Answers
Answer:
g= -2
Step-by-step explanation:
Answer:
- 2
Step-by-step explanation:
1. open the parentheses: 3(5-g)= 15-3g= 21
2. move variables and constants of different sides (signs change when a variable or constant moves to the other side of equal sign.)
15- 3g= 21 = -3g= 21- 15
-3g= 6
3. get g alone on 1 side: divide -3g by -3 so that the -3 cancel, then also divide 6 by 13 so that the equation will stay balanced.
Hence, g= -2
Hope this helps!
let me know if t does and if the answer is right.
Related Questions
For f(x), evaluate the following: a. f(0), b. f(6) and show all of your work. // I've attached the function below.
Answers
Answer:
a. f(0) = 4
b. f(6) = 8
Step-by-step explanation:
This is a piecewise function, so the actual equation is on the left, and the inequalities are on the right.
If x = 0, this would fall under the first part of the function because x < 5 is the requirement for the first part. Then, evaluating it: f(0) = 0 + 4 = 4.
If x = 6, this would fall under the second part of the function because 5 [tex]\leq[/tex] x < 7 is the requirement. 6 falls under this category, so that means the second part of the function is used. Because it is a constant, 8, this evaluates to f(6) = 8.
Given: y || z
Prove: mZ5+ m2 2 + m26 = 180°
Angles Lines Statements Reasons
21
23
25
26
m21
m23
m25
m26
L
A
M
1
2
3
y
Statements
Reasons
4
5
6
7
z
Assemble the proof by dragging tiles to
the Statements and Reasons columns
Intro
D
Answers
Using the above statements and reasons can be used to prove the triangle sum theorem, which is: ∠5 + ∠2 + ∠6 = 180°
What is the Triangle Sum Theorem?The triangle sum theorem states that, when we add the all three interior angles of a triangle together, it will give us a sum of 180°.
Given that y || z:
∠1 ≅ ∠5 and ∠3 ≅ ∠6 based on the interior angles theorem. This implies that:
∠1 = ∠5 and ∠3 = ∠6 (Eqn. 1)
m∠LAM = 180° (def. of straight line angle)
Thus, using the angles addition theorem, we have:
∠1 + ∠2 + ∠3 = m∠LAM
∠1 + ∠2 + ∠3 = 180° (eqn. 2).
Using eqn. 1 and eqn. 2, substitute ∠1 = ∠5 and ∠3 = ∠6 into eqn. 2.
∠5 + ∠2 + ∠6 = 180° (substitution).
Therefore, using the above statements and reasons can be used to prove the triangle sum theorem, which is: ∠5 + ∠2 + ∠6 = 180°
Learn more about triangle sum theorem on:
https://brainly.com/question/7696843
The proof for the triangle sum theorem, which is: ∠5 + ∠2 + ∠6 = 180°
What is Angle Sum Property?According to the triangle sum theorem, if we total up a triangle's three internal angles, we receive a value of 180°.
We have, y || z.
So, ∠1 ≅ ∠5 and ∠3 ≅ ∠6 (Alternate Interior Angle)
Using Linear Pair
∠1 + ∠2 + ∠3 = m ∠LAM
∠1 + ∠2 + ∠3 = 180°
Now, substitute ∠1 = ∠5 and ∠3 = ∠6 in above equation
∠5 + ∠2 + ∠6 = 180° .
Thus, using the above statements can be used to prove the triangle sum theorem, which is: ∠5 + ∠2 + ∠6 = 180°
Learn more about Angle Sum Property here:
brainly.com/question/7696843
#SPJ5
are c and d the correct answer for this question?
Answers
Answer:
A E
Step-by-step explanation:
A => 10/4 = 5/2
B => 4/2 = 2
C => 2/5
D => here y is less than x
E => 10/4 = 5/2
Help me on this pls and thank you
Answers
Answer:
5x - 15 + 2x + 90 = 180
180 since it's a flat line, and all the angles should add up to 180 which is angle AOB, 90 degrees is already given in the middle.
