3x - 4y= -2
In standard form
Answer:
[tex]4y = 3x + 2 \\ [/tex]
Step-by-step explanation:
y = mx + c[tex]3x - 4y = - 2 \\ 3x - 4y - 3x = - 2 - 3x \\ - 4y = - 2 - 3x \\ \frac{ - 4y}{ - 1} = \frac{ - 2 - 3x}{ - 1} \\ 4y = 2 + 3x \\ 4y = 3x + 2 \\ [/tex]
Describe the pattern. Find the next three numbers.
7. 0.7, 2.1, 6.3, 18.9,...
8. 0.13, 0.65, 3.25, 16.25,...
9. 2, 0.04, 0.0008, 0.000016, ...
10. 6, 1.8, 0.54, 0.162, ...
9514 1404 393
Answer:
7. a[n] = 3·a[n-1]; 56.7, 170.1, 510.3
8. a[n] = 5·a[n-1]; 81.25, 406.25, 2031.25
9. a[n] = 0.02·a[n-1]; 0.00000032, 0.0000000064, 0.000000000128
10. a[n] = 0.3·a[n-1]; 0.0486, 0.01458, 0.004374
Step-by-step explanation:
These sequences are all geometric sequences, so terms have a common ratio. That ratio can be found by dividing the second term by the first. The next term is found by multiplying the last term by the common ratio.
__
7. ratio is 2.1/0.7 = 3. Each term is 3 times the last. The next three terms are ...
18.9×3 = 56.7, then 170.1 and 510.3
__
8. ratio is .65/.13 = 5. Each term is 5 times the last. The next three terms are ...
16.25×5 = 81.25, then 406.25 and 2031.25
__
9. ratio is .04/2 = .02. Each term is 0.02 times the last. The next three are ...
0.000016×0.02 = 0.00000032 = 3.2×10^-7, then 6.4×10^-9 and 1.28×10^-10
__
10. ratio is 1.8/6 = 0.3. Each term is 0.3 times the last. The next three are ...
0.162×0.3 = 0.0486, then 0.01458 and 0.004374
What is the volume of the oblique cone? Round to the nearest tenth. 142. 4 cubic units 142. 4 square units 196. 0 cubic units 196. 0 square units.
The volume of the oblique cone is 142.4 cubic units. Then the correct option is A.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
The radius and height of the oblique cone are 4 and 8.5 unis.
Then the volume of the cone will be given as
[tex]\rm Volume = \dfrac{1}{3} \pi r^2 h\\\\\\Volume = \dfrac{1}{3} \pi *4^2 * 8.5 \\\\\\Volume = \dfrac{1}{3} \pi * 16 * 8.5 \\\\\\Volume = 142.4 \ cubic \ units[/tex]
The volume of the oblique cone is 142.4 cubic units. Then the correct option is A.
More about the geometry link is given below.
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Distribute & Simplify 6 + 2 (7x +3y-1)
Answer:
56x+24y-8
Step-by-step explanation:
6 + 2 (7x +3y-1)
8(7x+3y-1)
56x+24y-8
Amy is catching a flight for London at 12:00 noon. Prior to leaving for the airport, she needs to allow 30 minutes for a shower and 30 minutes to finish packing last minute items. She also needs to give herself 1 hour to drive to the airport. If she needs to arrive for her international flight two hours before departure, then she needs to set her alarm to wake up by what time in order to be on schedule?
Answer:
8:00amStep-by-step explanation:
Given that the departure time is 12:00 noon
let us calculate the time she takes to prepare herself
preparation time
shower= 30minutes
last minutes item= 30minutes
drive to airport= 1 hour= 60minutes
total time for preparation = 2 hours
2 hours before departure time is 12-2= 10:00 am
with 2 hours of preparation she needs to set the alarm by=10-2= 8:00am
the triangle below, what is the length of the side opposite the 60° angle? 60 3 30 3sqrt(3) B. 6 2sqrt(3); sqrt(3)
Answer:
A.
Step-by-step explanation:
I know I am late. Hope this helps you understand at least.
For a 30 60 90 triangle the side opposite to the 60 is always x√3.
The hypotenuse is always 2x
And the site opposite to the 30 is always x.
Since x is 3 you would replace the x in x√3, with 3.
Please look at the picture.
Answer:
Blue
Step-by-step explanation:
I graphed it, and got the same thing.
If LMN = XYZ, which congruences are true by CPCTC? check all that apply.
Answer:
ML congruent YX
Step-by-step explanation:
You have chosen the correct answers
but , also [ ML congruent YX ]
Answer: Z= N
ML= YX
X=L
Step-by-step explanation:
There are 3/4 as many boys as girls in class of fifth-grade. If there are 35 students in class, how many are girls?
