Answer:
x = 28, y = 14Step-by-step explanation:
Use the property of 30°-60°-90° right triangle.
The ratio of sides:
a : b : c = 1 : √3 : 2Compare with the given:
y : 14√3 : x = 1 : √3 : 2y = 14√3 / √3 = 14x = 2*14 = 28Apply the property of 30-90-60 angle
a:b:c=1:√3:2So
y=14√3/√3=14x=2(y)=2(14)=28solve -3.5 = 0.5x +0.5x+x
Answer:
x= 7/4 =1.750
Step-by-step explanation:
3x is a ____ of 3x^2 - 6x^3.
Answer:
[tex]\boxed{factor}[/tex]
Step-by-step explanation:
Hey there!
3x * x = 3x^2
3x * 2x = 6x^3
So 3x is a factor of 3x^2 - 6x^3.
Hope this helps :)
PLEASE HELP, WILL GIVE BRAINLIEST IF CORRECT!!!! (08.06 MC) Mike and his friends bought cheese wafers for $2 per packet and chocolate wafers for $1 per packet at a carnival. They spent a total of $25 to buy a total of 20 packets of wafers of the two varieties. Part A: Write a system of equations that can be solved to find the number of packets of cheese wafers and the number of packets of chocolate wafers that Mike and his friends bought at the carnival. Define the variables used in the equations. (5 points) Part B: How many packets of chocolate wafers and cheese wafers did they buy? Explain how you got the answer and why you selected a particular method to get the answer. (5 points)
Answer:
x = 5 , y = 15
Step-by-step explanation:
You can solve this using substitution.
Let the quantity of cheese wafers be denoted by x and the quantity of chocolate wafers denoted by y
2x + 1y = 25
x + y = 20
These two equations are the answer to part A, (remember to include the above prompt which says what x and y denote).
For part B I used substitution because it was more applicable to the question then addition or elimination.
ACTUAL WORK
Set 2x + 1y = 25 equal to x
x = 25 - y / 2
Replace x with y in the second equation
(25 - y / 2) + y = 20
And solve for y
y = 15
Since we know what y is we can replace y in the second equation and find what x is
x + 15 = 20
Solve for x
x = 5
Answer:
5 Cheese Wafers and 15 Chocolate Wafers
Step-by-step explanation:
solve for w.
-9/7=-2/3w-1/2
Answer: [tex]w=\frac{33}{28}[/tex]
Step-by-step explanation:
To solve for w, we want to isolate w.
[tex]-\frac{9}{7}=-\frac{2}{3}w-\frac{1}{2}[/tex] [add both sides by 1/2]
[tex]-\frac{11}{14}=-\frac{2}{3}w[/tex] [multiply both sides by -3/2]
[tex]w=\frac{33}{28}[/tex]
Now we know that [tex]w=\frac{33}{28}[/tex].
Answer:
[tex]\sf w=\dfrac{33}{28} \\[/tex]
Step-by-step explanation:
[tex]\sf -\dfrac{9}{7} =-\dfrac{2w}{3} -\dfrac{1}{2}[/tex]
First, take -2w/3 to the left side.
[tex]\sf -\dfrac{9}{7}+\dfrac{2w}{3} = -\dfrac{1}{2}[/tex]
Then, add 9/7 to both sides.
[tex]\sf \dfrac{2w}{3} = -\dfrac{1}{2}+\dfrac{9}{7}[/tex]
Make the denominators the same and add the fractions.
[tex]\sf \dfrac{2w}{3} = -\dfrac{1*7}{2*7}+\dfrac{9*2}{7*2}\\\\\sf \dfrac{2w}{3} = -\dfrac{7}{14}+\dfrac{18}{14}\\\\\sf \dfrac{2w}{3} = \dfrac{-7+18}{14}\\\\\sf \dfrac{2w}{3} = \dfrac{11}{14}[/tex]
Use cross multiplication.
[tex]\sf 2w*14=11*3\\\\28w=33[/tex]
Divide both sides by 28.
[tex]\sf w=\dfrac{33}{28} \\[/tex]
If a+8√5b = (8+√5)÷(8-√5) + (8-√5)÷(8+√5)
Answer:
3 or at least i think
Step-by-step explanation:
Answer:
a= 138/59 - 8√5b B=69√5/1180 - a√5/40
Step-by-step explanation:
yuh
pi = c/d solve for d?
Answer:
[tex]d=\displaystyle\frac{C}{\pi}[/tex]
Step-by-step explanation:
Hi there!
[tex]\pi =\displaystyle\frac{C}{d}[/tex]
Multiply each side by d:
[tex]d\pi =\displaystyle\frac{C}{d}*d\\\\d\pi=C[/tex]
Divide both sides by π:
[tex]d=\displaystyle\frac{C}{\pi}[/tex]
I hope this helps!
ncert maths class 10 solution 5.1 4
Can you attach a picture to your question?
I would love to help you out.
Answer:
Step-by-step explanation:
NCERT Solutions for Class 10 Maths Chapter 5 Arithmetic Progressions Ex 5.1
where is question ??
Latanya buys 5 yard of blue fabric and 8 yards of green fabric. the blue fabric cost $2 dollars more than the green fabric.she pays a total of $ 62. what would be the combined cost of 1 yard of blue fabric and one yard of green fabric?
Answer: $10
Step-by-step explanation:
let x = the price of green fabric, then x+2 = blue fabric price
8x+5(x+2)=62
8x+5x+10=62
13x+10=62
13x=52
x=4
price of green fabric=$4
price of blue fabric=$6
4+6=$10
How do you graph y=2/3x-4
━━━━━━━☆☆━━━━━━━
▹ Answer
You can use a graphing calculator.
▹ Step-by-Step Explanation
Attached is a screenshot.
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
Answer:
See explanation and picture attached
Step-by-step explanation:
We can break down this expression into it's core components:
Since the constant here is -4, the y intercept is -4.
Since the value we are multiplying x by is [tex]\frac{2}{3}[/tex], the slope is [tex]\frac{2}{3}[/tex]. This means for every time we go horizontal 3 units, the line increases by 2.
The graph is attached.
Hope this helped!
PLEASE HELP! 17 points! Use the right-hand rule for magnetic force to determine the charge on the moving particle. This is a _____ charge.
Answer: Positive Charge
Answer:
negative
Step-by-step explanation:
When using the Right-Hand Rules, it is important to remember that the rules assume charges move in a conventional current (the hypthetical flow of positive charges). In order to apply either Right-Hand Rule to a moving negative charge, the velocity (v) of that charge must be reversed--to represent the analogous conventional current.
The opposite charge is a negative charge.
what is the radical of 5√72 PLZ HELP!
Answer: Exact Form: 30√2
Decimal Form:42.42640687…
Step-by-step explanation: Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
I hope this helped :)
Answer:
30√2
Step-by-step explanation:
The radical portion of the given expression is √72.
__
Perhaps you want the simplest form of your expression. Factor out the perfect squares from under the radical.
[tex]5\sqrt{72}=5\sqrt{36}\sqrt{2}=5\cdot 6\sqrt{2}=\boxed{30\sqrt{2}}[/tex]
Which table represents a function?
Answer:
A
Step-by-step explanation:
it is A for every output y , there is only one input x
Answer:
A
Step-by-step explanation:
Because all the x-intercepts are different. Whereas all the other ones have repeats of numbers in the x-intercepts.
Evaluate the expression below for x =4 and y = 5.
x2 + 3(x + y)
When x = 4 and y = 5, x2 + 3(x + y)= |
(Type an integer or a decimal.)
Answer:
positive 35
Step-by-step explanation:
x2 + 3(x + y) given
4(2) + 3(4+5) problem
4(2) + 3(9)
8 + 27= 35
Discuss how you will use number sense to help plan a trip to your state capital. In your response, include the numbers that would be needed for this trip. Explain how understanding place value,number properties and the computation can help u with your planning
To plan a trip to your state capital, you need the following numbers
The number of available routesThe distance The speed limitTimeAssume you're travelling by road, you need to highlight the number of routes between your state and the state capital.
The number of routes is a natural number (i.e. minimum of 1 e.g. 6, 8, 1). Because it is a natural number, the number of routes can never be 0.
Next is to determine the distance to the state capital through each route. In most cases, the distance between places are positive rational or irrational numbers (however, they can be approximated to natural numbers).
The speed limit on each route will also help in planning the trip. Speed limits are always represented as natural numbers. When you know the speed limit (and the distance), you can use that to predict how long (i.e. the time) the trip will take. The formula to use is:
[tex]Speed = \frac{Distance}{Time}[/tex]
Make time the subject
[tex]Time= \frac{Distance}{Speed }[/tex]
The value of time can be estimated/approximated as a natural number.
In addition to the previous number, you may also need the following numbers
The liters of fuel to useThe amount of fuel per literThe essence of place value in these number (especially the numbers with decimal points) is to get an estimated value.
