Answer:
x=15
Step-by-step explanation:
2x/5=6
Multiply each side by 5/2 to isolate x
5/2 *2x/5=6*5/2
x = 15
Answer:
x = 15
Step-by-step explanation:
Given
[tex]\frac{2x}{5}[/tex] = 6 ( multiply both sides by 5 to clear the fraction )
2x = 30 ( divide both sides by 2 )
x = 15
?
Match each ratio to an equal ratio. Drag the items on the left to the
correct location on the right.
1:4
4:48
1:3
4:6
2:3
2:8
1:12
2:6
Answer:
2:8 is the ratio to an equal ratio
If, 3a/b= 12 what is the value of (-a/-b)
Answer:
A ; -4
Step-by-step explanation:
3a = 12b then a = 4b (dividing by 3)
we put 4b in the equation instead of a:
(-4b / b) = -4
.. ..
Answer:
A. -4
Step-by-step explanation:
3a/b = 12
Let b = 2
3a/2 = 12
3a = 24
a = 8
( - a/b)
( - 8/2)
( - 4)
What is the length of BD?
Answer: BD = 9 units
Step-by-step explanation:
ABQ and CDQ are congruent triangles. That means their angle measures are the same but their lengths may be proportional.
19.2 / 32 = 0.6
15 * 0.6 = 9
So the length of side BD is 9 units.
Answer:
9 units
Step-by-step explanation:
can someone please help me, I don’t understand this
Answer:
To find the circumference
diameter x 3.14 = circumference
We can undo the multiplication and divide to get the diameter
37.68 /3.14 = 12
diameter / 2= radius
12 / 2 = 6
the radius is 6
radius x radius x pi = area
6 x 6 x 3.14 = 113.04
113.04 is the answer
Hope this helps
Step-by-step explanation:
Answer:
113.04 square inches.
Step-by-step explanation:
The formula to find the circumference is 2πr. The formula for the area is πr^2. We are trying to find r in order to solve the problem.
It says use 3.14 for π. The circumference is 37.68 inches.
2πr = 37.68
2 * 3.14r = 37.68
3.14r = 18.84
r = 6
Now that we know the radius of the circle, we can find the area!
πr^2 = 3.14 * (6^2) = 3.14 * 36 = 113.04.
Hope this helps!
what’s the correct answer ? help !!
Answers:
a) 6h + 2k
c) 2k + 6h
Step-by-step explanation:
2(3h + k)
Distribute 2 to all the terms in the bracket.
2(3h) + 2(k)
6h + 2k or 2k + 6h
Answer:
The answers are a and c
Step-by-step explanation:
Expand the expression
2(3h + k)
6h + 2k
Since addition is commutative it can also be written as
2k + 6h
Hope this helps
which point on the number line best repersent √22
Answer:
The square root of 22 is around 4.69, so whatever point is closest to that will be your answer. :)
Answer:
b. 4.7
Step-by-step explanation:
Three angles of an octagon are equal and the sum of the remaining angles is 705⁰. find the size of one of the equal angles.
Answer:
125°
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 8 (octagon), thus
sum = 180° × 6 = 1080°
let x represent one of the equal angles, then
3x + 705 = 1080 ( subtract 705 from both sides )
3x = 375 ( divide both sides by 3 )
x = 125
Thus the size of one equal angle = 125°
A taxi company charges passengers $2.00 for a ride, no matter how long the ride is, and an additional $0.20 for each mile traveled. The rule c = 0.20m + 2.00 describes the relationship between the number of miles m and the total cost of the ride c. What is the charge for a 1-mile ride? A)$0.20 B)$0.02 C) $2.20 D)$2.00
Answer:
c
Step-by-step explanation:
Any ride takes $2.00 and one mile takes $0.20.
Cost = $0.20 + $2.00
Cost = $2.20
What is the length of the missing side? 6.7 49 45 None of these choices are correct.
Answer:
b = sqrt(45)
Step-by-step explanation:
This is a right triangle, so we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and be are the legs and c is the hypotenuse
2^2 + b^2 = 7^2
4 + b^2 = 49
Subtract 4 from each side
b^2 = 49-4
b^2 = 45
Take the square root of each side
sqrt(b^2) = sqrt(45)
b = sqrt(45)
A box has a volume of 5m³. The box will be enlarged by a scale factor of 2. What will the volume of the new box be?
Answer:
40m³
Step-by-step explanation:
[tex]\sqrt[3]{5}[/tex] = 1.709975947
1.709975947 × 2 = 3.419951893
3.419951893³ = 40
Answer:
volume of the box multiply scale factor
=5 × 2
=10m
best path to convert 100 liters to pints?
Answer:
[tex]\boxed{211.34 pints}[/tex]
Step-by-step explanation:
The best path for converting liters to pints is:
=> Multiply the liters by 2.1134
So,
100 liters = 100*2.1134 pints
=> 211.34 pints
Answer:
100L=211.338 Pints
Step-by-step explanation:
1L=2.11338 Pints
2.11338✖️100=move two decimal places to the right because of 2 zeros.
=211.338.
Hope this helped!
How many 4-digit numbers divisible by 5, all of the digits of which are odd, are there?
Answer:
I guess that we want to create 4 digit numbers that are divisible by 5, only using the odd numbers in the image.
We know that a number is divisible by 5 only if the last digit (the units digit) is a zero or a five, in the image we only have a five, so our 4-digit numbers need to end with a five, so we have a digit fixed in five and the other 3 digits can be other numbers.
We have two different approaches to this:
First, if each odd number can be used only once, we already used the five, so we can use the other 4 numbers.
Then, for the first digit, we have 4 options.
for the second digit, we have 3 options (because we already used one)
for the third digit, we have 2 options (because we already used 2)
then the number of combinations is equal to the product of the number of options for each selection:
C = 4*3*2 = 24 combinations.
The second approach is If the numbers in the image can be repeated (for example, 5555 or 3435 are allowed)
we still have our last digit fixed in 5, and for the first digit we have 5 options, for the second we also have 5 options, and for the third, we also have 5 options, then, with the same reasoning as above, we have:
C = 5*5*5 = 25*5 = 125 combinations.
The formula for a volume of a cylinder is V= pi r squared h/3. solve the equation for h, or height. PLZ help ASAP
Answer:
h=3V/πr²
Step-by-step explanation:
V= πr²h/3πr²h=3Vh=3V/πr²Answer:
3V / (pi r^2) = h
Step-by-step explanation:
V= pi r squared h/3
Multiply each side by 3
3V = pi r^2 h /3 * 3
3V = pi r^2 h
Divide each side by pi r^2
3V / (pi r^2) = pi r^2 h /( pi r^2)
3V / (pi r^2) = h
Please help me……………………………………………………………
Hey there! :)
Answer:
x = -6.
Step-by-step explanation:
Given:
[tex]\sqrt[3]{5x-4} = \sqrt[3]{7x + 8}[/tex]
Cube both sides:
5x - 4 = 7x + 8
Subtract 5x from both sides:
-4 = 2x + 8
Subtract 8 from both sides:
-12 = 2x
x = -6.
A two-factor research study has 2 levels of factor A and three 3 of factor B with n = 8 participants in each treatment condition. For this study, what is the value for dfbetween treatments? a.5b.4c.3d.6
Answer:
a.5
Step-by-step explanation:
The computation of the value for df^{between treatments} is shown below:
According to the question, the data provided is as follows
Two levels of factor A
And, there are three of factor B
So, the total number of treatment conditions is
= 2 × 3
= 6
Now the value for df^{between treatments} is
= 6 - 1
= 5
Hence, the correct option is a.5
The value for df between treatments is (a) 5
The given parameters are:
[tex]\mathbf{A = 2}[/tex] --- levels of factor A
[tex]\mathbf{B = 3}[/tex] --- levels of factor B
Start by calculating the total number of treatment conditions (n)
[tex]\mathbf{n = A \times B}[/tex]
So, we have:
[tex]\mathbf{n = 2 \times 3}[/tex]
[tex]\mathbf{n = 6}[/tex]
Calculate the degrees of freedom (df)
[tex]\mathbf{df = n - 1}[/tex]
Substitute 6 for n
[tex]\mathbf{df = 6 - 1}[/tex]
[tex]\mathbf{df = 5}[/tex]
Hence, the difference is (a) 5
Read more about degrees of freedom at:
https://brainly.com/question/8605632
Use the Factor Theorem to determine which of the following are NOT factors of 3x^4 - 5x^3 - 71 x^2 + 157x + 60 a. x - 3 c. x - 2/3 b. x + 1/3 d. x - 4
Answer:
c. x - 2/3
Step-by-step explanation:
The given equation is f(x) = [tex]3x^4 - 5x^3 - 71 x^2 + 157x + 60[/tex]
To test if the given equations are factors of the polynomial, check if the remainder is equal to zero if substituted into the equation.
For x - 3, x = 3
Substituting x = 3 into the given polynomial:
[tex]f(3) = 3(3)^4 - 5(3)^3 - 71 (3)^2 + 157(3) + 60\\f(3) = 0[/tex]
x - 3 is a factor
For x - 4, x = 4
Substituting x = 4 into the given polynomial:
[tex]f(4) = 3(4)^4 - 5(4)^3 - 71 (4)^2 + 157(4) + 60\\f(4) = 0[/tex]
x - 4 is a factor
For x - 2/3, x = 2/3
Substituting x = 2/3 into the given polynomial:
[tex]f(2/3) = 3(2/3)^4 - 5(2/3)^3 - 71 (2/3)^2 + 157(2/3) + 60\\f(2/3) = 132.22[/tex]
x - 2/3 is not a factor
For x + 1/3, x = -1/3
Substituting x = -1/3 into the given polynomial:
[tex]f(-1/3) = 3(-1/3)^4 - 5(-1/3)^3 - 71 (-1/3)^2 + 157(-1/3) + 60\\f(-1/3) = 0[/tex]
x + 1/3 is a factor
This distance-time graph represents a journey made by Jo.
a)What did Jo do at minute 10?
b) At what speed was Jo moving for the last 30 mins of the journey?
Answer:
Jo started decelerating at the 10th minute
His average speed for the last 30 minutes of the journey is 4/30 km/minute
Step-by-step explanation:
To get what Jo did at 10 minute, we look at the graph.
At the 10th minute, we can see that we have a sharp turn from the top to the zero position at the 20th minute
so we can say that Jo started deceleration at the 10th minute
For the last 30 minutes of the journey, he travelled a distance of 4km
So, mathematically, his average speed will be;
Distance/ time = 4km/30 minutes = 4/30 km/minute
The slope of a straight portion of the given distance time graph gives Jo's
speed in the region where the slope is calculated.
(a) What Jo did in minute 10 is; turn round and start to move back to his starting point.(b) Jo's speed in the last 30 minutes of the journey is 8 km/hr.Reasons:
(a) From the distance time graph which gives the distance from the starting point, we have;
At minute 5, Jo's distance from the starting point is 0.5 km.
At minute 10, Jo's distance from the starting point is 1 km.
At minute 15, Jo's distance from the starting point is 0.5 km.
Therefore;
Jo turned round and started a journey back to his starting point at minute 10
(b) Jo's speed in the last 30 minutes of the journey is given by the ratio of
the rise and run of the graph as follows;
60 minutes = 1 hour
30 minutes = 0.5 hour
[tex]Speed = \dfrac{4 \, km - 0 \, km}{60 \, min - 30 \, min} = \dfrac{4 \, km - 0 \, km}{1 \, hr - 0.5 \, hr} = \dfrac{4 \, km}{0.5 \, hr} = 8 \, km/hr[/tex]
Jo's speed the last 30 minutes of the journey = 8 km/hr.
Learn more here:
https://brainly.com/question/13095673
Identify the area of sector AMC in terms of pi and rounded to the nearest hundredth.HELP PLS
Answer:
Step-by-step explanation:
The formula for the area of a sector is
[tex]A=\frac{\theta}{360}*\pi r^2[/tex] where θ is the measure of the central angle and r is the radius.
Our central angle is a right angle and the radius is 4, so filling in the formula looks like this:
[tex]A=\frac{90}{360}*\pi (4)^2[/tex] and
[tex]A=\frac{1}{4}*\pi (16)[/tex]
16 divides by 4 evenly, so
A = 4π.in²
If we multiply 4 by the value of π and then round, that number, to the nearest hundredth, is
A = 12.57 in²
I NEED HELP HURRY PLEASE, THANKS! :)
Answer: [tex]\bold{b)\quad \dfrac{\pi}{2}+n\pi,\ \dfrac{\pi}{4}+2n\pi}[/tex]
Step-by-step explanation:
cos x tan x - cos x = 0
cos x (tan x - 1) = 0
cos x = 0 tan x - 1 = 0
[tex]x=\dfrac{\pi}{2},\ \dfrac{3\pi}{2}[/tex] tan x = 1
[tex]x=\dfrac{\pi}{4},\ \dfrac{5\pi}{4}[/tex]
Thanks! I hope my answer would be easy to understand.
a bricklayer needs to order 6 300kg of building sand write 6300kg in grams in standard form
Answer:
1,800,000
Step-by-step explanation:
6x300=1800 kilograms
1800x1000=1,800,000
Please answer this question fast in two second
Answer:
it could be angle DGF or CGA (they are both supplementary to angle CGD)
Step-by-step explanation:
What is the function below to find f(4) f(x)=1/3•4^x
Answer:
85.33333
Step-by-step explanation:
You would simply substitute 4 whenever there is an x.
f(4) = (1/3) * 4^4
= (1/3) * 16 * 16
= (1/3) * 256
= 256/3
= 85.3333333333333333333333333333333333333
which is about 85.3333, or 85 and 1/3, or 256/3.
Hope this helps!
A box contains 10 red , 3 blue, and 7 white balls , two balls are drawn at random from the box on after the other without replacement. What is the probability that both balls are of the same colour
Answer:
P(XX) = 69/190
Step-by-step explanation:
Given:
20 balls, 10R, 3B, 7W.
Two taken without replacement.
Find probability of two identical colours.
P(XX)
Solution:
We use the multiplication rule for the probability of each of the 2 draws
P(RR) = 10/20*9/19 = 90/380
P(BB) = 3/20*2/19 = 6/380
P(WW) = 7/20*6/19 = 42/380
Probability of drawing two identical coloured balls
P(XX) = (90+6+42)/380 = 138/380 = 69/190
Plssssssssssssss help me it’s due tomorrow I really need help I will mark brainliest!!!
Answer:
∠BAD = 100°
∠ADC = 105°
∠DCB = 50°
∠ABC = 105°
Step-by-step explanation:
∠BAD is given.
∠ADC is supplementary to the 75°, so it is 180-75 = 105°
∠DCB is 50° just like its opposite angle
The sum of all angles in a quadrilateral must be 360, so ∠ABC = 360-100-105-50 = 105.
your cell phone company started a rewards club . for every three texts sent, you get 15 points. you need 1800 points for a price. How many texts do you need to send to get that prize?
Answer:
360 texts
Step-by-step explanation:
You get 15 points for each 3 texts.
That means you get 5 points per text.
1800/5 = 360
Answer: You need to send 360 texts.
write an equation of the line that passes through (4,-6) and is parallel to the line y=-3x-9
Answer:
y - 7 = 3(x - 3)
y - 7 = 3x - 9
y = 3x - 2
Step-by-step explanation:
Hope this helped you!
What is g(x)?
O A. g(x) = -lxl
O B. g(x) = -X
O C. g(x) = -2^x
O D. g(x) = -x^2
Explanation:
The V shape implies we are dealing with absolute value. So the answer must be choice A as its the only function that has absolute value. The negative out front flips the parent function f(x) = |x| over the x axis. Normally |x| is always positive (assuming x is not zero), so -|x| is always negative for nonzero x values.
Extra info: an absolute value graph is a piecewise function of two separate linear functions. In this case, the left branch is y = x and the right branch is y = -x.
If Tanø =a/b Find the value of sinø+cosø/sinø-cosø
Answer:
[tex]\frac{b+a}{b-a}[/tex]
Step-by-step explanation:
Tan θ = [tex]\frac{perpendicular}{base}[/tex] = [tex]\frac{b}{a}[/tex]
So, Perpendicular = b, base = a
Finding hypotenuse by Pythagorean Theorem:
[tex]c^2 = a^2+b^2[/tex]
=> So, hypotenuse = c
Sin θ = [tex]\frac{perpendicular}{hypotenuse}= \frac{b}{c}[/tex]
Cos θ = [tex]\frac{base}{hypotenuse}= \frac{a}{c}[/tex]
So, Now finding [tex]\frac{sin\theta+cos\theta}{sin\theta-cos\theta}[/tex]
=> [tex]\frac{b}{c} + \frac{a}{c}[/tex] ÷ [tex]\frac{b}{c} - \frac{a}{c}[/tex]
=> [tex]\frac{b+a}{c}[/tex] ÷ [tex]\frac{b-a}{c}[/tex]
=> [tex]\frac{b+a}{c} * \frac{c}{b-a}[/tex]
=> [tex]\frac{b+a}{b-a}[/tex]
Which of the following is a solution to the system of nonlinear equations below?
Answer:
the solution to the system of nonlinear equations is C. (0,3)
What's the correct answer to this? Having some trouble
Answer:
D
Step-by-step explanation:
10 dimes = 1.00
3 nickels =15 cent
Answer:
B. 5 nickles and 9 dimes
Step-by-step explanation:
For this problem, the answer needs to both be equivalent to $1.15 and have a total of 14 nickels and dimes.
B is the only answer choice that has a total of 14 nickels and dimes and is equivalent to $1.15:
9 nickels+5 dimes=total of 14 coins while 5 nickels (25 cents) and 9 dimes (90 cents) is equivalent to $1.15.