Step-by-step explanation:
x = price per video game
y = price per CD
164 = 5x + 3y
and then we know
x = y + 12
now we can use this as substitute in the first equation :
164 = 5(y + 12) + 3y = 5y + 60 + 3y = 8y + 60
104 = 8y
y = $13
x = y + 12 = 13 + 12 = $25
so, each CD costs $13.
85% of 540 = 30% of C
Answer:
C = 1530
Step-by-step explanation:
85% of 540 = 30% of C
0.85 * 540 = 0.3 * C
459/0.3 = 0.3C/0.3
C = 1530
Answer:
c = 1530
Step-by-step explanation:
First, convert the percentages to a decimal.
[tex]85\div100=0.85\\30\div100=0.30[/tex]
In decimal form, percentages are a fraction of 1. 0 is 0%, 0.5 is 50%, and 1 is 100%.
With that, you can write this equation:
[tex]0.85\times540=0.3\times c[/tex]
Now, just solve for c:
[tex]0.3c=0.85\times540\\0.3c=459\\c=1530[/tex]
To confirm that:
[tex]0.85\times540=0.30*1530\\459=459[/tex]
I need help please! It’s due tonight and I don’t know.
Answer:
i think the first question is yes and the second one is no
Step-by-step explanation:
write 28 + 24 as a product of two factors using the greatest common factor and the distributive property
Answer:
4 * 13
Step-by-step explanation:
Okay, so we have to use the distributive property to solve this. We know 28 and 24 have a common factor of 4. If we factor a 4 out of 28 + 24, then we get 4 * (7 + 6). Adding 7 + 6, we get 13. Therefore, we get 4 * 13.
Which of the following forms a Pythagorean triplet?
a)3, 4, 6 b) 5, 12, 13 c) 6, 7, 14 d) 8, 6, 16
(hey kid can you answer fast)
NO USELESS THINGS OR WRONG ANSWERS FOR I WILL REPORT YOU.
Answer:
b)
Step-by-step explanation:
i hope this help you
Which equation has the same solution as x^2+16x+13 = 0
A) (x+8) ^2 = -77
B) (x-8) ^2 = 51
C) (x-8) ^2 = -77
D) (x+8) ^2 = 51
[tex]x^2 +16x +13 =0\\\\\implies x^2 + 2 \cdot 8 \cdot x + 8^2 -8^2 +13 =0\\\\\implies (x+8)^2 -64 +13 =0\\\\\implies (x+8)^2 -51 =0\\\\\implies (x+8)^2 =51[/tex]
[tex] {i}^{3} find \:value \: in \: complex \: number \: [/tex]
help me please reply with quickly
Could anyone help? I’ve watched the videos but they’ve confused me even more
Answer:
for a) you have to draw the graph of y = x - 1 for values from 0 to 7 so you need to make the table in the picture:(see the attached picture) now draw it using the coordinates from the table
but for b) I don't know I tried something but it didn't work.
For the sequence −9, −3, 3, 9, 15, ... write the recursive formula. a(1) = __, a(n) = a(n-1) + d *
Answer:
the answer to the question is online if you
If 5mi ≈ 8km, how many miles would be equal to 50 km
Answer:
Too tired to go into detail so I just showed steps
Step-by-step explanation:
5mi = 8km ~~ Original
5/8mi = 1km ~~ Get 1km isolated
250/8mi = 50km ~~ Get 50km now
Leaks can write a 500 word essay in an hour. If she writes an essay in 10 minutes, about how many words do you think the essay contains. PLEASE TELL ME HOW TOU DID IT! WILL MARK BRAINLIEST
Answer:
83.3
Step-by-step explanation:
Alright so
She can write 500 words per hour
An hour is 60 minutes
500 divided by 6 (because 6x10= 60)
so you get est. 83 words per 10 mins.
