Answer:
2x-3y=2
x=6y-5
2(6y-5)-3y=2
use the distributive property.
2*6y=12y
2*-5=-10
12y-10-3y=2
combine like terms
12y-3y=9y
9y-10=2
add 10 to both sides.
9y-10+10=9y
2+10=12
9y=12
divide both sides by 9
9y/9=y
y=about 1.33
plug in the value of y in the expression equal to the value of x.
x=6(1.33)-5
solve
6*1.33=7.98
x=7.98-5
7.98-5=2.98
Step-by-step explanation:
x=2.98
y=1.33
multiply [3] [-4] [2]
Answer: -24
Explanation: you multiply 3 times 4 times two, but then count the negative signs and if its and odd number add it if its even then its positive.
- Fifteen percent of what number is 66?
Answer:
440
Step-by-step explanation:
In other words, you know that 15 percent of a number is 66 and you want to know what that initial number is. Therefore, you can derive that 15 percent of 440 equals 66. 67 is 15 percent of what number?
Michael has 20 table tennis balls and 16 table tennis paddles. He wants to sell packages of balls and paddles bundled together. What is the greatest number of packages she can sell with no leftover balls or paddles?
Solve this equation, and show work. worth 40 points.
Recall the following property of exponents:
[tex]a^b\cdot a^c=a^{b+c}[/tex]
[tex]\implies 216^{-3k}\cdot 216^{-2k}=216^{-3k-2k}=216^{-5k}[/tex]
Now, notice that 6² = 36 and 6³ = 216, which means that
[tex]216^{-5k}=36^{2k-1} \iff (6^3)^{-5k}=(6^2)^{2k-1}[/tex]
Recall another property of (real) exponents:
[tex](a^b)^c=a^{bc}[/tex]
[tex]\implies(6^3)^{-5k}=6^{3(-5k)}=6^{-15k}\text{ and }(6^2)^{2k-1}=6^{2(2k-1)}=6^{4k-2}[/tex]
So we have
[tex]216^{-5k}=36^{2k-1} \iff 6^{-15k}=6^{4k-2}[/tex]
Since both sides are equal powers of 6, that must mean that the exponents must be equal, so
[tex]-15k=4k-2[/tex]
Solve for k :
[tex]-15k-4k=(4k-4k)-2[/tex]
[tex]-19k=-2[/tex]
[tex]k=\dfrac{-2}{-19}=\boxed{\dfrac2{19}}[/tex]
Help. What is the slope of the line in the graph?
Hello,
As you have not provided the graph, I can teach you how to answer the question.
You are solving for the slope of the line. The slope can be found by using the following equation:
slope (signified by the variable m) = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
Note that the numbers does not exactly matter, only that what you set as variable [tex]x_1[/tex], the y inside that coordinate will also be [tex]y_1[/tex], and likewise for point 2.
For example, let us say your points for your line is (3 , 6) and (10 , 4)
Let:
[tex](x_1 , y_1)[/tex] [tex]= ( 3 , 6)[/tex]
[tex](x_2 , y_2) = (10 , 4)[/tex]
Plug in the corresponding numbers to the corresponding variables:
slope [tex]m = \frac{4 - 6}{10 - 3} = - \frac{2}{7}[/tex]
The given points will result in a [tex]-\frac{2 }{7}[/tex] slope.
Hope this helps!
(100 POINTS) Write the particular equation of this transformed cosine graph. (Hint: Try to find the best point to center the sinusoidal axis.)
Answer:
y= - 3cosx - 2
Step-by-step explanation:
Our max here is at 1, and the minimum is at - 5
The distance between the x-axis and these points are 1 and 5. 5 + 1/2 = 6/2 = 3, our amplitude. But let's double check. Our middle point is - 2 so...
- 5 - (- 2) = - 5 + 2 = - 3
The amplitude is rather - 3.
f(x) = Acos(Bx + C) + D
Using this we know B = 0, D = - 2 (the middle point), C = 0, and A = - 3 (amplitude). B = 0, and C = 0, as there is no horizontal/vertical shift
f(x) = Acos(Bx + C) + D
f(x) = - 3cosx + (- 2)
f(x) = - 3cosx - 2
Answer:
y= - 3cosx - 2
Step-by-step explanation:
Just Answered on A P E X Practice Assignment
2. Add 62 to the difference of
90 and 36.
Answer:
116
Step-by-step explanation:
(difference = subtract)
90 - 36 = 54
adding 62 to 54 = 116
answer
62+(90-36)
62+54
116
what is the rate in 20 chairs 2 rows
Answer:
10 chairs one row 20 divided by 2
Answer:20/2 Unit rate 10
Step-by-step explanation:
Which equation represents a line with a slope of zero?
O y= 2x
O y=-3x+
O y=4
O x=-5
Answer:
y = 4
Step-by-step explanation:
In y =mx+b (slope -intercept form ),
We have m to be the slope
The first and the second equations contains the slope (coefficient of x)
The fourth option clearly states the slope is -5
That leaves with the third option with only a y-intercept.
Answer:
y=4
Step-by-step explanation:
y=4 on the graph would look like this -------------------------- and it would have a slope of zero. It's not x = -5 because that would have an undefined slope |.
And the first two the slope is the number in front of the x.
Hope this helped!!!
Five pounds is equal to 2.268 kilograms. How many kilograms is 2 pounds?
0.4536
0.9072
1.8144
4.536
Answer:
B) 0.9072
Step-by-step explanation:
y = 7x^3 - 4x^2 + 3x - 12
find the domain step plz
Answer:
The domain is -oo < x < oo or (-oo,oo)
Step-by-step explanation:
Sometimes it helps if you draw this out on a number line or graph the equation! :)
Domain is how far x goes. As in this case x is infinite both ways.
Find the perimeter and area of a rectangle of cardboard measuring 15.9 cm by 11.7cm
Alright, I need help!
Answer:side B middle length!
Step-by-step explanation:
Clay thinks the next term in the sequence 2, 4,... is 6. Given the same pattern, Ott thinks the next term is 8, and Stacie thinks the next term is 7. What conjecture is each person making? Is there enough information to decide who is correct?
Clay and ott are correct but stacie is wrong.
What is an Arithmetic progression?An Arithmetic progression (AP) is a special type of progression in which the difference between two consecutive terms is always a constant. The terms of an arithmetic progression series is a a+d, a + 2d, a + 3d, a + 4d, a + 5d,…
Given here, the sequence as 2,4,6..... thus this is an arithmetic sequence with common difference 2 and therefore the subsequent terms are as follows : 2,4,6,8,18......
∴ Clay and Ott predicted correctly.
Hence, Clay and ott are correct but stacie is wrong.
Learn more about an A.P here:
https://brainly.com/question/1610404
#SPJ2
Write the inequality.
A number k plus 5 is greater than or equal to
8.
Ak +5> 8
k+5 <8
k+5 <8
k+528
how many fifths are there in 8 3/5?
Answer:
43 becuase 8 3/5 times 5
Step-by-step explanation:
A child walks 3/10 of a mile in 1/5 hour. At this rate, how far will the child walk in 1 hours ?
Answer:
1.5 miles
Step-by-step explanation:
.3 miles/12 minutes x 5/5 = 1.5 miles/ 1 hour
What is the equation of a line that is perpendicular to this line and goes through the
given point?
y = 3x + 2 (3,-4)
Answer:
x + 3y + 9 = 0
Step-by-step explanation:
y=3x + 2
Coefficient of x = 3
Gradient (m) of line y= 3x + 2 is 3
Since the line passing through point
(3,-4) is perpendicular to line y=3x + 2
hence gradient (m) of the line is -1/3;
And hence it equation is given as;
y - y1 = m(x - x1)
y - (-4) = -1/3(x - 3)
multiplying through by 3;
3 × y + 3 × 4 = 3 × -1/3(x - 3)
3y + 12 = -1(x - 3)
3y + 12 = -x + 3
x + 3y + 12 - 3 = 0
x + 3y + 9 = 0
Your firm needs $630 for one quarter to finance a deficit. Interest charges are 2% per quarter. Your bank
requires a 10% compensating balance. How much must your firm borrow in order to obtain the needed funds?
$700.00
$705.00
O $693.00
$715.91
WILL GIVE BRAINLYIST
A-5 pound bag of apples cost $3.50 use the way completed table to identify equivalent ratios and then answer the questions.
Apples *? 5 ? 15
Cost 0.70 3. 50 7 ?
Apples cost $___ per pound.
i think the answer is 11.024
(WILL GIVE BRAINLIEST)
What is 3/5 written as a percent?
A. 6%
B. 30%
C. 60%
D. 167%
Answer:
60%
Step-by-step explanation:
1/5 equals 20 % and thus 3/5 is 20 % multiplied by 3 so 60 %
Answer: "Percent" or "%" means "out of 100" or "per 100", Therefore x% can be written as
x/100
.
We can then rewrite this as: 60%.
create an equation from the model that describes the relationship between the weights on each side of the scale into the correct answer in the Box
Answer:
2y+3=4y+2
Step-by-step explanation:
Answer:
2y+3=4y+2
Step-by-step explanation:
cause i got it right
what is 8,526 divide by 9
Answer:
Use a calculator but otherwise it is 947.3333
Step-by-step explanation:
first 8000 divided by nine which is 888.8888
second is 500 wich is 55.5555
third is 20 divided by nine wich is 2.2222222
fourth is 6 divided by nine wich is 0.66666667
fith add all of them which is around 947.3333
If Kim reduces the weekly number of hours she works by one-fourth and her current weekly income is $520.00, what is her new weekly income?
Answer:
$390 you divide 520 by 4 so 520/4=130 now we subtract 130 from 520, 520-130=390
Step-by-step explanation:
Solving this question requires basic arithmetic formula and fractions.
New weekly income = $390
Let's call the number of hours kim works weekly as "x"
If she reduces this number of hours by one-fourth and her current weekly income is $520, then it means the amount to be deducted is;
[tex]\frac{1}{4}[/tex] × $520 = $130
Thus, her new weekly income will be;
$520 - $130 = $390
Read more at; brainly.com/question/11407386
mr.little earned $320 for working 2 eight hours shifts at the lumber yard .what is his hourly wage?
Answer:
Step-by-step explanation:
320$ divided by 16 (two 8 hr shifts) = 20 dollars an hour
In AFGH, h = 9.6 inches, f = 2.5 inches and 2G=78°. Find the length of g, to the
nearest 10th of an inch.
Answer:9.4
Step-by-step explanation:
comment section
3. If (5,5) is the endpoint of a line with the midpoint at (0,0), where is the
other endpoint?
A company requires a password to access a data storage vault. The password must be 4 characters long and may
contain digits and lowercase letters only.
How many passwords are possible if characters can be repeated? Enter your answer as a number, like this: 425
Answer:
There are 36 possibilities per character (26 lower case letters + 10 numbers), so the total number of permutations are 36^4 = 1,679,616
Step-by-step explanation:
Will give brainliest and thanks and please explain
Answer:
(65-5) / 2.5 = d
Step-by-step explanation:
100% sure
Answer:
d=65/2-5
26days
Step-by-step explanation:
In New York the temperature was -4 Fahrenheit in the morning if the temperature dropped eight Fahrenheit what is the temperature now
Answer:
-12 Fahrenheit.
Step-by-step explanation: