Answer:
The rate of change or slope m = -50
Step-by-step explanation:
The slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where
m is the rate of change or slopeb is the y-interceptGiven that there is $500 in Holly's bank account.
Thus, the y-intercept b = 500
It is stated that she takes out $50 from her account each month but doesn't put money back in.
It means the rate of change or slope is decreasing.
Thus, the rate of change or slope m = -50
EXTRA BONUS!
We can also determine the line equation by substituting m = -50 and b = 500 in the slope-intercept form
[tex]y = mx+b[/tex]
y = -50x + 500
Here:
The slope m = -50
The y-intercept = 500
6 x 2/3 x 2 1/2 = what plss help
Answer:
10
Step-by-step explanation:
Answer
10
Step-by-step explanation:
HELP WHAT EQUATION MATCHES THE GRAPH? PLEASE HELP ME
Step-by-step explanation:
I think no. c is correct
if it helps you then plzz mark me brainliest
Regina carns $7.25 per hour for babysitting her little sister how many hours must Regina work to earn $464
Answer:
64
Step-by-step explanation:
464 / 7.25 = 64
20 points Help I will mark brainliest
Answer:
The answer ia option 2
Step-by-step explanation:
When a line is parallel to the other line, they will have the same slope (gradient).
The new equation will be y = (1/4)x + b.
Next, you have to find the value of b, by substituting the coordinates into the equation :
[tex]y = \frac{1}{4} x + b[/tex]
[tex]let \: x = - 4,y = - 2[/tex]
[tex] - 2 = \frac{1}{4} ( - 4) + b[/tex]
[tex] - 2 = - 1 + b[/tex]
[tex]b = - 1[/tex]
Mary has a \large 16\frac{1}{2} ounce bag of chocolate chips. She will only use \large \frac{1}{4} of the bag for decorating a cake. How many ounces will she use for decorating
Answer:
4 1/8 ounces
Step-by-step explanation:
Total bag of chocolate chips Mary has = 16 1/2 ounces
She will only use 1/4 of the bag for decorating a cake.
How many ounces will she use for decorating
Ounces used in decoration = 1/4 of 16 1/2
= 1/4 × 33/2
= (1*33)/(4*2)
= 33/8
= 4 1/8 ounces of chocolate chips
She will use 4 1/8 ounces of chocolate chips for decorating a cake
expand and simplify (x-3)(2x+1)(3x-2)
Answer:
6x³ - 19x² + x + 6
General Formulas and Concepts:
Algebra I
Terms/CoefficientsExpand by FOIL (First Outside Inside Last)Step-by-step explanation:
Step 1: Define
(x - 3)(2x + 1)(3x - 2)
Step 2: Expand
Expand [FOIL]: (2x² + x - 6x - 3)(3x - 2)Combine like terms: (2x² - 5x - 3)(3x - 2)Expand: 6x³ - 15x² - 9x - 4x² + 10x + 6Combine like terms: 6x³ - 19x² + x + 6Write sin (4theta) in terms of sin (2theta) and cos (2theta).
Answer:
2 sin 2 theta cos 2 theta
Step-by-step explanation:
Mathematically;
sin (4theta) = sin (2theta + 2theta)
Using the sine addition rule
That would be;
sin 2 theta cos 2 theta + sin 2 theta cos 2 theta
= 2 sin 2 theta cos 2 theta
Very confused. Will give 40pts.
Answer:
Y = 10.25 or 10.247
Step-by-step explanation:
Alright So use the Formula A^2 + B^2 = C^2
You have one leg and the hypotenuse so first you are going to find 19 ^2 = 361.
Next, you need to find 16^2 = 256.
Last but not least, you subtract the leg from the hypotenuse, which equals 361-256=105
Finally, you take 105 and find its square root.
And depending on how far you round it down, your answer would be 10.25(that is in tenths), or 10.247(which is rounded to hundredths)
Hope this helps!
Find X in this picture.
Answer:
x is in the top left of the triangle :)
Step-by-step explanation:
Answer:
its there....
Step-by-step explanation:
12 ÷ 4 x ___ = 12
im so confused on this question can you guys help
Answer:
Step-by-step explanation:
12/4 = 3
3 x 4 = 12
4 is the answer
An aircraft flies at a speed of 480 miles per hour. It takes the aircraft t hours to reach its destination.
Which of the following equations can be used to find the number of hours it takes the aircraft to reach a destination that is 1200
miles away?
A 1200t=480
B480+1200=t
C480t=1200
D 480+t=1200
Answer:
A
Step-by-step explanation:
The equation 480t = 1200 can be used to find the number of hours an aircraft takes to reach a destination that is 1200 miles away.
The correct answer is option (C) 480t = 1200.
What is equation?"An equation is a mathematical statement that is made up of two expressions connected by an equal sign."
Formula to calculate speed:speed = distance / time
For given question,
An aircraft flies at a speed of 480 miles per hour and takes t hours to reach its destination.
Let d represents the distance(in miles) traveled by an aircraft in t hours with a speed of 480 miles per hour.
By using the formula of speed,
⇒ 480 = d/t
When destination is 1200 miles away.
This means d = 1200 miles.
⇒ 480 = 1200/t
⇒ 480t = 1200 .....................(Multiplying both the sides by t)
This equation can be used to find the number of hours it takes the aircraft to reach a destination that is 1200 miles away.
Therefore, option (C) is the correct answer.
Learn more about equation here:
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what is the square root of 5 divided by 5 square root of 3?
What would the temperature be on a hot day?
A.35°C
B.32
C.10°C
D.0°F
Answer:
A. 35°C.
Step-by-step explanation:
35 C (Celsius), converted to F (Fahrenheit), would be 95. Which would make it a hot day.
So, you answer is 35°c.
Answer the following. a) Find h b) Find x
Answer:
a) h = 15
b) x = 4
Step-by-step explanation:
a) set up a proportion:
5 = h
8 24
cross-multiply:
8h = 120
h = 15
b) x + 5 = x + 5 + 15
5x + 1 5x + 1 + 35
cross-multiply:
(x + 5)(5x + 36) = (5x + 1)(x + 20)
5[tex]x^{2}[/tex] + 61x + 180 = 5[tex]x^{2}[/tex] + 101x + 20
180 = 40x + 20
160 = 40x
x = 4
A group from school went on a field trip to visit the State Capitol. There were 61 total people. Approximately 15% of these adults. The rest were students. How many of the group was students?
Answer:
52 students or 51
Step-by-step explanation:
Please help!! Show your work!! Will mark brainliest!!
Answer:
17 degrees because 180-163=17
Step-by-step explanation:
let the picture be named as above picture:
angle D +163=180 (linear pair)
D=180-163
D=17⁰
Sum of exterior angle of polygon is 360⁰.
148+50+17+90+angleC=360
198+107+angleC=360
305+angleC=360
angleC=360-305
angleC=55⁰
-5x + y = 1
- 10x + 2y = -2
plz answer right this is the last math problem i have to do!
Answer:
-1 -y/5
Step-by-step explanation:
-5x + y = 1
Subtract yy from both sides.
-5x=1-y
−5x=1−y
2 Divide both sides by -5−5.
x=-\frac{1-y}{5}
x=−
5
1−y
-10x+2y=-2
Factor out the common term 22.
2(5x+y)=-2
2(5x+y)=−2
2 Divide both sides by 22.
5x+y=-1
5x+y=−1
3 Subtract yy from both sides.
5x=-1-y
5x=−1−y
4 Divide both sides by 55.
x=\frac{-1-y}{5}
x=
5
−1−y
HELP PLA I NEED HELP
x=20
x=5 root under 3
x=4 root under 2
What is the measure of
PLEASE HELP HURRY
Answer:
112.5°
in pretty sure that's the answer
What is the slope of a line perpendicular to the line whose equation is x−2y=12.
Answer:
-2/x
Step-by-step explanation:
simplified is y = -x/2 - 6
Perpendicular slopes are just reciprocals of the original slope, so just flipp the original slope around to be the complete opposite.
Example if slope= -2, the reciprocal= -1/2
Just flip the numerator with the denominator for perpendicular slope
The triangle shown is an equilateral triangle. An equilateral triangle has sides lengths a. What is the area of the equilateral triangle with the length of each side equal to a? One-half a sine (60 degrees) 3 a sine (60 degrees) One-half a squared sine (60 degrees) a squared sine (60 degrees)
Answer: its C
Step-by-step explanation:
The area of an equilateral triangle can be written as a squared sine (60 degrees) thus Option D is correct.
What is an equilateral triangle?The triangle in which all three sides are of the same length. In this the all angles are the same 60°.
The area of a triangle can be calculated by,
A = 1/2 x b x h..................1
Where,A - Area of triangle
b - base
h - height
From, Pythagoras Theorem
a² = h² + (a/2)²
h² = a² - (a/2)²
Put the value of “h” in equation 1
A = 1/2 x b x h
A = 1/2 x √[a² - (a/2)²] x h
A = √3/4 a²
Since √3/4 = sin 60°.
So, the area of an equilateral triangle as a squared sine (60 degrees).
Learn more about the equilateral triangle;
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Write an equation in slope-intercept form for the line that has a slope of 12 and passes through the point (3, 20).
Answer:
Step-by-step explanation:
It's a simple question as we know:
y-y1=m(x-x1)
y-20=12(x-3)
y=12x-36+20
y=12x-16
Now, your line is in slope intercept form you can compare it with
y=mx+c
m=12 and c=16. You can also put your point to verify your answer.
tamara has completed 60% of her practice time for the track meet. If she is expected to practice for 18h, how long has she already practiced?
Answer:
10h and 48min
Step-by-step explanation:
60*18=1080
1080/100=10.8
so 10.8h which means 10 hours and 48 min
Solve the following inequality.
8x-1<15
Answer:
x < 2
Step-by-step explanation:
I hope this help you
Evaluate the power.
0.4 2=____
Answer:
0.2
Step-by-step explanation:
Answer:
0.16
Step-by-step explanation:
PLEASE ANSWER I WILL MARK AS BRAINLIEST
The Bobcats football coach logged the following yardage gains and losses over four plays of a game.
Gain 25x yards.
Gain 0.9y yards.
Lose 12y yards.
Lose 5.2x yards.
What is the net yardage for these four plays?
Enter your answer as an expression, like this: 42x+53y
The expression to represent the net yardage is 30.5x+12.9y.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
Given that, gain 25x yards, gain 0.9y yards lose 12y yards and lose 5.2x yards.
Now, net yardage
= 25x+0.9y+12y+5.5x
= 30.5x+12.9y
Therefore, the expression to represent the net yardage is 30.5x+12.9y.
To learn more about an expression visit;
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Plz help!! Meera is researching cruising speeds of different planes. Which airplanes has a greater cruising speed?
Answer:
The one on the graph
Step-by-step explanation:
Solve 24≤−6t.
the solution is __
Answer:
t ≤ − 4
Step-by-step explanation:
Answer: t ≤ -4
Step-by-step explanation:
rearrange the problem 24-(-6*t)≤0 Pull out like factors :24 + 6t = 6 • (t + 4)
Divide both sides by 6 Subtract 4 from both sides t ≤ -4
find the angle p (add a explanation too)
Step 1: Find the sum of the interior angles
Use this formula: 180 x (n - 2)
n is the number of sides of the polygon
Work:
180 x (4 - 2)
180 x 2
360
Step 2: Find the angle right above the 94 degree angle
The entire angle (a circle) is equal to 360 degrees. To find the part we're looking for (inside of the polygon), we need to subtract the angle we already know from 360.
Work:
360 - 94
266
Step 3: Set up an equation to find the missing angle p
We now know every angle except p! And we know the sum of the interior angles. Knowing this information makes it really easy to set up an equation.
360 = 12 + 75 + 266 + p
360 = 353 + p
p = 7 degrees
Does this answer make sense?
Yes! Although the drawing may not be to scale, it is very possible that angle p could be 7 degrees because of how 12 degrees looks on this graph.
Hope this helps!! :)
PLEASEE HELP ASAP IM BEGGIMG YOUUUUUU
I WILL GIVE BRAINLIEST ASAP
Answer:
Below
Step-by-step explanation:
Problem 1
Blank 1 = 6
Blank 2 = 17
(5*3)+2
Blank 3 = 4
(4*1)
Problem 2
Blank 1= (-5)^3=-5*-5*-5=-125
Blank 2= 18
(6*3)
Blank 3= 12
(4*3)