Answer:
b
Step-by-step explanation:
How many solutions does this system have?
->
2x-3y = 10
-4x+6y=-20
one
two
an infinite number
no solution
Answer: I think there is only one
Step-by-step explanation:
Answer:
an infinite number
Step-by-step explanation:
Let's solve for y for both equations.
[tex]2x-3y=10\\-3y=10-2x\\y=\frac{2}{3}x-\frac{10}{3}[/tex]
[tex]-4x+6y=-20\\6y=4x-20\\y=\frac{4}{6} x-\frac{20}{6}[/tex]
By reducing fractions we get:
[tex]y=\frac{2}{3}x- \frac{10}{3}[/tex]
These two equations are EXACTLY the same.
Therefore, this system has an infinite number amount of solutions.
Using desmos graphing calculator, you can't see both lines because they're exactly the same line.
A student is playing a number game and starts with number -15
Cindy read 240 minutes last week she read 378 minutes this week how many minutes did she read altogether
Answer:
618
Step-by-step explanation:
They are added
Answer:
240 + 378 = 618
Step-by-step explanation:
an easy way to add big numbers s to break it up into smaller pieces.
Example: 240+378 = (200 + 300 = 500) + (40 + 70 = 110) + (0 + 8 = 8) = 618
One gallon of gas costs $3.60 and you buy m gallons. How much do you spend on gas?
Answer:
3.60m
Step-by-step explanation:
Basically if 1 bought i gallon its 3.60
2= 7.2 dollars and so forth
18. If 4 - 5x = -3, then what is 10x - 8
Answer:
6
Step-by-step explanation:
[tex]4 - 5x = - 3 \\ \\ - 5x = - 3 - 4 \\ \\ - 5x = - 7 \\ \\ x = \frac{ - 7}{ - 5} \\ \\ x = \frac{7}{5} \\ \\ 10x - 8 \\ \\ = 10 \times \frac{7}{5} - 8 \\ \\ = 2 \times 7 - 8 \\ \\ = 14 - 8 \\ \\ = 6[/tex]
Find the least number which when divided by 12 and 16 leaves the reminder 3 and 7 respectively. Plzz help in this question
==============================================
Explanation:
Let n be the number we want to find. We want n to be as small as possible, but also be a positive integer. Intuitively, we can see that n cannot be smaller than 16; otherwise, we don't meet the remainder requirements.
Divide n over 12 and we get some quotient x and remainder 3
So,
n/12 = (quotient) + (remainder)/12
n/12 = x + 3/12
Multiply both sides by 12 to end up with
n = 12x + 3
Similarly, if we divide over 16 we get some other quotient y and remainder 7
n/16 = y + 7/16
which turns into
n = 16y + 7
after multiplying both sides by 16
-----------
We have these two equations
n = 12x+3n = 16y+7Apply substitution and do a bit of rearranging like so
12x+3 = 16y+7
12x-16y = 7-3
4(3x-4y) = 4
3x-4y = 4/4
3x-4y = 1
The goal from here is to find the smallest positive integers x and y that make that equation true. We have a few options here and they are
Guess and check: We have a small sample size to work with so it shouldn't take too long. Make a table of xy values where you have x along the top row and y along the left column. Then plug each x,y pair into the equation above to see if you get a true statement or not. Again, keep in mind that x and y are positive integers. Graphing: Graph the line 3x-4y = 1, which is the same as y = (3/4)x - 1/4 and note where the line lands on a lattice point. Focus on the upper right quadrant of the graph. This quadrant is above the x axis and to the right of the y axis.Extended Euclidean Algorithm: This method is the most efficient, but it's only useful if your teacher has gone over it.Whichever method you use, you should find that (x,y) = (3,2) is the point we want.
Note how:
3x-4y = 1
3(3)-4(2) = 1
9-8 = 1
1 = 1
So that verifies (3,2) is on the line 3x-4y = 1.
Because x = 3 and y = 2, we know that
n = 12x + 3
n = 12*3 + 3
n = 39
and we can see that
n = 16y + 7
n = 16*2 + 7
n = 39
So 39 is the smallest such integer such that when we divide it over 12 and 16, we get remainders 3 and 7 respectively.
Here's a quick verification that we've fit the requirements.
39/12 = 3 remainder 3
39/16 = 2 remainder 7
We know we hit the smallest value of n because (x,y) was made to be the smallest positive integer solution to 3x-4y = 1. There are infinitely many positive integer (x,y) solutions to 3x-4y = 1, which in turn means there are infinitely many numbers n that satisfy the remainder conditions (but n is not the smallest possible in those cases).
z=-5x(x-20) solve for x
Step-by-step explanation:
there is no solution
Find the distance between the points (-3, 4) and (-3, -5).
Answer:
[tex]\displaystyle d = 9[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Algebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point (-3, 4)
Point (-3, -5)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [Distance Formula]: [tex]\displaystyle d = \sqrt{(-3+3)^2+(-5 - 4)^2}[/tex][Distance] [√Radical] (Parenthesis) Add/Subtract: [tex]\displaystyle d = \sqrt{(0)^2+(-9)^2}[/tex][Distance] [√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{81}[/tex][Distance] [√Radical] Evaluate: [tex]\displaystyle d = 9[/tex]10
8
6
Distance (mi)
4
2.
o
20 30 40 50
Time (min)
The graph above shows Tomasso's rate
while jogging. Which of the following is an
ordered pair on the graph?
A (10, 1)
B (15, 3)
C (30,5)
Answer:
the answer should be A as thats what its showing on the graph
The sum of a number and six times its reciprocal is 10. Find the number
Answer:
two solutions work: x = 5 + [tex]\sqrt{19}[/tex] and x = 5 - [tex]\sqrt{19}[/tex]
Step-by-step explanation:
x + 6 ( 1/x ) = 10
x^2 + 6 = 10x
x^2 - 10x + 6 = 0
x = 5 + [tex]\sqrt{19}[/tex], 5 - [tex]\sqrt{19}[/tex]
Max wants to cover this rectangle with blue tiles I estimate that there would be
I have no idea. Where is the diagram.
(will mark brainliest!!)
Answer:
the one with Heidy is the 3 one
the 6th one is E
Step-by-step explanation:
The RANGE of the graphed function is
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Write the equation of a line parallel to and passes through the given line’s x-intercept. Leave answer
in slope-intercept form
Answer:
y = 1/2x - 4
Step-by-step explanation:
The x-intercept is when y = 0, so it would be:
-x + 2 * 0 = 4
-x = 4
x = -4
That means the x-intercept is (0, -4)
The parallel line would have the same slope as this one, so:
[tex]-x+2y = 4\\2y = x + 4\\y = 1/2x + 2[/tex]
The parallel line has a slope of 1/2
So now you need to find the equation of a line that has a slope of 1/2 and passes through the point (0, -4)
Put it in point slope form:
y - (-4) = 1/2(x - 0)
y + 4 = 1/2x
y = 1/2x - 4
HELP! WILL GIVE BRANLIEST! + EXTRA POINTS!
Answer:
707 bags of sand
Step-by-step explanation:
To find the area all you have to do is add 40+5+5=50 then you split that in half to get the radius. The you use the area formula to get the entire shape and the get the radius of the smaller circle. Then, you subtract the small circle from the big circle to get the amount of sand needed. When you do that you should get 706.86 but since you need a whole number you would round up to 707
Nayla delivers 63 magazines on Saturday and 72 magazines on Sunday. She makes bundles of 9 magazines for each of her delivery routes. How many delivery routes does Nayla have on Saturday and Sunday?
Answer:
14
Step-by-step explanation:
9*6=63
9*8=72
6+8=14
Azim wants to buy a tablet computer that is priced 180.50 if the sales tax rate on the computer is 8% how many dollars and cents will Azim spend on the sales tax only
Answer: 98.1%
Explanation:
A 10% sale means that the post-sale price of the item is now 90%, or 0.9 of the original cost of the item. We then apply 9% sales tax by multiplying the 0.9 by 109%, or 1.09. 0.9 * 1.09 = .981, so the total cost of the item is 98.1% of the original pre-sale sticker price.
For percentage problems that do not deal with a specific starting number, it is always helpful to plug in 100 for the starting number. Here, we would then have a post-sale price of 90 dollars, and if we calculate the sales tax for the 90-dollar item it would be 90 * 0.09 = $8.10. THis gives us a total cost of 90 + 8.10 = $98.10, or 98.1% of the original 100-dollar price.
The hanger image below represents a balanced equation.
30
26
g
Find the value of g that makes the equation true.
g=
Ed walsh wanted to purchase a used car. He obtained a 6,700 installment loan at an APR of 6%. He must repay the loan in 2 years. Find the monthly payment, the total amount repaid, and the finance charge.
Answer:
$519.43
Step-by-step explanation:
bc it is
What value of x makes this equation true?
2 (3x – 8) = 2 (7x + 2)
Answer:
I think the answer to this question or (x) is -2.5 .
Which ratio is greater? 3 : 4 or 5:6
Answer:
5:6 is greater than 3:4.
Which graph represents the line that has a -intercept of 3 and goes through the point (2, 5) ?
Answer:
The second one
Step-by-step explanation:
Answer:
Is the third one,as you can see it goes thru the point (2,5)
Step-by-step explanation:
what is the square root of 25? =7
Answer: 625
Step-by-step explanation:
In Vedic mathematics, the numbers containing 5 in the units place can be squared by taking the remaining digit/s and multiply by its successor and then add 25.
Square of 25 is 2*3 = 6 and attach 25, So 25^2 = 625.
Square of 35 is 3*4 = 12 and attach 25, So 35^2 = 1225.
Square of 125 is 12*13 = 156 and attach 25, So 125^2 = 15625.
Square of 95 is 9*10 = 90 and attach 25, So 95^2 = 9025.
From the time I had answered the question asking for the square of 25, the question now appears as what is the square root of 25.
I will answer the revised question as square root of 25 is +5 or -5.
The opposite sides of a parallelogram
are
Answer:
Parallel
Step-by-step explanation:
In a parallelogram there are two sets of parallel lines, and they are always opposite sides.
For example: a square has 4 sides, the ones along the top and bottom are parallel and the ones along the left and right are also parallel
together, ben and kyle have 43 fishing lures. Kyle,(K), has 15 more lures than ben, (B). which statements are correct for this situation
Answer:
k + b = 43
15 + b = 43
b = 28
4 ^-3 rewrite without an exponent
Answer:
(1/4)³
Step-by-step explanation:
Hope it helps you
Answer:
[tex]\frac{1}{64}[/tex]
Step-by-step explanation:
Negative exponents means you bring the base to the denominator, which becomes a fraction.
[tex]4^{-3} \\=\frac{1}{4^{3}}[/tex]
The question wants us to write without an exponent.
The [tex]4^{3} = 4 * 4* 4=64[/tex]
So, it becomes:
[tex]\frac{1}{64}[/tex]
Write 6^4 in expanded form. Then evaluate.
Answer:
expanded form: 6x6x6x6
answer: 1296
Step-by-step explanation:
There are 12 counters. One third of the counters are yellow. How many counters are yellow?
Answer:
I think 4
Step-by-step explanation:
1/3 is how many are yellow. so if u do 12/3=4
Answer:
4
Step-by-step explanation:
1/3 is equivalent to 4×1 and 2/3 is equivalent to 4×2 and 3/3 is equivalent to 4×3 which equals 12 so there are 4 counters that are yellow.
ill mark brainlist plss help
to find the area of the rectangle it is is length x width so we do 3x4=12. then area of triangle is base x height divide by 2, so 2x4=8. 8 divide by 2 is 4, then we need to add them all up, so 12 + 4 + 4 is 20. Your answer is 20 cm2.
(Ps please mark brainliest i need for next rank)
a school paid $31.50 for each calculator, if the school spent 504 dollars on calculators how many did the school buy?