Answer:
B. On Pearson (-1/4) D on Egdenuity(-1/4)
The student erred in calculating the slope for the line perpendicular to the given line. They should have used -1/4 instead of 2. The correct equation is y - 5 = -1/4 * (x + 8).
Explanation:The error the student made lies in calculating the slope of the line that is perpendicular to given line y = 4x + 2. The slope of this line is 4, therefore the slope of the line perpendicular to it should be the negative reciprocal of 4, which is -1/4, not 2 as the student assumed. We also use the point-slope form of the line which is y - y1 = m(x - x1). Substituting m as -1/4 (the slope of perpendicular line) and the point (-8,5) into the equation, we should get y - 5 = -1/4 * (x + 8).
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Find 987 divided by 47 using the most efficient strategy you can. Show your work
The quotient of 987 divided by 47 is found to be 21 using estimation and step-by-step long division.
Explanation:The question asks to find 987 divided by 47 using an efficient strategy and show the work. To solve this, we can perform long division.
First, we see how many times 47 goes into 987. Since 47 is close to 50 and we know that 50 times 20 is 1000, which is just above 987, we can start by estimating around 20.20 times 47 is 940. We subtract this from 987 to get a remainder of 47.Since we see that 47 goes into 47 exactly once more, we add this to our previous quotient of 20.The final answer is 21 because 47 goes into 987 exactly 21 times. The most efficient strategy here was to use estimation and subtraction to find the quotient step-by-step.
Write an expression that is equivalent to 7-3(4-2x)-10x
Answer:
-5-4x
Step-by-step explanation:
7-3(4-2x)-10x
7-12+6x-10x
-5+6x-10x
-5-4x
7-12+6x-10x
or
-5-4x
Simplify the answer to get equivalent expressions
Sara is reading a 280-page book. If
she has read 129 pages, what percent
of the book has she not read? im
Answer:
30%?
Step-by-step explanation:
im not really sure but 30 percent of 280 is 84 and i couldnt find anything else
since 280-129=88 i thought 84/30% was closest
1.5 3.9 6.3 8.7 what is the sequence term
Answer: 1.9
Step-by-step explanation:
because you keep adding 1.9 to get your result
Answer:
11.1
Step-by-step explanation:
3.9 - 1.5 = 2.4
if you add 2.4 to one of the numbers in the sequence it will be the next number.
1.5 + 2.4 = 3.9
3.9 + 2.4 = 6.3
6.3 + 2.4 = 8.7
if this is the case then 8.7 + 2.4 = 11.1
If you divide any number by itself , what is the result?
Answer:
it the same number.
Step-by-step explanation:
To cover his rectangular backyard, Will needs at least 170.5 square feet of sod. The length of Will's yard is 15.5 feet. What are the possible widths of Will's yard?
Answer:
11 feet
Step-by-step explanation:
Area of rectangle (170.5cm) = length (15.5) x width
170.5/15.5=width
Width = 11
Hope this helps! :)
1.
What is the unit price of shampoo if a
15-ounce bottle costs $2.79?
Answer:
$2.79 per bottle$0.186 per ounceStep-by-step explanation:
When you talk about "unit price," you need to define the unit of interest. Unit prices on grocery store shelves don't always use the same unit, even for like items. Here it might be convenient to use any of the following as the "unit":
1 bottle1 ounce1 pint (16 ounces)1 cup (8 ounces)The "unit price" is computed as ...
unit price = (price for some number of units)/(the number of units)
The "number of units" may be larger, smaller, or equal to 1.
Then the price per cup (8 ounces) would be ...
unit price = (price for 15 oz)/(15/8 cups) = ($2.79)(8/15)
= $1.488 per cup
__
The price per ounce would be ...
unit price = ($2.79)/(15 oz) = $0.186/oz
__
We assume that the unit of interest is probably 1 ounce, but it could be something else. Your grader may expect the value to be rounded to the nearest cent, $0.19 per ounce.
The unit price of shampoo is approximately $0.186 per ounce.
Explanation:To find the unit price of shampoo, divide the cost of the bottle by the number of ounces it contains. In this case, the cost is $2.79 and the bottle is 15 ounces. So, the unit price can be calculated as $2.79 divided by 15 ounces, which gives us approximately $0.186 unit price per ounce.
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What’s 3 5/8 as a fraction
please could someone help me?
if you have a scientific calculator type in y=4/3x+4
and you should find your answer
If five 4 liter bottles of soda are split evenly among 40 people how many liters of soda will each person get?
Answer:
.5 or l/2 liter
Step-by-step explanation
4 liters x 5= 20 liters / 40 people =.5 or 1/2 liter
Jennie has 177 more songs downloaded on her mp3 player than Diamond. Together, they have 895 songs downloaded. How many do each of them have?
