Harrison pays $22.36 each month for his phone bill.
He also pays an extra $4.73 each time he makes a
long-distance call. Harrison paid a total of $64.93
for his phone bill last month. Write an equation to
find how many long-distance calls he made.
22.36 + 4.73c = 64.93
Solve the equation:
C
= [?]
Answers
Answer:
9
Step-by-step explanation:
64.93-22.36=42.57
42.57/4.73=9
Related Questions
Solve 2(x + 7) - 4 = 24
Answers
1) In this expression, we'll need to distribute factor 2 over the terms within the parentheses.
2) So, let's distribute that (also known by the acronym FOIL).
\(\begin{gathered} 2(x+7)-4=24 \\ 2x+14-4=24 \\ 2x+10=24 \\ 2x=24-10 \\ 2x=14 \\ \frac{2x}{2}=\frac{14}{2} \\ x=7 \end{gathered}\)3) Thus the answer is x=7
Find the mean, median, mode, and range of the data set: 8, 6, 7, 5, 6, 2, 5, 9, 9, 4, 5 mean = ____ median = ______ mode = ____ range = ______
Answers
Mode : 5 ( most repeated number)
Range : 7 (largest number-smallest number)
1
-
A pump drains 80 liters from
a pool every hour. How much
water does the pump drain in
3 hours?
6
Answers
Answer:
240 liters
Step-by-step explanation:
because 80 times 3 is 240 because if you add 80 3 times it is 240 liters
can anyone help me ??? pleassee on both of em
Answers
Answer:
28. B
29. D
30. A
Step-by-step explanation:
28.
2 5/8 yd × 5/6 yd =
= 21/8 × 5/6 yd²
= 105/48 yd²
= 35/16 yd²
= 2 3/16 yd²
Answer: B
29.
2641 becomes 6241.
In 6241, the 6 is in the thousands place.
6 × 1000 = 6000
Answer: D
30.
90 + 7 × (7 - 1) =
Use the correct order of operations.
= 90 + 7 × 6
= 90 + 42
= 132
Answer: A
Select all expressions that represent a correct solution to the equation 6(x + 4) = 20.
Answers
Step-by-step explanation:
6(x + 4) = 20
6x + 24 = 20
6x = 20 - 24
6x = -4
x = -4/6
x = -2/3
Answer:
⅔
Step-by-step explanation:
6(x + 4) = 20
(6 . x) + (6 . 4) = 20
6x + 24 = 20
6x = 20 - 24
6x = (-4)
x = (-4)/6
x = - ⅔
translate the sum of x and one half of x into a mathematical expression
Answers
Answer:
The above statement is written as
\(x + 1 \times \frac{1}{2} of \: x\)
of means multiplication
So the final answer is
\(x + \frac{3}{2} x\)
Hope this helps you.
Which describes the correlation shown in the scatterplot?
Answers
Answer:
There is no positive or negative correlation
Step-by-step explanation:
the x-values are increasing but the y-values are staying the same so if you drew a line through correlation... the slope would be around 0
Simplify the equation 3x-4+2=-2x-5+5x Down to its simplest form do not solve the equation
NEED THIS BEFORE 11:59 TODAY!!!
Answers
Answer:
the answer is 6x-7
Step-by-step explanation:
3x-4+2-2x-5+5x
3x-7-2x+5x
3x-7-2x+5x=
6x-7
3x-2=3x-5
3x+3=3x
x+1=x
Find the exact value, without acalculator.30°sin 15°sintan 15° =2cos 15°30°COS2
Answers
The problem stated that
\(\tan 15=\frac{\sin 15}{\cos 15}=\frac{\sin\frac{30}{2}}{\cos\frac{30}{2}}\)whereas sin 15 and cos 15 can be evaluated using half-angle formula. The half-angle formula for sine function is
\(\sin \frac{\theta}{2}=\sqrt[]{\frac{1-\cos \theta}{2}}\)while the half-angle formula for cosine function is
\(\cos \frac{\theta}{2}=\sqrt[]{\frac{1+\cos \theta}{2}}\)The theta value to evaluate the half-angle formula for tangent 15 is 30 degrees. We now proceed in calculating the value of the trigonometric function.
