Answers
Answer:
hope it help you.........
Answer:
[tex]\boxed {\boxed {\sf y= -1.2 }}[/tex]
Step-by-step explanation:
We are asked to solve the following equation for y.
[tex]-2y-4.2= 1.8 + 3y[/tex]
To solve for y, we have to isolate the variable by performing the inverse operations. First, move all the terms without a variable or the constants to one side, and the terms with a variable to the other side.
4.2 is being subtracted and the inverse operation of subtraction is addition. Add 4.2 to both sides.
[tex]-2y-4.2 +4.2= 1.8 + 3y+ 4.2[/tex]
[tex]-2y=1.8 + 4.2 + 3y[/tex]
[tex]-2y= 6 + 3y[/tex]
3y is being added and the inverse operation of addition is subtraction. Subtract 3y from both sides.
[tex]-2y-3y= 6+ 3y -3y[/tex]
[tex]-2y-3y= 6[/tex]
[tex]-5y=6[/tex]
y is being multiplied by -5. The inverse operation of multiplication is division. Divide both sides by -5.
[tex]\frac {-5y}{-5}= \frac{6}{-5}[/tex]
[tex]y=- 1.2[/tex]
Check the answer by substituting -1.2 back into the original equation.
[tex]-2 (-1.2)-4.2 = 1.8 + 3(-1.2)[/tex]
[tex]2.4-4.2=1.8 + - 3.6[/tex]
[tex]-1.8 = -1.8[/tex]
This checks out, so we know our answer is correct.
Related Questions
Algebra!! In the triangle to the below, the measure of ∠A equals the measure of ∠B. Find the value of x.
Answers
Answer:
x=21
Step-by-step explanation:
45=2x+3
Subtract 3 from both sides of the equation.
42=2x
Divide 2 from both sides of the equation.
21=x
Hope this helps!
Answer:
x=21°
Step-by-step explanation:
Angle A = Angle B
Angle A = 45°
2x+3 =45°
To work out what x is, you would have to do inverse operations.
45-3=42°
2x=42°
42÷2=21° (We divide by 2 because, in algebra, whenever a number is next to a letter, it means times, so then we have to do the opposite and divide).
So, x=21°
Hope this helps :)
The length of a rectangular field is 6 metres longer than its width. If the area of the field is 72 square metres, What are the width and the length of the field?
Answers
Answer:
Let's call the length of the field "l", and the width of the field "w".
If the area of the field is 72 square meters, then we have:
l x w = 72
And if the length is 6 meters longer than the width, we have:
l = w+6
So looking at the first equation (l x w = 72), we can substitute the l for a w+6.
And we obtain:
(w+6) x (w) = 72
Which simplifies to w^2 + 6w = 72.
This quadratic equation is pretty easy to solve, you just need to factor it.
w^2 + 6w - 72 = 0
(w-6)(w+12)
This leaves the roots of the quadratic equation to be 6 and -12, but in this case, a width of -12 wouldn't make sense.
So, the width of the rectangular field is 6, and the length of the field is 12.
Let me know if this helps!
Answer:
we assume one side is x and other side must be x+6 and when we multiple it together we can find x²+6x =72
Step-by-step explanation:
one side is 6 and. other is 12 so the lenght= 12 the width=6
What is a negative rational number times a positive integer?
A) A negative integer
B) A positive rational number
C) A negative rational number
D) An irrational number
Answers
Answer:
C
Step-by-step explanation:
The product of a negative rational number and a positive integer is a negative rational number
Answer: C (A Negative Rational Number)
Step-by-step explanation
A Negative number mutiplied by a positive number is a negative number.
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16. Choose the wrong statement: a) Every natural number is a whole number. b) Every integer is a rational number. c) Every rational number is an integer. d) Every rational number is a real number.
Answers
Answer:
C
Step-by-step explanation:
YES
I need help on this question pls
Answers
56/64 = 7/8
7/8 x 120
105.
The volume of a prism is the product of its height and area of its base, V = Bh. A rectangular prism has a volume of 16y4 + 16y3 + 48y2 cubic units. Which could be the base area and height of the prism?
a base area of 4y square units and height of 4y2 + 4y + 12 units
a base area of 8y2 square units and height of y2 + 2y + 4 units
a base area of 12y square units and height of 4y2 + 4y + 36 units
a base area of 16y2 square units and height of y2 + y + 3 units
Answers
Answer: 4. A base area of 16y^2 square units and height of y^2 + y + 3 units
Step-by-step explanation:
Using the distributive property; you can see that 16y^2(y^2+y+3)=
16y^4+16y^3+48y^2
Answer:
D. a base area of 16y2 square units and height of y^2 + y + 3 units
Step-by-step explanation:
Ed22
First get the gcf of 16x³ + 250 which is 2 then divide it which has the result of 8x³ + 125 then get the square root of 8x³ and 125
Answers
Consider the function ƒ(x) = x2. Which of the following functions shifts ƒ(x) downward 5 units and to the right 3 units?
A)
ƒ(x) = (x – 5)2 – 3
B)
ƒ(x) = (x – 3)2 – 5
C)
ƒ(x) = (x + 3)2 – 5
D)
ƒ(x) = (x – 5)2 + 3
Answers
Answer:
B
Step-by-step explanation:
f(x)=(x+3)2 3 units to the left
f(x)=(x-3)2 3 units to the right
f(x)=(x)2+5 upward 5 units
f(x)=(x)2-5 downward 5 units
95°
6rº + 47°
r_ degrees
Answers
Answer:
r = 8°
Step-by-step explanation:
95° = 6r° + 47° ( vertically opposite angles are equal)
6r° = 95° - 47°
6r = 48°
r = 48°/6
r = 8°
Answer: r = 8
Step-by-step explanation:
The angles a VOA vertically opposite angles which means they are congurent and equal
6r + 47 = 95
6r = 95 - 47
6r = 48
r = 48/6
r = 8
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PLEASE HELP!!!
What is the overlap of Data Set 1 and Data Set 2?
A.) high
B.) moderate
C.) low
D.) none
Answers
Step-by-step explanation:
Step by step explanation, The answer is C
Tameeka tells Marcus, "When you add 16 to my mystery number then subtract 20, you get the same result as when you add my mystery number to itself, then add 20 and subtract 16.” What is Tameeka’s mystery number?
Write and solve an equation to represent this situation.
Answers
Answer:
-8.
Step-by-step explanation:
x + 16 - 20 = 2x + 20 - 16
x - 4 = 2x + 4
x - 2x = 4 + 4
-x = 8
x = -8.
The mystery number 'm' that satisfies the stated conditions is - 8.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Let, The mystery number be 'm'.
So, When you add 16 to my mystery number then subtract 20,
m + 16 - 20,
you get the same result as when you add my mystery number to itself, then add 20 and subtract 16,
m + m + 20 - 16.
Therefore,
m + 16 - 20 = m + m + 20 - 16
m - 4 = 2m + 4.
- m = 8.
m = - 8.
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adhiambo buys t litres of milk everyday.A litre of milk is she 25.She spends sh 3000 on milk on November.How many litres does she buy every day?
Answers
100/25=4
So she buys 4 L of milk every day.
So t=4.
please help me T-T.......
Answers
Hi
1) f(x)= 0.9 x
2) g(x) = x-100
3) f °g. is first apply g then f. so :
f°g = 0.9 ( x-100) = 0.9x-90
4) g°f. is first apply f then g
so g°f = (0.9x) -100 = 0.9x-100
I let you conclude which is the best deal :)
PLEASE ANSWER FAST
The solution set x s2 or x> 4 is consistent with an equation of the form
Answers
Answer:
yes
Step-by-step explanation:
it is not correct I think
Deion is saving up to buy a new phone. He already has $95 and can save an additional $7 per week using money from his after school job. How much total money would Deion have after 6 weeks of saving? Also, write an expression that represents the amount of money Deion would have saved in w weeks.
Answers
$95 + 7 x 6= 137
The expression that represents the amount of money Deion would have saved in w weeks is 95 + 7w and the total savings after 6 weeks will be $137.
What is an expression?A statement expressing the equality of two mathematical expressions is known as an equation.
A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
An expression is a mathematical proof of the equality of two mathematical expressions.
As per the given,
Initial fixed money = $95
Per week saving $7/week
Total money = fixed money + money in w weeks.
⇒ 95 + 7w
For 6 weeks, w = 6
⇒ 95 + 7× 6 = $137.
Hence "The expression that represents the amount of money Deion would have saved in w weeks is 95 + 7w and the total savings after 6 weeks will be $137".
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can i please get an answer for this and a vivid explanation of how to solve it please. WILL MARK AS BRAINLIEST!
Answers
Answer:
[tex]9a^3b^3[/tex]
Step-by-step explanation:
Use ratios to convert each measurement.
1. 3 yards = _____ feet
2. _____ cups= 5 gallons
3. 72 inches =_____ yards
4. ______ ounces = 5 pounds
5. ______ inches =7 feet
6. 24 feet = _____ yards
7. 40 pints = ______ gallons
8. 16 cups = ______ quarts and
9. ________ inches = 4 yards
10. 48 ounces = ________ Pounds
Answers
Answer:
1. 3 yards= 9 feet
2. 78 cups=5 gallons
3. 72 inches = 2 yards
4. 80 ounces = 5 pounds
5. 84 inches = 7 feet
6. 24 feet = 8 yards
7. 40 pints = 5 gallons
8. 16 cups = 5 quarts
9. 144 inches = 4 yard
10. 48 ounces = 3 pounds
please help you can answer it by saying something like option 3 or option 2 that would be ok
Answers
Answer:
maby option 5
Step-by-step explanation:
Use the table and the graph to answer the questions.
Function 1
x
2
3
y
3
5
7
Function 2
Graph
A graph shows numbers negative 5 to 5 on both the x-axis and the y-axis, in equal intervals of 1. A straight line goes through the points negative 1 comma 0 and 0 comma 4.
