Answer:
Equation is: x+15.27 = 72.50Solution to that equation: x = 57.23Interpretation: Last month's phone bill was $57.23========================================================
Explanation:
We'll make x the value of last month's phone bill. So if lets say x = 50, this means that last month's phone bill was $50. We don't know yet if x = 50 is the actual solution or not.
We're told that "This month's cell phone bill was for $15.27 more than last month's cell phone bill". This means this month's bill, in terms of x, is x+15.27 dollars. Whatever x is, we add 15.27 onto it getting this month's bill. This works because x is really a placeholder for a number.
Going back to x = 50, that would mean this months bill is x+15.27 = 50+15.27 = 65.27 dollars. We can see that we don't reach 72.50 that we're told the current months bill actually is. Since we don't have a match, this means x = 50 is too small. We can guess and check our way to hopefully land on the answer. However, using algebra is the most efficient method.
----------
The equation we need to solve is: x+15.27 = 72.50
This is because x+15.27 represents this month's bill and so does the 72.50, as your teacher gave in the instructions.
To solve this equation, we'll undo the "plus 15.27" to isolate x fully. The opposite of addition is subtraction. We'll subtract 15.27 from both sides
x+15.27 = 72.50
x+15.27-15.27 = 72.50-15.27
x = 57.23
Last month's phone bill was $57.23
As a check, adding 15.27 onto last month's bill should get us to 72.50
x+15.27 = 57.23+15.27 = 72.50
It works out, so we've confirmed the answer.
Angles A and B are complementary. What is mB if mA = 5°?
A. mB = 175°
B. mB = 90°
C. mB = 85°
D. mB = 45°
Answer:
c. mB= 85 degrees
Step-by-step explanation:
complementary equals to 90 degrees. so 90-5=85
Answer:
The answer is C.
Step-by-step explanation:
At a summer camo 23 of the boys and 17 of the girls can swim. There are 9 boys and 11 girls at the camp who cannot swim. What is the ratio of the number of children who can swim to the number of children who cannot swim
Answer:The ratio of the number of children who can swim to the number of children who cannot swim=2:1
Step-by-step explanation:
Number of children that can swim = N umber of boys and girls that can swim =23+17 =40
Number of children that cannot swim = N umber of boys and girls that cannot swim=9+11=20
=40:20
=2:1
What is one point that lies in the solution set of the system of inequalitie:
grарhеd below? *
(70)
(3.0)
Ооос
(07)
Answer:
B)(3,0)since you can clearly see that the system of inequality intercept at (3,0) coordinatestherefore our answer is BWrite 7x2 − 4 + 6x3 − 4x − x4 in standard form. Group of answer choices −4+63+72−4−4 4+63+72+4+4 72+63−4−4−4 72+63−4−4−4
Answer:
7x^2+4+6x^3-4x-x^4
Step-by-step explanation: can you tell me what you mean by the second
part or post a picture plz. so I can help.
Please help !!
I need it as fast as posible! Maya is taking a trip to the mall to purchase some new clothes. She
can afford spending up to $180. If she wants to buy a pair of shoes
that cost $49.50 and a variety of shirts that cost $22.99 each, how
many shirts can Maya afford?
Here a photo
All you have to do is find the area I have been stuck for 10 mins
Answer:
21.6 ft^2 (square feet)
solve for x: x²+7x+45=0
Answer: x= -[tex]\frac{7-i\sqrt{131} }{2}[/tex],-[tex]\frac{7+i\sqrt{131} }{2}[/tex]
Step-by-step explanation:
Solve the equation by finding x, a, b, and c of the quadratic, then apply the quadratic formula.
A vacation resort offers surfing lessons and parasailing. If a
person takes a surfing lesson and goes parasailing, she will pay
a total of $175. On Friday, the resort collects a total of $3,101 for
activities. How much does each activity cost?
After solving the equations, the cost of parasailing will be 99.75 and the cost of surfing will be equal to 75.25.
What is an Expression?Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both.
Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.
The given information in the question is,
Assume the cost of parasailing is x and the cost of surfing is y.
x + y = 175
Total number of people in Parasailing = 16 people
Total number of people in Surfing = 20 people
Total collection done by resort = $3,101
16x + 20y = 3,101
So, the equations will be,
16x+20y=3,101 (i)
x + y = 175 (ii)
Now, multiply the equation (ii) by 16 and solve the equation,
16x+20y=3,101
16x+16y= 2,800
4y = 301
Now, find the value of y,
y = 301/4
y = 75.25
Then, the value of x will be equal to,
x + y = 175
x+75.25 =175
Solve for x:
x=175-72.25
x = 99.75
To know more about expression:
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It seems that your question is not complete, the complete question should be:
A vacation resort offers surfing lessons and parasailing. If a person takes a surfing lesson and goes parasailing, she will pay $175. There are 16 people who go parasailing and 20 people who take surfing lessons. On a Friday, the resort collects a total of $3,101 for activities. How much does each activity cost?
The mean number of minutes spent on a
treadmill at the local gym is 28 minutes with a
standard deviation of 8. If Kurt's z-score is
1.75, how much time did he spent on the
treadmill?
Answer:
With a z score of 1.75, mean of 28 and standard deviation of 8
1.75=(Xi-28)/8
14=(Xi-28)
42 = Xi
Kurt was on the treadmill for 42 minutes
Step-by-step explanation:
A w=-8
B w=-5
C w=5
D w=8
Answer:
D
Step-by-step explanation:
Plug in every scenario, in see if it equal to each other.
D is the only one that is equal.
Hi I need help please
Answer:
x = 9
Step-by-step explanation:
8x - 10 = 62
8x = 72
x = 9
An online pet store offers the hamster house shown in the figure below. Choose all of the expressions that could be used to find the volume of the hamster house. A solid shape is shown; two rectangular prisms are attached. The total length of the shape is 6 feet. One rectangular prism has a length of 1 foot, width of 3 feet and height of 4 feet. The second rectangular prism has a length as 6 feet, width as 3 feet and height as 2 feet. A. ( 1 × 3 × 4 ) + ( 2 × 5 × 3 ) B. ( 1 × 3 ) + ( 4 × 2 ) + ( 5 × 3 ) C. ( 1 × 3 × 2 ) + ( 6 × 3 × 2 ) D. 3 × ( 1 + 4 ) + 2 × ( 5 + 3 ) E. ( 3 × 4 ) + 1 × ( 2 × 5 ) + 3
Answer:
Its E.(3 × 4) + 1 × (2 × 5) + 3.
All the correct expressions that could be used to find the volume of the hamster house are,
⇒ (1 × 3 × 4) + (6 × 3 × 2)
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Given that;
One rectangular prism has a length of 1 foot, width of 3 feet and height of 4 feet.
And, The second rectangular prism has a length as 6 feet, width as 3 feet and height as 2 feet.
Hence, Volume of first rectangular prism is,
⇒ 1 × 3 × 4
And, Volume of second rectangular prism is,
⇒ 6 × 3 × 2
Thus, All the correct expressions that could be used to find the volume of the hamster house are,
⇒ (1 × 3 × 4) + (6 × 3 × 2)
Learn more about the rectangle visit:
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Is r<23 true or false
Answer:
Step-by-step explanation:
True
For a sample size of 120 and a population parameter of 0.4, what is the standard deviation of the normal curve that can be used to approximate the binomial probability histogram?
Is v = 12 a solution to the inequality below?
V> 7
Answer: Yes
Step-by-step explanation: If V=12
Then we plug in for the inequality and get 12>7
2) Solve the system of equations using substitution.
2x – 9y = 14
x= -6y +7
Answer:
(7,0) ---> (x = 7) and (y = 0)
Step-by-step explanation:
2x – 9y = 14
x= -6y +7 <-- (Substitute for x to above equation)
---------------------------------------------------------------------------------------------------------
2(-6y +7)– 9y = 14
-12y + 14 - 9y = 14 <-- combine like terms
-21y + 14 = 14
-14 = -14 <-- inverse operation on both sides
-21y = 0 <-- Divide
y = 0 <--- Substitute for y to get x ↓
-------------------------------------------------------------------------------------------------------
2x – 9y = 14
2x – 9(0) = 14 <-- Substituted y from above
2x = 14 <-- Divide
x = 7
A square has an area of 4 square centimeters. What is the length of one side, in centimeters?
