Answer:
Q1: No solutions
Q2: x=2, y=-2
Q3: x=1, y=4
Step-by-step explanation:
Q1: Found out 0y = 18 which is impossible therefore no solution.
Q2:
In the first equation: [tex]2x - 4y = 12[/tex]
Let's express x in terms of y by changing the subject. Follow my steps.
[tex]2x = 12+4y[/tex]
[tex]x = \frac{12+4y}{2}[/tex]
Now let's put the x above into the second equation: [tex]-14x-4y=-20[/tex]
It becomes: [tex]-14(\frac{12+4y}{2})-4y=-20[/tex]. Follow my steps.
[tex]-7(12+4y)=-20+4y[/tex]
[tex]-84-28y=-20+4y[/tex]
[tex]-32y=64[/tex]
[tex]y=-2[/tex]
Put y = -2 into the first equation:
[tex]2x-4(-2)=12[/tex]
[tex]2x+8=12[/tex]
[tex]2x=12-8[/tex]
[tex]2x=4[/tex]
[tex]x=2[/tex]
Q3:
Multiply the first equation by 3 and the second equation by 7, so that both are 21x.
1st equation:
[tex]3(7x-3y)=3(-5)[/tex]
[tex]21x-9y=-15[/tex]
2nd equation:
[tex]7(3x+2y) = 7(11)[/tex]
[tex]21x+14y = 77[/tex]
We can now substract the 2nd equation with the 1st equation so that both 21x cancels out and only the variable y remains.
[tex]21x-9y-(21x+14y)=-15-77[/tex]
[tex]21x-9y-21x-14y=-92[/tex]
[tex]-23y=-92[/tex]
[tex]y=4[/tex]
Put y = 4 into the second equation to find x.
[tex]3x+2(4)=11[/tex]
[tex]3x+8=11[/tex]
[tex]3x=11-8[/tex]
[tex]3x = 3[/tex]
[tex]x=1[/tex]
Evaluate the piecewise function for f(-2).
A. -15
B. -13
C. 11
D. 17
if you answer this correctly, i will give you a Brainly :D
Answer:
trapizoide
Step-by-step explanation:
Among the 20 pirates of the Flightless Folly
crew, 4 of them own a pet crab each. What
percentage of pirates on board the ship own
a pet crab?
Answer:
20 percent
Step-by-step explanation:
4/20 or 1/5 or 20 percent
Can someone help with the third one
Answer: 45%
Step-by-step explanation:
27/60 squares are covered
I reduced the fraction to 9/20, multiplied by 5 to make the denominator 100 and the numerator is 45, therefore fraction is 45/100.
Solve the equation.
-36= -6(2x-14)
1. 10
2. 1.8
3. 24
4. 4
isn’t it some crazy long number?
what is 30% of 90???
Answer:
30 percent of 90 is 27
Answer:
27
Step-by-step explanation:
What is 30 percent (calculated percentage %) of number 90? Answer: 27.
1. In this scale drawing of Mr. Sanchez's garden,
each square represents 1 square meter. What
is the perimeter of the garden?
A. 36 meters
C. 48 meters
B. 45 meters
D. 51 meters
Garden
Answer:
A 36 meters
Step-by-step explanation:
the perimeter is the sum of all sides around the object.
and 1 m² is a square with 1m side length.
so, we only need to count the bordering squares.
we have
12 + 3 + 3 + 5 + 2 + 3 + 3 + 5 = 36 m
I guess, we are only doing the first drawing, right ?
Find the values of the missing arc or find x
Answer: x=3
Step-by-step explanation:
Which of the following is the best estimate for the direction of the given vector?
A. 60° N of E
B. 60° E of N
C. 60° W of S
D. 60° S of W
Answer:
A. 60-degrees N of E because it is closer to the east than the north.
Step-by-step explanation:
Help please
(3/5)^2
[tex]( { \frac{3}{5} })^{2} [/tex],
[tex] \frac{9}{25} [/tex]
is the answer
Answer:
(3/5)by2
Step-by-step explanation:
3/5
3*3=9
5*5=25
9/25
an art teacher had 2/3 gallon of paint to pour into containers. if he poured 1/8 gallon of paint into each container until he ran out of paint, how many containers had paint in them, including the one that was partially filled?
1
SEE ANSWER
Answer:
6 containers
Step-by-step explanation:
This problem is asking us to divide the total 2/3 gallons by the 1/8 gallon of paint being poured into each container.
Given:
[tex]\frac{2}{3} /\frac{1}{8}[/tex]
"Keep, change, and flip:"
[tex]\frac{2}{3}*\frac{8}{1}[/tex]
Multiply across:
[tex]\frac{2*8}{3*1} =\frac{16}{3}[/tex]
Simplify:
5 [tex]\frac{1}{3}[/tex]
Since the problem is counting the one partially filled, we round 5 [tex]\frac{1}{3}[/tex] up to be 6 containers with paint in them.
Round 324,145
to the nearest
hundred thousand.
Answer:
320,145
Step-by-step explanation:
Anything under 5 goes down and anything above 5 goes up.
Answer:
300,000
Step-by-step explanation:
Given the following question:
[tex]324145[/tex]
To round to the nearest hundred thousand of this number we must first find the hundred thousand place value and then determine if the number next to that place value is greater than five, if so, we can round the number up.
[tex]324145[/tex]
[tex]PV=3[/tex]
[tex]2 < 5[/tex]
[tex]=30000[/tex]
Rounded to the nearest hundred thousand "300,000" is your answer.
Hope this helps.
What is 5.72x10^3 in standard form
Answer:
0.00572
Step-by-step explanation:
pretty sure thats the answer
1/cosec theta-cot theta-1/sin theta =to prove 1/sin theta-1/cosec theta+cot theta
Answer:
wat is dat about? :3
pls helpppppppppppppp
Answer:
-1/36
Step-by-step explanation:
-5/18 - ( -1/4)
Subtracting a negative is like adding
-5/18 + 1/4
Getting a common denominator of 36
-5/18 *2/2 + 1/4 *9/9
-10/36 + 9/36
-1/36
i need help ASAP!!!!!
Answer:
The correct answer should be 4
Type the correct answer in each box. Spell all the words correctly, and use numerals instead of words for numbers. If necessary, use / for the fraction bar(s). We can show that ∆ABC is congruent to ∆A′B′C′ by a translation of unit(s) and a across the -axis. Reset Next
Answer:
We can show that ∆ABC is congruent to ∆A′B′C′ by a translation of (x-2, y) unit(s) and a across the x-axis.
Step-by-step explanation:
The triangle ABC is shown in the image attached. The coordinates of the triangle are A(8, 8), B(10, 4), C(2, 6), while the triangle A'B'C' is at A'(6, -8), B'(8, -4), C'(0, -6).
A transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, dilation and rotation.
If a point O(x, y) is translated a units on the x axis and b units on the y axis, the new coordinate is O'(x+a, y+b).
If a point O(x, y) is reflected across the x axis, the new coordinate is O'(x, -y)
Hence if triangle ABC is translated -2 units on the x axis (2 units left), the new coordinates are A*(6, 8), B*(8, 4), C*(0, 6). If a reflection across the x axis is then done, the new coordinates are A'(6, -8), B'(8, -4), C'(0, -6).
Answer:
We can show that ∆ABC is congruent to ∆A′B′C′ by a translation of 2unit(s) left and reflected across the x-axis.
Step-by-step explanation:
Find two integers with a product of −40 and a sum of −3.
Find the area. Help please!!!!
helpppppppppppp meeeeee
Form the perfect square trinomial in the process of completing the square. what is the value of c? x2 3x c = startfraction 7 over 4 endfraction c c =
While making a perfect square for the given quadratic equation [tex]\rm x^2+3x+c=\frac{7}{4} +c[/tex] the value of c is 9/4
It is given that the quadratic equation [tex]\rm x^2+3x+c=\frac{7}{4} +c[/tex] while forming the perfect square.
It is required to find the value of c.
What is a quadratic equation?It is defined as the equation of polynomial of degree two. The standard form of the quadratic equation is as follows:
[tex]\rm ax^2+bx+c=0[/tex] where [tex]\rm a\neq 0[/tex]
We have a quadratic equation:
[tex]\rm x^2+3x+c=\frac{7}{4} +c[/tex]
We know that we can make any quadratic equation into a perfect square by the perfect square trinomial method as follow:
[tex]\rm ax^2+bx+c=0\\\rm ax^2+bx=-c\\\rm ax^2+bx+(\frac{b}{2a})^2 =-c+(\frac{b}{2a})^2\\[/tex]
So, the value of 'c' would be:
[tex]\rm c=(\frac{b}{2a})^2\\[/tex] here b=3 and a=1 by comparing the equation to the standard equation.
[tex]c=(\frac{3}{2\times1} )^2\\c=(\frac{3}{2} )^2\\c=\frac{9}{4}[/tex]
Thus, while making a perfect square for the given equation the value of c is 9/4
Know more about the quadratic equation here:
https://brainly.com/question/2263981
Answer:
9/4
Step-by-step explanation:
correct on edge
A teacher has a treats bag with eleven different types of candy/chocolate inside. What is the minimum number of pieces of candy must be taken to ensure that two of the same pieces of candy are picked?
The minimum number of pieces of candy must be taken to ensure that two of the same pieces of candy are picked is 12.
How to find the minimum number?So obviously, there is the case where with only two draws you can get the same candy twice, but we need to find a number N such that we know for sure that always that we take N candy, we drew at least one pair of equal candy.
There are 11 types of candy in the bag.
Now, suppose the next thing.
First, you draw a candy, now there are 10 types of candy in the bag that are different than the one you got.
Now you draw again, and get a different candy, so now there are 9 types of candy in the bag different to the two you got.
Now you keep doing this and getting a different type of candy until you already have the 11 types of candy in your hands.
Now if you draw a candy again, one pair will be formed (because you have all the types of candy already).
From this, we can conclude that always that you draw 12 pieces of candy, at least one pair will be formed.
If you want to learn more about counting, you can read:
https://brainly.com/question/26953669
Which would be used to solve this equation? Check all that apply.
1. subtracting 3 from both sides of the equation
2. multiplying both sides of the equation by 3
3. dividing both sides of the equation by 3
4. substituting 4 for p to check the solution
5. substituting 36 for p to check the solution
Two times a number divided by seven if forty. Express this sentence using algebraic symbols.
Answer:
(2x)/7=40Step-by-step explanation:
number is x
(2x)/7
=40
What is the quotient of StartFraction 7 Superscript negative 1 Baseline Over 7 Superscript negative 2 Baseline EndFraction? StartFraction 1 Over 343 EndFraction One-seventh 7 49.
The quotient of the number given number 7 Superscript negative 1 Baseline Over 7 Superscript negative 2 Baseline is 7.
What is the quotient?Quotient is the resultant number which is obtain by dividing a number with another. Let a number a is divided by number b. Then the quotient of these two number will be,
[tex]q=\dfrac{a}{b}[/tex]
Here, (a, b) are the real numbers.
The number StartFraction 7 Superscript negative 1 Baseline Over 7 Superscript negative 2 Baseline EndFraction, given can be written as,
[tex]\dfrac{7^{-1}}{7^{-2}}[/tex]
Let the quotient of this division is n. Therefore,
[tex]n=\dfrac{7^{-1}}{7^{-2}}[/tex]
A number in numerator of a fraction with negative exponent can be written in the denominator with the same but positive exponent and vise versa. Therefore,
[tex]n=\dfrac{7^{2}}{7^{1}}\\n=7[/tex]
Hence, the quotient of the number given number 7 Superscript negative 1 Baseline Over 7 Superscript negative 2 Baseline is 7.
Learn more about the quotient here;
https://brainly.com/question/673545
Answer:
C
Step-by-step explanation:
C
Find the area of the triangle below:
Answer:
9 cm^2
Step-by-step explanation:
The area of a triangle is calculated with the following formula:
1/2*b*h (b: base, h: height)
The base is given as 3 and height is 6 so
1/2*3*6 = 9 cm^2 is the answer we are looking for.
please help asap I'm not sure how much time I have
HELP! Simplify
3/14[tex]\sqrt{98}[/tex]
Bus A stops at a certain bus stop every 25 minutes. Bus B stops at the same stop every 40 minutes. If both buses are at the bus stop at 9:30 a.m., when is the next time they will be there together again? A. 12:20 p.m. B. 12:50 p.m. C. 1:10 p.m. D. 1:30 p.m.
25 : 1,25,50,75,100,125,150,175,200
40: 1,40,80,120,160,200
They will meet again after 200 minutes.
[tex]x = \frac{200}{60} = 3 + \frac{20}{60} [/tex]
So they will meet again after 3 hours and 20 minutes;
9:30 + 3:20 = 12:50 p.m.
That's your answer
The next time where both bus A and bus B are together at a stop is
12:50 pm.
Given,
Bus A stops at a certain bus stop every 25 minutes.
Bus B stops at the same stop every 40 minutes.
If both buses are at the bus stop at 9:30 a.m.
We need to find when is the next time they will be there together again.
How many minutes in one hour?
1 hour = 60 minutes.
Find the total minutes traveled by bus A after 8 stops.
We have,
1 stop = 25 minutes
Multiplying by 8 on both sides.
8 x 1 stop = 8 x 25 minutes
8 stops = 200 minutes
We see that at the 8th stop bus A has traveled for 200 minutes.
Find the total minutes traveled by bus B after 5 stops.
We have,
1 stop = 40 minutes
Multiplying both sides by 5.
5 x 1 stop = 5 x 40 minutes
5 stops = 200 minutes
We see that at the 5th stop bus B has traveled for 200 minutes.
We can say that after 200 minutes of traveling each bus has stopped at the same place.
We have,
Both buses are at the bus stop at 9:30 a.m.
So,
60 minutes = 1 hour
200 minutes
= 60 minutes + 60 minutes + 60 minutes + 20 minutes
= 3 hours 20 minutes
So,
9:30 am + 3 hours 20 minutes
= 12:50 pm
Thus the next time both the buses are together is 12:50 pm.
Learn more about finding the time when two buses leave the stop together here:
https://brainly.com/question/199965
#SPJ2
Solve By Substitution
The senior classes at High School A and High School B planned separate trips to the water park. The senior class
at High School A rented and filled 14 vans and 16 busses with 1086 students. High School Brented and filled 10
vans and 13 busses with 870 students. Every van had the same number of students in it as did the busses. Find
the number of students in each van and in each bus.