Simplify all the terms (The algebra portion)
7x - 15 + 90 = 180
7x + 90 = 195
7x = 105
x = 105/7
x = 15
now substitute in x for all these angles
2(15) = 30 degrees is the angle GOB
5(15) - 15 = 60 degrees is the angle AOF
60 + 90 + 30 = 180 degrees.
and x = 15
help plss c:
a family wishes to determine the distance from their home to the nearest park. on a coordinate grid, the house sits at (0,0), and the park at (16,11)
using 1 unit = 10 yards, which vector represents the path from the house to the park, and what is the actual distance between them?
Answers
Answer:
components: {16,11}, distance: 194.16 yards
Step-by-step explanation:
to find the length of a point to another point that has different y and x points you use the pythagorean theorem (a^2 + b^2 = c^2)
16 and 11 are the distances from her house
16^2 + 11^2 = c^2
c^2 = 377
c = 19.416...
but we dont stop here
we have to convert this to yards by multiplying it by ten
19.416 * 10 = 194.16 yards
Answer:
B
Step-by-step explanation:
Just did the test
Human bones make up 18% of our body mass. Jason's mass is 59.2 kg. What is the mass of his bones?
Answers
Answer:
Bone Mass, Density and Bone Weight
"Bone weight is about 15 percent of your body weight, but determining bone weight is complicated and it does not give us useful information. It is much more important to know about bone density, which is the best way to measure bone mass and bone health," says Dr. Ford.
Step-by-step explanation:
Hope its helps you
Answer:
10.656Step-by-step explanation:
18%*59.2=10.656
what is the ratio of $1 to 60 cents?
Answers
Answer:
100:60
Step-by-step explanation:
$1 is equal to 100 cents
So we can compare it as 100:60
Hope this helps!
Answer:
5:3.
Step-by-step explanation:
That would be 1:0.60
= 100:60
= 5:3.
The denominator of a fraction is four more than the numerator. If both numerator and denominator are decreased by one, the simplified result is 57. Find the original fraction. (Do NOT simplify.)
Answers
Find the equation of the horizontal line passing through the point (-1,0)
Answers
Answer:
y = 0
Step-by-step explanation:
When a question says find the horizontal line through certain points all you need to do is take the 2nd point which is 0 and make y equal to that. Doing that covers all x possibilities which means -1 is included and since you made y = 0 it passes through 0 as well.
You have a rectangular piece of fabric with side lengths of 7 inches and 4 inches. What is the area of the biggest possible square you can cut from this fabric?
Answers
Answer:
If you were to cut it in half (3.5 x 2)
The answer would be 7
Step-by-step explanation:
Solve for v. v − 2.4 = 4.4 v = what?
Answers
Answer:
v = 6.8
Step-by-step explanation:
v - 2.4 = 4.4v = 4.4 + 2.4v = 6.8There are only 9 counters in a bag. There are 2 red counters 3 green counters 4 blue counters Lethna takes at random a counter from the bag. (a) Write down the probability that she takes
(i) a blue counter,
A white counter
Answers
White counter -0
. A large tank is partially filled with a solution. The tank has a faucet that allows solution to enter the tank at a rate of 3 16 4liters per minute. The tank also has a drain that allows the solution to leave the tank at a rate of 4 19 5liters per minute. (a) What expression represents the change in volume of solution in the tank in 1 minute? (b) What is the change in volume of the solution after 15 seconds? Show necessary work. (c) What does the change in volume after 15 seconds mean in the real world? Answer in complete sentences. please be helpful no links that there not helpful ok :)
Answers
Answer:
345645
Step-by-step explanation:
60 x 45
Find the measure of angle b.
51
39
129
141
Answers
Answer:
b = 39
Step-by-step explanation:
To complete the full circle would need 360°
So, the equation is:
b + 28 + 293 = 360
b + 321 = 360
b = 360 - 321
b = 39
[tex]-------------------[/tex]
12+2=
Answers
Please help! I don't understand A-E its urgent :(
No links!!!! (picture included)
A. Name an alternate interior angle to angle 3
B. Name a corresponding angle to angle 8
C. Name a vertical angle to angle 2
D. Name a same side-interior angle to angle 5
E. Name an alternate exterior angle to angle 7
Answers
Step-by-step explanation:
A. 6 ---- Alternate interior angles are on opposite sides of the transversal while still between the other 2 lines
B. 4 ---- Corresponding angles are angles in matching corners when the transversal crosses over 2 other lines
C. 3 ---- Vertical angles are on opposite sides when 2 lines intersect
D. 6 ---- Side interior angles are the opposite of alternate interior angles, they are both on the same side
E. 2 ---- Alternate exterior angles are very similar to alternate interior angles, only that they are on the outside rather than on the inside of the 2 lines
June has 30 days. A family of 3 used 3,960 gallons of water during the month of June. How many gallons of water did each person use each day.
Answers
Answer:
44 gallons
Step-by-step explanation:
3960/3=1320
Each person used 1320 in one month
1320/30=44
Amount of person used / 30 days = gallons used each day
Pls help and explain, will give brainliest!
-5+3 + (-1/6)+ 5/6 in fractions form
Answers
Answer:
Step-by-step explanation:
-5+3 + (-1/6)+ 5/6
-2 - 1/6 + 5/6
-2 + 4/6 (do this boring math)
Answer:
[tex]-1\frac{1}{3}[/tex] aka [tex]\frac{-4}{3}[/tex]
Step-by-step explanation:
-5+3+(-1/6)+ 5/6
Ok soo -5+3 is -2 So then
-2-[tex]\frac{1}{6}[/tex]+[tex]\frac{5}{6}[/tex]
-2+(-[tex]\frac{1}{6}[/tex]+[tex]\frac{5}{6}[/tex])
-[tex]\frac{1}{6}[/tex]+[tex]\frac{5}{6}[/tex]=[tex]\frac{4}{6}[/tex] or [tex]\frac{2}{3}[/tex]
-2+[tex]\frac{2}{3}[/tex]=-1[tex]\frac{1}{3}[/tex]
a
Lucy has a coin collection. She keeps 3 of the coins in her box, which is 25% of the
collection. How many total coins are in her collection?
Multiply/scale up to solve.
coins
3
25
100
percent
Answers
Answer:
3x4=12
12 coins in her collection
Step-by-step explanation:
25x4=100%
Please help! I really need to get the answer correct
Answers
Answer:
x + 9y²
Step-by-step explanation:
A prime polynomial is simply an irreducible polynomial.
x + 9y² is a prime polynomial
First, we test the options.
x + 9y²
The above function cannot be reduced further.
Hence, x + 9y² is a prime polynomial
3m + 9n
Factor out 3
3 (m + 3n)
3m + 9n is not a prime because it can be factored as 3 (m + 3n)
8x^7 - 9x + 12x²
Factor out x
x(8x^6 - 9 + 12x)
8x^7 - 9x + 12x² is not a prime because it can be factored as x(8x^6 - 9 + 12x)
Hence, x + 9y² is a prime polynomial
factorise
3a^2+8a+4
someone help
Answers
Answer:
(3a+2) (a+2)
Step-by-step explanation:
3a²+8a+4
ur sum is 8
ur product is 12
6x2 = 12
6+2=8
3a²+6a+2a+4
3a(a+2)+2(a+2)
(3a+2) (a+2)
+ is determined by the + in the problem
Next think of a number that will multiply to get 4 and add to get 8 (this is multiplied by 3)
The answer is:
(3a + 2) (a + 2)
To check the work expand it to find you get the original function again
What is the area of the following triangle in square meters? Do not round your answer. A =
WITH THE RIGHT ANSWER WILL RECEIVE BRAINLIEST
Answers
Answer:
0.324 m²
Step-by-step explanation:
To calculate the area of a triangle, multiply the height by the width (this is also known as the 'base') then divide by 2
54 cm is the base, dashed is the height which is 1.2 m, we convert 54 cm into meters (54 cm = 0.54 m)
and we apply the formula
1.2 * 0.54 : 2 =
0.324 m²
Answer:
32.4? or 0.324 m²
Step-by-step explanation:
Which of the following is the midsegment of triangle ABC ?
Α. AL
B. LM
C. LB
D. MC
Answers
Answer:
LM
Step-by-step explanation:
the answer is abffj uynjy uymn mhk um
Answers
Calculator
15
What is the value of x?
9
3x
B
Enter your answer in the box
2x-1
X =
Answers
Answer:
the answer is -2
Step-by-step explanation:
-2........
Ged can fit six boxes each measuring 1
cubic metre (m') along the length of his
removals van. Two boxes fit across the
width and two boxes high. The
approximate total volume of boxes that will
fit in the van is
m3
Answers
Answer:
24 m3.
Step-by-step explanation:
6 * 2 * 2.
Mr and Mrs Smith buy tickets for themselves and 4 children
The cost of an adult ticket is £6 more than the child ticket
The total cost of the 6 tickets are £40.50
What is the cost of an adult ticket?
Answers
Answer=
$10.75 is the cost of an adult ticket
Answer:
£10.75
Step-by-step explanation:
6 tickets=£40.50
cost of adult=£6 more than a child's
let's form an equation!
x is the cost of children tickets and since we have 4 of them it leaves us with 4x. And an adult ticket is £6 more than a child's, so that leaves us with 6+x. And since we have 2 of them we get 2(6+x). So with this info, we can make an equation and solve it to find x:
2(6+x)+4x=40.50
12+2x+4x=40.50
12+6x=40.50
6x=28.50
x=4.75=the cost of a child ticket
adult ticket =£10.75
miggy ask to solved the given quadratic equation x²+8x-20=0 using the quadratic formula,Help miggy to determine the following
roots of the quadratic 3
discriminant
nature of roots
sum of the roots
product of the roots
Answers
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
roots of the quadratic equation ~
[tex]2 \: \: \: \:a nd \: \: - 10[/tex]discriminant ~
[tex]144[/tex]nature of roots ~
[tex]real[/tex]sum of the roots ~
[tex] - 8[/tex]product of the roots ~
[tex] - 20[/tex][tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
Let's solve he given quadratic equation using quadratic formula ~
Let's consider the following values ~
b (Coefficient of x) = 8 a (Coefficient of x²) = 1 c (Constant term) = -20According to quadratic formula, the roots are ~
[tex] \dfrac{ - b \pm \sqrt{b {}^{2} - 4ac } }{2a} [/tex]where, ( b² - 4ac ) is known as it's discriminant ~
that is equal to ~
[tex](8) {}^{2} - (4 \times 1 \times - 20)[/tex][tex]64 - ( - 80)[/tex][tex]64 + 80[/tex][tex]144[/tex]Hence, Discriminant = 144
And since discriminant is positive, then the roots of the quadratic polynomial are real .
Let's find the roots now ~
[tex] \dfrac{ - b \pm \sqrt{b {}^{2} - 4ac} }{2a} [/tex][tex] \dfrac{ - 8 \pm \sqrt{144} }{2 \times 1}[/tex][tex] \dfrac{ - 8 \pm12}{2} [/tex][tex] \dfrac{ 2( - 4 \pm6)}{2} [/tex][tex] - 4 \pm6[/tex]So, the two roots are ~
[tex] - 4 + 6[/tex][tex]2[/tex]and
[tex] - 4 - 6[/tex][tex] - 10[/tex]Sum of roots ~
[tex] - 10 + 2[/tex][tex] -8[/tex]product of roots ~
[tex] - 10 \times 2[/tex][tex] - 20[/tex]sandra babysat for the millers for 4.5 hours. the millers gave her 40$. write and solve an equation to calculate how much sandra earned per hour. round to the nearest hundrefth.
Answers
X=8.8
Or if ur aloud to round 9$ an hour
whats x
-5x + 2 = 67
Answers
subtract 2 from 2 and 67 leaves you with
-5x=65
divided both sides by -5
x = -13
Answer:
x=-13
Step-by-step explanation:
Subtract 22 from both sides.
-5x=67-2
Simplify 67-2 to 65.
-5x=65
3 Divide both sides by -5.
[tex]x=-\frac{65}{5}[/tex]
Simplify [tex]\frac{65}{5}[/tex] to 13.
x=−13