Answer:
a) h = 15
b) x = 4
Step-by-step explanation:
a) set up a proportion:
5 = h
8 24
cross-multiply:
8h = 120
h = 15
b) x + 5 = x + 5 + 15
5x + 1 5x + 1 + 35
cross-multiply:
(x + 5)(5x + 36) = (5x + 1)(x + 20)
5[tex]x^{2}[/tex] + 61x + 180 = 5[tex]x^{2}[/tex] + 101x + 20
180 = 40x + 20
160 = 40x
x = 4
there is a ratio of 5 girls to 3 boys in the chorus.there are 24 boys in the chorus.how many girls are in chorus
Answer:
40
Step-by-step explanation:
3 x 8 = 24
5 x 8 = 40
help me yall like sis
Answer:
x= 10
Step-by-step explanation:
8x+30=110
8x+30-30=110-30
8x=80
8x/8=80/8
x=10
Answer:
x=10
Step-by-step explanation:
Vertical angles are always congruent, those to angles are vertical angles so they are congruent.
Set them equal to each other:
110=8x+30 subtract 30 from both sides
80=8x divide by 8 on both sides
x=10
Hope this helps :)
Simplify these rational expression. x^4+5x^3-2x^2+1/x^2+1
Answer:
-5x+4
Remainder: x^2+5x-3
Step-by-step explanation:
I hope this is helpful
Find the highest common factor of 55 and 605
Answer:
55
Step-by-step explanation:
Factors for 605: 1, 5, 11, 55, 121, and 605
Factors for 55: 1, 5, 11, and 55
So the highest common factor they have is 55.
HCF = 55
How do I estimate 0.509375
Answer:
round it to the nearest whole number.
Step-by-step explanation:
35-36. PLEASE HELP! I've bee stick on this problems and I've reposted it sooo many times but no one answered. If you answer both and leave an explanation I will mark you brainliest!
Answer:
1. Look at the screenshot below.
2. If a line intersects a parabola at a point, the coordinates of the intersection point must satisfy the equation of the line and the equation of the parabola.
Since the equation of the line is y = c, where c is a constant, the y-coordinate of the intersection point must be c.
It follows then that substituting c for y in the equation for the parabola will result in another true equation: c = −x^2 + 5x.
Subtracting c from both sides of c = −x^2 + 5x and then dividing both sides by −1 yields 0 = x^2 − 5x + c.
The solution to this quadratic equation would give the x-coordinate(s) of the point(s) of intersection.
Since it’s given that the line and parabola intersect at exactly one point, the equation 0 = x^2 − 5x + c has exactly one solution.
A quadratic equation in the form 0 = ax^2 + bx + c has exactly one solution when its discriminant b 2 − 4ac is equal to 0. In the equation 0 = x^2 − 5x + c, a = 1, b = −5, and c = c.
Therefore, (−5)^2 − 4(1)(c ) = 0, or 25 − 4c = 0.
Subtracting 25 from both sides of 25 − 4c = 0 and then dividing both sides by −4 yields c = 25/4 .
Therefore, if the line y = c intersects the parabola defined by y = −x^2 + 5x at exactly one point, then c = 25/4 .
Either 25/4 or 6.25
I need help with this question from edulastic please.
Answer:
i think it is the one you c
Step-by-step explanation:
Identify the imaginary part of this complex number:
(1)/(2)+(-7)/(2)i
Answer:
-7/2i
Step-by-step explanation:
The imaginary part of the complex number is -7/2.
What is complex form?A complex number can be expressed in the polar form in addition to the rectangular form. Complex numbers are typically expressed as z = x + iy, where 'i' is a fictitious integer. Complex numbers are described as a union of argument and modulus in polar form, however.
We know a complex form,
a + bi, where the coefficient of 'i' is the imaginary part and the rest of the part is a real part
So,
[tex]\frac{1}{2} + (\frac{-7}{2} )i[/tex]
Compared to the standard form,
-7/2 is the imaginary part.
Therefore, -7/2 is the imaginary part.
