To determine the greatest number of full batches of trail mix that can be made, divide the total quantity of each ingredient by the required amount per batch.
Explanation:To determine the greatest number of full batches of trail mix that can be made, we need to compare the quantities of granola and peanuts. First, we calculate the number of full batches we can make using granola. Since each batch requires 12 cups of granola, we divide the total quantity of granola (12 cups) by the required amount per batch (12 cups). The result is 1 full batch.
Next, we determine how many batches we can make using the peanuts. Since each batch requires 8 1/2 cups of peanuts, we divide the total quantity of peanuts (8 1/2 cups) by the required amount per batch (8 1/2 cups). The result is 1 full batch.
Therefore, the greatest number of full batches of trail mix that can be made is 1 batch.
How Do You Find The Measures Of These Angles ?? (Using The Picture On The Right)
opposite angles equal each other so if angle 2 is 97, then angle 3 is also 97
6 & 5 need to equal 180 so if 6 = 83, then 5 = 180-83 = 97
Angle 10 = angle 2 = 97
angle 7 = angle 6 = 83
angle 9 = angle 6 = 83
angle 16 = angle 5 = 97
Cody was going to sell all of his stamp collection to buy a video game. after selling half of them he changed his mind. he then bought seventeen more. how many did he start with if he now has 44?
Cody started with 54 stamps in his collection. The problem was solved using basic algebra by setting up an equation and working backwards.
Explanation:The subject of this question is mathematics, specifically dealing with a basic algebra problem that requires working backwards to find the original number of items in a collection. To solve the problem, we can set up an equation to represent the scenario given:
Let's call the original number of stamps 'x'. After selling half of them, Cody would have ½x. When he buys seventeen more stamps, the equation to represent this situation is ½x + 17 = 44. To find the value of 'x', we need to subtract 17 from both sides of the equation, which gives us ½x = 44 - 17 or ½x = 27. To find the full value of x, we multiply both sides of the equation by 2, which gives us x = 27 * 2 or x = 54.
Therefore, Cody started with 54 stamps in his collection.
What’s the unit rate for 3 2/3 feet per 11/60 hour?
Answer:
20 feet per hour
Step-by-step explanation:
To find the unit rate of the given scenario
[tex]3\frac{2}{3} \text{ feet per }\frac{11}{60} \text{hour}[/tex]
Unit rate: The given rate per unit time.
So, divide the feet by time
Unit rate [tex]=\dfrac{11}{3}\div \dfrac{11}{60}[/tex]
[tex]=\dfrac{11}{3}\times \dfrac{60}{11}[/tex]
[tex]=20\text{ feet/hour}[/tex]
Unit rate is 20 feet per unit time.
Hence, The unit rate is 20 ft/h
A computer store bought a program at a cost of 20$ and sold it at a selling price of 24$ find the percent markup
You have $12 to buy five goldfish for your new fish tank. Write and solve an inequality that represents that prices you can pay per fish.
The prices you can pay per fish can be represented by the inequality 5x ≤ 12. After solving the inequality, the maximum price you can pay per fish is $2.40.
Explanation:To write the inequality that represents the prices you can pay per fish, let's assume that the price of each goldfish is 'x' dollars. Since you have $12 in total, the inequality can be written as:
5x ≤ 12
To solve this inequality, divide both sides by 5:
x ≤ 2.4
Therefore, you can pay at most $2.40 per fish.
Subtract −7n+2 from 2n−1 .
Answer:
Subtracting −7n+2 from 2n−1 is 9n - 3.
Step-by-step explanation:
As the expression given in the question be as follow.
−7n+2 and 2n - 1 .
Subtracted −7n+2 from 2n - 1 .
= 2n - 1 - (-7n + 2)
Open the bracket
= 2n - 1 + 7n - 2
Simplify the above
= 9n - 3
Therefore Subtracting −7n+2 from 2n−1 is 9n - 3.
what is (24^3)^-3 × (40÷4+14)^10 over (fraction bar) (96÷8)+(39÷3-1) ??????
During a day a student spends 7 hours sleeping, ¹/4 of the day studying and of the time travelling. What fraction of the day is left for other things?
