Given that Angelo spends the same amount everyday from the amount in
the lunch card, the function of the amount remaining is a linear function.
The constant rate of change of the function is; -5.25The two ordered pair used to find the constant rate of change are; (1, 44.75) and (2, 39.5)Reasons:
The amount Angelo's mother put on the lunch card = $50
A possible table of values to the question is presented as follows;
[tex]\begin{tabular}{r|c|c|c|c|}Days&0&1&2&3\\Money Remaining&&44.75&39.5&\end{array}\right][/tex]
Required:
The constant rate of the function that gives the amount remaining from the
amount Angelo's mother put on his lunch card.
Solution:
[tex]Slope \ or \ constant \ rate \ of \ change = \mathbf{\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}}[/tex]The two ordered pair that can be used to find the slope or constant rate of change are;
(x₁, y₁) = (1, 44.75), and (x₂, y₂) = (2, 39.5)
With the above two ordered pairs, we have the constant rate of change of the function given as follows;
[tex]Constant \ rate \ of \ change\ (The \ slope) =\dfrac{39.5-44.75}{2-1} = \mathbf{ -5.25}[/tex]
The constant rate of change for the function that gives the amount remaining in the lunch card is; -5.25
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Consider the line y=-5/4x + 5
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?
Answer:5
Step-by-step explanation:
Ashley and Christopher want to camp on the other side of a lake at point B. They are both going to kayak to the campsite from their homes. Ashley lives at point A and is kayaking from point A to point B. Christopher lives at point C and is kayaking from point C to point B. Based on the picture below, Ashley will kayak ___ miles more than Christopher. 0.5 mi, 1.5 mi, 2.5 mi, 3.0 mi. Please help!
Applying the midsegment theorem, the distant Ashley will kayak more than Christopher is: 0.5 mi
Recall:
The midsegment of a triangle joins two sides of a triangle at their midpoint.The third side is the base of the triangle.Triangles have three midsegments.Based on the midsegment theorem, the length of the midsegment = ½(third side).The picture given shows a triangle with two midsegments: AB and BC
AB = the distance Ashley will kayak.
BC = the distance Christopher will kayak.
XY = 5 mi (base)
XZ = 6 mi (base)
Applying the midsegment theorem, find AB and BC.
AB = ½(XZ)
SubstituteAB = ½(6)
AB = 3 mi
BC = ½(XY)
SubstituteBC = ½(5)
BC = 2.5 mi
Thus, the distance Ashley will kayak more than Christopher = AB - BC
= 3 mi - 2.5 = 0.5 mi.
Therefore, applying the midsegment theorem, the distant Ashley will kayak more than Christopher is: 0.5 mi
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Figure A is a scale image of Figure B.
30
2
Figure A
25
Figure B
10
What is the value of x?
Answer:
12
Because:
30 is to 25 as x is to 10.
As an equation: 30/25 = x/10
Do this equation by: look at image
Question 1 of 10
In order to solve the following system of equations by addition, which of the
following could you do before adding the equations so that one variable will
be eliminated when you add them?
2x - 4y= 5
6x – 3y=10
O A. Multiply the top equation by 3 and the bottom equation by 4.
B. Multiply the top equation by-3 and the bottom equation by 2.
ООО
C. Multiply the top equation by-2.
D. Multiply the top equation by-3.
Answer:
D.
Step-by-step explanation:
Solve the system of equations.
fequations with
on: potato chips
15x + 3y = -3
equations with
n: -3x-4y=-2 &
2 = -y +3
2=
stems of
with
Y =
Answer:
y = - 3, x = 6
Step-by-step explanation:
15x + 31y = - 3
x = - y + 3
15(- y + 3) + 31y = - 3
-15y + 45 + 31y = - 3
16y + 45 = - 3
16y = - 48
y = - 3
x = - (- 3) + 3
x = 3 + 3
x = 6
Answer:
x = 6, y = -3.
Step-by-step explanation:
15x + 31y = -3
x = -y + 3
Substitute x = -y + 3 in the first equation:
15(-y + 3) + 31y = -3
-15y + 45 + 31y = -3
16y = -3 - 45 =-48
y = -3.
So x = -(-3) + 3 = 6.
About how many years would it take you to earn $1000 simple
interest on an investment of $800 at 9% annual interest?
