x+14 = 7x+32-3x
x+14 = 4x+32
-x -x
14 = 3x+32
-32 -32
-18 = 3x
/3 /3
-6 = x
x = -6
Answer:
x=-6
Step-by-step explanation:
x+14=7x+32-3x
x+14=7x-3x+32 group like terms
x+14=4x+32 add similar element
x+14-14=4x+32-14 subtract 14 from both sides
x=4x+18 simplify
x-4x=4x+18-4x subtract 4 from both sides
-3x=18
then divide both sides by 3
and then simplify
then u get x=-6
Homework Jim Thompson! Part 1
Problem 1
Answers:
Choice A) CylinderChoice C) Rectangular prismChoice D) Rectangular pyramidReason:
Refer the diagram below to see how rectangular cross sections are possible. The cross sections are marked in red.
For the rectangular prism, we could have a vertical or horizontal plane. For the cylinder, only a vertical cross section is possible. On the flip side, a rectangular pyramid can only have horizontal rectangular cross sections (which are similar to the base).
========================================================
Problem 2
Answer: Approximately 73,280.62908 square feet
Explanation:
Calculate the area of the trapezoid. Ignore the small triangle for now.
A = h*(b1+b2)/2
A = 354*(266+158)/2
A = 75,048
Now calculate the area of the triangle we ignored earlier
Before we do this, we'll need to use the pythagorean theorem to find the missing horizontal piece
a^2 + b^2 = c^2
b = sqrt(c^2 - a^2)
b = sqrt(97^2 - 40^2)
b = 88.368546 which is approximate.
Now we can find the area of the small triangle
Area = base*height/2 = 88.368546*40/2 = 1,767.37092
This is to be subtracted from the area of the trapezoid we found earlier.
75,048 - 1,767.37092 = 73,280.62908
Round the result however you need to.
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]
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
which expression is equivalent to 2(t+1)+(t+3)?
a. 2t + 5
b. 3t + 5
c. 3t + 3
d 4t + 8
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.
Graph the line with the equation y=5/4x-2
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
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]
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
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
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
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
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
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
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
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
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
Can anybody help me please with question 1 please and thank you .I would really appreciate it so much.
Answer:
Given
Step-by-step explanation:
At the beginning it says "Given: AB = CB" so they just gave you that information.
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
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)
100 BRAINLY POINTS!!!
A scatter plot shows a negative linear relationship between the time spent reviewing a writing assignment and
the number of spelling mistakes on it. The following statements describe possible relationships between the
variables.
I. As the review time decreases, the number of spelling mistakes increases.
II. As the review time increases, the number of spelling mistakes increases.
III. As the review time decreases, the number of spelling mistakes decreases.
IV. As the review time increases, the number of spelling mistakes decreases.
Which of these statements are correct?
A. Only IV
B. Only III
C. II And III
D. I And IV
EXPLAIN YOUR ANSWER
SHOW YOUR WORK
PLEASE CUH I NEED HELP
Negative slope
Means sample equation in slope intercept form is
y=-mxSo if you spot 2 mistakes on observing 1 min
then slope is 2
y=-2xPut one by one
(1,-2)(2,-4)Direct variation
Hence
Option 1 and 4 are correctAnswer:
D) I and IV
Step-by-step explanation:
The variable along the x-axis is the independent variable.
The variable along the y-axis is the dependent variable.
It would be fair to determine that the time spent reviewing a writing assignment is dependent upon the number of spelling mistakes, as the more mistakes an assignment has, the longer it should take to review, however we cannot say this for certain, therefore we cannot assign the dependent and independent variables.
If the scatter plot shows a negative linear relationship, then as the x-values increase, the y-values decrease.
Statements I and IV suggest a negative linear relationship only, depending on which variable is dependent and independent.
(FYI Statements II and III describe positive linear relationships)
Statement I
x-axis (independent variable) = number of spelling mistakes
y-axis (dependent variable) = review time
Statement IV
x-axis (independent variable) = review time
y-axis (dependent variable) = number of spelling mistakes
Therefore, as we cannot be sure which is the dependent variable and which is the independent variable, the solution is D.
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:
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]
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
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.
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.
Can anyone help me with this?
Answer:
is there an area tho
Step-by-step explanation:
Can you answer the question on the picture
Answer:
[tex]\huge\boxed{\sf 6x^2-x+16}[/tex]
Step-by-step explanation:
[tex]= (2x-3)(3x+4)\\\\Expand\\\\= 2x(3x+4)-3(3x+4)\\\\Distribute\\\\= 6x^2+8x-9x+16\\\\= 6x^2-x+16\\\\\rule[225]{225}{2}[/tex]
Answer:
6x²-x-12
Step-by-step explanation:
(2x-3)(3x+4)
2x(3x+4) -3(3x+4)
6x²+8x-9x-12
6x²-x-12
Which is a factor of x2 8x – 48? (x – 6) (x 4) (x – 16) (x 12)
Answer: D
Step-by-step explanation:
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 :)