Answer:
1479 minutes
Step-by-step explanation:
Given
Monthly Fee = $17
Charges per minute = $0.06
Least charge = $105.74
Required
Determine the possible number of minutes
Representing the number of minutes with m;
The inequality can be written as
[tex]17 + 0.06 * m \geq 105.75[/tex]
We're making use of [tex]\geq[/tex] because the question says the least which means his charges could be more
Solving the inequality
[tex]17 + 0.06 * m \geq 105.75[/tex]
[tex]17 + 0.06 m \geq 105.75[/tex]
Subtract 17 from both sides
[tex]17 -17+ 0.06 m \geq 105.75-17[/tex]
[tex]0.06 m \geq 105.75-17[/tex]
[tex]0.06 m \geq 88.75[/tex]
Divide both sides by 0.06
[tex]\frac{0.06 m}{0.06} \geq \frac{88.75}{0.06}[/tex]
[tex]m \geq \frac{88.75}{0.06}[/tex]
[tex]m \geq 1479.16666667[/tex]
[tex]m \geq 1479[/tex] (Approximated)
The possible number of minutes he has used his phone is at least 1479 minutes
What is the range of possible sizes for side x? _ < x < _
Answer:
2.8 < x < 5.8
Step-by-step explanation:
We must apply the Triangle Inequality Theorem which states that for any triangle with sides a, b, and c:
a + b > c
b + c > a
c + a > b
Here, let's arbitrarily denote a as 4.1, b as 1.3, and c as x. So, let's plug these values into the 3 inequalities listed above:
a + b > c ⇒ 4.1 + 1.3 > x ⇒ 5.8 > x
b + c > a ⇒ 1.3 + x > 4.1 ⇒ x > 2.8
c + a > b ⇒ x + 4.1 > 1.3 ⇒ x > -2.8
Look at the last two: clearly if x is greater than 2.8 (from the second one), then it will definitely be greater than -2.8 (from the third), so we can just disregard the last inequality.
Thus, the range of possible sizes for x are:
2.8 < x < 5.8
~ an aesthetics lover
Answer:
There are two cases: either x is the largest value or 4.1 is the largest value.
First case: x is largest so that means x < 4.1 + 1.3 which becomes x < 5.8
Second case: 4.1 is largest so that means x + 1.3 > 4.1 which becomes x > 2.8
Answer is 2.8 < x < 5.8.
8
Do not write
outside the
box
9
A company sells houses
The line graph shows the number sold per week for 30 weeks.
Houses sold
9
8
7
Number 6
of weeks 5
4
3
2
1
0
0
5
1 2 3 4
Number of houses
9 (a)
Work out the range of the number of houses sold per week.
[2 marks]
Why am I just finding this?
the ratio of the volumes of two similar solid polyhedra is equal to the square root of the ratios between their edges. True or False?
Answer:
False
Step-by-step explanation:
Did the quiz
Answer:
false
Step-by-step explanation:
calculate the length of the unknown side of this right angled triangle
Answer:
≈ 12.05
Step-by-step explanation:
Pythagora
x = √(9² + 8²)
= √(81 + 64)
= √145
≈ 12.05
Let f be defined as shown.
What is f^-1(1)?
Answer:
From the above image when the input of f(x) is 9 the output is 1
So f^-1(1) is just the reverse when the input is 1 the output is 9
So f^-1(1) = 9
Hope this helps
The temperature is 45F. The temperature will decrease by 2F each hour.
Answer:
D
Step-by-step explanation:
you invest $1000 in an account at 2.5% per year simple interest. How much will you have in the account at the beginning of the 4th year? Round your answer to the nearest whole dollar. A. $1075 B. $3250 C. $1088 D. $1163
Answer:
Step-by-step explanation:
I = PRT
P = 1000
R = 2.5% or 0.025
T = 4
I = (1000)(.025)(4)
I=100
1000+100=1100
but the answer choices???