Answer:
girls = 20
boys = 15
Step-by-step explanation:
boys = 3/4 x = .75x
girls = x
x + .75x = 35
1.75x = 35
x = 35/1.75
x = 20
girls = 20
boys = 3/4 * 20 = 15
boys = 15
I need help, if you could that would be awesome.
[tex]\\ \rm\rightarrowtail -4(2x+1)\leqslant 3(x-5)[/tex]
[tex]\\ \rm\rightarrowtail -8x-4\leqslant 3x-15[/tex]
[tex]\\ \rm\rightarrowtail -11x\leqslant -11[/tex]
[tex]\\ \rm\rightarrowtail x\geqslant 1[/tex]
Answer:
x ≥ 1
Step-by-step explanation:
Given inequality :
-4(2x + 1) ≤ 3(x - 5)
Step 1 : Expand on both sides
-4(2x + 1) ≤ 3(x - 5)-8x - 4 ≤ 3x - 15Step 2 : Bring x terms to one side and numerical terms to the other
-8x - 4 ≤ 3x - 15-11x ≤ -11Step 3 : Divide by -11 on both sides
Remember when dividing by a negative number, the sign always changes to become the opposite-11x ≤ -11x ≥ 1
Solution
x ≥ 1
A rose garden in the city park is rectangular and is 9 m wide. If the area of the rectangle is 144 m², what is the length of the garden?
Answer:
Length = 16m
Step-by-step explanation:
Area of a rectangle = Length * Width
144m^2 = Length * 9m
Divide both sides by 9m
Length = 16m
A friend ate 2/3 of a small muffin and his friend ate 2/3 of a large muffin, did they eat the same amount?
Answer:
no, because both muffins are different sizes, meaning that if a friend ate 2/3 of a small muffin than that would be different
The measure of the angles of a triangle are shown in the figure below . Solve for x
Answer:
56
Step-by-step explanation:
because the triangle is 180 degrees
Answer:
x = 56°
Step-by-step explanation:
Hello!
All angles in a triangle add up to 180°
84 + 40 = 124
180 - 124 = 56°
If you need further explanation, let me know!
- profparis
Determine the whether the quadratic equation below has a maximum or minimum.
y = 4x² – 3x - 43
Answer:
Minimum
Need to know:
Derivative power rule: d/dx xⁿ = nxⁿ⁻¹
Derivative constant rule: d/dx c = 0
Step-by-step explanation:
A way to determine whether the quadratic equation has a maximum or a minimum is by graphing it.
If we look at the image below, we notice that the graph does not go to the bottom infinitely, but it keeps going up infinitely. This means there is a minimum to this graph.
Another way to determine this is through calculus.
First, we have to find the point of extremum
Find the derivative of the given equation
d/dx 4x² - 3x - 43
You can separate the terms and solve them individually
d/dx 4x² = 4(2)(x²⁻¹) = 8x
d/dx -3x = -3(1)(x¹⁻¹) = -3(1)(1) = -3
d/dx -43 = 0
y' = 8x - 3
Set y' to equal 0
8x - 3 = 0
Add 3 to both sides
8x - 3 = 0
+ 3 + 3
8x = 3
Divide both sides by 8
8x/8 = 3/8
x = 3/8
There is only one point of extremum
Now we have to test whether the equation changes from negative to positive or positive to negative
If it changes from negative to positive, that point is a minimum
If it changes from positive to negative, that point is a maximum
To find this, pick a number less than 3/8 and plug it in the place of x in the derivative equation. We'll use 0.
y' = 8(0) - 3 = -3
Now we will do the same for a number larger than 3/8. We'll use 1
y' = 8(1) - 3 = 5
Since the lesser side of 3/8 is negative and the larger side of 3/8 is positive, that means it changes from negative to positive. This point is a minimum.
5x2y and 4yx2 are like terms ?
Answer:
40 x^2 y^2
Step-by-step explanation:
5×2 y (4 y x^2)
Answer:
yes
Step-by-step explanation:
5x^2y
4yx^2
Rewriting the second term
4 x^2y
We have x^2 and y in each term so they are like terms
Find the modulus of 15+36i
Answer:
The modulus is 39
Step-by-step explanation:
Modulus of a complex number
The modulus or absolute value, of a complex number, denoted |x+iy| is calculated with the formula:
[tex]\displaystyle |x+\mathbf{i}y|=\sqrt {x^{2}+y^{2}}[/tex]
The given complex number is z = 15 + 36i
Calculating the modulus:
[tex]|z|=\sqrt {15^{2}+36^{2}}[/tex]
[tex]|z|=\sqrt {225+1296}[/tex]
[tex]\boxed{|z|=\sqrt {1521}}[/tex]
|z|=39
The modulus is 39
convert 0.83 repeating to a fraction. PLZ help me
Answer:
5/6
Step-by-step explanation:
Explanation:
We first let 0.83 (3 being repeated) be
x
.
