The required solution of the equation is (2,5). The correct option is A. (2,5).
Given equations,[tex]y=x+3.....(1)\\2x+y=9......(2)[/tex]
How to solve a system of equations?putting the value of y from eq. 1 in eq. 2 we get,
[tex]2x+x+3=9\\3x=9-3\\3x=6\\x=2[/tex]
putting the value of x=2 in eq. 1 we get,
[tex]y=2+3\\y=5[/tex]
Hence, the required solution of the equation is (2,5).
For more details on solving the equation follow the link:
https://brainly.com/question/11897796
make x the subject of the following formula:
ax - ay = cx + by
please help
x = by + ay / a - c
Step-by-step explanation:
Given that
ax - ay = cx + by
Collect like terms
ax - cx = by + ay
Factorize both sides
ax - cx = by + ay
x(a - c) = by + ay
Divide both sides by (a - c)
x(a - c) = by + ay
x = by + ay / a - c
Making x the subject of the formula would be
x = by + ay / a - c
Learn more about subject of formula here : https://brainly.com/question/859711
What is 48.5% of 300?
Find the circumference of a circle with a radius of 2.4 m
Answer:
here,
circumference of circle (c)=2πr
=2×22÷7×2.4
15.0857143.
Mike and Andy are each reading the same book. Mike read 2/4 of the book on Tuesday and 1/3 of the book on Wednesday. Andy read 1/2of the book on Tuesday and 1/5of the book on Wednesday.
Andy says that altogether he read more of the book on Tuesday and Wednesday than Mike.
Is Andy correct?
Jamal finds some dimes and quarters in his change purse. How much money (in dollars) does he have if he has 9 dimes and 4 quarters? How much money (in dollars) does he have if he has xx dimes and yy quarters?
Answer:
$1.90
10xx+25yy cents
Step-by-step explanation:
9 dimes (10 cents each) = 90 cents = 0.9 dollars
4 quarters (25 cents each) = 100 cents = 1 dollar
Making $1.90
xx dimes (10 cents each) = 10xx cents
yy quarters (25 cents each) = 25yy cents
Making 10xx+25yy cents in total I believe..
Hope this helps :)
1. (2x^3)^4
2. 18 x^0
3. 7p ^-4
Step-by-step explanation:
1. 16x ^ 12 ( to raise a product to a power , raise its factor to the power , evaluate the power, simplify the expressions by multiplying exponents)
2. 1 ( its a rule any non zero expression raised to power of 0 equals to 1)
3. 7/p^4
De los tres cuartos de los asientos que hay en un camión, quitamos la tercera parte y aun quedan 20. ¿Cuántos asientos tiene el camión?AYUDAA
Creo que habría 80 asientos.
The number of ounces in an unknown number of pounds. Let z= the variable.
Answer:
16z
Step-by-step explanation:
z = the unknown number of pounds
16 ounces in 1 pound.
So z pounds = 16z
or it can be given as a proportion;
[tex]\frac{16 ounces}{1 pound} (z)[/tex]
Can someone help me with this please
Answer:
r = 59
Step-by-step explanation:
59 + r = 118
59 + r - 59 = 118 - 59
r = 59
Since 59 is being added to r, and you want r alone, you must subtract 59 from the left side of the equation. The rule is that you must do the same operation to both sides of the equation. Therefore, to solve for r, subtract 59 from both sides of the equation.
You need to buy new soil for your garden. Find the area of the garden. Use the dimensions shown in the picture.
A triangle with side lengths 16.75 meters, 11.5 meters, and 19 meters. The height of the triangle is 10 meters.
CLEAR CHECK
95 square meters
190 square meters
47.25 square meters
57.25 square meters
Answer:
95 square meters
Step-by-step explanation:
I am answering this question assuming 19 is the base because it is the longest side on the triangle. (there is no picture provided)
The formula for area of triangle is base * height * 1/2
So 19 * 10 *1/2 is 95.
Two skateboarders start a race at the same time skateboarder A travels at a steady rate of 15 feet per second skateboarder B travels at a steady rate of 22 feet per second after 4 minutes how much farther will skateboarder B have traveled?
Answer:
Step-by-step explanation:
Relative speed can play a major role in creating distance between two bodies. If the relative speed between two bodies is 0, then both the bodies are moving in the same direction with a similar speed. Thus, After 4 minutes, 1680 feet farther will Skateboarder B have traveled.
Skateboarder A travels at a steady rate of 15 feet per second.
Skateboarder B travels at a steady rate of 22 feet per second.
We need to determine that after 4 minutes, how much farther will Skateboarder B have traveled.
The formula for finding the distance travelled by anybody is represented below
Time is given that is 4 minutes which means 240 seconds.
Thus,
Distance travelled by skateboarder A
Distance travelled by skateboarder B.
Therefore, the separation of the distance between both the skateboarders is 5280 - 3600 = 1680.
Thus, After 4 minutes, 1680 feet farther will Skateboarder B have traveled.
Need NOW PLEASE.....
Answer:
8-(-8) = 8+8
8-8 = 8+(-8)
-8-(-8) = -8+8
-8-8 = -8+(-8)
10-9 = 10+(-9)
10-(-9) = 10+9
Step-by-step explanation:
Remember that if the signs are equal +,+ or -,- , they are positive (+)
if the signs are different like +,- or -,+ then they are negative (-)
You have an object with a mass of 5 kg. If it has a velocity of 4.7 m/s, what distance will the object travel if 98 newtons are applied to stop it?
69,420 ------------------------------------------------------------------------
Look at the equation 14n=98 work out the value of 14(n+1)
Answer:
The value of 14(n+1) is 112.
Step-by-step explanation:
14n=98
n=98/14
n=7
-------------
14(n+1)=14(7+1)=14(8)=112
Please, Help with this MATH question.
Can u help me please
Answer:
.50x4+15=x
Step-by-step explanation:
X=17
Solve for x in the hanger below
Answer:
x=3
Step-by-step explanation:
I need help. Whats the answer?
Eli is now one quarter of his father’s age. In 5 years’ time his age will be one third of
his father’s age. How old is Eli now?
Answer:
10
Step-by-step explanation:
This is because 10×4=40
10+5=15
40+5=45
45/15=3
Answer:
Step-by-step explanation:
Let E and F represent Eli and his Father's current ages.
We are told that E = (1/4)F. ["Eli is now one quarter of his father’s age"]
But in 5 years, that will be:
(E+5) = (1/3)(F+5) ["In 5 years’ time his age will be one third of
his father’s age"]
-------------
We have two equations and two unknowns. Find a way to eliminate one of the two variables and then solve for the remaining variable.
E = (1/4)F
(E+5) = (1/3)(F+5)
It seems to me the easiest would be to use the first equation's definition of E [=(1/4)F] in the second equation:
(E+5) = (1/3)(F+5)
((1/4)F+5) = (1/3)(F+5)
(1/4)F - (1/3)F = (1/3)*5 - 5
F - (4/3)F = (4/3)*5 - 20
-(1/3)F = (20/3) - (60/3)
-(1/3)F = (-40/3)
F = (120/3)
F = 40 years
E = 10 years (based on E = (1/4)F)
====
In five years: F is 45 and E is 15, which would make Eli 1/3 of his father's age in 5 years.
your friend has owned a dog for 9 year this is one year less than as
you just answered your own question
What is the perimeter and area of this shape
Would help if you explained why
Will give brainliest
Answer:
area: 133.5 m²perimeter: 52.02 mStep-by-step explanation:
AreaThe area of each trapezoid can be found using the relevant formula:
A = 1/2(b1 +b2)h . . . . b1, b2 are the base lengths; h is the height
For the top trapezoid, the height is 13 m-7 m = 6 m, so the area is ...
A = 1/2(8 m +5 m)(6 m) = 39 m²
The area of the bottom trapezoid is ...
A = 1/2(10 m +17 m)(7 m) = 94.5 m²
The area of the shape is the sum of the areas of the two trapezoids.
area = 39 m² +94.5 m² = 133.5 m² . . . . area of the figure
__
PerimeterThe horizontal lengths are all marked, but the slant lengths are not. There are no angles or other information given that can help determine the slant lengths. In order to answer the question, we can assume that the trapezoids are isosceles. Then the base of the right triangle shown in the top trapezoid is (8 -5)/2 = 1.5 m. The height is 6 m. The Pythagorean theorem tells us the slant length is ...
s1 = √(1.5² +6²) ≈ 6.1847 . . . . meters
Similarly, the base length of the right triangle shown next to the bottom trapezoid is (17 -10)/2 = 3.5 m. The height is 7 m. The slant length of that one is ...
s2 = √(3.5² +7²) ≈ 7.8262 . . . . meters
__
The perimeter is the sum of the lengths of the sides. Note that the 17 m dimension includes 8 m that are not part of the boundary of the figure. The sum of lengths of the horizontal edges is ...
10 m +(17 -8 m) +5 m = 24 m
The sum of the lengths of the slant edges is ...
2·s1 +2·s2 = 2(6.1847 +7.8262) ≈ 28.02 . . . . meters
The perimeter of the figure is the sum of horizontal lengths and slant lengths:
24 m + 28.02 m = 52.02 m . . . . perimeter of the figure
Mario Andretti drives his race car 500 miles in 2.5 hours. What is his speed?
Answer:
His speed was 200.
Step-by-step explanation:
500/2.5 is 200.
Answer:
The speed of Mario Andretti's race car is 200 m/h.
Step-by-step explanation:
Speed = Distance/Time=> Speed = 500 miles/2.5 hours=> Speed = 200 miles/1 hourConclusion:
Therefore, the speed of Mario Andretti's race car is 200 m/h.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Which is an example of nonverbal communication?
O A. Test questions
O B. An outline
O C. Words like please
O D. Body posture
What is differentiation ?
Answer:
differentiate
for example what is difference between this and that
You are buying candles for an outdoor event. The candles you want come in boxes of 10, and you have enough money to purchase 20 boxes. How many candles can you buy?
Answer:
200 candles
Step-by-step explanation:
20*10 = 200
Can you please help me?!
Answer:
a. (2,1)
b. (0,2)
c. (4,0)
Step-by-step explanation:
2x+ 4y = 8 /2
x + 2y = 4
x = 4 - 2y and y = (4 - x)/2
a. x = 2 => y = 1
b. x = 0 => y = 2
c. y = 0 => x = 4
Find a counterexample to the statement below
“All prime numbers are odd”
Answer:
The number 2
Step-by-step explanation:
Answer:
"2 is prime and it is even"
Step-by-step explanation:
Which expression is equivalent to − 7 x + 6 ( x − 8 2 ) − 2 ( x + 3 ) + 10 ? A. − 3 x + 40 B. − 15 x − 20 C. − 3 x − 20 D. 15 x + 40
Answer: D i think
Step-by-step explanation:
The equivalent expression of the expression − 7x + 6 (x − 8/2) − 2 (x + 3) + 10 will be − (3x + 20). Then the correct option is C.
What is an equivalent expression?The equivalent is the expression that is in different forms but is equal to the same value.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ − 7x + 6 (x − 8/2) − 2 (x + 3) + 10
Simplify the expression, then we have
⇒ − 7x + 6 (x − 8/2) − 2 (x + 3) + 10
⇒ − 7x + 6x − 24 − 2x − 6 + 10
⇒ − 3x − 20
⇒ − (3x + 20)
The equivalent expression of the expression − 7x + 6 (x − 8/2) − 2 (x + 3) + 10 will be − (3x + 20). Then the correct option is C.
More about the equivalent link is given below.
https://brainly.com/question/889935
#SPJ5
A first number plus twice a second number is 5. Twice the first number plus the second totals 13. Find the numbers.
Let a and b = the numbers we must find.
a + 2b = 5.....Equation A
2a + b = 13.......Equation B
We have a system of equations in two variables.
I will solve A for little a.
a + 2b = 5
a = 5 - 2b
Now I will plug 5 - 2b for a in B.
2(5 - 2b) + b = 13
10 - 4b + b = 13
-3b = 3
b = -1
To find a, replace b with -1 in EITHER A or B.
I will use Equation A.
a + 2b = 5
a + 2(-1) = 5
a - 2 = 5
a = 7
The two numbers are -1 and 7.
Understand?
Find the equation of the line with slope of 2 passing through (3,1)
pplleeaassee
The equation of the line is y-2x+5=0 I believe. Good luck :)