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Answer:
15x +5y = 85 . . . . . equation for money spent
Step-by-step explanation:
The money spent will be the sum of products of numbers of tickets and their cost:
15x +5y = 85
__
The number of tickets bought will be the sum of the numbers of each kind.
x +y = 13
_____
The solution of this system of equations is (x, y) = (2, 11).
The Robinsons order pizza for dinner. Their pizza costs $12.99. The tax in their city is 7% and they want to tip their delivery driver 15%. What is their total cost for the pizza? The tip should be based on the price BEFORE tax. Round to the nearest cent.
A.$20.14
B.$13.21
C.$11.81
D.$15.85
Find the distance between the points (-5,4) and (0,-5)
Answer:
[tex]5 \sqrt{2} [/tex]
help me with this guys !! (a lot is points)
1)what is the value of this expression? 4m + 2n, when m = 7 and n = -2
2) Use the formula: P=abc, to work out for P when a = 2, b= 3 , c =4
3)what is the correct option (expression) for this “multiply n by 9 then adds 5’’?
options
a: 9(n+5)
b: 9n + 5
c: 5n + 9
d: 5(n+9)
4)use the position -to-term rule to find the first four terms in the sequence. term = 3x position number + 3
5) amy thinks of. number n. what is the correct expression if she doubles ur and -‘s 7
Answer:
Step-by-step explanation:
1) 4m + 2n = 4*7 + 2*(-2)
= 28 - 4
= 24
2) P = abc
= 2*3*4
= 24
3) Multiply n by 9 : 9*n = 9n
Then add 5
9n + 5
4)double of n = 2*n = 2n
Plz help! Solve systems of Equations by substitution
y = 6x -11
-2x - 3y = -7
Answer:
x = 2
y = 1
Step-by-step explanation:
1) Re-arrange
(Solving for y)
-2x -3y = -7 --> x3
6x - y = 11 --> x1
-6x -9y = -21
6x -y = 11
-9y = -21
-y = 11
(-9y + -y) = (-21 + 11)
-10y = -10
y = -10/-10
y = 1
2) Substitute
6x - 1 = 11
6x = 11 + 1
6x = 12
x = 12/6
x = 2
Answer: x = 2, y = 1
Step-by-step explanation:
Rearrange the second equation so it just works a little easier for you:
-2x - 3y = -7
rearranged to make y (with its constant) the subject:
3y = 7 - 2x
So we know what y equals. The question tells us y = 6x - 11. So substitute those values into the rearranged equation.
3y = 7 - 2x becomes:
3(6x - 11) = 7 - 2x
because as stated in the question, y = 3x - 11.
Expand the brackets on the left-hand side:
18x - 33 = 7 - 2x
Rearrange to collect like terms:
18x = 7 + 33 - 2x
18x = 40 - 2x
18x + 2x = 40
20x = 40
x = 40/20
x = 2.
So now we know the value of x.
Let's input our new found value of x into one of the given equations, such as y = 6x - 11.
y = (6 * 2) - 11
y = 12 - 11
y = 1.
So y = 1.
You can test this by inputting these values into the other equation, for assurance.
-2x - 3y = -7 becomes:
(-2 * 2) - (3 * 1) = -7
(-4) - 3 = -7
-7 = -7
jeff is playing a new video game the goal is to explore a cave with many levels and collect gold coins in order to get through a door to the next level you must master a secret code jeff's video character has 4 pockets on his jacket the top left pocket is marked with 3/4 the top right is marked 5/15 the lower left pocket is 8 /12 and the lower right pocket is 9/12
Above the cave door at each level is a number card to open the door he must take the number card form the door and put it in the correct pocket if he puts it in the wrong pocket he loses one of his 3 lives number are 6/8 4/8 6/9 16/32 21/28 12/18 6/12 6/18
Herbert was given a pocket watch bass grandfather. The value of the watch, for any given year, t, from the time Herbert received it is modeled by the function f(t) = 150(1.35)^t. He was also given a classic guitar. It's value for any given year is modeled by the function represents in the table:
t: 0, 1, 2, 3, 4
g(t): 175 210, 252, 302.40, 362.88
What is the positive difference in values of the items in the sixth year?
A.) $385.57
B.) $472.66
C.) $835.54
D.) 893.60
Answer:
the answer is A
Step-by-step explanation:
I took the test
The product of 1 and any number is the…
Answer:
same number
Step-by-step explanation:
The product of 1 any number is the same number.
please I need help from somebody for this question. it's really confusing. thanks
Answer:
16 * (cube root of 0.5)
Step-by-step explanation:
Radius of the big cone = 12 cm / 2 = 6 cm
Let r = radius of the small cone (cone of water), and h = the height of the small cone
Also, r / h = 6 / 16, so that h = (16/6)r = (8/3)r.
Thus, since the volume of the big cone = (1/3)π(r^2*h)=(1/3)π(6^2*16), and the volume of the small cone = (1/3)π(r^2*h)=(1/3)π(r^2*(8/3)r) = (1/3)π(r^3*(8/3)), and the volume of the small cone is half the volume of the big cone, we have that
(1/3)π(r^3*(8/3))=(1/2)((1/3)π(6^2*16))
(r^3*(8/3))=(1/2)((6^2*16))
r^3 = (3/8)(1/2)(6^2)(16)
r^3 = (1/2)(6^3)
r = (cube root of 1/2)(6),
and
h = (8/3)r = (8/3)(cube root of 1/2)(6) = 16(cube root of 1/2), the depth of the water.
This is balanced. True or false?
Answer:
Step-by-step explanation:
Yes it’s balance
In 1 h the minute hand on a clock moves through a complete circle, and the hour hand moves through 1/12
of a circle.Through how many radians do the minute hand and the hour hand move between 1:00 p.m. and 6:45 p.m. (on the same day)?
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Answer:
12 11/24 radians (combined angular motion)
Step-by-step explanation:
In one hour, the combined angular motion is ...
(2π)(1 +1/12) = 13π/6 radians
Then in the 5 3/4 hours between 1 pm and 6:45 pm, the angular motion of the two hands will total ...
(23/4)(13π/6) radians = 299π/24 radians = 12 11/24 radians
_____
Additional comment
Maybe you're asking for the separate motions.
minute hand: 2π×5.75 = 11.5π radians
hour hand: (π/6)×5.75 = 23π/24 radians
Two quantities are related as shown in the table. Which equation best represents the relationship?
given l is parallel to m, find the measure of angle ptu
Answer:
Angle ptu = 116°as line L is parallel to m
angle pqt = 89° ( vertically opposite angle)
angle tpq = 3x° ( vertically opposite angles).
in triangle pqt
angle p + angle q + angle t = 180° (angle sum proper of a triangle)
Let the unknown angle ptq be X
3x + 89 + X = 180°
3x + x + 89 = 180
4x + 89 = 180
4x = 180 - 89
4x = 91
x = 27°
angle u = 89° ( corresponding angles)
angle ptu = 89 + 27
= 116°
A local hamburger shop sold a combined total of 719 hamburgers and cheeseburgers on Saturday. There were 69 more cheeseburgers sold than hamburgers.
How many hamburgers were sold on Saturday?
ü hamburgers
х
5
?
a)231*12 531*23 505*11 402*44 b) 516*25 893*72 860*91 c) 413*25 120*518 119*98 7*00*125 d) 7800*8600 980*37000 1860*890 5800*4700. * = razy
My question is this.
Answer:
5/x3
Step-by-step explanation:
just calculated it
On vacation we went to a bike rental shop. They charged a $12
fixed fee plus $7 an hour for renting a bike. I paid $64 dollars to rent a bike. How many hours did I pay to have the bike checked out? Write out equation and solve. Show work
Donna has d dimes and a quarters in her bank. How much money in cents does she have
make the sentence of possessive pronouns
Answer:
They left their wallet on the table, I wonder if they know.
The possessive pronoun- their
I don’t understand and is due at 11:59
please help me asappp! I'll give brainlest and points!
Answer:
1) true
2)true
3)false
4)true
5)true
6) false
7))true
8)true
9)false
10)false.
11)false
12)true
Answer:
1-True
2-True
3-False
4-True
5-True
6-False
7-True
8-True
9-False
10-False
11-False
12-True
What is the slope of the line on the graph?
Answer:
-2
Step-by-step explanation:
To find the slope pick ANY 2 points on the line and see what you had to do to get from one point to another point.
Keep in mind that slope = rise/run , or m = difference in y /difference in x
For example, Start at (0,0) and Go to (6,-3)
To get from one point to the other you have to go up 6 and left 3 so slope is
m=6/-3 = -2
Hey can anyone help with this question please and thank you
Answer:
x = 16
Step-by-step explanation:
7x + 9 = 9x - 23
9 + 23 = 9x - 7x
32 = 7x
32 / 7 = x
16 = x
Write 34/9 as a decimal. If necessary, use a bar to indicate which digit or group of digits repeats.
Answer:
The decimal form of this fraction is 3.7 repeating.
Answer:
3.777...
Step-by-step explanation:
If f(x) = 2x and g(x) = 5x + 2, what is (f • g)(x) when x = 3?
Answer:
f×g=
[tex] = 2x \times (5x + 2) \\ = 10 {x}^{2} + 4x \\ = 10 \times {3}^{2} + 4 \times 3 \\ = 90 + 12 \\ = 102[/tex]
Erin bought one video tape for 19.95 and rented one for 4.29 the tax is 1.45 Erin gave the cashier 30$ how much change should she get
Answer:
25.69
Step-by-step explanation:
I think
Answer:
$4.31
Step-by-step explanation:
$30 - $25.69 = $4.31
A bike wheel is 26 inches in diameter. What is the bike wheel's diameter in millimeters (1 inch = 25.4 millimeters)?
Answer:
660.4 mm
Step-by-step explanation:
Since 1 inch is equal to 25.4 millimeters, we can multiply 25.4 by 26 to see how many millimeters 26 inches is. You can also think of this as a proportion:
26:x = 1:25.4
26.4 times 26 is equivalent to 660.4, so we can conclude that 26 inches are equivalent to 660.4 millimeters.
If you have any further questions or need clarification on anything, let me know!
Need HELP ASAP WILL GIVE CROWN
Answer:
Step-by-step explanation:
2(-3/5) = -6/5. (2)*(-3) = - 6/5
- 6/5 - 1/3 = 23/15. (Common denominator = 15)
6/15 - 5/15 = - 23/15
(- 23/15) / ( -6.75 / 15) = 92/27 = 3 11/27
The fence around a circular pool is 75 ft long.
Radius=
Diameter=
Circumference=
Answer:
Step-by-step explanation:
circumference=75 ft.
2πr=75
r=75/2π=75/(2×3.14)≈11.937
radius=11.94 ft
Diameter=2r=2×11≈23.87 ft
The endpoints of a side of rectangle ABCD in the coordinate plane are at A(3,5) and
B(5, 1). Find the equation of the line that contains the given segment.
The line segment is AB.
The equation is y =
Step-by-step explanation:
the equation is
y = ax + b
a is the slope of the line. this is the ratio y/x indicating how many units y changes, when x changes a certain number of units.
so, when we go from A to B, x changes 2 units (from 3 to 5), and y changes -4 units (from 5 to 1).
so the slope is -4/2 = -2
now or equation looks like
y = -2x + b
to get b we use one of the points in the equation. e.g. B
1 = -2×5 + b = -10 + b
b = 11
so, our full equation is
y = -2x + 11
Determine the equation of the line parallel to y=-5x+3 and passing
through the point (-3,7)
Answer:
y = -5x - 8
Step-by-step explanation:
Parallel lines have the same gradient
Using the point (-3,7) we will form our own equation.
-3 will be x, 7 will be y, -5 will be m, all we have to do is find the C in the form y=mx+c
7 = -5(-3) + c
7 = 15 + c
C = -8
Therefore;
y = -5x - 8