The student did not properly distribute the 4 to all terms in the parenthesis:
-8n + 4(1 + 5n) = -6n - 14
First, distribute 4 to ALL terms in the parenthesis:
-8n + 4 + 20n = -6n - 14
Next, isolate the variable, n. Add 6n and subtract 4 from both sides:
-8n + 20n (+6n) + 4 (-4) = -6n (+6n) - 14 (-4)
-8n + 20n + 6n = -14 - 4
Simplify. Combine like terms:
(-8n + 20n) + 6n = -18
12n + 6n = -18
18n = -18
Isolate the variable, n. Divide 18 from both sides:
(18n)/18 = (-18)/18
n = (-18)/18
n = -1
n = -1 is your answer.
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Answer:
-According to the student's work shown, The student needs to distribute 1 and 5[tex]n[/tex] by 4. So, the mistake was that the student did not distributed the 1 and 5[tex]n[/tex], in which the student only distributed the 1.
-The equation: [tex]8n + 4(1+5n)=-6n-14[/tex]
-Distributed Incorrectly:
[tex]8n + 4+5n=-6n-14[/tex] (only distributed the 1 by the 4)
-Distributed Correctly:
[tex]8n + 4+20n=-6n-14[/tex] (distributed both 1 and 5[tex]n[/tex] by the 4)
-The correct calculation:
[tex]8n + 4(1+5n)=-6n-14[/tex]
[tex]8n + 4+20n=-6n-14[/tex]
[tex]12n+4 = -6n -14[/tex]
[tex]12n + 4+ 6n=-6n+6n-14[/tex]
[tex]18n +4 = -14[/tex]
[tex]18n +4 -4 = -14 -4[/tex]
[tex]18n = -18[/tex]
[tex]\frac{18n}{18}= \frac{-18}{18}[/tex]
[tex]n = -1[/tex]
The correct answer is [tex]n = -1[/tex] .
In the parabola y=(x+1)^2+2
Direction: Opens Up
Vertex: (1,2)
Focus: (1, 9/4)
Axis of Symmetry: x = 1
Directrix: y = 7/4
What is the base 8 representation of the number 600?
Answer:
1130
Step-by-step explanation:
8x75=600
8÷9=72+3
8×1=8+1=9
8×1+1=9
Answer:1130^8
Step-by-step explanation:trust me bro
Divide x³+x²+x+1 by x+1
Answer:
x^2+1
Step-by-step explanation:
x^3+x^2+x+1 / x+1
=(x+1)(x^2+1) / x+1
reduce (x+1) and x+1 and you will get x^2+1
A triangle has sides with lengths of 8 centimeters, 14 centimeters, and 16 centimeters. Is it a right triangle?
Answer:
No, the triangle is not a right triangle
Step-by-step explanation:
In this question, we are asked to determine if the triangle having the lengths given in the question is a right triangle.
To answer this question, we need to take into consideration a very important property of right angle triangles.
The property is that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the two other sides
The hypotenuse is the one with the longest length. Thus, the hypotenuse here is 16 centimeters.
Now let’s have the squares!
The square of the hypotenuse is 16 * 16 = 256
Let’s sum the squares of the other two sides;
(8 * 8) + ( 14 * 14) = 64 + 196 = 260
These squares are not equal so we can conclude that the triangle is not a right triangle
Question 11 (1 point)
Identify the literary device being used - "It's so delightful to be home with a sick child twice in one week."
Blank 1:
Answer:
no clue bud
Step-by-step explanation:
WILL MARK BRAINLIEST!!
The volume of a cylinder is 1,386 m3 and its radius is 7 m. What is its height to the nearest whole number?
Answer:
h = 9
Step-by-step explanation:
[tex]volume = \pi \: {r}^{2} h \\ 1,386 = \frac{22}{7} \times 7 \times 7 \times h \\ 1,386 = 154 \times h \\ h = \frac{1,386}{154} \\ h = 9[/tex]
Select the correct answer. Segment KL is a diameter of circle Q. Circle Q is represented by the equation (x − 11)2 + (y + 15)2 = 7. What is KL? A. B. C. D.
