Answer:
3 + 4 = 7 which is true.
Step-by-step explanation:
Whenever you have an equation with a plain variable (that is, no exponent included), there is only one number that will work when substituted for x.
To solve it, you have to "undo" what is done to the variable. You also go in the reverse order of operations, so you do the addition/subtract first, then multiplication/division.
You also have to do the same to both sides, kind of like keeping a balance scale in balance.
In this case, we subtract 4 from both sides first:
3x + 4 -4 = 7 - 4
The + 4 - 4 cancel each other out, so you get:
3x = 3
3x means "3 times x" so you divide by 3 to undo it. I will use the / to indicate division:
3x / 3 = 3 /3
so 1x = 1.
Since 1x is "1 times x" it is the same as x by itself, so:
x=1
AND, if we substitute 1 back into the original equation (the asterisk stands for multiply):
3 * 1 + 4 = 7
3 * 1 is 3, so:
3 + 4 = 7 which is true.
1 is the only number that works.
Hope this helped.
The admission fee at a museum is $5 for children and $16 for adults. Yesterday, 800 people came to the museum and $8400 was collected. How many children and how many adults came to the museum?
Simplify.
3/4−4x+1/2x−1/2+1/2x
Enter your answer in the box.
Answer:
3(1−10x)43(1-10x)4
Step-by-step explanation:
34−4x+12x−212x34-4x+12x-212x
Simplify each term.
Combine 1212 and xx.
34−4x+x2−212x34-4x+x2-212x
Multiply the numerator by the reciprocal of the denominator.
34−4x+x2−(2(2x))34-4x+x2-(2(2x))
Multiply 22 by 22.
34−4x+x2−(4x)34-4x+x2-(4x)
Multiply 44 by −1-1.
34−4x+x2−4x34-4x+x2-4x
Find the common denominator.
Write −4x-4x as a fraction with denominator 11.
34+−4x1+x2−4x34+-4x1+x2-4x
Multiply −4x1-4x1 by 4444.
34+−4x1⋅44+x2−4x34+-4x1⋅44+x2-4x
Multiply −4x1-4x1 and 4444.
34+
Answer:
-3x + ¼
Step-by-step explanation:
Follow Me Please ...
Timothy is sorting his building blocks into 8 bins. Each bin can hold 286 blocks. He has already put 74 blocks in the bins. How many more blocks does Timothy need to sort?
Answer: 2214 blocks
Step-by-step explanation:
From the question, we are told that Timothy is sorting his building blocks into 8 bins and that each bin can hold 286 blocks. Therefore, the total blocks that the bins would hold would be:
= 286 × 8
= 2288 blocks.
We are further told that he has already put 74 blocks in the bins. The number of remaining blocks that Timothy need to sort would be:
= 2288 - 74
= 2214 blocks
Name the additive identity of (-10+4i)
An additive identity for i, denoted e, is an element in i such that for any element i in i, e + i = i = i + e. Example: The formula is i + 0 = i = 0 + i.
The additive identity of (-10+4i) is (0+0i).
What is additive identity?Additive identity property states that when a number is added to zero will give the same number in result . “Zero” is called the identity element, If we add any complex number with zero, the resulting number will be the same complex number. It doesn't change the number and keeps its identity.
For the given situation,
The complex number is (-10+4i)
The general form of complex number is a+bi. The additive identity for complex number is 0+0i.
⇒ [tex](-10+4i)+(0+0i)=(-10+4i)[/tex]
Hence we can conclude that (0+0i) is the additive identity of (-10+4i).
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Grace has two part time jobs. At one job, she works
as a cashier and makes $8 per hour. At the second
job, she works as a tutor and makes $12 per hour.
One week she worked 6 hours and made $56. Which
of the following systems could be used to find the
number of hours she worked at each job?
Answer: the correct answer is number one
Step-by-step explanation:
y=-3x+6 and y=5x-2 for y
Answer:
The first one is x=2 and the second one is x=2/5 or 0.4
Step-by-step explanation:
Find gradient of y=x^2-4x+6 at (3,3)
[tex]y=x^2-4x+6\\y'=2x-4[/tex]
To find the slope/gradient of the curve at the specific point, we use the derivative.
