Given :
A system of equations y = 5.69x + 25 and y = 9.49x + 6.
To Find :
The solution of the system of equation.
Solution :
Subtracting equation 2 by 1, we get :
y - y = ( 9.49x + 6 ) - ( 5.69x + 25 )
0 = 3.8x - 19
x = 5
Putting value of x in equation 1, we get :
y = (5.69×5) + 25
y = 53.45
Therefore, the solution of the system of equations is ( 5, 53.45 ).
Solve.
-52-3
2
21
-21
Dons -
Answer & Step-by-step explanation:
-52-3+2+21-21 =
-55+2+21-21 =
-53+21-21 =
-32-21 =
-53 =
Any help? Still learning this so it’s not of a problem. Thanks!
N a survey, 75% of respondents said that they watch TV for one hour each day. If 30 respondents said they watch TV for one hour each day, how many respondents took the survey in total? A 70
Answer:
40 respondents
Step-by-step explanation:
Percentage of respondents who watch TV for one hour each day = 75%
Number of respondents who watch TV for one hour each day = 30
Let [tex]x[/tex] denotes total of respondents who watch TV for one hour each day.
Therefore,
[tex]\frac{75}{100}x=30\\\\x=\frac{100}{75}(30)=40[/tex]
Am I right?
Plz tell me
Answer:
yes
Step-by-step explanation:
Answer:
Yes you are right,
WILL MARK BRAINLIEST
Which of the following are independent events?
randomly choosing a marble from a bag, replacing it, and choosing again reaching into your pocket and pulling out two dimes out of 20 coins
drawing a number from a hat, not replacing it, and then drawing a second number
rolling a number cube, rolling again, and trying to match the first roll
I believe the second one : drawing a number from a hat, not replacing it, and then drawing a second number
Answer:
The first choice.
Step-by-step explanation:
An independent event is an event where the probability of the event doesn't affect the probability of the other.
Randomly choosing a marble from a bag, replacing it, and choosing again reaching into your pocket and pulling out two dimes out of 20 coins.
- This is an independent event since the probability of the first event doesn't affect the probability of the second event in any way.
A drink is mixed in the ratio lemonade : orange : cranberry = 6 : 3 : 2 What fraction is orange?
Answer:
3/11
Step-by-step explanation:
If we add all the numbers together we get 11.
6 + 3 + 2 = 11
Therefore there are 11 parts altogether in the drink.
Orange is 3 parts out of all, so that means it is 3/11 in fraction-form.
Solve the system.
4x + 3y = 10
9x - 4y= 1
After solving the given equations, the value obtained for x and y will be equal to (1, 2).
What is an equation?Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.
This relationship is illustrated by the left and right expressions being equal to one another. The left-hand side equals the right-hand side is a basic, straightforward equation.
As per the given equations in the question,
4x + 3y = 10 (i)
9x - 4y = 1 (ii)
Multiply equation (i) by 9 and multiply equation (ii) by 4
36x + 27y = 90
36x - 16y = 4
A similar term of x will cancel out from here.
y = 86/43
y = 2
Put y = 2 in equation (i)
4x + 3(2) = 10
4x = 4
x = 1
To know more about equation:
https://brainly.com/question/29657983
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Henry buys a softball for $16 plus a 9% tax. Ella buys a pair of shoes for $17 plus a 9% tax. Enter the difference in the amount Henry and Ella paid, including tax.
Round your answer to the nearest cent.
Answer:
$1.09
Step-by-step explanation:
1) Sales Tax Amount = Net Price x (Sales Tax Percentage / 100)
2) Total Price = Net Price + Sales Tax Amount
E= $18.53
H= $17.44
18.53 - 17.44= 1.09
You know you need to show your work.
Charles is planning a trip to Guatemala. He has allocated $415 for spending money. If the exchange rate from US
dollars to Guatemalan quetzals is 1:8.5135. how much money does Charles have, as measured in quetzals? Round
your answer to two decimal places.
3,533.10 quetzals
b. 2,131.02 quetzals
768.31 quetzals
d. 48.75 quetzals
Answer:
A
Step-by-step explanation:
Charles have 3533.10 quetzals.
What is unit conversion?It is the conversion of one unit to another unit with its standard conversion.
Examples:
1 hour = 60 minutes
1 minute = 60 seconds
1 km = 1000 m
We have,
Charles allocated amount for spending = $415.
The exchange rate from US dollars to Guatemalan quetzals.
= 1 : 8.5135
This means,
$1 = 8.5135 quetzals
Now,
$1 = 8.5135 quetzals
Multiplying 415 on both sides.
$415 = 415 x 8.5135
$415 = 3533.1025 quetzals
Rounding to two decimal places.
$415 = 3533.10 quetzals.
Thus,
Charles has 3533.10 quetzals.
Learn more about unit conversion here:
https://brainly.com/question/13899873
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Solve for b
-1/3b=9
B=-27
B=-3
B=3
B=27
Step-by-step explanation:
[tex] - \frac{1}{3} b = 9 \\ b = -9 \times 3 \\ b = - 27[/tex]
Answer:
b=−27
Step-by-step explanation:
took the quiz and got it right
Who can answer these?
3) Which of the expressions shown below has a value of 1/4?
A) lll only
B)l,ll, and lll only
C)ll only
D)ll and lll only
Answer:
it is number 3. or III.
Step-by-step explanation:
hope this helps
pls answer 5a b and c for brianlist
5.a) Steve - 60=5×12
= 5×3×2×2
5.b) Ian - 60=6×10
= 3×2×5×2.
Discussion - The prime factors reduce to the same numbers in both Steve's and Ian's case.
5.c) Case 1 of 48 = 6×8
= 3×2×2×2×2.
Case 2 of 48 = 12×4
= 2×2×3×2×2.
A factory uses 15 pounds of steel for every 18 pounds of copper. How much copper will the factory use for 2,700 pounds of steel?
Answer:
3240 pounds of copper would be used
Step-by-step explanation:
[tex]\frac{18}{15}=\frac{x}{2700} \\(2700)*(\frac{18}{15})=x\\3240lbs=x[/tex]
plz help me will give brainliest
Answer:
10
Step-by-step explanation:
Factor2.x2 + 13x – 7
Answer:
0.2 ( 65x − 24 ) hope this is correct and helps you
Find the height of a cuboid whose volume is 540cu.cm and base area is 90sq.cm
Answer:
6 cm
Step-by-step explanation:
Vcuboid = lwh
⇒ h = Vcuboid ÷ lw
∴ h = 540 cm³ ÷ 90 cm²
⇒ h = 6 cm
A volleyball camp charges $150 per camper for 10 campers. When a team brings 15 campers, the rate is reduced to $125 per camper.
What is the rate of change in cost per camper?
Answer:
the answer is eight dollars and thirty four cents $8.34
What is the slope of (0,-1) and (5,-5)
random question: (18+6786+(5!))/89.5
Answer:
77.36312849162011
Step-by-step explanation:
A new car is purchased for $40,000 and over time its value depreciates by one half
every 3 years. What is the value of the car 17 years after it was purchased, to the
nearest hundred dollars?
9514 1404 393
Answer:
$800
Step-by-step explanation:
The value formula can be written ...
y = 40,000(1/2)^(t/3)
Using t=17, this becomes ...
y = 40,000(1/2)^(17/3) ≈ 800
The value of the car after 17 years is about $800.
Un tren transporta 268 pasajeros en cada viaje.Si realiza 8 viejes diarios, 5 dias a la semana, ¿cuantas personas podria transportar en tota?
308 personas por qué
268+8×5=308
The Cinemania theater showed 108 different movies last year. Of those, 15 movies were action movies
Answer:
The probability that the next will be an action movie [tex]13.89[/tex] %
Step-by-step explanation:
The complete question is
The Cinemania theater showed 108 different movies last year. Of those, 15 movies were action movies. Based on this data, what is a reasonable estimate of the probability that the next movie is an action movie?
Solution
Total number of movies shown last year [tex]= 108[/tex]
Total number of action movies out of these [tex]108[/tex] movies [tex]= 15[/tex]
The probability that the next will be an action movie
[tex]= \frac{15}{108} * 100[/tex]
[tex]13.89[/tex] %
Given the right triangle, what should be the measurment for the hypotenuse?
Answer:
2x...................
A cone has a diameter of 22 inches and a height of 15 in. What is the volume
of the cone? (Use 3.14 as an approximation of)*
Answer:
1899.7 in^3.
Step-by-step explanation:
Radius = 1/2 diameter
= 22 * 1/2 = 11.
Volume = 1/3 pi r^2 h, so
= 1/3 * 3.14 *1 1^2 *1 5
= 1899.7 in^3.
expand and simplify (x-2)(2x+4)
Answer:
[tex]2 {x}^{2} - 8[/tex]
hope it's helpful ❤❤❤
THANK YOU.
Answer:
2x² - 8
Step-by-step explanation:
Given
(x - 2)(2x + 4)
Each term in the second factor is multiplied by each term in the first factor, that is
x(2x + 4) - 2(2x + 4) ← distribute both parenthesis
= 2x² + 4x - 4x - 8 ← collect like terms
= 2x² - 8
What are rational and irrational numbers and how are radicals related to rational exponents?
A rational numbers is any number that can be turned into a fraction/ratio. (Ex. 8, 0.75, 1/3). An irrational number is anything that can't be turned into a fraction/ratio. (Ex. Pi, square root of 2). Radicals and rational exponents are related because radicals can be converted into rational exponents.
Answer:
Any number that can be written as a fraction with integers is called a rational number. An irrational number is a number that cannot be expressed as a fraction for any integers. Radicals are related because for irrational numbers they cannot be simplified under the radical and you use a radical on the exponent to cancel it out, hope this helps!
Step-by-step explanation:
Satellites technology and ______technology help in telecast of programmes
Radar
Wireless
Cable
During
What is r - 8.5 = -2.1 pls help♥️
Answer:
r=6.4
Step-by-step explanation:
Get r by itself you need to add 8.5 to get 6.4
Hope this helps (:
Answer:
r-8.5=-2.1
r=-2.1+8.5
r=6.4
Step-by-step explanation:
Sarah draws a square that has a side that measures 35.2 mm. What is the perimeter of the square?
Answer:
140.8 cm2
Step-by-step explanation:
a spare has 4 sides so you need to times 35.2 by 4 which is 140.8