Answer:
#1 - All real numbers are solutions.
#2 - All real numbers are solutions.
Step-by-step explanation:
#1 -
Let's solve your equation step-by-step.
12(6t−4)=3t−2
Step 1: Simplify both sides of the equation.
12(6t−4)=3t−2
(12)(6t)+(12)(−4)=3t+−2(Distribute)
3t+−2=3t+−2
3t−2=3t−2
Step 2: Subtract 3t from both sides.
3t−2−3t=3t−2−3t
−2=−2
Step 3: Add 2 to both sides.
−2+2=−2+2
0=0
Same for #2
2x+5=12
Show me the working out
Answer:
[tex]\sf{x=\dfrac{7}{2}=3.5 }[/tex]
Step-by-step explanation:
It is necessary to isolate the term of x from both sides in order to solve this problem.
First, subtract by 5 from both sides.
2x+5=12
[tex]\sf{2x+5-5=12-5}[/tex]
Solve.
[tex]\sf{12-5=7}[/tex]
2x=7
Divide by 2 from both sides.
2x/2=7/2
Solve.
Dividing is another option.
7/2=3.5
So, the final answer is 7/2=3.5.
I hope this helps you! Please let me know if my answer is wrong.
Graph the line with the equation y=5/4x-2
A 20-feet ladder leaning against a wall is used to reach a window that is 17 feet above the ground. How far from the wall is the bottom of the ladder? Round to the NEAREST TENTH of a foot.
Group of answer choices
10.5 ft
10.4 ft
10.6 ft
10 ft
Answer:
B, 10.5
Step-by-step explanation:
It's actually 10.54, but since you want be to round it, it's 10.5
slope-intercept form, write the equation of the line
that passes through the point (4, 2) with a slope of 5.
Answer:
[tex]y=5x-18[/tex]
Step-by-step explanation:
Given the following question:
Point A = (4, 2) = (x, y)
Slope = 5
To find the answer we are going to have to use the formula for slope intercept, substitute the values, then solve for the variable b to have our answer.
[tex]y=mx+b[/tex]
[tex]y=2[/tex]
[tex]m=5[/tex]
[tex]x=4[/tex]
[tex]2=5(4)+b[/tex]
[tex]5\times4=20[/tex]
[tex]2=20+b[/tex]
[tex]20-20=0[/tex]
[tex]2-20=-18[/tex]
[tex]-18=b[/tex]
[tex]b=-18[/tex]
[tex]y=5x-18[/tex]
Your answer is "y = 5x - 18."
Hope this helps.
The slope of 5,10 and 2,6 ?
Answer:
4/3
Step-by-step explanation:
We can use the slope formula to find the slope
m = ( y2-y1)/(x2-x1)
= ( 6-10)/(2-5)
= -4/-3
= 4/3
Drag each day to the correct location on the tree drag each estimated measurement next to the correct she not all shapes and measurements will be used.
A tree from a forest with a height of 30 feet is shown below the bottom branches are about 4 feet from the ground and are 10 feet long from left to right.the tree trunk is about 2 feet wide.
what are the appropriate shapes to model the trunk of the tree and the rest of the tree?what are the approximate surface areas of each of the two shapes?
Answer: cone Cylinder
Surface area is 402ft2 and 69ft2
Step-by-step explanation:
I got the answer right
The appropriate shape to model trunk is cylinder, rest of the tree is cone and surface area of trunk is 25.12 [tex]feet^{2}[/tex]and surface area of rest of the tree is 415.58 [tex]feet^{2}[/tex].
What is surface area?It is the space occupied by a two dimensional surface. The area occupied by a three dimensional object by its outer surface area.
How to calculate surface area?The upper part of the tree is similar to the cone and the trunk is of cylindrical shape. So the appropriate shape used to model the entire is cone above the cylinder.
We have been given the height of entire tree=30 feet,
Width of upper part=10 feet.
Height of trunk=4 feet
Width of tree means diameter of upper part or cone. Height of cone means height of cylinder, width of trunk means diameter of cone.
So, The radius of cone ie 5 feer,radius of cylinder is 1 feet, height of cone be 30-4=26 feet.
Surface area of cone is πrl where l is slant height of cone which is equal to [tex]\sqrt{r^{2} +h^{2} }[/tex]
l=[tex]\sqrt{5^{2} +26^{2} }[/tex]
=[tex]\sqrt{701}[/tex]
=26.47 feet.
Surface area of cone=π*5*26.47
=3.14*5.26*26.47
=415,28 [tex]feet^{2}[/tex]
Surface area of cylinder=2πrh
=2π*4*1
=2*3.14*4
=25.12 [tex]feet^{2}[/tex]
Hence cone and cylinder of surface area 415.28 [tex]feet^{2}[/tex] and 25.12 [tex]feet^{2}[/tex] can be used to model out tree.
Learn more about surface area at https://brainly.com/question/16519513
#SPJ2
Can anyone please help me with this question?
Answer:
Step-by-step explanation:
67 is tyen answer i did the quiz im in 9th grade
Write 3 1/2 hours : 36min as a ratio in its simplest form
Answer:
Step-by-step explanation:
you can re-write 3 1/2 hours into minutes.
1 hr = 60 minutes,
Therefore:
3 1/2 hours = 3.5 times 60 = 210 minutes
So now we have the ratio:
3 1/2 hours : 36 minutes
210 minutes : 36 minutes
Both numbers can be divided by 6
210/6 = 35 and 36/6 = 6
So now we can re-write the ratio as :
35 : 6
Please help :)
It would be really helpful if your formatted your answer like 8b. (Answer)
It’s fine if you can’t answer them all juts say which ones your can :) tysm!
Answer:
36
Step-by-step explanation:
one calculator price =30/5=6
cost price of 6 calculator=6*6=36
someone help please
Answer:
Step-by-step explanation:
Semicircle:
diameter = 6 yd
r = 6/2 = 3 yd
[tex]Area \ of \ semicircle = \dfrac{1}{2}\pi r^{2}\\\\[/tex]
[tex]=\dfrac{1}{2}*3.14*3*3\\\\= 14.13 \ yd^{2}[/tex]
Triangle:
base = b =6 yd
height = h = 4 yd
[tex]Area \ of \ triangle = \dfrac{1}{2}bh\\\\[/tex]
[tex]=\dfrac{1}{2}*6*4\\\\\\= 3*4\\\\= 12 \ yd^{2}[/tex]
Area of composite figure =area of semicircle + area of triangle
= 14.13 +12
= 26.13 yd²
Can anyone help me with this?
Answer:
is there an area tho
Step-by-step explanation:
add [7x] ^2-8, [2x] ^2+1 and 5-x^2. and ^ means power and if you spam i will report you
Answer:
52x2−2
Step-by-step explanation:
=49x2+−8+4x2+1+5+−x2
Combine Like Terms:
=49x2+−8+4x2+1+5+−x2
=(49x2+4x2+−x2)+(−8+1+5)
=52x2+−2
which expression is equivalent to 2(t+1)+(t+3)?
a. 2t + 5
b. 3t + 5
c. 3t + 3
d 4t + 8
Find the length of the side RT in the triangle above.
In the given ∆RST,
➾Tan 53° = ST/RT
➾ 1.327 = 14/RT
➾ RT = 14/1.327
➾ RT = 10.55 (approx)
➢ Therefore, the length RT = 10.55 cm (approx)
If the area of a rectangle is 12mn^2 and the width is 3m^2n, what would be the length of the rectangle, given that length is found by dividing area by length?
Let's see
Area=Length×Breadth[tex]\\ \rm\rightarrowtail 3m^2n(L)=12mn^2[/tex]
[tex]\\ \rm\rightarrowtail mL=4n[/tex]
[tex]\\ \rm\rightarrowtail L=4n/m[/tex]
Answer:
[tex]\sf length=\dfrac{4n}{m}[/tex]
Step-by-step explanation:
Area of a rectangle = width × length
Given:
[tex]\sf area=12mn^2[/tex][tex]\sf width=3m^2n[/tex]Substituting the given expressions into the equation:
[tex]\sf \implies 12mn^2=3m^2n \times length[/tex]
[tex]\sf \implies length=\dfrac{12mn^2}{3m^2n}[/tex]
Factor 12 to 3 · 4:
[tex]\sf \implies length=\dfrac{3 \cdot 4mn^2}{3m^2n}[/tex]
Cancel the common factor of 3:
[tex]\sf \implies length=\dfrac{4mn^2}{m^2n}[/tex]
Simplify [tex]\sf \dfrac{n^2}{n}=n[/tex] :
[tex]\sf \implies length=\dfrac{4mn}{m^2}[/tex]
Simplify [tex]\sf \dfrac{m}{m^2}=\dfrac{1}{m}[/tex] :
[tex]\sf \implies length=\dfrac{4n}{m}[/tex]
Byron earns $11.00 per hour. How many hours will Byron have to work to earn $143.00?
7.7 hours
13.0 hours
14.3 hours
15.7 hours
Answer:
13.0 hours
Step-by-step explanation:
$143 ÷ $11 (how he gets payed per hour) = 13 hours
Byron has to work 13 hours to earn $143 dollars
Answer:
[tex]Byron \: will \: have \: to \: work \: for \\ \: 13\: hrs \: to \: earn \: 143[/tex]
[tex]let \: the \: number \: of \: hrs \: = x \\ then \\ for \: the \: salary \: of \: \: 143 \: \\ the \: earning \: \times \: the \: time \: (x) = 143 \\ so \: 11x \: = 143 \\ x = \frac{143}{11} = 13.[/tex]
A box of dried fruit has 52 Calories in 4 servings how many calories are there per serving
Answer:
13 calories per serving
Step-by-step explanation:
52/4 = 13
Answer:
13
Step-by-step explanation:
52 divide 4 equals to 13
Hope this help :)
1. Which of the following models is an exponential decay model?
a) y = 12 (3.57)^t
b) y = 4 (1.21)^t
c) y = 1 + 6t
d) y = 7 (0.98)^t
2. Which of the following models is an exponential decay model?
A) y = 2,000 (0.07)^t
B) y = 4,000 (3.84)^t
C) y = 26t^2
D) y = 1 + 17t
3. Exponential decay models have a base between ____ and ____.
Answer:
1. d) [tex]\mathsf{y=7(0.98)^t}[/tex]
2. A) [tex]\mathsf{y=2000(0.07)^t}[/tex]
3. zero and 1
Step-by-step explanation:
General form of an exponential model: [tex]\mathsf{y=ab^x}[/tex]
If 0 < b < 1 then model decays
1. d) [tex]\mathsf{y=7(0.98)^t}[/tex]
2. A) [tex]\mathsf{y=2000(0.07)^t}[/tex]
3. Exponential decay models have a base between 0 and 1
Solve for x.
z = 6 π x y
Image Below
Answer:
third option
Step-by-step explanation:
Given
z = 6πxy ( isolate x by dividing both sides by 6πy )
[tex]\frac{z}{6\pi y}[/tex] = x
7. a. dilate point c using center d and scale factor 3/4
b. dilate segment ab using center d and scale factor 1/2.
The dilations will give the relations:
C'D = (3/4)CD and A'B' = (1/2)AB
And a sketch of the graph can be seen at the end.
How to dilate C?First, we want to dilate point C using D as the center of dilation with a scale factor = 3/4.
This only means that we will have the new point C', such that:
C'D = (3/4)*CD
Where CD is the distance between points C and D
b) Similarly, we will dilate the whole segment AB into the segment A'B', such that:
A'B' = (1/2)AB.
It is hard to give the exact graph when we don't know the coordinates of the points, but the graph should look something like the one you can see below.
If you want to learn more about dilations, you can read:
https://brainly.com/question/3457976
Which is a factor of x2 8x – 48? (x – 6) (x 4) (x – 16) (x 12)
Answer: D
Step-by-step explanation:
True or false: When describing range, you should start with the smallest y-value, au
work your way to the largest.
Answer:
true
Step-by-step explanation:
hope this helped!
p.s it would be cool if you gave me brainliest.
Answer:
True
Step-by-step explanation:
To find the range first order the data from the least to greatest. Then subtract the smallest value from the largest value in the set.
Solve for the given variable
ax-bx=3;x
I need help :
Answer:
x = [tex]\frac{3}{a-b}[/tex]
Step-by-step explanation:
Given
ax - bx = 3 ← factor out x from each term on the left side
x(a - b) = 3 ← divide both sides by (a - b)
x = [tex]\frac{3}{a-b}[/tex]
anyone know this? pleaseee
Answer:
x-4/3
Step-by-step explanation:
the unknown number is the number they think of, you can't read their mind. but you know you have to subtract by 4 and divide by 3.
Sushil and Fiona win some money and share it in the ratio 3:5. Sushil gets £42. How much did they win in total?
Help please!!
Answer:
Step-by-step explanation:3 divided by 42=14
14*5=70
70+42=112
Solve each system of equations 2a+b+c=0 2b+c+a=-4 2c+a+b+4
Answer:
(a, b, c) = (0, -4, 4)
Step-by-step explanation:
Any of a variety of calculators, spreadsheets, or web sites can solve these equations for you. A calculator result is attached. It shows the solution to be ...
(a, b, c) = (0, -4, 4)
__
If you'd like to solve the system by hand, here's one way:
Add the three equations together:
(2a +b +c) +(2b +c +a) +(2c +a +b) = (0) +(-4) +(4)
4a +4b +4c = 0 . . . . simplify
a +b +c = 0 . . . . . divide by 4
Substitute this into each of the other equations:
a +(a +b +c) = 0 ⇒ a +0 = 0 ⇒ a = 0
b +(a +b +c) = -4 ⇒ b +0 = -4 ⇒ b = -4
c +(a +b +c) = 4 ⇒ c +0 = 4 ⇒ c = 4
Divide B by 3 then triple the results
Answer:
It is B
Step-by-step explanation:
B:3=b
bx3=B
Sony’s wireless bluetooth speaker originally costs $99. Currently it is on sale for 45% off. What is the discount?
Answer:
How much it's worth now - 54.45 Dollars
Discount - 44.55 Dollars
Matthew was flying a paper airplane. If Matthew’s plane flew 36.5 centimeters, how many inches did matthew’s plane fly?
Answer:
The answer should be 14.37008 inches.
Step-by-step explanation:
please help!! a circular garden has a diameter of 16 yards. what is the area of the garden. use 3.14 for pi.
A. 50.24 yd2
B. 100.48 yd2
C. 200.96 yd2
D. 803.84 yd2
Answer:
C. 200.96 yd²
Step-by-step explanation:
diameter = 16 yd
radius = diameter/2 = 16 yd / 2 = 8 yd
area = πr²
area = 3.14 × (8 yd)²
area = 200.96 yd²