Answer:
x = 1.58 and y = 0.105
Step-by-step explanation:
Given equations are :
5x+y =8 ...(1)
x+4y=2 ...(2)
Multiply equation (2) by 5.
5x+20y=10 ..(3)
Subtract equation (1) from (3).
5x+20y-(5x+y) = 10-8
5x+20y-5x-y = 2
19y = 2
y = 0.105
Put the value of y in equation (2).
x+4(0.105)=2
x = 2-0.42
x = 1.58
Hence, the values of x and y are 1.58 and 0.105.
1,2,3,4,5,7,7,7,8,8
What is the median
Answer:
7
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
If 13% is lost by selling goods for Rs 1475, what would be the loss or gain if the goods are sold for Rs 1615?
Given:
Loss percent is 13%.
Selling price = 1475
To find:
The loss or gain if the goods are sold for Rs.1615?
Solution:
Let x be the cost price of goods.
Loss percent is 13% and selling price is 1475.
[tex]1475=x-\dfrac{13}{100}x[/tex]
[tex]1475=x-0.13x[/tex]
[tex]1475=0.87x[/tex]
[tex]\dfrac{1475}{0.87}=x[/tex]
[tex]1695.4023=x[/tex]
[tex]x\approx 1695.40[/tex]
The cost price of goods is 1695.40.
We need to find the loss or gain if the goods are sold for Rs.1615.
Cost price is greater than the selling price because 1695.40 > 1615. It means , it is a loss.
[tex]Loss=CP-SP[/tex]
[tex]Loss=1695.40-1615[/tex]
[tex]Loss=80.40[/tex]
The loss percent is
[tex]Loss\%=\dfrac{Loss}{C.P}\times 100[/tex]
[tex]Loss\%=\dfrac{80.40}{1695.40}\times 100[/tex]
[tex]Loss\%\approx 4.74\%[/tex]
Therefore, the loss is 80.40 and the loss percent is about 4.74%.
Ali and billy ran around a race track. How many more metres did Ali ran than billy in one lap? (Find perimeter)
Answer:
Ali ran 25.13 m more than bily
Step-by-step explanation:
From the diagram, we can see that bully runs with the inner track line while Ali runs with the outer track line.
Thus;
Diameter of inner semi circle = 20 m
Diameter of outer semi circle = 20 + 4 + 4 = 28 m
Perimeter of inner semi circle = πD/2 = 10π
Perimeter of outer semi circle = πD/2 = 14π
Now, perimeter of Billy = 80 + 80 + 10π + 10π = 222.83 m
Perimeter of Ali = 80 + 80 + 14π + 14π = 247.96 m
Thus, in one lap, difference in distance between Ali and billy = 247.96 - 222.83 = 25.13 m
Y = 4X+3 and y= 2X+7 solve by using substitution
Answer:
x=2 y=11
Step-by-step explanation:
math
a
A retailer marks up the price of a coffee mug from $6.25 to $8.77. By what percent did the price increase? Round to
two decimal places.
28.73%
b. 39.68%
C. 40.32%
d. 45.97%
Answer:
c. 40.32%
Step-by-step explanation:
Factorize i) 6y² - 24 y
Answer:
6y (y + 4)
(pick out the common factors) \
hope its righ!
Hope it helps you ❤️. ❤️❤️❤️❤️
The length of a rectangle is 3 m longer than its width. If the perimeter of the rectangle is 26 m , find its area.
Answer:
40 m²
Step-by-step explanation:
First, find the perimeter. Using the perimeter formula, p = 2l + 2w, solve for the side lengths of the length and width.
Let w represent the width. The length can be represented by w + 3, since the length is 3 m longer than the width.
Plug in 26 as the perimeter, and plug in w and w + 3 for the width and length:
p = 2l + 2w
26 = 2(w + 3) + 2w
Simplify and solve for w:
26 = 2w + 6 + 2w
26 = 4w + 6
20 = 4w
5 = w
Find the length by adding 3 to this:
5 + 3
= 8
Now, find the area using the area formula, A = lw
Plug in the length and width:
A = lw
A = 8(5)
A = 40
So, the area of the rectangle is 40 m²
can someone please help me what’s the answer
Answer:
1,5Step-by-step explanation:
Answer:
Slope: 4
Step-by-step explanation:
I gave you the slope of the graph. The slope is rise/run. The rise is 4, and the run is 1. So you get 4/1 or 4. The graph is positive because the line rises left to right.
Hope it helps!
someone help me solve these three math year7 questions , thank you
Answer:
1.
(a)input:9, output:8&12
(b)input:14,output:3&13
(c)input:7&20,output:50
2.
(a)input:7&6,output:18
(b)input:9&8,output:12
(c)input:14&26,output:0.5
3.
(a)+3
(b)÷3
(c)x7
2/3 of a class are girls.
Note: Give your answers
in their simplest forms.
a) What is the ratio girls to boys in the class?
b) What is the ratio boys to girls in the class?
!!!
Answer:
a. 2,1
b. 1,2
Step-by-step explanation:
that's the answerrrr
Using the 28/36 ratio, determine the maximum allowable recurring debt for someone with a monthly income of $3,200. a. $256 b. $512 c. $640 d. $896
Answer:
a. $256
Step-by-step explanation:
The computation of the maximum allowable recurring debt is shown below:
Given ratio = 28:36
And the monthly income is $3,200
So the maximum expense on housing = 28% of $3,200 = $896
And, the maximum expense on total debt = 36% of $3,200 = $1,152
Now the maximum alloweable recurring debt is
= $1,152 - $896
= $256
Answer:
the answer is A
Step-by-step explanation:
Look at the image i took a screenshot
Answer:
10 miles
Step-by-step explanation:
10 miles
Step-by-step explanation:
Since the distance on the map is 4 inches, and the scale is 1in=2.5 mi, you multiply 2.5 by 4 which gets you your answer of 10 miles.
Cars with ABS or anti-lock brakes do not leave skid marks.
O
A. True
B. False
Cars with ABS or anti-lock brakes do not leave skid marks is a false statement.
What are Automobiles?Four-wheeled vehicle designed primarily for passenger transportation and commonly propelled by an internal-combustion engine using a volatile fuel.
Cars with ABS or anti-lock brakes are designed to prevent skidding during sudden braking.
However, it is not entirely true that they do not leave skid marks.
Skid marks can still be present, especially in certain situations such as emergency braking on a wet or slippery road surface.
ABS helps to prevent the wheels from locking up, which can reduce the length of skid marks, but they may still be present to some extent.
Therefore, it is not accurate to say that cars with ABS or anti-lock brakes do not leave skid marks, so it is false.
To learn more on Automobiles click:
https://brainly.com/question/1193772
#SPJ2
Two angles are complementary. The measure of one angle is 3° more than one-half of the measure of the other. Find the measure of each angle.
Answer:
doge
Step-by-step explanation:
EAnswers avatar
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.
What is the equation of the line that passes through the point (-6, -6) and
has a slope of 2/3
Answer:
y=2/3x-2
Step-by-step explanation:
y-y1=m(x-x1)
y-(-6)=2/3(x-(-6))
y+6=2/3(x+6)
y=2/3x+12/3-6
y=2/3x+4-6
y=2/3x-2
Write ea h equation in slope-intercept form; then state the slope and y-intercept:
8x - y = -2
Answer:
written in slope-intercept would be: y=8x+2
the slope would be: 8
the y-intercept would be: (0,2)
Step-by-step explanation:
What is the equation of the line that passes through the point (−7,−1) and has a slope of 11?
Answer:
y = 11x + 76Step-by-step explanation:
The equation of a line with a slope of "a" and containing a given point (x₀, y₀) is:
y - y₀ = a(x - x₀)
a = 11, x₀ = -7, y₀ = -1
So:
y - (-1) = 11(x - (-7))
y = 11x + 77 - 1
y = 11x + 76
Work out the lenght of side a and b
Give answer to 1 decimal place
Answer:
wheres the pic?
Step-by-step explanation:
Answer: 16.25
Step-by-step explanation:
Perry finished a 100-meter race in 7/8 of a minute. The winner of the race used 14/15 of Perry's time to finish the race. How much time did the winner use to finish the race?
Answer:
49 seconds
Step-by-step explanation:
The time perry used is 7/8 of a minute
a minute equals to 60 seconds
so the time perry used is 7/8 x 60 = 52.5 seconds
The winner used 14/15 of 52.5 seconds (perrys time)
so 14/15 x 52.5 = 49 seconds
Pls...I have no idea what the answer is :(
please help, find the upper limit of the third class interval
Answer:
the upper limit of the third class interval
= d. 19
Step-by-step explanation:
third class interval
=16 - 19
find this ok. do not wrong answers I will report it
Answer:
your answer will be 13/5(x-5)
Step-by-step explanation:
hope it helps bye
Answer: 13 /5x−25
Step-by-step explanation: 8 /5x−25 − 6 /30−6x
-78x+390 /−30x2+300x−750
−13x+65 /−5x^2+50x−125
13(−x+5) /5(−x+5)(x−5)
13 /5x−25
5j+16−12(−9j−4)=12j show steps
Answer: j = - 64 / 101
Step-by-step explanation:
5
What does (4+1)(x+2x) simplify to?
Answer:
15x
Step-by-step explanation:
5 (x+2x)
5 (3x)
15x
Answer:
15x
Step-by-step explanation:
4x + 8x + x + 2x
= 15x
Find the slope of the line below.
Answer:
slope = -3
hope this helps :)
Answer:
-9/3 = simplify it is -3
Step-by-step explanation:
go to the dot and go up 9 and to the left 3 and put the rise over the run like this -9/3 and if you simplify it it will be -3 very ez
have a nice day.
write a function to represent the set of ordered pairs, (2,-2) (3,8) (4,22) (5,40)
what is the y-intercept of 2x^2-8x+21
Answer:
the y-intercept is (0,21)
Answer:
(0,21)
Step-by-step explanation:
If you set x to 0, you can solve for the y-intercept. Plugging in 0 in this equation will give you 21. Therefore, the y-intercept is at (0,21).
AB =8 and AD=5. What is BC
Answer:
7 or 6 maybe I don't know if both are correct
,
3*. PQRS is an isosceles trapezium
I(PQ) = 7 cm. seg PM 1 seg SR,
I(SM) = 3 cm,
Distance between two parallel
sides is 4 cm, find the area of
PQRS
Answer:
10 cm is your answer right answer
!!HELP!!! NEED ANSWER ASAP!!!
Write the polynomial in standard form. Then identify the leading coefficient and the constant. Classify the polynomial by the degree and number of terms.
4+5x^(2)-x
Answers:
Standard Form: 5x^2 - x + 4Leading coefficient: 5Constant: 4Degree: 2Number of terms: 3=====================================================
Explanation:
The term with the largest exponent will go first, followed by the next largest exponent, and so on. This will get the polynomial into standard form. So 4+5x^2-x turns into 5x^2-x+4. You can think of this as 5x^2-x^1+4x^0. Note the exponents counting down: 2,1,0.
Each term is separated by a plus or a minus. We can think of 5x^2-x+4 as 5x^2+(-x)+4
The leading term is the first term 5x^2. It has the coefficient of 5, so the leading coefficient of the overall polynomial is 5.
The constant is the term without any variables attached to it. So the constant is 4. As the name implies, the constant doesn't change no matter what x changes to. In contrast, the 5x^2 term does change as x changes.
The degree is the largest exponent, so in this case it would be 2. After you get the polynomial into standard form, it's the first exponent on the left.
As mentioned earlier, each term is separated by a plus or a minus. So we have three terms here. We consider this a trinomial since "tri" means "three". More specifically, this is a quadratic trinomial. Any quadratic will have the largest exponent being 2.