Answer:
Here a rational number is in standard form if its denominator is positive in lowest term.
[tex]\frac{4}{-9} =\frac{-4}{9}[/tex]
Write the equation for a line Parallel to this one.
y = 3x + 2
a
y = 3x + 2
y = 3x + 7
ос
y = (1/3)x + 7
Od
y = -(1/3)x + 3
Answer:
actually, a and b are correct, as any line is also parallel to itself (a).
b is probably the truly wanted answer, as this line is on a chart visible as a second line and parallel to the first one.
Step-by-step explanation:
the factor of x is also the slope of the line.
for a line to be parallel to another, both need to have the same slope.
the constant number in the equation is the offset of the line from point (0,0) in y direction.
so, b is a parallel line 4 units above the first line.
What is the measure of m<3
Since a is parallel to b , taking CE as transversal
m< CED = m<3 = 58° (alternate interior angles)
Answer:
Step-by-step explanation:
Since line A is parallel to line B, then angle 1 and angle D are alternate interior and are congruent. That means that angle 1 is 60. Angle 2 can be found by subtracting 60 + 58 from 180:
180 - 60 - 58 = 62. Now to find angle 3, we just subtract angle 1 and angle 2 from 180:
180 - 60 - 62 = 58 (which works out perfectly because angle 3 and angle E are congruent as we just found out!)
HELP ASAP,, WILL GIVE BRAINLIEST
Answer:
a = 50°, b = 130°, c = 20°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 angles in the right triangle
a + 40° + 90° = 180°
a + 130° = 180° ( subtract 130° from both sides )
a = 50°
a and b are adjacent angles and sum to 180° , so
a + b = 180°
50° + b = 180° ( subtract 50° from both sides )
b = 130°
Then sum the angles in the top triangle, that is
30° + 130° + c = 180°
160° + c = 180° ( subtract 160° from both sides )
c = 20°
pls help me solve this pls show how you got the answer
Answer:
my answer is in this picture.
The table represents an exponential function.
What is the multiplicative rate of change of the
function?
Х
1
3
.
2.
4
9
16
9
Answer:
Step-by-step explanation:
An exponential function has a standard form
[tex]y=a(b)^x[/tex] where a is the initial value, b is the rate of growth or decay, and x and y are found in coordinates from the table. We need to solve for b, the rate of change (growth or decay). We will use the first 2 coordinates in the table, namely (1, 6) and (2, 4) to solve for b. We will use a system of equations...2 equations for 2 unknowns. The first equation is found by plugging in a 6 for y and a 1 for x to get:
[tex]6=a(b)^1[/tex] and, solved for a:
[tex]a=\frac{6}{b}[/tex].
In the second equation, we will plug in a 4 for y, a 2 for x and the value for a we just found:
[tex]4=\frac{6}{b}(b)^2[/tex] and, simplified a bit:
[tex]4=\frac{6b^2}{b}[/tex] which finally simplifies to
4 = 6b and
[tex]b=\frac{2}{3}[/tex]. That's the rate of change we are asked to find. We could continue to find the whole equation. Plug in 2/3 for b to solve for a:
[tex]a=\frac{6}{\frac{2}{3} }[/tex] and
[tex]a=\frac{6}{1}*\frac{3}{2}=\frac{18}{2}=9[/tex] and the exponential equation is
[tex]y=9(\frac{2}{3})^x[/tex] that means that we started with 9 of something and it is dying/decaying/depreciating at a rate of 33%
Which of the following expressions is equal to the value of x?
A. 12/(sin15)
B. (sin15)/12
C. 12(sin15)
Answer:
A
Step-by-step explanation:
[tex]sin15=\frac{12}{x} \\ x=\frac{12}{sin15}[/tex]
Select the graph of the solution. Click until the correct graph appears. pls help
x < 4
Answer:
The correct one is the one on the left.
(the arrow pointing to the left)
Can someone help me with this. Will Mark brainliest.
That would be central angels !
Please mark me, I'd like to get to virtuoso.
A bag contains 28 marbles. The theoretical probability of randomly drawing a
blue marble is 3/7. Find the number of blue marbles in the bag.
Answer:
12
Step-by-step explanation:
Probability = Expected outcome/Total outcome
GIven
Total outcome = 28marbles
probability of randomly drawing a blue marble = 3/7
Substitute
3/7 = number of blue marbles/28
Cross multiply
7N = 3* 28
N = 3*4
N= 12
Hence there 12 blue marbles in the bag
Emilio plays basketball. During his last 6 games he made 24 out of 60 free
throw shots. If Emilio will have 25 free throws shots in the next games,
about how many he expects to make?
24 out of 60 is 0.4 which is 40%, so to find out how many he would make in 25 throws you multiply 25 by 0.4 then you would get 10 out of 25.
Help please worth 20 points!!!
What shape is both a rhombus and rectangle?
A. square
B. kite
c. trapezoid
D. triangle
Answer:
A square
Step-by-step explanation:
Definition of a rhoumbus: Shape that 4 sides that are all equal
Definition of a rectangle: 4 Right Angles
Definition of a square: All sides and angles are equal.
So, the square has 4 right angles, and has 4 equal sides
A contractor needs to buy nails to build a house. The nails come in small boxes and large boxes. Each small box has 100 nails and each large box has 350 nails. The contractor bought a total of 9 boxes that have 2400 nails altogether. Write a system of equations that could be used to determine the number of small boxes purchased and the number of large boxes purchased. Define the variables that you use to write the system.
Answer:The system 150x+400y=1950 and x = y+2 could be used to determine the number of small boxes and large boxes ordered where x represents the number of small boxes and y represent the number of large boxes.
Step-by-step explanation:
Answer:
Let s = the number of small boxes purchased
Let l = the number of large boxes purchased
100s + 350l= 2400
s+l= 9
Which statements about the function are true? Choose three options.
g of 1 = negative 1
g of 0 = 0
g of 4 = negative 2
g of 1 = 1
g of negative 1 = 1
(-1, 1) on graph so g(-1 )= 1 True (4, 2) not on graph so g(4)= 2 Not true. Answer: g(0) =0 g(1) = 1 g(-1) = ...
g
Using the information given by the graph of the function, the true statements about the function include ;
g(-1) = 1 g(0) = 0g(1) = 1The function g(X) is used to obtain the corresponding value of y at a given x-value.
From the graph :
At x = 0 ; g(0) = 0 ; because the graph passes through the origin and the values of x and y are both 0.At x = 1 ; g(1) = 1 ; this can also be seen on the graph. Also, at x = - 1 ; y = 1. Hence, g(1) = - 1Therefore, no other (x, y) coordinate pair is similar on the graph of the function attached.
Learn more : https://brainly.com/question/20790351
Bill rented a truck for one day. There was a base fee of $16.95 , and there was an additional charge of 83 cents for each mile driven. Bill had to pay $248.52 when he returned the truck. For how many miles did he drive the truck?
Answer:
279 miles
Step-by-step explanation:
First, subtract the base fee from his total charge:
248.52 - 16.95
= 231.57
Divide this by 0.83 to find how many miles he drove:
231.57/0.83
= 279
So, he drove 279 miles
I will mark brainliest
Answer:
the first answer is correct answer
Derrick is a middle distance runner for his college indoor track team. One day his coach suggests a workout in which Derrick runs 3 repetitions of 7 2/3 laps at full speed with a two-minute rest between each repitition. How many laps does he run in this workout?
Answer:uttt
Step-by-step explanation:
ab - 0.5b when a = 1 and b = 5
Answer:
2.5
Step-by-step explanation:
a = 1
b = 5
ab
= 1 x 5
= 5
0.5b
= 0.5 x 5
= 2.5
ab - 0.5b
= 5 - 2.5
= 2.5
Answer:
2.5
Step-by-step explanation:
ab - 0.5b
a = 1 and b = 5
(1)(5) - 0.5(5)
Multiply (1)(5) = 5
5 - 0.5(5)
Multiply -0.5(5) = -2.5
5 - 2.5
Subtract 5 - 2.5 = 2.5
2.5
albert bought a bicycle for $27 500. he sold it for $35 5000 what was the amount of his profit
Answer:
$8000
Step-by-step explanation:
profit = selling price - Cost Price
P = 35000-27500
P= 8000
What's the area of these two shapes please explain!
Answer:
Figure 1 is 50 cm. Figure 2 is 225 mm.
