ve. Cesar bought 2 bott many quarts of juice did he buy? bought 2 bottles of juice that each hold 2 quarts other bottle that holds 1z gallons of juice.How many quarts of juice did he buy
Answers
One gallon = 4 quarts
Have a great day.
Cesar purchased a total of 10 quarts of juice after converting [tex]1\frac{1}{2}[/tex] gallons to quarts and adding it to the quarts from the two bottles.
Cesar bought 2 bottles of juice that each hold 2 quarts and another bottle that holds [tex]1\frac{1}{2}[/tex] gallons of juice. To find out how many quarts of juice he bought in total, we need to convert gallons to quarts.
We know that there are 4 quarts in 1 gallon, so [tex]1\frac{1}{2}[/tex] gallons equal 6 quarts ( [tex]1\frac{1}{2}[/tex] × 4 quarts/gallon).
Adding the quarts from the two bottles, we have 2 × 2 quarts which equal 4 quarts. Now, add the quarts from the single bottle to the total:
4 quarts (from two bottles) + 6 quarts (from [tex]1\frac{1}{2}[/tex] gallon bottle) = 10 quarts
So, Cesar bought a total of 10 quarts of juice.
Related Questions
I'm a figure with six layers each of my layers is the same my bottom lame layer has a perimeter of 28 units in my volume is between 200 and 300 cubic units what is my volume
Answers
To determine this you can use the given perimeter of 28 to create combinations of dimensions of a recatangule prism.
I started with 7 + 7 + 7 + 7 to get 28. This means the length and width were both 7 units.
This would make the dimensions of this prism 7 x 7 x 6(the height).
The find the volume multiply all three numbers.
The volume is 296 cubic units.
According to the rational root theorem -7/8 is a potential rational root of which function.
A.f(x)=24x^7+3x^6+4x^3-x-28
B.f(x)=28x^7+3x^6+4x^3-x-24
C.f(x)=30x^7+3x^6+4x^3-x-56
D.f(x)=56x^7+3x^6+4x^3-x-30
Answers
so since -7 is a factor of -28 and 8 is a factor of 24 its choice A.
find the volume of each prism round to the nearest tenth if necessary
Answers
V=1 /4*h*sqrt(﹣a^4+2(ab)^2+2(ac)^2﹣b^4+2(bc)^2﹣c^4)
h = sqrt(3^2 + 5^2) = 5.80
Answer: 43.63 units^3
What is (f-g)(X) ? I'm confused help
Answers
(f-g)(x) means that g(x) will be subtracted from f(x)
[tex](f-g)(x) = 2^{x-1}+3-(5x-9) [/tex]
[tex](f-g)(x) = 2^{x-1}+3-5x+9[/tex]
What are these two answers? please help.
Answers
The product of two rational numbers are always a rational number is true, because the two numbers with an ending to it will always result in a terminated answer.
Rational numbers can be always written as a fraction, because, if whole number (for example 5 = 5/1), you can place it over 1. Therefore, it is true
hope this helps
how do I do the second one on the picture and what is the answer
Answers
Hopefully This Helps :)
A student attempted to generate an equivalent expression using the distributive property, as shown below:
6(m + 3) = 6m + 3
What was the mistake made?
A. 6 was not multiplied by m
B. Incorrect sign was used for the first term
C. Incorrect sign was used for the second term
D. 6 was not multiplied by 3
Answers
6 wasnt multiplied by 3.
the expression should look like this "6m+18"
The Distributive Property: a(b + c) = ab + ac.
To find an equivalent expression to 6(m + 3) using the Distributive Property, multiply 6 by each term inside the parentheses.
6 · m = 6m
6 · 3 = 18
The expression becomes 6m + 18.
The error the student made was not multiplying 6 by 3.
Answer:
6 was not multiplied by 3 (the last option).
to obtain the graph of y=(x-8) shift the graph of y=x^2
Answers
f(x + q): left q units
f(x) - q: down q units
f(x) + q: up q units
The graph of y = (x - 8)² is the graph of y = x² shifted 8 units to the right.
