Answer:
7
Step-by-step explanation:
12b -b = 11b
11b = 77
Divide both sides by 11
b = 7
What is the slope of a line that is perpendicular to the line with equation 12x+3y=9?
Answer:
Step-by-step explanation
4x-3=y
perpendicular means
-1/4x-3=y
You roll a number cube twice. Find the probability of the events. Rolling an odd number 2 or a 4.
Answer: see below
Step-by-step explanation:
If this is a 6 sided die then the only possible roll that isnt an odd, a 2, or a 4 is 6.
The probability of something happening is also the probability of something not happening. So in order to not roll an odd, a 2 or a 4 in two rolls, you have to roll a 6 twice.
P = 1 - (1/6)(1/6) = 1 - (1/36) = (35/36)
area of a circle, diameter = 16.8cm
Answer:
Step-by-step explanation:
Area of circle=Pi times radius^2
Diameter is half of radius=8.4
Pi*8.4^2=221.670777637
Hope this helps!
Answer:
221.56 cm^2 or 70.56pi
Step-by-step explanation:
Area of a circle = pi*radius^2
Radius = diameter/2, radius = 8.4
3.14(8.4)^2 = 221.56 cm squared, or 70.56pi
Explain why drawing both diagonals on any rectangle will always result in two pairs of nonoverlapping congruent triangles.
Answer:
It is because not all sides of a rectangle are equal in length; unlike a square.
Step-by-step explanation:
Let's start by drawing the first diagonal.
You know already how a rectangle looks. It has 4 sides and 2 sets of parallel sides. Each pair of parallel sides has the same length.
A diagonal is a line crossing from one edge of a four-sided shape to the opposite edge; such that it divides the shape into two equal halves.
Now place your rectangle horizontally. Let the two longer sides be on the horizon while the two shorter sides go vertical.
We draw the first diagonal from the edge on the top right to the opposite edge (down left). This will divide the shape into two equal halves and each half will be a triangle; a congruent one at that.
When you fold this rectangle along its diagonal, the two triangles will not overlap! The resulting shape will be like two triangular mountains lying side by side. You can use a paper (cut in the shape of a rectangle) for this experiment.
Why does this happen, instead of the two triangles covering each other (overlapping)?
This happens because a rectangle doesn't have 4 equal sides. Check out a square and you'll see that both triangles will overlap after a diagonal is drawn across the square.
Draw the second diagonal of the rectangle (from up-left to down-right) and the same thing is observed.
Given the exponential equation 3* = 243, what is the logarithmic form of the equation in base 10? (5 points)
log, 243
log, 3
log, 3
log, 243
log,03
log, 243
log, 243
Answer:
[tex]x = \frac{log\ 243}{log\ 3}[/tex]
Step-by-step explanation:
Given
[tex]3^x = 243[/tex]
Required
Express as a logarithm
[tex]3^x = 243[/tex]
Take log of both sides
[tex]log\ 3^x = log\ 243[/tex]
Apply the following law of logarithm
[tex]log\ a^b = b\ log\ a[/tex]
So, the expression becomes:
[tex]log\ 3^x = log\ 243[/tex]
[tex]x\ log\ 3 = log\ 243[/tex]
Divide both sides by log 3
[tex]\frac{x\ log\ 3}{log\ 3} = \frac{log\ 243}{log\ 3}[/tex]
[tex]x = \frac{log\ 243}{log\ 3}[/tex]
Hence, the expression in base 10 is:
[tex]x = \frac{log\ 243}{log\ 3}[/tex] or [tex]x = \frac{log_{10}\ 243}{log_{10}\ 3}[/tex]
A 41-inch piece of steel is cut into three pieces so that the second piece is twice as long as the first piece, and the third piece is one inch more than five times the length of the first piece. Find the lengths of the pieces.
Answer:
Length of first piece = 5 inches
Length of second piece = 10 inches
Length of third piece = 26 inches
Step-by-step explanation:
Given that:
Length of piece of steel = 41 inch
Let,
x be the length of first piece
y be the length of second piece
z be the length of third piece
According to given statement;
x+y+z = 41 Eqn 1
y = 2x Eqn 2
z = 5x+1 Eqn 3
Putting value of y and z from Eqn 2 and 3 in Eqn 1
[tex]x+2x+5x+1=41\\8x = 41-1 \\8x = 40[/tex]
Dividing both sides by 8
[tex]\frac{8x}{8}=\frac{40}{8}\\x=5[/tex]
Putting x=5 in Eqn 2 and 3
y = 2(5) = 10
z = 5(5) + 1 = 25+1 = 26
Hence,
Length of first piece = 5 inches
Length of second piece = 10 inches
Length of third piece = 26 inches
what is the equation, in point-slope form, that is perpendicular to the given line and passes through the point (-4,-3)?
Answer:
C. y + 3 = ¼(x + 4)
Step-by-step explanation:
✔️First, find the slope of the given line on the graph that it is perpendicular to:
Slope (m) = ∆y/∆x = -4/1 = -4
Thus, the slope of the line that is perpendicular to the given line would be the negative reciprocal of -4.
The negative reciprocal of -4 = ¼
✔️Find the equation in point-slope form, y - b = m(x - a) using slope and a point on the line:
Substitute m = ¼, (a, b) = (-4, -3) into y - b = m(x - a):
y - (-3) = ¼(x - (-4))
y + 3 = ¼(x + 4)
Seven values on the number line above are marked with letters. Match the opposites.
A) U and Z; W and X; V and Y
B) U and V; W and X; Y and Z
C) U and G; W and Y; V and X
D) U and Z; W and Y; V and X
Answer:
a
Step-by-step explanation:
hope this helps yout just have to put the negative letters with the positive!!!
Barry's pet turtle, Turtlelini, escaped from his backyard. Barry found Turtlelini by the creek and wanted to determine
how far Turtlelini had walked. On the map, Barry's house is 0.6 inch from the creek. If the scale on the map shows that
1.5 inches are equivalent to 0.8 mile, how far did Turtlelini walk, to the nearest tenth of a mile?
O 0.3 mile
0 0.5 mile
1.1 miles
O 1.3 miles
Answer:
A=0.3
Step-by-step explanation:
0.3
0.5
1.1
1.3
thats the correct answer
Answer:
A
Step-by-step explanation:
g(x) = 4x+5; find g(5)
Hello!
[tex]\large\boxed{g(5) = 25}[/tex]
If g(x) = 4x + 5, find g(5) by substituting 5 for x:
g(5) = 4(5) + 5
Simplify:
g(5) = 20 + 5
g(5) = 25
HƏĻP MƏ
Evaluate the expression when f= 125, 3/5(F - 20)
Answer:
63
Step-by-step explanation:
plug 125 in for 'f'
3/5(125-20) = 3/5 · 105 = 315/5 = 63
Maria invests $600 in bank account that earns simple interest. She earns $30 at the end of 12 months. Janae invests $350 at the same rate of interest for 12 months. How much money will Janae earn on her $350 investment after. 12 months?
A. 5.00
B. 12.50
C.17.50
D.47.50
Is it linear or exponential
What is the total area of the figure below?
A. The slope of the line will change from positive to negative
B. The slope of the line will change from negative to positive
C. The y-intercept of the line will change from positive to negative
D. The y-intercept of the line will change from negative to positive
Answer:
The slope of the line will change from negative to positive
Step-by-step explanation:
the equation is in the form of y=mx+c and m is negative. By multiplying m with another negative number it turns positive, thus slope changes from negative to positive
Cheryl has some oranges. She put the oranges in p boxes of three oranges each and has two oranges left. Express the total number of oranges Cheryl has in terms of p.