What is the rate of change for each function? Show your work.
Which function has the greater rate of change?
Answers
Answer:
55774210778899900000
When a shape is dilated, the _________ of the lengths in the image to the corresponding lengths in the pre-image are equal to the scale factor.
A. ratios
B. lengths
C. scale factors
D. proportions
Answers
Sitting on a park bench, you see a swing that is 100 feet away and a slide that
is 60 feet away. The angle between them is 30°.
distance between the swing and the slide?
What is the approximate
Answers
Answer:
50
Step-by-step explanation:
Answer:
The approximate between the swing and slide is 56.21 feet.
Step-by-step explanation:
richu and Deepu two students of a Vidyalaya contribute to charity the contribution of richu is 3/5 of the contribution of Deepu write a linear equation according to the above statement and draw the graph
Answers
Explanation:
Which number line represents the solutions to Ix - 5= 1?
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
+
-7 -6 -5 -4 -3 -2 -1 0
1
2
3 4 5 6 7
-7 -6 -5 -4 -3 -2 -1 0 1 2
3 4 5 6 7
o
-7 -6 -5 -4 -3 -2 -1 0 1
3
4 5 6 7
N
Answers
The number line that represents the solutions to Ix - 5| = 1 is the number line in the second option.
To solve absolute value equations like |x-5| = 1
We will write that
x - 5 = 1 and x -5 = -1
For the first equation
x - 5 = 1
Add 5 to both sides
x - 5 +5 = 1+5
∴ x = 6
For the second equation
x -5 = -1
Add 5 to both sides as well
x -5 +5 = -1 +5
∴ x = 4
Hence, x = 6 and x = 4
From the image, the second option is dotted (blue) at 4 and 6 on the number line.
Hence, the number line that represents the solutions to Ix - 5| = 1 is the number line in the second option
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super easy question, will mark brainliest if the answer is correct
a water container is 1/8 full. 35 litres if water are now poured into the container. The container is now 3/4 full.
When the container is full, how much water does it hold?
Answers
Answer:
56 litres
Step-by-step explanation:
let x be the amount when the container is full.
1/8x + 35 = 3/4x
-5/8x = -35
x = 56
I can't figure this out, please help! I'll give a brainliest
Answers
Answer:
u can use pythagoras or sine rule
Step-by-step explanation:
cos-1(9/11)
please help, will give brainliest!!!
Answers
Answer:
Find the domain by finding where the equation is defined.
Interval Notation:
(−∞,−4)∪(−4,7)∪(7,∞)
Set-Builder Notation:
{x|x≠−4,7}
Step-by-step explanation:
Answer:
all real numbers except x=-4 or x = 7
Step-by-step explanation:
The domain is the numbers that x can take
We have restrictions for this problem
the denominator cannot be zero
x^2 -3x-28 cannot be zero
(x-7)(x+4) ≠ 0
x-7≠0 x+4≠0
x≠7 x≠-4
Otherwise all real numbers are valid
What is the value of the expression 3y−z
y+5z
when y = 6 and z = 2?
Answers
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\text{Question \#1}[/tex]
[tex]\huge\textsf{3y - z}[/tex]
[tex]\huge\textsf{= 3(6) - 2}[/tex]
[tex]\huge\textsf{= 18 - 2}[/tex]
[tex]\huge\textsf{= 16}[/tex]
[tex]\boxed{\boxed{\huge\textsf{Answer: 16}}}\huge\checkmark[/tex]
[tex]\huge\text{Question \#2}[/tex]
[tex]\huge\textsf{y + 5z}[/tex]
[tex]\huge\textsf{= 6 + 5(2)}[/tex]
[tex]\huge\textsf{= 6 + 10}[/tex]
[tex]\huge\textsf{= 16}[/tex]
[tex]\boxed{\boxed{\huge\textsf{Answer: 16}}}\huge\checkmark[/tex]
[tex]\huge\textsf{\boxed{\star\underline{\underline{16 = 16}}\star}\star}[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
1. Write an algebraic expression for the following word phrase: the quotient of r and 12. (1 point)
Or. 12
Or+12
Or-12
Or- 12
Answers
The answer is Or + 12
Find the value of
x for which ABCD
must be a
parallelogram.
6
54
3
27
Answers
Answer:
3
Step-by-step explanation:
As it's a parallelogram the cross splits each diagonal exactly in half, so each half is the same:
-9-6x = x-30
7x=21
x=3
What would your position on the circle (cos q, sin q) be after rotating 72degrees from the point (1,0)?
A=(.97, .25)
B=(.31, .95)
C=(.95, .31)
D=(.25, .97)
Answers
Answer:
B=(.31, .95)
Step-by-step explanation:
When your at the point (1,0) you are at 0 degrees (cos 0, sen 0) = (1,0).
So at 72 degrees you moved 72 degrees (cos 72, sin 72) = (.31, .95)