A size 8 kids shoe measures 9 2/3 inches. If 5 pairs of size 8 shoes are lined end to end, then how many inches will they cover?
A. 36 2/3 b. 48 1/3 c. 77 1/3 d. 62
Answers
= 5 pairs * 9 2/3 inches per shoe
convert to improper fraction
= 5 * 29/3
multiply numerators
= (5*29)/3
= 145/3
convert back to mixed number
= 48 1/3 inches
ANSWER: 5 pair of size 8 shoes lined up will be 48 1/3 inches long.
Hope this helps! :)
Final answer:
To find the total length that 5 pairs of size 8 shoes will cover, multiply the length of one pair by the number of pairs. The total length will be 48 1/3 inches.
Explanation:
To find the total length that 5 pairs of size 8 shoes will cover, we need to multiply the length of one pair by the number of pairs. Since a size 8 kids shoe measures 9 2/3 inches, we can multiply this by 5 to find the total length.
Step 1: Convert the mixed number,16/3, to an improper fraction: 9 2/3 = (9*3 + 2)/3 = 29/3 inches.
Step 2: Multiply the length of one pair by the number of pairs: (29/3) * 5 = 145/3 inches.
Step 3: Simplify the fraction: 145/3 = 48 1/3 inches.
There are (10^8)^2 ⋅ 10^0 candies in a store. What is the total number of candies in the store?
1
10^10
10^16
10^17
^ = the power of...
Answers
This is because you multiply the 2 powers (2 and 8) to get 16. When there is one power within a set of parenthesis and one power on the outside the parenthesis. Since there is a 10 to the 0 power (10^0) you add this power to 16 since it is multiplying integers with exponents. Thus getting 10^16 as an answer.
I hope this helps!
pedro's father is building a shed, how many square feet of wood are needed to build the back of the shed
Answers
To find the required square feet of wood for the back of a shed, multiply the height by the width of the back wall to calculate its area.
Explanation:To determine how many square feet of wood are needed to build the back of a shed, you need to know the height and width of the back wall of the shed. Assuming you have these measurements, you calculate the area in square feet by multiplying the height by the width.
For example, if the back of the shed is 10 feet high and 12 feet wide, you would calculate the area as follows: 10 feet (height) x 12 feet (width) = 120 square feet. This calculation gives you the total area in square feet of the wood needed for the back of the shed. Remember, the area of a flat surface is calculated by the formula length x width.
Art mows 1/8 acre in 1/4 hour. hOw many acres does art mow per hour
Answers
First you have to find what you multiply the unit rate to get 1 hour
1 / 4 * 4 = 1
Now you multiply what you that by how much he mows
1 / 8 * 4 = 4 / 8 or 0.5
He mows 0.5 acres an hour
The answer is 4 / 8 or 0.5
Hope this helps!
Multiply by 4 on both sides:
1 hour → 1/8 x 4 = 1/2 acre.
Answer: 1/2 Acre
Equality of complex numbers:
please help me answer questions 9 & 10 in the photo.
****Must show step by step guide to how you got your answers***
Answers
2x = 4 so x = 2
and x + y = -5
so 2 + y = -5
y = -7
so the answer is x = 2 and y = -7
10.
(x - iy) + (y + xi) = 1 - 5i
x + y + xi - yi = 1 - 5i
x + y = 1
x - y = -5
adding:-
2x = -4
so x = -2
-2 - y = -5
y = 5-2 = 3
So x = -2 and y = 3
Answer:
By comparison, 2x = 4 and x + y = -5.
2x = 4 implies that x = 4/2 = 2
x + y = -5 implies that y = -5 - x = -5 - 2 = -7.
Step-by-step explanation:
A car in rush hour traffic travels 1/2 of a mile in 1/8 of an hour. If the car continues to travel at the same rate, how many miles will it travel in 1 hour.
Answers
Multiply by 8.