Then substitute x = 3 in y' = 2x-4
[tex]y'=2(3)-4\\y'=6-4\\y'=2[/tex]
Therefore, the slope/gradient of y = x²-4x+6 at (3,3) is 2.
need help!! i don't understand angles :((
Answer:
Step-by-step explanation:
t find the angle 1
135-75=60
choice 3
Answer:
the answer is 60
Step-by-step explanation:
you just subtract 75 from 135
Can someone Help me I'm Stuck on these three Questions
Z+(-7)=-8
13=Z+18
12=T+3
Explain your answer
Thanks For the Help:)
Answer:
1.) z = -1
2.) z = -5
3.) t = 9
Step-by-step explanation:
z + (-7) = -8
=> add 7 to both sides
z = -1
13 = z + 18
=> subtract 18 from both sides
-5 = z
12 = t + 3
=> subtract 3 from both sides
9 = t
Please help me I’m so desperate I need help please help me with questions 3,4 and 5 please
Answer:
The answer to number 3 is -2.
The answer to number 4 is 30,340 feet.
The answer to number 5 is 7 and -3.
Step-by-step explanation:
So much work, take it and go, lol.
Hope this helped! :)
A company owns two dealerships, both of which sells cars and motorcycles. The first dealer sells a total of 214 cars and motorcycles the second dealership sells twice as many cars in half as many motorcycles as first dealership and sells a total of 239 cars and motorcycles
Answer:
294 cars
Step-by-step explanation:
hope this helpt touch thanks it my birth day
PLEASE ANSWER FAST:
Zoey and her children went into a grocery store where they sell apples for $2 each and bananas for $0.50 each. Zoey has $8 to spend and must buy a minimum of 7 apples and bananas altogether. If x represents the number of apples purchased and y represents the number of bananas purchased, write and solve a system of inequalities graphically and determine one possible solution.
Answer:
(2,7)
Step-by-step explanation:
Variable Definitions:
x=
x=
\,\,\text{the number of apples}
the number of apples
y=
y=
\,\,\text{the number of bananas}
the number of bananas
\text{\textquotedblleft a minimum of 7 items"}\rightarrow \text{7 or more items}
“a minimum of 7 items"→7 or more items
Use a \ge≥ symbol
Therefore the total number of apples and bananas, x+yx+y, must be greater than or equal to 7:7:
x+y\ge 7
x+y≥7
\text{\textquotedblleft \$8 to spend"}\rightarrow \text{can spend \$8 or less}
“$8 to spend"→can spend $8 or less
Use a \le≤ symbol
One apple costs $2, so xx apples cost 2x.2x. One banana costs $0.50, so yy bananas cost 0.50y.0.50y. The total 2x+0.50y2x+0.50y must be less than or equal to \$8:$8:
2x+0.50y\le 8
2x+0.50y≤8
\text{Solve each inequality for }y\text{:}
Solve each inequality for y:
\begin{aligned}x+y\ge 7\hspace{30px}& 2x+0.50y\le 8 \\[0.8em] y\ge 7-x \hspace{30px}& 0.50y\le 8-2x \\[0.8em] \hspace{30px}& y\le \frac{8-2x}{0.50} \\[0.8em] & y\le 16-4x\end{aligned}
x+y≥7
y≥7−x
2x+0.50y≤8
0.50y≤8−2x
y≤
0.50
8−2x
y≤16−4x
Graph y\ge 7-xy≥7−x by shading up and graph y\le 16-4xy≤16−4x by shading down:
0
the number of apples
the number of bananas
x
y
0
the number of apples
the number of bananas
(2, 7)
Since the point (2, 7(2,7) is inside the double shaded region, one possible solution to the system of inequalities would be:
Zoey could buy 2 apples and 7 bananas.
WILL MARK YOU BRAINLIEST ANSWER 7,10&11 plz
Answer:7)r=3,UW=48
Step-by-step explanation:7) as◇UVX IS Congruent to◇WVX,
UX=WX
5r+9=8r
r=3
10)as ◇ AML is congruent to ◇ AMN,
< AML=< AMN
so,A is a bisector of < LMN
PLEASE HELP, WILL MARK BRAINLIESTTTTTT!! (one answer is cut out the last answer is •2x-1•
Answer:
x+1 x+4 2x +1
are th answer
Solve for x:
3x – 2 (5 – x) = 30
Answer:
x = 8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
3x - 2(5 - x) = 30
Step 2: Solve for x
Distribute -2: 3x - 10 + 2x = 30Combine like terms: 5x - 10 = 30Isolate x term: 5x = 40Isolate x: x = 8Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 3(8) - 2(5 - 8) = 30Multiply: 24 - 2(5 - 8) = 30Subtract: 24 - 2(-3) = 30Multiply: 24 + 6 = 30Add: 30 = 30Here we see that 30 does indeed equal 30.
∴ x = 8 is the solution to the equation.
(5-2)2 + 4•2 need help
Answer:
14 is the answer to this question
Step-by-step explanation:
10-4+8
6+8
14
Answer:
14
Step-by-step explanation:
Find a vector that has the same magnitude as v.
v=lineAB with A=(4,0) and B=(7,4)
[A] t
[B] u
[C] w
[D] r
Each Purse Contains 8 Coins. Find A rule to give the total number of coins in 'n' purses.