Answer:
2 cm
Step-by-step explanation:
[tex]\sqrt{4 cm^{2}} =2 cm[/tex]
30 points for RIGHT ANSWER
An airplane is flying at 450 miles per hour. How many yards does the airplane fly in 30 min?
Answer:
the plane flies 396,000yd in 30 min
Step-by-step explanation:
450 / 2 = 225
1 mile = 1,760
225 * 1,760 = 396,000 yd
Plz mark as brainliest if this helped! Have a nice day!!!
-Lil_G
Step-by-step explanation:
450 miles = 1hour = 60mins
X miles = 30mins
cross multiply
450 × 30 = 60 × X
13500 = 60X
divide through by 60
225 = X
therefore, X = 225miles
now
1 mile= 1760 yards
225 miles = X
cross multiply
X = 1760 ×225
X = 396000 yards
Does this graph show a function? Explain how you know.
Answer:
C
Step-by-step explanation:
It passes the vertical line test
the vertical line test is taking a vertical line and putting it anywhere on the graph, and if it passes 2 points, it fails, and since if you put the line anywhere, it only passes one point of the parabala, so it passes the line test
Answer: C
Step-by-step explanation: The easiest way to determine if a
relation is a function is to use the vertical line test.
The vertical line test tells us that if we can draw a vertical line
that intersects more than one point on the graph of a relation,
then the relation is not a function.
However, in this case, notice that there is no way to draw a
vertical line that intersects more than one point on the graph.
Therefore, this relation must be a function.
Tony Stark earns 8% commission for every repulsor he sells. How much commission would Mr. Stark make on sales of $32,000,000?
Which type of transformation is shown in the graph
A)reflection
B)rotation
C)translation
D)dilation
Answer:
C. Translation
Step-by-step explanation:
This is because the triangle is still in the same position, however, it has been shifted to the right five and up two.
Hope this helps!
All the love, Ya boi Fraser :)
The isotope Herodium-100 decreases by half every minute, Herodium-100 is there
isotope that gives a super hero their strength. Once the amount depletes to 4 ml, a
superhero becomes tired and need to leave the fight. If Mathman has 2000mL in his
body, when will he have to rest and replenish, rounded to the nearest minute?
Answer:
After about 9 minutes.
Step-by-step explanation:
We can write an exponential function to model the decay of Herodium-100.
We are given that it decreases by half every minute.
The standard exponential function is given by:
[tex]f(m)=A(r)^m[/tex]
Where A is the initial amount, r is the rate, and m is the rate (in this case, in minutes).
Mathman initially has 2000 mL of Herodium-100. Therefore, A = 2000.
And since it decreases by half every minute, r = 1/2. Thus:
[tex]\displaystyle f(m)=2000\Big(\frac{1}{2}\Big)^m[/tex]
Mathman needs to rest when the Herodium-100 levels drop to 4 mL. Therefore, we can substitute 4 for f(m) and solve for m:
[tex]\displaystyle 4=2000\Big(\frac{1}{2}\Big)^m[/tex]
Solve for m. Divide both sides by 2000:
[tex]\displaystyle \frac{4}{2000}=\frac{1}{500}=\Big(\frac{1}{2}\Big)^m[/tex]
We can take the natural log of both sides:
[tex]\displaystyle \ln\Big(\frac{1}{500}\Big)=\ln\Big(\frac{1}{2}^m\Big)[/tex]
By logarithm properties:
[tex]\displaystyle \ln\Big(\frac{1}{500}\Big)=m\ln\Big(\frac{1}{2}\Big)[/tex]
Therefore:
[tex]\displaystyle m=\frac{\ln(1/500)}{\ln(1/2)}\approx 8.9657\approx 9\text{ minutes}[/tex]
Mathman will have to rest and replenish after 9 minutes.
