Answer:
g = 5
Step-by-step explanation:
Expand brackets.
4g - 2 = 3g + 3
Add -3g and 2 on both sides.
4g - 3g = 3 + 2
Combine like terms.
1g = 5
Find the side length of the rhombus pictured below.
3x -8
x + 10
Hey there! :)
Answer:
19 units.
Step-by-step explanation:
The sides of a Rhombus are all congruent. Therefore:
x + 10 = 3x - 8
Subtract both sides by x:
10 = 2x - 8
Add 8 to both sides:
18 = 2x
Divide both sides by 2:
18/2 = 2x/2
x = 9.
Find the side length by plugging x into an equation:
(9) + 10 = 19 units.
At the arena, front section tickets are $12.50 more expensive than back section tickets. If 600 front section and 450 back section tickets to a worship music concert were sold for a total revenue of $31,125, how much does each type of ticket cost?
Answer:
Back Section Tickets: $22.50
Front Section Tickets: $35
Step-by-step explanation:
600(12.50+x) + 450(x) = 31125
7500+600x + 450x = 31125
1050x = 23625
x = 22.50 = back section tickets
x+12.50 = 35 = front section tickets
construct a tangent to the circle that passes through point b
Answer:
hope this is it
Step-by-step explanation:
i finished the assignment.
Answer:
Step-by-step explanation:
2) The marked price of a laptop is Sh.47500. Mimo bought the laptop after the shopkeeper allowed her a
discount of 5°. If the shopkeeper made a profit of 25%, calculate the price at which the shopkeeper
bought the laptop from the manufacturer.
(3 marks)
A 1600 Watts electric oven is used for 9 hours. Calculate the cost of using the $3.00 per unit of energy (Energy consumed = power× time)
Answer:
The cost is $43.2
Step-by-step explanation:
The first thing to do here is to calculate the amount of energy consumed.
From the question, we are told that this is;
Power * Time
From the question, power = 1600 watts
Time = 9 hours
So amount of energy consumed = 1600 watts * 9 hours = 14,400 watts hour
It should be known that energy is measured in Kilowatts hour ; So therefore 14,440 watts hour is 14,440/1000 kwh = 14.4 kwh
Now, the cost per unit of energy is $3.00 per kwh
So the cost of using 14,400 watts hour would be 14.4 * 3 = $43.2
What is the "k" value of the following function? Is it 3, -2, -3, or 2?
Answer:
-3
Step-by-step explanation:
we khow that the vertex form of a function is written this way :
f(x)=a(x-h)²+k
the coordinates of the vertex are (h,k) so from the graph we can deduce that k = -3
Can someone please help me I really need help please help me thank you
Answer: x=14
Step-by-step explanation: The total is 180 degrees. The right angle is 90, the given angle is 76, so x is 14.
TIME REMAININ
y = -6x+2
-12x - 2y = -4
How many solutions does this linear system have?
Answer:
Infinitely many solutions.
Step-by-step explanation:
y = -6x + 2
Add 6x to both sides
6x + y = 2
-12x - 2y = -4
Divide each term by -2
6x + y = 2
Since both equations are actually exactly the same, this linear system will have infinitely many solutions.
Hope this helps!
A 15 foot pole extends & feet below ground and 10 feet above ground. Choose the
linear equation that models the situation.
Answer:
There is no specific linear equation for this scenario because there is only one possible length for the pole.
Step-by-step explanation:
A football coach is trying to decide: When a team is ahead late in the game, which strategy is better? Play the "regular" defense. Play a "prevent" defense that guards against long gains but makes short gains easier. The coach reviews the outcomes of 100 games. Compare the probability of winning when playing regular defense with the probability of winning when playing prevent defense. Draw a conclusion based on your results.
Answer: B
Step-by-step explanation:
The probability of winning when playing regular defense is 42 over the total 50.
42/50 = 0.84
The probabilty of also winning when playing Prevent defense is 35 over the total 50 also.
35/50 = 0.70
0.84 is greater than 0.70 so your more likely to win playing regular defense.
B. P(win | regular) = 0.84
P(win | prevent) = 0.70
Conclusions : You are more likely to win by playing regular defence.
What is probability ?The ratio of favourable outcomes of an event and total outcomes of an event is called probability of that event.
What is the conclusion of the problem ?The number of outcomes of winning by regular defence is 42 out of 50.
∴ P(win | regular) = 42/50 = 0.84
The number of outcomes of winning by prevent defence is 35 out of 50.
∴ P(win | prevent) = 35/50 = 0.70
Conclusion : You are more likely to win by playing regular defence.
Hence the option B is correct.
Learn more about probability here :
https://brainly.com/question/24756209
#SPJ2
LCM PICTURE INCLUDED
Answer: B) 3³ x 7⁶
Step-by-step explanation:
The most they have together is 3³ and 7⁶ the Least Common Multiple is:
3³ x 7⁶
How might you describe the y values for this section of x values: -1
Answer:
Answer is below
Step-by-step explanation:
The y-values are all real numbers because they reach every possible y-value from -∞ to ∞ on the y-axis.
in 2000 the median size of a new single family house was 2057 square feet in 2010 the median size was 2169 square feet.
What is the average rate of change in the median home size over this time period?
a.) 112 sq per year
b.) 89 sq per year
c.) 8.9 sq per year
d.) 11.2 sq per year
Answer:
d.) 11.2 square feet per yearStep-by-step explanation:
The difference in sizes:
2169 - 2057 = 112 square feet
It is 10 years from 2000 to 2010
112:10 = 11.2
Hi The point C lies on a straight line AB and CD is a ray . If /ACD = 470 and /DCB = x0, find the value of x. Does anyone know the answer of this question ?
Answer:
x=133 degrees
Step-by-step explanation:
The diagram is drawn and attached below.
Now, AB is a straight line.
[tex]\angle ACD+ \angle DCB =180^\circ $ (Linear Postulate)\\47^\circ+x^\circ=180^\circ\\x^\circ=180^\circ-47^\circ\\x^\circ=133^\circ[/tex]
did I do it right?
2+5+ 3x + 1 + 2x =
5x+2+5+1 =
5x+7+1 =
5x+8
Answer:
5x+8
Step-by-step explanation:
2+5+ 3x + 1 + 2x
Combine like terms
3x+2x + 2+5+1
5x +8
Answer:
Yes
Step-by-step explanation:
To simplify an expression like the one, you have to collect all the like terms and do the operation individually for each group of like terms.
In 2+5+3x+1+2x, the like terms are:
2,5,1 and 3x,2x
Solve them individually.
2+5+1=8
3x+2x =5x.
Put the, back and the final answer is 5x+8
Hope this helps
Factor completely 4x2 − 8x + 4. A Prime B 4x(x2 − 2x + 1) C 4(x2 − 2x + 1) D 4(x2 + 4)
Answer:
4 ( x-1)^2
Step-by-step explanation:
4x^2 − 8x + 4.
Factor out the greatest common factor
4( x^2 -2x+1)
Factor inside the terms
4( x-1) (x-1)
4 ( x-1)^2
Answer:
4(x-1)(x-1)
4(x^2-2x+1) C
Step-by-step explanation:
4x^2 − 8x + 4 common factor 4
4(x^2-2x+1)
4(x-1)(x-1) or (4x-4)(x-1)
Please help me I will give BRAINLIST and a like
I rlly need help
Answer:
?=3
Step-by-step explanation:
a= 3/5 b - 7
Answer:
the number that should be in the green box is 3
Step-by-step explanation: since it is three-fifths, in numerical way, it should be written as 3/5..
7 less than three fifths of b is a gives 3/5b-7=a
Which relation defined by a mapping diagram is not a function?
Answer:
C
Step-by-step explanation:
If 8% of a number is 4, what is 12% of a number? Explain your reasoning.
Answer:
0.08, 4, 0.12
Step-by-step explanation:
0.08, 4, 0.12
NEEEED HELPPP NOWWWW Use long division to find the quotient below.
(x^5+ 18x^2 - 27x) - (x+3)
Answer:
[tex] {x}^{4} - 3 {x}^{3} + 9 {x}^{2} - 9x[/tex]Option A is the correct option.
