Answer:
3m-8n
Step-by-step explanation:
Set up an equation:
(5m-3n)-(2m+5n) = ?
Solve:
5m-3n
- 2m+5n
3m-8n
Hope this helps!
A student can walk to school in 3/4 of an hour. She can ride to school in 1/6 of that time. What fraction of an hour does it take the student to bike to school?
Answer:
It takes 1/8 of an hour for the student to bike to school.
Step-by-step explanation:
We want to find 1/6 of 3/4, as that is how long it takes her to ride to school. When taking one fraction of another, we can multiply them. We can apply this to get
1/6 * 3/4 = 3/24 = 1/8. This means that it takes 1/8 of an hour for the student to bike to school.
Question 8: Find the equation of the straight line that:
(a) has a gradient of 4 and passes through the point (1, 10)
Answer:
[tex]y=4x+6[/tex]
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope (also called the gradient) and b is the y-intercept (the value of y when x is 0)
1) Plug the gradient into the equation (b)
[tex]y=mx+b[/tex]
We're given that the gradient of the line is 4. Plug this into [tex]y=mx+b[/tex] as m:
[tex]y=4x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=4x+b[/tex]
Plug in the given point (1,10) as (x,y) and solve for b
[tex]10=4(1)+b\\10=4+b[/tex]
Subtract 4 from both sides to isolate b
[tex]10-4=4+b-4\\6=b[/tex]
Therefore, the y-intercept of the line is 6. Plug this back into [tex]y=4x+b[/tex] as b:
[tex]y=4x+6[/tex]
I hope this helps!
answer = y = 4x + 6
y = mx + b
gradient = slope = m = 4
(1,10) = (x,y)
plug in the values
10 = 4 (1) + b
10 = 4 + b
b = 6
y = 4x + 6
A train travels from station P to station Q at a speed of 90km/h in 3hours 40minutes.The train stops at station Q for 25minutes before returns to station P.The time taken from station P to station Q.Calculate the average speed,in km/h,of the whole journey of the train
Answer:
48km hr this is the answer in your question.
Finish solving the system of equations –9.5x – 2.5y = –4.3 and 7x + 2.5y = 0.8 using the linear combination method.
1. Determine which variable will be eliminated: y will be eliminated because –2.5y and 2.5y are opposite terms.
2. Add the equations together to create a one-variable linear equation: –2.5x = –3.5
3. Solve to determine the unknown variable in the equation: x = 1.4
4. Substitute the value of the variable into either original equation to solve for the other variable.
The solution to the system is (
9514 1404 393
Answer:
(x, y) = (1.4, -3.6)
Step-by-step explanation:
4. We choose to substitute into the second equation because it has positive coefficients.
7(1.4) +2.5y = 0.8
9.8 +2.5y = 0.8 . . . . simplify
2.5y = -9.0 . . . . . . . subtract 9.8
y = -3.6 . . . . . . . . . . divide by 2.5
The solution to the system is (x, y) = (1.4, -3.6)
Using the approximation of 5 miles = 8 km
How many km is 12.5 miles?
Answer:
20km is in 12.5miles
Step-by-step explanation:
5miles= 8km
12.5miles=xkm
12.5÷5miles=2.5miles
2.5miles/km
2.5×8km=20km
PLEASE HELP URGENT!!!!
The following table shows the estimated populations and annual growth rates for four countries in the year 2000. Find the expected population of each country in 2025, assuming their annual growth rates remain steady.
Answer:
Australia will have about 27 million
China will have about 1.41 billion
Mexico will have 133.35 million
Zaire will have about 100.9 million
Australia 2000 19,169,200 multiply your growth rate by 2 then divide it by your population your growth rate
China 1.2 billion in 2000 multiply your growth rate by 2 then divide it by your population your growth rate
Same for Mexico
and Zaire
Find the coordinates of the other endpoint when given midpoint (point M) and one of the endpoints (point P). P=(3,5) and M=(-2,0)
Answer:
About Points
S = (x,y) searched point (it will be in the third quadrant )
M = (-2,0) Midpoint | SP |
P = (3,5) one end of the segment | SP |
You have to draw Cartesian.
we set in a point M and P. We both points by a simple and we extend it for the third quarter of the system. Compass measure the distance from the point M to the point P. From the point M we set a compass point S. Figure attached. Received point S = ( -7 , -5 ) . It sought a point that calculate .
