Answer:
a=35,b=49,c=-14
Step-by-step explanation:
[tex]\frac{a}{-5} =\frac{b}{-7} =\frac{c}{2} =r(say)\\a=-5r,b=-7r,c=2r\\a-b+c=-5r+7r+2r=4r=-28\\r=\frac{-28}{4}=-7\\a=-5 \times -7=35\\b=-7 \times -7=49\\c=2 \times -7=-14[/tex]
Please solve this question 3(n+4)=5n?
Answer:
6=n
Step-by-step explanation:
Hi there!
We are given this equation:
3(n+4)=5n
And we need to solve it for n
To do that, we need to isolate n on one side
But we need to open up the parentheses on the left side by doing the distributive property
Multiply both n and 4 by 3
3n+12=5n
Now subtract 3n from both sides to remove it from the left side
12=2n
Divide both sides by 2 to change the coefficient on n from 2 to 1
6=n
n is now isolated on one side
Hope this helps!
Answer:
n=6
Step-by-step explanation:
Using the distributive property, we distribute 3 to n and 4. In case if you don't know what that means, it means we multiply 3 to the variables inside the parentheses. So we get (3×n)+(3×4)=5n, and we simplify it so we get 3n+12=5n. Now, we can subtract 3n from both sides and get 12=2n, and divide 2 from both sides and get n=6.
PLEASE HELP WILL MARK BRAINLIEST!
Answer:
a. 125 degrees
b. 62 degrees
c. 58 degrees
d. 130 degrees
Step-by-step explanation:
I assume these are the inner angles of the polygons.
remember, for a polygon with n sides we can fully split it into n-2 triangles without overlap.
each of these triangles has an angle sum of 180 degrees.
to get the total inner angle sum of the polygon, we need to multiply 180 by (n-2) (= the number of triangles).
out of that total we can then calculate the size of the missing angle.
a. 6 sides, therefore 4 triangles
4×180 = 720 degrees
the missing angle is
angle = 720 - 88 - 152 - 125 - 105 - 125 = 125
b. 5 sides, 3 triangles
3×180 = 540 degrees
angle = 540 - 109 - 111 - 140 - 118 = 62
c. 4 sides, 2 triangles
2×180 = 360
angle = 360 - 60 - 142 - 100 = 58
d. 7 sides, 5 triangles
5×180 = 900
angle = 900 - 90 - 120 - 140 - 150 - 120 - 150 = 130
which algebraic expression represents this word description?
the product of two and the difference between eleven and a number
a. 2(11-x)
b. 11-2x
c. 2x-11
d. 2(x-11)
Step-by-step explanation:
c. 2x-11 this is the answer
hope this helps you
have a nice day:)
Can someone please help me out with a small explanation thank you :)
Step-by-step explanation:
1 . when we collect like terms we only focus on the variables and the power of the variable I f exist so in this question the answer is 8x^2 because both have the same variable and same power or exponent.
2. one term is monomial
two terms is binomial
3. b
4. -9
5. c
Can someone help me out, please? Its really important
Answer:
3x^4+8x^3+9x^2+2x
Ah(t)
1800-
A ball is dropped from a height of 1296 ft. Its height h,
in feet, after t seconds is given by h(t) = 1296 - 1612.
After how long will the ball reach the ground?
0 0
1296
0-
0
12
The ball will reach the ground in seconds.
(Type an integer or a simplified fraction.)
i need help A S A P!
Answer:
ewfwefwfewfwfwe
Step-by-step explanation:
Good evening, I would need some help on this exercise.
Paul takes advantage of the sales to buy pants for € 29.50 which initially cost € 5 more. He also buys a € 17 T-shirt on which he is entitled to a 25% discount at the cash desk. What percentage of the total amount of his purchases did he save by purchasing these items during the sales?
thank you
Answer:
He Saved 18.664%
Step-by-step explanation:
Well first we need to find the total of the original price of the items he got
then we can solve for how much (in percentage) he saved
We know the original price of the pant as € 34.50 because 5+29.50=34.50
Now lets find out the original price of the shirt
The shirt's original price can be found by using this equation
x * .75 = 17
17/ .75 = x
22.67 = x
Now since we know the prices of these two items lets add them together
34.50 + 22.67 = 57.17
He actually spent
29.50 + 17 = 46.5
Now what percentage of 57.17 is 46.5?
We can use 46.5/57.17 = 0.81336
.81336 *100 = 81.336%
100-81.336 = 18.664
18.664% was saved
one morning sam cycles 5km in 20 mins and Dwight cycles 6km in 30mins Determain who cycles faster. Show your work
Answer:
5 + 20 + 6
Step-by-step explanation:
that's how you get
Please help, explain too and I will give brainliest :)
Answer:
c
Step-by-step explanation:
Answer:
C. 37 degrees
Step-by-step explanation:
27, 36, 45 is just a larger 3, 4, 5 triangle. The smallest angle is across from the smallest side. With those in mind, we have 37, 53, and 90 degrees as the angles for a 3, 4, 5 triangle. We pair the 27, (the three when we reduce) with the smallest angle, the 37.
I'm sure you can do it with an actual formula, but i can't recall. Cheers
Hellllllllp plsss!! Due in very soon maths
Answer: 23, 27,29
Those im absolutely positive about.
Im not sure abt the rest
Step-by-step explanation:
Find the volume
Help me please
Answer:
54piecm^3
Step-by-step explanation:
pie x radius ^2 x h
= v
pie x 9
= 9pie x 6
= 54pie
Mrs. Ella bought something's bought 3 lb of apples. The price is $2.49 per pound. How much did she pay for the three pounds of apples ?
Answer:
$7.47
Step-by-step explanation:
Take the number of pounds and multiply by the price per pound
3 * 2.49
7.47 for 3 pounds of apples
Answer:
7.49
Step-by-step explanation:
Given: 3 pounds, and 2.49 for each pound
Multiply:
2.49 × 3
₁ ₂
2.49
× 3
----------
7. 47
Mrs. Ella bought 3 pounds of apples for $7.49
Question 2 (1 point)
Match each situation to a linear system below.
A child has a piggy bank full
of $1 and $2 coins totalling
$37.
There are 25 more $1 coins
than there are $2 coins.
1. x + 2y = 37
x - y = 25
An exam that is worth 37
marks contains 25
questions.
The questions are either
worth 1 mark or 2 marks.
2. x + 2y = 37
x + y = 25
18
3. x - 2y = 37
x + y = 25
The sum of two numbers is
25.
The first number is 37 more
than 2 times the second
number
Answer:
See answers below
Step-by-step explanation:
For the expression
The sum of two numbers is 25. The first number is 37 more than 2 times the second number
Let the two numbers be x and y
If the sum is 25, then;
x + y = 25 .... 1
37 more than 2 times the second the number is expressed as;
37+2y
If the first number is 37 more than 2 times the second number, then;
x = 37 + 2y
x - 2y = 37 ...2
This shows that the simultaneous equation that fits the expressions are;
x - 2y = 37
x + y = 25
For the expression
A child has a piggy bank full of $1 and $2 coins totaling $37. There are 25 more $1 coins than there are $2 coins.
Let x be the $1 coins
Let y be the $2 coins
If a child has a piggy bank full of $1 and $2 coins totaling $37, then;
x + 2y = 37 ... 1
Also, if there are 25 more $1 coins than there are $2 coins, then;
x = 25 + y
x - y = 25 ...2
The equivalent expressions for the statement will be;
x + 2y = 37
x - y = 25
This hence leaves us with the last;
An exam that is worth 37 marks contain 25 questions. The questions are either worth 1 mark or 2 marks. The resulting simultaneous equation will be;
x + 2y = 37
x + y = 25
In English auction, an item is auctioned. People increase bids in increments of $10, and the player giving the highest bid gets the item for that amount of money. Give reasons why the auctioneer would be considered a player of the game, or reasons why he or she would not. Does the game contain random moves
Find the measure of the indicated angle to the nearest degree
Answer: x=31°
Step-by-step explanation:
To find the missing angle, we need to use SOHCAHTOA. We can eliminate sine and tangent because we aren't given the opposite side. Therefore, we use cosine.
[tex]cos(x)=\frac{48}{56}[/tex] [use inverse cosine]
[tex]x=cos^{-1}(\frac{48}{56})[/tex]
[tex]x=31[/tex]
Now, we know x=31°.
Solve 7x + 1 < 4(x - 2).
A. {x | x > 3}
B. {x | x > -3}
C. {x | x < -3}
D. {x | x < 3}
Given:- 7x + 1 < 4(x - 2)
Solving It:-7x + 1 < 4(x - 2)
7x + 1 < 4x - 8
7x - 4x < -8 -1
3x < -9
x < -9/3
x < -3
So Correct Solution Set Will BeC. {x | x < -3}Hope This Helps YouMario invested $6,000 in an account that pays 5% annual interest compounded annually. Using the formula A = P(1 + r)t, what is the approximate value of the account after 2.5 years?
Answer:
$6778.36
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Compounded Interest Rate Formula: [tex]\displaystyle A = P(1 + \frac{r}{n})^{nt}[/tex]
P is principle amountr is raten is compounded ratet is timeStep-by-step explanation:
Step 1: Define
Identify variables
P = 6000
r = 5% = 0.05
n = 1
t = 2.5
Step 2: Find Interest
Substitute in variables [Compounded Interest Rate Formula]: [tex]\displaystyle A = 6000(1 + \frac{0.05}{1})^{1 \cdot 2.5}[/tex]Simplify: [tex]\displaystyle A = 6000(1.05)^{2.5}[/tex]Evaluate: [tex]\displaystyle A = 6778.36[/tex]Work out the circumference of this circle 7.5
Answer:
47.12
Step-by-step explanation:
C=2πr=2·π·7.5≈47.12389
What must be a factor of the polynomial function f(x) graphed on the coordinate plane below?
x – 4
x – 2
x + 2
x + 4
Please help me with this
Answer:
1/6 for white and 1/2 for black
Step-by-step explanation:
My knowledge!
Hope it helps!
Answer:
4/15
Step-by-step explanation:
There are 6 white+4black = 10 marbles in the bag
P (white) = white marbles / total marbles = 6/10 = 3/5
We keep the marble
There are 5 white+4black = 9 marbles in the bag
P (black) = black/total = 4/9
P(white, black no replacement) = 3/5 * 4/9 = 3/9 *4/5 = 1/3*4/5 = 4/15
Explain how to solve 4^(x+3)=7 using the change of base formula log_by=log y/ log b. Round to the nearest thousandth
Answer:
x = -1.59
Step-by-step explanation:
We are here given a equation and we need to solve out for x. The given equation is ,
[tex]\sf\longrightarrow 4^{( x +3)}= 7[/tex]
Take log to the base " e " on both sides , so that we can remove the variable from the exponent .
[tex]\sf\longrightarrow log_e 4^{x+3}= log_e 7[/tex]
Simplify using the property of log , [tex]\sf log a^m = m log a [/tex] , we have ,
[tex]\sf\longrightarrow (x + 3) ln 4 = ln 7 [/tex]
Distribute by opening the brackets ,
[tex]\sf\longrightarrow x ln 4 + 3 ln 4 = ln 7[/tex]
This can be written as ,
[tex]\sf\longrightarrow x ln 4 = ln 7 - 3ln4 [/tex]
Divide both sides by ln 4 ,
[tex]\sf\longrightarrow x = \dfrac{ ln7}{ln 4 } - \dfrac{ 3ln4}{ln4} [/tex]
Simplify ,
[tex]\sf\longrightarrow x = \dfrac{ ln4 }{ln7 } -3[/tex]
On simplifying , we will get ,
[tex]\sf\longrightarrow \boxed{\blue{\sf x = -1.59 }}[/tex]
PLEASE HELP URGENTLY!!
Answer:
x = 69
Step-by-step explanation:
since AB is parallel to CD we can find the value of y with the following equation :
2y - 40 = 66 add 40 to both sides
2y = 110 divide both sides by 2
y = 55
from supplementary angles, we know that the exterior angle's measure is 124
since the sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle
y + x = 124 we found value of y earlier
55 + x = 124 subtract 55 from both sides
x = 69
PLEASE HELP!!!
Select the correct answer.
Which function has an average rate of change of -4 over the interval [-2, 2]?
Answer:
D.