Step-by-step explanation:
A group of 23 friends gets together to play a sport. First, people must be
divided into teams. Each team has to have exactly 4 players, and no one can
be on mpre than one team. How many teams can they make? (It is possible
that not everyone can be on a team.)
Answer:
5.75
Step-by-step explanation:
given soln23 friends 23/4
4 players each team 5.75
What are the solutions to the system of equations graphed below? Select all
that apply.
Answer:
A solution to a system of equations is the point(s) where they intersect. Find the ordered pairs where they intersect and you have your answers.
Step-by-step explanation:
which two ratios represent quantities that are proportional help i will mark as brainless
Answer:
A
Step-by-step explanation:
So, lets take all of our ratios, and simplfy them the best we can. Once we do this, we can easily compare and see which ratios are and are not similar.
So lets start with A:
21/28 and 12/16
Lets simplfy each fraction.
The greatest number that goes into the numeraotr and denominator(GCF) of 21/27 is 7. Taking out 7 we get:
3/4
We can do the same with the 12/16. 4 goes into both the numerator and denominator:
3/4
So this would work.
Lets look at the others, and see if any others work as well:
56/64 and 36/48
8 goes into both 56 and 64:
7/8
4 goes into 36 and 48:
9/12
These are clearly different.
Next we have 9/10 and 10/9
We can instantly see that one is bigger than 1, and the other is smaller than 1, so they must be different.
Finally we have 5/7 and 7/14
Again, these are clearly different.
If we give both the same denominator, which can be 14, we get:
10/14 and 7/14
We get 10/14 from 5/7 since we need to multiply both numerator and denominator by 2 so that the 7 becomes 14 in the denominator.
10/14 adn 7/14 are clearly different, so these dont work as well.
Only A, which is 21/28 and 12/16, will work.
Hope this helps!
The perimeter of a rectangle is 32 inches. The length is 1 foot. What is the width of the rectangle in inches? A. 4 inches B. 10 inches C. 15 inches D. 20 inches 12 / 15
Answer:
A. 4 inches
Step-by-step explanation:
Applying,
P = 2(L+W)............. Equation 1
Where P = Perimter of the rectangle, L = Length of the rectangle, W = width of the rectangle.
make W the subject of the equation
W = (P/2)-L............ Equation 2
From the question,
Given: P = 32 inches, L = 1 foot (Convert from Foot to inches), L = 12 inches
Substitute these values into equation 2
W = (32/2)-12
W = 16-12
W = 4 inches.
Hence the right option is A.
The school auditorium has 900 seats. The inequality, with x representing adults and y representing children, can be solved to find the possible combinations of adults and children attending an event. Which reason describes why the ordered pair (450, 450) must be included in the solution set of the inequality?
Answer:
Step-by-step explanation:
The ordered pair is located on the boundary line of the graph of the inequality, and because the sign is "less than or equal to", the values on the boundary line are also included in the solution set.
Looking at this logically, we also see that it certainly possible for half the seats to be occupied by adults and half by children.
I need help answering this question
Jeremy read that the population of his town increased by 10% in the 1980s,and then increased by another 10% in the 1990s.What is the population at the end of the 1990s?
Answer:1.21x
Step-by-step explanation:
Let the initial population was x
(1.1x)*1.1=1.21x
There are 4.5 litres of milk in a pot. The chef stirs in 2.5 g of salt and 1.2 litres of water. How much liquid is in the pot?
Answer:
5.7 litres
Step-by-step explanation:
The salt is not a liquid so you do not need to add it in.
4.5 litres + 1.2 litres = 5.7 litres
Find the missing side of each triangle
Please help
Answer:
B) [tex]\sqrt{115}[/tex]
Step-by-step explanation:
Pythagoras is [tex]a^{2} +b^{2} =c^{2} \\[/tex]
Where C is the longest side. You have a and c so
[tex]14^{2}-9^{2} =x^{2} \\196-81=x^{2} \\\sqrt{115} =x[/tex]
If the previous balance on your credit card account is $288.44, the periodic rate is 0.7%, you made a payment of $45, and you had new purchases of $120.33, then how much is the new balance this month?
Answer: $46,619
»» 288.44 / 0.7%
»› 41,205
»» 45 x 120.33
»» 5,414
A=41,205
A=5,414
A=46,619
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