Which of the following is a unit of measurement used in the apothecary system?
A. Meter
B. Micrograms
C. Liters
D. Drams
A certain drug is made from only two ingredients: compound A and compound B. There are 3 milliliters of compound A used for every 5 milliliters of compound B. If a chemist wants to make 576 milliliters of the drug, how many milliliters of compound A are needed?
Answer: 216 millilitres
Step-by-step explanation:
From the question, you are given that there are 3 milliliters of compound A used for every 5 milliliters of compound B. That means compound A and B are in ratio 3 to 5. That is,
A : B = 3 : 5
If a chemist wants to make 576 milliliters of the drug, then find the ratio of compound A.
To do that, first add the ratio of both together, 3 + 5 = 8
For compound A,
3/8 × 576
1728/8 = 216 millilitres
Therefore, 216 millilitres of compound A are needed.
You work summer construction, and your hours may vary depending on the weather. The following table provides the number of hours you worked each day for the past week. On average, how many hours did you work per day? Sun. Mon. Tues. Wed. Thurs. Fri. Sat. Hours 5.5 12 9.5 11 7 10 8 8 9 10.5 12.6 63
Answer:
9
Step-by-step explanation:
The average is just another word for mean. You get the mean by adding all the numbers in a data set and then dividing by the number you added.
30m + 45m = 150 pls help!
Answer:
m = 2
Step-by-step explanation:
30m + 45m = 150
75m = 150
m = 150/75
m =2
Answer:
m = 2
Step-by-step explanation:
30m + 45m = 150
75m =150
÷75 ÷75
m = 2
math question pls answer
Answer:
(a) 20.9 years.
(b) 34 years old.
Step-by-step explanation:
Well for part a, just multiply the ages by their respective frequencies, and add them and divide by 11. You would get 20.90909091, so the mean age is about 20.9.
For part b, there would be 12 players with a mean age of 22. Their ages would add up to be 12 * 22 = 264.
The original 11 players' ages add up to be 230. 264 - 230 = 34. So, the new player is 34 years old.
Hope this helps!
Find the area of the equilateral triangle
Answer:
Step-by-step explanation:
Suppose that the side length is s. Imagine that one side is level. Draw a vertical line through the top vertex perpendicular to the base (level side). Label this vertical line "h." Then h and s are related as follows:
√3 h
sin 60 degrees = ------- = --------
2 s
s√3
and so h = the height of the triangle = -----------
2
The area of this triangle is (1/2)(base)(height), which here is:
(1/2)(s/2)( s√3 /2), or
(s^2)√3
A = ---------------
8
What is the domain of this function
Answer:
Domain { -1,3,5}
Step-by-step explanation:
The domain is the input to the function
Domain { -1,3,5}
(-8,9);slope=-3/2 write the equation of the line
Answer:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
Equation of the line using point ( -8,9) and slope - 3/2 is
[tex]y - 9 = - \frac{3}{2} (x + 8) \\ \\ y - 9 = - \frac{3}{2} x - 12 \\ \\ y = - \frac{3}{2} x - 12 + 9 \\ \\ y = - \frac{3}{2} x - 3[/tex]
Hope this helps you
Answer:
y = -3/2x-3
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = -3/2x +b
Substitute the point into the equation
9 = -3/2 (-8) +b
9 = 12 +b
Subtract 12 from each side
9-12 =12-12+b
-3 =b
y = -3/2x-3
Convert the fraction 19/20 into a decimal
Step-by-step explanation:
19/20 in decimal form is 0.95
Answer:
0.95
Step-by-step explanation:
19 ÷ 20
Divide.
= 0.95
Fernando has 338 photographs. If he can fit 4 photographs per page in his photo album, how many photographs will be on the last page of the album if every other page is filled?
Answer:
2 photographs
Step-by-step explanation:
338 devided by 4 is 84.5, so then 4 x 84 is 336 leaving 2 photographs as the remainder
Answer:
2 photos on the last page
Step-by-step explanation:
Notice that 4 times 84 is 336, so in 84 pages he can get 336 photographs, there are just 2 left to complete the 338 he had. So the last page gets 2 photos.
y = f(x). Replace, in the following order: x with – 1/5x,
x, x with x – 1, and y with
1/3y. Describe the transformation in terms of the function and in terms of its effect on the graph.
Answer:
y = 3f(-1/5x + 1/5)
The function is
vertical stretched by a factor of 3reflected across y-axishorizontal stretched by a factor of 5horizontal translated to the left 1/5 unitsStep-by-step explanation:
Starting with: y = f(x)
Replacing x with -1/5x: y = f(-1/5x)
Replacing x with x - 1: y = f(-1/5(x - 1)) = f(-1/5x + 1/5)
Replacing y with 1/3y: 1/3y = f(-1/5x + 1/5) or y = 3f(-1/5x + 1/5)
The transformation:
kf(x) vertically stretches the function by a factor of k (here k is 3) f(-x) reflects the function across y-axisf(bx) horizontally stretches the function by a factor of 1/b (here b is 1/5)f(x + c) horizontally translates the function left c units (here c is 1/5 units)FInd the surface area of the triangular prism
Answer:
273.7
Step-by-step explanation:
first fine the sides that isn't the base.
triangle area formula: (b*h)/2
(14*9)/2 = 63
since there are 3 sides you multiply this by three.
63*3=189
then find the base.
same formula since its a triangle.
(12.1*14)/2 = 84.7
now add them both up:
84.7+189 = 273.7
hope this helps!
Answer:
273.7 mm²
Step-by-step explanation:
Area of base:
1/2*14*12.1= 84.7 mm²3 faces are same:
3*1/2*14*9= 189²Total:
84.7+189= 273.7 mm²What is the approximate length of the apothem? Round to the nearest tenth.
Answer:
of which apothem? Id be happy to help
Step-by-step explanation:
simplify the expression. y^2Y^3/y^Y-2 a y^5 b y^4 c y^3 s y^6
Answer:
I guess that the expression is:
(y^2*y^3)/(y*y^(-2))
remember this two relationships.
a^x*a^y = a^(x + y)
(a^x)/(a^y) = a^(x - y).
then we have:
y^2*y^3 = y(2 + 3) = y^5.
and
y*y^(-2) = y^(1 + (-2)) = y^-1
then our expression can be written as:
(y^2*y^3)/(y*y^(-2)) = y^5/y^(-1) = y^(5 - 1) = y^4.
Then the correct option is b: y^4
What fraction of the students are girls give your answer in its simplest form
Answer:
45% of students are female or 15/32
Step-by-step explanation:
We find out their is 72 Boys and 60 Girls
We add both together to get 132 Students
Then we divide to get our number/fraction
60/132 = 15/32 or 45%
MARK AS BRAINLIEST
Find The Area Of The Shape Shown Below
Answer:
32
Step-by-step explanation:
I proceeded to divide the shape up into 2 triangle and 1 square. The added sum of the 2 divided triangles is 16 and the square is 16. Add those to to get 32.
The following shape is a trapezoid
area formula:
A=
A=
A= (4)(12+4)
A= (4)(16)
A= (4)(16)
A= (64)
A=32
Also, is that Khan Academy?
Answer:
A=32
Step-by-step explanation:
The following shape is a trapezoid
area formula:
A=[tex]\frac{1}{2} h (b_{1} +b_{2} )[/tex]
[tex]b_{1} =12\\b_{2}=4 \\h=4[/tex]
A=[tex]\frac{1}{2} h (b_{1} +b_{2} )[/tex]
A= [tex]\frac{1}{2}[/tex](4)(12+4)
A= [tex]\frac{1}{2}[/tex](4)(16)
A= [tex]\frac{1}{2}[/tex](4)(16)
A= [tex]\frac{1}{2}[/tex](64)
A=32
I HOPE THIS HELPS YOU OUT:)
What should be subtracted from -5/4 to get -1? (i) -1/4 (ii) 1⁄4 (iii) 1 (iv) -3/4
Answer:
It's -1.