Read more about number properties at:
https://brainly.com/question/623357
help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help ill give brainly ;))
Answer:
See explanation
Step-by-step explanation:
a) 15:20 - 12:35 = 14:80 - 12:35 = 2 hours and 45 minutes
b) 13:05 - 10:15 = 12:65 - 10:15 = 2 hours and 50 minutes
c) 6:50 - 4:30 = 2 hours and 20 minutes
d) 1:15pm - 9:55am = 13:15 - 9:55 = 12:75 - 9:55 = 3 hours and 20 minutes
Answer:
a) 15:20 - 12:35 = 14:80 - 12:35 = 2 hours and 45 minutes
b) 13:05 - 10:15 = 12:65 - 10:15 = 2 hours and 50 minutes
c) 6:50 - 4:30 = 2 hours and 20 minutes
d) 1:15pm - 9:55am = 13:15 - 9:55 = 12:75 - 9:55 = 3 hours and 20 minutes
Step-by-step explanation:
Write two different polynomials with a difference of
- 3x² + 5x - 7
Answer:
(-5 +/- i√59)/-6
Step-by-step explanation:
(-5 +/- √25-84)/2(-3)
(-5 +/- i√59)/-6
A rectangular swimming pool has length 15w - 1 feet and width 9w + 2 feet. Find the perimeter of the pool.
Answer:
48w +2
Step-by-step explanation:
Perimeter of a rectangle=2( length+width)
=2(15w-1+9w+2)
=2(24w+1)
=48w+2
Translate into an equation: Five times the sum of a number and six is 48
Hey there! I'm happy to help!
When building equations, the word "is" means "equals".
First, we have the sum of a number and six. You can use any letter to represent the number. I will use n.
(n+6)
We see that this is multiplied by 5. We can just put the 5 next to the parentheses. This shows multiplication.
5(n+6)
Is 48
5(n+6)=48
Have a wonderful day! :D
Please help me answer this question. -15 - g/3 = -5.
What is g?
Answer:
g = -30
Step-by-step explanation:
-15 - g/3 = -5
Add 15 to each side
-15+15 - g/3 = -5+15
-g/3=10
Multiply by -3 to each side
-g/3 * -3 = 10*-3
g = -30
Answer:
g= -30
Step-by-step explanation:
after writing down the problem, multiply both sides of the equation by 3 to get -45-g= =15. then subtract 15 from both sides to get g=-30, which is your answer. hope this helps!
The cost of a pizza at the local pizza shop has a base price of $12 for a cheese pizza, plus $2 for each additional topping? What is the value of the slope?
Answer:
$2.
Step-by-step explanation:
This is because the base price is $12, which means the constant is 12. The toppings are the only things you can add to the pizza, so the price of each additional topping is the slope of the pizza's cost. The slope is 2 dollars.
Hope this helps!
Answer:
2
Step-by-step explanation:
If we were to write a linear equation in slope-intercept form (y = mx + b where m = slope and b = y-intercept) of this situation, it would be y = 2x + 12 where y is the price and x is the number of toppings. This is because the price for every topping is 2x but the base price doesn't change, therefore it's a constant so it would be + 12. In this case, since m = slope, the slope is 2.
The population of a large U.S. city is 2,707,210. Which of the following best expresses this population?
A 2.7 × 106 C 2.707 × 106
B 2.7 × 107 D 27.07 × 106
Answer:
2.707 * 10^6
i think it is the best expression
What are the domain and range of the function? f(x)=−4x√x
Answer:
Domain x ≥ 0 Range y ≤ 0
Step-by-step explanation:
Answer:
[tex]Domain = \{x\,|\,x\geq 0\}[/tex]
[tex]Range=\{\,y\,|\,y\leq 0\}[/tex]
Step-by-step explanation:
Notice that the Range of the function (x-values for which the function exists) is limited by the possible values of x inside the square root. For [tex]\sqrt{x}[/tex] to exist, x must be larger than or equal to zero ([tex]x\geq 0[/tex])
So this gives us the description for building the Domain (what is called "set builder notation":
[tex]Domain = \{x\,|\,x\geq 0\}[/tex]
Now for the Range, let's look into all the possible values that these [tex]x\geq 0[/tex] values of x can render:
[tex]x\geq 0\\\sqrt{x} \geq 0\\x\,\sqrt{x} \geq 0[/tex]
but now, if we multiply both sides of the inequality by "-4", the direction of the inequality changes rendering;
[tex]-4\,x\,\sqrt{x} \leq 0[/tex]
Since these are the possible values of the "y-coordinate", then we right the Range in set builder notation as:
[tex]Range=\{\,y\,|\,y\leq 0\}[/tex]
Identify the sample as biased or unbiased and describe its type. John wanted to know about the popularity of a particular movie. He surveyed 20% of the people in 5 different theaters.
