Given:
The system of equations is:
[tex]x+3y=-13[/tex]
[tex]4x+4y=-12[/tex]
To find:
The solution for the given system of equations.
Solution:
We have,
[tex]x+3y=-13[/tex] ..(i)
[tex]4x+4y=-12[/tex] ...(ii)
Multiply equation (i) by 4, to make common coefficient of x.
[tex]4x+12y=-52[/tex] ..(iii)
Subtract (ii) from (iii).
[tex]4x+12y-4x-4y=-52-(-12)[/tex]
[tex]8y=-40[/tex]
[tex]y=\dfrac{-40}{8}[/tex]
[tex]y=-5[/tex]
Putting [tex]y=-5[/tex] in (i), we get
[tex]x+3(-5)=-13[/tex]
[tex]x-15=-13[/tex]
[tex]x=-13+15[/tex]
[tex]x=2[/tex]
Therefore, the solution of the given system of equations is [tex]x=2,y=-5[/tex].
what is Arithmetic progression and geometric progression?
hope u have a great day!!
Answer:
Arithmetic progression is a series of numbers in which each one varies from the one before it by a constant quantity
Geometric progression is a non-zero number sequence in which each term after the first is found by multiplying the previous term by a fixed, non-zero number known as the common ratio.
Hope you have a good day as well! <3
PLEASE HELP ASAPPPPPP!!!!!!!!!!!!
Answer:
324
Step-by-step explanation:
divide 752 by 2 to get 376
then subtract 52 from 376 to get 324
PLEASE HELP!! find the value of c
Step-by-step explanation:
step 1. so you want to convert a quadratic (ax^2 + bx + c) into a perfect square
step 2. therefore c is half of b then squared
step 3. (26/2)^2 = 169
step 4. (-22/2)^2 = 121
step 5. (-13/2)^2 = (-6.5)^2 = 169/4 = 42.25.
What is the radius of a sphere that has a surface area of 951.1 in2?
A. 6.4 in
B. 7.7 in
C. 9.8 in
D. 8.7 in
Answer:
FORMULA FOR SURFACE AREA OF SPHERE = 4 pi r^2
r = 6 " area = 4 pi X 6 X 6 = 144 pi " squared
r = 12 "
area = 4 X pi X 12 X 12 = 576 pi" squared
ANSWER Area will be 4 times the original
Step-by-step explanation:
Answer:
The answer is D. 8.7
Step-by-step explanation:
A=4πr2
Solving fore
r=1
2A
π=1
2·951.1
π≈8.69978in
7. Tom weighs 168.5 pounds. His 2-year- old son, Nicholas, weighs 33.7 pounds. How many times as much as Nicholas does Tom weigh?
Answer:
Tom weighs 5 times as much as Nicholas
Step-by-step explanation:
To find how many times as much as Nicholas Tom weighs, we will divide Tom's weight by Nicholas' weight. This is done as follows:
Tom's weight = 168.5 pounds
Nicholas' weight = 33.7 pounds
Dividing both weights = 168.5 ÷ 33.7 = 5
∴ Tom weighs 5 times as much as Nicholas
PLEASE HELP IM DESPRATE AND I CANT GET IT
Answer:
1
Step-by-step explanation:
1. 1
if you find -4 on the x-axis, the y value is 1.
what is the 3rd page?
SOLVE FOR X
plz this is like the 5th time i ask, plz don’t respond with links
Answer: I used the Pythagorean theorem and got 6.24, but if I was supposed to use another method, just let me know.
The formula is a^2+b^2=c^2
a=5
c=8
b=?
5^2+b^2=8^2
25+b^2=64
b^2=39
b=6.24,
(If it doesn't work, put x=6.24, x=-6.24. It can be both technically, but most teachers ask only for the first one. )
A = 6x – 2
B = 4x + 48
Answer:
X=25
angle A=148
Step-by-step explanation:
since they are alternating angles
A=B
6x-2=4X+48
solve for X
6x-4x=48+2
2x=50
X=25
angle A= 148
Answer:
148
Step-by-step explanation:
I got it right on khan
Meg and Theo each thought of five numbers. Meg's first number was 0, and so was Theo's. Meg added 2 each time to get her other numbers, and Theo added 4 each time. Which statement correctly compares Theo and Meg'snumbers? A Each of Theo's numbers is 2 more than Meg's corresponding number, because Theo adds 2 more than Meg to get the next number. B Each of Theo's numbers is half of Meg's corresponding number, because Theo adds half as much as Meg to get the next number. C Each of Theo's numbers is 4 more than Meg's corresponding number, because Theo adds 4 each time to get the next number. D Each of Theo's numbers is double Meg's corresponding number, because Theo adds twice as much as Meg to get the next number.
Answer:
D. Each of Theo's numbers is double Meg's corresponding number, because Theo adds twice as much as Meg to get the next number.
Step-by-step explanation:
Meg = 0, 2, 4, 6, 8
Theo = 0, 4, 8, 12, 16
Second number of Theo is 4 which is double of 2 (Meg second number)
This applies to the third, fourth and fifth number of Theo
Therefore,
Each of Theo's numbers is double Meg's corresponding number, because Theo adds twice as much as Meg to get the next number.
hii please help i’ll give brainliest!!
Answer:
third one i think soo ( a push or pull acting on an object )
A ball is dropped from a height of 64 feet. Its height, in feet, can be modeled by the function h(t) = -16t2 + 64, where t is the time in seconds since the ball was dropped. A. After how many seconds will the ball hit the ground? B. What is a reasonable domain and range for this function?
Answer:
See solution below
Step-by-step explanation:
The ball will hit the ground at whrn t = 0
Given the height of the ball modeled by the expression
h(t) = -16t^2 + 64
0 = -16t^2 + 64
16t^2 = 64
t^2 = 64/16
t^2 = 4
t = 2sec
The ball will hit the ground 2secs after
The domain are the values of the input values t and this values start from 2 and greater. Hence the domain of the function is {2, ∞}
when t = 2
h (2) = -16(2)^2 + 64
h(2) = -64+64
h(2) = 0
Hence the range are the output values i.e the height.
The range are within the range {0, ∞}
May i get someone to help with these questions
6. If y = V 81, what is the value of y?
O A) 3
B) 9
C) 40.5
OD) 81
8. Only 54%of the people voted for senior class president. What part of the people didn’t vote?
A) 0.054
B) 0.046
C) 0.46
D) 0.54
Answer:
8) 0.46
Step-by-step explanation:
54% = 0.54 because 0.54*100 = 54% so 54%/100 = 0.54
100% - 54% = 46%
46%/100 = 0.46
You're #6 is unclear, what is V?
Find the area of the composite shape.
1,323 cm squared
1,209 cm squared
955.5 cm squared
1,029 cm squared
Answer:
4. A = 1029 cm²Steps:
A = (35×21)+(21+2×3.5)×21/2
A = 735 + (21+7)×21/2
A = 735 + 28×21/2
A = 735 + 588/2
A = 735 + 294
A = 1029 cm²Please help! In the diagram below, lines l and k are parallel.
What is the measure, in degrees, of ∠ABC ?
Answer:
50
Step-by-step explanation:
x+95 = 4x-10 ( alternate angles)
or, 4x -x = 95+10
or, 3x = 105
x= 35
x+95 = 35+95 = 130
130 + ABC = 180 ( linear pair)
or, ABC = 180-130= 50
Please Help! Solve the equation for x.
1/3x-8= -12
A. x= -12
B. x= -6
C. x= 4
D x= 6
Answer:
A
Step-by-step explanation:
Given
[tex]\frac{1}{3}[/tex] x - 8 = - 12 ( multiply through by 3 to clear the fraction )
x - 24 = - 36 ( add 24 to both sides )
x = - 12 → A
Use the equation below to answer the division question. A/b+(1/4x1/b)=1/2 What is 1/2 divided by a/b?
Answer:
[tex]\mathbf{\dfrac{2b- 1}{2b}}[/tex]
Step-by-step explanation:
[tex]\text{The given equation is:}[/tex]
[tex]\dfrac{a}{b}+ (\dfrac{1}{4} \times \dfrac{1}{b}) = \dfrac{1}{2}[/tex]
[tex]\text{To find:}[/tex]
[tex]\dfrac{1}{2} } \div {\dfrac{a}{b} }[/tex]
[tex]\text{From the given equation:}[/tex]
[tex]\dfrac{a}{b}+ (\dfrac{1}{4b}) = \dfrac{1}{2}[/tex]
[tex]\dfrac{a}{b} = \dfrac{1}{2} - (\dfrac{1}{4b})[/tex]
[tex]\dfrac{a}{b} = \dfrac{4b- 2}{(2) (4b)}[/tex]
[tex]\dfrac{a}{b} = \dfrac{4b- 2}{8b}[/tex]
[tex]\text{Now; the value of}[/tex] [tex]\dfrac{a}{b} \div \dfrac{1}{2}[/tex]
∴
[tex]\implies \dfrac{4b- 2}{8b} \div \dfrac{1}{2}[/tex]
[tex]\implies \dfrac{4b- 2}{8b} \times \dfrac{2}{1}[/tex]
[tex]\implies \dfrac{4b- 2}{4b}[/tex]
[tex]\implies \dfrac{2b- 1}{2b}[/tex]
if B is the midpoint of AC, and AB = 12 cm. How long is segment BC? A 12 cm B
Answer:
6
Step-by-step explanation:
because if B is the mid point of AC And ab is 12 cm If we divide 12 by 2 it'll be 6..but I'm not sure sorry
7th grade math again Imao sorry
but ik its a lot but plss
17: -15x +0
18: -17x= -204
19: 21= -7n
20: m/4 = -13
22: -143= 11x
23: -16 + x = --15
26: n-8=-10
27: v/7 =8
28: a+11=20
30: 18+m=8
Answer:
Down below
Step-by-step explanation:
17: -15x
18: 12
19: -3
20: -52
22: -13
23: 31
26: -2
27: 56
28: 9
30: -10
1.
a.
A cookie recipe uses 3 cups of flour to make 15 cookies. How many cookies can you make
with this recipe with 4 cups of flour? (Assume you have enough of the other ingredients.)
b.
A teacher uses 36 centimeters of tape to hang up 9 student projects. At that rate, how
much tape would the teacher need to hang up 10 student projects?
Answer:20 cookies
Step-by-step explanation:
guys help i only have 10 more minutes left ;-;
Answer:
20
Step-by-step explanation:
12 = 6/10 x
120 = 6x
x = 20
I’ll give brainliest!!!!HELP ASAP
Answer:
Step-by-step explanation:
im not sure but i think that you can either say theat you can turn the freaction into a percentage or turn the percentage into a fraction and then you can start comapring them i hope it helps?
Answer:
first the fraction should be converted in percent.
later both the percent can compared..
An artist is painting flower pots that each require 1/32 gallon of paint. What is the maximum number of flower pots the artist can paint with 3/4 gallon of paint?
Answer:
24 flower pots
Step-by-step explanation:
Fraction of paint required per flower pot = 1/32
Number of pots that can be painted with 3/4 galoons of paint :
Total Fraction of paint had / fraction of paint required per flower pot
3/4 ÷ 1/32
3/4 * 32 / 1
(3*32) / 4
96 /4
= 24 flower pots
Which phrase represents the algebraic expression for n – 4?
A. The quotient of a number and four.
B. Four less than a number.
C. Four minus a number.
D. Four more than a number.
Step-by-step explanation:
B. Four less than a number.
Find the missing side of this right triangle.
Answer:
13
Step-by-step explanation:
it's a 5,12,13 triangle
and we can find the sides by Pythagorean theorem:
a^2 + b^2 = root of c
25 + 144 = 169
root of 169 = 13
Help, please
A: 2
B: -2
C: 1/2
D:-1/2
Answer:
[tex]\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \int\limits^a_b {x} \, dx \geq \sqrt{x} \left \{ {{y=2} \atop {x=2}} \right. \frac{x}{y} \alpha \alpha \alpha =\beta[/tex]
Step-by-step explanation:
About how many more website hits were there on Saturday than on Friday?
Answer:
1,000 hits
Step-by-step explanation:
Saturday: 2,000 hits
Friday: 1,000 hits
2,000 - 1,000 = 1,000
Answer: 1,000 hits
Step-by-step explanation:
I just took the test, it's right.
Okay so i need to know the area of the rectangle on the inside its 5ft on the right side its 6ft and on the bottom its 5ft please and thank you :)
Answer:
30ft^2
Step-by-step explanation:
Area of a rectangle = Length * Width
Given
Length = 6ft
Width = 5ft
Substitute
Area of the rectangle = 6ft *5ft
Area of the rectangle = 30ft^2
Hence the area of the rectangle is 30ft^2
Please help me with this and find x!! Thank you, only if you know!
Answer:
x = 9.8
Step-by-step explanation:
to find x, use pythagorean theorem
[tex]a^{2} = c^{2} - b^{2}[/tex]
[tex]a^{2} = 14^{2} - 10^{2}[/tex]
[tex]a^{2} = 196 - 100[/tex]
[tex]a^{2} = 96[/tex]
[tex]\sqrt{a^2} = \sqrt{96}[/tex]
[tex]a = 9.7979[/tex] ⇒ 9.8
Answer:
The value of x=4√6cm or √96cm
Step-by-step explanation:
According to Pythagoras theorem,
Hypotenuse²=Perpendicular²+Base²
H²=P²+B²
Hypotenuse given=14cm
Base=10cm
Perpendicular=x
14²=P²+10²
196=P²+100
196-100=P²
96=P²
√96=P
4√6cm=x
What is the volume of a cube with 1/2
inch sides?
Answer:
1/8 in.
Step-by-step explanation:
1/2*1/2*1/2=1/8
The perimeter of a rectangle is 158 cm. If the length is 7 more than 3 times the width:
i)
Write an equation for the length (l) in terms of the width (w).
Use your understanding of simultaneous equations to determine the unknown
dimensions.
Find the area of the rectangle.