Answer:
2√7
Step-by-step explanation:
Mathematically, the equation of a circle can be represented by;
(x-h)^2 + (y-k)^2 = r^2
where (h,k) = center and r = radius
Applying this to the question, we can see that the length of the radius of the circle is √7
The diameter is always twice the radius
Thus, the diameter KL = 2 * √7 = 2√7
what function below will translate f(x)=x^2 left 5 units a down 1 unit?
A. f(x)= (x-1)^2-5
B.f(x)=(x-5)^2-1
C.f(x)=(x-5)^2+1
D.f(x)=(x+5)^2-1
HELP ASAP
Answer:
B
Step-by-step explanation:
In the parenthesis with x it up or down on the y axis, and then after the function is what where after or before the origin the line starts on the x-axis.
what is surface area?
In a quadrilateral, the measure of two opposite angles is the same. Each of the other
two angles measures exactly two times the given angle. Find the measure of each angle
in the quadrilateral.
Answer:
the two opposite angles equal 45 and the other two who are twice the amount is 90
Step-by-step explanation:
sum of angles in a quadrilateral is 360. Lets name the two equal diagonal angles x that means the equation wil be
x+x+2x+2x=360
8x=360
x=45
so the equal diagonal ones will be 45 and the other two angles will be twice as much so 45x2=90
Jason is traveling by car from his home to his office. He has gone 3.5 miles so far. From this point on, he can cover 100 miles every 2 hours. What is the equation of a line that models the total miles traveled, y, in x hours after this point?
A.
y = 100x + 3.5
B.
y = 100x – 3.5
C.
y = 50x + 3.5
D.
y = -50x + 3.5
Can you help me find x?
Answer:
Im 99 percent sure its b or c
Step-by-step explanation:
but wait for the other kid to answer
Tom bought a pen for $60 and sold it to gain 20% on his cost price. How much money did he gain.
Please answer quickly and honestly. You have 10 seconds to complete
Answer:
12
Step-by-step explanation:
that is because 20 of 60 is 12
60X20/100=12
there are 18 blueberries in a bowl .there are 3 times as many blueberries as strawberries in the bowl.how many strawberries are in the bowl?
Answer:
6
Step-by-step explanation:
Number of blueberries = 18
Number of strawberries = 3 times less than blueberries
Number of strawberries
18/3 = 6Answer: 6 strawberries
What is the y intercept of y= -3x
A (-3,0)
B ( -3,-3)
C (0,0)
D (0, -3)
Please answer ASAP
Answer:
(0,0)
Step-by-step explanation:
y= -3x
The y intercept is the y value when x =0
Let x =0
y = -3(0)
y = 0
(0,0)
Answer:
C.
Step-by-step explanation:
You can either graph this function to find the y-intercept or set x =0 and solve for y.
In ΔMNO, the measure of ∠O=90°, MN = 9 feet, and OM = 4.2 feet. Find the measure of ∠N to the nearest degree.
Answer:
The measure of angle N to the nearest degree is 28 degrees
Step-by-step explanation:
To answer this question, we shall be needing a diagrammatic representation of the triangle. Please check attachment for this.
To calculate the angle N, we shall be making use of trigonometric identities. From the diagram we see that we have the hypotenuse ( the longest side and the side facing the angle 90) and also the opposite ( the side facing the angle N)
Thus, the correct trigonometric identity to use here is the Sine
Mathematically, the sine of an angle = length of the opposite/length of the hypotenuse
Our opposite here is 4.2 feet with our hypotenuse as 9 feet
Plugging these values, we have
Sin N = 4.2/9
Sin N = 0.46666667
N = arc sin (0.46666667)
N = 27.82 , to the nearest degree we have 28 degrees
Answer:
28°
Step-by-step explanation:
:)
If point (3,-3 above is refected across the xaxis, what would be the cordinates of the reflection? Explain
Mariya was asked to solve StartFraction a over negative 13 EndFraction less-than-or-equal-to negative 16 and then graph the solution. Her work is shown below. Step Mariya’s work StartFraction a over negative 13 EndFraction less-than-or-equal-to negative 16 Step 1 (Negative 13) StartFraction a over negative 13 EndFraction less-than-or-equal-to negative 16 (negative 13) Step 2 a greater-than-or-equal-to 208 Step 3 A number line going from 205 to 211. An open circle is at 208. Everything to the right of the circle is shaded. In which step, if any, did Mariya make a mistake in her work? Step 1 Step 2 Step 3 No mistake found
Answer:
the answer is step 3 because the circle on the number line is open.
pls make mine as the Brainliest answer that would really help
Mariya's mistake in solving the inequality and plotting the number line is in step 3
How to determine the mistake in the step?The inequality is given as:
[tex]\frac{a}{-13} \le -16[/tex]
Multiply both sides of the inequality by -13
[tex]a \ge 208[/tex]
The above means that the solution to the inequality are numbers greater than or equal to 208.
This means that we make use of a closed circle
In step 3 of Mariya's solution, the number line uses an open circle
Hence, Mariya's mistake is in step 3
Read more about inequality at:
https://brainly.com/question/11234618
#SPJ5
Laura drives a garbage truck that weighs 3 tons. She picked up 2 tons of recyclables. What is the total weight in pounds of the garbage truck and recyclables?
Answer:
Step-by-step explanation:
Total weight=The garbage truck weight + recyclables weight =3 tons + 2 tons = 5 tons
Answer: 5
Step-by-step explanation:
3+2=5
Which table could be used with Table A to verify that the function modeling Fahrenheit temperature, F(C), based on a given Celsius temperature, C, is the inverse of C(F)?
Answer:
Its A
Step-by-step explanation:
c=-20, -15, -5
f(c)=-4,5,23
gl with your test or quiz
Answer: its A
Step-by-step explanation:
What is the surface area of the prism
A. 812
B. 1,190
C. 2,352
D. 132
Answer:
B. 1,190 square cm
Step-by-step explanation:
For given prism:
l = 16 cm, w = 7 cm, h = 21 cm
Surface area of of the prism
[tex]= 2 (lw + wh + hl) \\ = 2(16 \times 7 + 7 \times 21 + 21 \times 16) \\ = 2(112 + 147 + 336) \\ = 2 \times 595 \\ = 1190 \: {cm}^{2} \\ [/tex]
What is the value of x?
Answer:
x=3
Step-by-step explanation:
4x = 2x + 6
-2x -2x + 6
2x = 6
x = 3
Answer: 56° and 34°
Step-by-step explanation: Well we know this is a complementary angle and if two angles are complementary, then the sum of their measures is 90 degrees.
If these two angles have to add together to be 90 degrees, we can use that fact to set up our equation. We can say that 4x + (2x + 6) = 90.
Simplifying from here, we have 6x + 6 = 90.
Subtracting 6 from both sides, we have 6x = 84.
Dividing both sides by 6, we find that x = 14.
Now, remember that these should add up to 90 degrees.
We can check by substituting the value that we just found back in for x to check our angles. If they add to 90 degrees, we did it correctly.
So for the first one we have 4(14) which is 56 and for the next one we have 2(14) + 6 or 28 + 6 which simplifies to 34.
Now adding, 56 + 34 gives us 90.
So, we know that these are the correct measures.
