Answer:
the solution is x = 2 and y = 4 OR (2,4)
Step-by-step explanation:
From the question
Equation 1: 3x-2y= -2
Equation 2: 3x + y = 10
Subtract equation 1 from equation 2, that is
3x + y = 10 - (3x -2y = -2)
You get
3x - 3x + y - (-2y) = 10 - (-2)
0 + y + 2y = 10 + 2
3y = 12
Divide both sides by 3
∴ y = 12/3
y = 4
Substitute the value of y into equation 2 to get x
3x + y = 10
3x + 4 = 10
Then,
3x = 10 - 4
3x = 6
Divide both sides by 3
∴ x = 6/3
x = 2
Hence, the solution is x = 2 and y = 4
Explain why each statement is true. 5 + 2 + 3 = 5 + (2 + 3)
Answer:
Associative property of addition. Grouping different addends does not change the sum.
Step-by-step explanation:
5 + 2 + 3 = 5 + (2 + 3)
10 = 5 + (5)
10 = 10
how do you solve this?
Answer:
x=110(by vertical opposite angle)
The cost of a holiday is £2400
Rana pays a deposit followed by monthly payments, in the ratio
deposit : total of the monthly payments = 3:5
She makes 6 equal monthly payments. Work out her monthly payment
She makes 6 equal monthly payments. Then the monthly payment will be £666.67.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The cost of a holiday is £2400. Rana pays a deposit followed by monthly payments, in the ratio deposit: a total of the monthly payments = 3:5.
Then the total of the monthly payment will be given as,
£2400 / Total of the monthly payments = 3:5
Total of the monthly payments = (5/3) x £2400
Total of the monthly payments = £4,000
She makes 6 equal monthly payments. Then the monthly payment will be given as,
Monthly payment = £4,000 / 6
Monthly payment = £666.67
She makes 6 equal monthly payments. Then the monthly payment will be £666.67.
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What is the total surface area of a cylinder with a radius 5 meters and a height 7.2 meters
Answer:
383.27
Step-by-step explanation:
PLEASE HELP i’m not sure!!!!!!!!!!!!
Answer:
A
Step-by-step explanation:
B is wrong because the big one has two curve
C is wrong because the smallest one is not in the same position
D is wrong because the middle line of the biggest one is than the middle line of the smallest one
9x + 8y = -1
-7x – 8y = 15
Answer:
{y = 15/8 - (9 x)/8, y = -(7 x)/8 - 2}
{9 x + 8 y = 15, 7 x + 8 (y + 2) = 0}
Step-by-step explanation:
A car used 16 gallons of gasoline and traveled a total distance of 460 miles. The car's fuel efficiency is 30 miles per gallon on the highway and 25 miles per gallon in the city. How many gallons of gasoline were used on the highway.
Answer:
12 gallons
Step-by-step explanation:
Total gallons = 16 gallons
Total distance = 460 miles
Fuel efficiency in the highway = 30 miles per gallon
Fuel efficiency in the city = 25 miles per gallon
Let
h = gallons of gasoline were used on the highway.
460 = 30h + 25(16 - h)
460 = 30h + 400 - 25h
460 - 400 = 30h - 25h
60 = 5h
h = 60/5
h = 12 gallons
12 gallons of gasoline were used on the highway.
Franklin treated his sister to lunch while visiting her in Ashland. Their lunch cost $75, and the sales tax in Ashland is 8%. If Franklin left a 20% tip on the $75, how much in total did he pay?
Answer:
$96
Step-by-step explanation:
If you doing ixl M.10 Multi-step problems with percents
i did this question and it's 96.hope this helps
Total cost of pay for the lunch will be $96.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The cost of lunch = $75
Sales tax = 8%
Tip = 20%
Now,
The cost on sales tax = 8% of $75
= 8/100 x 75
= $6
Thus, The cost on sales tax = $6
And, The cost for tip = 20% of $75
= 20/100 x 75
= $15
Thus, The cost for tip = $15
So, Total cost to pay for lunch = $75 + $6 + $15
= $96
Thus, Total cost of pay for the lunch will be $96.
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At a bake sale, plates of cookies, p, are sold for $5 each. The amount of money from the sale of cookies is expressed as dollars, d. Which equation represents the earnings of the bake sale?
Correct Question:
At a bake sale, plates of cookies, p, are sold for $5 each. The amount of money from the sale of cookies is expressed as dollars, d. Which equation represents the earnings of the bake sale?
1. p = 5d
2. d = p + 5
3. d = 5p
Answer:
3. d = 5p
Step-by-step explanation:
As one plate of cookies price is 5 $
The d is expressed as numbers of dollars which are earned.
Earnings = d = 5 x number of plates sold (p)
therefore
d = 5p
Answer:
d+p5
Step-by-step explanation:
You were given 10 math problems for homework. You completed 6/10 of them at school. Which equation shows how to find the fraction of the problems you still need to do to complete your homework?
Answer:
Step-by-step explanation:
1 10
Students recorded the amount of liquid in fluid Ounces each of them drank In one day. The box plot shows the summary of the results. Amount of Liquid (fluid Ounces) Which statement best describes the data represented in the box plot?
Answer: The correct answer would be F. Half the students drank from 78 to 114 fluid ounces.
Step-by-step explanation:
The statement best describes the data represented in the box plot half the students drank from 78 to 114 fluid ounces. The correct option is F.
What is a box plot?A rectangle is created to represent the second and third quartiles, normally with a vertical line inside to indicate the median value, in a simple way of presenting statistical data on a plot.
Given that students recorded the amount of liquid in fluid Ounces each of them drank In one day. The box plot shows the summary of the results. Amount of Liquid (fluid Ounces).
The highest and the lowest limit of the box plot is range from 78 to 114. The statement best describes the data represented in the box plot half the students drank from 78 to 114 fluid ounces.
Therefore, the correct option for the box plot will be F.
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Find the missing angle measure.
52
Answer:
128
Step-by-step explanation:
Sum of interior angles of a 4 sided quadrilateral is 360.
90 + 90 + 52 + x = 360
232 + x = 360
x = 360 - 232
x = 128
In the figure,Line x is parallel to line y. identify the angles congruent to angle 3
Answer:
For example, slide ∠ 1 down the transversal and it will coincide with ∠2. are equal in measure. If two parallel lines are cut by a transversal, the corresponding angles are congruent. If two lines are cut by a transversal and the corresponding angles are congruent, the lines are parallel.
Step-by-step explanation:
A van travelled at an average speed of 65 km/hr from town a. 35 minutes later, a car started from town A and drove along the same route as the van. if the car caught up with the van after travelling a distance of 130 km, find the average speed of the car in km/hr
The average speed of the car for the given distance is 91.97 km/hr.
What is speed and velocity?While both speed and velocity are indicators of how quickly an object is travelling, they serve different purposes. The distance travelled in a given amount of time, independent of direction, is referred to as speed, which is the magnitude of the velocity vector. In contrast, velocity is a vector quantity that accounts for both speed and direction. It is measured in units of distance per unit of time in a particular direction and is defined as the rate of change of position of an item with regard to a frame of reference.
Given that, a car started 35 minutes later that is it started after:
35 minutes = 35/60 = 0.5833 hours
Now the distance is given as:
distance = speed x time
Now, for speed = 65 km/hr:
distance = 65t
For the car the time is (t - 0.5833) thus:
distance = speed x time
130 = speed x (t - 0.5833)
Now for speed we have:
30 = s x (t - 0.5833)
130 = st - 0.5833s
130 + 0.5833s = st
130/s + 0.5833 = t
Now, substituting the value of t in the equation of the van we have:
distance = 65t
distance = 65(130/s + 0.5833)
130/s + 0.5833 = distance/65
130/s + 0.5833 = distance/65
130/s + 0.5833 = 130/65
130/s + 0.5833 = 2
s = 91.97km/hr
Hence, the average speed of the car for the given distance is 91.97 km/hr.
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This is a scale drawing of a flag. The scale factor of a drawing to the actual flag is represented by the ratio 1:18. What is the area, in
square inches, of the actual flag?
Answer:
648 sq. in.
Step-by-step explanation:
The ratio of the flag is 1:18 and the question asks for the area of the flag.
To find the actual flag size, you got to multiply the width by 18.
Then you must multiply the length by 18.
A= LxW
A=36 x 18
A= 648 sq. in.
Therefore, the area of the actual flag is 648 sq. in.
If a boat goes down stream 72 milesind upstream 60 miles in 6 hours, the rate of the river and the rate of the boat in still water respectively are
Answer:
Speed of boat in still water = 11 miles per hour.
Step-by-step explanation:
Speed = distance / time
or
Distance= Speed * time
Let s be speed of the boat upstream and r be the speed of the river.
Then
Upstream speed= s- r = 60/6= 10 miles per hour
Downstream speed= s+r= 72/6= 12 miles per hour
Therefore
s-r= 10--------- equation A
s+r= 12--------- equation B
Adding equation A and Eq. b
s-r= 10--------- equation A
s+r= 12--------- equation B
2s = 22
or
s= 22/2= 11 miles per hour.
Speed of boat in still water = 11 miles per hour.
Determine the value of the expression: 5^4 × 5^8/5^6 Write your answer in exponential notation (in exponent form).
Answer:
5⁶
Step-by-step explanation:
We have
[tex]5^4*\frac{5^8}{5^6}\\\frac{x^n}{x^y}=x^{n-y}\\\frac{5^8}{5^6}=5^{8-6}=5^2\\x^n*x^y=x^{n+y}\\5^4*5^2=5^6[/tex]
write the equation, please.
Answer:
x^2+y^2 = 49
Step-by-step explanation:
This is a circle.
The generic equation of a circle is
(x-h)^2+ (y-k)^2 = r^2
where (h,k) is the center and r is the radius
The center of the circle is at the origin which is (0,0)
The radius is 7
(x-0)^2+(y-0)^2 = 7^2
x^2+y^2 = 49
Answer:
[tex] \displaystyle {x}^{2} + {y}^{2} = 49[/tex]
Step-by-step explanation:
we are given a circle
we want to figure out the equation of the circle
remember that,
[tex] \rm \displaystyle E _{c} : (x - {h)}^{2} + (y - k {)}^{2} = {r}^{2} [/tex]
(h,k) are the centre of the circle
we can clearly see that the centre of the circle is (0,0) and the redious is 7 units
thus substitute:
[tex] \displaystyle (x - {0)}^{2} + (y - 0{)}^{2} = {7}^{2} [/tex]
further simplification is needed:
[tex] \displaystyle {x}^{2} + {y}^{2} = 49[/tex]
and we are done!
Given that a 12 foot long piece of steel pipe weighs 5 pounds per foot, how much does it weigh in kilograms per meter?
1 pound - 0.454 kilograms.
1 foot - 0.305 meters.
A: 6.34 kg/m
B: 6.84 kg/m
C: 7.44 kg/m
D: 7.94 kg/m
Answer:
b
Step-by-step explanation:
if you add it all together that's the answer hope this helps!
14476 as a percentage
Answer: 1447600%
Step-by-step explanation: in order to convert number to percentage you’d have to multiply the given number by 100 and then add a percentage sign
Which of these is a simplified form of the equation 13z + 2 = 8 + 2z + 1z? (4 points)
a
10z = 6
b
10z = 10
c
4z = 6
d
4z = 10
Answer:
a part
Step-by-step explanation:
Answer is attached....
Hope it helps:)
Please help ~ +10 Points ~ 1 Question ~ Math ~ Multiple choice
What is an equivalent equation for each given equation? Which one matches after you do your first step?
6x+10=23
Possible Answers:
A. 6x=13
B. 6x = 33
C. 23 = 10 -6x
D. -23 =-6x+10
Patriciodeposits $500 in the same account that pays a 1.5% simple interest he does not withdraw any money from the account any makes no other deposits how much money does Patricio happiness saving account after 5 years
Answer: $537.5
Step-by-step explanation:
$500 at 1.5% for 5 years
p x r x t = i
500 x 0.015 x 5= 37.5
37.5+500=537.5
help!! pls i mark brainly answer
Answer:
On the left... True
On the right... False
Step-by-step explanation:
Find the area of the shape shown below.
Answer:
To find the area break up the shapes:
The rectangle is A = bh which is 7*3 which is 21.
Triangle: A = 1/2(bh)
A=1/2(3*7)
A=1/2(21)
A=10.5
Now add up the areas:
21+10.5
=
31.5
The answer is 31.5 units.
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Answer:
Real numbers are all the rational numbers such as -7 and 4/3 and all irrational numbers. Real numbers are used mainly in counting and are used in measurement which is always present in real-world situations. These numbers help us to quantify things around.
i don’t understand trig at all
Answer:
same bud
Step-by-step explanation:
Find the area of the figure. Round your answer to the nearest hundredth.
ft2
pls help first one correct gets branly points
Answer:
84.13
Step-by-step explanation:
4+4=8
14-8=6
the area of a circle is A=πr^2
A=π3^2
=28.27
divide is by 2 cos its a semi circle
28.27/2
14.13+(5x14)
14.13+70=84.13
Which graph represents y as a function of x
Answer:
there is no gragh
Step-by-step explanation:
What type of linear equation is the following?
x + 2y = 200
1) Standard Form
2) Slope-Intercept Form
3) Point-Slope Form
4) Horizontal Form