Answer:
y=6x+10a
Step-by-step explanation:
let the number of children be x
and the number of adults be a
let the total price be y
given that children tickets are $6 each
also, an adult ticket is $10
x+a=14-------1
y=6x+10a----2
Therefore the expression for the total price can be expressed as
y=6x+10a
pls I need help, it's due tomorrow!!
Answer:
1)
Angle 1: 59
Angle 2: 88
Angle 3: 147
2)x =21
Step-by-step explanation:
1)
Angle on a straight line add up to 180 degrees and angles in a triangle add to 180 degrees
2)
Opposite angles are equal. (4x) and (2x+42) are opposite therefore equal, so
4x=2x+42
Minus 2x from both sides
2x = 42
Find 1x by dividing 42 by 2, therefore
X=21
Graph and find the area of the figure with vertices (−3, −2), (−2, 1), (1, 1), (0, −2).
Answer:
9 unit²Step-by-step explanation:
The points are plotted and the figure is a parallelogram with base and height both of 3 units long.
The area is:
A = 3*3 = 9 unit²What is the equation of the line -3 x - 2 y= 30 in slope intercept form
Answer:
[tex]y=-\frac{3}{2}x-15[/tex]
Step-by-step explanation:
The slope intercept form is y=mx+b, where m is the slope and b is the y intercept.
So, all we have to do is make y the subject.
[tex]-3x-2y=30\\-2y=3x+30\\y=\frac{3x+30}{-2} \\y=-\frac{3}{2}x-15\\\\[/tex]
Answer:
y = (3/2)x - 15
Step-by-step explanation:
For it to be in slope intercept form, y has to be the subject of the equation, so it's a simple matter of rearranging the equation.
Original:
-3x - 2y = 30
and we want y to be the subject, so we start moving terms:
-3x = 30 + 2y
-3x - 30 = 2y
now it's just a matter of dividing both sides by 2 to give y as the subject
(-3/2)x - 15 = y
y = (-3/2)x - 15
Find the slope of the line passing through the pair of points. (If an answer does not exist, enter DNE.)
(10, 0), (0, −6)
Answer:
0.6
Step-by-step explanation:
Lets plug these points in:
[tex]\frac{((-6)-0)}{(0-10)} =\frac{-6}{-10} =0.6[/tex]
Here is a better picture!
Answer:
Part A: A) [tex]\frac{4y^{10}}{3w}[/tex]
Part B:
C) Quotient Rule of Powers (explained in Part A of this post).
D) Zero Exponent Rule (explained in Part A of this post, in solving for base z).
Step-by-step explanation:
[tex]\frac{28y^{15}w^{3} z^{7}}{21y^{5}w^{4} z^{7}}[/tex]
Part A:Use the Quotient Rule of Exponents:
[tex]\frac{a^{m}}{a^{n}} = a^{m-n}[/tex]
The 28 and 21 can be reduced by dividing both of them by 7. For the exponential expressions with the same base, you could subtract their exponents. I'll do each base separately so it doesn't get confusing.
[tex]\frac{28y^{15}w^{3} z^{7}}{21y^{5}w^{4} z^{7}}[/tex]
Base y:[tex]y^{15-5}[/tex] = [tex]y^{10}[/tex] (in the numerator).
Base w:[tex]w^{4-3}[/tex] = w (in the denominator. The "w" in the numerator cancels out).
Base z:[tex]z^{7-7}[/tex] = [tex]z^{0} = 1[/tex] We used the Zero Exponent Rule here, were it states: [tex]a^{0} = 1[/tex]. (unnecessary to include in the final answer).
Altogether, you'll have:
Option A: [tex]\frac{4y^{10}}{3w}[/tex]
Part B:
C) Quotient Rule of Powers (explained in Part A of this post).
D) Zero Exponent Rule (explained in Part A of this post, in solving for base z).
I need the answer ASAP
Answer:
Step-by-step explanation:
49 i Think I dont know but your part A is correct
Answer:
49 For sure is your answer
PPPPLLLSSS HELP THIS IS WORTH SIXTY PERCENT OF MY GRADE. I DONT GET HOW SINCE IT ONLY TWO QUESTIONS BUT IT IS. PLEASE HELP
1. What is the value of the expression 15⋅6-2^2⋅8+4^3 is ______
2. What is the value of the expression 2^3+2^2⋅2+6-2^1⋅2^0-1 is ______
Answer:
122; 19Step-by-step explanation:
#115 ⋅ 6 - 2² ⋅ 8 + 4³ =15 ⋅ 6 - 4 · 8 + 64 = 90 - 32 + 64 = 58 + 64 = 122#22³ + 2² ⋅ 2 + 6 - 2¹ ⋅ 2⁰ - 1 =8 + 4 · 2 + 6 - 2 · 1 - 1 = 8 + 8 + 6 - 2 - 1 = 22 - 2 - 1 = 20 - 1 =19what number is in the Tenths place for 315.84
Answer:
The number in the tenths place is 8
Step-by-step explanation:
Answer:
8.
Step-by-step explanation:
The first number after the decimal represents the tenths place. 315.84 8 is right after the decimal so it's in the tenths place.
please help me with this sum
Answer:
lol no34532534
Step-by-step explanation:
Helpppppppppppppppppppppp!!!!!!! Plzzzzzzzzzzzzzzz
Step-by-step explanation:
The sum of the interior angles of a triangle is equal to 180° so we can write
[tex]y + 2y + 3y = 180° \Rightarrow 6y = 180°[/tex]
Solving for y, we get
[tex]y = 30°[/tex]
So the other two angles of the triangle are
[tex]2y = 2(30°) = 60°[/tex]
and
[tex]3y = 3(30°) =90°[/tex]
To form the blue parallelogram, the red parallelogram is dilated using point A as the
center of dilation. Which statement is true?
Answer:
option b
Step-by-step explanation:
have a great day
pls mark as brainliest
Answer:
B
Step-by-step explanation:
what is 5/8 - 1/2 ??
Answer:
1/8
Step-by-step explanation:
First convert 1/2 to eighths:
1/2 = 4/8
5/8-4/8= 1/8
Hope this helps! :)
A recent poll in your state shows that 25% of the vehicles are SUV’s and 10% are trucks. The pill counted 5 million SUV’s. How many of the vehicles did they look at in total?
Answer:
20 million vehicles in total
Step-by-step explanation:
25%=1/4
5 million vehicles = 25%
100%/25%=4
5 million * 4 = 20 million vehicles in total
15. Reid earns $15 for each lawn he cuts. He wants to buy a new bike that costs
$109. How many lawns will he need to cut in order to have enough money?
The number 62 is less than the number of tickets sold in a day at an amusement park. Which of the following inequalities represents the number of tickets sold in a day at the park?
A.
x > 62
B.
x < 62
C.
x = 62
D.
x < 64
Answer:
A
Step-by-step explanation:
because > means more than the other number
Rationalise 10/√7-√2
[tex] \frac{10}{ \sqrt{7} - \sqrt{2} } \\ = \frac{10}{ \sqrt{7} - \sqrt{2} } \times \frac{ \sqrt{7} + \sqrt{2} }{ \sqrt{7} + \sqrt{2} } \\ = \frac{10( \sqrt{7} + \sqrt{2}) }{( \sqrt{7} - \sqrt{2} )( \sqrt{7} + \sqrt{2} )} \\ = \frac{10 \sqrt{7} + 10 \sqrt{2} }{( { \sqrt{7} )}^{2} - ( \sqrt{2} ) ^{2} } \\ = \frac{10( \sqrt{7} + \sqrt{2} )}{7 - 2} \\ = \frac{10( \sqrt{7} + \sqrt{2} ) }{5} \\ = 2( \sqrt{7} + \sqrt{2} ) \\ = 2 \sqrt{7} + 2 \sqrt{2} [/tex]
[tex]\frac{10}{\sqrt{7} } -\sqrt{2} =\frac{10\sqrt{7} -7\sqrt{2} }{7}[/tex]
( Decimal: [tex]2.36543...[/tex])
Steps:
1: Convert element to fraction.
[tex]\sqrt{2} =\frac{\sqrt{2}\sqrt{7} }{\sqrt{7} }[/tex]
[tex]=\frac{10}{\sqrt{7} } -\frac{\sqrt{2} \sqrt{7} }{\sqrt{7} }[/tex]
2: Since denominator are equal, combine the fractions.
[tex]\frac{a}{c}[/tex] ± [tex]\frac{b}{c} =\frac{a+b}{c}[/tex]
[tex]=\frac{10-\sqrt{2} \sqrt{7} }{\sqrt{7} }[/tex]
-----------------------
[tex]\sqrt{2} \sqrt{7} =\sqrt{14}[/tex]
[tex]=\frac{10-\sqrt{14} }{\sqrt{7} }[/tex]
Rationalize [tex]\frac{10-\sqrt{14} }{\sqrt{7} }[/tex] : [tex]\frac{10\sqrt{7} -7\sqrt{2} }{7}[/tex]
[tex]=\frac{10\sqrt{7}-7\sqrt{2} }7}[/tex]
Which of the following functions has a maximum value of m, where m is a positive constant?
With explanation please.
The value of m in the fourth equation does not tend to zero, hence the function that has a maximum value of m, where m is a positive constant is[tex]f(x)=-(m+x)^2[/tex]: Option D is correct.
For any function to have a maximum, the differential of the function must be equal to zero.
If the functions in options A and B and C are differentiated and equated to zero, the values of m in each function will tend to zero as well.
For the function [tex]f(x)=-(m+x)^2[/tex]
[tex]f'(x) = -2(m+x)\times 1\\f'(x)=-2(m+x)\\0 = m+x\\m = -x[/tex]
Since the value of m in the fourth equation does not tend to zero, hence the function that has a maximum value of m, where m is a positive constant is[tex]f(x)=-(m+x)^2[/tex]
Learn more here: https://brainly.com/question/12185438
f(x)=-9/x, a=-11, I don't know how to do this and I really need help with this. Please help
Answer:
9/11
Step-by-step explanation:
f(X)=-9/X
f(a) =-9/-11
f(a)= 9/11
PLSSSS HELP ILL GIVE THE BRAINLIEST ANSWER!!!!!
Answer:
y = [tex]\frac{3}{4}[/tex] x
Step-by-step explanation:
[tex]\frac{rise}{run}[/tex] , rise over run, the graph is positive
Find the product of 44.6 and 2.34.
Answer:
104.364
Step-by-step explanation:
Product means multiplication so:
44.6×2.34 = 104.364
The radius of a circle is 3 yards. What is the circle's circumference?
Hello there! The formula for finding the circumference of a circle is
[tex]C=\pi d[/tex]
We are given that the radius is 3.
Don't worry! We can find the diameter. The diameter is 2 times the radius, so the diameter is 6 yards.
Now multiply π by 6:
C=18.8 yards
Hope this helps you! Please mark Brainliest if it does!
~Just a joyful teen
[tex]SilentNature[/tex]
each big square below represents one whole. what percent is represented by the shaded area?
Answer:
43%
Step-by-step explanation:
mark me as brainliest please
The average distance from Earth to the Moon is approximately 384,400,000 kilometers.
What is the average distance, in kilometers, from Earth to the Moon written in scientific notation?
