Lin and Noah are solving the equation `7(x+2)=91`. Lin starts by using the distributive property. Noah starts by dividing each side by 7. Show what Lin's and Noah's full solution methods might look like.
HELPPP
Answer:
Step-by-step explanation:
Lin’s method
- multiply both x and 2 by 7
7x+14 = 91
- add -14 at both members
7x+14-14 = 91-14
7x = 77
- divide the two members by 7
x = 11
Noah’s method
- divide the two members by 7
x+2 = 13
- add -2 at both members
x+2-2 = 13-2
x = 11
Answer:
The solution is x=11
Step-by-step explanation:
The original equation is
7(x+2)=91
Lin uses the distributive property, which states that
a (x+y) = ax + ay
By applying the property to this case,
7(x+2)=91
7x+14=91
Then we subtract 14 on both sides:
7x+14 - 14 = 91-14
7x=77
Finally, we divide by 7 on both sides:
7x÷7 = 77÷7
x=11
Noah starts by dividing each side by 7, so he gets:
7(x+2)÷7 = 91÷7
x+2= 13
Then he can subtract +2 from both sides:
x+2-2 =13 - 2
x=11
So, they get the same result. The similarity between the two methods is that they both divide by 7, while the difference is that Lin has to subtract 14, while Noah has to subtract 2.
Sandy plays tennis once every 6 six days. Jim plays once every 8 eight days. If they both played tennis today, in how many days will play on the same day.
24...
8x3=24
6x4=24
Thats the soonest theyll play together.
Can someone please help me with math.
Find the surface area of the triangular prism. The base of the prism is an isosceles triangle.
Answer:
Surface area = 505cm²
Step-by-step explanation:
Surface area of the triangular prism. = 2B + ph
B is the base area
p is the perimeter of the triangle
h is the height of the triangle
Base area = 1/2 * base * height
Base area = 1/2 * 18 * 40
Base area = 9 * 40
Base area = 360cm²
Perimeter of the triangle = 41 + 41 + 18
Perimeter of the triangle = 100cm
height of the prism = 45cm
Surface area = 360 + 100 + 45
Surface area = 505cm²
What is 3/4 divided by 1/2
Respuesta: 3/2= 1 1/2
Answer:
1 1/2 or 1.5
Step-by-step explanation:
To divide a fraction, use the phrase, "keep, change, flip"
We keep the first fraction as it is, change the sign to multiplication, and flip the second fraction to its multiplicative inverse.
So 3/4 divided by 1/2 becomes:
3/4 x 2/1
= 6/4 = 1 1/2
Anyone know how to do this?
Answer:
y = -1/2 x + 25
The relationship is linear, but it takes some doing.
Step-by-step explanation:
Remark
This is a very interesting problem. I've never seen one quite like it. There is probably a much better way of solving it, but I did not discover it.
You have to introduce another variable which I labeled as z.
Let time = x
Let distance = y
Let the step away from the starting point = z which will be the same for x and y. So 18 and 16 the step away from the start is 3.
So as the time increases, the distance decreases. What we are going to do sort of resembles a parametric relationship.
t starts with 10
x = 10 + 4*(z - 1) and increases by 4 with each step
d starts with 20 and decreases by 2 with each step
y = 20 - (z - 1)*2
Now solve for z in each of the forgoing equations.
x = 10 + 4z - 4
x = 6 + 4z
x - 6 = 4z
(x - 6)/4 = z
y = 20 - 2z + 2
y = 22 - 2z
y - 22 = - 2z
(y - 22)/-2 = z
Since the zs must be kept the same, the left sides are equated
(x - 6)/4 = (y - 22)/-2 Cross multiply
-2(x - 6) = 4(y - 22) Remove the brackets.
-2x + 12 = 4y - 88 add 88 to both sides.
-2x + 100 = 4y Switch the sides
4y = - 2x + 100 Divide by 4
y = -1/2 x + 25
Now for sure you have to try this.
Let x = 14
y = -1/2 * 14 + 25
y = -7 + 25
y = 18
Try another one
Let x = 22
y = -1/2 * 22 + 25
y = - 11 + 25
y = 14
Those two at least check.
_____X^2+10x+10_____
pls help me with this :/. this is due in like 5 mins!!! (i’ll mark brainiest if u don’t leave a link just pls help me!)
9. An object that has traveled 400 km in 50 hours, what was the average speed?
Answer:
its 8
Step-by-step explanation:
Divide 400÷50
Are the two triangles congruent ? Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!
Answer:
yes
Step-by-step explanation:
what theorem is this
sss,sas,asa,aas,hl, or not enough info
what percent of 19.7 is 24
Answer:
82.083333333333%
Step-by-step explanation:
What is the formula for the area of a circle?
O A. A = 727
O B. A = 20
O C. A = terd
O D. A = 2
X = y - 3
2x + y = 12
pls hurry i need badly
[tex] \huge \colorbox{yellow}{Question}[/tex]
[tex]x = y - 3[/tex][tex]2x + y = 12[/tex]
[tex] \huge \colorbox{yellow}{Answer}[/tex]
[tex]x = y - 3 \: (equation \: 1)[/tex]
[tex]2x + y = 12 \: (equation \: 2)[/tex]
Substituting the value of x in
( equation 2)
[tex]2x + y = 12[/tex]
[tex]2(y - 3) + y = 12[/tex]
[tex]2y - 6 + y = 12[/tex]
[tex]2y + y = 12 + 6[/tex]
[tex]3y = 18[/tex]
[tex]y = 18 \div 3[/tex]
[tex]y = 6[/tex]
Now we get y = 6
Substituting the value of y in
( equation 1 )
[tex]x = y - 3[/tex]
[tex]x = 6 - 3[/tex]
[tex]x = 3[/tex]
Now we get x = 3
[tex] \huge \mathsf\red{Final \: Answer}[/tex]
y = 6 x = 3what is the square root of 30
Answer:
hi
Step-by-step explanation:
i think so...
[tex] \sqrt{30} = 5.47[/tex]
have a nice day
What's 8x3 please help me.
Answer:
24
Step-by-step explanation:
Answer: Equals 24! Have a great day!
What is the sign of - 4x .y. 06 when X and Y are positive numbers?
Choose 1 answer:
A.Positive
B.Negative
C.Zero
Answer:
Step-by-step explanation: ZERO
140% of 60. can someone explain????
Answer:
84
Step-by-step explanation:
140% of 60 = 60 times 140% = 60 × 1.4 = 84
Answer:
84
Step-by-step explanation:
We can use a proportion to answer this question.
On the left side of the equal we can put the percentages (at first place the given one and in the second place 100)
On the right side we can put the numbers. x is the 140 of 60, while 60 is the
100%
140: 100 = x : 60
For find the x we have to multiply 60 and 140 and divide the result for 100
x = (60*140)/ 100 = 84
Send
# 84 square inches
4
4. Luke has a cylinder with a radius of 5 inches and a height of 6 inches. What is the total.
surface area of his cylinder in cubic inches? 8.7B-R
F
G
345.6 in?
251.3 in?
188.5 in
471.2 in?
H
J
Use Pi symbol on ca This assignment has been submitted and is no longer editable.
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Show Your We
Complete Question
Luke has a cylinder with a radius of 5 inches and a height of 6 inches. What is the volume of his cylinder in cubic inches?
Answer:
471.24 cubic inches
Step-by-step explanation:
The formula for the volume of a cylinder =
πr²h
r = Radius = 5 in
h = Height = 6 in
Hence,
Volume = π × (5 in)² × 6 in
= 471.24 cubic inches
Therefore, the volume of his cylinder in cubic inches = 471.24 cubic inches
Help W algebra!!(logs!)
how do I solve this and what steps do I take to solve it
Answer:
122.46 mi^2
Step-by-step explanation:
IF ans is correct comment back for explanation
help me pls i give brainliest
Answer:
Decreased I think because they bumped into the other person
Step-by-step explanation:
Answer:
increased
i just heard my brother say it because he's in highschool. TwT
PLEASE ANSWER THIS ASAP WHOEVER IS CORRECT GET BRAINLIST
Answer:
-Entire triangle region : 120 sq.cm
-Area of semi circle : 100.53 sq.cm
-Entire composite figure : 220.53 sq.cm
Step-by-step explanation:
Area of triangle = ½ × base × height
= ½ × (8+8) × 15
=½ × 16 × 15
= 120 sq.cm
[tex]area \: of \: semi \: circle = \frac{1}{2} \pi {r}^{2} \\ = \frac{1}{2} \times \pi \times {8}^{2} \\ = \frac{1}{2} \times \pi \times 64 \\ = 32\pi[/tex]
=100.530.......
=100.53 sq.cm (rounded to 2 decimal place)
Area of entire figure = 120 + 100.5353
= 220.53 sq.cm
Hope I could help:))
PLEASE HELP ME ASAP I AM BEGGING YOU. NO SPAM ANSWERS. Find the perimeter of the shaded regions below. Give your answer as a completely simplified exact value in terms of (no approximations). The figures below are based on semicircles or quarter circles and problems b), c), and d) are involving portions of a square. ONLY FIND THE PERIMITER PLZ
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!JUST THE PERIMETER PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Can you make a different question with an image attached?
Can you guys help with the exercise?
HELPPPP
What is the value of x in the figure at the right?
Answer:
B) 24
Step-by-step explanation:
This angle adds to 90 degrees, so to solve for x you need this equation:
(2x) + 42 = 90
Subtract 42 from both sides to get:
2x = 48
Divide 2 from both sides to get:
x = 24
Hope it helps!!!
Which statement below accurately describes the data in the table?
A)
More than 75% of the students prefer Alternative or Hip Hop music.
B)
40% of students prefer Hip Hop.
C)
The mode of the data is Alternative Music,
D)
More than 25% of students prefer Country or Rock Music.
Answer:
The answer is A:More than 75% of the students prefer Alternative or Hip Hop music.
Step-by-step explanation:
What is the measure of the unstable Angle of the triangle below?
Options:
A- 90
B- 82
C- 98
Can someone help me with this. Will make brainliest. Need answer and explanation/work. Thank you.
Answer:
A quadrilateral has a parallelogram if one pair of opposite sides is congruent and parallel. Parallelograms are designed to have diagonals that bisect one another. When ABCD is bisected by — BD and —AC, then ABCD is a parallelogram.
Step-by-step explanation:
Answer:
A quadrilateral has a parallelogram if one pair of opposite sides is coinciding exactly when superimposed and parallel. Parallelograms are designed to have diagonals that bisect one another. When abcd is bisected by bd and ac, then abcd is a parallelogram.
Step-by-step explanation:
HELPPP PLSSS THIS IS MY THIRD TIME POSTING THIS PLS HELP ME I WOULD MARK YOU BRAINIEST What is the slope of the line below?
(3,5)
(3, 2)
A. positive
B. undefined
C. negative
D. Zero
Answer:
B
Step-by-step explanation:
its undefined because 3/0.