Answers
Directly solving the linear equations, we will see that:
a) x = -4b) x = 6c) x = 4/3d) x = 2.How to solve linear equations?
Let's start with the first one:
3 - x = 11 + x
First, move all the terms with x to the left side and the ones without to the right side:
-x -x = 11 - 3
-2x = 8
Now we divide both sides by -2
x = 8/-2 = -4
x = -4
2) 2x + 7 = 3x + 1
Same procedure:
2x - 3x = 1 - 7
-x = -6
x = -6/-1 = 6
x = 6
3) 8 - 2x = 4 + x
-2x - x = 4 - 8
-3x = -4
x = -4/-3 = 4/3
4) 4x + 2 = 2x + 6
4x - 2x = 6 - 2
2x = 4
x = 4/2 = 2
x = 2
So we solved all linear equations.
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Related Questions
(25 pts!!! help needed asap) x2y3z Write the expression in exponential form. A) x2yz4 B) x6y7z4 C) x 1 2 y 3 4 z D) x 1 2 y 3 4 z 1 4
Answers
Answer:
D
Step-by-step explanation:
Given expression :
[tex]\sqrt[4]{x^{2}y^{3}z }[/tex]Solving :
A number with the 4th root is the same as a number raised to the power 1/4[tex](x^{2})^{1/4}(y^{3})^{1/4}(z)^{1/4}[/tex][tex]x^{\frac{1}{2}} y^{\frac{3}{4}}z^{\frac{1}{4} }[/tex] [Option D]Answer:
D [tex]\sf x^{\frac12} y^{\frac34} z^{\frac14}[/tex]
Step-by-step explanation:
[tex]\sqrt[4]{\sf x^2y^3z}=\sqrt[4]{\sf x^2y^3z^1}[/tex]
Apply the Radical Product Rule [tex]\sqrt{\sf ab} =\sqrt{\sf a}\sqrt{\sf b}[/tex] :
[tex]\implies \sqrt[4]{\sf x^2}\sqrt[4]{\sf y^3}\sqrt[4]{\sf z}[/tex]
Apply fractional exponent rule [tex]\sqrt[n]{\sf a^m} = \sf a^{\frac{m}{n}}[/tex] :
[tex]\sf \implies x^{\frac24} y^{\frac34} z^{\frac14}[/tex]
Simplify:
[tex]\sf \implies x^{\frac12} y^{\frac34} z^{\frac14}[/tex]
154-54(79-1554)+12x24
Answers
Answer:
80092
Step-by-step explanation:
Answer:
80092.Step-by-step explanation:
Given equation:
154 - 54 * (79 - 1554) + 12 * 24Step-By-Step:
Step 1
Subtract the numbers:
154 - 54 * (79 - 1554) + 12 * 24= 154 - 54 * (-1475) + 12 * 24Step 2
Multiply the numbers:
154 - 54 * (-1475) + 12 * 24= 154 + 79650 + 288Step 3
Add the numbers:
154 + 79650 + 288= 80092.Answer is 80092.
PLEASE HELP
Which is the graph of f(x) = 1/4 (4)x?
No links
Answers
Answer:
3rd
Step-by-step explanation:
Answer: graph 3
Step-by-step explanation:
the standard form of a linear equation is the form ______________
Answers
Answer:
Ax+By=C
Step-by-step explanation:
:)
How do you solve the Goldbach's Conjecture?
Answers
Answer:
Every integer greater than 5 can be written as the sum of three primes.
Step-by-step explanation:
Every integer greater than 5 can be written as the sum of three primes.
I need help on this problem, i checked some that I think might be right, could I get some help on it?
Answers
Answer:
You are right
Step-by-step explanation:
What is the relationship between the ratios? 10/24 and 5/12 Proportional Not proportional (the numbers are fractions)
Answers
Answer:
Proportional
Step-by-step explanation:
[tex]\frac{10}{24}= \frac{5}{12}[/tex] the ratio is 2:1
5 x 2 = 10
12 x 2=24
The ratios are proportional.
Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day!
Stay Brainy!
−Kallmekrish
Answer:
The given ratios are proportional
Step-by-step explanation:
To consider the fractions as "proportional", they must be equivalent. Let us assume that the fractions are equivalent. Then, we get;
[tex]\implies \dfrac{10}{24} = \dfrac{5}{12}[/tex]
When using cross multiplication, we get;
[tex]\implies \dfrac{10}{24} = \dfrac{5}{12}[/tex]
[tex]\implies 10 \times 12 = 24 \times 5[/tex]
When simplified, we get;
[tex]\implies 10 \times 12 = 24 \times 5[/tex]
[tex]\implies 120 = 120 \ \checkmark[/tex]
Therefore, the relationship is proportional.
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answers
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♫[/tex]
Let's solve ~
Surface area of Cylinder :
[tex]\qquad \sf \dashrightarrow \:2\pi r(r + h)[/tex]
[tex]\qquad \sf \dashrightarrow \:2 \pi \times 5(5 + 4)[/tex]
[tex]\qquad \sf \dashrightarrow \:10 \pi(9)[/tex]
[tex]\qquad \sf \dashrightarrow \:90 \pi[/tex]
-4x - 8 = -(5x + 3) pleasee
Answers
hopefully it's correct!!
