Answer:
Determine the point of intersection by using substitution and solving for the variables.
Explanation:
Solving a system of equations imply we find the point of interception.
To do this, we must use substitution to find one variable, and use that value to determine the exact value of the other.
Here, we'll isolate
x
.
−
2
x
−
2
y
=
−
4
−
2
x
=
2
y
−
4
x
=
−
y
+
2
Now that we have our variable expression, we can sub this into the other equation and solve for
y
.
2
x
+
3
y
=
9
2
(
−
y
+
2
)
+
3
y
=
9
−
2
y
+
4
+
3
y
=
9
4
+
y
=
9
y
=
5
Now that we know our
y
value, we can sub it into any equation to solve for
x
.
x
=
−
y
+
2
x
=
−
(
5
)
+
2
x
=
−
5
+
2
x
=
~
3
Thus, our point of intersection is
(
~
3
,
5
)
.
If we graph the two equations, we can see the point of intersection is in fact
(
~
3
,
5
)
.
graph{(-2x-2y+4)(2x+3y-9)=0 [-8.875, 11.125, -0.36, 9.64]}
Hope this helps :)
how many more books would eric have to read to match the same number of books as mark?
Answer:
30 books
Step-by-step explanation:
Each book is equal to 10 books so you can see Mark has three more books than Eric. Multiply that by 10 and you get 30
1. Two boats leave a dock at the same time, but they are traveling in opposite
directions. The longest time either boat is capable of traveling without stopping is 6
hours. Boat F travels 200 miles north in x-1 hours, and boat G travels 160 miles south in
x hours.
The boat F spends a time of 3 hours to travel 200 miles north and the boat G spends a time of 4 hours to travel 160 miles south.
How to apply uniform motion to determine the travel time of two boatsIn this question we suppose that each boat travels at constant velocity. In this case and dimensionally speaking, the speed ([tex]v[/tex]), in miles per hour, is equal to the traveled distance ([tex]s[/tex]), in miles, divided by time ([tex]t[/tex]), in hours. Then, this problem can be represented by the following expression:
[tex]\frac{200}{x-1} = \frac{160}{x}[/tex] (1)
Now we clear [tex]x[/tex] within (1):
[tex]200\cdot x = 160\cdot (x-1)[/tex]
[tex]x = 4[/tex]
The boat F spends a time of 3 hours to travel 200 miles north and the boat G spends a time of 4 hours to travel 160 miles south. [tex]\blacksquare[/tex]
Remark
The statement is incomplete and poorly formatted. The complete statement is shown below:
Two boats leave a dock at the same time, but they are traveling in opposite directions at same speed. The longest time either boat is capable of traveling without stopping is 6 hours. Boat F travels 200 miles north in [tex]x-1[/tex] hours, and Boat G travels 160 miles south in [tex]x[/tex] hours. How much time does each boat travel?
To learn more on uniform motion, we kindly invite to check this verified question: https://brainly.com/question/12920060
Help me with this pls and thank you ?????
Answer:
y=3/4x-14
Step-by-step explanation:
Remember that slope-intercept form is y=mx+b
We can see that our givens is that the slope is 3/4 and our point is (8,-8)
Let's plug this in and solve for b (b is the y-intercept)
-8=3/4*8+b
-8=24/4+b
-8=6+b
-14=b
Now we write out the equation which is y=3/4x-14
The length of cassidy's bed is 9 1/4 if the area of the comforter is 69 3/8 square feet what is the width of the comforter
area of triangle = W × B
area of a triangle is = 552/8
552/8 = 37/4 × W
552/8 = 37W/4
8•37W = 4•552
296W = 2208
W = 7.5
width : 7.5 feet
Explanation:
area of rectangle : Length * Width
Given,
area : 69 3/8length : 9 1/4solve:
[tex]\rightarrow \sf 69\dfrac{3}{8} = 9\dfrac{1}{4} * Width[/tex]
[tex]\rightarrow \sf \dfrac{69.375}{9.25} = width[/tex]
[tex]\rightarrow \sf width = 7.5[/tex]
Jack drives to his grandmother’s house at a constant rate of 65 miles per hour. If he can get to her house in 2 hours, how far does he live from his grandmother?