A)
8
B)
10
C)
12
D)
14
Ratios and Proportional Relationships
(ZRP 3) Solve Problems
ID: 478033
Hint
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14 year it would take to earn $1000 simple interest on an investment of $800 at 9% annual interest.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Let the number of years be represented as T
Now , the equation will be
The simple interest I = $ 1000
The rate of interest R = 9 %
The principal amount P = $ 800
Simple Interest = ( Principal Amount x Rate x Time Period ) / 100
Substituting the values in the equation , we get
1000 = ( 800 x 9 x T ) / 100
On simplifying the equation , we get
72T = 1000
Divide by 72 on both sides of the equation , we get
T = 13.89 years
Therefore , the number of years is approximated to 14 years
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if f(x) = 2x-7 and g(x)= x2-5, find g[f(5)]
Answer:
4x-12
Step-by-step explanation:
2x-5[2x-7(5)}=2x+2x-7-5
4x-12
negative integers are added to each other
If sine theta almost-equals 0.3090 , what is the approximate value of csc Theta?
0.5559
1.3090
3.2362
10.4733
Step-by-step explanation:
csc(Theta) = 1/sin(Theta) = 3.2362
Answer:
C. 3.2362
Explanation:
A community hall is in the shape of a cuboid.
The hall is 20m long, 15m wide, and 4m high.
Answer:
The total paint cost is £380. The total tiles cost is £1800. The total cost is £2180.
Step-by-step explanation:
To know the cost, you need to calculate the area of the community hall.
Area of the ceiling/floor: 40m x 15m = 600m2So together, their area is 1200m2.
Area of the small walls of the community hall: 15m x 3m = 45m2/each wallTogether the two walls have an area of 90m2
Area of the big walls of the community hall: 40m x 3m = 120mTogether the two big walls have an area of 240m2
So, therefore, the total area of the community hall: 1530m2Painting:
They are going to paint the walls and the ceiling and each 10L tin covers 25m2 so:
Area of the walls and ceiling = 600m2 + 90m2 + 240m2 = 930m2
930m2 ÷ 25m2 = 37.5 tins. Since you can't have half a tin, they will need 38 10L tins.
38 x £10 = £380
Floor:
1m2 floor tiles costs £3 so 600m2 x £3 = £1800
Total:
£1800 + £380 = £2180
The neon lights on the dance club sign blink 240 times in 2 minutes. How many times does the neon sign blink in 10 minutes?
Answer:
1200 times in 10 minutes.
Step-by-step explanation:
There's 5 amounts of 2 minutes in 10.
Therefore multiply 240 by 5.
24 x 5 = 120 x 10 = 1200 times.
Answer:
If it blinks 240 times in 2 minutes, then you need to multiply 240 and 5. My work is shown below...
2 = 240
2 x 5 = 10
5 x 240 = 1200
This means the neon sign blinks 1200 times every 10 minutes.
Step-by-step explanation:
Have a great day and please mark brainliest!
Help please I’ll give Brainly please answer both I’ll give 5 stars and lines
Answer:
I really cant see the picture that well or, i would help.
Step-by-step explanation:
Harriet and tom run and walk, respectively, a 12 mile course
they both want to finish the course together at the same time
tom sets off at 8:15
am and walks at a constant speed of 4 mph
Given that Harriet runs at a constant speed of 8 mph, at what time should she set off
Answer:
t = S / v time = distance / speed
For Tom t = 12 m / 4 mph = 3 hours to cover course
Tom will finish at 8:13 + 3 = 11:15
th = 12 m / 8mph = 1.5 hours to cover course
11:15 - 1.5 = 9:45 time Harriet should start to finish in 1.5 hours
Calculate the volume of cylinders with the following dimensions ( 22/7).
(b) Diameter of the base = 84 cm, height = 1.5 m
Step-by-step explanation:
Volume of a cylinder=
[tex]\pi \: {r}^{2} h[/tex]
Radius=84÷2=42
Volume=22/7×42²×150=831 600 cm³
Multiplied by 3/4 and then divided by 3/5 is the same as dividing by what?
Please explain step by step
We have: x × [tex]\frac{3}{4}[/tex] ÷ [tex]\frac{3}{5}[/tex] = x × [tex]\frac{3}{4}[/tex] × [tex]\frac{5}{3}[/tex] = x × [tex]\frac{5}{4}[/tex] = x ÷ [tex]\frac{4}{5}[/tex]
ANSWER: E. 4/5
Ok done. Thank to me :>
18. The angle measures of a triangle are shown in the diagram. What is the value of x?
3x + 8
84
43
Answer:
15
Step-by-step explanation:
3x + 8 + 84 + 43 = 180
3x + 135 = 180
3x = 45
x = 15
Write an algebraic expression that corresponds to "the opposite of a number "
Answer:
-n
Step-by-step explanation:
If n represents "a number", then the opposite of the number is ...
-n
__
Examples:
The opposite of -3 is -(-3) = 3. The opposite of 10 is -10.
༒Question༒
REFER TO ATTACHMENT
NONSENSE ANSWER WILL GET REPORT
Ur answer sir :)
1) 6⁴
2) t²
3) b⁴
4) 5²× 7³
5) 2²× a²
6)a³× c⁴× d
I HOPE IT IS HELPFULDivide: (3x³+4x+11)/(x²-3x+2)
In attachment I have answered this problem.
What is the measure of the angle mentioned in the picture below:
In the figure below, what is the measure of
70deg
125deg
55deg
180deg
Answer:
70
Step-by-step explanation:
since the left and right sides are equal length the left and right angles are 55 degrees. and since a triangle adds up to 180 degrees
180-55-55 = 70
I think you can also use sin cos tan to solve this but this way is much easier
Shivani had 3/10 of a pound of blueberries. Shivani let her friend Rosa eat 1/4 of the
blueberries. How many pounds of blueberries did Rosa eat?
Write your answer as a fraction or as a whole or mixed number.
a
pounds
Can someone help me solve this question
Answer:
Step-by-step explanation:
Choosing a white pen from box a
What is the equation for the line described in #9And #10?
Answer: it is definitely c. y=3x+2
Step-by-step explanation: solve the first equation and then plug in
what is the measure of ∠x?
From figure we have , ∠GFH = 80° and ∠HGF = 60° , ∠GFH = 40° and ∠GFE = x°
Now,
In ∆HGF
Since Sum of the angles of a triangle is 180° :
∠GFH + ∠HGF + ∠GFH = 180°
80° + 60° + 40° = 180°
14° + 40° = 180°
54° = 180° ………..(1)
∠GFH + ∠GFE = 180° [Linear pair]
80° + x° = 180°
x° = 180°-80°
x° = 100°
Hence the value of ∠x is 100°
Among the given options option (D) 100° is correct.
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Solve the system by graphing. Y=2x-9 y=-2x-1
Answer:
(2,-5)
Step-by-step explanation:
See attachment
One can also solve this by calculation:
y=2x-9
y=-2x-1
-
Rearrange either equation to find x. I'll use the first:
y=2x-9
2x = y+9
x = (y+9)/2
Now use this value of x in the second equation:
y = -2x-1
y =-2((y+9)/2)-1
y = (-2y-18)/2)-1
y = -y -9 - 1
2y = -10
y = -5
Now use -5 for y in the rearranged equation:
y = -2x-1
-5 = -2x-1
-2x = -4
x = 2
Solution is (2,-5)
But the question wants a graph solution, which is also fun when you use DESMOS.
Find the total surface of :
Answer:
=2112cm²
Step-by-step explanation:
radius=14cm
height=10cm,
Curved surface area of cylinder=2πrh
=2×22÷7×14×10
=880cm²
Base area of cylinder=πr²
=22÷7×14×14
=616cm
Whole surface area of cylinder=2πr(r+h)
=2×22÷7×14(14+10)
=2×22÷7×14(24)
How many angles are formed with a pair of parallel lines and a transversal
Answer:
what i learned was 8 are formed
Step-by-step explanation:
(I need these answered fast and with work and explanation)
A)What is the conditional probability of being on the marching band, given that you know
the student plays a team sport? Show your work.
b. What is the probability of being on the marching band, and how is this different from part
(a)? Explain completely.
C.
Are the two events, {on the marching band) and {on a team sport} associated? Use
probabilities to explain why or why not.
Answer:
most I know I don't know and I don't want to know
what is the rectangular cross hatch chart used for eye test called
Two forces of 100 Newtons and 25 Newtons
act concurrently on an object. These two forces
could have a resultant force of
A) 0 N
B) 50 N
C) 100 N
D) 150 N
Answer:
100 N
Step-by-step explanation:
Use Pythagorean Theorm to solve:
a2 + b2 = c2
(100)2 + (25)2 = c2
10000 + 625 = c2
10625
Take the square root
c2= 100N
Your Answer: 100 N
A 24 foot flagpole casts a 20 foot shadow of the building next to it is an 85 foot shadow find the height of the building
Answer: 102 foot / feet tall
Step-by-step explanation:
First, we have to find the unit rate . . . what is 24 divided by 20 ? 1.2/1
Second, multiply . . . what is 1.2 x 85 ? 102
( sorry if this is wrong - I forgot how to do the second part for a sec )