[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{25x^2=49}[/tex]
[tex]\textsf{DIVIDE by 25 to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{25x^2}{25}=\dfrac{49}{25}}[/tex]
[tex]\textsf{Cancel out: }\mathsf{\dfrac{25}{25}}\textsf{ because it gives you 1}[/tex]
[tex]\textsf{Keep: }\mathsf{\dfrac{49}{25}}\textsf{ because it helps us solve for x}[/tex]
[tex]\textsf{New equation: }\mathsf{x^2 = \dfrac{49}{25}}[/tex]
[tex]\textsf{TAKE the SQUARE ROOT}[/tex]
[tex]\mathsf{x\pm \sqrt{\dfrac{49}{25}}}[/tex]
[tex]\mathsf{\sqrt{\dfrac{49}{25}}= 1.4}[/tex]
[tex]\mathsf{- \sqrt{\dfrac{49}{25}}= -1.4}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: \huge \bf x = 1.4 or x = -1.4}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Find the slope of the line containing the given pair of points. If the slope is undefined, state this. (-8,0) and (4,0)
Answer:
The slope is 0
Step-by-step explanation:
Given
[tex](x_1,y_1) = (-8,0)[/tex]
[tex](x_2,y_2) = (4,0)[/tex]
Required
The slope (m)
This is calculated as"
[tex]m=\frac{y_2-y_1}{x_2 - x_1}[/tex]
[tex]m=\frac{0-0}{4 -(-8)}[/tex]
[tex]m=0[/tex]
The slope is 0
Which region indicates the intersection of the system 2x + 3y > 3 and y sx - 1?
Answer:
I think Region 1 is my answer, because the first equation is -1.1 and thats the closest point
Red gold has 3 parts gold and one part copper how much carat gold it will be
Answer: 0.75 ×24 carat = 18 carat
Step-by-step explanation:
24 carat is 100% pure gold. If there is 3/4 parts of gold it is 75 % = 0.75
A teacher is making 7 identical supply boxes
for each table in her classroom. Each box
contains some pencils and 11 pens. The
teacher uses a total of 182 pencils and pens.
Determine the number of pencils that are in
each box.
Answer:
26
Step-by-step explanation:
182 pencils devided by 7 identical boxes
182÷7
=26 pencils are in each box
Answer:
15 pencils in each box
Step-by-step explanation:
If each box has 11 pens,then there are 77 pens
In total 182 pencils and pens
182-77 = 105 (105 pencils)
105/7 = 15
15x7 = 105
11x7 = 77
105 +77 = 182
(fractions 5th grade) 3/9 + 2/3
Answer:
1
Step-by-step explanation:
Simplify 3/9 by 3 -> 1/3
Now that both fractions have the same denominator, you can add them.
1/3 + 2/3 = 3/3 or 1
Consider the figure shown below. What is the value of the angle x?
x = _______ degree.
Please guys, can someone help me out?
Six more than five times a number
Answer:
? = 5n + 6
Explanation:
Answer:
5x + 6
Step-by-step explanation:
Let the number = x. 5 times x = 5x. So, the equation 5x + 6.
what is 261.8 rounded to the nearest tenth
is it 261.80?
Divide the given polynomial by the given monomial.
Answer:
Looks like all of your questions have been answered.
WILL GIVE BRAINLIEST
If there are 2 boys and 3 girls in a group. What is the ratio of girls to boys? Express the ratio in 3 different ways. ( Place commas in between each way )
Answer:
2 to 3, 4 to 6, 8 to twelve
Step-by-step explanation:
the boys are first, girls second
Answer: 3:2 ... 9:6... 27:18 you can put 81:54 too
Step-by-step explanation:
The data in the line plot show how many pages each student read last night. Which is the best measure of variability?
A. interquartile range
B. mean
C. median
D. range
47) How much does 75 gallons of water weigh
Answer:
It weighs 850 pounds
Step-by-step explanation:
Have a nice day
Please help it’s for homework
Answer all of these please
1.The product of a number and seven more than the number
2.The product of a number and seven less than the number
3.Eight less than twice a number is fourteen.
4.One less than three times a number is seven.
5. Four more than five times a number is two less than the number.
6.Ten less than a number is three more than six times the number.
7.Twice the sum of a number and 3 is 20.
Answer: 3. 22-8 / 4. 2x3.5 / 5.
Step-by-step explanation:
Step-by-step explanation:
1. 1×8=8
2. 9×2=18
3. 8+14=22÷2=11
4. 2.7
5. -1.5
6. closest -2.5
7.÷2=10-3=7
Which of the following are compound events in which the results of one event affect the likelihood of the other event? PLZ HELP ASAP
Answers: 1. independent events
2. dependent events
3. theoretical events
4. fair events
Answer:
2. Dependent events
Step-by-step explanation:
Expand and simplify (x-3)(x+5)
Answer:
^2 + 2x-15
Hope this helps
How many samples of size 2 can be formed from population of size 5
Answer:
2
Step-by-step explanation:
Please help!! Needed ASAP!!
Answer and Explanation:
If, on the other hand, the graph "flexes" or "flattens out" to some degree when it goes to cross the axis, then the zero is of a higher multiplicity; that is, it'll be of multiplicity three, five, or higher.
When a graph doesn't start at 0, it means that the graphs before it is not shown.
For number 4, I'd suggest Graph 3.
For number 3, I'd suggest graph 1.
For number 5, Write something along the lines of "Graph 2 does not show the car stopping slowly, it stops suddenly. Then it starts going really fast and stops suddenly again."
I hoped this helped.
Story Problem:
Avery purchased 4 tacos and 2 burritos and her total cost was $21. Sasha purchased 4 tacos and 3 burritos
and her total cost was $26.50. What is the price of one burrito?
Answer:
Step-by-step explanation:
Let tacos be x and burritos be y
So, Avery purchased 4x+2y = 21
Sasha purchased 4x+3y = 26.5
Solving the 2 eqns:
4x+2y=21
-4x-3y=-26.5
-y=-5.5
The cost of one burrito is $5.5
Find the equation of this line.
Simplify the fractions.
Answer:
Step-by-step explanation:
Where's the line?
a) One of two boxes contain 4 red balls and 2 green balls and the second box contains 4 green and two red balls. By design, the probabilities of selecting box 1 or box 2 at random are 1/3 for box 1 and 2/3 for box 2. A box is selected at random and a ball is selected at random from it. a) Given that the ball selected is red, what is the probability it was selected from the first box? b) Given that the ball selected is red, what is the probability it was selected from the second box? c) Compare the results in parts a) and b) and explain the answer.
Answer:
The answer is below
Step-by-step explanation:
Let B₁ represent box 1, B₂ represent box 2, E₁ represent the event of selecting box 1, E₂ represent the event of selecting box 2 and R represent the event of selecting a red ball.
Given that:
Probability of selecting box 2 P(E₂) = 2/3, Probability of selecting box 1 = P(E₁) = 1/3
Probability of selecting red ball from box 1 = P(R | E₁) = 4/6 [4 red balls out of 4 red, 2 green]
Probability of selecting red ball from box 2 = P(R | E₂) = 2/6 [2 red balls out of 2 red, 4 green]
a)
Given the ball is red, the probability it was selected from the first box is:
[tex]P(E_1|R)=\frac{P(R|E_1)P(E_1)}{P(R|E_1)P(E_1)+P(R|E_2)P(E_2)} =\frac{2/3*1/3}{(2/3*1/3)+(1/3*2/3))} =\frac{1}{2}[/tex]
b)
Given the ball is red, the probability it was selected from the second box is:
[tex]P(E_2|R)=\frac{P(R|E_2)P(E_1)}{P(R|E_2)P(E_2)+P(R|E_1)P(E_1)} =\frac{1/3*2/3}{(1/3*2/3)+(2/3*1/3))} =\frac{1}{2}[/tex]
c)
We can see that both probabilities are equal. Although we have more red balls in box 1 (twice as much) than in box 2 but the probability of selecting from box 2 (is twice as much) than from selecting from box 1.
The probability that the ball selected is red and it is selected from the first box is 1/2 and the probability that the ball selected is red and it is selected from the second box is 1/2.
Given :
One of the two boxes contains 4 red balls and 2 green balls and the second box contains 4 green and two red balls. By design, the probabilities of selecting box 1 or box 2 at random are 1/3 for box 1 and 2/3 for box 2.a) The probability that the ball selected is red and it is selected from the first box is:
[tex]P(E_1|R)=\dfrac{P(R|E_1)P(E_1)}{P(R|E_1)P(E_1)+P(R|E_2)P(E_2)}[/tex]
[tex]P(E_1|R)=\dfrac{\dfrac{2}{3}\times \dfrac{1}{3}}{\dfrac{2}{3}\times \dfrac{1}{3}+\dfrac{1}{3}\times \dfrac{2}{3}}[/tex]
[tex]P(E_1|R)=\dfrac{1}{2}[/tex]
b) The probability that the ball selected is red and it is selected from the second box is:
[tex]P(E_2|R)=\dfrac{P(R|E_2)P(E_2)}{P(R|E_1)P(E_1)+P(R|E_2)P(E_2)}[/tex]
[tex]P(E_2|R)=\dfrac{\dfrac{2}{3}\times \dfrac{1}{3}}{\dfrac{2}{3}\times \dfrac{1}{3}+\dfrac{1}{3}\times \dfrac{2}{3}}[/tex]
[tex]P(E_2|R)=\dfrac{1}{2}[/tex]
c) The probability that the ball selected is red and it is selected from the first box and the probability that the ball selected is red and it is selected from the second box is the same.
For more information, refer to the link given below:
https://brainly.com/question/795909
There are less 32 students in Mr. B’s math class
Answer:
-32????
Step-by-step explanation:
I don't see an actual question here, so my three answers that I got from this post are:
-32
<32
>-32
5 books cost $15. How much do 7 books cost?
What is the slope of line m?
On a coordinate plane, a straight line goes through (negative 2, 1), (0, 0), and (2, negative 1).
Given:
A straight line goes through (-2,1), (0,0), and (2,-1).
To find:
The slope of the given line.
Solution:
Slope formula
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Consider any two points from the given points.
The line goes through (-2,1) and (0,0). So, the slope of the line is
[tex]m=\dfrac{0-1}{0-(-2)}[/tex]
[tex]m=\dfrac{-1}{2}[/tex]
Therefore, the slope of the line is [tex]m=-\dfrac{1}{2}[/tex].
Answer:
its 2/3
Step-by-step explanation:
Solve for x: 8x = 2/3
solve for x: 1/4x =5
two questions
Answer: x=5
x= 2
Step-by-step explanation:
I have a cage with cats and birds. there are 12 heads and 32 feet. how many
birds are there
12x4=48
48-32=16
4-2=2
16 divided by 2=8 birds
Answer:
4 cats, 8 birds
Step-by-step explanation:
make a system of equations and solve.
help please. pleasee i will mark brain please
Answer:
A=3
B=3
C=2.5
D=5
E=1
F=2
G=4
Here you go! Happy to help!
Step-by-step explanation:
Multiply and then simplify completely: ( 8 + √ 10 ) ( 8 − √ 10 )
Answer:
54.
Step-by-step explanation:
( 8 + √ 10 ) ( 8 − √10)
= 8*8 - 8√10 + 8√10 +√10 * -√10
= 64 - 8√10 + 8√10 - 10
The 2 middle turns cancel out so we have:
64 - 10
= 54.
provided
What is the value of 2 in the equation 60x = 360x