Answer:
y = -0.7
Step-by-step explanation:
Reorder the terms:
-2.7 + y = -2.0 + 2y
Solving
-2.7 + y = -2.0 + 2y
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-2y' to each side of the equation.
-2.7 + y + -2y = -2.0 + 2y + -2y
Combine like terms: y + -2y = -1y
-2.7 + -1y = -2.0 + 2y + -2y
Combine like terms: 2y + -2y = 0
-2.7 + -1y = -2.0 + 0
-2.7 + -1y = -2.0
Add '2.7' to each side of the equation.
-2.7 + 2.7 + -1y = -2.0 + 2.7
Combine like terms: -2.7 + 2.7 = 0.0
0.0 + -1y = -2.0 + 2.7
-1y = -2.0 + 2.7
Combine like terms: -2.0 + 2.7 = 0.7
-1y = 0.7
Divide each side by '-1'.
y = -0.7
Simplifying
y = -0.7
Suppose y varies directly with x, and y = 65 when x = 13. What direct variation equation relates x and y?
Answer:
y = 5x
Step-by-step explanation:
y = kx
65 = k (13)
65/13 = k
k = 5
~~~~~~~~~~~~
y = 5x
Hank has to drain his pool so repairs can be done on a crack on the bottom. The company coming to fix the pool is scheduled to arrive at 2:00 PM. They asked Hank to be sure to have his pool drained before they arrive. It is currently 8:00 AM Will Hank have the pool drained in time? The dimensions of the pool are 2m deep, 10m long, and 8m wide. Water can be drained at a rate of 130 gallons per minute.
Answer:
The answer to the question: "Will Hank have the pool drained in time?" is:
Yes, Hank will have the pool drained in time.Step-by-step explanation:
To identify the time Hank needs to drain the pool, we can begin with the time Hank has from 8:00 AM to 2:00 PM in minutes:
Available time = 6 hours * 60 minutes / 1 hour (we cancel the unit "hour")Available time = 360 minutesNow we know Hank has 360 minutes to drain the pool, we're gonna calculate the volume of the pool with the given measurements and the next equation:
Volume of the pool = Deep * Long * WideVolume of the pool = 2 m * 10 m * 8 mVolume of the pool = 160 m^3Since the drain rate is in gallons, we must convert the obtained volume to gallons too, we must know that:
1 m^3 = 264.172 galNow, we use a rule of three:
If:
1 m^3 ⇒ 264.172 gal160 m^3 ⇒ xAnd we calculate:
[tex]x = \frac{160 m^{3}*264.172 gal }{1m^{3} }[/tex] (We cancel the unit "m^3)x = 42267.52 galAt last, we must identify how much time take to drain the pool with a volume of 42267.52 gallons if the drain rate is 130 gal/min:
Time to drain the pool =[tex]\frac{42267.52gal}{130\frac{gal}{min} }[/tex](We cancel the unit "gallon")Time to drain the pool = 325.1347692 minutesTime to drain the pool ≅ 326 minutes (I approximate to the next number because I want to assure the pool is drained in that time)As we know, Hank has 360 minutes to drain the pool and how it would be drained in 326 minutes approximately, we know Hank will have the pool drained in time and will have and additional 34 minutes.
Can someone help me?
B. [tex] \sqrt{x} + \sqrt{x - 1} [/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] \frac{1}{ \sqrt{x} - \sqrt{x - 1} } \\ \\= \frac{1}{ \sqrt{x} - \sqrt{x - 1} } \times \frac{ \sqrt{x} + \sqrt{x - 1} }{ \sqrt{x} + \sqrt{x - 1} } \\ \\ = \frac{ \sqrt{x} + \sqrt{x - 1} }{ ({ \sqrt{x} })^{2} - { (\sqrt{x - 1} })^{2} } \\\\ [∵(a + b)(a - b) = {a}^{2} - {b}^{2} ] \\ \\= \frac{ \sqrt{x} + \sqrt{x - 1} }{x - (x - 1)} \\ \\= \frac{ \sqrt{x} + \sqrt{x - 1} }{ x - x + 1} \\ \\= \sqrt{x} + \sqrt{x - 1} [/tex]
[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]
CAN I GET THE REAL ANSWER I NEED THIS 100% MY MOM IS GOING WHOOP ME TILL I GOT 10 STAINS ON MY BUTT AND LEGS PLEASE HELP
Answer:
Haha sure mate! Its 116 :) Your thing is wrong but I would select 106 because it seems like a more reasonable mistake
Step-by-step explanation:
Give me braiest answer if I saved you a whooping
Answer:
The answer to your question is 244 degrees
Step-by-step explanation:
Simply add 60, 90, 82, and 12 to get 244 degrees.
A TV has a listed price of $695.95 before tax. If the sales tax rate is 7.75%, find the total cost of the TV with sales tax included. Round your answer to the nearest cent, if necessary.
Answer:
$749.89
Step-by-step explanation:
TV price = 100% = 695.95
Sales TAX = 7.75% = x
Total price = 107.75% = x dollars
1.0775 * 685.95 = 749.886125 ≈ 749.89
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Which is an equation of a direct proportion?
A: y=16x+6
B: y=6x
C: y=6x−6
D: y=6x
Answer:
B) y=6x
Step-by-step explanation:
HELP, I don’t understand as this is due today!!!!
Answer:
in orange you cost 5.52
in apple you cost 3.9
Step-by-step explanation:
1 1/2=2×1+1=3
so multiplied the 3 in the price per pound
so in orange you got this solution
3×1.84=5.52
and in apple you got this solution
3×1.30=3.9
#CARRY ON LEARNING
#MARK ME AS BRAINLIEST
#100% SURE
Two tangents are drawn to a circle from an external point. If the measure of the major arc is 260º, what is the measure, in degrees, of the angle formed by the two tangents?
Answer:
80degrees
Step-by-step explanation:
Using the expression to get the minor arc;
minor arc + major arc = 360degrees
minor arc + 260 = 360
minor arc = 360 - 260
minor arc = 100degrees (central angle)
Note that the central angle and that formed from the intersection of the tangents (X) are supplementary. Hence;
100 + X = 180
X = 180 - 100
X = 80degrees
Solve for x.
9 <17 - 4.0
Enter your answer, as an inequality, in the box.
9 <= 17 -4x
Subtract t 17 from both sides:
-8 <= -4x
Divide both sides by-4,
2 <= x
Rewrite the inequality with the x on the left side.
Answer: x <=2
Translate; a)A man's age 2 years ago b) the product of y and z
Step-by-step explanation:
a. represent the man's current age by n. Two years ago his age was n - 2.
b. Multiplication of n by the product of y and z would be (y×z)×n.
please help me with this i really need it, thank you!
Each gridline represents one mile. If Ryan drove from home to the soccer field and then from the soccer field to the library, traveling in a straight line to each destination, he would have traveled ___ miles by the time he reached the library.
Answer:
13 miles
Step-by-step explanation:
the distance from the soccer field to the library is 8 miles
the distance between home and soccer field is a hypotenuse, use Pythagorean theorem to find the distance.
[tex]a^2+b^2=c^2\\\\4^2+3^2=c^2\\\\16+9=c^2\\\\c^2=25\\\\c=5[/tex]
the distance is 5 miles
5 + 8 = 13 miles total
PLS HELP THIS IS DUE TODAY
Answer:
Draw a C plane and plot the dots if the coordinates
Answer:
it's a triangle draw the chart
Find the perimeter of the figure. SOMEONE PLS HELP ME IVE ASKED THIS QUESTION 3 TIMES NOW
Answer:
Step-by-step explanation:
The lengths of the tangents drawn from an external point tot he circle are equal.
RA = RB = 12.2
QA = QC = 5.9
PC = PQ - QC = 27.4 - 5.9 = 21.5
PC = PB = 21.5
QR = QA + RA = 5.9 + 12.2 = 18.1
PR = PB + RB = 21.5 + 12.2 = 33.7
Perimeter = PQ + QR + PR
= 27.4 + 18.1 + 33.7
= 79.2
A dolphin is 9 feet below the surface of the ocean. If its position can be recorded as −9 feet, what would the position of 0 represent?
Answer: The surface of the ocean
Answer: It represents being at the surface
Negative values are below the surface, while positive values are above the surface.
In other words, -9 means 9 feet below sea level. The value 0 is at sea level. Something like 12 means you're 12 feet above sea level.
factorize, completely each of the following expression
1-4h^2
Answer:
(1 + 2h)(1 - 2h)
Step-by-step explanation:
[tex]1 - 4h^2 = 1 ^2 - (2h)^2[/tex]
[tex]=(1 - 2h)(1 + 2h)[/tex] [tex][ \ a^2 - b^2 = (a - b)(a+b) \ ][/tex]
Mr. Theorem writes the expression 6^2 Divided bye 23 on the board. What is the value
Answer:
[tex]1\frac{13}{23}[/tex]
Step-by-step explanation:
6² ÷ 23
36 ÷ 23
[tex]1\frac{13}{23}[/tex]
Express sin T as a fraction in simplest terms.
Answer:
sinT = [tex]\frac{15}{17}[/tex]
Step-by-step explanation:
We require to calculate RT before obtaining sinT
Using Pythagoras' identity in the right triangle
RT² = 30² + 16² = 900 + 256 = 1156 ( take the square root of both sides )
RT = [tex]\sqrt{1156}[/tex] = 34 , then
sinT = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{RS}{RT}[/tex] = [tex]\frac{30}{34}[/tex] = [tex]\frac{15}{17}[/tex]
Which expression is the result of factoring the expression below by taking out its greatest common factor?
4x^2+16x-4=?
Choose 1 answer:
A. 2x(2x^2+8x−2)
B. 2(2x^2+8x−2)
C. 4x(x^2+4x−1)
D. 4(x^2+4x−1)
Answer:
4(x^2 +4x-1)
Step-by-step explanation:
4x^2+16x-4
Factor out a 4
4(x^2 +4x-1)
Answer:
D. 4 ( x² + 4 x - 1 )
Step-by-step explanation:
4 x ² + 16 x - 4
Taking out common factor = 4
4 ( x² + 4 x - 1 )
Rewrite in simplest rational exponent form √x • 4√x
Answer:
4x
Step-by-step explanation:
[tex]\sqrt{x} \cdot \sqrt{x} = \sqrt{x^2} = x^{ 2 \times \frac{1}{2}} = x[/tex]
[tex]given :\\\\ \sqrt{x} \cdot 4\sqrt{x} = 4 \cdot\sqrt{x} \sqrt{x} = 4 \sqrt{x^2} = 4x[/tex]
Given the inequality -8<2, explain what happens when you multiply or divide both sides by 2 and what happens when you multiply or divide both sides by -2.
Answer:
When you multiply or divide both sides by 2, the result is going to be a negative number.
When you multiply or divide both sides by -2, the results are going to be positive.
Step-by-step explanation:
When you multiply or divide a negative and a negative, it's going to be a positive.
When you multiply or divide a negative and a positive, it's going to be a negative.
Covert 11 pints to fluid ounces plz
Answer:
176
Step-by-step explanation:
11 pints is 176 US fluid ounces
How do you solve this?
=================================================
Explanation:
If we plugged (x,y) = (0,8) into the first inequality, then we get
y < x^2+6
8 < 0^2+6
8 < 0+6
8 < 6
which is false. So we can rule out choice A.
----------------
Trying choice B leads us to
y < x^2+6
2 < 4^2+6
2 < 16+6
2 < 22
That last statement is true, so the first inequality is true for (x,y) = (4,2)
Let's try the other inequality
y > x^2-4
2 > 4^2-4
2 > 16-4
2 > 12
That's false. Since one of the inequalities is false (it doesn't matter which one), this means the entire system is false. We cross choice B off the list.
----------------
Now onto choice C
You should find that y < x^2+6 becomes -4 < 10 after plugging in (x,y) = (-2,-4). Since -4 < 10 is true, we move onto the next inequality.
The inequality y > x^2-4 becomes -4 > 0 after plugging in those mentioned x,y values. The inequality -4 > 0 is false.
We cross choice C off the list.
----------------
The only thing left is choice D. It has to be the answer.
Let's find out if we get true inequalities when plugging in (x,y) = (2,6)
y < x^2+6
6 < 2^2+6
6 < 10 ... true
and
y > x^2-4
6 > 2^2-4
6 > 4-4
6 > 0 .... also true
Both inequalities are true, so the entire system is true. Therefore, (x,y) = (2,6) is one of the infinitely many solutions to this system.
Choice D is confirmed as the answer
----------------
Refer to the diagram below. I've graphed the two dashed boundary curves and the shaded region between. This region is above the y = x^2-4 curve, and below the y = x^2+6 curve. So we're ignoring the stuff above the y = x^2+6 curve.
Points A through D represent the four answer choices in the order given. We see that point D is the only point in the shaded region, so that visually confirms we have the correct answer.
Note: points on the dashed boundaries do not count as solutions.
This figure is known as a triangular prism. Find the surface area in square feet.
10 ft
3 ft
7 ft
8 ft
Two angles of a triangle are 120° and 6° What is the measure of the third angle?
Answer: 54
The angles of a triangle add up to equal 180.
Since we already know two angles, we can just use simple math to find the third.
120 + 6 = 126
180 - 126 = 54
Answer:
54°
Step-by-step explanation:
A triangle ALWAYS measure a 180° Angle in total so if the first and second angle is 120° and 6°, just add it together and will form a 126° Angle so subtract it to 180° Angle and it will result in a 54° Angle
Thank you and please mark me as brainliest ^^
PLEASE SOMEONE HELP ME I WILL GIVE BRAINLIEST
FIND THE TOTAL NUMBER OF COMBINATIONS
How many ways could a 3 topping pizza be selected if you have 10 toppings
to choose from?
A 720
B 120
60
D 30
Answer:
B.120 i took the test and got it right.
Answer:
Its letter B.
Step-by-step explanation:
hopefully i got it right loll
what is the lcm of 8 27 72
Answer:
216
Step-by-step explanation:
Answer:
In common notation: lcm (27,72) = 216
how many zeroes are there
Answer:
infinity zeros are there
Step-by-step explanation:
please make me brainlsit answer
In the decimal expansion of the fraction 1/13, what digit is in the 2021st decimal place?
please answer correctly (full answers)
Answer:
2
Step-by-step explanation:
1/13 = 0.07692307692307
1/13 has a 6 place repeating decimal
076923 076923
2021/6 = 336 5/6
There will be 336 complete sets and then
2021 will be the 5th place of 076923
Find the diameter, given the circumference of a circle is 40.035 cm.
Answer:
12.75
Step-by-step explanation:
c = π x d
40.035= 3.14 x d
40.035/3.14 = 12.75