Answer:
so she had x oranges
she put the oranges into p boxes with 3 in each box and had 2 left so
total=3 times p+2 or
total=3p+2
Purchasing a TV that is 20% off will save $180.
a. Name the different parts with the words: PART, WHOLE, PERCENT.
20% off
S180
Original Price
b.
What was the original price of the TV? Show two methods for finding your answer.quick
______________________________
O = D × P ÷ 100= 20% × $180 ÷ 100= $36= $180 + $36= $216______________________________
The revenue, in dollars. of a company that produces video game systems can be modeled by the expression 52 +
2t - 80. The cost in dollars, of producing the video game systems can be modeled by 5.22 -+ 100, where x is the
number of video game systems sold. If profit is the difference between the revenue and the cost, what expression
represents the profit?
Profit can be modeled by the polynomial expression
If 1,000 video game systems are sold, the company's profit is $
Answer:
1). Profit = 3x - 180
2) Profit of selling 1000 video games = $2820
Step-by-step explanation:
Expression for the revenue = 5x² + 2x - 80
Expression for the production cost of the video games = 5x² - x + 100
Since, profit is the difference between the revenue and the cost,
Expression for the profit will be,
Profit = Revenue - Cost
= (5x² + 2x - 80) - (5x² - x + 100)
= 5x² + 2x - 80 - 5x² + x - 100
= 3x - 180
Here, x = Number of video games sold
If number of video games sold = 1000
Profit = (3×1000) - 180
= 3000 - 180
= $2820
⚠️ANSWER NEEDED SUPER FAST ⚠️ BRAINLIEST TO RIGHT AND QUICK ANSWER
Answer:
15%
Step-by-step explanation:
Solve for x x/6=9
X=15
X=3
X=1.5
X=54
Me and god say you have to help me on this
Answer:
1. SUN
2. EVAPORATION
3. CONDENSATION
4. EVAPORATION
5. PRECIPITATION
6. CRYSTALLIZATION
Rationalize the dominator 1/1+√3 -√5
Answer:
I have made it in above pic hope it helps
Step-by-step explanation:
there is no need to rationalize simply add √3-√5=1-√2
A printer prints 24 pages in 3 minutes which unit rate is correct
Answer:
8 pages per minute
Step-step explanation:
24 / 3
There are 20 pens in a box. Eighteen (18) of the pens are black. The other 2 pens are red. What percentage of the pens are black?
Answer: 90%
Step-by-step explanation: All u gotta do is 18/20. You get .9 and u just add a 0 at the end
What is the slope of the line that passes through the points (3, 5) and (-1, 5)
Answer:
0
Step-by-step explanation:
solve with y2-y1 / x2-x1
5-5 is 0
-1-3 is -4
0/4 is 0
slope is 0
Write an explicit formula for An, the nth term of the sequence 3,9, 27, ...
Step-by-step explanation:
Apparently the common ratio is
3
Explanation:
The 2nd term is 3
the 3rd=9=3²
the 4th= 27=3³
To get to the n
th term we will have to multiply n−1
times by 3
Or: tn=3n−1
Crop yield is the ratio of the number of bushels harvested to the number of acres used for the harvest. This year, the harvest at a farm was 94,010 bushels of grain, resulting in a crop yield of 170 bushels per acre.
To the nearest whole acre, how many acres were harvested?
453 acres
489 acres
509 acres
553 acres
Answer:
553 acres
Step-by-step explanation:
94010 ÷ 170 =553
Answer:
D
Step-by-step explanation:
Three is 7 more than one-fifth of a number.
Answer:
3=1/5x+7
Step-by-step explanation:
when it says "Of a number" it means to add a variable, so i added a x. and when it says "more than" it means to add, so 3=1/5x+7 is the answer
Write the equation of the line graphed below.
Answer:
a
Step-by-step explanation:
Jayden uses the net below to design a box.
How much cardboard will Jayden need to make the box?
A-60
B-96
C-128
D-144
