Using proportions, it is found that $1,225 is earned from nachos.
This question is solved by proportions, using a rule of three.The measures have an inverse relationship, hence line multiplication is applied instead of cross multiplication.When the theater makes $1,540 from popcorn sales, it makes $1,330 from nacho sales. How much is earned from nachos when $1,672 is earned from popcorn?The rule of three is:
$1,540 - $1,330
$1,672 - $x
Applying line multiplication:
[tex]1672x = 1540 \times 1330[/tex]
[tex]x = \frac{1540 \times 1330}{1672}[/tex]
[tex]x = 1225[/tex]
$1,225 is earned from nachos.
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The world’s two highest dams are both in Tajikistan. The Rogun dam is 35 meters taller than the Nurek dam. Together they are 635 meters tall. Find the height of the Nurek dam
Answer: Rogun dam is 335m tall and Nurek dam is 300m tall
Step-by-step explanation:
I will use [tex]r[/tex] to represent the height of the Rogun dam and [tex]n[/tex] to represent the height of the Nurek dam.
The system of equations is as follows:
[tex]r+n=635[/tex]
[tex]r-n=35[/tex]
From the second equation, we can rearange it to be:
[tex]r=35+n[/tex]
Then take this new value of [tex]r[/tex] and plug it into our first equation to find [tex]n[/tex]
[tex](35+n)+n=635[/tex]
[tex]35+2n=635[/tex]
[tex]2n=600[/tex]
[tex]n=300[/tex]
This means that the Nurek dam is 300m tall, and the Rogun dam is 335m tall, found by pluggin the value into our first equation:
[tex]r+300=635[/tex]
[tex]r=335[/tex]
To train for an upcoming marathon, Susie plans to run 2 miles per day the first week and then increase the daily distance by a half a mile each of the following weeks.
There are many ways to approach this problem.
Week Miles
1 2
2 2.5
3 3
4 3.5
5 4
6 4.5
Write an equation to represent the nth term of the sequence.
Answer:
f(x)= .5x + 2
Step-by-step explanation:
Now this is not to complicated
first the constant is 2
after each day she gains .5 miles
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation to represent the nth term of the sequence is y=0.5x+2.
What is the equation of a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is the y-intercept.
Let the distance travelled by Susie in any week,x be represented by y.
Given that Susie will run 2 miles in the initial or in the first week. Therefore, the distance for the initial work week will be,
Initial distance = y-intercept = c = 2
Further, if the daily distance is increased by half a mile each of the following weeks. Therefore, the slope of the equation is the change in the distance, therefore, we can write,
Slope, m = Change in the distance = 0.5
Now, if the equation represents the nth term of the sequence, then we can write,
y = mx + c
y = 0.5x + 2
Hence, the equation to represent the nth term of the sequence is y=0.5x+2.
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What is the image of O(1,4) after two reflections, first across the line y = 4, and then across
the line x = -2?
(-5,4)
(-2, 4)
(-1,8)
(1,4)
Answer:
A. (-5,4)
Step-by-step explanation:
A reflect on y=4 does not affect point (1,4) since it is on y=4
So a reflect on itself is the same
A reflection of x= -2 is trickier
Since the distance between x=-2 and (1,4) is 3 (I am only counting x-axis the distance between -2 and 1 is 3)
So we have to start at (-2,4) (Since the y-axis, "4" didn't change) and move it 3 points to the left
Which is (-5,4)
Thus A
Hope this helps!
Expand and simplify (√10-√2)² Give your answer in the formn b-c√5 where b and c are integers
Answer:
12-4√5
Step-by-step explanation:
(√10-√2)²
(√10-√2)(√10-√2)
Foil/distribute
10-√20-√20+2
12-2√20
12-2√4*√5
12-2*2√5
12-4√5
On expansion of the algebraic identity of [tex](a-b)^2[/tex], the expansion of [tex](\sqrt{10}-\sqrt{2})^2[/tex] is [tex]12-4\sqrt{5}[/tex]. Thus making b = 12 and c = 4.
Algebraic identities are expansion of powers of algebraic expressions.
One such algebraic identity is the expansion of [tex](a-b)^2[/tex]. It is given by:
[tex](a-b)^2 = a^2+b^2-2ab[/tex]
Given the question,
[tex](a-b)^2 = a^2+b^2-2ab[/tex]
[tex](\sqrt{10}-\sqrt{2})^2 = ( \sqrt{10})^2+(\sqrt{2})^2 -2 ( \sqrt{10})(\sqrt{2})\\\\=10 + 2 - 2\sqrt{20}\\\\ =12 - 2\sqrt{2*2*5} \\\\= 12 -2*2\sqrt{5} \\\\=12-4\sqrt{5}[/tex]
Given the form, [tex]b - c\sqrt{5}[/tex],
On comparison,
b = 12
c = 4
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If f(x) = 9(x - 7)^2 – 8
Find f( – 4)
Answer:
1,081
[tex]f( - 4) = 9( - 4 - 7) {}^{2} - 8 \\ f( - 4) = 9( - 11 {)}^{2} - 8 \\ f( - 4) = 1081[/tex]
Plz I need help with this I am struggling failing math
Answer:
CB = 5, [tex]m\angle{BDA} = 23^\circ[/tex]
Step-by-step explanation:
Assuming that the marks next to angle D mean that [tex]\angle{BDA} \cong \angle{BDC}[/tex], then there is enough information to conclude that the two right triangles are congruent (HA theorem--hypotenuse/angle).
Then all the corresponding parts of the two triangles are congruent, including segments BA and BC, making them the same length.
4x + 1 = 9x - 4
Solving for x,
1 = 5x - 4
5 = 5x
1 = x
Pluggint x = 1 into the two expressions reveals that the length of segment CB is 5.
The two small angles at D are congruent, so [tex]m\angle{BDA}=23^\circ[/tex].
what's the Answer ?
[tex] \tiny\sf{6 + 6 \div 3}[/tex]
Answer: 8
Step-by-step explanation:
PEMDAS
division first
6 + 2
8
Answer:
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
Step-by-step explanation:
6/3 = 2
6+2 = 8
HAVE A NICE DAY
Factor out the GCF
4g^3-6g+20g^2
Answer:
[tex]\sf 2g(2g ^2-3+10g)[/tex]Step-by-step explanation:
[tex]\sf 4g^3-6g+20g^2[/tex]
GFC: 2g
We'll Write the GCF first, then, divide each term by the GCF.
[tex]\sf 2g(\frac{4g^3}{2g}-\frac{6g}{2g} +\frac{20^2}{2g} )[/tex]
[tex]\sf 2g(2g ^2-3+10g)[/tex]
a diver jumps a platform 16 feet above the water to a depth of 6 feet below the surface of the water. what is the distance he dives
Cooper Toy Company has designed a new toy that uses a spring that follows a
sinusoidal curve after you wind it up and start it. At t = 5 seconds, the end of
the spring is at its highest point, 18 cm above the ground. Four seconds later,
the spring is at its lowest point, which is 6 cm above the ground. Find an
equation that will determine the height of the spring at any time t.
a) Find the height of the spring after 26 seconds.
b) Find the first time the height of the spring reaches 16 cm above the ground.
Answer:
Step-by-step explanation:
b] find the first time the height of the spring reaches 16 cm above the ground.
What is the slope of the line with the equation: y+6=24-2x
pleeaseeee
Answer:
The slope is -2
Step-by-step explanation:
y+6=24-2x
y=18-2x
y=-2x+18
Answer:
Slope = -2
Step-by-step explanation:
Changing this problem (y+6=24-2x) to Slope Intercept form turns it into y=-2x+18.
the formula is written as y=mx+b m=slope b=y-intercept and x & y being a certain number that is unknown . Therefore, the slope of the equation y=-2x+18 will be
m=-2/1 rise/run
PLZ HELP
How would you graph the solution set of x - 2 > 5?
Open circle on 7 and shaded to the right.
Closed circle on 7 and shaded to the right.
Open circle on 7 and shaded to the left.
Closed circle on 7 and shaded to the left.
Answer:
look up demos, it works like a charm everytime!
Step-by-step explanation:
hope this helps :)
Betty earned $159 by selling 75 Each bracelet was the same price about how much did each bracelet cost estimate the cost of each bracelet what compatible numbers did you use
Answer:
2$ compatible numbers are 200 and 100
Step-by-step explanation:
teheheh help please :)
Answer:
Solid line
Step-by-step explanation:
This means that it is equal. The line under the less than sign means it would be a solid line.
i need help with this question, thx to anyone who helps! :)
Answer:
Golf balls
Step-by-step explanation:
There is a much higher chance of her picking an even number in the golf ball tank because there are way more golf balls with even numbers. (2, 4, 6, 8, etc.)
can i please have help with this question branliest for the correct answer
Answer:
y = -4x+2
Step-by-step explanation:
To find a perpendicular line, the slope would be -4.
y=-4x
Since the point it has to go through is (0,2), the y-intersept is already given.
y = -4x+2
About how many times larger is 12 x 10(4) compared with 3 x 10(5)?
0.3
0.4
0.9
1.2
*the ones in parentheses are exponents
pPLEASE HELP ME, I NEED HELP I CANT UNDERSTAND I COULD JUST GUESS BUT ITS IMPORTANT PLS
Answer: where’s the question??
We need a minimum of 30 book sales by today. If 10 books were sold yesterday, what are the possible numbers for sales today
A.b> 20
B. b> 10
C.b> 30
D.b> 20
I mean it would be A and D because I don't know why they are both the same answer. If 10 books were sold yesterday, at LEAST 20 are needed to make the goal.
Use the graph to find the cost of 8 shirts.
Cost of Shirts
y
200
8 8 8 8 8 8 8 8 8
Cost ($)
120
0
7 8 9 10 11
Number of shirts
O A. The cost of 8 shirts is $120.
OB. The cost of 8 shirts is $150.
Ο Ο Ο Ο
C. The cost of 8 shirts is $8.
O D. The cost of 8 shirts is $15.
PLS help me 20 points in total
Answer:
-3.5 is the answer
I mean, I think this is referring to positive and negatives which if it is, it would be -3.5 .
Subtract: -10 - (-21)
pls help i really need help STOP SENDING ME LINK
Answer:
0
Step-by-step explanation:
because your making it all to the zero power which equals zero
Answer:
0
Step-by-step explanation:
We will use the rule of order of operations
15 + 4 = 19
20 + 5 = 25
19 squared = 361
3 x 361 = 1083
25 squared = 625
625 x 2 = 1250
New equation =
1083 + 1250
=
2333
But you multiply by 0 so it equals 0
62 out of 100 children prefer strawberries. What percentage of children prefer strawberries
Answer:
it is 62
Step-by-step explanation:
62 out of 100 is equal to 62/100 or 62%
Find the Product of (s^2+5s)(s^3+4s^2).
The result of the product [tex](s^2+5s)(s^3+4s^2)[/tex] is [tex]s^5+9s^4+20s^3[/tex]
The product is given as:
[tex](s^2+5s)(s^3+4s^2)[/tex]
Rewrite as:
[tex](s^2+5s)(s^3+4s^2) = (s^2+5s) \times (s^3+4s^2)[/tex]
Expand the expression on the right-hand side
[tex](s^2+5s)(s^3+4s^2) = s^2\times (s^3+4s^2)+5s \times (s^3+4s^2)[/tex]
Distribute the expressions
[tex](s^2+5s)(s^3+4s^2) = s^5+4s^4+5s^4+20s^3[/tex]
Evaluate like terms
[tex](s^2+5s)(s^3+4s^2) = s^5+9s^4+20s^3[/tex]
Hence, the result of the product [tex](s^2+5s)(s^3+4s^2)[/tex] is [tex]s^5+9s^4+20s^3[/tex]
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enter a formula using k to connect the two variables. y is proportional to 1/x
[tex]y \propto \dfrac 1x\\\\\implies y = \dfrac kx[/tex]
You move left 2 units and down 1 unit. You end at (-5, -5.) Where did yo start
Answer:
(-3, -4)
Step-by-step explanation:
(-5, -5)
2 units right
(-3, -5)
1 unit up
(-3, -4)
just go backwards
Answer:
(-3, -4)
Step-by-step explanation:
The x value in (-5, -5) is -5 and y is -5. To find the original position you reverse the translations done to get to the current position. So you add 2 (because you move 2 units right to reverse) to the x value which gives us -3 and add 1 to the y value (because to reverse we move 1 unit up) which gives us the original y value of -4.
2
Which is the equation of a line that has a slope of 3 and passes through point
(-3,-1)?
2
1o -+1
O y=-3x+1
O y=-x+3
O y=-x-1
=
O y=-x-3
Answer:
Step-by-step explanation:
We'll start with the slope intercept form of a straight line equation:
y = mx + b, where x is the slope and b the y-intercept. The slope we are given is 3, so:
y = 3x + b
We need a value of b that will force the line to go through (-3,-1). Do this by entering that point in the equation and solving for b:
y = -3x + b
-1 = 3(-3) + b
b = 8
y = 3x + 8
Choose the inequality that could be used to solve the following problem.
Three times a number is at most negative six.
(A) 3x ≤ -6
(B) 3x < -6
(C) 3x ≥ -6
(D) 3x > -6
Answer:
I believe the answer is A
Step-by-step explanation:
three times x can be equal to, but never greater than -6
Answer:
A. 3x ≤ -6
Step-by-step explanation:
the sentence ‘3x is at most -6
means that the most 3x is allowed to be is -6
it can be -6 or any number less than -6
So, the phrase 3x is at most -6
’ means ‘
3x ≤ -6
Deshaun has 38 carnival tickets.
It costs 5 tickets to ride the roller coaster.
How many rides can he take?
Answer:
7 rides
Step-by-step explanation:
38/5=7 with a remainder of 3. He need 5 tickets to ride so he can only take 7 rides.