Multiply and combine like terms to determine the product of these polynomials (2x-3)(5x+6)
Answer:
10xsquared - 3x -18
Step-by-step explanation:
just multiply out and combine like terms
10xsqaured +12x -15x -18
= 10xsquared -3x -18
12 Rose and Haydn share £250 in the ratio 2:3
Rose gives all her share of the money to charity.
Haydn gives 42% of his share of the money to charity.
Rose gives more money to charity than Haydn gives to charity.
Work out how much more.
Answer:
Amount = £37
Step-by-step explanation:
Let Rose be represented by R.
Let Haydn be represented by H.
Given the following data;
Total amount = £250
Ratio of R:H = 2:3 = 2 + 3 = 5
To find how much Rose earned;
R = 2/5 * 250
R = 500/5
R = £100.
For Haydn;
H = 3/5 * 250
H = 750/5
H = £150
Next, we calculate the amount Haydn gave to charity;
Percent = 42% = 42/100 = 0.42
H = 0.42 * 150
H = £63
To find how much more Rose gave to charity than Haydn;
Amount = R - H
Amount = 100 - 63
Amount = £37
3. Given that a is 30% of b, find the value of a/4b
Answer:
a/4b = 0.075
Step-by-step explanation:
a = 30% of b
a = 30/100 × b
a = 0.3b
The value of a/4b is calculated as:
= 0.3b/4b
= 0.075
A scale drawing of a room is shown below. In the drawing, the room is 7 inches long and 5 inches wide. What is the actual area of the room?
75ft^2
37 1/2 ft^2
150 ft^2
50 ft^2
please help TvT
Answer:
the actual area of the room is 35 inches
Step-by-step explanation:
you have to multiply 7 by 5.
Help
Will
Give
Brainlist
Answer
Answer:
140 km
Step-by-step explanation:
according to scale on a map
1 m = 20 km
7 m = ?
7m = 20*7 km
=140 km
Find the trigonometric ratio. Write your answer as a fraction in the simplest form
Answer:
sinB = [tex]\frac{12}{13}[/tex]
Step-by-step explanation:
sinB = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{12}{13}[/tex]
The Trigonometric ratios is 12/13
What is Trigonometry?The branch of mathematics concerned with specific functions of angles and their application to calculations.
We have,
H= 13, B= 5 and P=12
So,
sin B= Perpendicular/ Hypotenuse
= 12/13
hence, sin B= 12/13
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solve (x-4)^2=5 pls help me
Answer:
square root of 5 - 4
Step-by-step explanation:
Answer:
square root of 5 +4
Please help me URGENT! No links
Answer:
find the coordinates and then do subtract the first one, for example for line segment AB, do (1,6) and (5,1)
(1,6) (5,1)
1-6 = -5
5-1 = 4
answer is -5/4 and that is the slope of the line.
Continue with the rest please like how i did the example
what is the value of x
2/3x -32=35
Answer:
To find the value of x we need to simplify this.
The steps to simplifying are simple.
We need to take away, add and do a lot to a bunch of stuff, until we receive our answer.
___________________________
Let's continue.
___________________________
Alright, let's go ahead and show our steps.
[tex]\mathrm{Multiply\:both\:sides\:by\:}3x-32[/tex]
[tex]\frac{2}{3x-32}\left(3x-32\right)=35\left(3x-32\right)[/tex]
_____________________
[tex]Simplify = \\2=35\left(3x-32\right)[/tex]
_____________________
[tex]\mathrm{Switch\:sides}\\35\left(3x-32\right)=2[/tex]
_____________________
[tex]\mathrm{Divide\:both\:sides\:by\:}35\\\frac{35\left(3x-32\right)}{35}=\frac{2}{35}[/tex]
_____________________
[tex]\mathrm{Simplify}\\3x-32=\frac{2}{35}[/tex]
_____________________
[tex]\mathrm{Divide\:both\:sides\:by\:}3\\\frac{3x}{3}=\frac{\frac{1122}{35}}{3}[/tex]
_____________________
[tex]Simplify = \\x=\frac{374}{35}[/tex]
_____________________
Therefore, the answer is x = 374/35
Lola's salary is $40,000 plus a 2% commission on all sales. The rate of change for her salary is a constant rate.
True
False
Answer:
False
Step-by-step explanation:
Which one could NOT be the probability of an event occuring?
A. 23
B. 3/4
C. 2.3
D. 0
Please help !!!
Answer:
D
Step-by-step explanation:
there is zero chance of it happening
Circumference of the circle with the radius 10mm? Use pi 3.14
Answer:
62.8 mm
Step-by-step explanation:
pie = 3.14
radius = 10 mm
