Answer:
Step-by-step explanation:
- 6x + 7y = - 6 ⇒ 6x = 7y + 6 ...... (1)
6x - 8y = 12 ........ (2)
(1) ------> (2)
( 7y + 6 ) - 8y = 12
- y + 6 = 12
y = - 6 ------> (1)
- 6x + 7( - 6 ) = - 6
6x = - 42 + 6
x = - 6
( - 6 , - 6 )
y=2x+1 and y=3x.
At what x-values are the equations equal?
x = 1 and x = 3
x = 0 and x = 1
x = 1 and x = -1
x = 2 and x = 3
Answer:
x = 1 and x = 3
Step-by-step explanation:
Let's solve your system by substitution.
y=2x+1;y=3x
Step: Solvey=2x+1for y:
y=2x+1
Step: Substitute2x+1foryiny=3x:
y=3x
2x+1=3x
2x+1+−3x=3x+−3x(Add -3x to both sides)
−x+1=0
−x+1+−1=0+−1(Add -1 to both sides)
−x=−1
−x
−1
=
−1
−1
(Divide both sides by -1)
x=1
Step: Substitute1forxiny=2x+1:
y=2x+1
y=(2)(1)+1
y=3(Simplify both sides of the equation)
Answer:
x=1 and y=3
HELP PLS find measure of w in this trapezoid
Answer:
m<w= 36°
Step-by-step explanation:
Step 1) Applying geometric and algebraic knowledge, the two angles to the left are both 90, and equal to 180. If you add those two angles and the 146°, you will be given 326 in total.
90+90= 180 +146 = 326
Step 2) With knowledge that the sum of all interior angles inside of a quadrilateral add up to 360, subtract 326 from this.
360-326=36
Final product: m<w=36°
What is the value of -5^6
Answer:
-15625
Step-by-step explanation:
Hope this helped !! :)
Have a good day.
what is the median of the data set {23 , 16 , 19 , 17 , 15 , 19 , 17 , 24 }
Answer:
7; 19; 24; 10; 17; 21; 6; 22; 5; 9
Arrange: 5; 5; 6; 7; 9; 10; 17; 19; 21; 22; 24
( 5+5+6+7+9+10+17+19+21+22+24 ) / 11
Mean = 145 / 11
Mean = 13,18
Mode = 5
(5 is the only value that appears most often)
Median = 10
Answer:
Step-by-step explanation: 119.5
What is the difference between the two points (0,9) and (0,1)?
Answer:
0,1-0,9
-0,8
Step-by-step explanation:
Subtract the second point from the first point.
(a) Find the approximations T10 and M10 for 2 25e1/x dx. 1 (Round your answers to six decimal places.) T10 = M10 = (b) Estimate the errors in the approximations of part (a). (Round your answers to six decimal places.) |ET| ≤ 0.001667 Incorrect: Your answer is incorrect. |EM| ≤ (c) How large do we have to choose n so that the approximations Tn and Mn to the integral in part (a) are accurate to within 0.0001? n = for Tn n = for Mn
Answer:
A) T10 = 50.549391
M10 = 50.477547
B) ║ET10 ║= 0.169093
║EM10║= 0.084946
C)for ║ETN ║ N = 421
for ║EMN ║ N = 292
Step-by-step explanation:
A) F(x) = 25e[tex]^{\frac{1}{x} }[/tex]
where a = 1, b = 2 and bx = 1/10
attached below is the detailed solution
B) f'(x) = [tex]- \frac{25}{x^{2} } e^{\frac{1}{x} } ,[/tex] f"(x) = 25 [([tex](\frac{2x+1}{x^4} )e^{\frac{1}{x} }[/tex]
attached below is the detailed solution
Please help if you can.
What one does not belong!!! Help
Answer:
the parallel lines
Step-by-step explanation:
the title is classifying angles... the parallel lines don't have an angle so I'm guessing it's the parallel lines
The measure of angle Q is 70 degrees. Find the measure of angle P.
Answer:40
Step-by-step explanation: because 70 times 2 = 140 and you add 40 will equal 180 because every triangle equals 180
The measure of angle m<P is 40 degrees
The given triangle is an isosceles triangle where:
m<R = m<Q
Taking the sum of the interior angles, we will have:
m<P + ,m<Q + m<R = 180
70 + 70 + m<P = 180
m<P = 180 - 140
m<P= 40 degrees
Hence the measure of angle m<P is 40 degrees
Larn more angles in a triangle here: https://brainly.com/question/25215131
A 160-inch board is cut into two pieces. One piece is four times the length of the other. Find the length of the shorter piece.