A 3.844 x 10^4 kilometers
B 3.844 x 10^5 kilometers
C 3.844 x 10^7 kilometers
D 3.844 x 10^8 kilometers
9514 1404 393
Answer:
D. 3.844 × 10^8 kilometers
Step-by-step explanation:
To write the number in scientific notation, put a decimal point after the most significant digits and write the rest of the significant digits after that. Multiply the number by the power of 10 that tells how many digits are between the most significant digit and the decimal point.
Here, the number has 8 digits between the most-significant digit (3) and the decimal point. Any trailing zeros are assumed to be not significant when the number is written without a decimal point. So, the number is written ...
3.844 × 10^8 km
whats 3/4+1/8 i dont know how to add them help im not cheating i promise i just need it to answer the question that i have and i couldn't ask it because it has a picture and i dont know how to take a picture on it because im on my personal chromebook
Answer:
7/8
Step-by-step explanation:
You multiply 3/4 by 2 to get a common denomerater, then you get 6/8, after you add 1/8 + 6/8 and get 7/8
NO LINKS!!!
Please help me with parts b and c.
9514 1404 393
Answer:
b. A × B = GCF(A, B) × LCM(A, B)
c. 15 = GCF × LCM / 20
Step-by-step explanation:
b. The products of the numbers in the table are 80, 108, 216, 45.
The products of the corresponding GCF and LCM are 80, 108, 216, 45.
Conjecture: the product of the numbers is equal to the product of the GCF and LCM.
__
c. GCF×LCM = 5×60 = 300 = A×B = 20×B
B = 300/20 = 15
The other number is 15, found by using the conjecture of part b.
_____
Additional commentIf you think for a minute about what the GCF and LCM are, you realize the relationship discussed in this problem must be the case. Consider the factors of two numbers A and B:
A = (factors in common with B) × (factors unique to A)
B = (factors in common with A) × (factors unique to B)
The GCF, by definition, are (factors in common between A and B).
The LCM, by definition, is the product of unique factors:
(common factors) × (factors unique to A) × (factors unique to B)
__
Then the product of the LCM and the GCF is ...
GCF × LCM =
(factors in common) × ((factors in common) × (unique to A) × (unique to B))
Using the associative and commutative properties of multiplication, we can rearrange this product to be ...
((factors in common)×(unique to A)) × ((factors in common)×(unique to B))
= A × B
__
Personally, I use a kind of diagram to represent the factorization of A and B and their LCM and GCF:
[unique to A (common] unique to B)
Then A = factors in [ ], and B = factors in ( ). The stuff in (common] is the GCF, and the overall product is the LCM.
Using the example of part c, this would look like [4 (5] 3), so A = 4·5 = 20 and B = 5·3 = 15. The GCF is 5, and the LCM is 4·5·3 = 60.
The end parts [unique to A( and ]unique to B) can have no common factors. Any common factors must reside in the (common] part.
f(x)=2(x-5)(x+7) What is f(-7)
Answer:
f(- 7) = 0
Step-by-step explanation:
Substitute x = - 7 into f(x) , that is
f(- 7) = 2(- 7 - 5)(- 7 + 7)
= 2 × - 12 × 0
= - 24 × 0
= 0
What is the decimal equivalent of 9.7 X 10^5
Answer:
B)
Step-by-step explanation:
9.7×10⁵= 970000
Hope this helped you- have a good day bro cya)
What is the HCF of two consecutive odd numbers?
Answer :
1 one, it's one hoped this help !
The HCF (Highest Common factor) also called the GCF (Greatest Common Factor) of two consecutive odd numbers is 1. Hope this helps!
~Just a joyful teen
[tex]GraceRosalia[/tex]
A truck can be rented from Company A for $80 a day plus $0.40 per mile. Company B charges $40 a day plus $0.50 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same. At nothing miles, the rental costs are the same from either company
.Factor 20x2 + 68x - 160
Answer:
4(5x-8) (x+5)
Step-by-step explanation:
4(5x^2+17x-40)
4(5x-8) (x+5)