Answer:
x = 7
Step-by-step explanation:
[tex]\frac{3x-1}{5}[/tex] - [tex]\frac{x}{7}[/tex] = 3
Multiply through by 35 ( the LCM of 5 and 7 ) to clear the fractions
7(3x - 1) - 5x = 105 ← distribute parenthesis and simplify left side
21x - 7 - 5x = 105
16x - 7 = 105 ( add 7 to both sides )
16x = 112 ( divide both sides by 16 )
x = 7
To verify the answer substitute x = 7 into the left side of the equation and if equal to the right side then it is the solution
[tex]\frac{3(7)-1}{5}[/tex] - [tex]\frac{7}{7}[/tex]
= [tex]\frac{21-1}{5}[/tex] - 1
= [tex]\frac{20}{5}[/tex] - 1
= 4 - 1
= 3 = right side
Then x = 7 is the solution to the equation
Find the area of each figure
Answer:
17.5
Step-by-step explanation:
7*5/2
Hi!! So I am doing test corrections for a test that I did bad on but I need to know what is the equation for this??
Answer:
u can use fraction calculator
Step-by-step explanation:
just go and search 'fraction calculator'
Here are the graphs of L(x) and R(x) what are the values of L(2) and R(2)
Using the function graph given, it is found that:
L(2) = 7.R(2) = 1.When a piece-wise function is given, that is, a function that has multiple definitions, the numeric value at x when the definition changes is given by the closed circle.
For function L(x), when x = 2, the closed circle is at y = 7, hence, L(2) = 7.For function R(x), when x = 2, the closed circle is at y = 1, hence, R(2) = 1.To learn more about the use of graphs to analyze a function, you can take a look at https://brainly.com/question/21447009
HELPPPPPPPPPPPPPppPPPPPPPPPPpppp
Q4
An ice cube measures 2 cm by 2 cm by 2 cm.
A)What is its volume?
B) Is there enough room in a container measuring
8 cm by 12 cm by 10 cm for 100 ice cubes?
Answer:
A. [tex]8cm^{3}[/tex] B. Yes
Step-by-step explanation:
2*2*2=8cm cubed
8*12*10=960 which is greater than 800
Answer:
Step-by-step explanation:
2 x 2 x 2 = 8
the volume is 8 cm^3
8 x 12 x 10 = 960 cm^3
8 / 2 = 4
12 / 2 = 6
10 / 2 = 5
4 x 6 x 5 = 120
you can fit up to 120 cubes into the container
find three consecutive numbers if their sum is 3n
Answer:
n-1,n,n+1
Step-by-step explanation:
let the numbers be x,x+1,x+2
x+x+1+x+2=3n
3x+3=3n
3x=3n-3
x=1/3 (3n-3)=n-1
so mumbers are n-1,n,n+1
The three consecutive numbers are n-1, n, and n+1.
We have to determine, the three consecutive numbers if their sum is 3n.
According to the question,
The consecutive number series can be even as well as odd depending on the first term of the series and the difference between the numbers.
Let, the three consecutive numbers be x, x+1, and x+2.
The sum of three consecutive numbers is equal to 33.
[tex]\rm x + x+1+x+2=3n\\\\3x+3 = 3n \\\\Divided \ by \ 3 \ on \ both \ the \ sides \\\\x +1 = n\\\\x = n-1[/tex]
Therefore,
The first consecutive number is,
[tex]\rm x = n-1[/tex]
The second consecutive number is,
[tex]\rm x+1 = n-1+1 = n\\[/tex]
The third consecutive number is,
[tex]\rm x+2= n-1+2 = n+1\\[/tex]
Hence, The three consecutive numbers are n-1, n, and n+1.
For more details refer to the link given below.
https://brainly.com/question/16048559
What is the value of X?
Answer: It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable
The sum of twice a number and 5 is 25
Answer:
If the directions say write an equation: 2n + 5 =25
If the directions say also to solve the equation and find the number: 10
Step-by-step explanation:
"The sum" means we're using adding. So what things are we adding together? The question says "twice a number" and 5. Well we've got the 5. And "twice" means two times. And "a number" means we don't know the number yet, so we choose a variable, like n.
"Twice a number" can be written 2n.
So far we have:
2n + 5 is 25
We use = for the "is" in this sentence.
2n + 5 = 25
Now we can solve it.
Subtract 5 from both sides.
2n = 20
Divide by 2 on both sides.
2n/2 = 20/2
n = 10
The number is 10.
helppp meeee and answer pleaseeeeeeee
Answer:
13.6 and .4
Step-by-step explanation:
3.4x4=13.6
leaving .4 left
Answer:
4 and 2 berries left over.
Step-by-step explanation:
14 divided by 3 = 4
4x3=12
14-12=2
i don't know the answer to log4(x+6)=2
Answer:
10
Step-by-step explanation:
log4(x+6)=2
x+6=4²
x=4²-6
x=10
Answer:
[tex]x=10[/tex]
Step-by-step explanation:
[tex]log_4(x+6)=2[/tex]
[tex]4^{log_4(x+6)}=4^2[/tex]
[tex]x+6=16[/tex]
[tex]x=10[/tex]
Remember that logarithmic functions are the inverses of exponential functions. Therefore, we raise the base of the logarithm to the logarithm to undo the operation.
Which of the following is not true about the mean of a set of data?
The mean can be less than the minimum data value.
The mean can be the same value as the median.
The mean can be different from all the data values.
The mean can be one of the data values.
Answer:
i think the answer is -> "the mean can be less than the minimum data value."
Step-by-step explanation:
mean means the average and by finding the average you need to add up all your set values then divide it, so with that being said the mean will always need to be higher than the lowest data set of value.
please help with this
Answer:
[tex]y = \frac{1}{8} x - 3[/tex]
Step-by-step explanation:
Formula for straight lines:
[tex]y = mx + b[/tex]
where m = slope, b = constant
Given:
y-intercept = -3 (0, -3)
m = ⅛
Substitute into formula to find b.
[tex] - 3 = \frac{1}{8} (0) + b \\ - 3 = 0 + b \\ b = - 3[/tex]
Substitute b into original formula
[tex]y = mx + b \\ y = \frac{1}{8} x + ( - 3) \\ y = \frac{1}{8} x - 3[/tex]
Which equation choice could represent the graph shown below?
Please write a equation for this table
Answer:
y = 5x +2
Step-by-step explanation:
The point (0, 2) tells us the y-intercept is 2.
If we translate the table down 2 units by subtracting 2 from every y-value, it becomes ...
6, 30
-2, -10
0, 0
10, 50
We notice these values are all related by a factor of 5 (they are proportional). That means the equation will be a straight line with slope 5 and y-intercept 2.
y = 5x +2
If 2 of the triangle sides are 8 m and one side is 6 m what kind of triangle is it
Answer:
An isosceles triangle has two side lengths the same and one different.
Step-by-step explanation:
Given that £1=$1.62
How much is £650 in $?
How much is $405 in £?
Answer:
£650=$1053
£405=$656.1
from the scale we multiply the values of euro by 1.62
Answer:
1.) 401 dollars
2.)656 euros
A bowl is in the shape of a hemisphere (half a sphere) with a diameter of 8 inches. Find the volume of the bowl. Use 3.14 for pi.
Answer: 267.947 (or 267.95) inches^3
Step-by-step explanation:
The formula for the volume of a sphere is [tex]\frac{4}{3}\pi r^{3}[/tex].
To find your radius (r), divide the diameter of 8 inches by 2. The radius is 4 inches.
Plug in your numbers to the volume equation to get [tex]\frac{4}{3} (3.14)(4^3)[/tex]. The first step is to cube 4 (4*4*4) to get 64. Now your equation is [tex]\frac{4}{3}(3.14)(64)[/tex].
Multiply 3.14 and 64 to get 200.96. The equation is now [tex]\frac{4}{3}(200.96)[/tex] or [tex]\frac{4}{3} * \frac{200.96}{1}[/tex].
Multiply the numerators (4 * 200.96) and denominators (1 * 3) to get a final equation of [tex]\frac{803.84}{3}[/tex].
Finally, divide 803.84 by 3 to get the final answer of 267.947 in^3.
HELP ME PLEASEEEE
6(p+2.25)=15 9/10 DUE RIGHT NOWWWW
Answer:
p=2/5
p=0.4
Step-by-step explanation:
Answer:
p=2/5
Step-by-step explanation:
6p+13.5=159/10
Write the equation of a line that is perpendicular y=-2 And that passes through the point (8,-4)
Answer:
y=1/2-8
Step-by-step explanation:
slope is 1/2
-4-y=1/2(8-x)
-4-y=4-1/2
-y=-1/2+8
y=1/2-8
HELP FAST!!!! A parking garage charges $5 for the first hour, $10 for up to two hours, and $12 for the entire day. Let G be the dollar cost of parking for t hours. Is t a function of G? Explain your reasoning.
Answer:
27
Step-by-step explanation:
just do 5+10+12
May someone help me please!
Answer: i got you my boi answer is x > -3
Step-by-step explanation:
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Find the sum of 32 2/9+ 23 4/9
Answer:
The answer is 55 6/9, but when simplified, it is 55 1/3
What is the slope of the line passing through(-7, 8) (-8, 8) is?
Answer:
Step-by-step explanation:
(-7, 8) (-8, 8)
(y2 - y1) / (x2 - x1)
(8 - 8) / (-8 + 7)
0 / -1
the slope is 0
you could also see this because the y value doesn't change
if the y value doesn't change the slope is 0, if the x value doesn't change the slope is undefined
Answer:
slope = 0
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 7, 8 ) and (x₂, y₂ ) = (- 8, 8 )
m = [tex]\frac{8-8}{-8-(-7)}[/tex] = [tex]\frac{0}{-8+7}[/tex] = [tex]\frac{0}{-1}[/tex] = 0
please answer i have finals this coming week and i need to get my grade up
Answer:
first line for you graph would be from 5 to 5 and the second line is -4 to 2
Step-by-step explanation:
hope this is what you needed:)
I need help with the answer to this question.
9 - 3 divided by 1/3 + 1 = ?
Will give the ranking thing to best explanation.
(sry I don’t know the name of what the ranking is called)
19
Explanation:
9-3=6
(Check your work)
3+6=9
__________________________________
6÷1/3=18
(Check your work)
(6×3=18)
__________________________________
18+1=19
Therefore,
the answer is 19!
A bird leaves its nest and travels 20 miles per hour downwind for x hours. On the return trip, the bird travels 4 miles per hour slower and has 6 miles left after x hours.
a. What is the distance of the entire trip?
miles
b. How long does the entire trip take?
hours
minutes and
seconds
Answer:
The correct answers are:
A) 60 miles; and B) 3.375 hours.
Explanation:
We will use the equation d = rt for this.
For the first leg of the trip, the bird travels 20 miles per hour for x hours. This gives us the equation
d = 20x
For the return trip, the bird travels 4 miles per hour slower, so 20-4 = 16 miles per hour. He also travels 6 miles less than the return distance, for x hours:
d-6 = 16x
To isolate d, we will add 6 to each side:
d-6+6 = 16x+6
d = 16x+6
We will set the two equations equal to one another, since they both equal d:
20x = 16x+6
Subtract 16x from each side:
20x-16x = 16x+6-16x
4x = 6
Divide both sides by 4:
4x/4 = 6/4
x = 1.5
He travels for 1.5 hours both times.
The first time, 1.5 hours at 20 miles per hour is:
d = 1.5(20) = 30 miles
The original trip is 30 miles. This makes the entire trip 30(2) = 60 miles.
On the return trip, he travels 30-6 = 24 miles at 16 miles per hour:
24 = 16x
Divide both sides by 16:
24/16 = 16x/16
1.5 = x
If he goes 24 miles in 1.5 hours at 16 miles per hour, we can use a proportion to find the time it takes for the entire return trip:
24/1.5 = 30/x
Cross multiplying,
24*x = 1.5(30)
24x = 45
24x/24 = 45/24
x = 1.875
This gives him a total time of 1.5+1.875 = 3.375 hours
Step-by-step explanation:
All the numbers round to 7 except
6.61
7.89
6.58
7.37
Given: triangle JKN J (3,1), K (5,2), N (1,5)
(all 3 need separate answers)
a) find the coordinates of the centroid.
b) find the coordinates of the orthocenter.
c) find the coordinates of the circumcenter and length of radius of circumscribed circle.
Answer:
Let the radius of the circumscribed circle be r.
The formula for calculating the radius r is
r
=
Δ
s
Where
Δ
is the area of the triangle
s
is the semi-perimeter.
s
for any triangle is calculated as
s
=
a
+
b
+
c
3
Where,
a
,
b
,
c
is the sides of the triangle
Δ
=
√
s
(
s
−
a
)
(
s
−
b
)
(
s
−
c
)
(Heron's Formula)
Plug in the values and get the answer.
Once you have the radius, you can easily find out the area of the circle.
Step-by-step explanation:
Evaluate the expression for the given value of x.
0.6x + 6.2 for x = -1
The solution is
Answer:
5.6
Step-by-step explanation:
if x is -1. multiply -0.6 * -1. Which is -0.6.
Then add -0.6 and 6.2 and the answer you would get is 5.6.
Sheila has 11
1
2
pounds of potato salad. She wants to divide the potato salad into containers, each of which holds 1
1
4
pounds. How many containers does she need? Complete the explanation.
Containers are counted in
mixed
numbers, so she will need containers.
Answer:
She will need 10 containers
Step-by-step explanation:
Using long division and converting both solutions to decimals we can use the equation 11.50 divided by 1.25. This will equal 9.20, we then know that she would need 9 containers but we would still have a remainder of .20 so in total to fit everything she would need 10.
I hope this helps have a great day :)