Answer: 31
Step-by-step explanation:
Order of Operations: PEMDAS
Multiplication comes first so you do −2⋅3 which equals -6
Then you can add 5 to -6,
or subtract -6 from 32.
Find the area of a triangle if the base is 8.2m and the height is 4.6m.
In order to find an area of a triangle we have to multiply the base by the height.
8.2*4.6=?
So now all we have to do is multiply to find our answer of 37.72!
The lenngths of the sides of the triangle are in the extended ratio 8:9:10. The primeter of the triangle is 108 cm.What are the lengths of the sides?
The lengths of the sides of the triangle in cm are____?
Answer:
The lengths of the sides of the triangle in cm are 32 cm, 36 cm and 40 cm
Step-by-step explanation:
The lengths of side of the triangle are in ratio 8:9:10
Perimeter of triangle = 108 cm
We need to find length of sides of triangles.
The formula used is: [tex]Perimeter \ of \ triangle = Sum \ of \ all \ sides \ of \ triangle\\[/tex]
The length of side of triangle can be expressed as:
First side= 8x
Second Side =9x
Third Side=10x
So, finding x and then calculate length of each side
[tex]Perimeter \ of \ triangle = Sum \ of \ all \ sides \ of \ triangle\\\\108=8x+9x+10x\\108=27x\\x=\frac{108}{27}\\x=4[/tex]
So, value of x = 4
The length of sides of triangle will be found by putting value of x at each side.
First side= 8x = 8*4 = 32 cm
Second Side =9x= 9*4= 36 cm
Third Side=10x = 10*4=40 cm
So, The lengths of the sides of the triangle in cm are 32 cm, 36 cm and 40 cm
PLS HELP ME I NEED THIS FASTTT ON SHOW ALL YOUR WORK
List the values for a, b and c in the following quadratic equation.
3x^2 + 6x = 7
Use your preferred method to solve the following quadratic equation for n. Please show ALL work to receive credit.
6n^2-18n -18=6
Use your preferred method to solve the following quadratic equation for n. Please show ALL work to receive credit.
x^2 + 8x = 10
Answer:
I tried my best so I hope this helps :)
(look at the screenshots for the work I don't feel like typing it out)
Step-by-step explanation:
1.) the solution is [tex]x=\frac{-3+\sqrt{30}}{3}\\[/tex], [tex]x=-\frac{3+\sqrt{30}}{3}[/tex]
2.) the solution is [tex]n=4,\:n=-1[/tex]
3.) the solution is [tex]x=-4+\sqrt{26},\:x=-4-\sqrt{26}[/tex]
Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations.
what is x for 4(x+2) = 16 ?
Answer:
x=2
Step-by-step explanation:
4(x+2) = 16
Divide each side by 4
4/4(x+2) = 16/4
x+2 = 4
Subtract 2 from each side
x+2-2 =4-2
x =2
Answer:
x is 2
Step-by-step explanation:
parenthesis first ok ... 2 plus 2 is 4 ok?
and then 4 times 4 is 16 and the numbers haveta equal 16 so there u go mate x equals 2 yall
hope this helps
have a great day
im brooke btw
Jordan is using a number line to model the division expression Negative 24 divided by 12. What should be a step in his work?
Answer:
-24/12= -2
Step-by-step explanation:
Answer:
Its B
Step-by-step explanation:
If I'm wrong please tell me
Define and give examples of x-intercept
Answer:
Definition: The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.
Example: From the graph, describe the x and y-intercepts using point notation. The graph crosses the x-axis at x = 1 and x = 3, therefore, we can write the x-intercepts as points (1,0) and (–3, 0). Similarly, the graph crosses the y-axis at y = 3. Its y-intercept can be written as the point (0,3).
2. Write an algebraic expression for the total number of minutes in h hours and 20 minutes.
3. Write an algebraic expression for the total number of hours in 2 hours and x minutes.
4. Write an algebraic expression for the total number of hours in y hours and 45 minutes.
Answer:
The expressions are:
2. [tex]60h+20\ minutes[/tex]
3. [tex]2+\frac{x}{60}\ hours[/tex]
4. [tex]y+0.75\ hours[/tex]
Step-by-step explanation:
The given expressions have to be converted into algebraic expressions.
So,
2. Write an algebraic expression for the total number of minutes in h hours and 20 minutes.
Here,
h is a variable that can have any value but the 20 minutes will remain same with any number of hours.
If h is for hour, the number of minutes in h hours will be: [tex]60*h = 60h[/tex]
And there are also 20 minutes so the algebraic expression is:
[tex]60h+20\ minutes[/tex]
3. Write an algebraic expression for the total number of hours in 2 hours and x minutes.
In order to convert minutes into hour, the minutes are divided by 60
So converting x minutes into hour means
[tex]x\ minutes = \frac{x}{60}\ hours[/tex]
There are 2 hours already so the expression will be:
[tex]2+\frac{x}{60}\ hours[/tex]
4. Write an algebraic expression for the total number of hours in y hours and 45 minutes.
Converting 45 minutes to hours by dividing by 60
[tex]45\ minutes = \frac{45}{60}\ hours = 0.75\ hours[/tex]
The expression is:
[tex]y+0.75\ hours[/tex]
Hence,
The expressions are:
2. [tex]60h+20\ minutes[/tex]
3. [tex]2+\frac{x}{60}\ hours[/tex]
4. [tex]y+0.75\ hours[/tex]
Line g has a slope of–7/3. Line
h is parallel to line g. What
is the slope of line
h?
Answer:
-7/3
Step-by-step explanation:
Since the lines are parallel, the slopes would have to be the same
x = 7 - 2y
2x + y = 5
A boat can travel at an average speed of 10 miles per hour in still water. Traveling with the current, it can travel 6 miles in the same amount of time it takes to travel 4 miles upstream....Use the ratio T= D/R to construct a rational equation that can be solved for x to find the speed of the current..... Whats the answer? Please answer as soon as possible...
Answer: The speed of the current is 2 miles per hour.
Step-by-step explanation:
We know that the speed of the boat is:
S = 10 mph.
When the boat travels with the current, the speed will be:
S = 10mph + x
where x = speed of the current.
When the boat travels against the current, the speed will be:
S = 10mph - x
Now, for a given amount of time T, when the boat travels with the current, it moves a distance of 6 miles.
Then we have the equation:
(10mph + x)*T = 6mi
And against the current, in the same time the boat moves 4 mi, then:
(10 mph - x)*T = 4mi
Then we have the system of equations:
(10mph + x)*T = 6mi
(10 mph - x)*T = 4mi
Now, we can take the quotient of these two equations and get:
((10mph + x)*T)/((10 mph - x)*T) = (6mi/4mi)
(10mph + x)/(10 mph - x) = 3/2
Now we can solve this for x.
(10mph + x) = (3/2)*(10 mph - x)
10mph + x = (3/2)*10mph - (3/2)*x
x + (3/2)*x = (3/2)*10mph - 10mph
(5/2)*x = (1/2)*10mph = 5mph
x = (2/5)*5mph = 2mph.
The speed of the current is 2 miles per hour.
Answer:
[tex]\frac{6}{10+6}=\frac{4}{10-x}[/tex]
Step-by-step explanation:
For plato
The school track is 7/8 of a mile in length. Den ran 1/4 of a mile. How much more will he need to run to go all the way around the track?
Answer:
5/8
Step-by-step explanation:
1/4=2/8
7/8-2/8=5/8
E
(5x + 9)
(30-3x)
A
Find the value of angle DFE
Angle BFC=Angle DFA=Angle EFA + Angle DFE
Solve for x, then use substitution for 27+2x
5x+9=30-3x+27+2x
Everything is on the picture
9514 1404 393
Answer:
43°
Step-by-step explanation:
Following the instructions is generally useful.
5x +9 = 30 -3x +27 +2x
6x = 48 . . . . add x-9
x = 8 . . . . . . .divide by 6
27 +2x = 27 +2(8) = 43 . . . . substitute into the expression for angle DFE
angle DFE = 43°
will give brainliest
Answer:
p and q are parallel to each other and l, m, and n are all parallel
Step-by-step explanation:
because it tells us they make right angles we know all the lines are going straight therefor they will not intersect with each other
consider function g.
which function could be the inverse of function g?
A.
B.
C.
D.
Answer:
D
Step-by-step explanation:
Here, we want to select which of the options that could actually be the inverse of function g
The function that could actually be an inverse is that function in which we have a reversal of values
What we mean in this case is that the x values take up the f(x) values while the f(x) values take up the x values
With respect to this question, the option that fits this description is;
Option D
Answer: For Plato users
Step-by-step explanation:
The correct answer is B .
Just flip the x and y
help me plz
One equation with distributive property
e.) 3(x + 8) = 30
Answer:
x=2
hope it helps !!
Step-by-step explanation:
Write an equation for the line in slope- intercept form. 2. Х -4 -2 o 2 4. -2 4
Answer:
y= -2x-3
Step-by-step explanation:
this is because the y intercept is at negative 3 and the rise over run is down 1 over 2
When combining like terms how do you know to add or subtract?
Answer:
It’s depends on the sign.
Step-by-step explanation:
For example if your question is 3x+16y-8-7x+8y then the answer would be -4x+24y-8 if they have the same variable look at them as a separate equation.
Answer:
"Like Terms" means that you can add or subtract two terms. For instance, you know that you can add and get 5. You were able to add these two 'terms' ( the '2' and the '3') because they are both numbers! However, you might also know that you cannot 'combine' 2 and x. Since 2 is a number and 'x' is not, they are not like terms.
Basically if its two numbers that are the same, For example (-2x and -4x) and have with the same variables you would add them. If they are like this (5x and -2x) you would subtract them because its a negative and positive number and get ( 3x).
Hope i helped!!!!
Evaluate the function when x = 5: h(x) = 3x + 5
Answer:
h(x)=20
Step-by-step explanation:
x=5
3(5)+5
15+5
20
Hope this helps!
Answer:20
Step-by-step explanation:
Hello!
So first you want to plug in 5 to all of the x
h(5) = 3(5) + 5
No you want to do 3(5)
3(5) = 15
h(5) = 15 + 5
Now you add 15 + 5
15 + 5 = 20
h(5) = 20
So your answer is 20
Please do quick
Estimate the amount of the tip by rounding the bill to the nearest dollar before calculating.
20% tip on a bill of $59.82
Answer:
$12
Explanation: 60 x .2= 12 + 60= $72
what is the product of (3a2b7)(5a3b8)
Answer:
5040a^2b^2
Step-by-step explanation:
(3a2b7)(5a3b8)
(42ab)(120ab) multiply everything inside each parenthensis
42ab * 12ab remove parenthesis
5040a^2b^2 multiply
find the slope (m) and y -intercept (b) of the equation in standar form 2x-3y=6
Answer:
m = [tex]\frac{2}{3}[/tex] , b = - 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept )
Given
2x - 3y = 6 ( subtract 2x from both sides )
- 3y = - 2x + 6 ( divide all terms by - 3 )
y = [tex]\frac{2}{3}[/tex] x - 2 ← in slope- intercept form
with slope m = [tex]\frac{2}{3}[/tex] and y- intercept b = - 2
Answer:
y- intercept is (0, -2)
slope is 2/3
Step-by-step explanation:
find 2 points on the line:
2x-3y=6
1/2*(6+3y) =x
if y is 2, x is 6 ((6,2))
if y is 4, x is 9 ((9, 4))
y-intercept is when x = 0.
0-3y=6
y=-2
slope is (y2-y1)/(x2-x1): choose y2 and the corresponding x-coordinate is x2. then the others are the 1's. let's use 4 as y2 which means:
x2 = 9
x1 = 6
y1 = 2
then plug in and solve.
(4-2)/(9-6)
= 2/3
m = 2/3
Hope this helps!
Use the function f (x) = 2x^2 – 5.
(Look at picture)
Answer:
C
Step-by-step explanation:
By the definition of an inverse function, if:
[tex]f(a)=b\text{ then } f^{-1}(b)=a[/tex]
Therefore, the domain of the original function will be the range of the inverse function.
And the range of the original function will be the domain of the inverse function.
We have the original function:
[tex]f(x)=2x^2-5[/tex]
With the domain:
[tex]-\infty<x<\infty[/tex]
Since the domain of the original function is such, then the range of the inverse function is also the same as above.
So, the range of the inverse function is also:
[tex]-\infty< f^{-1}(x)< \infty[/tex]
So, our answer is
C.
Notes:
A, B, and E would automatically be incorrect since we never use ”or equal to” when using the infinity symbol. This is because we can never “equal” infinity.