Step-by-step explanation:
-5/4 - (-1/4) = -1.
Answer:
Step-by-step explanation:
-1 - ( -5/4 )
= -1 + 5/4
1/4
Hope this helps
plz mark as brainliest!!!!
Lines L and M are parallel.
3
4
L
2
5
1
6
38
>M
7
Find : m25
Enter the number that
belongs in the green box.
o
?
Enter
Answer:
142
Step-by-step explanation:
∠2=38 ( corresponding angles)
definition: the angles which occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal.
sum of straight angle=180
∠5+∠2=180
∠5+38=180
∠5=180-38=142 degrees
Solve for x by finding the missing side of the triangle. Round your answer to the nearest tenth.
simplify 5/11 * -7/8 + 3/4 * 5/11 - 9/11 first one to answer gets brainliest and 5 star rating and a thanks
Answer:
The answer is
-7/8Step-by-step explanation:
We use BODMAS
5/11 * -7/8 + 3/4 * 5/11 - 9/11
Multiplication first
-35/88 + 15/44 - 9/11
Addition next
-35/88 + 15/44
LCM is 88
We have
[tex] - \frac{35}{88} + \frac{15}{44} = \frac{ - 35 + 30}{88} \\ = - \frac{5}{88} [/tex]
Next subtract the terms
That's
- 5/88 - 9/11
LCM is 88
We have the final answer as
[tex] - \frac{5}{88} - \frac{9}{11} = \frac{ - 5 - 72}{88} \\ = - \frac{77}{88} \\ = - \frac{7}{8} [/tex]
Hope this helps you
Analyze the diagram below and complete the instructions that follow.
Given that the two rectangular prisms are similar, find the scale factor and the ratio of their surface areas.
Step-by-step explanation:
[tex]scale \: factor = \frac{7}{28} = \frac{1}{4} \\ [/tex]
[tex] ratio \:of \:surface \:areas\\
=\frac{2[5\times 7 + 7\times 3+3\times 5]}{2[20\times 28+ 28\times 12+12\times 20] }\\\\
=\frac{[35 + 21+15]}{[560+ 336+240] }\\\\
=\frac{71}{1136}\\\\
=\frac{1}{16}\\\\
= 1\: :\: 16[/tex]
help will give brainliest
Answer:
C. (-5, -7)
Step-by-step explanation:
This is correct because the points in Q3 are all negative and C is the only one that contains both negative numbers!
PLEASE MARK BRAINIEST AND HOPE THIS HELPS!!
Answer:
Ans is C(-5, -7)
Step-by-step explanation:
We know that in first quadrant all are positive and in second x is negative and y is positive and in third all are negative ans in four x is positive and y is negative so according to c option it,s the only one that lie in third quadrant because it has both value negative
Find the area of a regular hexagon if given a side length of 1.9 to the square root of 3.
Answer:
28.137 sq. units.
Step-by-step explanation:
Area of a regular hexagon is
[tex]A=\dfrac{3\sqrt{3}}{2}a^2[/tex]
where, a is the side length.
It is given that the side length of the regular hexagon is [tex]1.9\sqrt{3}[/tex].
Substitute [tex]a=1.9\sqrt{3}[/tex] in the above formula.
[tex]A=\dfrac{3\sqrt{3}}{2}(1.9\sqrt{3})^2[/tex]
[tex]A=(1.5\sqrt{3})(10.83)[/tex]
[tex]A=16.245\sqrt{3}[/tex]
[tex]A=28.137[/tex]
Therefore, the area of regular hexagon is 28.137 sq. units.