\(\begin{gathered} \sin \frac{30}{2}=\sqrt[]{\frac{1-\cos30}{2}} \\ \cos \frac{30}{2}=\sqrt[]{\frac{1+\cos30}{2}} \end{gathered}\)The exact value of cosine 30 is √3/2, hence, the equation above now becomes
\(\begin{gathered} \sin \frac{30}{2}=\sqrt[]{\frac{1-\frac{\sqrt[]{3}}{2}}{2}} \\ \cos \frac{30}{2}=\sqrt[]{\frac{1+\frac{\sqrt[]{3}}{2}}{2}} \end{gathered}\)Simplifying the equations above
\(\begin{gathered} \sin \frac{30}{2}=\sqrt[]{\frac{\frac{2-\sqrt[]{3}}{2}}{2}}=\sqrt[]{\frac{2-\sqrt[]{3}}{4}} \\ \cos \frac{30}{2}=\sqrt[]{\frac{\frac{2+\sqrt[]{3}}{2}}{2}=}\sqrt[]{\frac{2+\sqrt[]{3}}{4}} \end{gathered}\)Since tangent theta is the ratio between the sin function and the cosine function, getting the ratio of the two equations above will result to
\(\frac{\sin\frac{30}{2}}{\cos\frac{30}{2}}=\tan 15=\frac{\sqrt[]{\frac{2-\sqrt[]{3}}{4}}}{\sqrt[]{\frac{2+\sqrt[]{3}}{4}}}\)Simplifying,
\(\begin{gathered} \tan 15=\sqrt[]{\frac{2-\sqrt[]{3}}{4}}\cdot\sqrt[]{\frac{4}{2+\sqrt[]{3}}} \\ \tan 15=\frac{\sqrt[]{2-\sqrt[]{3}}}{\sqrt[]{2+\sqrt[]{3}}}=\sqrt[]{\frac{2-\sqrt[]{3}}{2+\sqrt[]{3}}} \end{gathered}\)Where the equation above shows the exact value of tan 15.
Probability of landing on even # on a spinner; probability of rolling an odd # on a die
Answers
Answer:
Spinner: 50%
Die: 50%
Step-by-step explanation:
Well for the spinner it depends on the amount of numbers it has,
in this case we’ll use 6.
So The probability of landing on the even numbers in a 6 numbered spinner.
2, 4, 6
3/6
50%
Your average die has 6 sides so the odd numbers are,
1, 3, 5
3/6
50%
ab-c/d has a value of 24. write the values if :-
1- a, b, c, d are all positive.
2- a, b, c, d are all negative.
3- a, b, c, d are mixed of negative and positive.
WRITE ANSWERS FOR 1, 2 AND 3
Answers
The values of ab, b - c, and c/d are 6, -1, and 4 respectively when a = 2, b = 3, c = 4 and d = 1.Using BODMAS rule, we can simplify the given expression.ab - c/d = 24
Given ab-c/d has a value of 24.Now, we have to find the value ofab, b - c, and c/d.Multiplying d on both sides, we getd(ab - c/d) = 24dab - c = 24d...(1)Now, we can find the value of ab, b - c, and c/d by substituting different values of a, b, c and d.Value of ab when a = 2, b = 3, c = 4 and d = 1ab = a * b = 2 * 3 = 6.
Value of b - c when a = 2, b = 3, c = 4 and d = 1b - c = 3 - 4 = -1Value of c/d when a = 2, b = 3, c = 4 and d = 1c/d = 4/1 = 4Putting these values in equation (1), we get6d - 4 = 24dSimplifying, we get-18d = -4d = 2/9
For more such questions on BODMAS rule
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Complete the missing Statement Frameworks in the table below.
Type of statement
Statement Framework
Conditional
If p, then q.
Converse
Inverse
If not p, then not a
Contrapositive
Answers
That´s q I am sure I hope this helps
I need help with this please.
Answers
Answer:
1782 cm²
Step-by-step explanation:
the required surface area =1782
units= cm²
Can someone explain how to find the area
Answers
Answer:
section off every area into a square or rectangle then find the area then add all the areas together
Select the correct name in the table.
A teacher arranged some pencils on her desk as shown below and asked her students what concept the pencils demonstrated.
Allie said the pencils are an example of perpendicular lines.
Caryl said the pencils are an example of perpendicular segments.
Frank said the pencils are an example of parallel lines.
Hector said the pencils are an example of parallel segments.
Morgan said the pencils are an example of lines that are neither parallel nor perpendicular.
Terrence said the pencils are an example of segments that are neither parallel nor perpendicular.
Which student answered correctly?
Allie Caryl Frank
Hector Morgan Terrence
Answers
The person that is correct among the students is Frank who said the pencils are an example of parallel lines.
What are parallel lines?Parallel lines are lines that can never meet. These are lines that run a direction that is quite opposite to each other as we can see from the image. It is clear that the lines as shown are not able to meet at any point even if they are extended.
Thus, the person that is correct among the students is Frank who said the pencils are an example of parallel lines.
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Linear Equations CHECK POINT 1 University of Arkansas researchers discovered that we underestimate the number of calories in restaurant meals. The next time you eat out, take the number of calories you think you ate and double it. The researchers concluded. that this number should be a more accurate estimate. The actual number of calories in one portion of hamburger and fries and two portions of fettuccine Alfredo is 4240. The actual number of calories in two portions of hamburger and fries and one portion of fettuccine Alfredo is 3980. Find the actual number of calories in each of these dishes. (Source: Consumer Reports, January/February, 2007) Test Your Calorie I.Q.
Answers
Answer:
hamburger and fries: 1240 caloriesfettuccine Alfredo: 1500 caloriesStep-by-step explanation:
You want the number of calories in each dish if 1 portion of hamburger and fries with 2 portions of fettuccine Alfredo has 4240 calories, and 2 portions of hamburger and fries with 1 portion of fettuccine Alfredo has 3980 calories.
SetupThe equations describing the calories in each dish can be written using h and f for the calories in a portion of hamburger and in a portion of fettuccine, respectively:
1h + 2f = 4240
2h +1f = 3980
SolutionSubtracting the first equation from twice the second gives ...
2(2h +f) -(h +2f) = 2(3980) -(4240)
3h = 3710 . . . . . . . simplify
h = 1240 . . . . . . . divide by 3
Then the calories in the fettuccine can be found from the second equation:
f = 3980 -2h = 3980 -2480 = 1500
The actual number of calories in a portion of hamburger and fries is 1240.
The actual number of calories in a portion of fettuccine Alfredo is 1500.
__
Additional comment
The attachment shows a calculator solution using matrix methods.
b) In a group of 1,100 youths, each uses smart phones, either I-phone or Samsung or both or neither, 150 of them use only I-phone, 770 of them use Samsung and 900 use only one of these two smart phones. (i) Find the number of youths who use both of these smart phones. (ii) Find the number of youths who use neither of these smart phones.
Answers
solve the inequality-2+4x<14
Answers
Answer: x<4
Step-by-step explanation:
If we break this down as
-2+4x<14 and we add 2 to both sides
4x+<16 and divide by 4
and you get x<4
(5, -2) and (-2, 12)
Answers
Answer:
i dont know the answer
\
Step-by-step explanation:
Step-by-step explanation:
Let the distance points A = (5,-2) and B = (-2,12)
Distance between AB = √[(x2-x1)²+(y2-y1)²]
Here, x1 = 5, y1 = -2
x2 = -2 , y2 = 12
Now,
Put all the values in distance formulae:
AB = √[(-2-5)²+{12-(-2)}²]
= √[(-7)²+(14)²]
= √[(-7*-7)+(14*14)]
= √[49 + 196]
= √[245] = 15.65 Units. Approximately.