Answer:
x = 5
Step-by-step explanation:
-(5x + 3) --> -5x - 3
-4x - 8 = -5x - 3
-4x - 8 + 8 = -5x - 3 + 8 (add 8 to both sides)
-4x = -5x + 5
-4x + 5x = -5x + 5 + 5x (add 5 to both sides)
x = 5
A cylinder has a base diameter of 16cm and a height of 20cm. What is its volume in cubic cm, to the nearest tenths place?
Answers
Answer:
4021.76
Step-by-step explanation:
v= πr^2h
3.142x8×8×20
A 5.2 pound package of chicken costs $11.90. What is the cost per pound?
Answers
Answer:
$2.29
Step-by-step explanation:
1. Divide $11.90 by 5.2
2. 11.90➗5.2 = 2.88 but you round the number so it will be 2.29
Hope this helps :)
A vase is in the shape of a rectangular prism. It has a base area of 40
square inches and a height of 10 inches. The vase is filled to the top with
water and emptied into a fish tank. The fish tank is also shaped like a
rectangular prism. How much more water would be needed to fill the fish
tank to the top?
Answers
Answer:
40/10
Step-by-step explanation:
The amount of water needed to fill the fish tank to the top is 400 inch³
What is the Volume of a Rectangle?
The volume of the rectangle is given by the product of the length of the rectangle and the width of the rectangle and the height of the rectangle
Volume of Rectangle = Length x Width x Height
Volume of Rectangle = Area of Rectangle x Height
Given data ,
Let the volume of the fish tank be = V
Let the base area of the rectangle be A = 40 inch²
Let the height h of the rectangle be h = 10 inches
Now , the volume of the vase = volume of fish tank
So , the volume of fish tank is calculated from the formula,
Volume of fish tank = base area of the rectangle x height h of the rectangle
Substituting the values in the equation , we get
Volume of fish tank = 40 x 10 inch³
On simplifying the equation , we get
Volume of fish tank = 400 inch³
Therefore , the value of V is 400 inch³
Hence ,
The amount of water needed to fill the fish tank to the top is 400 inch³
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Triangle N P O is shown. Line O N extends through point M to form exterior angle P N M. Angle N P O is 38 degrees. Angle P O N is 39 degrees. Exterior angle P N M is x degrees.
Which statement about the value of x is true?
x > 38
x < 39
x < 77
x > 103
Answers
Answer: x>38
Step-by-step explanation:
By the exterior angle theorem, x=39+38=77.
Write a function rule for the relationship between the amount of plant food remaining, f), and the number of days that have passed, Type the correct answer in the box 0 B 2 ve CSC Eco 109 f(x) =
Answers
Answer: f(x) = 72-12x
Step-by-step explanation: Hope it helps
Subtract 17a²b from 2a²b
Answers
Answer:
-[tex]15 {a}^{2}b[/tex]
I am so confused. Help.
Answers
[tex]\large\sf\underline{ANSWER:}[/tex]
√3
x is the length of the third side
x²+1² = 2² { Pythagorean Theorem}
x²+1 = 4 {Simplify}
x²=3 {Subtract 1 from each side}
x=√3 {Take the square root of each side}
The Length of the third side is √3
#[tex]\large\sf\underline{CarryOnLearning}[/tex]
Select the correct answer from each drop-down menu. jordan is tracking a recent online purchase. the shipping costs state that the item will be shipped in a 24-inch long box with a volume of 2,880 cubic inches. the width of the box is seven inches less than the height. the volume of a rectangular prism is found using the formula v = lwh, where l is the length, w is the width, and h is the height. complete the equation that models the volume of the box in terms of its height, x, in inches. x2 - x = is it possible for the height of the box to be 15 inches?
Answers
Answer:
A. We are given that the length of the box is equal to 24 as indicted in the "24-inch long". From the given, it is also stated that the width of the box is 7 inches less than the height. If the height of the box is x, the width is then x - 7. The equation that would let us solve the problem is,
2880 = 24(x)(x - 7)
Simplifying,
2880 = 24x² - 168x
B. The value of x from the equation is 15. Thus, the answer is YES.
Step-by-step explanation:
a) The equation that models the volume of the box in terms of its height will be 2880 = 24x² - 168x.
b)Yes, it is possible for the height of the box to be 15 inches
What is volume?Volume is the three-dimensional space bounded by a boundary or inhabited by an item.
The given data in the problem is;
L is the length of the box= 24-inch
V is the volume = 2,880 cubic inches.W
W is the width of the box
h is the height
Let the side of the box is x then volume V is found as;
V=LWh
2880 = 24(x)(x - 7)
2880 = 24x² - 168x
Hence the equation that models the volume of the box in terms of its height will be 2880 = 24x² - 168x.
b)Yes, it is possible for the height of the box to be 15 inches
The value of x obtained from the equation is 15.
Hence yes, it is possible for the height of the box to be 15 inches
To learn more about the volume refer to the link;
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choose the name of highlighted part
Answers
Find the area of the trapezoid
Answers
2h=42+36
2·24=936
Write the equation of a line that passes through the point (-4,-5) and is perpendicular to the line y= -1/2x+5
Answers
Answer:
Step-by-step explanation:
First let us determine the perpendicular line by remembering that a perpendicular line that intersects with the current line must have the opposite reciprocal slope as it. Meaning... the current slope is -1/2 and the opposite reciprocal is +2 or 2.
To clarify...
*opposite= the opposite sign ex. the opposite of +3 is -3 and the opposite of -1 is +1
*reciprocal=put simply, the reciprocal is the flipped version of the current number ex. the reciprocal of 1/2 is 2/1 or 2 and the reciprocal of 3 or 3/1 is 1/3
After we determine the slope of the perpendicular line, we are also know the point it must pass through.
Given that, we can find the equation.
Using y=mx+b
Plug in known varibles
y=-5
x=-4
m=2
b=?
-5=2(-4)+b
b=3
So now that we have b, we can put the equation in standard form.
y=2x+3
Hope this helps!!!
Please help me with this please and thank you
Answers
(-2,1)
-1,2
0,4
1,8
2,16
the students in mr reed's english class are reading the same 760 page novel. Three friends alice, bob and chandra, are in the class. Alice reads a page in 20 seconds, bob reads a page in 45 seconds and chandra reads a page in 30 seconds. Before chandra and bob start reading. Alice says she wants to team read with them. If they divide the book into three sections so that each reads fore the same amount of time, how many seconds will each have to read?
Answers
Answer:
please rate and mark as brainlest.
Step-by-step explanation:
alice will have 5067 seconds,
bob will have 11400 seconds
chandra will have 7600 seconds.
first, divide 760 by 3 to get 253.33, then just multiply each value of seconds for each person to get their value, and round.
please rate and mark as brainlest.
find the hcf by prime factorization method of 18 and 24
Answers
Answer:
6
Step-by-step explanation:
Prime factorization of 18 = 2 × 3 × 3
Prime factorization of 24 = 2 × 2 × 2 × 3
Common factors of 18 and 24 = 2 × 3 = 6
HCF (18,24) = 6
How can we write the domain and range for a function that is not piece-wise such as y=x?
Answers
Answer:
(−∞,∞)
Step-by-step explanation:
For every x value there is, there is an equivalent y value, thus there are infinite x and y values that satisfy this equation.
Hope this helps!!!
a customer wants you to enlarge a photo to 2 3/4 its current height. the photos current height is 3 1/4 inches. what should its enlarged height be in inches?
Answers
this a a joke...
haha goodbye
Answer:6 inches
Step-by-step explanation:
Find the product.
(5 – 3z)(5 + 3z) =
(Simplify your answer.)
Answers
Answer:
25 - 9(z)²
Step-by-step explanation:
Hope this helps :)
Use the information given to answer the question.
which two inequalities represent the constraints for the art studio classes
per week?
an art studio offers classes for painting and pottery. each painting class is 1
2+ y = 40
hour long. each pottery class is 1.5 hours long. the art studio is only open
0 2 +1.5y = 40
for classes a maximum of 40 hours per week, and only one class is offered at
o +1.5y > 40
35(2 + y) < 1,000
a time. each class costs $35,and the art studio earns a minimum of $1,000
35(x + y) > 1,000
per week from all classes. let be the number of painting classes offered per
calculator
week, and let y be the number of pottery classes offered per week.
Answers
The two inequalities that represents the constraints for the art studio classes per week are:
x + 1.5y = 40
35(x + y) > 1,000
What two inequalities represent the constraints?Here are inequalities signs and what they mean:
> means greater than
< means less than
≥ means greater than or equal to
≤ less than or equal to
= means equal to
The inequality that represents the total hoursthe art studio is open would be an equal to sign. This is because the store is open for a maximum of 40 hours.
The inequality that represents the total earnings would be represented with a greater than sign because the studio earns more than $1000 weekly.
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A giraffe runs at a rate of 32 miles per hour. Which equation models the situation?
h = time spent running, in hours
d = distance run in miles
32h = d
32d = h
h = 32 + d
h = 32 – d
Answers
Think also about the speed = distance / time equation
In this case rate basically means speed
Answer: 32h = d because when you rearrange you will get d/h = 32 where distance over hours = speed which in this case is 32 mph
Answer:
32h=d
Step-by-step explanation:
yea, this is big brain time lol
also edge lol
A bag contains 12 toffees. Kate eats 3 toffees and Josh eats 4 toffees.
What fraction of the toffees are left?
Answers
Answer:
5/12
Step-by-step explanation:
3 + 5 = 7
12/12 - 7/12 = 5/12
Answer:
total toffees=12
remaining toffees=12-(4+3)
=12-7
=5
fraction of toffees left
= 5/12
The price of a ring was increased by 9% to £1800. What was the price before the increase? Give your answer to the nearest penny.
Answers
Price before increase 1800-9%*1800
=1638