Step-by-step explanation:
[tex] \frac{ {x}^{5} + 18 {x}^{2} - 27x }{x + 3} [/tex]
Factor out X from the expression
[tex] \frac{x( {x}^{4} + 18x - 27)}{x + 3} [/tex]
Add and subtract [tex]3 {x}^{3} [/tex]
[tex] \frac{x( {x}^{4} + 3 {x}^{3} - 3 {x}^{3} + 18x - 27)}{x + 3} [/tex]
Write 18x as a difference
[tex] \frac{x( {x}^{4} + 3 {x}^{3} - 3 {x}^{3} - 9 {x}^{2} + 9 {x}^{2} + 27x - 9x - 27 }{x + 3} [/tex]
factor out [tex] {x}^{3} [/tex]from the expression
[tex] \frac{x( {x}^{3} (x + 3) - 3 {x}^{3} - 9 {x}^{2} + 9 {x}^{2} + 27x - 9x - 27) }{x + 3} [/tex]
Factor out [tex] - 3 {x}^{2} [/tex] from the expression
[tex] \frac{x( {x}^{3} (x + 3) - 3 {x}^{2}(x + 3) + 9 {x}^{2} + 27x - 9x - 27) }{x + 3} [/tex]
factor out 9x from the expression
[tex] \frac{x( {x}^{3}(x + 3) - 3 {x}^{2} (x + 3) + 9x(x + 3) - 9x - 27 }{x + 3} [/tex]
Factor out -9 from the expression
[tex] \frac{x( {x}^{3} (x + 3) - 3 {x}^{2} (x + 3) + 9x(x + 3) - 9(x + 3)}{x + 3} [/tex]
factor out x+3 from the expression
[tex] \frac{x(x + 3)( {x}^{3} - 3 {x}^{2} + 9x - 9) }{x + 3} [/tex]
Reduce the fraction with X+3
[tex]x( {x}^{3} - 3 {x}^{2} + 9x - 9)[/tex]
Distribute X through the parentheses
[tex] {x}^{4} - 3 {x}^{3} + 9 {x}^{2} - 9x[/tex]
hope this helps...
Good luck on your assignment...
Write the equation of the line of best fit using the slope-intercept formula y = mx + b. Show all your work, including the points used to determine the slope and how the equation was determined.
Answer: ŷ = 0.96185X + 3.55949
Step-by-step explanation:
From the plot provided : our points are;
(19,25), (36,35),(37,39),(41,40),(44,45),(46,50),(47,49),(49,47),(51,55),(57,59),(58,60),(58,61)
According to relation:
Y = mx +c
Using the online linear regression calculator
ŷ = 0.96185X + 3.55949
The gradient or slope (m) = 0.96185
m = (y2 - y1) / (x2 - x1)
Alex is 12 years older than George. Carl is three times older than Alex The sum of their ages is 68
find the ratio of George's age to Carl's age to Alex's age.
Answer:
1:12:4
Step-by-step explanation:
Let's say that George's age is x. That means that Alex's age would be x+12
Since Carl is 3 times older, Carl would be 3(x+12)
We put all those in the equation and get this:
x+ x+12 + 3(x+12)=68
2x+12+3x+36=68
5x+48=68
5x=20
x=4
George is 4 years old, Alex is 16, and Carl is 48
Divide every age by 4 to find the ratio
In order of George, Carl, and Alex:
1:12:4
Answer:
1 : 12 : 4.
Step-by-step explanation:
Let's start by assigning some variables to the names! We can use a to represent Alex, g to represent George, and c to represent Carl.
Alex is 12 years older than George, which means that a = g + 12.
Carl is three times older than Alex, which means that c = 3a.
The sum of the ages is 68, meaning that a + g + c = 68.
Since c = 3a, we can say that c = 3(g + 12), and that c = 3g + 36.
That way, we can put it all together...
(g + 12) + g + (3g + 36) = 68
g + g + 3g + 12 + 36 = 68
5g + 48 = 68
5g = 20
g = 4
Now that we have George's age, we can calculate the others!
a = g + 12
a = 4 + 12
a = 16
Now that we have Alex's age, we can calculate Carl's!
c = 3a
c = 3 * 16
c = 48
To check out work, 4 + 16 + 48 = 20 + 48 = 68. 4 + 12 = 16. 16 * 3 = 48. It all matches up!
The question asks for the ratio of George's age to Carl's to Alex's, so we can just find the ratio of g : c : a.
4 : 48 : 16
To simplify, divide all three numbers by 4.
1 : 12 : 4.
You can no longer simplify, so there is your answer!
Hope this helps!
Please write TWO expressions that are equivalent to 2(9j + 5). REMEMBER I NEED TWO EXPRESSIONS. ANSWER GETS BRANLIEST, 5IVE STARS, TEN POINTS, AND A THANKS.
Answer:
(2 × 9j) + (2 × 5) AND 18j + 10
Step-by-step explanation:
=> 2(9j+5)
Applying distributive property to expand the brackets
=> (2 × 9j) + (2 × 5) ← 1st Expression
=> 18j + 10 ← 2nd Expression
ANYONE???????????????????
Answer:
D
Step-by-step explanation:
If I estmaite the answer from 81% to 80%, then 80*2=160. 160/2=80. 80% to 81 percent.
--------------------------------------------------------------------------------
Hope this helps you...
Mark says that the number 2 is a rational number because he can write it as the fraction >
Is Mark correct? Why or why not?
O Mark is correct because the denominator, 1, is an integer.
Mark is correct because the fraction is equal to V2.
Mark is not correct because 2 is not equal to the fraction
✓
Mark is not correct because a fraction is rational only if the numerator and the denominator are both integers.
Answer:
C and D.
Step-by-step explanation:
I am guessing that he wants to find if 2 is a rational number by comparing it to the fraction [tex]\frac{\sqrt {2}}{1}[/tex]
There are a couple of reasons why Mark is not correct:
1. A number is rational only if it can be written as a fraction made up of the numerator and denominator as integers.
2. The fraction [tex]\frac{\sqrt {2}}{1}[/tex] is not equal to 2, so, he is wrong.
So, C and D would be correct.
NOTE: In case I misinterpreted the question, use 1. to judge if it is rational or not, you should get your answer.
Answer:
Mark is not correct because a fraction is rational only if the numerator and the denominator are both integers.
Step-by-step explanation:
This is the correct answer
brainliest pls
the profit earned by a hot dog stand is a linear funsion of the number of hot dogs sold.It cost the owner $48 dollars each morning for the day's supply of hot dogs,but he earnes $2 profit for each hot dog sold which equation represent y, the profit earned bye the hot dogs sold
Answer:
Step-by-step explanation:
If he earns $2 per hot dog sold, then the algebraic expression for this is 2x, where x is the number of hot dogs sold. If he has to put out $48 to buy the supplies, that is represented as -48. The function, then, that represents the profit earned by selling the hot dogs is
y = 2x - 48
Answer:
c
Step-by-step explanation:
What is the simplified expression for Negative 2 a squared b + a squared minus 5 a b + 3 a b squared minus b squared + 2 (a squared b + 2 a b)?
Answer:
a^2-ab+3ab^2-2b^2
Step-by-step explanation:
-2a^2b+a^2-5ab+3ab^2-b^2+2(a^2b+2ab)
Open parenthesis
-2a^2b+a^2-5ab+3ab^2-2b^2+2a^2b+4ab
Add
-2a^2b+2a^2b=0
We have
a^2-5ab+3ab^2-2b^2+4ab
Add
-5ab+4ab=-ab
We have
a^2-ab+3ab^2-2b^2
Arc CD is One-fourth of the circumference of a circle. What is the radian measure of the central angle?
StartFraction pi Over 4 EndFraction radians
StartFraction pi Over 2 EndFraction radians
2π radians
4π radians
Answer:
[tex]\frac{\pi }{2}[/tex]
Step-by-step explanation:
Since the arc is [tex]\frac{1}{4}[/tex] of the circumference, then
central angle = [tex]\frac{1}{4}[/tex] × 2π ← angle in whole circle
central angle = [tex]\frac{2\pi }{4}[/tex] = [tex]\frac{\pi }{2}[/tex]
Answer:
B. [tex]\frac{\pi }{2}[/tex] radians
Step-by-step explanation:
Edge 2021
What is the value of p?
Answer:
43
Step-by-step explanation:
90 is on a straight line with an interior angle of the triangle. So, they add to 180. 90+x=180
x=90
133 is also on a straight line. 180-133= 47
47+90=137
that leaves p as 180-137 or 43.
n chemistry, the pH of a solution is defined by: pH space equals space minus log space left square bracket straight H plus right square bracket, where H+ is the hydrogen ion concentration of the solution in moles per liter. Distilled water has a pH of approximately 7. A solution with a pH under 7 is called an acid, and one with a pH over 7 is called a base. Tomato juice has a hydrogen ion concentration of 10 to the power of negative 4.1 end exponent mole per liter. Find the pH of tomato juice. pH space equals space 4.9 pH space equals space 2.8 pH space equals space 3.5 pH space equals space 4.1
Answer:
The correct option is;
pH = 4.1
Step-by-step explanation:
The given information are;
The hydrogen ion [H⁺] concentration in tomato juice = [tex]10 ^{-4.1}[/tex]
The pH of a solution = -㏒{H⁺] = -㏒( [tex]10 ^{-4.1}[/tex]) = -(-4.1) × ㏒(10) = 4.1
The pH of the of the tomato juice = 4.1
The pH is the term used to refer to the acidity of water with the range of pH values ranging from 0 to 14 where pH values of a solution lesser than 7 are considered acidic while pH values above 7 indicate a basic solution.