Answer:- Hence, the distance between two points A(5, -2) and B(-2, 12) is 15.65 Units approximately.
Janice brought a set of 8 classic paperbacks to a secondhand store to sell. She was paid cash
for the entire set. Before she left, Janice used $4 of her earnings to purchase a used board
game. She had $10 remaining.
Which equation can you use to find p, the value of each paperback in the set?
4p - 8 = 10
8p - 4 = 10
8(p-4)= 10
4(p-8)= 10
Answers
Answer:
By setting up the equation 8p - 4 = 10
Step-by-step explanation:
To find the value of each paperback in the set, we can use the equation:8p - 4 = 10In this equation, p represents the value of each paperback in dollars.Explanation:The equation 8p represents the total value of the 8 paperbacks before Janice used $4 to purchase the board game.Subtracting $4 from the total value gives us the remaining amount of money Janice had after the purchase, which is $10.By setting up the equation 8p - 4 = 10, we can solve for p, the value of each paperback in the set.
What are the right triangles in this picture given the side length:
Answers
Hello!
To check if the triangles are right triangles, we must use the Pythagoras Theorem.
\(a^2=b^2+c^2\)We will consider the biggest side as A, and the other smallest sides as B and C, look:
Triangle A: is a right triangle.\(\begin{gathered} a^2=b^2+c^2 \\ (\sqrt{5})^2=(\sqrt{2})^2+(\sqrt{3})^2 \\ \sqrt{5}\cdot\sqrt{5}=\sqrt{2}\cdot\sqrt{2}+\sqrt{3}\cdot\sqrt{3} \\ \sqrt{25}=\sqrt{4}+\sqrt{9} \\ 5=2+3 \\ 5=5 \end{gathered}\)Triangle B: isn't a right triangle.\(\begin{gathered} \begin{equation*} a^2=b^2+c^2 \end{equation*} \\ (\sqrt{5})^2=(\sqrt{3})^2+(\sqrt{4})^2 \\ 5=3+4 \\ 57 \end{gathered}\)Triangle C: isn't a right triangle.\(\begin{gathered} \begin{equation*} a^2=b^2+c^2 \end{equation*} \\ 6^2=4^2+5^2 \\ 36=16+25 \\ 3641 \end{gathered}\)Triangle D: isn't a right triangle.\(\begin{gathered} \begin{equation*} a^2=b^2+c^2 \end{equation*} \\ 7^2=5^2+5^2 \\ 49=25+25 \\ 4950 \end{gathered}\)Triangle E: is a right triangle.\(\begin{gathered} \begin{equation*} a^2=b^2+c^2 \end{equation*} \\ 10^2=8^2+6^2 \\ 100=64+36 \\ 100=100 \end{gathered}\)Answer:A and E are right triangles.
+
MONDAY
Use numbers 0-9 so that each problem
has the same sum.
1 7 1
+
17 1
Answers
Answer: See below
Step-by-step explanation:
To solve this problem, we need to assign each digit from 0 to 9 to a unique letter so that each letter represents a single digit. We can then use this mapping to solve the addition problem:
Let's assign the letters A, B, C, D, E, F, G, H, I, and J to the digits 0 to 9, respectively.
Then, the addition problem becomes:
A B C
D E F
We know that the sum of each column must be the same, so:
C + F = 10 + B
B + E = 10 + A
We can rewrite these equations as:
C - B + F = 10
B - A + E = 10
Since we are given that the sum of the two numbers is the same, we know that:
C + F + D + E = 1112
We can substitute C and F in terms of A and B using the equations above:
C = 10 + B - F
F = 10 + C - B
Substituting these expressions into the equation for the sum, we get:
10 + B - F + C + D + E = 1112
Simplifying this equation, we get:
B - F + C + D + E = 1102
Now we can substitute in the expressions for C and F in terms of A and B:
B - (10 + B - F) + (10 + C - B) + D + E = 1102
Simplifying and canceling out terms, we get:
F - C - D - E = -92
We know that each digit is unique, so we can assume that A is not equal to 0 (otherwise the number would not have 4 digits). We can also assume that D is not equal to 0, since it is the leftmost digit of the second number.