Find the value of x in these right-angled triangle, correct two decimal places A=20 B=7
Answer:
There are two possibilities: 1) A is the hypotenuse: [tex]C \approx 18.74[/tex], 2) A is not the hypotenuse: [tex]C \approx 21.19[/tex]
Step-by-step explanation:
Let be C the remaining side of the triangle. Given that triangle is right-angled and the remaining side can be found by Pythagorean Theorem, there are two options by using the two known sides:
1) A is the hypotenuse
[tex]20^{2} = 7^{2} + C^{2}[/tex]
[tex]C^{2} = 20^{2}-7^{2}[/tex]
[tex]C = \sqrt{20^{2}-7^{2}}[/tex]
[tex]C \approx 18.74[/tex]
2) A is not the hypotenuse
[tex]C^{2} = 20^{2} + 7^{2}[/tex]
[tex]C = \sqrt{20^{2}+7^{2}}[/tex]
[tex]C \approx 21.19[/tex]
PLEASEEE HELPPPP MEE WITH LINE PLOTSSS I DONT UNDERSTAND THISSSS
PLEASEE HELPPPP!!!!!!!
Answer:
Look at the lightest loaf of bread. It weighs 22 1/3 oz. The heavist loaf weighs 24 1/2. Subtract 24 1/2 and 22 1/3. Then, if the answer to that is 1 1/2 ounces then you agree. If it is not, then disagree. Then, add up all of the weights of the bread and find the answer.
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Answer:
D.
Step-by-step explanation:
So find what two numbers multiply to 72 and add up to 17
9 and 8
(z + 9)(z + 8)
Answer:
D. (z + 9)(z + 8)
Step-by-step explanation:
Let's factor z2+17z+72
z2+17z+72
The middle number is 17 and the last number is 72.
Factoring means we want something like
(z+_)(z+_)
Which numbers go in the blanks?
We need two numbers that...
Add together to get 17
Multiply together to get 72
Can you think of the two numbers?
Try 8 and 9:
8+9 = 17
8*9 = 72
Fill in the blanks in
(z+_)(z+_)
with 8 and 9 to get...
so (z + 9)(z + 8)
PLZ HELP IM TIMMED The following sets of numbers are possible side lengths of a triangle. Which of the following sets forms a Pythagorean triple?
18, 24, 42
45, 28, 53
15, 30, 45
33, 77, 22
Answer:
Test each set of lengths using Pythagoras' Theorem. Is a2+b2=c2?
Step-by-step explanation:
Answer:
You have to see each one and do the formula, a^2*b^2= c^2, then under'root the c^2 to become c
Marquis wrote the linear regression equation y=1.245x-3.685 to predict the cost, y, of x songs purchased. Which is the best estimate of number of songs that marquis purchased?
The complete question is;
Marquis wrote the linear regression equation y = 1.245x - 3.685 to predict the cost, y, of x songs purchased. Marquis spent $40 on songs. Which is the best estimate of the number of songs that Marquis purchased?
Answer:
The best estimate of the number of songs that Marquis purchased = 35 songs
Step-by-step explanation:
First of all, let's make x the subject of the linear regression equation.
We are given that,
y = 1.245x - 3.685
So,
1.245x = (y + 3.685)
x = (y + 3,685) / (1,245)
We are told that Marquis spent $40 on songs.
Thus;
Substituting the value of $40 for y into the equation to get;
x = (40 +3,685)/(1,245)
x = 35.09
x ≈ 35
Thus, the best estimate of the number of songs that Marquis purchased is 35
Answer:
the number of songs that Marquis purchased is 35
Find the value of k ,if x=2 and y=3.Find the equation of 2x+3y=k
Answer:
k=13
Step-by-step explanation:
substitute x and y
4+9=k
k=13
Answer:
13
Step-by-step explanation:
Plug in the given x and y values: 2(2) + 3 (3) = k
Then multiply 4 + 9 = k
Then add 13 = k
What is the value of the function at x= -2?
Y=-4
Y=0
Y=2
Y=3
Answer:
y = 3
Step-by-step explanation:
When x = -2, y = 3. You can tell because when you go to the -2 on the graph, and you move upwards, towards the line, the line lays on the point 3.
Which point is located at (Negative 1, 1 and one-fourth)?
Answer:
(-1, 1 1/4) or (-1, 1.25)
Step-by-step explanation:
Answer:
Its A
Step-by-step explanation: