Answer:
You would add 3x to both sides. Then divide by 10 on both sides.
What to do to isolate the variable term to one side of the equation is to add 3x to both side
Given the equation, -3x + 18 = 7x, we need to isolate the variable term. To do that, we will follow the steps below;
Add 3x to both sides of the equation to have;
-3x + 18 + 3x = 7x + 3x
18 = 7x + 3x
Swap sides
7x + 3x = 18
10x = 18
Divide both sides by 10
10x/10 = 18/10
x = 1.8
From the steps above, what to do to isolate the variable term to one side of the equation is to add 3x to both side
Learn more here: https://brainly.com/question/14107099
Joe is looking for a new laptop case. His computer is 18 x 13.5 inches. What is the perimeter and area of the laptop case?
Perimeter:
Area:
Answer:
Perimeter =63 inches
Area = 243in²
Step-by-step explanation:
Given data
Length of computer = 18in
Width of computer = 13.5in
From the given data the computer has a rectangular shape
Perimeter of the computer = L+L+W+W= 2L+2W
Perimeter = 2(18)+ 2(13.5)
Perimeter = 36+27=63 inches
Area of rectangular shape = L*W
Area = 18 x 13.5= 243in²
Answer:
Perimeter: 63 inches
Area : 243 square inches
Step-by-step explanation:
Hi, to answer this question w eave to apply the next formulas:
Perimeter of a rectangle: (2 x width) + (2 x length )
Area of a rectangle: width x length
Replacing with the values given:
Perimeter: 2(18) +2(13.5) = 36+27 = 63 inches
Area = 18 x 13.5 = 243 square inches
Feel free to ask for more if needed or if you did not understand something.
Identify the measure of arc HD◠.
The figure shows a circle and three secants. Points P, K, L, H, D lie on the circle. Secants R L and K H intersect in the interior of the circle. The measure of formed angle is 92 degrees. Secants D R and L R intersect in the exterior of the circle at point R. The measure of angle D R L is 38 degrees. The measure of the intercepted arc that is closest to the angle is 18 degrees. Secant R L intersects the circle at some point. The measure of arc between this point and point K is 102 degrees. Point P lies on secant R D.
The measure of arc HD, which represents the arc between points H and D, is also 102 degrees.
We have,
In the given figure, we have a circle with points P, K, L, H, and D on it. Secant RL and secant KH intersect inside the circle, forming an angle with a measure of 92 degrees.
Secant DR and secant LR intersect outside the circle at point R, forming an angle DRL with a measure of 38 degrees.
The intercepted arc closest to angle DRL has a measure of 18 degrees.
Since secant RL intersects the circle at some point, we can consider the arc between that point and point K.
The measure of this arc is given as 102 degrees.
Therefore,
The measure of arc HD, which represents the arc between points H and D, is also 102 degrees.
Learn more about arc lengths here:
https://brainly.com/question/16403495
#SPJ2
a rectangle has an area of 24m². its length is 5m longer than the width.
write an expression for the rectangle's length
Answer:
2x+2(x+5)) = 24
Step-by-step explanation:
2x+ 2(x+5) = 24
x is represented by the shorter side. Multiply by 2 because of the 2 sides. For the longer side, since it is 5m longer than the shorter side, you have to write (x+5). Multiply by 2 because of the 2 sides. Finally, add them both together since it is the area and set it equal to 24.
I am giving 25 points
Hailey organizes a New Year’s party. There are 16
pastries at the party, 7 of the pastries
are chocolate. What is the relative
frequency probability that a randomly
selected pastry will be a chocolate
pastry?
Answer:
[tex]\frac{7}{16}[/tex]
Since there are 16 pastries in total, and 7 of them are chocolate, this will become your probability.
So, since the total is 16, this will be the denominator, and the 7 will be the numerator.
So, it will be [tex]\frac{7}{16}[/tex]
11(4t + 1) what is the answer
Answer:
44t + 11
Step-by-step explanation:
11(4t + 1)
Distribute 11 amongst the values inside the parenthesis
11(4t) + 11(1)
Multiply
44t + 11
Hope this helps :)
Answer:
[tex]44t + 11[/tex]
Step-by-step explanation:
[tex]11(4t + 1) \\ = 44t + 11[/tex]
The space shuttle's external tank was a component of the space shuttle's launch vehicle that carried the fuel during launch. The tank is cylindrical in shape, having a diameter of 8.4 metres and is 46.9 metres in length. A)How much fuel would the tank hold? B)The tank takes 8.5 minutes to be emptied during launch. At what rate is the fuel being used?
Answer:
a. The tank would hold a 2,600.136 m^3 or 2,600,136 liters of fuel
b. The rate at which the fuel is being used is 305,898.35 liters of fuel per minute
Step-by-step explanation:
a. Since the tank is cylindrical in shape, we can mathematically calculate the volume of the cylinder so as to know the amount of fuel it will hold.
Mathematically, the volume of a cylinder;
V = π * r^2 * h
where r is the radius which is the diameter divided by 2 = 8.4/2 = 4.2 meters in this case
h is the length here(in place of the conventional height) = 46.9 meters
π = 22/7
Plugging these values into the equation, we have;
V = 22/7 * 4.2^2 * 46.9 = 2,600.136 m^3 of fuel
Since 1 m^3 = 1000 liters
then 2,600.136 m^3 = 2,600.136 * 1000 = 2,600,136 liters( liters is a more comfortable unit when talking about liquids such as fuel)
b. Now we want to know the rate at which the fuel is used
What we need here is to just divide the volume of fuel used by the number of minutes it took the tank to be emptied
That would be = 2,600,136/8.5 = 305,898.35 liters/minute
5.Gabby is fishing from a small boat. Her fishing hook is 36 feet below her, and a fish is swimming at the same depth as the hook, 77 feet away. How far away is Gabby from the fish?
Answer:
113 feet away
Step-by-step explanation:
This one is just simple maths! 36 + 77.
Hava a great day!
what is absolute diviation
It’s the average distance between each data value and the mean.
Answer:
one measure of variability; the average of how much the individual scores of a data set differ from the mean of the set. - abbreviation: MAD
Step-by-step explanation:
Avril wants to puts trim around the border of one of the walls in her room. The dimensions of the wall is 10 x 15 ft. Will she need to find the area or the perimeter of the wall to figure out how much trim she needs? How much trim does she need?
Answer:Perimeter, 50ft
Step-by-step explanation:since it is around the answer is 50 ft
Math isnt my strong suit..
Answer:
See explanation below.
Step-by-step explanation:
First, read this explanation of how to understand probability numbers.
A probability number is a number from 0 to 1. It can be written as a decimal, a fraction, or a percent, but it must be from 0 to 1. The numbers 0, 25%, 1/3, 0.75 are all examples of probabilities since they are all from 0 to 1. 25% is the same as 0.25; 1/3 is the same as 0.333... All probabilities are expressed as 0, 1, or a number in between 0 and 1.
A probability of 0 means the event will not happen. It is an impossibility.
A probability of 1 or 100% is a sure thing it will happen. It is certain it will happen.
A probability of 50% or 0.5 or 1/2 means it is as likely to happen as it is not to happen.
A probability of between 0 and 0.5 is more likely not to happen than to happen.
A probability of between 0.5 and 1 is more likely to happen than to not happen.
Now let's look at each one of the probabilities in your problem.
1. 1/4
1/4 is the same as 0.25 which is between 0 and 0.5. It is more likely to not happen.
1. b. Unlikely
2. 0.0
0.0 will definitely not happen.
2. e. Impossible
3. 0.50
0.50 can just as easily happen or not happen.
3. d. Equally Likely
4. 100%
100% is the same as 1. A probability of 1 means an event that is certain to happen.
4. a. Certain
5. 75/100
75/100 is the same as 3/4 and 0.75; 0.75 is between 0.5 and 1, so it is more likely to happen than to not happen.
5. c. Likely
What is the surface area of the square pyramid?
