Answer:
9
Step-by-step explanation:
Katie is planting a garden for her science fair project she needs 2/3 of a cup of soil to go in a different parts how many cups of soil does she need in total
Katie requires 16/3 cups of the soil for planting a garden for her science fair.
How to calculate the total amount?Algebra is a mathematical technique for calculating unknown values.
Variables represent unknown parameters in an equation and are usually categorized by a letter of the alphabet. The value of the variable is determined by isolating it.Now, for the stated question;
Katie has been planting a garden for her science fair project. She requires 2/3 of a cup of soil for each of the eight pots.
To calculate the total amount of soil required, multiply the amount required for one pot by the number of total pots.
Total soil = (2/3)×8
Total soil = (2×8)/3
Total soil = 16/3
Therefore, the total amount of the soil requires for the gardening in science fair is 16/3 cups.
To know more about the equation, here
https://brainly.com/question/25976025
#SPJ9
if (x) = 3x^2 + 10, what is f(-7)
Answer:
f(x) = -139
Step-by-step explanation:
f(x) = 3x^2 + 10 If f(-7)
f(-7)= 3 * -7^2 + 10
F(-7) = 3 * -49 + 10
f(-7) = -147 + 10
f(-7) = -139
Answer:
-137
Step-by-step explanation:
3*(-7)2+103*-49+10-147+10-137Use the table below to answer the following questions.
Notebooks Cost
3
4
(Dollars)
$1.65
$2.20
$2.75
$3.30
5.
6
Write a system of linear equations for the problem and solve the system using an augmented matrix and your calculator.
Mike works a total of 59hr per week at his two jobs. He makes $8 per hour at job A and $9 per hour at job B. If his total pay for one week is $494 before taxes, then how many hours does he work at each job?
Answer: he works 37 hours in job A, and 22 hours in job B.
Step-by-step explanation:
Let's define the variables:
A = number of hours that he works at Job A
B = number of hours that he works at Job B.
We know that he works a total of 59hr per week, then we have:
A + B = 59
And we also know that he makes $494 in one week, then we have the equation:
A*$8 + B*$9 = $494.
Then we have the system of equations:
A + B = 59
A*$8 + B*$9 = $494
To solve this with an augmented matrix, we need to turn these equations into a matrix, where we only write the coefficients as follows:
[tex]\left[\begin{array}{cccc}1&1&I&59\\8&9&I&494\end{array}\right][/tex]
(The I's should represent a line for the augmented matrix, that line separates the values of the coefficients to the right value of each equation)
The first column represents the A coefficients, the second column represents the B coefficients.
To solve this, we want to get something of the form:
[tex]\left[\begin{array}{cccc}1&0&I&x\\0&1&I&y\end{array}\right][/tex]
Where x and y are our solutions.
To do it we can just do: Column 2 - 8*column 1, this will get us to:
[tex]\left[\begin{array}{cccc}1&1&I&59\\8 - 8*1&9 - 8*1&I&494 - 8*59\end{array}\right][/tex]
=
[tex]\left[\begin{array}{cccc}1&1&I&59\\0&1&I&22\end{array}\right][/tex]
Now we can do: Column1 - column2, to get
[tex]\left[\begin{array}{cccc}1 - 0&1 - 1&I&59 - 22\\0&1&I&22\end{array}\right][/tex]
[tex]\left[\begin{array}{cccc}1&0&I&37\\0&1&I&22\end{array}\right][/tex]
Then the solutions are:
1*A =37
1*B = 22
This means that he works 37 hours in job A, and 22 hours in job B.
find the sum of of LCM and GCF of 15, 35, 56
Answer:
LCM sum: 3
GCF sum: 3
3 + 3 = 6
Step-by-step explanation:
Here I listed all the factors of each number:
15: 1, 3, 5, 15
35: 1, 5, 7, 35
56: 1, 2, 4, 7, 8, 14, 28, 56
As you can see, the LCM of these numbers is 1, since none of the other factors relate to all of the number's factors. This is also the only factor that all three of these numbers share.
1 + 1 + 1 = 3
The GCF of each of the numbers is also 1.
1 + 1 + 1 = 3
Hope this helps! :D
What is the axis of symmetry for the function y=-(x-3)^2+5
Answer:
x = 3
Step-by-step explanation:
This is in vertex notation which means that it is written in y = (x-h)^2 + k format where the vertex is (h,k). In this case the vertex is (3,2) which means that at the x-axis of 3, that is where the parabola is mirrored and is in fact the axis of symmetry
Select the correct answer.
The graph below represents the following system of inequalities.
y> -3x + 5
Y > x -2
Answer:
B
Step-by-step explanation
We have
using a graph tool
see the attached figure
The solution of the system is the shaded area
we know that
The line is solid
The line passes through points and and is shaded above the line.
The line is solid
The line passes through points and and is shaded below the line
The two lines intersect at one point
therefore
the answer is the option
B) Graph of two lines that intersect at one point. Both lines are solid. One line passes through points negative 2, 2 and 0, 3 and is shaded below the line. The other line passes through points 0, 1 and 1, negative 2 and is shaded above the line.
Alicia and Karen are practicing for their cross country meet next week. They both start at their school. Alicia runs
2 miles east and 4 miles north, and Karen runs 5 miles west and 1 mile south. What is the straight line distance
between them at the end of their runs rounded to the nearest tenth of a mile?
A. 6.6
B. 7.6
C. 8.6
D. 9.6
Answer:
B,
(i used graph paper[I made a mistake, it's not A])
On tuesday a local hamburger shop sold a combined total of 504 hamburgers and cheeseburgers. The number of cheeseburgers sold was 3 times the number of hamburgers sold. How many hamburgers were sold on tuesday?
Answer:
126
Step-by-step explanation:
Let the no. of hamburger be n
Then the no. of cheeseburgers = 3n
3n + n = 504
4n = 504
n = 504 / 4
n = 126
thanks for the help!
Explanation:
The term "bisect" means "divide in half", or "divide in two equal pieces".
Angles A = 58 and B = 96 divide in half to get 29 and 48 respectively
Find their sum and subtract it from 180 to get angle AMB
29+48 = 77
180-77 = 103
A diagram is shown below.
which one represents a linear function help ong please !!
Answer:
D is the correct answer
Solve for x
12/x=3/5
Answer:
20
Step-by-step explanation:
12/x = 3/5
12 = 3*4
20 = 5*4
XZ is the angle bisector of angle WXy. solve for m. enter a number only
Answer:
m = 7
Step-by-step explanation:
An angle bisector is a line or ray that divides an angle into two equal angles
so ∠WXZ = ∠ZXY
10m - 28 = 5m + 7
10m - 5m = 7 + 28
5m = 35
m = 7
Subtract. Write the answer in lowest terms.
6 1/6 - 2 5/6
Answer:
61/6_25/6=61_25/6=36/6 we divide =6The answer is 6Step-by-step explanation:
Please mark my answer as a brainliest. Please follow me. ❤❤❤Answer:
3 1/6
Step-by-step explanation:
look on the attachment i sent
Can someone please help me?
How can knowing how to represent proportional relationships in different ways be useful in solving problems?
Answer: Knowing proportional relationships help in different ways such as in constant change, multiple representations, etc.
Hope this helped.
Expression P + 2p +3p +4p whats the equivalent expression
Answer:
10p
Step-by-step explanation:
p + 2p + 3p + 4p
= 10p
Answer:
10p
General Formulas and Concepts:
Algebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define
p + 2p + 3p + 4p
Step 2: Simplify
Combine like terms (p): 10pFind the value of the variable in the isosceles trapezoid.
The value of the variable in the isosceles trapezoid is 24.
Calculation of the value of the variable:Since the measure of one angle should be 63 degrees
And, there is the equation 2x + 15 degrees
So for determining the value of x here we have to equate the equation
So,
2x + 15 = 63
2x = 63 - 15
2x = 48
x = 24
Therefore, The value of the variable in the isosceles trapezoid is 24.
learn more about variable here: https://brainly.com/question/21444495
Find a benchmark for 24% using that- what fraction is 24% close to?
A. 1/6
B. 1/8
C. 1/4
Answer: B. 1/8
Step-by-step explanation:
5x -2y=18 what does x and y equal?
Answer:
[tex]x,y\ could\ be\ any\ real\ numbers[/tex]
Step-by-step explanation:
[tex]As\ a\ linear\ equation\ in\ two\ variable\ has\ infinite\ solutions,\\5x-2y=18, will\ also\ have\ infinite\ solutions\ and\ x\ and\ y\ can\ take\ any\ real\ values.[/tex]
The number -26/99 is rational
Answer:
Correct!
