
Step-by-step explanation:
(−5)3(125)−1515−125
=−17265
Answer:
-125
Step-by-step explanation:
HAVE A GREAT DAY EVERYONE...equivelnt to 3(4h+2k)
Answer:
I would assume it would be 12h+6k
Answer:
Step-by-step explanation:
Use distributive property
a(b+c) = a*b + a*c
3(4h + 2k) = 3*4h + 3 *2k
= 12h + 6k