Since
x
is recurring in 1 decimal places, we multiply it by 10.
10
x
=
8.33
Next, we subtract them.
10
x
−
x
=
8.33
−
0.83
9
x
=
7.5
Lastly, we divide both sides by 9 to get
x
as a fraction.
x
=
7.5
9
=
75
90
=
5
6
The solution is, 5/6, when convert 0.83 repeating to a fraction.
What is fraction?A fraction represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters.
here, we have,
Explanation:
We first let 0.83 (3 being repeated) be x.
Since,
x is recurring in 1 decimal places, we multiply it by 10.
10x=8.33
Next, we subtract them.
10x−x=8.33−0.83
9x=7.5
Lastly, we divide both sides by 9 to get x
as a fraction.
x=7.5/9
=75/90
=5/6
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−(−2−5x)+(−2)=18 I am confused on how to get the answer.
Answer:
3.6
Step-by-step explanation:
-(-2-5x)+(-2)=18
2+5x-2=18
5x=18
X=18/5
X=3.6
Answer:
Hello there!^^
Step-by-step explanation:
✰✰✰✰✰✰✰✰✰✰✰✰✰✰✰✰✰✰✰✰
Add 2 to both sidesSimplify Divide both sides by -1SimplifyAdd 2 to both sidesSimplifyDivide both sides by -5Finally, you have to simplify again.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
→ 1. -(-2-5x)-2+2=18+2
→ 2. -(-2-5x)=20
→ 3. 20/-1
→ 4. -2-5x=-20
→ 5. -2-5x+2=-20+2
→ 6. -5x=-18
→ 7. -5x/-5 = -18/-5
→ 8. x = 18/5
Answer: x = 18/5Hence the answer would be 18/5
By you fellow brainly user: xCherryxUwU
#Thanks!
✰✰✰✰✰✰✰✰✰✰✰✰✰✰✰✰✰✰✰✰
Help me solve this problem please 1st problem
Answer:
I think its C
Step-by-step explanation:
Range means its the y axis and the graph shows -1 and 4 being the range
convert 3\ 11 to a decimal using long divison
Answer:
0.27272727272
Step-by-step explanation:
Answer:
3/11 = .272
Step-by-step explanation:
The members of the senior class are planning a dance. They use the equation
to determine the total receipts.
2r +t
2
Write the equation in terms of the following variables.
Answer:
I'm guessing you are saying 2r, t, and 2
If that is the case, then the terms are 2r, t, and 2.
Step-by-step explanation:
Terms are numbers in an equation, like terms is when you combine something that is the same variable.
You have 6 pints of glaze. It takes 7/8 of a pint to glaze a bowl and 9/16 of a pint to glaze a plate. a. How many bowls could you glaze? How many plates could you glaze? You could glaze bowls. You could glaze plates. b. You want to glaze 5 bowls, and then use the rest for plates. How many plates can you glaze? How much glaze will be left over? You could glaze plates and will have pints of glaze left over. c. How many of each object could you glaze so that there is no glaze left over? Explain how you found your answer. You could glaze bowls and plates. The bowls use pints of glaze and the plates use pints of glaze, for a total of 6 pints of glaze.
Answer:
a.
How many bowls could you glaze?
we can only glaze 6 bowls
How many plates could you 10 plates
b. You want to glaze 5 bowls, and then use the rest for plates.
How many plates can you glaze?
Hence we can only glaze 2 plates
How much glaze will be left over?
8/9
c. How many of each object could you glaze so that there is no glaze left over?
= 4 4/23 bowls and 4 4/23 plates
Step-by-step explanation:
You have 6 pints of glaze. It takes 7/8 of a pint to glaze a bowl and 9/16 of a pint to glaze a plate.
a.
How many bowls could you glaze?
It takes 7/8 of a pint to glaze a bowl
We have 6 pint
7/8 pint = 1 bowl
6 pints =
6 pints/ 7/8
= 6 × 8/7
= 48/7
= 6.8571428571 bowls
We can't glaze decimal of a bowl, hence, we can only glaze 6 bowls
How many plates could you glaze?9/16 of a pint to glaze a plate.
9/16 pint = 1 bowl
6 pints =
6 pints/ 9/16
= 6 × 16/9
= 10.666666667 plates
We can't glaze decimal of a plate, hence, hence can only glaze 10 plates
b. You want to glaze 5 bowls, and then use the rest for plates.
1 bowl = 7/8 pints
5 bowls =
5 × 7/8pints
= 4 3/8 pints of glaze would be used for bowls
How many plates can you glaze?
The rest is for plates, hence:
6 pints - 4 3/8
1 5/8 pints of glaze would be left over to glaze plates.
Hence if
9/16 pints = 1 plate
1 5/8 pints =
= 2 8/9
Hence we can only glaze 2 plates
How much glaze will be left over?
8/9
You could glaze plates and will have pints of glaze left over.
c. How many of each object could you glaze so that there is no glaze left over?
We have 6 pints of glaze
7/8 x + 9/16 × x = 6 pints
= 4 4/23 bowls and 4 4/23 plates
A triangle can be constructed by taking its sides as
(1) 1.8 cm, 2.6 cm, 4.4 cm
(2) 2 cm, 3 cm, 4 cm
(3) 3.2 cm, 2.3 cm, 5.5 cm
(4) 2.4 cm, 2.4 cm, 6.4 cm
Answer:
can be constructed by taking the sides 2cm, 3cm,4cm
Samantha and mia each left julia’s house at the same time. mia walked north at 7 kilometers per hour. samantha ran west at 11 kilometers per hour. how far apart were they after one hour? round the answer to the nearest tenth. a right triangle. a point at the angle with measure 90 degrees is labeled julia's house. a line drawn north is labeled 7 kilometers and a line drawn west is labeled 11 kilometers. 7.7 km 8.4 km 13.0 km 18.0 km
Mia walked 7km/h so after 1 hour, she is 7 km north of the house of Julia
Samantha walked 11km/h so after 1 hour, she is 11 km west of the house of Julia.
The points where Mia and Samantha are after 1 hour , and the house of Julia form a right triangle with sides 7 and 11 km. The distance between the girls, is the hypotenuse of his triangle.
by the pythagorean theorem:
Answer: 13 km
Answer:
C
Step-by-step explanation:
Fifteen percent of the students in seventh grade at Western Middle School have perfect attendance. There are 220 students in seventh grade. How many have perfect attendance? Perfect Attendance 5% 5% 5% 5% 5% 5% 5% 5% 5% 5% 5% 5% 5% 5% 5% 5% 5% 5% 5% 5% 11 22 33 44
Answer: 33
Step-by-step explanation:
From the question, we are informed that Fifteen percent of the students in seventh grade at Western Middle School have perfect attendance and that there are 220 students in seventh grade.
To calculate the number of students who have perfect attendance, we multiply 15% by 220. This will be:
= 15% × 220
= 15/100 × 220
= 0.15 × 220
= 33
33 students have Perfect attendance
Answer:
33
Step-by-step explanation:
The code for puzzle one escape the rooms
Answer:
there Is no question to that cluld you explain. sorry I don't know how to comment.
what is the value of the expression?
4x3+(12divided by 2x2)
Answer:
the answer is 15.
Answer:
it is 15
Step-by-step explanation:
John weights 65.7 kg. If he reduces his weight in the ratio 5 : 4, find his reduced weight.
Let the previous weight be 5x.
[tex]\small\bold\pink{ →}\small\bold{5x = 65.7 }[/tex]
[tex]\small\bold\pink{ →}\small\bold{x =\frac{65.7}{5}}[/tex]
[tex]\small\bold\pink{ →}\small\bold{x = 13.14}[/tex]
Therefore, the reduce weight = 4 × 13.14
= 52.56 kg
Answer :- 52.56 kg
Kimberly's parents added a hot tub to the backyard this summer, so Kimberly is hosting a hot tub and movie night for her close friends. The hot tub is shaped like a rectangular prism. It is 7 feet long, 3
1
4
feet deep, and has a volume of 159
1
4
cubic feet.
The width of the hot tub given its volume, length and depth is 7 feet.
What is the width of the hot tub?A rectangular prism is a three-dimensional object with six faces. Opposite faces are identical.
Volume of a rectangular prism = length x width x height
Width = volume / ( depth x length)
159 1/4 ÷ (7 x 3 1/4)
637/4 ÷ (91/4)
637/4 x 4/91 = 7 feet
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what is 12 ÷ (4-2.3) in word form
Answer:
> twelve divided by open bracket four subtract by two multiple by three close bracket.
The required form of expression 12 ÷ (4 - 2.3) is a division of 12 by a difference of 4 and 2.3.
Given that,
To write the expression 12 ÷ (4-2.3) in word form.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division.
Here,
In the expression, 12 ÷ (4-2.3)
12 is getting divided by the subtraction 2.3 from 4, this implies the division of 12 by a difference of 4 and 2.3.
Thus, the required form of expression 12 ÷ (4 - 2.3) is a division of 12 by a difference of 4 and 2.3.
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