Step-by-step explanation:
Rational numbers can be expressed as fractions of integers. Negative 22 and 99 are both integers, therefore the number is rational!
Please I’ll mark you brainliest no cap
What is the lowest form of this fraction 640/1000
Answer:
16/25
Step-by-step explanation:
Factor 40 out of 640 and 1000
This leaves you with 16 and 25.
Answer:
16/25
Step-by-step explanation:
640/1000
64/100
(divide 4/4)
16/25
7 apples cost 4.55 what cost per apples
Answer:
65 cents
Step-by-step explanation:
4.55/7=.65
b = 2c + 6 what is the function?
Answer:
2c put me as brainlest
Step-by-step explanation:
Let's solve for c.
b=2c+6
Step 1: Flip the equation.
2c+6=b
Step 2: Add -6 to both sides.
2c+6+−6=b+−6
2c=b−6
Step 3: Divide both sides by 2.
2c
2
=
b−6
2
c=
1
2
b−3
Answer:
c=
1
2
b−3
now if ur just looking for the funtipn the asnwer would be 2c i think
Answer:
B. -6+8d-2c C. -2c+8d-6
Step-by-step explanation:
In order to determine which expressions are equivalent to you need to set the expression equal to the options available.
5x-2y=-3 -2x-y=-6 método de reducción suma y resta con procedimiento y respuesta doy corona a quien me ayude en menos de media hora
Answer:
(1, 4)
Step-by-step explanation:
5x-2y=-3 -2x-y=-6 =>
5x-2y=-3
-2x-y=-6 Multiply all three terms by -2: 4x + 2y = 12
Then we have:
5x-2y=-3
4x + 2y = 12
---------------------
9x = 9 and so x = 1. Then, using -2x - y = -6, and substituting 1 for x:
-2(1) - y = -6, or
2 + y = 6, or
y = 4
Then the solution is (1, 4)
CMON HELP ME PLEASE IM SUPER DESPREATE I CANNOT FAIL HADAOSJDPOKD0NA UABAUDB
Answer: C. (5)
Step-by-step explanation:
Answer:
Pretty sure it's C!
I also hope you don't fail
Step-by-step explanation:
3x-3+6 how many solutions would the equation have explain
Answer: 3x + 3
Step-by-step explanation:
You win $7,500 at month 40. Can you fully pay off either car? Explain.
in order to figure out if we can pay the car, we need to know how much it costs.
Step-by-step explanation:
There needs to be more explanation for people to help you, maybe tou can send a picture so someone can help you.
The gas tank on the back of a tanker truck can be equated to a cylinder with a diameter of 8 feet and a length of 19 feet. A gallon of gas is approximately 231 cubic inches. The density of the gasoline is .0262 pounds per cubic inch. The driver has stopped at a local farm to fill a tank that has linear dimensions that are 2/3 the size of his tank. If the driver's tank was full and the farmer's tank was empty, what is the mass of the gasoline in each of the tanks after the smaller tank is full?
9514 1404 393
Answer:
driver's tank: 30,427 lbfarmer's tank: 12,811 lbStep-by-step explanation:
The formula for the volume of a cylinder is ...
V = πr^2·h . . . radius r, height h
The radius of the driver's tank is half its diameter, so is (8 ft)/2 = 4 ft. Then the volume of that tank is ...
V = π(4 ft)^2·(19 ft) = 304π ft^3
Each cubic foot of gasoline has a mass of ...
(1728 in^3/ft^3)(0.0262 lb/in^3) = 45.2736 lb/ft^3
Then the total mass in the driver's full tank is ...
(304π ft^3)(45.2736 lb/ft^3) ≈ 43,238.3 lb
__
The farmer's tank is a scaled-down version of the driver's tank. It's volume will be scaled by the cube of the linear scale factor, so will be (2/3)^3 = 8/27 of the volume of the driver's tank.
The farmer's tank will hold a mass of (43,238.3 lb)(8/27) ≈ 12,811 lb.
The amount remaining in the driver's tank is 43,238 -12,811 = 30,427 lb.
Evaluate cot arcsin 4/5