Answer:jennie has 536 songs and diamond has 359
Step-by-step explanation:
A farmer had a total of 995 horses and cows. After selling some of the horses and cows, he had 510 horses and 390 cows left. How many horses and cows did he sell altogether?
Answer: 95 sold
Step-by-step explanation:
995 horses and cows - 510 horses and 390 cows left = 95 sold
Answer:
95
Step-by-step explanation:
add 510 + 390 to find out the total number of horses and cows he has left. this equals 900
then you subtract the total of horses and cows he started with by what he has left to find out how many he sold
995-900=95
3. Find the circumcenter of triangle EFG with E(2,6), F(2,4), and G(6,4)
(4,4)
(5,4)
(4,5)
(2,5)
Answer:
(4,5)
Step-by-step explanation:
We are to find the circumcenter of triangle EFG with vertices
E(2,6), F(2,4), and G(6,4)
Let S(x,y) be the circum center. Then this point is equidistance from E, F and
G
i.e. [tex]ES=FS=GS\\ES^2 =FS^2 =GS^2[/tex]
[tex](x-2)^2+(y-6)^2 =(x-2)^2+(y-4)^2 =(x-6)^2+(y-4)^2 \\i.e. x^2-4x+4+y^2-12y+36 = x^2-4x+4+y^2-8y+16 = x^2-12x+36+y^2-8y+16 \\4y = 20: y =5\\8x=32\\x=4[/tex]
Thus circumcenter is (4,5)
(5x+17)+(2x+50) What does x equal?
Answer:
Step-by-step explanation:
(5x+17)+(2x+50)
5x+2x + 17+50
7x+67
IF 7x+67 = 0
7x = -67
x = - 67/7 OR x = -9.57
How do I solve for Log(x+3)+log2=3 ?
Answer: x = 995
Step-by-step explanation:
In this equation our log doesn't have a base so it is given the default base of 10. This makes our equation really.
[tex]log_{10}(x+3) + log_{10}(2) = 3[/tex]
Now we put every equation as the exponent of our base 10 looks like this:
[tex]10^{log_{10} (x+3)} + 10^{log_{10} (2)} = 10^{3}[/tex]
Now we cancel out the log base 10 and the 10. We are left with:
(x+3) + (2) = 10^3
Lastly solve for x
x + 5 = 1000
x = 995
Tell whether x and y show direct variation
1. y - x = 4
2. x - y = 0
3. 8 = xy
4. What expression represents the sum of (2x-5y) and (x+y)?
5. What expression is equivalent to (7x-5) - (3x-2)?
Answer:
i) this does not show direct variation.
ii) this shows direct variation
iii) this shows direct variation
iv) (2x-5y) + (x+y) = 3x - 4y
v) (7x-5) - (3x-2) = 4x - 3
Step-by-step explanation:
i.) y - x = 4 this does not show direct variation.
ii) x - y = 0 [tex]\Rightarrow[/tex] x = y this shows direct variation
iii) 8 = xy [tex]\Rightarrow[/tex] 8/x = y this shows direct variation
iv) the sum of (2x-5y) and (x+y) [tex]\Rightarrow[/tex] (2x-5y) + (x+y) = 3x - 4y
v) expression that is equivalent to (7x-5) - (3x-2)
[tex]\Rightarrow[/tex] (7x-5) - (3x-2) = 4x - 5 + 2 = 4x - 3
Triangles PQR and XYZ are similar. What is the length of XZ? 6 5.25 3.5 2.57
Option B: 5.25 is the length of XZ
Explanation:
The triangles PQR and XYZ are similar.
To determine the length of XZ, let us use the similarity theorem.
The theorem states that, "if two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar".
Thus,
[tex]\frac{QR}{YZ} =\frac{PR}{XZ}[/tex]
Let us substitute the values from the diagram, we have,
[tex]\frac{4}{3} =\frac{7}{XZ}[/tex]
Multiplying both sides by 3, we get,
[tex]4 =\frac{21}{XZ}[/tex]
Thus,
[tex]XZ =\frac{21}{4}=5.25[/tex]
Thus, the length of XZ is 5.25
Hence, Option B is the correct answer.
Which equality represents a proportional relationship?
A) -2.8/-2 = 4.2/3
B) 2.6/1.3 = 4.2/2
C) 2/5 = 8/9
D) 3/4 = 7/12
Answer:
the answer to your question is b
quadratic function of 13 and 2
Answer:
[tex]f(x) = {x}^{2} - 15x + 26[/tex]
Step-by-step explanation:
Assuming we want to write a quadratic function with intercepts x=13 and x=2.