Step-by-step explanation:
Find the average rate of change of each given function over the interval [-2, 2]]:
✔️ Average rate of change of m(x) over [-2, 2]:
Average rate of change = [tex] \frac{m(b) - m(a)}{b - a} [/tex]
Where,
a = -2, m(a) = -12
b = 2, m(b) = 4
Plug in the values into the equation
Average rate of change = [tex] \frac{4 - (-12)}{2 - (-2)} [/tex]
= [tex] \frac{16}{4} [/tex]
Average rate of change = 4
✔️ Average rate of change of n(x) over [-2, 2]:
Average rate of change = [tex] \frac{n(b) - n(a)}{b - a} [/tex]
Where,
a = -2, n(a) = -6
b = 2, n(b) = 6
Plug in the values into the equation
Average rate of change = [tex] \frac{6 - (-6)}{2 - (-2)} [/tex]
= [tex] \frac{12}{4} [/tex]
Average rate of change = 3
✔️ Average rate of change of q(x) over [-2, 2]:
Average rate of change = [tex] \frac{q(b) - q(a)}{b - a} [/tex]
Where,
a = -2, q(a) = -4
b = 2, q(b) = -12
Plug in the values into the equation
Average rate of change = [tex] \frac{-12 - (-4)}{2 - (-2)} [/tex]
= [tex] \frac{-8}{4} [/tex]
Average rate of change = -2
✔️ Average rate of change of p(x) over [-2, 2]:
Average rate of change = [tex] \frac{p(b) - p(a)}{b - a} [/tex]
Where,
a = -2, p(a) = 12
b = 2, p(b) = -4
Plug in the values into the equation
Average rate of change = [tex] \frac{-4 - 12}{2 - (-2)} [/tex]
= [tex] \frac{-16}{4} [/tex]
Average rate of change = -4
The answer is D. Only p(x) has an average rate of change of -4 over [-2, 2]
Answer:
see photo
Step-by-step explanation:
Plato/Edmentum
Last month, Margo bought a tree that grows 2.5 each day. It was 5cm tall when she bought it and now it is 65cm tall. How many days has Margo owned the plant?
Answer:
2.6
Step-by-step explanation:
2.5÷65=2.6
Sameera purchased 3 (1/2) kg of apples and 4 (3/4) kg of oranges. What is the total weight of fruits purchased by her ?
Answer:
8 1/4 kg
Step-by-step explanation:
Add the weight of the fruits together
3 1/2 + 4 3/4
Get a common denominator of 4
3 2/4 + 4 3/4
7 5/4
7 4/4 + 1/4
8 1/4 kg
what would be the u to usub and what would be the steps to solving this integral?
Presumably, ln⁵(x) is the same as (ln(x))⁵ (as opposed to a quintuply-nested logarithm, log(log(log(log(log(x)))))).
Then substituting u = ln(x) and du = dx/x gives
[tex]\displaystyle\int\frac{\mathrm dx}{x\ln^5(x)} = \int\frac{\mathrm du}{u^5} = -\frac1{4u^4}+C = \boxed{-\frac1{4\ln^4(x)}+C}[/tex]
What is the standard form of the ellipse equation
25x2 - 150x + 9y2 = 0?
O
(x - 3)2
32
y
1
+
52
0 (x - 5)
1
y2
22
(y - 3)2
22
0x2
+
14
1
O
x2
32
(y - 3)2
22
= 1
Answer: The correct answer is in the first option.
Step-by-step explanation:
Equation of an Ellipse
[tex]\dfrac{x^{2} }{a^{2} } +\dfrac{y^{2} }{b^{2} } =1\\\\25x^{2} - 150x + 9y^{2} = 0\\\\\text {Let's \: perform \: the \: transformations:}\\\\\dfrac{25x^{2} }{25 \cdot 9} -\dfrac{150x}{25 \cdot 9} +\dfrac{9y^{2} }{25 \cdot 9} =0\\\\\dfrac{x^{2} }{3^{2} } -\dfrac{6x}{3^{2} } +\dfrac{y^{2} }{5^{2} } =0\\\\\dfrac{x^{2} -6x}{3^{2} } +\dfrac{y^{2} }{5^{2} } +\dfrac{3^{2} }{3^{2} } -\dfrac{3^{2} }{3^{2} } =0\\\\\dfrac{x^{2} -6x+3^{2} }{3^{2} } +\dfrac{y^{2} }{5^{2} } =\dfrac{3^{2} }{3^{2} }[/tex]
[tex]\dfrac{(x-3)^{2} }{3^{2} } +\dfrac{y^{2} }{5^{2} } =1[/tex]
I don’t understand what A is trying to ask please could someone help me? Thank you!
You have the right idea. You'll apply a y-axis reflection to go from above the x axis to below it. This allows us to move the red line into the correct vertical position without having to use a vertical translation.
Afterward, you'll shift the red line 4 units to the right to have it line up perfectly with the blue line.
Going from f(x) to -f(x) is the y-axis reflection part
Going from -f(x) to -f(x-4) will shift the line 4 units to the right.
Answer: g(x) = -f(x-4)Can Anyone please tell me How to Multiply 18√2×18√2...
Please show steps aslo..
Answer:
648
Step-by-step explanation:
18√2×18√2= (18√2)²
= (18)²×(√2)²
= 324×2
= 648