Answer:
D
Step-by-step explanation:
The formula for the surface area of a square pyramid is [tex]a^2+2a\sqrt{\dfrac{a^2}{4}+h^2}[/tex], where a is the length of one of the base side lengths and h is the height. Plugging in the given values into this equation, you get:
[tex]75^2+2(75)\sqrt{\dfrac{75^2}{4}+90^2}=[/tex]
[tex]5625+150\cdot \sqrt{9506.25}=[/tex]
[tex]5625+14625=[/tex]
[tex]20,250[/tex] square yards, or answer choice D.
Hope this helps!
PLS HELP ME
M^2- 7m+1 ?
Answer:
Step-by-step explanation:
factorize the given equation like this
m^2-7m+1
m^2-2m+1-5m
(m-1)^2-([tex]\sqrt{5m}[/tex])^2
(m-1+[tex]\sqrt{5m}[/tex])(m-1-[tex]\sqrt{5m}[/tex])
You flip a coin and then roll a fair six-sided die. The coin lands heads-up and the die shows an even number.
help and thanks!!
Answer:
1/6
Step-by-step explanation:
If you're asking for the probability that the coin is heads and the die is even. Hope this helps :)
1/3*1/2= 1/6
Answer:
The answer is 1/6
Step-by-step explanation:
This is because the dice has 6 sides so the possibility of getting a even is 1/6
Which expression has the same value as 5(4x+4)
Answer: 20x + 20
Step-by-step explanation: In this problem, the 5 "distributes" through the parentheses, multiplying by each of the terms inside.
So we have 5(4x) + 5(4) which simplifies to 20x + 20.
There is 25 coins in a bag, 5 of them are quarters. What is the probability of getting a quarter? Express as all four types of probability.
Answer:
Step-by-step explanation:
The ptobability of getting a quarter is 5/25 to the simpliest form is 1/5
The four probability is basic probability, compound event, independent and dependent event and the probability line.
I hope it'll help you much
Thank you for asking
Maria está en el piso 6 y quiere ir al sótano 2. Cuantos pisos bajará?
Answer: 8
Step-by-step explanation:
Ella tiene que bajar los 6 pisos, mas 2.
6+2=8
In an elementary school, 25% of the 252 students ride a bus to school each day. How many students ride the bus?
Answer:
63 ride the bus
Step-by-step explanation:
of means multiply
25% * 252
Change to decimal form
.25* 252
63
the sum of three consecutive odd numbers is seventy-five. what is the smallest of the three numbers
Step-by-step explanation:
The three numbers are 23 25 and 27
23 + 25 + 27 = 75
The smallest number is 23
What is the discriminant of the quadratic equation 0 = –x2 + 4x – 2?
–4
8
12
24
Answer:
8
Step-by-step explanation:
0 = –x^2 + 4x – 2
This is of the form
ax^2 +bx +c
a = -1 b = 4 x = -2
The discriminant is
b^2 -4ac
4^2 - 4(-1)(-2)
16 - 8
8
Carter took 7 coins out of his pocket. He did not have any pennies.He had more than $0.95 and less than $1.13 what could his coins have been ?Prove your anser
Answer:
Carter's coins could be;
3 of 5¢, 2 of 10¢, 1 of 25¢, and 1 of 50¢
Step-by-step explanation:
The available coin denominations are;
1¢ = 1 penny, 5¢, 10¢, 25¢, 50¢, and $1.00
Since the coins are more than $0.95, we can have;
5¢ × 3
10¢× 2
25¢× 1
50¢
Total = $1.00
That is his coins could have been 3 × 5¢, 2 × 10¢, 1 × 25¢, and 1 × 50¢, to make a total of 7 coins with an amount value of $1.00.
Tennis great Roger Federer made 63% of his first serves in a recent season. When Federer made his first serve, he won 78% of the points. When Federer missed his first serve and had to serve again, he won only 57% of the points. Suppose you randomly choose a point on which Federer served. You get distracted before seeing his first serve but look up in time to see Federer win the point. What's the probability that he missed his first serve?
Sounds like a Bayes Theorem problem.
Events:
F: Roger makes his first serve. We'll write ~F for "not F".
P(F) = .63
P(~F) = 1 - .63 = .37
W: Roger wins the point. We don't know P(W) but we are given
P(W | F) = .78
P(W | ~F) = .57
We're asked for
P(~F | W)
The basic conditional probability theorem is
P(~F and W) = P(~F | W) P(W) = P(W | ~F) P(~F)
P(~F | W) = ( P(W | ~F) P(~F) ) / P(W)
We write
P(W) = P(W | F) P(F) + P(W | ~F) P(~F)
Substituting gives Bayes' Theorem:
P(~F | W) = ( P(W | ~F) P(~F) ) / ( P(W | F) P(F) + P(W | ~F) P(~F) )
We know all the parts so we substitute,
P(~F|W) = ( .57(.37) ) / (.78(.63) + .57(.37) ) = 0.30029901751388294
Let's call that 30%
Answer: 30%
Answer:
0.3
Step-by-step explanation:
We need to reverse this because we only know the outcome. P(A|B) = P(B|A) * P(A) / P(B), so P(B|A) is B given that A happens, P(A) in this case is the probability that he missed the first serve. P(B) is the probability of winning the point. P(B) = P(B|A') * P(A') + P(B|A) * P(A), which means P(B) is the probability of the point scored given that the serve was made multiplied by the probability of the serve being made plus the probability of B given that serve is missed multiplied by the probability that the serve is missed. This is 57% * 37% + 78% * 63%=0.21+0.49=0.7. So P(B)=0.7. P(B|A)*P(A)/P(B) would be 57% * 37% / 70% = 0.3. The probability that Federer missed his first serve given that he scored the point is 0.3.
Can someone help me on this?
Answer:
B
Step-by-step explanation:
asdddddddddddddddddddddddddddddddsdasdasdasdasdas
Answer:
b
Step-by-step explanation:
can someone help? 25 points
Answer:
Triangle A: acute
Triangle B: acute
Triangle C: obtuse
Triangle D: right
Step-by-step explanation:
acute= less than 90 degrees each angle
obtuse=more than 90 degrees for one angle
right=equal exactly 90 degrees for one angle
Answer:
A=Acute
B. Acute
C.Obtuse
D.Right
Step-by-step explanation:
a,and b, and are acute becuase there angles are less than 90 degrees.
d is obtuse beucase the angleismore than 90 degrees
D is right beucase the angle is 90 degrees and it hasthat square in the corner.
NEED HELP! ASAP PLEASE!
Answer:
(0,-41)
Step-by-step explanation:
You can see that for each 9 units that x goes up, y goes up by 19. If we continue this pattern, it will take 2 more jumps of 9 units for the x value to be 0 or to reach the y intercept. Adding 19 twice to -79 gives -41. Hope this helps!
Find the area
Please help me thank you!
Directions: Identify the two integers which the square root lies between.
V48
5 and 6
7 and 8
6 and 7
8 and 9
What is the equation of a line that is parallel to (1/2)y + x = 4 that passes through the point (0,14)?
Answer:
i cant answer that i'm only in 8th
What happens to the parabola when a<1 compared to the parent function?
Answer: The parabola is wider than the parent function
Step-by-step explanation:
If "a" is a fraction less than one, then the parabola becomes wider.
See graph (attached)
find the value of x in the following..... 3^x = 8
Answer:
x ≈ 1.893 ( to 3 dec. places )
Step-by-step explanation:
Using the rule of logarithms
log [tex]x^{n}[/tex] = n logx
Given
[tex]3^{x}[/tex] = 8 ( take the log of both sides )
log[tex]3^{x}[/tex] = log8, that is
xlog3 = log8 ( divide both sides by log3 )
x = [tex]\frac{log8}{log3}[/tex] ≈ 1.893
Can someone please help me? I keep losing points...
CORRECT ANSWERS ONLY PLEASE!!!!
Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Round your answer to the nearest cent.
Answer:
She will have $78,080 dólars in her account and $17,080 is the interest she will earn in 2 years
Step-by-step explanation:
i = prt
i = ($61,000)(.14)(2)
i = $17,080
$78,080
Answer:
$78080
Step-by-step explanation:
Using the given formula :
I = P × R × T
I = 61000 × 14/100 × 2
I = $17080
She have = 61000 + 17080 = $78080