To learn more about the complex form;
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Please Help! I will give brainliest
Answer:
-6.3n + 8.6
Step-by-step explanation:
you add the terms together
Answer: -6.3n + 8.6
Step-by-step explanation:
2. How many solutions does the system have?
y = 2x - 5
y = 2x + 3
a. One solution
b. Two solutions
c. No solutions
d. Infinitely many solutions
Answer:
I think it is b or d I'm not sure though
Please help I need it fast thanks!
Answer:
B
Step-by-step explanation:
Solve:
1/3(2x-6/5)=4/9(x+1/3)
[tex] \frac{1}{3} .( \frac{2x - 6}{5} ) = \frac{4}{9} .( \frac{x + 1}{3} )[/tex]
[tex] \frac{2x - 6}{15} = \frac{4x + 4}{27} [/tex]
[tex]54x - 162 = 60x + 60[/tex]
[tex] - 222 = 6x[/tex]
[tex]x = - 37[/tex]
I guess it's right.We learnt this way in Turkey.
A una fiesta número de mujeres era 4 veces al número de hombres después de la llegada de 5 matrimonios el porcentaje de hombres en la fiesta pasó a ser deben 6% cuál es el número de mujeres después de la llegada de 5 matrimonios
After the arrival of 5 marriages, the total women will be 9.
What is a mathematical function, equation and expression?Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function
Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators
Equation : A mathematical equation is used to equate two expressions.
Given is that at a party the number of women was 4 times the number of men after the arrival of 5 marriages the percentage of men at the party became due 6%
Assume that the initial number of men are [x]. Then, the number of women will be y = 4x.
After the arrival of 5 marriages -
y + 5 = 4x + 5
and
x = 6% of y
x = (6/100) x y
x = (3/50)y
So, we can write -
y + 5 = (12/50) + 5
y = 12/50
So -
x = (12/50) x (50/3)
x = 4
After the arrival of 5 marriages, the total women will be -
x + 5 = 9
Therefore, after the arrival of 5 marriages, the total women will be 9.
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{Question in english language is -
At a party the number of women was 4 times the number of men after the arrival of 5 marriages the percentage of men at the party became due 6% what is the number of women after the arrival of 5 marriages}
what are the next 2 terms in the sequence
Answer:
4 1/4 and 4 3/4
Step-by-step explanation:
its adding 2/4 each time
Answer:
4.25 and 4.75
Step-by-step explanation:
just add 0.50
Help. I need help with these questions ( see image).
Please show workings.
9514 1404 393
Answer:
4) 6x
5) 2x +3
Step-by-step explanation:
We can work both these problems at once by finding an applicable rule.
[tex]\text{For $f(x)=ax^n$}\\\\\lim\limits_{h\to 0}\dfrac{f(x+h)-f(x)}{h}=\lim\limits_{h\to 0}\dfrac{a(x+h)^n-ax^n}{h}\\\\=\lim\limits_{h\to 0}\dfrac{ax^n+anx^{n-1}h+O(h^2)-ax^n}{h}=\boxed{anx^{n-1}}[/tex]
where O(h²) is the series of terms involving h² and higher powers. When divided by h, each term has h as a multiplier, so the series sums to zero when h approaches zero. Of course, if n < 2, there are no O(h²) terms in the expansion, so that can be ignored.
This can be referred to as the power rule.
Note that for the quadratic f(x) = ax^2 +bx +c, the limit of the sum is the sum of the limits, so this applies to the terms individually:
lim[h→0](f(x+h)-f(x))/h = 2ax +b
__
4. The gradient of 3x^2 is 3(2)x^(2-1) = 6x.
5. The gradient of x^2 +3x +1 is 2x +3.
__
If you need to "show work" for these problems individually, use the appropriate values for 'a' and 'n' in the above derivation of the power rule.
So can someone just help me solve this and tell me which terms belong together....ty-
Kareem cannot decide which of two washing machines to buy. The selling price of each is $440. The first is marked down by 30%. The second is marked down by 20% with an additional 10% off. Find the sale price of each washing machine. Use pencil and paper. Explain why Kareem should buy the first washing machine rather than the second if the machines are the same except for the selling price.
Step-by-step explanation:
The selling price is $495.
The first washing machine:
- is marked down by 30%
$495 - 100%
$x - 100% - 30% = 70%
Find the value of x:
x=$495*0.7=$346.50=$347
The second washing machine:
- is marked down by 20% with an additional 10% off
$495 - 100%
$y - 100% - 20% = 80%
Find y:
Y=$495*0.8=$396
Now,
$396 - 100%
$z - 100% - 10% = 90%
Find z:
Z=$396*0.9=$356.40=$356
the sale price of the first washing machine is $347 and the sale price of the second washing machine is $356. The second machine is more expensive.
Answer:
The sale price of the first washing machine is $308
The sale price of the second washing machine is $317
In five games of bowling. Gabes combined score was 380. Find his score per game. Round to the nearest tenth of a cent when necessary
HELP PLEASE
heeeeeeeeeeelp pleaseeeeeeeeeeee
Answer
<2 = <4 = <6 = <8
All of those are 94 degrees
<1 = <3 = <5 + <7
All of those are 86 degrees
Hope this helps :D
A 13 sided figure has how many
total degrees in its interior angles?
9514 1404 393
Answer:
1980°
Step-by-step explanation:
The formula for the sum of interior angles of an n-gon is ...
angle sum = 180°(n -2)
For n=13, the angle sum is ...
angle sum = 180°(13 -2) = 180°×11
angle sum = 1980°
WHAT IS 7/3 OF 6093?????????
Answer:
14217
Step-by-step explanation:
(7÷3)×6093=
14217
-2x + 6y - X+5+ 2x - 4y -6
Answer:
2y-x-1
Step-by-step explanation:
use zero property
(-2x. +2x) =0
=6y-x+5-4y-6
collect like terms
6y-4y=2y
=2y-x+5-6
calculate the difference
+5-6=-1
=2y-x-1
good day :)
Solve the following multi-step equation: 4(2 - 4x) - 3x = 65
Answer:
x = -3
Step-by-step explanation:
4(2 - 4x) - 3x = 65
Distribute the 4.
8 - 16x - 3x = 65
Combine like terms.
8 - 19x = 65
-19x = 57
Divide by -19 to isolate x.
x = 57/-19
x = -3
Check.
4(2 - 4(-3)) - 3(-3) = 65
4(2 - (-12) + 9 = 65
4(14) + 9 = 65
56 + 9 = 65
65 = 65
The solution of the given linear equation 4(2 - 4x) - 3x = 65 is -3.
Two algebraic expressions separated by an equal symbol in between them and with the same value of the expression are called equations.
Example = 2x +4 = 12
here, 4 and 12 are constants and x is variable.
The solution of the equation 4(2 - 4x) - 3x = 65 is calculated as:
4(2 - 4x) - 3x = 65
Multiply the expressions inside the brackets,
8 - 16x -3x = 65
8 - 19x = 65
Subtract 8 from both the sides,
-19x = 65- 8
-19x = 53
Divide both side by -19
[tex]x = \dfrac{-53}{19}[/tex]
Thus, the value of x is -3.
Learn more about equations here:
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LONG ANSWER TYPE QUESTIONS
11. Sara borrowed 60,000 from a money lender at 15% rate of interest per annum. What is
the interest she paid after 4 years?
Which is greater, 20% or 0.02?
Answer:
20% is greater
Step-by-step explanation:
0.02 is only 2%
Answer:
20%
Step-by-step explanation:
to change .02 into a percent, you move the decimal over twice or multiply it by 100. leaving it to be 2%
find the greatest common factor of the number 12
Answer:
4 is the greatest common factor of 12
If I got 562 on my 7th grade Math Diagnostic then what grade level am I?
Answer:
7th grade, I think
I looked it up but I am not 100% sure
Suppose y varies directly with x. Write an equation if y = 4 when x = 0.4.
You earn 4x+12 points after completing x levels of a Vedio game and then lose 2x-5 points. Write an expression that represents the total number of points you have now
HELP PLEASE
Which equation can you use to find the value of x?
Answer:
3x=78+x-2
Step-by-step explanation:
Answer: 3x = 78 + x - 2
Step-by-step explanation: