1. Use substitution to create a one-variable linear equation: -3= 4x - 5.
2. Solve to determine the value of the unknown variable.
3. Write the solution to the system of equations as an ordered pair.
The solution to the system is (
-3).
Intro
3 of 15
Answer:
x = 1/2
Step-by-step explanation:
-3= 4x - 5 becomes 5 - 3 = 4x when 5 is added to both sides. Then:
2 = 4x, and x = 2/4, or x = 1/2.
The solution of the linear equation -3= 4x - 5 is x = 1/2.
What is linear equation?Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.
Given:
An equation: -3 = 4x - 5.
Simplifying,
by using substitution,
4x - 2 = 0
This is a one variable linear equation. Where x is a variable.
In order to solve the equation:
Simplifying,
4x = 2
x = 1/2
Therefore, the solution of the equation is 1/2.
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How many different size triangles can be drawn with angle measures 90°, 45°, and 45°?
A. No triangles
B. Exactly one triangle
C. Exactly two triangles
D. Any number of triangles
Answer:
Step-by-step explanation:
I believe is D because you actually change the measure of two angles as long as the sum of them are 90.
Which polygon is a base of the triangular prism?
Which polygon is a lateral face of the triangular prism?
D
G
с
Answer: A triangle is normally the base of a triangular prism. A rectangle is a lateral face of the prism.
Step-by-step explanation:
(D, G and c in the question are unclear.)
Answer:
polygon face - DFG ;; lateral face - DFBA
Step-by-step explanation:
got it right on edge
I Point
Which of the following shows the polynomial below written in descending order?
4x^3 + 3x^7 - 9x + x^12
The polynomial in descending order would be:
x^12 + 3x^7 + 4x^3-9x.
It all has to do with their degrees (exponents).
I don't know what the answer choices are because you didn't post them, but that is the answer.
I hope this helps.
Solve 1/4 + 3/5 - 3/10
Answer:
it will be equal to 11/20
Answer:
11/20
Step-by-step explanation:
= (5+12-6)/20
= 11/20
Each side of a triangle is a different length. One side is 6, one side is greater than 6, and one side is less than 6. The perimeter of the triangle could not be
a) 13
b) 18
c) 22
d)24
Answer:
i think the correct answer is c sorry if im wrong
Answer:
The perimeter of the triangle could not be 24 - which is our solution.
Step-by-step explanation:
The first approach to this problem that comes to my mind, is to find the most " restricting " triangles possible. By that I mean the largest length of the side greater than 6 and the side less than 6.
The length of the side greater than 6 has to be less than 12 - considering it has to stretch the sum 6 + 6 - by the Triangle Inequality Theorem. Therefore, the most restricting triangle possible to the 1st decimal place should be the following -
{ 6, 5.9, 11.8 } ... the catch here is that this triangle does not need to be composed of lengths being whole numbers. If that was true the most " restricting " triangle would have lengths { 6, 5, 10 } throwing you off track as it's perimeter is 21.
{ 6, 5.9, 11.8 } adds to a sum of 23.7, eliminating answer choice c. Therefore, we can conclude that the perimeter of the triangle can't be 24. In fact this is only to the first decimal place, you could be more specific and go to the 100th decimal place even. Either way, the perimeter of the triangle has to be less than 24.
In a right triangle, sin (40 – x)° = cos (3x).What is the value of x?
Answer:
Value of x = 25
Step-by-Step Explanation:
~ Knowing that, in a right triangle ~
sin(40-x)=cos(3x) ⇒
sin(40-x)=sin(90-3x) ⇒
40 - x = 90 - 3x ⇒
40 - x +3x=90 - 3x +3x =>
40+2x=90 =>
2x=50 =>
x = 25
Now it is proven to be that,
x = 25
If you have a cube with a side length of ¼, how many cubes can fit into your rectangular prism? Explain.
Answer:
Step-by-step explanation:
No of cubes that can fit into rectangular prism = Volume of rectangular prism
Volume of cube
Find the volume of rectangular prism and divide that by the volume of cube
f(x) = 2/x at x = -2
Answer:
f(x) = -1
Step-by-step explanation:
2/x when x = -2
2/-2 = -1
Answer:
f(x) = -1
Step-by-step explanation:
If you plug in -2 for x then it is 2/-2
What is P(Foreign Language | Sport)?
Answer:
23/33 x 10/33 = 21/100
Probability of A and B (independent events): p(A and B) = p(A) * p(B).
P(Foreign language | Sport) would mean P for probability
We use P in questions
and P in answer format.