Answer:
8n
Step-by-step explanation:
Data berikut ialah suhu yang dicatat untuk 5 hari.
The following data are the temperatures recorded for 5 days.
25°C, 27°C, 34°C, 28°C, 29°C
Hitungkan min. / Calculate the min
Jawapan / Answer:
[tex] \frac{25 + 2 7 + 34 + 28 + 29}{5} [/tex]
[tex]119.8[/tex]
Select the correct answer.
Which image shows the correct position of on the number line?
A.
A
B.
B
C.
C
D.
D
Answer:
i think A,B,C
Step-by-step explanation:
Answer:
yeah ABC
Step-by-step explanation:
i wrong this is bs if im wromg
Find the measure of the numbered angle.
m∠1 =
Answer:
∠1 = 50°Step-by-step explanation:
right triangle.
∠1 = 180 - 90 - 40
∠1 = 50°
si una porcion es de 228 gramos cuantos gramos contiene el producto
Answer: 456 gramos.
Step-by-step explanation:
Con una busqueda online, encontré que la imagen relacionada con este problema es la que se ve abajo.
En ella podemos ver que el envase del producto trae dos porciones.
Entonces, si una porción tiene 228 gramos, dos porciones son:
2*228 g = 456 gramos.
Y el envase tiene dos porciones, entonces el envase tiene 456 gramos.
A sphere and a cylinder have the same radius and height. The volume of the cylinder is 11 ft.
hl
Which equation gives the volume of the sphere?
V-011)
2
Answer:
length times width times height
Step-by-step explanation:
The equation for the volume of the sphere is:
V(sphere) = (4/3)πr³
What is a cylinder?A cylinder is a 3-D figure that has a radius and a height.
The volume of a cylinder is given as πr²h.
Example:
The volume of a cup with a height of 5 cm and a radius of 2 cm is
Volume.
= 3.14 x 2 x 2 x 5
= 62.8 cm³
here,
We have,
If a sphere and a cylinder have the same radius and height, the volume of the cylinder is given by:
V(cylinder) = πr²h
where "r" is the radius of the cylinder, and "h" is the height of the cylinder.
If we know that the volume of the cylinder is 11 ft³, then we can write:
11 = πr²h
We can solve this equation for "h" to get:
h = 11 / (πr²)
Now, the volume of a sphere with radius "r" is given by:
V(sphere) = (4/3)πr³
Substituting the expression for "h" in terms of "r" into the volume formula for the cylinder, we get:
11 = πr²(11 / (πr²))
Simplifying this equation, we get:
11 = 11
This is an identity, which means that it is true for all values of "r".
Therefore, we can substitute any value of "r" into the formula for the volume of the sphere to get the volume of the sphere with the same radius as the cylinder.
Using the formula for the volume of a sphere, we get:
V(sphere) = (4/3)πr³
Thus,
The equation for the volume of the sphere is:
V(sphere) = (4/3)πr³
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Perpendicular lines are two coplanar lines that intersect to form what type of angle?
Answer:
Perpendicular Line Theorems
Step-by-step explanation:
If two lines intersect to form a linear pair of congruent angles, then the lines are perpendicular. If two sides of two adjacent angles are perpendicular, then the angles are complementary. If two lines are perpendicular, then they intersect to form four right angles.
Solve the formula for the specified variable.
d = bx for b
Answer:
d/x
Step-by-step explanation:
[tex]d=bx\\\frac{d}{x} =b[/tex]
At the grocery store ,8 oranges cost $4 what is the cost for 9 oranges ?
Answer:
$4.50
Step-by-step explanation:
First step is to find the price per orange. You can do this by dividing total cost by oranges bought. See below.
[tex]4 \div 8 \\ = .50[/tex]
Now to find the amount of 9 oranges, you'd multiply price per orange by the specified amount needed (so 9)
[tex]9 \times .50 \\ = 4.50[/tex]
plsssss pplssss helpppp
Answer:
Hold on i have to work it out real quick
Step-by-step explanation:
Will give brainliest, Please explain how you got your answer!
Write an equivalent expression.
(x + 7) + 3y
Hi. please i need help with this question. No jokes.
Answer:
[tex]a \: = \frac{4}{3} \\ b = - \frac{10}{3} \\ c = 4[/tex]
Which of the following graphs represents a relation that is not a function?
Answer:
Even though you only uploader one pic I think that is the answer
Because that is a Zero slope wich means it has no function that would be the anser
Step-by-step explanation: