Answer:
Step-by-step explanation:
Let x be gallons of 7%
Let y be gallons of 3%
364 = x + y
y = 364 - x
364(0.06) = x(0.07) + y(0.03)
364(6) = x(7) + y(3)
364(6) = 7x + 3y
364(6) = 7x + 3(364 - x)
364(6 - 3) = 7x - 3x
364(3) = 4x
x = 273
y = 364 - 273 = 91
273 gallons of 7%
91 gallons of 3%
satellite makes 4 revolutions of the earth in one day. How many revolutions would it make in 6 1/2 days?
Jay works as a waiter at a restaurant.
He works 12 hours each weekend. Jay makes $5.50 per
hour and he gets to keep 60% of his tips.
If Jay wants to earn $150 before taxes, how much tip
money should he get during the weekend?
PLEASE HURRY
Answer:
67.33.
Step-by-step explanation:
To figure out the tip, you need to find 20% of $52.60.
0.2×52.6=10.52
You should leave $10.52 for the waiter if you want to leave him exactly 20%.
To figure the tax, you need to find 8% of $52.60.
0.08×52.6=4.208
Next, add them up:
52.6+10.52+4.208=67.328
The total bill, including tax and tip, will be $67.33.
which of the following represents an arithmetic sequence with a common difference of -8.5?
Answer:
C
Step-by-step explanation:
to have a common difference of -8.5, the sequence has to consistently go down by 8.5.
in the first one, y would go up by 2 every time x goes up by 1, so its not that one.
in the second one, it does go down by 8.5 the first time but the next time it goes down by 4.25, so it's not consistent.
in the third one, each time it goes down by 8.5 so this is the answer.
the fourth one also isn't correct because the graph shows that it is going up, so you know for sure it's not that one.
1. How can you tell by looking at each graph that a proportional relationship exists between the quantities? 2. Find the constant of proportionality for each graph. Write your answer as y = kx.
Answer:1. How can you tell by looking at each graph that a proportional relationship exists between the quantities?
relationship can be represented by the graph of a straight line through the origin with a slope equal to the unit rate. For each point (x, y) on the graph, ž is equal to k, where k is the unit rate. The point (1, k) is a point on the graph.
2. Find the constant of proportionality for each graph. Write your answer as y = kx.
y = kx or y = k/x, where k determines how the two variables are related to one another. This k is known as the constant of proportionality.
Step-by-step explanation:
what is the area and perimeter of the figure with the given vertices? (7,8) , (-5, -8) , (7,-8) , (-5,8)?
Answer:
perimeter: 56 unitsarea: 192 square unitsStep-by-step explanation:
We assume you're interested in the convex polygon, so the given vertices are not listed in order around the figure.
The figure is 12 units by 16 units, so has a perimeter of ...
P = 2(L +W)
P = 2(16 +12) = 56 . . . . units
and an area of ...
A = LW
A = (16)(12) = 192 . . . . square units
PLZ HELP ME WITH MY MATH HOMEWORK!!! SHOW WORK!!!
Answer:
Hope it will help you...
Answer:
Step-by-step explanation:
two cards from an ordinary deck of 52 cards are lost at random. what is the probability that a random card from the resulting deck is a spade
Answer:
so theirs 4 suits so 1/4 but since you have 2 cards
its 1/2 or 50%
Hope This Helps!!!
A car is traveling at a constant speed of 65 miles per hour. Drag each list or statement below to show whether it describes the independent quantity or the dependent quantity.
Answer:
dependent quantity.
Step-by-step explanation:
what numbers can multiply to get -55 but also add to get -6
Answer: 1, 5, 11, 55
Which expression is equivalent to \sqrt [ 3 ] { 32 x ^ { 8 } y ^ { 10 } } ?
Answer:3x⁵
Step-by-step explanation: is equivalent to 3x⁵
I am confused in these problems ?
8. 9.
Answer:
8. 14
9. 720
Step-by-step explanation:
Both questions are asking you to find the GCD (Greatest Common Divisor) and LCM (Lowest Common Multiple).
8. Find the greatest number that can divide 392 and 462 exactly.
Find the GCD of 392 and 462:
1. Find the prime factorization of 392
2^3 × 7^2 (2 × 2 × 2 × 7 × 7)
2. Find the prime factorization of 462
2 × 3 × 7 × 11
3. To find the GCD, multiply all prime factors common to all numbers
GCF = 2 × 7, therefore GCD = 14.
9. What is the smallest number that is divisible by 20, 48, and 72?
Find the LCM of 20, 48, and 72:
1. Find the prime factorization of 20
2^5 (2 × 2 × 5)
2. Find the prime factorization of 48
2^4 x 3 (2 × 2 × 2 × 2 × 3)
3. Find the prime factorization of 72
2^3 x 3^2 (2 × 2 × 2 × 3 × 3)
4. To find the LCM, multiply all prime factors
LCM = 2^4 × 3^2 × 5 (2 × 2 × 2 × 2 × 3 × 3 × 5), therefore GCF = 720
Calculator Input:
The easiest way to find the GCD or LCM of 2 or more numbers is by using a scientific calculator. Input GCD(x,y) or LCM(x,y) for the answer. This will work for any amount of numbers as long as the input is logical.
For questions 8 and 9, you would type in GCD(392,462) and LCM(20,48,72).
Not all calculators are made the same, so other labels might be GCF or HCF instead of GCD, and LCF instead of LCM. I use GCD and LCM because that's how it is on my calculator. There isn't any difference, so using any label is fine.
Select the graph that correctly translates ƒ(x) = |x| 4 units in the negative x-direction and 3 units in the positive y-direction.
Answer:
it would be the last one
Step-by-step explanation:
lmk if you want an explanation
What is the solution to this equation? 1⁵+5²/25⁰-5¹=
Answer:
It is 21 first guy is no doubt correct.
Step-by-step explanation:
The expression results to 21.
What are Exponents and power?Exponents and powers can be used to represent extremely big or extremely small numbers in a more straightforward fashion.
For example, if we have to show 3 x 3 x 3 x 3 in a simple way, then we can write it as [tex]3^4[/tex], where 4 is the exponent and 3 is the base.
Given:
1⁵+5²/25⁰-5¹
So, 1⁵ = 1
5² = 25
25⁰ = 1
5¹ = 5
Now, 1⁵+5²/25⁰-5¹
= 1+ 25 / 1 - 5
= 1 + 20
= 21
Hence, the expression results to 21.
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What is (-2) (3 4/7)
Answer:
option 1
Step-by-step explanation:
(-2) (25/7)
-50/7 = -7 1/7
Answer:
Option A is correct.
Step-by-step explanation:
(-2) (3 4/7)
=> (-2) x (3 4/7)
=> -2 x 25/7
=> -50/7
=> -7 1/7
Therefore, Option A is correct.
If (2a+b,11) and (1, a-3b) are equal ordered pair then (a,b) = ______.
Given that
(2a+b,11) and (1,a-3b) are equal ordered pair
⇛(2a+b,11) = (1,a-3b)
On comparing both sides then
2a+b = 1 ----------Eqn(1)
11 = a-3b
⇛ a-3b = 11 ------Eqn(2)
⇛ a = 11+3b-------Eqn(3)
On substituting the value of a in Eqn(1) then
⇛ 2(11+3b) + b = 1
⇛(2×11)+(2×3b) + b = 1
⇛ 22 +6b+b = 1
⇛ 22+7b = 1
⇛ 7b = 1-22
⇛ 7b = -21
⇛ b = -21/7
⇛ b = -3
On substituting the value of b in Eqn(3) then
⇛ a = 11+3(-3)
⇛ a = 11-9
a = 2
Therefore, a = -3 and b = 2
Answer:-The value of (a,b) for the given problem is (-3,2).
Which expressions represents "2 less than the product of 5 and a number"?
A) 5n - 2
B) 5/n - 2
C) 2 - 5n
D) 5 + n - 2
Answer:
Option A is correct.Step-by-step explanation:
Let's read the part of the question carefully.(2 less than the product of 5 and a number)
The phrase "2 less" means subtracting 2 from the minuend."the product of 5 and a number" means multiplication of 5 and a number (5x)Conclusion:
Therefore:
Our expression is 5n - 2Hoped this helped.
[tex]GeniusUser[/tex]
HELP PLSSS
Use the commutative
property to make an
equivalent
expression.
4+m=?
A. 4-m
B. m+4
Answer:
B. m+4
Step-by-step explanation:
You are just writing the same equation but backwards so that the numbers still stay the same as well as the answer.
Answer: A
Step-by-step explanation:
Which of the segments below is a secant?
С
F
О.
В
Д.
А
u
А. ОВ
B. AB
ООО О
C. DE
D. AD
Answer:
it is d i believe
The secant of a circle is line segment AD. Therefore, option C is the correct answer.
What is secant of a circle?A line that crosses a circle at two different locations is said to be a secant of the circle. The Roman verb secare, which meaning to cut, is the source of the word secant. It can also be thought of as the chord of a circle extended outside of the circle.
Given that, circle with center O.
In the given figure, FC is chord, OB is radius, AB is tangent, AD is secant and DE is tangent.
Therefore, option C is the correct answer.
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ROCKETS The height in feet of a rocket t seconds after launch is modeled
by h(t) =–16t2 + 72t. Find its average speed from 3 to 4 seconds.
F-56 ft/s
G40 ft/s H 40 ft/s
J 56 ft/s
The average speed of the rocket from 3 to 4 seconds after launch is: -40 ft/s
Given the equation as a model, h(t) =–16t² + 72t.
Average speed from 3 to 4 seconds = [tex]\frac{h(4) - h(3)}{4 - 3}[/tex]
Find h(4):
h(t) =–16t² + 72t
Substitute 4 for t in the equation h(t) =–16t² + 72th(4) = -16(4)² + 72(4)
h(4) = -256 + 288
h(4) = 32
Find h(3):
h(t) = -16t² + 72t
Substitute 3 for t in the equation h(t) =–16t² + 72th(3) = -16(3)² + 72(3)
h(3) = -144 + 216
h(3) = 72
Plug in the value into [tex]\frac{h(4) - h(3)}{4 - 3}[/tex]:
average speed from 3 to 4 secs = [tex]\frac{32 - 72}{4 - 3} = -40[/tex]
Therefore, the average speed of the rocket from 3 to 4 seconds after launch is: -40 ft/s
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7x+27x+2 from -5x^2-2x
ADDING AND SUBTRACTING POLYNOMIALS
Answer:
7x+27x=34x
34x+2-(-5×^2)-2x
34x+2+5x^2-2x
34x+2x=36x
36x+2+5x^2
For A = {B, C, D} and B = {A, E, I, O, U}, which set is empty?
Answer:
B is empty
Step-by-step explanation:
When c=-7, evaluate 4(9/4+5/7c)
Hey there!
4(9/4 + 5/7c)
= 4(9/4 + 5/7(-7))
= 4(9/4) + 20/7(-7)
= 4(9/4) - 20
= 9 - 20
= -11
Therefore, your answer is: -11
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Given that
[tex] log_{4}(y - 1) + log_{4}( \frac{x}{2} ) = z \: \: and \: log_{2}(y + 2) + log_{2}(x) = z - 1 \: show \: that \: {y}^{2} = 1 + {8}^{z} \: and \: find \: the \: values \: of \: y \: and \: x [/tex]
when z = 1
Answer:
Gracias por los puntos
Bye :v
A mini cooper is 120 inches long. A truck is 83% longer than the car.
How long is the truck?
Answer:A 16-ounce can of mixed nuts includes 6 ounces of cashews and 10 ounces of almonds. What is the ratio of almonds to mixed nuts in this can of nuts?
Step-by-step explanation:
Answer:
705.8823529411765
Step-by-step explanation:
You find out what percent the Mini Cooper is a subtract that from the full 100%. You would then have 17%. Now you need to divide the 120 inches by 17 to find out what 1% equals. In this case 7.058823529411765, now you multiply by 100 to get the full 100%. The answer is 705.8823529411765
Functions fg and hare shown on the graph. Y 10- 8 6 h 4- 2- x 10 -6 -4 - 2 2. 4 6 8 -10 -8 10 2- 4 -6 00 8- -10 Which of these functions have a domain of all real numbers? ОА. function fonly OB. functions f, g, and h oc functions fand gonly . OD functions g and h only
All the function graphed have domain of all real numbers.
What is Function?A function is an expression, rule, or law in mathematics that describes a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are common in mathematics and are required for the formulation of physical relationships in the sciences.
The domain of a function is defined by the graph's x-values (input values).
Similarly, Range is defined by the set of y-values (output values) in the function's graph.
Now, From the graph attached,
Domain of function 'f' : {x | x ∈ R}
Domain of function 'g' : {x | x ∈ R}
Domain of function 'h' : {x | x ∈ R}
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A graph of y=f(x) is given. No formula for f is given. Find the graph of g(x)=f(-1/2x).
Answer:
B
Step-by-step explanation:
To do this, we'll need to understand the skeleton form of transformations and what each variable represents in the equation. We have y = a(x-h) + k, where a represents vertical scaling, h the horizontal shift, and k the vertical shift.
So in this case, we need to reflect the graph over the y axis and horizontally scale it by a factor of 2 (i.e. stretch the graph horizontally). The answer is B.
24 peppermint; 8 to 5
help wit this please
Answer:
1: Out: 5, 8, 11, 14
2: Out: 2, 7, 10, 11
3: Out: 11 Rule: Add 4
4: Out: 6 Rule: Add 4
The level of significance that determines the area of the critical region for a hypothesis
test, should be chosen before the statistical test findings are evaluated, as to not allow
biasing of the test results by the individuals conducting the hypothesis test.
O True
O False
The Level of significance that determines the area of the critical region for a hypothesis test, should be chosen before the statistical test findings are evaluated, as to not allow biasing of the test results by the individuals conducting the hypothesis test. - False
What is level of significance?Level of significance is the" measurement of the statistical significance. It defines whether the null hypothesis to be accepted or rejected. It is expected to identify if the result is statistically significant for the null hypothesis to be false or rejected. The level of significance, also denote as alpha".
The Level of significance that determines the area of the critical region for a hypothesis test, should be chosen before the statistical test findings are evaluated, as to allow biasing of the test results by the individuals conducting the hypothesis test.
Hence, the given question is False.
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In one month Karissa earned $600 at her part-time job, and $50 was withheld for federal income tax. Suppose she earns $900 next month. How much will be withheld for federal income tax?
Don't get me wrong, I am not exactly sure but I believe it is supposed to be 75$.