Sean has $250 in his bank account. He deposits $35 from his birthday and then
buys clothes for school for $75. How much is in his account now?
Answer:
210 dollars left
Step-by-step explanation:
Answer:
he has 210 dollars left
Step-by-step explanation:
250+35=285
285-75=210
x – 2y = 1
2x + 3y = -12
Answer:
x= -3
y= -2
From the first one, if you add 2y to both sides you can plug that into the second one and solve for y. Then, plug y to the first one and solve for x.
examine the spinner at right. If the central angle of region A is 7 calculate the expected value of one spin.Round to the nearest hundredth..pls hurry
Answer:
The whole angle on a circle is equal to 360°.
This means that:
∠A + ∠B = 360°.
Here we know that ∠A = 7°
Then ∠B = 360° - 7° = 353°
Now, if the probability is evenly distributed for all the angles, then the probability that the spinner lands in A is equal to the quotient between the measure of the angle A, and the measure of the total circumference, this will be:
Pa = 7°/360° = 0.019
And the same for B:
Pb = 353°/360° = 0.981
Now, the expected value can be calculated as:
Ev = ∑xₙ*pₙ
Where xₙ is the event n, and pₙ is its probability.
Then:
x₁ = A = 100
p₁ = Pa = 0.019
x₂ = B = 2
p₂ = Pb = 0.981
The expected vale will be:
Ev = 100*0.019 + 2*0.981 = 3.862
Rounding to the nearest hundredth, the second digit after the decimal point, we have:
Ev = 3.86
Aubrey and Charlie are driving to a city that is 120 miles from their house. They have already traveled 20 miles, and they are driving at a constant rate of 50 mi/h. Part A Write the function that models their distance from home as a function of time. f(x) = x + Part B What is a reasonable domain for this situation? ≤ x ≤
their distance from home as a function of time
[tex]f(x)=50x+20[/tex]
The reasonable domain for this situation is
[tex]0\leq x\leq 2[/tex]
Given :
Aubrey and Charlie are driving to a city that is 120 miles from their house. They have already traveled 20 miles, and they are driving at a constant rate of 50 mi/h.
Given driving speed is 50 miles per hour
They already travelled 20 miles. We need to frame linear equation because we are given with constant rate.
Linear equation is [tex]f(x)=mx+b[/tex]
where m is the constant rate and b is the initial miles travelled
m=50 and b=20
the function f(x) is the distance from home
[tex]f(x)= 50x+20[/tex]
Now we find out the domain x. Given that they travelled 120 miles
so f(x) is 120
[tex]120=50x+20\\120-20=50x\\100=5x\\x=2[/tex]
Domain is the number of hours travelled
hours cannot be negative . So the domain x for this situation is
[tex]0\leq x\leq 2[/tex]
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Which expression is equivalent and why?
9514 1404 393
Answer:
C. 1.15x
Step-by-step explanation:
You are given the expression for the cost:
x + 0.15x
Combining like terms, this becomes ...
1.15x . . . . . matches choice C
Shown below are parallel lines n and p which are cut by transversals r and s which are perpendicular to each
other. Which of the following is the measure of 21?
(1) 51
(2) 64
(3) 72
(4) 102
will give brainliest asap!
Given the diagram given where lines n and p are parallel, and transversals r and s are perpendicular, the measure of angle 1 is: [tex]\mathbf{1) 51^{\circ}}[/tex]
The angle measure where two perpendicular lines intersect each other equals 90 degrees.
Therefore, the angle formed as shown in the figure attached, where transversals r and s meet = 90 degrees.
Since lines n and p are parallel lines, therefore:
[tex]m \angle 1 + 90 = 141[/tex] (alternate interior angles are equal)
Subtract 90 from each side[tex]m \angle 1 = 141 - 90\\\\\mathbf{m \angle 1 = 51^{\circ}}[/tex]
Therefore, given the diagram given where lines n and p are parallel, and transversals r and s are perpendicular, the measure of angle 1 is: [tex]\mathbf{1) 51^{\circ}}[/tex]
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(2,-4) is reflected across the x-axis. what are the coordinates of its image?
Answer:
(2, 4)
Step-by-step explanation:
When you reflect/flip over an axis, negate value of the opposite of it. Fox the X axis, negate the y value.
Answer:
(2,4)
Step-by-step explanation:
PLS ANSWER ASAP!!!!!
The temperature is dropping at a rate of 2.5 degrees for 4.25 hours. How much did the temperature change?
Group of answer choices
A.) -10.625 degrees
B.) -6.75 degrees
C.) 10.625 degrees
D.) 6.75 degrees
Answer:
A
Step-by-step explanation:
Answer:
The correct answer would be A.
Equation parallel y= -3 also passes through the point (2,5)
Answer:
When somethins is parallel it never crosses each other, this means the new equation has to have the same slope but, since y=-3 is a straight line we just have to make the new line also a straight line, maknig sure it passes through (2,5).
To do this make y equal the y-coordinate of the points it needs to pass through. This would make the answer y=5
Step-by-step explanation:
Janet can do a job in 3 hours, and Garry can do the same job in 2 hours. If Janet works for 1 hour before Garry comes to help, how long will it take them to do it together.
Answer:
48 minutes
Step-by-step explanation:
Given that:
Time taken by Janet = 3 hours
Janet's rate = 1/3 job / hour
Time taken by Garry = 2 hours
Garry's rate = 1/2
Rate of working together :
1/3 + 1/2 = (2 + 3) /6 = 5/6 job/hour
If Janet works for one hour before Garry joins ;
1/3 of the job has been done by Janet
1 - 1/3 = 2/3 of the job left
Hence to finish the job together, it will take :
Fraction of JOB left ÷ rate of working together
(2/3 ÷ 5/6)
= 2 /3 * 6/5
= 12 / 15
= 4 / 5 hours
To minutes
(4/5) * 60
= 240/5
= 48 minutes
Answer:
1 4/5
Step-by-step explanation:
Which situation is best expressed by the quantity -100?
O a child on the deck of a ship 100 feet above sea level
O a temperature reading of 100°F
O a dolphin swimming 100 feet below sea level
O a man swimming 100 feet in a pool
Answer:
a dolphin swimming 100 feet below sea level
Step-by-step explanation:
Plato
The temperature drops 2°F every hour. Make a table and write an equation to represent the total temperature drop over time.
At a candy store, you can buy pre-filled bags of candy that weigh 2 1/4 pounds for $8. At this same rate, how much would a 4 pound
bag of candy cost?
Answer:
$14.22Step-by-step explanation:
step one:
given data
we are told that 2 1/4( 2.25 pound) of candy cost $8
let us find the cost of 1 pound first
so
2.25 pound cost #8
1 pound will cost x
cross multiply
x=8/2.25
x=$3.55 for one pound.
step two:
Hence if 1 pound cost $3.55
4 pound will cost = 3.55*4= $14.22
Which expression can go in the blank to make the equation true? 60 – 31.2 + ? = 0 a. 60 – 31.2 b. -60 + (-31.2) c. 31.2 - 60 d. 60 - (- 31.2)
Answer:
(c) 31.2-60
Step-by-step explanation:
Given that
60 – 31.2 + ? = 0
[tex]\Rightarrow ?=31.2-60[/tex]
This is the same as the expression in option (c) 31.2-60.
Hence, option (c) is correct.
i think of a number add 3 to it and multiply the results by 6
Answer:45
Step-by-step explanation:
Answer:
43
Step-by-step explanation:
25+(3*6)=43
1. Mrs. Rutherford planted flowers in a rectangular garden. The width of the garden is (X-5) feet and the length of the garden is 2 feet longer than the width. Write an
expression for the area of the garden
Answer:
area = 2 + (x-5) * (x-5)
Step-by-step explanation:
area of a rectangle= length * width
length = 2 + (x-5)
width = x-5
Answer:
im not sure
Step-by-step explanation:
um work here
v
Which is smaller 21/32 5/8 3/4 11/16
Answer:
5/8 is the smallest
Step-by-step explanation:
21/32=.656
5/8=.625
3/4=.75
11/16=.687
What word phrases represent the expressions (2x+3) + 7 and 2x + (3+7)? Are the two expressions equivalent? Explain.
Answer:
yes
Step-by-step explanation:
the results are equivalent. because, the formula is: a + (b + c) = (a + b) + c
Francis has a large vegetable garden that covers 47 of her backyard. Her patio covers 13 of the yard, and the rest is grass. What portion of Francis’s yard is grass?
If someone can please answer this!!
52 /? = 20/100
what is the missing denominator???
Answer:
1140
Step-by-step explanation:
52/x=20/100
52(20)=100(x)
52(20) = 1040
100(x) = 100
1040+100= 1140
What are the equations of the lines with the given slope and y-intercept
1. Slope:2, y-intercept: -3
2. Slope: 4, y-intercept: -2
Answer:
1. y=2x-3
2. y=4x-2
Step-by-step explanation:
Write or describe the function that flips over the x-axis, shifts right .5
units, and up 12 units. *
A fair spinner has 9 equal sections: 3 red, 4 blue and 2 green. It is spun twice. What is the probability of getting not green then green?
F(x) = (4x–5)/6
Find the Inverse
Answer:
F^-1 (x) = 3x/2+5/4
Step-by-step explanation:
First, replace f(x) with y
Replace every x with a y and replace every y with an x .
Solve the equation from Step 2 for y
Replace y with f−1(x) f − 1 ( x )
Verify your work by checking that (f∘f−1)(x)=x ( f ∘ f − 1 ) ( x ) = x and (f−1∘f)(x)=x ( f − 1 ∘ f ) ( x ) = x are both true.
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A teacher divided 60 stickers among 3 students in a ratio of 2:3:5. How many stickers did each student receive?
Answer:
12:18:30
Step-by-step explanation:
I do RSM too, have a good day :)
The number of stickers did each student receive get is 12, 18 and 30 respectively.
Given that, a teacher divided 60 stickers among 3 students in a ratio of 2:3:5.
What is the ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Here, 2+3+5=10
Number of stickers student 1 get
= 2/10 × 60
= 12
Number of stickers student 2 get
= 3/10 × 60
= 18
Number of stickers student 3 get
= 5/10 × 60
= 30
Therefore, the number of stickers did each student receive get is 12, 18 and 30 respectively.
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Evaluate each expression when
a = 3 and b = 8.
Order the results from least to greatest.
5a - 6
b/2 + 4
ab - 17
6/a + b/4
b+1/a
a+1/4b
Answer :
a + 1/4b
6/a + b/4
ab- 17
b/2 + 4
b + 1/a
5a - 6
Step-by-step explanation:
5a - 6 = 9
b/2 + 4 = 8
ab - 17 = 7
6/a + b/4 = 4
b + 1/a = 8.5
a + 1/4b = 3.03125
You can use the expression 2e+2w to find the perimeter of a rectangle where e is the length and w is the width. Interpret the coefficients of the terms.
Answer: The coefficient of terms is 2 represents length of 2 equal and opposite sides of rectangle.
Step-by-step explanation:
A rectangle is a 4 sides closed quadrilateral where opposite sides are equal .
So , length of one pair of opposite is represented by 'l' [l= length]
Such that sum of these two sides = l+l=2l
The other pair of opposite sides s represented by 'w' [w= width]
Such that sum of these two sides = w+w=2w
Perimeter is the sum of sides.
So, perimeter of rectangle = 2l+2w.
The coefficient of terms is 2 represents length of 2 equal and opposite sides of rectangle.
Help plz:))) I’ll mark u brainliest
ASAP!!!
Answer:
isosceles
Step-by-step explanation:
the two bottom angles are equivalent
the top angle is different
two sides are also of equal length
In a survey 2800 people who owned a certain type of car, 1820 people said they would want to buy the type of car again. What percent of the people surveyed were satisfied with the car?
Answer:
65%
Step-by-step explanation:
1820/2800 percent.
(65%)
The unit rate declines on the of people satisfied/ the number of people total.
Hope this helps plz mark brainliest :D
Step-by-step explanation:
1820/2800
=65%
hope this may help you
I need help bad please anyone I need this
Answer:
The answer is A because 144 - 121 = 23 so
Step-by-step explanation:
because 144 - 121 = 23