Trying different values for A and D, we find that A = 2 and D = 3 works:
A B C
D E F
2 7 9
1 7 3
The sum of each column is 3 + 7 + 2 = 1 + 9 + 7, which is equal to 12. Therefore, the solution is:
2 7 9
1 7 3
4 5 2
Find the area of
8 in
3 in
10 in
4.5
Answers
Answer:
Step-by-step explanation:
square kilometre (km 2): 1,000,000 hectare: 10,000
Unit: Area in m 2 square meter: SI Unit
There exist more distinctions and classifications for different types of
trapezoids, but their areas are still calculated in the same manner using the
following equation: area = b 1 + b 2 2 × h where b1 and b2 are the bases. h is the height, or perpendicular distance between the bases The Farmer and his Daughter – Ramping Endeavors
Two boxes have the same volume. One box has a base that is 5cm by 5 The other box has a base that is 10cm by 10cm
How many times as tall is the box with the smaller base?
Answers
Answer:2
Step-by-step explanation:
Esteban bought a desk lamp at a sale price of $20.25. The original price of the lamp was $45. What was the discount rate of the desk lamp?
Answers
Answer:
55%
Step-by-step explanation:
Ans
65.25 Step-by-step explanation:
write an equation in point-slope form for the line through the given point with the given slope
(10,-9)m is -2
Answers
Answer:
Step-by-step explanation:
Point: 10,-9
k=-2
y=-2x+b
So: 9, -7
8,-5
7,-3
6,-1
5,1
4,3
3,5
2,7
1,9
0,11
y=-2x+11
Answer:
y + 9 = - 2(x - 10)
Step-by-step explanation:
the equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
here m = - 2 and (a, b ) = (10, - 9 ) , then
y - (- 9) = - 2(x - 10) , that is
y + 9 = - 2(x - 10)
what is the appropriate measure of the missing angle of the triangle shown
Answers
Answer:
it's answer is D. 33°
Let the unknown angle be x Then.
x + 100° + 47° = 180° [ being sum of angles of triangle ]
x + 147° = 180°
x = 180° - 147°
x = 33°
Step-by-step explanation:
100
12
a.
What is the volume of the triangular prism in cubic centimeters?
a. 408 cu cm
b. 1,380 cu cm
c. 816 cu cm
d. 1,632 cu cm
Answers
Answer:
Your answer would be C
Step-by-step explanation:
a
a
a
a
a
a
a
If four items are chosen at random without replacement from seven items, in how many ways can the four items be arranged, treating each arrangement as a different event (i.e., if order is important)?
Answers
Answer:
840 ways.
Step-by-step explanation:
The order is important, which means that the permutations formula is used to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
\(P_{(n,x)} = \frac{n!}{(n-x)!}\)
In this question:
4 items from a set of 7, so:
\(P_{(7,4)} = \frac{7!}{(7-4)!} = 7*6*5*4 = 840\)
840 ways.
write log7t as a base 2 logarithm.
Answers
The logarithm of base 7 of t, as a logarithm of base 2 is given as follows:
log2(t)/log2(7).
How to change the base of the logarithm?A logarithm is defined as follows:
log_a(b).
In which:
a is the base.b is the term.To change the logarithm to a new base c, the logarithm is written by the fraction presented as follows:
log_c(b)/log_c(a).
In this problem, the logarithm is defined as follows:
log_7 t.
The new base is given as follows:
2.
(as stated in the problem, since we want the logarithm as a logarithm of base 2).
Hence, applying the change of base, the logarithm of base 2 will be given as follows:
log2(t)/log2(7).
As the term log2 represents the logarithm of base 2 of the term.
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