circumference of a circle = 2πr
=2*3.14*10
=62.8 mm
PLEASE HELP, and dont forget to show work!
Given the linear equation 2x + y = 6, write another linear equation in two variables such that these two equations when represented geometrically form parallel lines.
Answer:
The family of lines that are parallel to [tex]2\cdot x + y = 6[/tex] is of the form [tex]2\cdot x + y = k, \,k\neq 6[/tex]. A possible solution is [tex]2\cdot x + y = -2[/tex].
Step-by-step explanation:
Let be [tex]2\cdot x + y = 6[/tex] the equation of a line, another line is parallel to it if and only if it is of the form:
[tex]2\cdot x + y = k, \,k\neq 6[/tex] (1)
Then, a possible solution is [tex]2\cdot x + y = -2[/tex].
What is the approximate circumference of a circle that has a diameter of 15 inches?
Answer:
[tex]{ \tt{circumference \approx\pi \: d}} \\ \approx{ \tt{3.14 \times 15}} \\ \\ \approx47.124 \: inches[/tex]
Is -14 greater than less than or equal to -3
Answer:
less than is the correct answer
PLSSS HELP!!!!!!!!! 20 POINTSSSSS!!!!!!!!!
In right ∆ABC the altitude CH to the hypotenuse AB intersects angle bisector
AL in point D. Find BC if AD = 8 cm and DH = 4 cm.PLS EXPLAIN SO THAT A CHILD CAN UNDERSTAND.
Add these mixed numbers 4 4/7+3 2/7
Answer:
50/7 or 7 1/7
Step-by-step explanation:
4. Un granjero tiene 57 puercos, que representan el 8 % del total de sus puercos. ¿Cuántos puercos tiene en total?
Answer:
713 puercos
Step-by-step explanation:
Sea T el número total de puercos
Número de cerdos = 57
Porcentaje = 8%
Para encontrar el número total de puercos;
Porcentaje = 8/100 * T = 57
8T/100 = 57
8T = 5700
T = 5700/8
T = 712,5 ≈ 713 puercos
Por lo tanto, el granjero tiene 713 puercos en total.
how do I solve this?
Answer: I cant see the problem
Step-by-step explanation:
Answer:
Where is the question?
Step-by-step explanation:
Which expression is the radical form of x^4/5?
Answer:
The picture is the answer
Step-by-step explanation:
I dont get the qustion
Answer:
1/2
Step-by-step explanation:
There are two possible outcomes when flipping a coin
heads or tails
P( tails) = number of favorable outcomes / total outcomes
= 1/2
Answer:
p is tails and its saying you flip a fair coin, meaning you have a 50 50 chance which means you have a 50% chance of getting heads and same with tails.
Step-by-step explanation:
therefore, p is 0.5
have a great day!!
In the triangle below, what is the sine of 60°?
site
60°
2
1
30°
13
ОА.
NI
O B. 2
O c. 1
D. VE
Answer:
[tex]{ \boxed{ \bf{formular : } \: { \tt{ \sin( \theta) = \frac{opposite}{hypotenuse} }}}} \\ \sin(60 \degree) = \frac{ \sqrt{3} }{2} \\ { \underline{ \blue{ \tt{ {beckerjnr}}}}}[/tex]
The value of expression sine of 60° is,
⇒ √3 / 2
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
Triangle is shown in image.
Now, We know that;
Sin x = Opposite / Hypotenuse
Hence, We get;
⇒ sin 60° = √3 / 2
Thus, The value of expression sine of 60° is,
⇒ √3 / 2
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PLS HELP WILL GIVE BRAINLIEST IF CORRECT♡
Rationalize the denominator of fraction with numerator square root of -36 and denominator the quantity of 2 minus 3i plus the quantity 3 plus 2i
Answer:
Here are the step require to divide complex numbers:
Step 1:To divide complex numbers, you must multiply by the conjugate. To find the conjugate of a complex number all you have to do is change the sign between the two terms in the denominator.Step 2:Distribute (or FOIL) in both the numerator and denominator to remove the parenthesis.Step 3:Simplify the powers of i, specifically remember that i2 = –1.Step 4:Combine like terms in both the numerator and denominator, that is, combine real numbers with real numbers and imaginary numbers with imaginary numbers.Step 5:Write you answer in the form a + bi.Step 6:Reduce your answer if you can.
Example 1 – Divide: 
Step 1: To divide complex numbers, you must multiply by the conjugate. To find the conjugate of a complex number all you have to do is change the sign between the two terms in the denominator.

Step 2: Distribute (or FOIL) in both the numerator and denominator to remove the parenthesis.

Step 3: Simplify the powers of i, specifically remember that i2 = –1.

Step 4: Combine like terms in both the numerator and denominator, that is, combine real numbers with real numbers and imaginary numbers with imaginary numbers.

Step 5: Write you answer in the form a + bi.

Step 6: Reduce your answer if you can. In this case you can’t reduce, so the final answer is:

Example 2 – Divide: 
Step 1: To divide complex numbers, you must multiply by the conjugate. To find the conjugate of a complex number all you have to do is change the sign between the two terms in the denominator.

Step 2: Distribute (or FOIL) in both the numerator and denominator to remove the parenthesis.

Step 3: Simplify the powers of i, specifically remember that i2 = –1.

Step 4: Combine like terms in both the numerator and denominator, that is, combine real numbers with real numbers and imaginary numbers with imaginary numbers.

Step 5: Write you answer in the form a + bi.

Step 6: Reduce your answer if you can. In this case you can reduce the answer, so the final answer is:

Click Here for Practice Problems
Example 3 - Divide: 
Step 1: To divide complex numbers, you must multiply by the conjugate. To find the conjugate of a complex number all you have to do is change the sign between the two terms in the denominator.

Step 2: Distribute (or FOIL) in both the numerator and denominator to remove the parenthesis.

Step 3: Simplify the powers of i, specifically remember that i2 = –1.

Step 4: Combine like terms in both the numerator and denominator, that is, combine real numbers with real numbers and imaginary numbers with imaginary numbers.

Step 5: Write you answer in the form a + bi.

Step 6: Reduce your answer if you can. In this case you can reduce the answer, so the final answer is:

Click Here for Practice Problems
Example 4 - Divide: 
Step 1: To divide complex numbers, you must multiply by the conjugate. To find the conjugate of a complex number all you have to do is change the sign between the two terms in the denominator.

Step 2: Distribute (or FOIL) in both the numerator and denominator to remove the parenthesis.

Step 3: Simplify the powers of i, specifically remember that i2 = –1.

Step 4: Combine like terms in both the numerator and denominator, that is, combine real numbers with real numbers and imaginary numbers with imaginary numbers.

Step 5: Write you answer in the form a + bi.

Step 6: Reduce your answer if you can. In this case you can reduce the answer, so the final answer is:

Evaluate expressions-
If x=3 what is the value of 8x+23?
A.47
B.93
C.208
D.61
Explanation:
We replace x with 3 and use PEMDAS to evaluate
8*x+23
8*3+23
24+23
47
Answer:
[tex]47[/tex]
Step-by-step explanation:
[tex]8x + 23[/tex]
[tex]8(3) + 23[/tex]
[tex]24 + 23[/tex]
[tex]47[/tex]
Hope it is helpful...Randip had a balance of $86 in her checking account. She made deposits of $34 and $15. She then made withdrawals for $17 and $30. How much money does Randip now have in her account
Answer:
$88
Step-by-step explanation:
Randip's balance = initial deposit + sum of deposits - sum of withdrawals
sum of deposits = $34 + $15 = $49
sum of withdrawals = $17 + $30 = $47
$86 + $49 - $47 = $88
Answer:
88
Step-by-step explanation:
GUYS HELP please i dont know what to answer
Answer:
2nd one : y = -4/x
3rd one : y + x/2 = 9
4th one
5th one : y = x^2
6th : 5.8x - y = 2.3
Step-by-step explanation:
Not sure about these. You might want to wait for another person to answer
Have a nice day!
what is the effect on the graph of f(x) if it is changed to f(x)+7, f(x+7) or 7f(x)
Answer:
it changed to f(x)+7 because it has an asymptote of 7
Which item on the diagram below of a circle, with center
0, represents a radius of the circle?
Answer:
The answer is DE
Step-by-step explanation:
I learned about it in school.
The radius of a circle with center O is DO. Therefore, option B is the correct answer.
Given that, a circle, with center O, represents a radius of the circle.
What is the circle?A circle is a two-dimensional figure formed by a set of points that are at a constant or at a fixed distance (radius) from a fixed point (center) on the plane. The fixed point is called the origin or center of the circle and the fixed distance of the points from the origin is called the radius.
Radius of a circle is the distance from the center of the circle to any point on it's circumference.
Here, DO and OC is the radius of a circle with center O.
The radius of a circle with center O is DO. Therefore, option B is the correct answer.
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A hose fills a small swimming pool at a rate of 15 cubic feet per 60 seconds. Which equation can be used
to find the amount of cubic feet, y, in x seconds?
Answer:
y = 1/4x
Step-by-step explanation:
y = amount of cubic feet = 15 cubic feet
x = time taken = 60 seconds
y = kx
Where,
k = constant of proportionality
y = kx
15 = k * 60
k = 15/60
k = 1/4
The equation
y = kx
Where
k = 1/4
Becomes,
y = 1/4x