Answer:
3/2 x +3 = y
Step-by-step explanation:
−6x = 12 − 4y
Subtract 12 from both side
−6x-12 = 12 − 4y-12
-6x -12 = -4y
Divide both side by -4
(-6x -12)/-4 = -4y/-4
-6x/-4 -12/-4 = y
3/2 x +3 = y
Answer:
y = 1.5x + 3
Step-by-step explanation:
= - 6x - 12 = - 4y
(- 6x - 12)/- 4 = - 4y/- 4
1.5x + 3 = y
Hope this helps!
1 GEOMETRY - 1206310)
. An angle expression in an equilateral triangle is 3x + 12. What is the value of X?
Answer:
16
Step-by-step explanation:
The angle in an equilateral triangle is given as:
3x + 12
The angle is an equilateral triangle is 60°. Therefore:
3x + 12 = 60
=> 3x = 60 - 12 = 48
x = 48 / 3 = 16
x is 16
Lance bought a used car for $5500. He sold it two years later for $2475. What is the percent change of the price?
Answer: 55%
Step-by-step explanation:
2475/5500 = .45
He sold it for 45% of the price, so it went down by 55%
An empty swimming pool is going to be filled with water. The swimming pool is a cuboid, that is 25 metres long, 10 metres wide and 2 metres deep. It is being filled at a rate of 800 litres per minute Given 1m3 = 1000 Litres, how long it will take to fill the swimming pool? Give your answer in hours and minutes.
Answer: 10 hours and 25 minutes.
Step-by-step explanation:
Multiply 25, 10, and 2 to find volume. Volume is 500 metres.
1 meter = 1000 litres. 500 * 1000 = 500,000 litres in volume.
500,000/ 800= 625 minutes.
625 minutes = 10 hours and 25 minutes
It take 10 hours and 25 minutes to fill the swimming pool.
The volume of a cuboid is given by the formula:
Volume = Length × Width × Depth
= 25 m × 10 m × 2 m
= 500 m³
Now, convert the rate of filling from liters per minute to cubic meters per minute:
1 m³ = 1000 liters
So, 800 liters per minute = 800/1000
= 0.8 m³ per minute
Next, the time it will take to fill the pool:
Time (in minutes) = Volume / Rate of filling
= 500 m³ / 0.8 m³ per minute
= 625 minutes
Now, 1 hour = 60 minutes
625 minutes = 625 / 60
= 10 hours and 25 minutes
So, it take 10 hours and 25 minutes to fill the swimming pool.
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if a major sector is 60% of circle whats the measure of central angle
Answer:
S divided by R = 0
the arc is 5.9 and radius is 3.5329 then the central idea becomes 1.67
Step-by-step explanation:
Martina read that approximately 10% of all people are left-handed. She wants to design a
simulation to approximate the probability of selecting exactly 2 right-handed people when 3
people are randomly selected.
Part A
In the simulation, Martina has a spinner with sections of equal size. One section is labeled "L"
(left) and the rest of the sections are labeled "R" (right).
For this simulation to be as accurate as possible, what is the total number of
sections that the spinner should have?
Answer:
15%
Step-by-step explanation:
solve for x and y
help please!!
need step by step explanation.
will give the brainliest!!
Answer:
x=4, y=10
Step-by-step explanation:
(x+2)/3= (y-2)/4= (y-x)/3
x+2= y-x ⇒ y= 2x+2(x+2)/3= (2x+2-2)/4 ⇒ (x+2)/3= x/2 ⇒ 2x+4= 3x ⇒ x=4y=2*4+2= 10Answer:
The value of x is 2 and y is 10.
Step-by-step explanation:
First, you have to do cross multiplications of any 2 fractions :
1st equation,
[tex] \frac{x + 2}{3} = \frac{y - 2}{4} [/tex]
[tex]4(x - 3) = 3(y - 2)[/tex]
[tex]4x + 8 = 3y - 6[/tex]
2nd equation,
[tex] \frac{y - 2}{4} = \frac{y - x}{3} [/tex]
[tex]4(y - x) = 3(y - 2)[/tex]
[tex]4y - 4x = 3y - 6[/tex]
Next, you have to solve the simultaneous equation by elimination :
[tex]4x - 3y = - 14 - - - (1)[/tex]
[tex] - 4x + y = - 6 - - - (2)[/tex]
[tex](1) + (2)[/tex]
[tex]4x - 3y + ( - 4x) + y = - 14 + ( - 6)[/tex]
[tex] - 2y = - 20[/tex]
[tex]y = 10[/tex]
[tex]substitute \: y = 10 \: into \: (1)[/tex]
[tex]4x - 3(10) = - 14[/tex]
[tex]4x - 30 = - 14[/tex]
[tex]4x = - 14 + 30[/tex]
[tex]4x = 16[/tex]
[tex]x = 4[/tex]
Determine the item that would be represented by the independent variable in this situation. Candice picked strawberries to make jam for the fair. each jar of jam requires 25 strawberries. If she wants to make 50 jars of jam, how many strawberries must Candice pick?
a. Candice
b. Strawberries
c. Jars
d. Fair
Answer:
The item that would be represented by the independent variable in this situation is:
b. StrawberriesStep-by-step explanation:
To identify if a variable is dependent or independent, you must think about what variable needs from other to accomplish the exercise, for example, the distance traveled and the time, suppose you want to see how much distance you travel in a determined time, in this case, the distance is a dependent variable and the time an independent variable, this is because the distance you travel depends on the time you use in this activity, but the time will continue advancing no matter if the distance is advancing or not, in the case given, the jars of jam depends on the number of strawberries that Candice has (more jars of jam needs more strawberries) but the strawberries don't depend on the jars of jam, so, the jars of jam are the dependent variable and the strawberries the independent variable.
Answer:
B
Step-by-step explanation:
8.) Mrs. Ruiz bought six 2-liter bottles of juice. How many dekaliters of juice
did she buy?
a.) 0,012 dekaliter
b.) 0.12 dekaliter
c.) 1,2 dekaliters
d.) 120 dekaliters
(x+y)^2 (x2+2xy+y2) pleas show all work
Answer:
{x}^{4}+4{x}^{3}y+6{x}^{2}{y}^{2}+4x{y}^{3}+{y}^{4}x
4
+4x
3
y+6x
2
y
2
+4xy
3
+y
4
Step-by-step explanation:
1 Use Square of Sum: {(a+b)}^{2}={a}^{2}+2ab+{b}^{2}(a+b)
2
=a
2
+2ab+b
2
.
({x}^{2}+2xy+{y}^{2})({x}^{2}+2xy+{y}^{2})(x
2
+2xy+y
2
)(x
2
+2xy+y
2
)
2 Expand by distributing sum groups.
{x}^{2}({x}^{2}+2xy+{y}^{2})+2xy({x}^{2}+2xy+{y}^{2})+{y}^{2}({x}^{2}+2xy+{y}^{2})x
2
(x
2
+2xy+y
2
)+2xy(x
2
+2xy+y
2
)+y
2
(x
2
+2xy+y
2
)
3 Expand by distributing terms.
{x}^{4}+2{x}^{3}y+{x}^{2}{y}^{2}+2xy({x}^{2}+2xy+{y}^{2})+{y}^{2}({x}^{2}+2xy+{y}^{2})x
4
+2x
3
y+x
2
y
2
+2xy(x
2
+2xy+y
2
)+y
2
(x
2
+2xy+y
2
)
4 Expand by distributing terms.
{x}^{4}+2{x}^{3}y+{x}^{2}{y}^{2}+2{x}^{3}y+4{x}^{2}{y}^{2}+2x{y}^{3}+{y}^{2}({x}^{2}+2xy+{y}^{2})x
4
+2x
3
y+x
2
y
2
+2x
3
y+4x
2
y
2
+2xy
3
+y
2
(x
2
+2xy+y
2
)
5 Expand by distributing terms.
{x}^{4}+2{x}^{3}y+{x}^{2}{y}^{2}+2{x}^{3}y+4{x}^{2}{y}^{2}+2x{y}^{3}+{y}^{2}{x}^{2}+2{y}^{3}x+{y}^{4}x
4
+2x
3
y+x
2
y
2
+2x
3
y+4x
2
y
2
+2xy
3
+y
2
x
2
+2y
3
x+y
4
6 Collect like terms.
{x}^{4}+(2{x}^{3}y+2{x}^{3}y)+({x}^{2}{y}^{2}+4{x}^{2}{y}^{2}+{x}^{2}{y}^{2})+(2x{y}^{3}+2x{y}^{3})+{y}^{4}x
4
+(2x
3
y+2x
3
y)+(x
2
y
2
+4x
2
y
2
+x
2
y
2
)+(2xy
3
+2xy
3
)+y
4
7 Simplify.
{x}^{4}+4{x}^{3}y+6{x}^{2}{y}^{2}+4x{y}^{3}+{y}^{4}x
4
+4x
3
y+6x
2
y
2
+4xy
3
+y
4
answer: x^4+4x^3 y+6x^2 y^2+4xy^3+y^4
Which inequality is true?
A. 6 - pi > 3
B. pi + 3 < 6
C. 8 pi > 24
D. 12/pi > 4
Answer:
C.
Step-by-step explanation:
Round pi to 3.14 to get a rough estimate.
6 - 3.14 > 3 FALSE
3.14 + 3 < 6 FALSE
8 * 3.14 > 24 TRUE
12 ÷ 3.14 > 4 FALSE
please help i’ll give brainliest !
Answer:
1: (ab)^3
2: 3m^2n^5
3: 15y^3x^7
4: 8s^5r^7
5: 6q^3p^5
Step-by-step explanation:
sorry but fot the explanation, it would take me 10 years to write but you can trust me with these answers
plsssssss on thissss i need someone helppp plssss helppp
Answer:
B
Step-by-step explanation:
A is incorrect, the y-axis represents the distance, not time
Two similar cylinder have radii 3 cm and 4 cm. If the first cylinder has a volume of 270cm³ , find the volume of the second cylinder.
Please help me , i need help.
Answer: 480 cu. cm
Step-by-step explanation:
Height of first cylinder: h = V/pi r^
= 9.55 cm
Volume of second cylinder = pi r^2 h
= 480
Answer:
360
Step-by-step explanation:
Find the relativeness: If 3 is to 270 then 4 is to ?
270/3 = 90
90 times 4 = 360
Therefore if
3 is to 270
then
4 is to 360
Integers and polynomials are both _[blank 1]_ under addition, subtraction, and multiplication; however, operations on polynomials _[blank 2]_ while operations on integers _[blank 3]_.
Answer:
Integers and polynomials are both closed under addition, subtraction, and multiplication; however, operations on polynomials can sometimes be open while operations on integers produce irrational results .
Step-by-step explanation:
Closed means that addition, subtraction, and multiplication of integers gives as result a new integer; and addition, subtraction, and multiplication of polynomials gives as result a new polynomial.
Operations on polynomials can sometimes be open, like in division.
Operations on integers can produce irrational results , for example, dividing 11 by 9.
A triangle has angle measurements of 36°, 90°, and 54°. What kind of triangle is it?
A. acute B. right C. obtuse
Answer:
Right
Step-by-step explanation:
when a triangle has a 90 degree angle it is always right
Answer:
right angle triangle
Step-by-step explanation:
triangle consists of 90° causing it to be right angledpls help on this question
*image
Answer:
216 2/3
Step-by-step explanation:
yoys : frents
6 : 13
We have 100 yoys
100/6 =50/3
Multiply by 50/3
yoys : frents
6 *50/3 : 13*50/3
100 : 650/3
As a mixed number
650/3 frents
216 2/3
Can anyone help out with this one?
Answer:
the answer is 32
Step-by-step explanation:
8 x 4 = 32
tip: division is backwards multiplication with different signs
hope this helps :)
mark as brainliest?
Which of the following is the measure of an acute angle?
A. 126
B. 86°
C. 90°
Answer:
b
Step-by-step explanation:
an acute angle is an angle that is smaller than 90 degrees.
if the angle is exactly 90 degrees, then it is a right angle.
anything larger than 90 degrees is considered to be an obtuse angle.
Hope this helps for other questions like this as well!
Angle 86° is less than 90°. Then the angle of 86° will be an acute angle. Then the correct option is B.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.
The types of angles are as follows:
If the measure of the angle is less than 90°, then the angle is an acute angle.
If the measure of the angle is equal to 90°, then the angle is a right angle.
If the measure of the angle is greater than 90°, then the angle is an obtuse angle.
Angle 86° is less than 90°. Then the angle of 86° will be an acute angle. Then the correct option is B.
More about the angled link is given below.
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If you answer all the questions on the picture I will give brainliest
Answer:
1. 324
2. 610
3. 72
4. 97
5. 20
6. 28
7. 195
1.) Edge Fitness charges $18 a month for a gym membership and a $30 start-up fee. How much would you spend after 1 year at the gym?
Equation:
Answer:
$246
Step-by-step explanation:
30 + 18(12)=
30 + 216
246
Answer:
30+12*18=246
Step-by-step explanation:
İf the bill 18 dollars for month, it's equals 216 from 12*18.
And the start-fee is 30 dollars. Then 216+30=246
The concentration determined for an unknown sample of hydrochloric acid by a student is 0.1354 M.According to the instructor’s information, the true molarity (M) of this solution is 0.1364 M. What is the percent error in this experiment? Round your answer to the nearest tenth.
Answer:
≈ 0.7% error
Step-by-step explanation:
To solve for percent error, first you have to do 0.1354-0.1364 and take the absolute value, which is 0.001.
Then, divide 0.001 by 0.1364, and then multiply by 100, and the answer is 0.007331378299.
The percent error is approximately 0.7%
Can someone please tell me how to find the value of x.
Answer:
2.547 = x
Step-by-step explanation:
tan 23 = x/6 Use this equation to find the value of x
0.4245 = x/6 Multiply both sides by 6
2.547 = x
Find the equation of the line that contains the given point and is perpendicular to the given line. Write the equation in slope-intercept form, if possible.
(8,1); y=-8x-1
Answer:
y= ⅛x
Step-by-step explanation:
Slope-intercept form
y= mx +c, where m is the gradient and c is the y-intercept.
Let's find the value of m first.
The product if the gradients of 2 perpendicular lines is -1.
Gradient of given line= -8
m(-8)= -1
m= -1 ÷(-8)
m= ⅛
y=⅛x +c
To find the value of c, substitute a coordinate.
When x=8, y=1,
1= ⅛(8) +c
1= 1 +c
c= 1 -1
c= 0
Thus, the equation if the line is y= ⅛x.
Compare the given dimensions of four triangles. Which triangle is possible to construct?
side lengths of 6 m, 8 m, and 9 m
side lengths of 4 m, 5 m, and 12 m
side lengths of 2 m, 5 m, and 8 m
side lengths of 4 m, 7m, and 13 m
The triangle with side lengths of 6 m, 8 m, and 9 m is possible to construct.
What is the condition to construct a triangle with given dimensions?
In a triangle, the sum of the two smaller sides must be greater than the larger side of the triangle. If this condition satisfies, then the triangle could be possible to construct.
Given,
1. A triangle with side lengths of 6 m, 8 m, and 9 m. Here, (6 + 8) > 9. Therefore, the triangle is possible to construct.
2. A triangle with side lengths of 4 m, 5 m, and 12 m. Here, (4 + 5) < 12. Therefore, the triangle is not possible to construct.
3. A triangle with side lengths of 2 m, 5 m, and 8 m. Here, (2 + 5) < 8. Therefore, the triangle is not possible to construct.
4. A triangle with side lengths of 4 m, 7 m, and 13 m. Here, (4 + 7) < 13. Therefore, the triangle is not possible to construct.
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A sloth is climbing down a tree at a constant speed. The sloths height changes by -55 feet in 11 minutes. Which expression represents change in the sloths height each minute?
-55•(-11)
-55•11
-55 divided by 11
-55 divided by (-11)
Willie had a lemonade stand.On one day he sold 117 cups of lemonade. If each cup contains 226 milliliters of beverage, how many liters did he sell in all
Answer:
26.442 litre
Step-by-step explanation:
total beverage sold= 117*226
= 26442ml
in litres= 26442/1000
= 26.442
The last time Andy went bowling he had a mean score of 158
per game.
After three games Andy has a total score of 473. He thinks he
needs to score over 160 in game four to get a mean score
greater than 158.
(a) Is Andy correct?
Show why you think this.
Show a check of your working.
Your answer:
Answer:
no
Step-by-step explanation:
suppose he will get exactly the score of 160 in the game four, the mean score this time will be (473+160)/4=158.25
which has already reached the mean score 158 and even higher than it
therefore, his statement is wrong
Find the value of T when T = 2U + 4V when U = 4 and V = -5
Please help
________________________________
Hey!!!
Solution,
U=4
V=-5
Now,
T=2U+4V
=2*4+4*(-5)
=8+(-20)
=8-20
=-12
So the value of T is -12.
hope it helps
Good luck on your assignment
_____________________________
Write y + 1 = –2x – 3 in standard form.
Question 15 options:
a)
x + 12y = −2
b)
-2x-y = 4
c)
2x + y = -4
d)
y = -2x-4
Answer:
d
Step-by-step explanation:
isolate y and evaluate
Answer:
B
Step-by-step explanation:
move the y to the other side and the three to its opposite side
12.
What is the solution of the equation x2 + 2x - 7 = 0?
Answer:
cancel out as much of the equation as possible by doing inverse operations so add the 7 to both sides
x2 + 2x = 7
Divide by 2
x2 = 3.5
divide by 2 again
x = 1.75
now change x with 1.75 to check
1.75 x 2 = 3.5
3.5 + 3.5 - 7 = 0 so 1.75 is correct
Hope this helps
Step-by-step explanation:
