Answers
The solution of the simultaneous equations is given by: x=0.60 and
y = 0.80 .
A system of equations or simultaneous equations, usually referred to as an equation system, is a collection of finite equations for which common solutions are sought.
The elimination approach, which involves taking one of the unknowns out of each equation, is the most popular technique for solving simultaneous equations. The final step is to calculate the remaining unknown. If the coefficient of one of the letters is the same, regardless of sign, this is possible.The given pair of simultaneous equations are:
6 x + 8 y = 10
9 x + 6 y = 10.20
Now let us multiply the first equation by 6 and the second equation by 8 and subtract it from the first.
36 x + 48 y = 60
72 x + 48 y = 81.60
⇒ 36 x = 21.60
⇒ x = 21.60 ÷ 36
⇒ x = 0.60
Substituting the value in the first equation we get:
y= 0.80.
Hence the solution of the simultaneous equation is x=0.60 and
y = 0.80 .
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Related Questions
Please help am in class need soon
Find the perimeter of triangle ABC. Found your answer to two decimal places.
Perimeter ABC=
Answers
The Perimeter of a triangle ΔABC is 27.68
Given ABC be triangle having vertices A(-2, -1), B(4, 3), C(-5, 7)
We need to find the perimeter of a triangle as
Perimeter of a triangle ΔABC = AB + BC +CA
Now we need to find distances as
D = √ (x₂ - x₁)² + ( y₂ - y₁ )²
AB = √ (4 - (-2))² + ( 3 - (-1) )²
= √ ( 4 + 2 )² + ( 3+1 )²
= √ (6)² + (4)²
= √ 36 + 16
= √ 52
= 7.21
BC = √ ((-5) - (4))² + ( 7 - (3) )²
= √ (-5 -4 )² + ( 7-3 )²
= √ (-9)² + (4)²
= √ 81 + 16
= √ 97
= 9.84
AC = √ ((-5) - (-2))² + ( 7 - (-1) )²
= √ (-5 -2 )² + ( 7+1)²
= √ (-7)² + (8)²
= √ 49 + 64
= √ 113
= 10.63
Perimeter of a triangle ΔABC = AB + BC +CA
= 7.21 + 9.84 + 10.63
= 27.68
Therefore, the Perimeter of the given triangle ΔABC = 27.68
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A student's essay is 3 pages long. Page 1 contains M words. Page 2 contains 43 fewer words than page 1. Page 3 contains one-third as many
words as page 1.
Which expression represents the number of words on all three pages?
OM+(M-43) - M
O 3M+ (M-43) + M
O 3M+ (M+43) + M
OM+ (M-43) + M
OM-(M +43) + M
Answers
3m+(m-43)+m
3m=page 3
m-43=page 2
m=page 1
The expression 13 . 25 × 5 + 6 . 5 gives the total cost in dollars of renting a bicycle and helmet for 5 days. The fee for the helmet does not depend upon the number of days. a. What does 13.25 represent?
Answers
13.25 represents the fee for renting a bicycle for 1 day;
13.25 × 5 + 6.5 = Total Cost
Since, helmet's fee does not depend upon days;
13.25 represents the fee for renting a bicycle for 1 day;
For 5 days; 13.25 × 5 represents the fee for renting a bicycle for 5 days;
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5- (x - 2)² for x = −1
Answers
Answer:
Its answer is -4..............
Answer:
Your answer is -4
Step-by-step explanation:
[tex]5 - (x - 2) { \\ }^{2} [/tex]
where x = -1
Therefore, p(-1) = 5 - ( (-1) - 2 )²
= 5 - (-3)²
= 5 - 9
= -4
Erica is participating in a road race. The first part of the race is on a 5.2-mile-long straight road oriented at an angle of 25∘ north of east. The road then turns due north for another 6.0 mi to the finish line.
In miles, what is the straight-line distance from the starting point to the end of the race?
Answers
The distance between the starting point(initial) and the ending point(last) is known as displacement is 9.46miles.
What is displacement?
Displacement is defined as the change in position of an object. It's a vector volume and has a direction and magnitude. It's represented as an arrow that points from the starting position to the final position. For illustration- If an object moves from A position to B, also the object's position changes. Distance is a scalar volume that refers to" how important ground an object has covered" during its stir. Displacement is a vector volume that refers to" how far out of place an object is" it's the object's overall change in position. Displacement is a defense medium that involves an individual transferring negative heartstrings from one person or thing to another.In the first(1st) part of the race displacement of Erica is
d1 = 5.2 miles at 25(twenty-five) deg North of East
x(ax) and y-component of 1st(first) part of the race will be:
d1 = 5.2*cos 25(twenty five) deg i + 5.2*sin 25(twenty five) deg j
d1 = (4.71 i + 2.20 j) miles (this id d1)
In the second(2nd) part of the race
d2 = 6(six) miles towards north,
So
d2 = (6 j) miles (this is d2)
Now net(accurate) displacement of Erica will be, Using Vector addition(summation):
d = d1(4.71 i + 2.20 j) + d2(6j)
d = (4.71 i + 2.20 j) +(sum) (6 j)
d = 4.71 i +(sum) 8.20 j
So Magnitude of net(accurate) displacement will be:
|d| = [tex]\sqrt{4.71^2+8.20^2}[/tex]
|d| = 9.46 miles(nine.four-six) = distance between starting(initial) point and ending point
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Jim began a 145mile bicycle trip to build up stamina for a triathlon competition. Unfortunately, his bicycle chain broke, so he finished the trip walking. The whole trip took 7 hours. If Jim walks at a rate of 4 miles per hour and rides at 30 miles per hour, find the amount of time he spent on the bicycle.
Answers
The amount of time he spent on bicycle is 4.5 hours.
Given Jim began a 145 mile bicycle trip.
The whole trip took 7 hours.
Jim walks at a rate of 4 miles per hour and rides at 30 miles per hour.
speed = distance / time
time = distance / speed
ride:
d = distance ridden
t = d/30 (given from the problem)
walk:
t = (145 - d)/4 (given from problem)
total trip time:
7 = d/30 + (145 - d)/4.
7 = 4d/120 + 30(145 - d)/120
7×120 = 4d + 30(145 - d)
840= 4d +4350-30d
840 ₋ 4350 = ₋30d ₊ 4d
₋3510 = ₋26d
d = 3510/26
d = 135
d=135 then from here using the formula t = d / s we can solve
t=135/30 = 4.5 hours
hence the amount of time Jim spent on the bicycle is 4.5 hours.
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Solve |5x+1|<-2 and write the solution in interval notation.
Answers
If you meant to say [tex]|5x+1| < -2[/tex], then there are no solutions.
This is because the |5x+1| is never negative. This applies to the result of any absolute value function. Absolute value represents distance on a number line. Negative distance is not possible.
---------------------------------------------------------------
If you meant to say [tex]|5x+1| \le 2[/tex], then the steps are shown below
[tex]|5x+1| \le 2\\\\-2 \le 5x+1 \le 2\\\\-2-1 \le 5x+1-1 \le 2-1\\\\-3 \le 5x \le 1\\\\-3/5 \le 5x/5 \le 1/5\\\\-3/5 \le x \le 1/5\\\\-0.6 \le x \le 0.2\\\\[/tex]
The interval notation would be [-3/5, 1/5] in fraction form
That is equivalent to [-0.6, 0.2] in decimal form.
Use square brackets to include each endpoint.
Select all the correct locations on the image.
The revenue and cost functions for a product line of running shoes are shown on the graph. Which points on the graph are considered
breakeven points?
Total (dollars)
-5,000
4,000
3,000
+2,000/
+1,000
20
C(x)
Reset
27.
40
60
80
Price per Shoe (dollars)
Next
R(x)
100
120
Answers
Answer:
1) 4,000
2) 3,000
3) 20
4) 27
5) 40
6) 60
7) 80
8) 100
9) 120
Step-by-step explanation:
. Will and Evie are walking to school. Their school is 0.8 miles from their home. So far, they have walked halfway (0.5). How far have they walked?
Answers
Order the cube root of 37, 16 over 5, negative four and two thirds, and negative pi from greatest to least.
the cube root of 37, 16 over 5, negative pi, and negative four and two thirds
16 over 5, the cube root of 37, negative four and two thirds, and negative pi
16 over 5, the cube root of 37, negative pi, and negative four and two thirds
the cube root of 37, 16 over 5, negative four and two thirds, and negative pi
Answers
The order of the numbers from greatest to smallest is the cube root of 37, 16 over 5, negative pi, and negative four and two thirds
What is the order of the numbers?The numbers we are to order from the greatest to the least are ∛37, 16/5, -4 2/3, -22/7. To ease the problem, all the numbers should be converted to decimal form.
A decimal is a number that consists of integers and non-integers. The integers are separated from the non-integers by a decimal point. An example of a decimal number is 1.23.
When converted to decimals, the number become:
∛37 = 3.33
16/5 = 3.2
-4 2/3 = -14/3 = -4.67
-22/7 = -3.14
The further away a positive number is from zero, the greater the number. The closer a negative number is to zero, the greater the number.
3.33, 3.2, -3.14, -4.67
∛37, 16/5, - 22/7, -4 2/3
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Answer:
The person above was correct! gl on ur exam :))
Find the domain and range for the absolute value function f(x)
graphed below. Then determine where the function is increasing and/or decreasing
Answers
Step-by-step explanation:
the domain is the interval or set of all valid x values.
as we can see, the function goes continuously from all the way to the left (until all eternity to -infinity) all the way to the right (until all eternity to +infinity).
the domain is
-infinity < x < +infinity
the range is the interval or set of all valid y (function result) values.
we see, the lowest y value is -1. and then the function goes on both sides up, up, up in all eternity to +infinity.
the range is
-1 <= y < +infinity
f(x) is decreasing for
-infinity < x < -1
f(x) is increasing for
-1 < x < +infinity
The depth of a local river averages 20 ft, which is represented as |−20|. In January, it measured 6 ft deep, or |−6|, and in July, it was 22 ft, or |−22|. What is the difference between depths in January and July?
Answers
The computation shows that the difference in depth is 16 feet
How to calculate the value?From the information, in January, it measured 6 ft deep, or |−6|, and in July, it was -22.
Therefore the difference between the depth will be:
= -6 - (-22)
= -6 + 22
= 16
Therefore, the difference in depth is 16 feet
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decreasing order 67,567
Answers
Answer:
n2jnsjsns. sisjnenws jsjsjjejsnsbss
Priya solved the following quadratic equation by completing the square. Her work is shown.
(+ 6x-11 =0
Original equation
x?+6x=11
Step 1: Isolate the variables to one side
4x +6x+6=17
Step 2: Complete the square when b = 6
(x+3)=17
Step 3: Factor and square the trinomial
x+3=‡/17
Step 4: Take the square root of both sides of the equation
x=-3‡/17
Step 5: Inverse operations to isolate the variable
What mistake did Priya make?
A
In Step 2, Priya did not correctly complete the square.
B
In Step 5, Priya did not finish simplifying her answer.
C
In Step 3, Priya should have also squared the 17.
D
In Step 1, Priya should not have changed the sign of 11
Answers
While solving the quadratic equation, in the step 2, Priya did not correctly complete the square.
A quadratic equation is of the form of ax²+bx+c=0.
Here x is the variable. a , b and c are constants.A quadratic equation has two solutions.The graph of a quadratic equation is in the form of a parabola.A quadratic equation can be solved in various ways:Graphical solutionMiddle term factorizationcompleting the square method.The given quadratic equation is of the form:
x²-6x-11=0
Now solving it by completing the square we get:
or, x²-6x=11 (take all the variable to one side)
or, x²-6x+9=11+9 (complete the square when b=3)
or, (x-3)²=20 (factor and square the polynomial)
or, x = 3 ± √20 (use inverse operations so that the variable is isolated)
Hence Priya made a mistake while completing the square of the equation.
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question is in picture pls help
Answers
Answer:
Step-by-step explanation:
e
Japhet is making small rectangular tiles for a mosaic. Each tile has an area of 7 cm² and is
cm wide.
4
How long is each tile?
Answers
Step-by-step explanation:
1 = 7cm2
4 = 4 × 7
= 28cm2
Since 1 is 7 then 4 will multiple of 7
Answer:
5 3/5
Step-by-step explanation:
reflection across the y-axis
Please I need help ASP
Answers
Answer:
See the picture below.
Step-by-step explanation:
if √64 = a , then a is equal to ____.
32
16
8
irrational
Answers
Answer:
8
Step-by-step explanation:
The
[tex] \sqrt{64} [/tex]
is 8. Because when you divide 64 by 8 you get 8 which makes it a perfect square.
What is the fractional equivalent of the repeating decimal _
0.5
Answers
Answer:
B. 5/9
Step-by-step explanation:
You can just divide 5 and 9 and you get the repeating decimal
Write 670,000,000 in scientific notation.
6.7 × 109
0.67 × 109
67 × 108
6.7 × 108
Answers
6.7×10 8 is your correct answer
Answer:
the scientific notation is: [tex]6.7 ~x~10^{8}[/tex]
Step-by-step explanation:
The proper format for scientific notation is;
[tex]a~x~10^{b}[/tex]where a is a number or decimal number such that the absolute value of a is greater than or equal to one.
Given:
[tex]670,000,000[/tex]Thus, the scientific notation is:
[tex]6.7 ~x~10^{8}[/tex]Hope this helps!Answered by:AshTheNekoA bakery is making whole-wheat bread and apple bran muffins. For each batch of break they make $35 profit. For each batch of muffins, they make $10 profit. The break takes 4 hours to prepare and 1 hour to back. The muffins take 0.5 hours to prepare and 0.5 hours to bake. The maximum preparation time available is 16 hours. The maximum bake time available is 10 hours. Let x = # of the batches of bread and y = # of batches of muffins. Outline the feasible region that can be used to find the number of batches of bread and muffins that should be made to maximize profits? Use the color RED to indicate the feasible region!
Answers
Step-by-step explanation:
let the number of wholewheat bread batches be x
let the number of muffin batches be y
prep condition: 4x + (1/2)y ≤ 16 or 8x + y ≤ 32
baking condition : 1x + (1/2)y ≤ 10 or 2x + y ≤ 20
graph each of those in the first quadrant shading in the region below each one.
Final shading is the region satisfying both conditions.
profit = 35x + 10y
allow this line to "slide" away from the origin as far as you can.
It should be clear that the farthest we can go is the intersection of
8x+y = 32 and
2x + y = 20 or the x and y intercepts of our two boundary lines.
subtract them as they are:
6x = 12
x = 2
then in our head , y = 16
max profit = 2(35) + 10(16) = 230
Just to make sure, I will test the intercepts of our intersecting region, namely (4,0) and (0,20)
for (4,0) profit = 4(35)+1 = 140
for (0,32) profit = 0 + 10(20) = 200
so max profit is 230 when x=2 and y=16
(notice all the prep time and baking time is utelized)
Write 0.641 as a fraction in simplest form
Answers
Write the number as a fraction of 1 (one):
0.641 = 0.641/1Simultaneously multiply the numerator and denominator by 10 as many times as the digits after the comma (separation between the integer part and the fractional part of the number):
Since we have 3 numbers after the comma, multiply the numerator and denominator by 1000. So,
0.641/1 = (0.641 x 1,000)/(1 x 1,000) = 641/1,000.Note that multiplying by 10 is the same as moving the decimal point one place to the right.
Once this fraction is irreducible, that is, it is in reduced form, we can no longer simplify it. The answer is the previous fraction.
Skandar
Help!!
Find the after-tax return to a corporation that buys a share of preferred stock at $49, sells it at year-end at $49, and receives a $4 year-end dividend. The firm is in the 21% tax bracket.
This is what I got so far:
Before-tax:
(49-49)+4 = 4,
4/49 = 0.0816,
After-tax:
0.0816 (1-021) = 0.06448 or 6.45%
Answers
After the tax return percent is 7.43%.
What is a tax return?
A tax return is a form or form filed with a duty authority that reports income, charges, and other material duty information. Tax returns allow taxpayers to calculate their duty liability, schedule duty payments, or request refunds for the remittance of levies. A tax return is the completion of attestation that calculates a reality’s or existent's income earned and the quantum of levies to be paid to the government or government associations or, potentially, back to the taxpayer. Taxation is one of the biggest sources of income for the government.The tax-return of the corporation will be calculated by providing a 70% of deduction to the preference dividend.
The total amount of preference dividend which will be taxable= (dividend amount*(1-.7)
= (4*.3)= 1.20.
The total amount of tax= (total preference dividend taxable*x tax rate)
= (1.2*.3)=.36
The total after tax amount of Return= (preference dividend-tax)= (4-.36)= 3.64.
There will be no capital gain because there is no change in the price of preference shares.
After tax return=(after tax dividend/purchase price)
= (3.64/49)
= 7.43%.
After the tax return percent is 7.43%.
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How do I figure out x and y
Answers
Answer:
x = 7, y = 45
Step-by-step explanation:
[tex]7x+13=6x+20[/tex]
[tex]x=20-13\\x=7[/tex]
Angle
[tex]7(7)+13=49+13=62^{0}[/tex]
supplementary angle
180 - 62 = 118°
[tex]3y-17=118[/tex]
[tex]y=\frac{118+17}{3} =135/3=45[/tex]
Hope this helps
Tomeka is in a jump-roping contest. She hopes to be the last person jumping rope at the end of the contest. In her practice yesterday, she jumped 294 consecutive jumps. She jumped one-fourth of them in the first 5 minutes of practice. How many times did she jump after the first five minutes?
what is the plan of action to this problem?
Answers
Answer:
Answer
Step-by-step explanation:
Answer times the power of infinity
A college student realized that he was spending too much money on music. For the remaining 5 months of the year his goal is to spend a mean of $50 a month towards music. How much can he spend in December, taking into consideration that in the other 4 months he spent $30, $80, $45, and $35, respectively?
Answers
The amount he can spend in December given that he spent $30, $80, $45, and $35, respectively in the other 4 months is; x = $60.
How much can he spend in December given his spending in the last four months?It follows from the task content the intention is to spend a mean of $50 a month towards music.
On this note, it follows that the since the mean is given by the ratio of the sum of all data values and the number of data values, it follows that;
Mean = 50 = (30+80+45+35 + x)/5
where x = spending in December.
multiply both sides by 5;
(30+80+45+35 + x) = 250
x = 250 -30 -80-45-35
x = $60.
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38t-16t2
What is the height of the soccer ball 1.25 seconds after Callie kicks it?
Answers
Answer:
7.5
Step-by-step explanation:
38 times 1.25
minus 16 times 1.25
times 2
WELL GIVE YOU BRAINLIEST ASAP GRAPH
Question
Which relation is a function?
ITS ONLY 1 ANSWER CHOICE
Answers
Answer:
the last one (bottom right) x cannot be the same on any point so the last one is the only correct answer
Answer:
4th option
Step-by-step explanation:
The option which doesn't have more than one point on an x-value.
Knowledge Check
Question 10
The circle graph shows how the annual budget for a company is divided by department. If the amount budgeted for Media and Engineering combined is
$30,000,000, what is the total annual budget?
Answers
Answer: 150,000,000
Step-by-step explanation:
Total percentage of editorial + engineering = 20%
Total budget of editorial + engineering = 30,000,000
So, Total budget*20/100 = 30,000,000
Total budget = 5*30,000,000
Total budget = 150,000,000
A tringle is shown.
The triangle is translated 8 units to the left, then reflected over the x-axis.
Select the Polygon tool. Then, click the points of the triangle vertices to create the triangle by connecting the sides.