We Know that F Union S F Union Sport = All in A + B and both = 47
The probability in both means you need to subtract the middle values as they are in both and repeated. It also becomes a special
Union. The union of two or more sets is the set that contains all the elements of each of the sets; an element is in the union if it belongs to at least one of the sets. The symbol for union is ∪ , and is associated with the word “or”, because A∪B A ∪ B is the set of all elements that are in A or B (or both.)
What is the value of the expression when n = 3?
-2n(5+n - 8 -3n)
Answer:
54
Step-by-step explanation:
Answer:54
Step-by-step explanation:
-2(3)(5+3 - 8 -3(3)=54
Hope I helped:D
in a survey of 80 people.it was found that 60 liked oranges only and 10 liked both oranges and apples.the number of people who liked oranges is five times the number of people who liked apples. by using venn-diagram, find the number of people who liked apples only and who didn't like any of these fruits
There are 4 people who only like apples, and 6 people who do not like any fruit.
Since in a survey of 80 people it was found that 60 liked oranges only and 10 liked both oranges and apples, and the number of people who liked oranges is five times the number of people who liked apples, to determine the number of people who liked apples only and the number of people who didn't like any of these fruits, the following calculations must be performed:
First, the number of people who like apples must be determined, knowing that it is 5 times less than the number of people who like oranges.
(60 + 10) / 5 = X 70/5 = X 14 = X
Thus, 14 people like apples, of which 10 of them also like oranges. So there are 4 people who only prefer apples, added to 60 people who prefer oranges and 10 who like both fruits. This gives a total of 74 people, which implies that 6 people do not like any fruit.
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Find the value of x and. Will mark brainliest.
Answer:
x=5
y=25
Step-by-step explanation:
You can start by finding the value of x. Since opposite angles in a parallelogram are equal, 11x=55 and x=5. Since adjacent angles are supplementary, 5y+55=180, 5y=125 and y=25. Hope this helps!
Which of the following is true about the bird population? Please!!!
Answer:
D
Step-by-step explanation:
if something is multiplied by 1.025 it is increasing by 2.5 percent
Answer:
D , 2.5%
Step-by-step explanation:
1.025 - x = 1; x = .025; as a percent = .025 * 100 = 2.5%.
Solve the inequality for X.
-3x - 3 <-63
es
A)
x > 20
B)
x > 22
9.
x < 20
D)
x < 22
------------------------------------------------
-3x - 3 <-63
Add 3 to both sides:
-3x-3+3 < -63+ 3
Simplify:
-3x < -60
Multiply both sides by -1:
(reverse the inequality)
(-3x)(-1) > (-60)(-1)
Simplify:
3x > 60
Divide both sides by 3:
3x/3 > 60/3
Simplify:'
x > 20
Your Answer Is x > 20
plz mark me as brainliest if this helped :)
PLEASE ANSWER THIS ILL GIVE BRAINLIEST AND IM GVING MY LAST POINTS I REALLY NEED THIS FAST AND please be right! PLEASE
Answer:
question 7: 280 and question 8: 86
Step-by-step explanation:
Answer:
1) 70
2) 82
Step-by-step explanation:
Question 3 Please help. What is the measure of JLK⌢?
Answer:
Answer is option
Options are related to find the angle of JLK
Step-by-step explanation:
[tex]we \: know \: that \: the \: angle \\ \: in \: a \: circle \:i s \: 360 \: degrees. \\ angle \: of \: JLK = 360 - (given \: angle) \\ \: \: \: \: = 360 - 154 \\ \: \: \: \: = 206 \: degrees[/tex]
Here the given angle is 154 degrees.
Hence the answer is option b) 206 degrees .
HAVE A NICE DAY !
THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.
Help me I will give brainliest!!!
Answer:
theoretical is first then experimental
Step-by-step explanation:
Answer:
Experimental , Theoretical
3~ Please help. What is m∠BED?
Enter your answer as a number, like this: 42
Answer:
34
Step-by-step explanation:
There is the same opposite arch for both angles so they should be equal.
Hope this is helpful!
Nathan is buying a camera that regularly
costs $400.00. It is on sale for 25% off. If
the tax rate is 10%, what is the final cost
of the GoPro?
Combine the Expression: (2a + 8) + (4a + 5)
Answer:
6a +13
Step-by-step explanation:
(2a + 8) + (4a + 5)
Combine like terms
2a+4a +8+5
6a +13
Answer:
6a + 13
Step-by-step explanation:
1. simplify
(2a + 8) + (4a + 5)
2. Reorder the terms
(8 + 2a) + (4a + 5)
3. Remove parentheses
8 + 2a + 4a + 5
4. Combine like terms
8 + 5 = 13
2a + 4a = 6a
So, 6a + 13 is your answer.