To double check, do 83x6= 498, which is because the 83, is 83.3 (repeating)
6 * 2 /( -1)4* 5-(8+3)
Answer:
−251
Step-by-step explanation:
Answer:
6 x 2 / (-1) x 5 - (8 + 3)
6 x 2 / (-1) x 5 - 11
12 / -1 x 5 - 11
-12 x 5 -11
-60 - 11
-71
Step-by-step explanation:
hope this helped if not then i am sorry good luck
Find the value of X in the following 3x+4=25
The answer is 7
Step-by-step explanation:
subtract 4 from 25 which is 21 than divide by 3 getting x =7
Answer:
x=7
Step-by-step explanation:
3x+4=25
3x=25–4
3x=21
X=21÷3
X=7
HELP pleaseeeeeeeeee
Answer:
Or is separate
And is together
Can somebody please help me and tell me how did you get the answer please thank you!!!
Answer:
10
Step-by-step explanation:
(6x-5)+(12x+5)=180
18x=180
x=10
Can someone pls help me with this
Answer:
were is the qn?
Step-by-step explanation:
1/2(12w+8)-1/8(10w-5) This confuses me very much pls help
Answer:
3 8 + 3 7 divided by 8
Step-by-step explanation:
does the equation have roots? if yes, find them.
x^2=32
Answer:
[tex]x=\pm 4\sqrt2[/tex]
Step-by-step explanation:
Left hand side is a positive number. Right hand side is positive. The equation should have real roots. (worst case, the root would be complex, but let's not open that can of worm)
Let's start noticing that [tex]32 = 2^5 =4^2\cdot 2[/tex] and then take the square root of both sides, remembering that we need to take a plus or minus sign ( both a and -a squared give the same result!)
[tex]x= \pm \sqrt{4^2\cdot2}=\pm 4\sqrt2[/tex]
the perimeter of an equilateral triangle is 14.4 cm. Find out the length of the side of that triangle in decimal fraction
Answer:
Side length = 4.80 cm
Step-by-step explanation:
Given the perimeter of an equilateral triangle, 14.4 cm:
An equilateral triangle has three congruent sides.
Since a triangle has three sides, and the sum of those sides represent the perimeter. We can assume that each side of the triangle represents a third (⅓) of the perimeter.Perimeter of an equilateral triangle = side + side + side = 3(side)
Perimeter = 14.4 cm
[tex]\displaystyle\mathsf{side=\frac{14.4\:cm}{3}=4.80\:cm}[/tex]
Therefore, the length of each side of an equilateral triangle is: 4.80 cm.
Guided Practice
Write the equation of the parabola in vertex form. The vertex is (−3, 3) and the parabola passes through the point (4, 150). Create a rough sketch of the graph to use as a visual aid.
A.
y = 3(x + 3)^2 + 3
B.
y = 4(x − 3)^2 + 3
C.
y = 50(x + 3)^2 + 4
D.
y = 3(x − 3)^2 + 3
Answer:
A.
y = 3(x + 3)^2 + 3
Step-by-step explanation:
The vertex form of the equation is y=a(x-h)2 + k
You know that the vertex (h,k) is (-3,3) and a point on the parabola is (4,150). So what you’re needed ing to find is a bc all of the other letters can be replaced into the equation.
First I would put the equation into vertex form using the vertex given in the problem. : y= (x - (-3))2 + (3). Then I would use the ordered pair (4,150) and replace the x and y with those values
150 = a(4 + 3)2 + 3
Now simplify
150 = a (7)2 + 3
150 = 49a + 3 Important: please be sure to square.
147 = 49a
3= a
Next replace a into the formula now leaving x and y alone.
y = 3 (x+3)2 + 3 [Vertex form]
I hope this helps. Have a great day!
Answer:
A. [tex]y = 3(x + 3)^2 +3[/tex]
Step-by-step explanation:
The vertex form is:
[tex]y = a(x - h)^2 + k[/tex]
Where [tex]a[/tex] is the variable that determinate if the parabola is facing up or facing down and [tex]h[/tex] is the [tex]x[/tex] coordinate of the vertex and [tex]k[/tex] is the [tex]y[/tex] coordinate of the vertex.
So with the given values we have:
[tex]150 = a(4 + 3)^2 + 3[/tex]
Then isolate [tex]a[/tex] for find the missing value.
[tex]147 = a49\\\frac{147}{49} = a\\3 = a[/tex]
Then the final answer is [tex]y = 3(x + 3)^2 +3[/tex]
hidden valley motel 32 feet long
Suppose that the functions u and w are defined as follows.
u(x) =
=-x-1
w(x) = 2x² +1
Find the following.
Step-by-step explanation:
(a○b)(x) is the same as a(b(x)).
it is really that simple.
first you calculate the result of the inner function, and then that result is the input for the outer function.
that's it.
so,
(w○u)(2) = w(u(2))
u(2) = -2 -1 = -3
w(-3) = 2×(-3)² + 1 = 2×9 + 1 = 19
so, 19 is the first answer.
(u○w)(2) = u(w(2))
w(2) = 2×2² + 1 = 2×4 + 1 = 9
u(9) = -9 - 1 = -10
so, -10 is the second answer.
simplify 2 by 3 multiply by 2 plus 3 1 by 3
Step-by-step explanation:
[tex] \\ \frac{2}{3} \times 2 +3 \frac{1}{3} [/tex]
[tex] \\ = \frac{4}{3} + 3 \frac{1}{3} [/tex]
[tex] \\ = \frac{4}{3} + \frac{10}{3} [/tex]
[tex] \\ = \frac{4 + 10}{3} [/tex]
[tex] \\ = \frac{14}{3} [/tex]
[tex] \\ = 4\frac{2}{3} \: \: or \: \: 4.67[/tex]
What is the slope of this equation and Y intercept.
Y= 3/5x + 6
Answer:
the y-intercept is 6 the slope is 3 / 5
Step-by-step explanation:
slope-6
y-intercept-3/5
Answer:
M = [tex]\frac{3}{5}[/tex]
Step-by-step explanation:
Use the slope-intercept form y = mx + b to find the slope m.
.
Which of the following expresses (2.4 on going) as a fraction in simplest form?
2 and 1/4th
2 and 2/5ths
2 and 11/25ths
2 and 4/9ths
Answer:
2 and 4/9ths
Step-by-step explanation:
2 ⁴/9 is equal to 2.4 constant
the total of this is 297197401415÷842035
Answer:
Approximately 352,951.36
Answer:
Step-by-step explanation:
= 297197401415+842035
= 297198243450
=297197401415/842035
=352951.363
every summand of an expression is called a???
Answer:
I think it's called a term.
Hope this helps :)
Which expression is equivalent to the following complex fraction?
1
1
2
o
x-1
2x
架
0
2
2x-2
O
X
0
2x
X-1
Answer:(1-(1/x))/2
Step-by-step explanation:
(1-(1/x))/2
We can multiply both sides by x:
Top: x(1-(1/x)) = (x - 1)
Bottom: 2x
(1-(1/x))/2
Bob eats 1/3 of a watermelon one day and 3/8 of it the next day.
a) which day did bob ate more watermelon, first or second?
b) Find the fraction of the watermelon that remains.
Answer:
A) Second, as 3/8 is larger than 1/3.
B) 7/24
Step-by-step explanation:
3/8 put as a decimal is 0.375. 1/3 is 0.3333 which means that 3/8 is greater than 1/3.
9/24 is another way to write 3/8. 8/24 is another way to write 1/3. 9 + 8 is 17. 17/24 has been eaten. Therefore, 7/24 remains.
Suppose a candy bar weighs ounces. How much does a pack of bars weigh?
Answer: it ways ounces?????????????
Step-by-step explanation:
Solve the system by substitution
y=-8x -24
y=-4x
Answer: 8
Step-by-step explanation:
plug y into the first equation:
8x+5y=24
8x+5(-4x)=24
8x-20x=24
-12x=24
x=-24/12
x=-2
then plug x to the second equation
y=-4
y=-4(-2)
y=8
x=-2
y=8
Answer:
(- 6, 24 )
Step-by-step explanation:
y = - 8x - 24 → (1)
y = - 4x → (2)
Substitute y = - 4x into (1)
- 4x = - 8x - 24 ( add 8x to both sides )
4x = - 24 ( divide both sides by 4 )
x = - 6
Substitute x = - 6 into either of the 2 equations and evaluate for y
Substituting into (2)
y = - 4(- 6) = 24
solution is (- 6, 24 )