O:63
O:67
O:130
O:195
Answer:
130
Step-by-step explanation:
just multiply 65 by 2 and you get 130
Anyone know the answer to all of them added together
Answer:
13x + 14
Step-by-step explanation:
5x + 6 + 3x = 8x + 6.
8x + 6 + x + 1 + x + 1 + 2= 10x + 10
10x + 10 + (2²)(i think) = 10x + 14
10x + 14 + 3x = 13x + 14
final answer
Answer:
[tex]13x+14[/tex]
Step-by-step explanation:
First take all the sides and add:
[tex]5x+6+3x+3x+2+2+2+x+1+x+1[/tex]
Then Combine Like terms:
[tex]5x+3x+3x+x+x+6+2+2+2+1+1[/tex]
There is your answer:
[tex]13x+14[/tex]
(If I misunderstood the handwriting, please tell me, and I will fix my mistakes)
An angle measures 66° more than the measure of its supplementary angle. What is the measure of each angle?
A=
B=
Find the common ratio of the geometric sequence -4,12,-36
Answer:
-3
Step-by-step explanation:
a= -4
So the first and second should be multiply together
first=-4
second=12
12/-4=-3
Describe these points with a double inequality
Answer:
please make brainiest
There are 49 students had their lunch in the cafeteria. One-
seventh of them brought lunches from home. How many
students brought lunches from home? students
Elissa needs 8.5 inches of thread to make a friendship bracelet. What is the maximum number of bracelets she can make with 40 inches of thread?
Answer:
4
Step-by-step explanation:
Elissa uses 8.5 inches of thread per bracelet.
She has 40 inches of thread.
To find the maximum number of bracelets she can make, we need to divide.
40 / 8.5 = 4.70588...
We cannot have an unfinished bracelet, so we have to round down.
She can make 4 bracelets with 40 inches of thread.
Answer:
4 bracelets
Step-by-step explanation:
if 8.5 inches makes 1 friendship bracelet
what about 40inches
8.5inches=1 bracelet
40 inches=?
cross mulltiply
40x1
-------
8.5
=4 12/17 bracelets
12/17 of a bracelet is not a complete one
=4 complete friendship bracelets
aaaaaand 4 happy friends
Wilma loves to run she ran 1 hour and 15 minutes 3 days this week
If Wilma ran 1 hour 15 minutes and 3 days this week, the number of minutes she ran in total is 4395 minutes.
How to converts hours, days to minutes
She loves to run and she ran 1 hour and 15 minutes 3 days this week. Therefore, the total time in minutes she ran can be calculated as follows:
1 hour = 60 minutes
1 days = 24 hours
3 days = 72 hours
Therefore,
1 hours = 60 minutes
72 hours = 4320 minutes
Hence,
The total minutes she ran = 60 + 15 + 4320 = 4395 minutes
The question is How many minutes did Wilma run in total?
learn more on minutes here: https://brainly.com/question/26140037
ype the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
A science lab has several beakers containing different amounts of the same liquid, as shown in the line plot.
If all the liquid from the beakers is poured into one empty container that can hold exactly 4 liters, how much more liquid can the container hold?
liter(s)
Answer:
4/8 or 1/2
Step-by-step explanation:
Convert all size to x/8
1/4=2/8 and 1/2=4/8
Multiply size of beaker by how many there are filled
1/8 * 2= 2/8
2/8*7= 14/8
4/8*3 =12/8
then add all of them together = 28/8
convert 4 liters to 32/8
Subtract 32/8 - 28/8 = 4/8
What is the poh of a solution of hno3 that has [oh– ] = 9.50 × 10–9 m? round to the nearest hundredth.
The hydroxide-ion concentration or pOH of HNO₃ solution comes to be 8.02.
What is the pOH of the solution?The pOH of a solution is the negative logarithm of the hydroxide-ion concentration.
or pOH = -log[OH⁻]
The hydroxide-ion concentration OH⁻ of HNO₃ solution = 9.5 * 10⁻⁹ million.
So, the pOH of the HNO₃ solution =-log[9.5* 10⁻⁹] = 8.02
Therefore, the hydroxide-ion concentration or pOH of HNO₃ solution comes to be 8.02.
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Answer:
8.02
Step-by-step explanation:
trust
Combine like terms to
simplify the
expression below.
5 + 2b - 2.
=
[?]b + +
Answer:
[tex]\boxed{\sf{2b+3}}[/tex]
Step-by-step explanation:
In order to solve this problem, first you need to simplify the expression to use a distributive property.
Distributive property:
[tex]\sf{A(B+C)=AB+AC}[/tex]
5+2b-2
Switch sides.
2b+5-2
Combine like terms.
You have to subtract by the numbers from left to right.
Solve.
5-2=3
2b+3
So, the correct answer is 2b+3.I hope this helps you! Let me know if my answer is wrong or not.
Eli was swimming upstream in a river and lost a plastic bottle at bridge A. He noticed the loss after swimming 10 minutes , so immediately started to swim downstream to catch it. He caught it at bridge B, which was 1 mile away from bridge A. What was the rate of water flow in miles per hour?
Using proportions, it is found that the rate of water flow was of 6 miles per hour.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, the bottle flowed 1 mile in 10 minutes. How much does it flow in 1 hour = 60 minutes? The rule of three is given by:
1 mile - 10 minutes
x miles - 60 minutes
Applying cross multiplication:
10x = 60
x = 60/10
x = 6.
Hence, the rate of water flow was of 6 miles per hour.
More can be learned about proportions at https://brainly.com/question/24372153
help asap please)
The vertices of a trapezoid are shown below.
P(0,0),Q(4,0),R(4,6),S(0,12)
This trapezoid is dilated about the origin by a scale factor of 4. What is the location of point P?
A. (0,0)
B. (4,0)
C.(4,4)
D.(0,4)
Answer: A
Step-by-step explanation:
You can multiply the coordinates by 4, giving (0,0)
solve the following
7(-2x+4)=-4x
PLS TELL ME QUICKLY
Answer:
x = 2.8
Step-by-step explanation:
[tex]7\left(-2x+4\right)=-4x[/tex]
[tex]-14x+28=-4x[/tex]
[tex]\mathrm{Subtract\:}28\mathrm{\:from\:both\:sides}[/tex]
[tex]-14x+28-28=-4x-28[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]-14x=-4x-28[/tex]
[tex]\mathrm{Add\:}4x\mathrm{\:to\:both\:sides}[/tex]
[tex]-14x+4x=-4x-28+4x[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]-10x=-28[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}-10[/tex]
[tex]\frac{-10x}{-10}=\frac{-28}{-10}[/tex]
[tex]x=\frac{14}{5}[/tex]
[tex]x=2.8[/tex]
[RevyBreeze]
A spinner is divided into four equal sections labeled A, B, C, D. After 50 trials, the spinner landed on A 14 times, on B 13 times, on C 7 times, and on D 16 times. If the spinner is spun again, what is the theoretical probability that it does not land on D?
Answer:
17/25
Step-by-step explanation:
P(not red)=Number of Skittles Not Red/Total Number of Skittles
Part 2. Show your work in solving the equation. Include the work to check your solution and show that your solution is extraneous. that has an extraneous solution. that does not have an extraneous solution. Part 3. Explain why the first equation has an extraneous solution and the second does not.
Extraneous solutions are the values that we get when solving equations which aren't really solutions to the equation.
What are extraneous solutions?Your information is incomplete. Therefore, an overview will be given. An extraneous solution is the root of a transformed equation which is not a root of the original equation since it was excluded from the domain of the original equation.
The reason extraneous solutions exist is simply that some operations produce extra answers, and these operations are a part of the path to solving the problem.
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a triangle has angle measurements of 61°, 84°, and 35°. is this triangle isosceles?
Answer: No
Step-by-step explanation:
This is not an isosceles triangle because there are different angle measurements. The rule of an isosceles triangle is that it must always have two equal sides and angles.
if (3/8)/(2/3)=(3/8)*(3/x), then x= ?
Answer:
[tex]\fbox{x=4.5}[/tex]
Step-by-step explanation:
[tex] \frac{ \frac{3}{8}}{ \frac{2}{3} } = \frac{ \frac{3}{8}}{ \frac{3}{x} } [/tex]
Multiplying LHS & RHS with 3/8,
[tex]\frac{1}{\frac{2}{3}} = \frac{1}{\frac{3}{x}}[/tex]
Taking reciprocal both the side,
[tex] \frac{3}{2} = \frac{x}{3} [/tex]
Cross multiplying and dividing,
[tex]9 = 2x \\ x= \frac{9}{2} \\ x= 4.5[/tex]
[tex]\fbox{x=4.5}[/tex]
Thanks for joining brainly community!
Pls help me thank you God bless
Answer:
8
Step-by-step explanation:
10/3 divided by 5/12
10/3 multiple 12/5
So the 3 and 12 will cross out same as 10 and 5 then we will get 8 as an answer
does somebody know how to find area of a trapizoid???
Answer:
To find the area of a trapezoid, multiply the sum of the bases (the parallel sides) by the height (the perpendicular distance between the bases), and then divide by 2.
Step-by-step explanation:
:) Hope this helps you with what you're working on!
Answer:
well, here's the formula!
Step-by-step explanation:
area = (1/2) · (p + q) · h
How do you write
–514 11/12 as a decimal
Answer:
what does the -514 relate with 11/12?
Step-by-step explanation:
11/12 written as a decimal is .91
Answer:
It would be -514.916 with a _ over the six.
Step-by-step explanation:
11/12 is equal to 0.916666, where the six goes on forever. This is called a repeating decimal. In a repeating decimal, you would put this symbol _ over the number that repeats, in this case, 6. Or you would round, but that"s not given in this question.
find the missing side length please!
Answer:
20.25
Step-by-step explanation:
The area of a rectangle is calculated by multiplying its width and length:
The area of the smaller rectangle is given as 9 ft^2 so to find its width we divide the given area with length which is 4.5
9/(4.5) = 2
The given rectangles are similar so their side lengths must be proportional
(4.5)/x = 2/9 cross multiply expressions
2x = 40.5 divide both sides by 2
x = 20.25
Rita buys a box of chocolates for every two plain chocolate there are three milk chocolates there are 30 chocolates in the box how many milk chocolate are there?
Answer:
there are 18 milk chocolates
Answer:
Step-by-step explanation:
convert it to fraction first: 2/5 are plain and 3/5 is milk
30÷5= 6
2x6=12
3x6=18
to check wheter or not it is correct add the amount. if it gets the total, it is correct.
Identify the three similar triangles in the figure. Be sure to name the vertices in the correct order
(Please help)
Answer:
BDC and ADB
Step-by-step explanation:
I use 1/12 of my salary to pay for rates and taxes,1/16 to pay for insurance and 5/6 to meet other expenses. if i have r320 left of my monthly salary, calculate my yearly salary.
The yearly salary after paying for taxes, insurances and other expenses is r808.42.
What is the yearly salary?The first step is to determine the total fraction used to pay for taxes, insurances and other expenses:
1/2 + 1/16 + 5/6
(48 + 6 + 80) / 96 = 134 / 96= 1 19/48
Now subtract 1 19/48 from 1
1 19/48 - 1 = 19/48
Finally, divide 19/48 by 320
320 x 48/19 = r808.42
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3 Jade buys a blouse and a skirt for of their original price. She pays a total of $31.50 for the two items. If the original price of the blouse is $18, what is the original price of the skirt?
Answer:
$13.50
Step-by-step explanation:
if the total is $31.50, it is both the blouse and the skirt together, so uf you take away the blouse from the total ($31.50 - $18) then yiu are keft with the price of the skirt