Answer: unbiased; simple random sampling
Step-by-step explanation:
From the question, we are informed that John wanted to know about the popularity of a particular movie and that he surveyed 20% of the people in 5 different theaters.
This is an unbiased sample. This is because everybody at the theaters have an equal chance of being chosen by John.
Also, it's a simple random sampling. This is because a subset of the entire population is randomly selected.
prove that [tex]2/\sqrt{3} cosx + sin x= sec(\pi /6-x)[/tex]
Answer:
sec(π/6 - x) = R.H.S = 2/(√3cosx + sinx) = L.H.S.
Step-by-step explanation:
sec(π/6 - x) = 1/cos(π/6 - x)
Using compound angle formula,
cos(A - B) = cosAcosB + sinAsinB where A = π/6 and B = x.
So, cos(π/6 - x) = cos(π/6)cosx + sin(π/6)sinx , cosπ/6 = √3/2 and sinπ/6 = 1/2
cos(π/6 - x) = cosπ/6cosx + sinπ/6sinx = (√3/2)cosx + (1/2)sinx
sec(π/6 - x) = 1/cos(π/6 - x)
= 1/(√3/2)cosx + (1/2)sinx = 2/(√3cosx + sinx)
= L.H.S
So, sec(π/6 - x) = R.H.S = 2/(√3cosx + sinx) = L.H.S
Charles has 24 marbles. He has 6
more yellow marbles than blue marbles.
Which equation represents this situation?
Answer:
6+x=24
Step-by-step explanation:
he has 6 more marbles than the blue
the amount of blue marbles is unknown
so let blue marble be x
we know that the total number of marbles is 24
so 6+x=24
Solve please. 5x+6=1 X=
Answer:
x = -1Step-by-step explanation:
Given,
5x + 6 = 1
=> 5x = 1 - 6
=> 5x = -5
[tex] = > x = \frac{ - 5}{5} [/tex]
=> x = -1 (Ans)
What is the correct solution to the equation 1 – (2x + 4) = –4x + 5?
[tex]\\ \sf\longmapsto 1-(2x+4)=-4x+5[/tex]
[tex]\\ \sf\longmapsto 1-2x-4=-4x+5[/tex]
[tex]\\ \sf\longmapsto -2x-3=-4x+5[/tex]
[tex]\\ \sf\longmapsto -2x+4x=5+3[/tex]
[tex]\\ \sf\longmapsto 2x=8[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{8}{2}[/tex]
[tex]\\ \sf\longmapsto x=4[/tex]
Step-by-step explanation:
[tex]\Large \boldsymbol {} \sf 1-(2x+4)=-4x+5 \\\\1-2x-4=-4x+5 \\\\4x-2x=5+3 \\\\2x=8 \\\\\boxed{\sf x=4}[/tex]
Hello pls Asap plsssss
Solve the simultaneous equation
X+3y=13
X-y=5
Answer:
x = 7
y = 2
Step-by-step explanation:
In the above question, we are given 2 equations which are simultaneous. To solve this equation, we have to find the values of x and y
x + 3y = 13 ........ Equation 1
x - y = 5...........Equation 2
From Equation 2,
x = 5 + y
Substitute 5 + y for x in Equation 1
x + 3y = 13 ........ Equation 1
5 + y + 3y = 13
5 + 4y = 13
4y = 13 - 5
4y = 8
y = 8/4
y = 2
Since y = 2, substitute , 2 for y in Equation 2
x - y = 5...........Equation 2
x - 2 = 5
x = 5 + 2
x = 7
Therefore, x = 7 and y = 2
(a+b)² = a²+2ab+b² prove that.
Answer:
see explanation
Step-by-step explanation:
(a + b)²
= (a + b)(a + b)
Each term in the second factor is multiplied by each term in the first factor, that is
a(a + b) + b(a + b) ← distribute parenthesis
= a² + ab + ab + b² ← collect like terms
= a² + 2ab + b²
Answer:
(a+b) is squared which means (a+b)(a+b)
Lets prove it
= (a+b)(a+b)
= a(a+b) + b(a+b) (Here a will mutiply by (a+b) and b will mutiply with (a+b)
= a²+ab + ab + b²
= a²+ 2ab + b²
Hence proved (a+b)² = a²+ 2ab + b²
please click thanks and mark brainliest if you like :)