We use the information that | SM | = | MP |
Answer : S = (-7,-5)
Step-by-step explanation:
[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ P(\stackrel{x_1}{3}~,~\stackrel{y_1}{5})\qquad \underline{Q}(\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{x+3}{2}~~,~~\cfrac{y+3}{2} \right)=\stackrel{M}{(-2,0)}\implies \begin{cases} \cfrac{x+3}{2}=-2\\[1em] x+3=-4\\ \boxed{x = -7}\\[-0.5em] \hrulefill\\ \cfrac{y+3}{2}=0\\[1em] y+3=0\\ \boxed{y=-3} \end{cases}[/tex]
Question 6(Multiple Choice Worth 1 points)
(01.02 MC)
Solve the equation 4(2x + 1) = 6x - 12.
o
13
X=-
2
Ox= -8
O x = 8
ex="
11
2
Answer:
4(2x+1)=6x-128x+4=6x-128x-6x=-12-42x=-16x=16÷2 x=4How would I write this equation? Looking for an answer ASAP.
Answer:
dssadsasdsa
Step-by-step explanation:
ignore this need points for alt
Find the equation of the line through the points (6, -9) and (-2, -1).
Please help me!
Look at this diagram.
Answer:
if you look at carefully the left triangle has two same side. so left-angle of C is 180-130=50 degree 5x+5x+50=180 x=13 degree
Step-by-step explanation:
for right triangle again one angle is 50 degree and other is 6*13-(3)=75 degree so 75+50+(10y+5)=180 degree y=5 degree
Answer:
[tex]x=13\text{ and } y=5[/tex]
Step-by-step explanation:
First, notice that ∠BCD and ∠DCE form a linear pair. Linear pairs sum to 180°. Therefore:
[tex]m\angle BCD + m\angle DCE = 180[/tex]
And since we know that ∠BCD measures 130°:
[tex]m\angle DCE = 180-130=50^\circ[/tex]
And since ∠DCE and ∠BCA are vertical angles:
[tex]\displaystyle \angle DCE \cong \angle BCA[/tex]
Therefore, by definition:
[tex]m\angle DCE = m\angle BCA = 50^\circ[/tex]
Looking at the left triangle, we can see that BC and AC both have one tick mark. This means that they are congruent. Therefore, ΔABC is an isosceles triangle. The two base angles of an isosceles triangle are congruent. Hence:
[tex]m\angle A = m\angle B[/tex]
The interior angles of a triangle must total 180°. So:
[tex]m\angle A + m\angle B +m\angle BCA = 180[/tex]
Substitute in known values:
[tex]m\angle A + m\angle A+ (50)=180[/tex]
Simplify:
[tex]2m\angle A=130[/tex]
Divide both sides by two:
[tex]m\angle A = 65[/tex]
Substitute:
[tex](5x)=65[/tex]
Therefore:
[tex]x=13[/tex]
Similarly, for the triangle on the right, we can write that:
[tex]m\angle D + m\angle E + m\angle DCE = 180[/tex]
Substitute:
[tex](10y+5)+(6x-3)+(50)=180[/tex]
Combine like terms:
[tex]10y+6x+52=180[/tex]
Since we determined that x = 13:
[tex]10y+6(13)+52=180[/tex]
Simplify:
[tex]10y+130=180[/tex]
Therefore:
[tex]10y=50[/tex]
And by dividing both sides by 10:
[tex]y=5[/tex]
what is the solution to -6 - -25=
Answer:
19
Step-by-step explanation:
(-6)-(-25)=(-6) +25 = 19
Refer to pictures above
Answer:
6.9
Step-by-step explanation:
Cos ∆ = Adjacent/Hypotenuse
therefore x=12Cos55°
=6.88
=6.9 to the nearest tenth
Find the last digit of the number 41875 * so that it is divisible by 18.
Answer: 2.
Step-by-step explanation:
if you were to divide 418752 by 18 you would get a clear (without decimal) number, that would equal 23264
Someone help me please!!!
Annie has set a goal of running at the track three times each week for a total of at least 16 miles per week. On Monday she ran 7.1 miles, and on Wednesday she ran 5.9 miles. If Annie plans to go running again on Friday, what is the minimum number of miles needed to reach her weekly goal?
Write the equation of a circle whose center is at (6,-7) and whose radius is 4.
Answer:
(x - 6)² + (y + 7)² = 16
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k ) = (6, - 7 ) and r = 4 , then
(x - 6)² + (y - (- 7) )² = 4² , that is
(x - 6)² + (y + 7)² = 16
Consider the equation: x^2 - 4x + 4 = 2x
Rewrite the equation by completing the square:
Your equation should look like (x+a)^2 = b or (x-c)^2 = d
______
What are the solutions to the equation? (1 right answer!)
Answer:
(x+3)^2=5
Step-by-step explanation:
x^2-4x+4=2x
x^2-6x+4=0
x^2-6x+9-5=0
(x-3)^2-5=0
(x-3)^2=5
Can you please tell me the answer step by step??
Answer:
a)4
Step-by-step explanation:
(a+b)²=43 eqn 1
(a²+b²)=35 eqn 2
solving eqn 2 by putting the value of (a+b)² by eqn 1
(a+b)²-2ab=3543-2ab=35-2ab=35-43ab= -8/-2ab =4hope it helps
stay safe healthy and happy.How do i turn 3/8 into a percent
measured the volume of an object and recorded it as 46 cubic cm
which was 15% high from the actual volume. Find the actual volume.
Answer:
[tex]40\ cm^3[/tex]
Step-by-step explanation:
Let the actual volume is V.
The measured volume of an object is 46 cubic cm which was 15% high from the actual volume.
According to the given condition,
[tex]V+\dfrac{15V}{100}=46\\\\\dfrac{115V}{100}=46\\\\V=\dfrac{4600}{115}\\\\V=40\ cm^3[/tex]
So, the actual volume was [tex]40\ cm^3[/tex].
SOMEONE PLEASE HELPPPPPPPPPP
Answer:
the formula for the volume of a square pyramid is V=a^2*h/3
so if we just put in the data
12^2*10/3
144*10/3
480
so the answer is B
Hope This Helps!!!
resolve the factors ( xy+z)^2 (y-xz)^2
Answer:
=x4y2z2−2x3y3z+2x3yz3+x2y4−4x2y2z2+x2z4+2xy3z−2xyz3+y2z2
Make me brainliest
Answer:
x2y-x2z-xy2+xz2+y2z-yz2
step by step
step.1
Equation at the end of step 1:(((x2)•(y-z)(+((y2)•(z-x)))+z2•(x-y)
step2
Equation at the end of step2
(((x2)•(yz))+yz•(z-x))+z2•(x-y)
step.3
equation at the end of step 3.
(x2•(y-z)+y2•(z-x))+z2•(x-y)
step4
trying to factor by pulling out:
factoring: x2y-x2z-xy2+xz2+y2z-yz2
thought fully split the expression at hand into groups,each group having two terms:
group1: y2z-yz2
group 2: x2y-x2z
group 3: xz2-yz2
pull out from each groups separately:
group 1:(x-z)•(-y2)
group 2:(y-z)•(x2)
group 3:(x-y)•(z2)
looking for common sub-expressions:
group 1:(x-z)•(-y2)
group 2:(y-z)•(x2)
group 3:( x-y)•(z2)
bad news !! factoring by pulling out fails:
The groups have no common factor and cannot be added up to form a multiplication.
final result:
x2y-x2z-xy2+xz2+y2z-yz2
2 points The compound interest on a certain sum for the first year for 4 % is Rs. 25. The compound interest for 2 years at the same rate on the same sum will be ...
Answer:
The interest for the two years is Rs 51.
Step-by-step explanation:
Rate, R = 4 %
Compound interest for 1 year = Rs 25
Let the sum is P.
For first year,
[tex]A = P \left ( 1+\frac{R}{100} \right )^1\\\\A = P(1+0.04)\\\\A - P = 0.04 P\\\\0.04 P = 25\\\\P= Rs625[/tex]
For 2 year
[tex]A = P \left ( 1+\frac{R}{100} \right )^2\\\\A = 625(1+0.04)^2\\\\A = 676\\[/tex]
Interest is
Interest = Rs 676 - Rs 625 = Rs 51
what is the y-coordinate of the red point?
The y-coordinate of the red point is -3.
Prove That
cot 2A + tan 2A cot 2A-tan 2A = sec 4A
Answer:
*Refer the graph
Step-by-step explanation:
Blue : y= cot 2A + tan 2A cot 2A-tan 2A
domain a ≠ kπ/4
Yellow : y= sec 4A
domain a ≠ π/8 + kπ/4
vertical intercept (0,1)
[tex]\frac{5}{8}[/tex]· [tex]\frac{2}{3}[/tex]
Answer:
[tex]\frac{5}{12}[/tex]
Step-by-step explanation:
Multiply straight across and reduce.
[tex]\frac{5}{8}[/tex] · [tex]\frac{2}{3}[/tex] = [tex]\frac{10}{24}[/tex] = [tex]\frac{5}{12}[/tex]
2. A rectangle has length 13 and width 10. The length and the width of the rectangle are each
increased by 2. By how much does the area of the rectangle increase? *
50
20
38
35
What is the value of x?
Enter your answer in the box.
Answer:
12
Step-by-step explanation:
the angles on top of a line (or below a line) sum up to 180 degrees, as a line stands in that regard for a flip from left to right - which is a half circle or 180 degrees.
therefore, the sum of both angles must be 180.
10x - 20 + 6x + 8 = 180
16x -12 = 180
16x = 192
x = 12
Plsss can someone answer the bottom question
Answer:
30
Step-by-step explanation:
[tex]\frac{75}{100} = \frac{x}{40}\\\\Cross- multiply:\\\\\\75*40=100x[/tex]
3000 = 100x
x = 30
Another way:
75/100 is in reality 3/4
and 3/4 of 40 = 30
40/4 = 10
10 * 3 = 30
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