Help ASAP I’ll mark you as brainlister
Answer:
Step-by-step explanation:
1. I can't see the first one very well.
2. Find the area of each triangle by doing 1/2 * base * height. This should give you [tex]40m^{2}[/tex]
3. The area of a trapezium is [tex]\frac{1}{2} (a+b)h[/tex] where a is the top edge, b is the bottom edge and h is the height.
We can work out the bottom edge using pythagoras - split the trapezium into 2 triangles on each side and a rectangle in the middle. This gives you the length of the bottom edge which is 2 + 2 + 2 = 6'
Work out the area by doing 1/2(2+6)4 = 16' squared.
4.Split this shape into a triangle and rectangle. We know the right hand edge of the triangle= 9-4 = 5'.
To find the bottom edge of the triangle, use tanθ=opposite/adjacent line. Therefore tan45=bottom edge of triangle/5'. tan 45=1 therefore bottom edge = 5'.
The bottom edge of triangle gives us the height; use 1/2(a+b)h to work out the area of the trapezium. 1/2(4+9)5 = 32.5' squared
What must be true about segment MN?
Answer:
The true properties of segment MN are;
1) MN is parallel to CB
2) MN = 2
Step-by-step explanation:
From the figure, we have;
The length of segment AN = 1
The length of segment NC = 2 = 2 × The length of segment AN
The length of segment AM = 1.8
The length of segment MB = 3.6 = 2 × The length of segment AM
The length of segment AC = 1 + 2 = 3
The length of segment AB = 1.8 + 3.6 = 5.4
Therefore, the length of transversal segments AC and AB are proportionally cut by the two lines, MN and CB
By the triangle proportionality theorem, two transversals are proportionally divided when they are crossed by two or more parallel lines
1) Therefore, lines MN and CB are parallel lines
Whereby we have that MN CB, we get;
ΔAMN ~ ΔABC
Therefore;
AN/AC = MN/CB
Plugging in the values, we get;
1/3 = MN/6
NM = 6 × 1/3 = 2
2) MN = 2
The length of segment CB = 6
Therefore, what must about segment MN are;
MN is parallel to CB and MN = 2.
By applying properties of similar triangles we got that MN is equal to 2 units.
What are similar triangles ?Triangles whose shape are same are known as similar triangle .
In the given figure we can see that
in triangle ABC and AMN
AN=1
NC=2
So AC= AN+NC=1+2=3
AM=1.8
MB=3.6
So AB=AM+MB=5.4
[tex]\frac{AN}{NC}=\frac{1}{3} \\\\[/tex]
and
[tex]\frac{AM}{AB} =\frac{1.8}{5.4}=\frac{1}{3}[/tex]
And angle A is common in both triangles
Hence by SAS property triangle ABC and AMN are similar .
So
[tex]\frac{MN}{CB}=\frac{1}{3} \\\\\\\\\frac{MN}{6}=\frac{1}{3} \\\\\\\\MN=2[/tex]
By applying properties of similar triangles we got that MN is equal to 2 units.
To learn more about similar triangles visit:https://brainly.com/question/2644832
Help!!!!!!!!!!!!!!!!!?!?!??!!
Answer:
B
Step-by-step explanation:
I learned this a while ago, if you have the < symbol then you shade below the dotted line. You can get the rest.
Solve for x- round to the nearest tenth- Trigonometry
Answer:
sin26=11/X
0.438371146789×x=11
X. = 11/0.438371146789
X=25.09289235975
I NEED HELP ASP. IT IS SO HARD
Answer:
b
Step-by-step explanation:
State whether or not each equation or situation represents direct variation.
give me time will think and say
Answer:
The new Yorker is a very different kind than the word
Which expressions are equivalent to the one below? Check all that apply. 49^x
Answer:
A,D,F
Step-by-step explanation:
Answer:
7^x•7^x, (7•7)^x, 7^2x
Step-by-step explanation:
Just took it, the other one is wrong