8/2 miles in 8/8 hours
4 miles per hour.
Which relation is a function
Answers
Which phrases can be represented by the algebraic expression x + 14? Check all that apply. the quotient of a number and 14 a number plus 14 fourteen less than a number fourteen more than a number fourteen taken away from a number the product of fourteen and a number a number increased by 14
Answers
Answer:
A,C,F
Step-by-step explanation:
Which phrases can be represented by the expression 60w? Check all that apply.
the product of sixty and a number
sixty times a number
the difference of a number and sixty
the quotient of a number and sixty
a number divided by sixty
the sum of a number and sixty
Answer:
Phrases 2) a number plus 14, 4) fourteen more than a number and 7) a number increased by 14 can be represented by the given algebraic expression.
Step-by-step explanation:
We are given an algebraic expression:
[tex]x + 1`4[/tex]
1) the quotient of a number and 14
2) a number plus 14
Let x be the number then, it can be written as x + 14
3) fourteen less than a number
4) fourteen more than a number
Let x be the number, then, it can be written as x + 14
5) fourteen taken away from a number
6) the product of fourteen and a number
7) a number increased by 14
Let x be the number, then, it can be written as x + 14
Phrases 2) a number plus 14, 4) fourteen more than a number and 7) a number increased by 14 can be represented by the given algebraic expression.
From a survey, a reporter determined that the true proportion of residents in a city who are against expanding the airport is likely in the interval (0.71,0.78).
What is the point estimate of the proportion of residents who are against expanding the airport?
Enter your answer, as a decimal, in the box.
Answers
Answer: The point estimate of the proportion of resident who are against expanding the airport is 0.745.
Step-by-step explanation:
Since we have given that
A reporter determined that the true proportion of residents in a city who are against expanding the airport is likely in the interval (0.71, 0.78).
So, we need to find the point estimate of the proportion of residents who are against expanding the airport.
So, Point estimation of the proportion of resident would be
[tex]\dfrac{0.78+0.71}{2}\\\\=\dfrac{1.49}{2}\\\\=0.745[/tex]
Hence, the point estimate of the proportion of resident who are against expanding the airport is 0.745.
Karen's mother picked 3 pears for every 7 apples she picked. If she picked a total of 170 items, how many were pears?
Answers
Final answer:
Karen's mother picked 51 pears. The ratio of pears to apples picked was 3:7, and using the total number of items (170), we set up and solved two equations to find the number of pears.
Explanation:
The question is about determining how many pears were picked if Karen's mother picked 3 pears for every 7 apples, with a total of 170 items picked. Let's let P represent the number of pears and A represent the number of apples. We know the following ratios and totals:
3 pears for every 7 apples, so P:A = 3:7 The total number of items picked is 170, so P + A = 170We can use these ratios to set up two equations:
P = 3/7 * A P + A = 170By substituting the first equation into the second, we get:
(3/7 * A) + A = 170
This simplifies to:
(10/7) * A = 170
Dividing both sides by (10/7) we find:
A = 170 * (7/10)
A = 119
Substituting A back into the P + A equation:
P + 119 = 170
P = 170 - 119
P = 51
So, Karen's mother picked 51 pears.
Find a positive angle less than one rotation that is coterminal with –308°.
Answers
Answer:
Step-by-step explanation:
Alright, lets get started.
We are given an angle -308 degrees.
A co-terminal angle is an angle which shares the same terminal side of the angle given.
We are asked to find its positive co-terminal angle.
When we find positive co-terminal angle, we add 360 degrees in given angle, so
positive co-terminal angle is : [tex]-308+360=52[/tex]
So, the answer is 52 degree. : Answer
Hope it will help :)
Ella is cooking a turkey and a ham for Thanksgiving. It takes 15 minutes per pound to cook a turkey and 23 minutes per pound to cook a ham. Ella is able to cook the turkey and the ham in 5 hours and 18 minutes. If the turkey weighs twice as much as the ham, how much do the turkey and the ham weigh?
Answers
t=2h
5hr*60min/1hr=300min+18=318min
15t+23h= 318
15(2h)+23h=318
30h+23h=318
53h=318
h= 6
t=2(6)=12
6-pounds ham and 12 pounds of turkey
Final answer:
The turkey weighs 12 pounds, and the ham weighs 6 pounds. This was determined by setting up an equation based on the given cooking times per pound, converting the total cooking time to minutes, and solving for the weight of the ham, which was then used to find the turkey's weight.
Explanation:
Calculating the Weights of Turkey and Ham
Ella is cooking a turkey and a ham for Thanksgiving. The turkey takes 15 minutes per pound to cook, while the ham takes 23 minutes per pound. Altogether, the cooking time is 5 hours and 18 minutes, which converts to 318 minutes (5 hours x 60 + 18). We are told the turkey weighs twice as much as the ham.
Let's define x as the weight of the ham in pounds. Then the turkey's weight is 2x pounds. The total cooking time for the ham is 23x minutes, and for the turkey, it is 2x multiplied by 15, which is 30x minutes. Adding both cooking times gives us the total cooking time:
23x + 30x = 318
53x = 318
x = 6
Therefore, the ham weighs 6 pounds, and the turkey weighs 12 pounds (twice the weight of the ham).
help with maths please
Answers
i think your answer is 22.5 because if you divide 15 by 8 to find out how each one works you get 1.875 and take that and multiply it by 12 because 3 stopped, you would have 22.5
Write the quadratic equation whose roots are 6 and -4 , and whose leading coefficient is 5. (Use the letter x to represent the variable.)
Answers
The quadratic equation for this would be f(x) = 5x^2 - 10x - 120.
In order to find that, we need to start by taking our x intercept values and setting them equal to zero.
x = 6 ----> subtract 6 from both sides
x - 6 = 0
x = -4 ----> add 4 to both sides
x + 4 = 0
Now that we have both of these zero terms, we can multiply them to get a standard form.
f(x) = (x - 6)(x + 4)
And while this will give us the zeros we need, it will no give us the lead coefficient. So we must multiply by the desired lead coefficient.
f(x) = 5(x - 6)(x + 4)
f(x) = 5(x^2 - 6x + 4x - 24)
f(x) = 5(x^2 - 2x - 24)
f(x) = 5x^2 - 10x - 120
The quadratic equation whose roots are 6 and -4, and leading coefficient is 5 is 5x^2 - 10x - 120 = 0.
Explanation:To write the quadratic equation whose roots are 6 and -4 with a leading coefficient of 5, we make use of the general form of a quadratic equation ax^2 + bx + c = 0. Knowing that the roots can be represented as (x - root1)(x - root2) = 0, we can form the equation as x^2 - (root1 + root2)x + root1*root2 = 0. Here, root1 is 6 and root2 is -4.
Plugging these values into the equation, we get:x^2 - (6 - 4)x + 6*-4 = x^2 - 2x - 24 = 0. Finally, we multiply this entire equation by the leading coefficient of 5 to get 5x^2 - 10x - 120 = 0.
Learn more about Quadratic Equation here:https://brainly.com/question/26090334
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Find the simplified product: The Squareroot of 8 x the square root of 98
Answers
Final answer:
The simplified product of the square root of 8 and the square root of 98 is determined by multiplying the numbers under the square roots to get √784, which is a perfect square. Hence, the product simplifies to 28.
Explanation:
To find the simplified product of the square root of 8 and the square root of 98, we can use the property of square roots that allows us to multiply the numbers under the radicals first, before taking the square root of the resultant product. This is a form of simplifying square roots when dealing with exponentials.
Firstly, multiply the numbers inside the square roots:
√8 × √98 = √(8 × 98)
Calculate the product:
8 × 98 = 784
Now we have:
√8 × √98 = √784
By squaring of exponentials, we know that the square root of a perfect square is the base number:
√784 = 28 (since 28 × 28 = 784)
Therefore, the simplified product is 28.
The simplified product of the square root of 8 and the square root of 98 is 28, achieved by using the property of radicals and simplifying the exponents within the radical.
Explanation:To find the simplified product of the square root of 8 and the square root of 98, we can use the property of radicals where the product of two radicals can be combined into one radical, such that √(a) * √(b) = √(ab). To simplify further, we factor each number into its prime factors: 8 = 2³ and 98 = 2 * 7². We then combine the radicals: √(8) * √(98) = √(2³) * √(2 * 7²) = √(2´ * 7²).
Based on the properties of exponents and radicals, we can take the square roots of exponentials by finding which factors have exponents that are multiples of 2. In our case, we have 2´, which simplifies as 2², and 7², which is already a perfect square. Thus, √(2´ * 7²) simplifies to 2² * 7 = 4 * 7 = 28. So the simplified product of √(8) * √(98) is 28.
y=2x-1
3y=6x-5
Please help
Answers
Distribute 3x :6x-3=6x-5
Subtract 6x from both sides
-3=-5 which is not true so the answer is no solution
What is x?
x-1 / x-1 = -1
|x-1| / | x-1 | = 1
|x-1| / |x-1| = -1
Pls Help!!!
Need it by 15 minutes.
Answers
Answer:
|x-1| / | x-1 | = 1
Step-by-step explanation:
If x is to 6 as 10 is to 15, then x is equal to
Answers
To find this, you must first figure out the relationship between 10 and 15. Since 10 is 2/3 of 15, "x" must be 2/3 of 6.
To find "x", divide 6 by 3 to get 2, then 2 by 2 to get 2/3 of 6 (4). Thus meaning X = 4.
I hope this helps!
NEED HELP FAST
Read the complete problem before answering. Tessa made a block tower that was 1 1/8 ft tall. She made a second block tower that was 2 3/4 ft tall. What was the combined height of the towers? A student solved the problem this way: 1 1/8 + 2 3/4 = 1 1/8 + 2 6/8 = 3 7/8 The combined height of the towers was 3 7/8 ft tall. Use a similar strategy to solve this problem. Martina made a block tower that was 2 1/3 ft tall. She had a toy giraffe that was 1 1/3 ft tall. She had another tower that was 3 1/4 ft tall. How tall would the towers be if placed one on top of the other?
Answers
Answer:
5 7/12
Step-by-step explanation:
28/12 + 39/12 = 67/12 = 5 7/12
(5.9)×(5.9)×(5.9)×(5.9)
Answers
( PLEASE HELP) The points (3,-2) (-3,-2) and (-3,6) are the vertices of a triangle. Find the perimeter of the triangle. (Hint: Use the Pythagorean theorem to find the length of the hypotenuse.
Answers
[tex]x^2=6^2+8^2\\\\x^2=36+64\\\\x^2=100\to x=\sqrt{100}\to x=10[/tex]
The perimeter of the triangle:
[tex]P_\Delta=6+8+10=24[/tex]
find the value of x and then classify the triangles
Answers
Answer:
6) x = 16°, scalene triangle
7) x = 45°, right triangle
Explanation:
The sum of all angles within a triangle is 180 degrees so if given two angles, we can set up an equation to solve for the missing third angle.
For question 6, our equation is 39 + 125 + x = 180. Let's solve and then classify:
39 + 125 + x = 180
164 + x = 180
164 - 164 + x = 180 - 164
0 + x = 180 - 164
x = 16
Because no two angles within the triangle have the same measure and no two legs on its edges have the same length, its classification is a scalene triangle.
For question 7, the triangle has a box that indicates one of its known angles is 90 degrees. So our equation is 90 + 45 + x = 180. Let's solve and then classify:
90 + 45 + x = 180
135 + x = 180
135 - 135 + x = 180 - 135
0 + x = 180 - 135
x = 45
Because the triangle contains a right angle indicated by that same box we used to derive that one of the angles measured 90 degrees, we can determine that this classification is a right triangle.