Then we can work backwards.
This means that:
x-13=0 and x-2=0
The factored form of this quadratic function becomes:
[tex]f(x) = (x - 13)(x - 2)[/tex]
We expand to get:
[tex]f(x) = {x}^{2} - 2x - 13x + 26[/tex]
We simplify to obtain:
[tex]f(x) = {x}^{2} - 15x + 26[/tex]
Compute $\sqrt{2\cdot 6^5 + 2\cdot 6^5 + 2\cdot 6^5}.$
Answer:
216
Step-by-step explanation:
1. √{6^6}
2. √(6^3)^2}
3.6^3
4.216
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Hope this helps!
-ShadyK
The value of the given expression is 216.
The given expression is,
[tex]\sqrt{2\cdot 6^5 + 2\cdot 6^5 + 2\cdot 6^5[/tex]
Square Root Computations:
The square root of a number is the number that we require to multiply by itself to obtain the original number
Now, solving the given expression as,
[tex]\sqrt{2\cdot 6^5 + 2\cdot 6^5 + 2\cdot 6^5}=\sqrt{2\cdot6\cdot6^4+2\cdot6\cdot6^4+2\cdot6\cdot^4}\\ =6^2\sqrt{12+12+12}\\ =36\sqrt{36}\\ =36\sqrt{4\cdot9}\\ =36\cdot2\cdot3\\=216[/tex]
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I need help with this please!
Answer:
If two parallel lines [tex]p[/tex] and [tex]q[/tex] are cut by a transversal, then the alternate interior angles are congruent.
Below is the prove of this.
Step-by-step explanation:
As we know that Alternate interior angles are two angles that are on the interior of [tex]p[/tex] and [tex]q[/tex], but on opposite sides of the transversal.
In other words, If two parallel lines [tex]p[/tex] and [tex]q[/tex] are cut by a transversal, then the alternate interior angles are congruent.
Lets prove this.
Given: p ║ q
Prove: ∠1 ≅ ∠2
Statement Reasons
1. p ║ q 1. Given
2. ∠1 ≅ ∠3 2. Corresponding Angles Postulate
3. ∠3 ≅ ∠2 3. Vertical Angles Congruence Theorem
4. ∠1 ≅ ∠2 4. Transitive Property of Congruence
23
Select the correct answer.
What happens to an electric current produced from an electromagnet when the direction of the magnetic field changes?
A.
The current stops.
B. The current increases.
C.
The direction of the electric current changes.
D.
The current decreases.
E.
The direction of the electric current stays the same.
Reset
Next
Answer:
For plato users: Option C.
Step-by-step explanation:
You and three friends spend $35 on tickets at the movies.Write and solve an equation to find the price of one ticket
Answer:
$8.75
Step-by-step explanation:
You and three friends = 4 people
$35 / 4 people = $8.75
The cost of one ticket is $8.75
Hope this helps :)
jake made some tarts. He sold 3/5 of them and gave 1/4 of the remainder to his friends. If he had 150 tarts left, how many did he sell?
Answer: 90 tarts
Step by Step: 150/5 = 30
30 multiplied times 3 = 90
Final answer:
Jake initially had 750 tarts, sold 450 of them, and had 150 tarts remaining after giving some to his friends.
Explanation:
Jake initially had a total number of tarts. He sold 3/5 of them and then gave 1/4 of the remainder to his friends. If he had 150 tarts left, we need to calculate the number he sold. Let's denote the total number of tarts as T. After selling 3/5 of T, Jake would have 2/5T left. Then, he gives away 1/4 of 2/5T, which means he's giving away 1/4 * 2/5T = 1/10T. So, he is left with 2/5T - 1/10T = 1/5T. We know that 1/5T equals 150, so T equals 150 * 5 = 750. Jake sold 3/5 of these, which is 3/5 * 750 = 450 tarts.
Again stuck why because our teacher got fired so we are stuck with substitute teacher
Q: 7>-20+b
Simply
Answer:
27 > b
Step-by-step explanation:
7 > -20 + b
7 + 20 > -20 + 20 + b
27 > b
Solve for the variable 8x+7=-9
Answer:
-2
Step-by-step explanation:
8x+7=-9
8x=-9-7
8x=-16
x=-16/8
x=-2
What simplified ratio correctly compares 27 feet to 36 feet?
The simplified ratio that correctly compares 27 feet to 36 feet is 3:4
Step-by-step explanation:
Step 1: Simplify the ratio by finding common factor
Step 2: Here, in this case the lowest common factor is 3. Divide both numerator and denominator by 3.
⇒ 27/36 = 9/12 (on dividing by 3)
⇒ 9/12 = 3/4 (again on dividing by 3)
At 10 percent interest, how long does it take to quadruple your money?
Group of answer choices
15.36 years
14.33 years
15.11 years
14.55 years
15.56 years
It takes about 14.55 years for quadruple your money
Solution:
Given that,
At 10 percent interest, how long does it take to quadruple your money
Rule of 144:
The Rule of 144 will tell you how long it will take an investment to quadruple
Here,
Rate of interest = 10 %
Therefore, number of years to quadruple your money is obtained by dividing 144 by 10
Rule of 144 Formula:
[tex]N = \frac{144}{R}[/tex]
Where:
N = Number of many years times.
144 = Is the constant variable.
R = Rate of interest.
[tex]\rightarrow N = \frac{144}{10} = 14.4[/tex]
Thus it takes about 14.4 years for quadruple your money.
Another method:
If initial amount is $ 1 and it if quadruples it should be $ 4
We have to find the number of years if rate of interest is 10 %
Let "n" be the number of years
Then we can say,
[tex]Amount = Principal(1+\frac{R}{100})^n[/tex]
[tex]4 = 1(1+\frac{10}{100})^n[/tex]
[tex]4 = 1(1+0.1)^n\\\\4= 1(1.1)^n\\\\4 = 1.1^n\\\\We\ know\ that,\\\\(1.1)^{14.55} = 1.1^n\\\\We\ know\ that\\\\If\ a^m = a^n\ then\ m = n\\\\Therefore,\\\\14.55 = n\\\\n = 14.55[/tex]
Thus Option D 14.55 years is correct
Type in true or false statement... Help ASAP please
For test point x = –2, the inequality is true.
For test point x = 0, the inequality is false.
For test point [tex]x=\frac{4}{5}[/tex], the inequality is true.
For test point x = 2, the inequality is false.
Solution:
Given expression is the inequality.
[tex]$\frac{5 x-3}{(x-1)(x+1)} \leq 0[/tex]
Substitute x = –2 in the inequality.
[tex]$\frac{5 (-2)-3}{(-2-1)(-2+1) }=\frac{-13}{(-3)(-1) }[/tex]
[tex]$=\frac{-13}{3 }[/tex]
< 0
For test point x = –2, the inequality is true.
Substitute x = 0 in the inequality.
[tex]$\frac{5 (0)-3}{(0-1)(0+1) }=\frac{-3}{(-1)(1) }[/tex]
[tex]$=3[/tex]
> 0
For test point x = 0, the inequality is false.
Substitute [tex]x=\frac{4}{5}[/tex] in the inequality.
[tex]$\frac{5 (\frac{4}{5} )-3}{((\frac{4}{5} )-1)((\frac{4}{5} )+1) }=\frac{1}{(-\frac{1}{5} )(\frac{9}{5} ) }[/tex]
[tex]$=\frac{-25}{9 }[/tex]
< 0
For test point [tex]x=\frac{4}{5}[/tex], the inequality is true.
Substitute x = 2 in the inequality.
[tex]$\frac{5 (2)-3}{(2-1)(2+1) }=\frac{7}{(1)(3) }[/tex]
[tex]$=\frac{7}{3 }[/tex]
> 0
For test point x = 2, the inequality is false.
Hence,
For test point x = –2, the inequality is true.
For test point x = 0, the inequality is false.
For test point [tex]x=\frac{4}{5}[/tex], the inequality is true.
For test point x = 2, the inequality is false.
Answer:
In the picture below
Step-by-step explanation:
Edge 2021
Graph the function y=-2x+6
Answer:
See photo
Step-by-step explanation:
The line is in slope-intercept form which looks like y = mx + b.
"x" and "y" represent points on the line.
"m" is the slope (how steep the line is) and if the line goes up (+) or down (-).
"b" is the y-intercept, which is where the graph hits the y-axis.
Take information from the equation y=-2x+6. Use the slope and the y-intercept to graph to line.
m = -2 = [tex]-\frac{2}{1}[/tex] (Fraction form).
b = 6
Plot a point at the y-intercept on the y-axis
If the y-intercept is 6, so you plot the point at (0, 6). (The y-intercept occurs when x = 0).
Find another point
Count the number of rise and run from the y-intercept.
Remember the slope is [tex]\frac{rise}{run}[/tex]
Run is the number of squares moving right. Rise is the number of squares moving up (if positive) or down (if negative).
Since the slope is -2/1, move two squares down and one square to the right to find another point on the line.
Connect the points
You only need two points to make a line. If you want the line to be longer, you can extend it with a ruler.
Other formatting rules
Remember to add arrows at the ends of the x and y axis.
Also, add arrows to the ends of the the line that you graphed.
Most teachers ask you to label the line with the equation.