WILL GIVE BRAINLIEST!!!!!!!!!
Use the value of y (y=4) for part b to correctly find the measures of AX and BD and list each step for each.
Use the figure below:
Answer:
So BD= 2*(y+4) -> 2*(4+4) = 16
and AX is the same lenght as BX so: AX = y+4 -> 4+4 = 8
Step-by-step explanation:
hope that helped
Describe the proses for calculating the volume of a cone; use complete sentences.
Plz help it’s due soon I made it extra points
Answer:
the answer is D
Step-by-step explanation:
It shows both numbers of the graph.
M(-2,0), and N(-1, 2)
Now helpp!
Practice dividing with decimals.
Assignment
Divide: 83.5 + 6.25
The first step in solving 83.5 = 6.25 is to multiply the divisor and dividend by
The new division problem is
Step-by-step explanation:
Multiply both by 100 (same number of 0s as the most decimals places in either of the starting numbers.)
so you get 8350/625
then it's normal from there
What is the slope of a line that connects points (5,8) and (10,12)
Answer:
4/5
Step-by-step explanation:
12-8=4
10-5=5
4/5 is the slope
Write the sentence as an inequality: Sixteen is no more than the product of 4 and x
Your sentence:
16 < 4x
what is x in 9x + 89 = 161
Answer:
The answer is x=8
Step-by-step explanation:
hope that helps
9x+89=161
9x+89−89=161−89
9x=72
9x/9=72/9
x=8
Answer:
x = 8
Step-by-step explanation:
We just need to solve for x!
Here is a step-by-step process:
9x + 89 = 161
Subtract 89 from both sides
9x = 72
Divide both sides by 9
x = 8
NEED HELP ASAP PLEASE WILL GIVE BRAINLIEST
Review the diagram.
On a coordinate plane, a rectangle sits on the x-axis. A horizontal vector is 30 degrees from a vector labeled 40 pounds, and is 45 degrees from a vector labeled 35 pounds.
Two students are pulling an object with ropes. One student pulls with a force of 40 pounds at an angle of 30° above the ground, and the other student pulls with a force of 35 pounds at an angle 45° above the ground. What is the direction of the resultant force?
approximately 37.33° above the ground
approximately 42.27° above the ground
approximately 47.73° above the ground
approximately 53.13° above the ground
Answer: A. approximately 37.33° above the ground
Step-by-step explanation:
edge2020
The correct solution to the problem is that the direction of the resultant force will be approximately 37.33° from the horizontal above the ground.
What is Vector and how do we do component of a Vector ?In a coordinate plane there are two axis one is x axis and the second one is y axis.If a vector is lying in the coordinate plane then no matter what is its direction, we can always divide it in two components which are x component and y component for easier calculations.If the magnitude of the vector is R, then the magnitude of the X component along x axis will be R cos θ and the magnitude of the Y component along y axis will be R sin θ.We can find the final resultant magnitude and direction of the vector from the components by adding the the components.How to solve this question ?For 30° Vector of 40 pounds :-
If we divide it in components it will become
40 cos 30° Î + 40 sin 30° Ĵ
40 × ( √3 / 2 ) Î + 40 × ( 1 / 2 ) Ĵ
34.64 Î + 20 Ĵ ( approximately )
For 45° Vector of 35 pounds :-
If we divide it in components it will become
35 cos 45° Î + 35 sin 45° Ĵ
35 × ( 1 / √2 ) Î + 35 × ( 1 / √2 ) Ĵ
24.75 Î + 24.75 Ĵ ( approximately )
Now adding both vectors
( 24.75 + 34.64 ) Î + ( 24.75 + 20 ) Ĵ ( approximately )
59.39 Î + 44.74 Ĵ ( approximately )
Now Using formula of Tan θ to find the value of θ
( Tan θ = Perpendicular / Base )
Tan θ = 44.74 / 59.39
Tan θ = 0.75 ( approximately )
θ = Tan⁻¹ (0.75) ( approximately )
θ = 36.87° ( approximately )
We are calculated the value of θ as 36.87° which is approximate value as we used a lot of approximations while calculating and, the closest option given is 37.33° which is again an approximate value.
So we can say that the correct answer to this problem is The direction of the resultant force will be approximately 37.33° from the horizontal above the ground.
Learn more about Vectors here:
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