Answer:
- 6
Step-by-step explanation:
Step 1:
2x - 9 = - 21 Equation
Step 2:
2x = - 12 Add 9 on both sides
Step 3:
- 12 ÷ 2 Divide
Answer:
x = - 6
Hope This Helps :)
Answer:
x = -6
Step-by-step explanation:
Let x = unknown number
2x -9 = -21
Add 9 to each side
2x -9+9 = -21+9
2x = -12
Divide by 2
2x/2= -12/2
x = -6
Help me ..................
Mr. Jones is driving a truck at a constant speed. The graph below shows the distance traveled, in miles, with respect to the number of
hours traveled.
Distance Traveled
250
225
200
175
150
Distance (miles)
125
100
75
50
25
0
2
8
9
10
3 4 5 6 7
Number of Hours
What does the origin represent for this graph?
OIn one hour, he travels 50 miles.
OIn zero hours, he travels zero miles.
OIn zero hours, he travels 25 miles.
OIn five hours, he travels 250 miles.
Answer:In zero hours, he travels zero miles
Step-by-step explanation:
Just did it on edmentum and it’s correct
Answer:
In zero hours, he travels zero miles.
Step-by-step explanation:
Since the y-axis represents the distance traveled, in miles, and the x-axis represents the number of hours traveled, the origin, (0,0), represents the fact that in zero hours, he travels zero miles.
What is the value of the expression below when y = 8
8y - 4
Answer:
60
Step-by-step explanation:
y=8
8(8)-4
64-4
60
Can someone help with this? (:
[tex] - 30[/tex]
Step-by-step explanation:
[tex]x = 10[/tex]
[tex]20 - 5x[/tex]
[tex] = 20 - 5 \: . \: 10[/tex]
[tex] = 20 - 50[/tex]
[tex] = - 30[/tex]
what is the solution
Answer:
No solutions or ∅
Step-by-step explanation:
Do the algebra:
[tex]-\frac{1}{3}+\frac{2}{3}m=\frac2 3 m - \frac 2 3 \\\\\frac 2 3 m = \frac 2 3 m - \frac 2 3\\\\0=-\frac 2 3[/tex]
Since 0 ≠ -2/3, this equation has no solutions.
Hope this helped :)
-n = -75
so what is n?
Answer:
n = 75
Step-by-step explanation:
Step 1: Write equation
-n = -75
Step 2: Divide both sides by -1
n = 75
Step 3: Check
Plug in n to verify it's a solution.
-75 = -75
What is the smallest number divisible by 2 and 5?
Answer:
10 is the answer
Step-by-step explanation:
Beacause 2 * 5 =10
and 5*2=10
answer
10,20,30,40,by adding 10number etc.....
| 1). What number is 40% of 50?
How many solutions does the system of equations have?
4x = -12y + 16 and x + 3y = 4
a.) one
b.) two
c.) infinitely many
d.) none
PLEASE HELP ME!!! WILL MARK BRAINLEST!!!
Write the inequality
The quotient of number x and 5 is greater than 12.
Answer:
its 5+x=12 but not sure.
A rectangle that is 2 inches by 3 inches has been scaled by a factor of 4.
_____ inches by _____ inches
Suppose you want to scale the copy back to its original size. What scale factor should you use?
Answer:
2 inches by 4 inches
Step-by-step explanation:
Please help I will give brainliest
30
Look at the next part in the order it goes up, straight up again then down then up, which probably means that you are gonna go up again instead of going down
all in the up's and down's lol
A point P has coordinates (-8, -2). what are its new coordinates after reflecting point P across the y-axis?
Answer:
(-8,2)
Step-by-step explanation:The y-value does not change, only the x-value becomes positive.
On a number line, the coordinates of X, Y, Z, and W are , , , and , respectively. Find the lengths of the two segments below. Then tell whether they are congruent. and The length of is 3. (Type an integer or a decimal.) The length of is 2. (Type an integer or a decimal.)
Complete Question:
On a number line, the coordinates of X, Y, Z, and W are −8, −5, 4, and 6, respectively. Find the lengths of the two segments below. Then tell whether they are congruent. [tex] \overline{XY} [/tex] and [tex] \overline{ZW} [/tex]
Answer:
[tex] \overline{XY} = 3 [/tex]
[tex] \overline{ZW} = 2 [/tex]
They are not congruent
Step-by-step explanation:
Length of segment XY:
Coordinate of X = -8
Coordinate of Y = -5
[tex] \overline{XY} [/tex] = |-8 -(-5)| = |-8 + 5| = 3
Length of ZW:
Coordinate of Z = 4
Coordinate of W = 6
[tex] \overline{ZW} [/tex] = |4 - 6| = 2
[tex] \overline{XY} [/tex] ≠ [tex] \overline{ZW} [/tex], therefore, they are not congruent.
Is 1 5/8 greater than, less than, or equal to 1.6?
Answer:
[tex]1 \frac{5}{8} > 1.6[/tex]
Step-by-step explanation:
[tex]1 \frac{5}{8} \: ... \: 1.6[/tex]
[tex] \frac{1 \times 8 + 5}{8} \: ... \: 1.6[/tex]
[tex] \frac{8 + 5}{8} \: ... \: 1.6[/tex]
[tex] \frac{13}{8} \: ... \: 1.6[/tex]
[tex] \frac{13}{8} \: ... \: \frac{16}{10} [/tex]
[tex] \frac{13 \times 5}{8 \times 5} \: ... \: \frac{16 \times 4}{10 \times 4} [/tex]
[tex] \frac{65}{40} \: ... \: \frac{64}{40} [/tex]
[tex] \frac{65}{40} > \frac{64}{40} [/tex]
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We can conclude that 1.625 is greater than 1.6 (1.625 > 1.6).
What do we mean by greater and less than?To compare numbers and expressions, use the greater than and less than symbols. The sign for more than is >. In other words, 9>7 means "9 is bigger than 7." The symbol for less than is. The comparative terms "greater than" and "equal to" are two more (less than or equal to). Imagine the larger than and less than signs as little alligators (or crocodiles), with the numbers on either side standing in for a number of fish, to help you remember them. Whatever number the alligator's mouth is open toward is the larger number because it always prefers to devour more fish.So, to know that if 1⅝ > 1.6, calculate as follows:
1⅝8+5/813/81.625Then: 1.625 > 1.6
Therefore, we can conclude that 1.625 is greater than 1.6 (1.625 > 1.6).
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Write y-2=1/2(x+1) in slope intercept form
Answer:
m=1/2
Step-by-step explanation:
can you help me solve this?
Answer:
so if it takes 3/1_2 cups of flour to make 3 dozen cookies then it must take 1/2 cups of flour to make 36 cookies because 12x3 equals 36
Step-by-step explanation:
The area of a pond covered by algae is 1/4 of a square meter on day one and it doubles each day. Complete the table
The complete table of the algae area is:
Day 1 2 3 4 5 6
Area 1/2 1 2 4 8 16
How to complete the table?The initial area is given as;
A(1) = 1/2 square meters
When it doubles every day, we have:
A(n) = 2 * A(n - 1) where A(1) = 2
So, we have the following values
A(2) = 1/2 * 2 = 1
A(3) = 1 * 2 = 2
A(4) = 2 * 2 = 4
A(5) = 4 * 2 = 8
A(6) = 8 * 2 = 16
Hence, the complete table is:
Day 1 2 3 4 5 6
Area 1/2 1 2 4 8 16
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In your pattern which shape covers more of the plane blue rhombus red trapezoid or green triangles? Explain how you know.
Answer:
Which shapes cover more of the plane" means that we are comparing the areas covered by the different types of shapes. In these patterns, two triangles match up to one rhombus, and three triangles match up to one trapezoid.
In both Pattern A and Pattern B, the first hexagonal part is made up of 7 triangles, 4 rhombuses, and 3 trapezoids.
The first hexagonal part is repeated across the pattern, so whichever type of shape covers the most area of this first part also covers the most area in the whole pattern.
hope it helps
You plan to invest $10,000 in two funds paying 4.5% and 5% simple interest. (There is more risk in the 5% fund.) Your goal is to obtain a total annual interest income of $480 from the investments. What is the smallest amount you can invest in the 5% fund and still meet your objective?
Answer:
$6000
Step-by-step explanation:
Given the following :
Total planned amount to invest = 10,000 in two funds:
Fund A at rates 4.5% and
Fund B at 5% simple interest
Total Annual Interest should be = 480
What is the smallest amount you can invest in the 5% fund and still meet your objective?
Let ;
Investment in fund A = principal = a at 4.5%(0.045)
Investment in fund B = principal = (10000 - a) at 5%(0.05)
Simple interest = principal * rate * time
a + (10000 - a) = 10000
(a * 0.045) + (10000 - a) * 0.05 = 480
0.045a + 500 - 0.05a = 480
-0.005a = 480 - 500
-0.005a = - 20
a = 20 / 0.005
a = 4000
4000 at 4.5%
Investment in fund B = principal = (10000 - a)
(10,000 - 4000) = 6000
Solve for n. 583 = (n ÷ 10) + 3
Answer:
Hope this step-by-step helps:
Step-by-step explanation:
In a two-variable problem rewrite the equations so that when the equations are added, one of the variables is eliminated, and then solve for the remaining variable. Step 1: Multiply equation (1) by -5 and add it to equation (2) to form equation (3) with just one variable.
Answer:
n=5800........
helpp will try to mark brainliest
-1=x+6-6
Answer:
x = -1
Step-by-step explanation:
-1 = x+6-6
Combine like terms
-1 = x
Answer:
Step-by-step explanation:
Let's solve your equation step-by-step.
−1=x+6−6
Step 1: Simplify both sides of the equation.
−1=x+6−6
−1=x+6+−6
−1=(x)+(6+−6) (Combine Like Terms)
−1=x
−1=x
Step 2: Flip the equation.
x=−1
which equation in slope intercept passes form through (2, -2) and (-3, -17)
Answer:
Step-by-step explanation:
hjbiuygyugflyuylgfiygiugukjkjkj
Consider the following polynomial expression: 4x^5-16x^2+13x^8. Part A: Write the polynomial expression in standard form.
Answer:
13x^8 + 4x^5 - 16x^2
Step-by-step explanation:
Standard form is just rearranging each group of numbers so that the group with the most exponents on the variables is at the beginning. So it's basically least to greatest but with exponents. Hope this helped!
Simplify each algebraic expression. Drag the tiles to the correct boxes to complete the pairs.
Answer:
1. 5x-2
2. 5x+ 2
3. -5x-2
4. -5x+2
Answer:
1. 5x-2
2. 5x+ 2
3. -5x-2
4. -5x+2
Which expression is equivalent to 3/256x10y?
0 4x²y
4xy?(/4xy)
16x?y? (VW)
16xy (39)
please help !
Answer:
[tex] 4 {x}^{3} {y}^{2} \sqrt[3]{4xy}[/tex]
Step-by-step explanation:
[tex] \sqrt[3]{256 {x}^{10} {y}^{7} } \\ \\ = \sqrt[3]{( {4)}^{4} {(x)}^{9} \times x \times {(y)}^{6} \times y } \\ \\ = \sqrt[3]{ {4}^{3} \times 4 \times ({x}^{3})^{3} \times x \times ({y}^{2})^{3} \times y} \\ \\ = 4 \times {x}^{3} \times {y}^{2} \sqrt[3]{4 \times x \times y} \\ \\ \huge \red{ \boxed{ = 4 {x}^{3} {y}^{2} \sqrt[3]{4xy} }}[/tex]
9m^2-4n+12 factor out gcf
Answer: 9m^2 - 4n + 12
Step-by-step explanation:
To factor out the greatest common factor (GCF) from the expression 9m^2 - 4n + 12, we need to find the largest common factor of all the terms.
Let's examine each term individually:
9m^2: The only common factor between 9 and m^2 is 1.
-4n: The only common factor between -4 and n is 1.
12: The factors of 12 are 1, 2, 3, 4, 6, and 12. However, there is no common factor between 12 and the other terms.
Since there is no common factor other than 1, we cannot factor out anything more significant than 1. Therefore, the factored form of the expression 9m^2 - 4n + 12 is simply the original expression itself:
To factor out the greatest common factor (GCF) from the expression 9m^2 - 4n + 12, let's first identify the GCF of the coefficients. In this case, the GCF of 9, -4, and 12 is 1 since there is no common factor greater than 1.
Next, we'll factor out the GCF from each term:
9m^2 = (9)(m^2)
-4n = (-4)(n)
12 = (12)(1)
Now we can rewrite the expression factoring out the GCF:
9m^2 - 4n + 12 = (1)(9m^2) + (1)(-4n) + (1)(12)
Simplifying this, we get:
9m^2 - 4n + 12 = 9m^2 - 4n + 12
Since there is no common factor other than 1, the expression cannot be further factored.
In PC Tech’s product mix problem, assume there is another PC model, the VXP, that the company can produce in addition to Basics and XPs. Each VXP requires eight hours for assembling, three hours for testing, $275 for component parts, and sells for $560. At most 50 VXPs can be sold.
a. Modify the spreadsheet model to include this new product, and use Solver to find the optimal product mix.
b. You should find that the optimal solution is not integer-valued. If you round the values in the changing cells to the nearest integers, is the resulting solution still feasible? If not, how might you obtain a feasible solution that is at least close to optimal?
To modify the spreadsheet model and find the optimal product mix considering the new VXP product, you would need to make the following changes: Update the spreadsheet to include a new row for the VXP product, with columns for assembling time, testing time, component cost, selling price, and maximum sales quantity.
To obtain a feasible solution that is close to optimal, you can try different approaches: Relax the integer constraints, Implement a rounding or adjustment strategy, Analyze the sensitivity of the solution.
Adjust the constraints to account for the maximum sales quantity of 50 VXPs.
Update the objective function to include the contribution of the VXP product sales.
Once you have made these modifications, you can use Solver to find the optimal product mix. However, it's important to note that the optimal solution may not result in integer values for the product quantities. If the optimal solution is not integer-valued, rounding the values in the changing cells to the nearest integers may result in an infeasible solution.
To obtain a feasible solution that is close to optimal, you can try different approaches: Relax the integer constraints, Implement a rounding or adjustment strategy, Analyze the sensitivity of the solution.
Relax the integer constraints: Allow non-integer values for the product quantities and see if the resulting solution is feasible and close to the optimal solution. This may be acceptable depending on the context and specific requirements of the problem.
Implement a rounding or adjustment strategy: Instead of rounding to the nearest integer, you can try rounding up or down or applying specific adjustment rules to the non-integer values. This can help ensure feasibility while still getting a solution close to the optimal.
Analyze the sensitivity of the solution: Check the sensitivity of the objective function to changes in the product quantities. If the solution is not sensitive to small changes in the quantities, you can manually adjust the quantities to obtain a feasible solution that is close to the optimal.
Ultimately, the approach to obtain a feasible solution that is close to optimal will depend on the specific requirements and constraints of the problem, as well as the acceptable trade-offs between optimality and feasibility.
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what is the y intercept of the table shown?
-2
-1
0
2
Answer:
-2
Step-by-step explanation:
when x = 0 is when the line intercepts the y-axis...
so, when x = 0, y = -2
HELP ASAP PLEASE ASAP PLEASE