PLEASE HELP
Let the shorter piece be x. The longer piece is 4 times the length of the other, so it is 4x.
4x + x = 160.
5x = 160
x = 32
4x = 128
The length of the shorter piece is x, which is 32.
32 inchesWhat equation is equivalent to 5(2p - 6)= 40
How many triangles can be constructed with side lengths of 1.8 cm, 3.4 cm, and 5.6 cm?
0
1
more than one
Answer: One triangle
Step-by-step explanation:
-The triangle's dimensions are defined and fixed.
-Given the fixed dimensions, only one unique triangle can be constructed.
-Hence, only one triangle of the dimensions 7.2cm, 6.9cm and 12.8 cm can be formed.
Answer:
1
Step-by-step explanation:
The correct shape would be a scalene triangle, which can't be bent and twisted and still have the same side lengths.
Suppose you decide to run at least 7.5 miles per week during the week to train for the cross-country season in the fall. During one week, you run 2 miles on Sunday and 2.5 miles on Wednesday. How many more miles, m, do you need to run before the week is over? *
Given :
You decide to run at least 7.5 miles per week during the week to train for the cross-country season in the fall.
During one week, you run 2 miles on Sunday and 2.5 miles on Wednesday.
To Find :
How many more miles, m, do you need to run before the week is over.
Solution :
Total number of miles we travelled till Wednesday :
t = miles run on Sunday + miles run on Wednesday
t = 2 + 2.5 miles = 4.5 miles.
Now, number of miles remaining :
R = Total target - t
R = 7.5 - 4.5 miles
R = 3 miles.
Therefore, we need to run 3 more miles before the week is over.
Hence, this is the required solution.
the triathlon is raising money by charging entry fees. They collected $600 in entry fees. Each participant paid $10. How many people paid to participate in the event?
Answer:
60
Step-by-step explanation:
$600
each person paid $10
600/10
60
Are the lines y=0 and x=0 parallel?
Answer:
No, these equations are not parallel.
Step-by-step explanation:
The equation [tex]y=0[/tex] is a vertical line. This equation, in fact, is the y-axis.
The equation [tex]x=0[/tex] is a horizontal line. This equation, in fact, is the x-axis.
These lines are perpendicular, not parallel.
HELPP 5 POINTS Here's a graph of a linear function. Write the equation that describes that function.
Express it in slope-intercept form.
Step-by-step explanation:
m = (y2-y1)/(x2-x1)
m = (4-0)/(0-(-8))
m = 4/8
y = mx + c
4 = (4/8)(0) + c
c = 4
Thus, the equation is y = (4/8)x + 4
Please Help me Its a Math question!!!! Please
Answer:
The first one should be the answer. 90 degrees counterclockwise.
Answer:
See below.
Step-by-step explanation:
The answer would be 90 degrees counterclockwise. Think of a clock. The direction it usually goes is clockwise. The opposite direction is counterclockwise. So, this triangle rotated counterclockwise.
-hope it helps
5
A church has 3 bells. One rings after every 3 minutes, the other after
every
4
minutes and the third one after every 5 minutes. If they all ring together at
8:00 a.m., at what time will they ring together again?
You
Answer:
9:22
Step-by-step explanation:
Find the LCM Least common multiple of all three numbers (minutes)
3,4,5 LCM is 60
Divide each one into the LCM
60/3 = 20
60/4 = 15
60/5 = 12
Totals =82
add that to the time 8:00
82 is an Hour and 22 minute so it would be 9:22
I looked at other problems and this is how they solved it. I hope it helps
Draw a graph of y = 8x. From the graph, find the value of y when x = 1 ...... I need it fast..pls I will mark brainliest.
Answer:
Solving steps:
find the value of y when x = 1
=> y = 8(1)
multiply 8 by 1
=> y = 8
Hey there!
ORIGINAL EQUATION: y = 8x
This one should be quite easy to answer because we already have the value of x. (x = 1) all we have to do is find the y-value and where it is on the number line.
NEW EQUATION: y = 8(1)
SIMPLIFY IT!
y = 8
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Please Answer Number 7
Answer: 32ft²
Step-by-step explanation:
The area of a trapezoid is given by the formula: A = [(b1+b2)/2] x h, where b1 and b2 are the two bases, and h is the height.
In our situation, b1 = 3, and b2 = 5. The height is given as 2.
Plugging these numbers into our formula:
A = (b1+b2)/2 x h
A = [(3+5)/2] x 2
A = (8/2) x 2
A = 4 x 2
A = 8ft²
8ft² is the area of one trapezoid. If Mr. Smith wants to fit 4 of these shapes into the room, the combined area will be 4 x 8 = 32ft².
Have a nice day :)
Individuals of the same approximate weight running 6 mph or 1 mile every ten minutes have a calorie use factor of 62% of their weight; i.E., calories burned = (weight)(0.62). If they run an 8-minute mile, the factor is 65%. A man weighs 180 lb. He jogs a mile in 8 minutes. How many calories has he used up?
Answer: He has used up 117 calories.
Step-by-step explanation:
Given, For 62% as factor, calories burned (E)= (weight)(0.62).
Also, if they run an 8-minute mile, the factor is 65%. [given]
Then, calories burned (E)= (weight)(0.65). [65%=0.65]
Weight of man = 180 lb
Then, calories burned (E)= 180 x (0.65).
= 117
Thus , he burned 117 calories.
So, he has used up 117 calories.
A truck whose bed is 8.5 feet long, 5 feet wide, and 3.5 feet high is delivering sand for a sand sculpture competition. How many trips must the truck make to deliver 400 cubic feet of sand?
Answer:
The truck will need to make 3 trips.
Step-by-step explanation:
First, we need to find the volume that the truck can carry. Using the dimensions of the truck and the volume formula, we have:
[tex]V=lwh\\V=8.5\times5\times3.5\\V=148.75\text{ ft}^3[/tex]
Since we need to move a total of 400 cubic feet, we will divide that amount by the truckload capacity (volume).
[tex]400 \div 148.75 \approx 2.689[/tex]
In context, he will need to take three truck loads: two loads will be full, and the third will not be full.
A factory needs to produce 1,800 jars of peanut butter on a certain day.
They start production at 8:30 A.M. By 10:30 A.M., they have produced 600 jars of peanut butter.
At what time will they complete the total number of jars that they need to produce?
A. 12:30 P.M.
B. 1:30 P.M.
C. 2:30 P.M.
D. 3:30 P.M.
Answer:
I think the answer is D
What is the quotient. Of 25)9250
Answer:
370
Step-by-step explanation:
Isolate the numbers so that you are only dividing sections at a time.
So 25 goes in to 92 three times. so we multiply 25 by three and subtract that from 92. Put the three at the top and repeat throughout.
92-75=17
Bring the next number down and repeat.
Answer: 370 Remainder 0
Step-by-step explanation:
Susie ran 2.35 kilometers. What is the value of the 3 in 2.35?
A. 3 tens
B. 3 tenths
C. 3 hundredths
D. 3 thousands
Answer:
tenths
Step-by-step explanation:
the 2 is in the ones place and the 5 is in the hundreds meaning the 3 would be in the tenths
A computer store is having a sale. A laptop originally cost $700 and is now being sold at a fifth off of the original price. What is the sale price of the laptop?
Answer:
$560
Step-by-step explanation:
1/5th the original price just means 20%
20% of 700 is 140
700*.20= 140
Since it's 20% off that means subtraction
700-140=560
Hope this helps!
Does the relation in the table represent direct variation, inverse variation, or neither? If it is direct or inverse variation, write an equation to represent the relation. Explain your answer.
Answer:
Indirect variation
Step-by-step explanation:
If two variables change in inverse proportion, then it is called indirect variation.
xy = k where k is a constant.
5*2 = 10
10*1 =10
[tex]15*\dfrac{2}{3}=5*2=10\\\\\\20*\dfrac{1}{2}=10[/tex]
So, this is indirect variation.
What’s the name of the transformation???
WHOEVER ANSWERS FIRST WILL BE MARKED BRAINEST
Answer:
[tex]5(n + 4)^{\frac{3}{2} }[/tex]
I hope this helps!
4/7 divided by 2 1/3 = ???
Answer:
[tex]\frac{12}{49}[/tex]
explanation:
Use the keep change flip method. This consists of literally flipping a fraction to make the denominators alike, allowing for faster solves and multiplication.
[tex]2\frac{1}{3}[/tex] is [tex]\frac{7}{3}[/tex], so flip 7/3 so it is 3/7, matching up with 4/7.
Next, multiply.
4 x 3
7 x 7
4 x 3 is 12. Write 12 as a numerator.
7 x 7 is 49. Write 49 as a denominator.
Therefore, the answer is [tex]\frac{12}{49}[/tex]
Simplifying? We cannot simplify this number due to a lack of factors.