PLZZZ HELPPPPP
Which set of sides will NOT make a triangle?
11 cm, 13 cm, 3 cm
2cm, 3cm, 4cm
12 cm, 7 cm, 5 cm
19 cm, 14 cm, 7 cm
Step-by-step explanation:
let 3 sides be a b c
a-b<c<a+b (always)
we have 7+5 =12 (contradict the above property)
-> 12,7,5 will not make a triangle
At Ken's boutique, 33 customers wore a size small, and 51 customers wore a different size.
What is the probability that a randomly selected customer wore a size small?
Write your answer as a fraction or whole number.
Answer:
11/28
Step-by-step explanation:
1. Add up all of the customers to get the sample size.
33 + 51 = 84
2. Since we are finding the chance of it being a size small, 33 will be out numerator.
3. Create the final fraction, (33/84)
4. Simplify (11/28)
Hope this helps! Comment if you have any questions. :)
Answer:
11/28
Step-by-step explanation:
First, you add 33 and 51 to get a total of 84 customers. Then you put the number of selections you want (33) as the numerator to 84, to get 33/84. Finally you simplify and get the probability of selecting a customer at random. Answer= 11/28 is your probability
At the candy store the sell a 3 -pack of large chocolate bars for $6.45 and a 4 -pack of large chocolate bars for $8.20. Use Unit Rate to find out which pack is a single bar the cheapest.
Answer:
the cheapest is 8.20/4 bars
Step-by-step explanation:
we have to compare the price of one bar in both situations
1 bar= 6.45/3 compare with 1 bar=8.20/4
2.15 >2.05
the cheapest is 8.20/4 bars
can you plz help me i really appreciate it
Plz help!!
answer for c using Pythagorean Theorem
Answer:
c=13
Step-by-step explanation:
a^2 +b^2= c^2
12^2+ 5^2= 144+25=
169= c^2
c=13
The partially filled contingency table gives the frequencies of the data on age (in years) and sex from the residents of a
retirement home.
60-69. 70-79. Over 79. Total
Male: 12. 5. 1
Female: 8. 10. 4
Total
What is the relative frequency for females in the age group 60-69?
a. 3/20
b. 1/5
c. 9/40
d. 2/5
Answer:
b) 8/40 = 1/5
The probability of the relative frequency for females in the age group 60-69 is 0.625.
We know that the probability of a function is the ratio of favorable cases to the total number of cases possible.
here we have to find the probability that a resident is female.
What is the formula for probability?[tex]Probability=\frac{Total \ numbers \ of \females}{Total \ number \of people}[/tex]
here the total number of females are=19+2+4
=25
and the total number of males=1+9+5
=15
Hence, the total number of people=25+15=40
So Probability=25/40
=0.625
Hence option D is correct.
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Matt has $900 in a checking account, has $15,000 in investments, owns an
$8000 car, and owns a $30,000 house. What is the total value of his large
assets?
A. 53,900
B.23,000
C. 15,900
D. 38,000
The total value of his large assets is $53,900.
What are Assets?Assets are defined as the possessions that a person or the company holds which has a value which affects positively for the person or the company.
Given that,
Amount in a checking account = $900
Amount as investments = $15,000
Amount for the car = $8000
Amount for the house = $30,000
Total value for the assets = $900 + $15,000 + $8000 + $30,000
= $53,900
Hence the total value of the asset is $53,900.
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Find the value of the variable. If the answer is not a whole number, round to the nearest tenth.
The image is of a circle with two secant segments which intersect outside the circle. Inside and outside length of first one are marked as x and 5 respectively. Inside and outside length of second one are marked as 10 and 4 respectively.
A. 9
B. 8
C. 6.2
D. 22.5
Answer:
C
Step-by-step explanation:
Two secants drawn to a circle from a common external point, then
The product of the external part and the entire part of one secant is equal to the product of the external part and the entire part of the other secant, that is
5(5 + x) = 4(4 + 10) = 4 × 14 = 56
25 + 5x = 56 ( subtract 25 from both sides )
5x = 31 ( divide both sides by 5 )
x = 6.2 → C
Please I need your help on this.
Answer:
the answer is 7 7/8
Step-by-step explanation:
1. you will need to change the fractions into an improper fraction.
2. you need to then multiply the numerator and denominator to get a 63/8
3. change 63/8 into a mixed fraction leaving you with 7 7/8