Answer:
[tex]\dfrac{5}{24}[/tex]
Step-by-step explanation:
Time Spent Sleeping=7 hoursTime Spent Studying=[tex]\frac{1}{4}[/tex] of the dayTime Spent Travelling=[tex]\frac{1}{4}[/tex] of the dayThere are 24 hours in a day, therefore:
Time Spent Studying=[tex]\frac{1}{4}[/tex] X 24 =6 HoursTime Spent Travelling=[tex]\frac{1}{4}[/tex] X 24 =6 HoursThe total hour used for sleeping, studying and travelling=7+6+6=19 hours
Hours used for other things=24-19=5 hours
Therefore, the fraction of the day used for other things=[tex]\dfrac{5}{24}[/tex]
0.009842 in scientific notation
Marty plans to make an alien costume for a party.He needs 7/8 yard of fabric and 1 1/2 yards of aluminum foil for the costume.fabric costs $5 per yard. Will the fabric needed to make the costume cost more than $5 or less than $5
Estimate the value of 9.9 squared x 1.79
Final answer:
To estimate the value of 9.9 squared times 1.79, round 9.9 to 10, square it to get 100, and multiply by 1.79 to get an estimate of 179.
Explanation:
The question asks to estimate the value of 9.9 squared times 1.79. To estimate this value, we can round 9.9 to the nearest whole number, which is 10. Then we square 10 to get 100, and multiply this by 1.79.
So, the estimated value would be:
102 × 1.79 = 100 × 1.79 = 179
This estimation approach uses basic arithmetic principles and rounding techniques to simplify the calculation.
Why do you subtract exponents when dividing powers with the same base
Answer:
[tex]\displaystyle\frac{x^r}{x^s} = x^{r-s}[/tex]
Step-by-step explanation:
The quotient rule of exponential power states that:
[tex]\displaystyle\frac{x^r}{x^s} = x^{r-s}[/tex]
This can be easily understood with the help of an example:[tex]\displaystyle\frac{x^4}{x^2} = \displaystyle\frac{x\times x\times x\times x}{x\times x} = x^2 = x^{4-2}[/tex]
Basically, this quotient rule helps us to reducing the fractions. Since the numerator and the denominator is same as we have same base, we could simply subtract the powers to get the answer as illustrated in the above example.
When dividing powers with the same base, subtracting exponents simplifies the expression due to the quotient of powers rule is [tex]a^m / a^n = a^{(m - n).[/tex]
When dividing powers with the same base, subtract the exponents because of the properties of exponents.
The rule is known as the "quotient of powers" rule, and it states that when you divide two powers with the same base,
subtract the exponents to simplify the expression.
The rule can be stated as follows:
[tex]a^m / a^n = a^{(m - n).[/tex]
Here's why this rule works,
Let's say you have a number 'a' raised to two exponents 'm' and 'n':
[tex]a^m[/tex]= a × a × a ×... (m times)
[tex]a^n[/tex] = a × a × a × ... (n times)
Now, to divide these two powers, cancel out the common factors:
[tex]a^m / a^n[/tex] = (a × a × a ×... ... × a) / (a × a × a ×...... × a)
In the numerator and denominator, there are 'm' and 'n' occurrences of 'a', respectively.
Since we are dividing, we can cancel out 'n' occurrences of 'a' from the numerator and denominator:
[tex]a^m / a^n[/tex] = (a × a × a ×... ... × a) / (a × a × a ×...... × a)
= [tex]a^{(m - n)[/tex]
Therefore, when divide powers with the same base, subtract the exponents to simplify the expression and apply this property of exponents.
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20 points
please help
in return brainliest and special thanks
Use doubles to find the sum of 7+8
A translation of trapezoid PQRS (blue) to trapezoid P'Q'R'S' (green) is shown, where the location of Q' is the origin. The coordinates of point R' are
On USATestprep the answer is C) (c-a,-b)
The coordinates of point R' are (-c, b-d).
What is the translation?A translation in math moves a shape left or right and/or up or down. The translated shapes look exactly the same size as the original shape, and hence the shapes are congruent to each other. They just have been shifted in one or more directions.
Given that, a translation of trapezoid PQRS (blue) to trapezoid P'Q'R'S' (green).
Translation rules:
When the shape is moved down by k units, then replace y with y - k.
So, the coordinates of point R' are (-c, b-d)
Therefore, the coordinates of point R' are (-c, b-d).
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There are 32 students in the 6th grade at Garden Valley Middle School. Eight of them have freckles. What is the ratio of 6th graders with freckles to the total number of 6th graders?
A. 4:1
B. 1:3
C. 1:4
D. 3:1
In George’s neighborhood there are 33 cats and 33 dogs roaming free.What percent of the animals roaming free are dogs?
A.35%
B.40%
C.45%
D.50%
a truck that can carry no more than 6400 lb is being used to transport refrigerators and upright pianos. Each refrigerator weighs 250 lb and each piano weighs 475 lb. Write and graph an inequality to show how many refrigerators and how many pianos that truck could carry . WIll 12 refridgerators and 8 pianos overload the truck? Explain.
Answer: 250 r+ 475p≤ 6400
12 refrigerators and 8 pianos will overload the truck.
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
Truck capacity: 6400 (no more than means that the weight of the products must be equal to 6400 lbs or less) Weight of one piano: 475 Weight of one refrigerator: 250So, the inequality that represents this case is :
250 r+ 475p≤ 6400
Where:
r = number of refrigerators
p = number of pianos
For 12 refrigerators and 8 pianos we simply replace the values:
250 (12) + 475 (8) ≤ 6400
3000+3800≤ 6400
6800≤ 6400
6800 lbs will overload truck. Because 6800lbs exceeds the capacity of the truck.(6400 lb)
the sum of three consecutive number odd integers is 18 less than five times the middle number find the three integers
1st number = x
2nd number = x+2
3rd number = x+4
x + x+2 +x+4 = 3x+6
3x+6 = 5(x+2)-18
3x+6 = 5x+10-18
3x+6 = 5x-8
3x+14 =5x
14 = 2x
x = 14/2 = 7
1st number = 7
2nd number = 7+2 = 9
3rd number = 7+4 = 11
Mrs. Gomez is a mother to 2 boys. The number of children she has is three times the number of boys she has. Her children are planning to buy her a bouquet of flowers. What is the biggest bouquet they can buy in which the ratio of pink flowers to blue flowers matches the ratio of girls to boys if the florist has 9 blue carnations and 12 pink carnations left?
Answer:
it is d for the people on edge
Step-by-step explanation:
help with geometry please
What number needs to be added to both sides of the equation in order to complete the square?
x^2+16x=18
r/5 - 6 = -1
A) r = 1
B) r = 5
C) r = 10
D) r = 25
Explain how you can solve 8x8 if you know how to multiply with 4 but not how to multiply with 8
there are 36 students in the class chess club, 40 students in the drama club, and 24 students in the film club . what is the ratio of students in the drama club to students in the film club
1/20=0.05. Which calculation is NOT a way to find 14/20?
a. 0.5+0.05
b. 0.75−0.05
c. 14÷20
d. 14·0.05
The calculation that is NOT a relevant way to find the value of 14/20 is given by option a: 0.5 + 0.05.
Let's find the value of 14/20 first:
To find 14/20, divide 14 by 20:
14 ÷ 20 = 0.7
Now, let's check each calculation:
a. 0.5 + 0.05 = 0.55 (Not relevant to finding 14/20)
b. 0.75 - 0.05 = 0.7 (Relevant, as this gives us 14/20)
c. 14 ÷ 20 = 0.7 (Relevant, as this is the correct calculation for 14/20)
d. 14 × 0.05 = 0.7 (Relevant to finding 14/20)
Therefore, the calculation that is NOT a way to find 14/20 is option a: 0.5 + 0.05.
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A deposit of $94 positive or negative
Simplify.
42+25
A.21
B.29
C.41
D.51
Im actually pretty sure its C because 4 to the power of 2 is 16 and then add those too up 16+25=41
Answer:
The answer is C. 41
Step-by-step explanation:
So i did the test. and got it right!
Heh...-
This scatter plot shows the association between the amount of fat and the total amount of calories in a few food items. What is the calorie content of foods that contain 14 grams of fat?
A. about 100 calories
B. about 300
C. about 340
D. about 410
E. about 530
Answer:
Answer is C
Step-by-step explanation:
The calorie content of foods that contain 14 grams of fat is about 410.
What is Scatter plot?A set of dots plotted on a horizontal and vertical axis is known as a scatter plot. Since they can demonstrate the degree of connection, if any, between the values of observed quantities or events, scatter plots are crucial in statistics (called variables).
A scatter plot is made up of a vertical axis that represents the measurements of the other variable and a horizontal axis that contains the measured values of the independent variable (dependent variable).
We have,
A scatter plot shows the association between the amount of fat and the total amount of calories in a few food items.
From the scatter plot, for 14 grams of fat the calories lies in between 300 and 400.
So, we can conclude from the scatter plot is 340.
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90 points!! Forreal!
What is the justification for each step in the solution of the equation?
−2(x−1)+12=4x−6
Select from the drop-down menus to correctly justify each step
-2(x-1)+12=4x-6 - (GIVEN)
-2+2+12=4x-6 - ______ ?
-2x+14=4x-6 - (COMBINE LIKE TERMS)
-2x=4x-20 - ________ ?
-6x=-20 - (ADDITON OR SUBTRACTION OF EQUALITY)
x=20/6 - _____ ?
x=10/3 - (SIMPLIFY)
Distributive Property
Addition or Subtraction Property of Equality
Multiplication or Division Property of Equality