Ryan spent $3.25 on lunch every day, Monday through Friday. If he had $20 at the start of the week, how much money will he have left after Friday?
The amount of money left after Friday is $3.75.
What is unitary method?The method in which first we find the value of one unit and then the value of the required number of units is known as the Unitary Method.
According to the given question.
Amount of money spent for the lunch every day is $3.25.
Total amount of money Ryan have is $20.
Now, number of total days from Monday to Friday is 5.
So,
The amount spent for lunch for 5 days by Ryan
= 5 × $ 3.25 = $16.25 (by unitary method)
Therefore,
The amount of money left after Friday
[tex]\$20 - \$16.25\\= \$3.75[/tex]
Hence, the amount of money left after Friday is $3.75.
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Which is a sum of cubes? a3 + 18 a6 + 9 a9 + 16 a12 + 8
a3 + 18
a6 + 9
a9 + 16
a12 + 8
Answer: [tex]a^{12}+8[/tex]
Step-by-step explanation:
let's check all the expressions
1. [tex]a^3+18[/tex]
here 18 is not a perfect cube.
2. [tex]a^6+9[/tex]
here 9 is not a perfect cube.
3.[tex]a^9+16[/tex]
here 16 is not a perfect cube.
4.[tex]a^{12}+8[/tex]
here 8 is a perfect cube, thus we can write above expression by using laws of exponents as
[tex](a^4)^3+2^3[/tex]
Thus, [tex]a^{12}+8[/tex] is a sum of cubes.
Martin is asked to find the probability of getting one head and three tails on for coin tosses this is a simple event
Answer: False
Martin is asked to find the probability of getting one head and three tails on for coin tosses this is a simple event.
A. True
B. False
State the Midpoint formula?
How are the midpoint formula and the Distance formula alike? How are they different?
Give a real-world example that could be addressed using the distance formula.
Give a real-world example that could be addressed using the midpoint formula.
What is the missing step in this proof?
The missing step in the proof is;
Statement: ∠1 ≅ ∠4 and ∠3 ≅ ∠5Reason: Alternate interior angle theorem.The correct answer choice is option C.
What is alternate interior angles theorem?Alternate angle theorem states that when two parallel lines are cut by a transversal, the resulting alternate interior or exterior angles are congruent.
It is used to prove that alternate interior angles are equal if two parallel lines are cut by a transversal,
Hence, angle 1 is congruent to angle 4 and angle 3 is congruent to angle 5.
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For a fixed amount of a gas at a constant temperature, the volume of the gas is inversely proportional to its pressure. At a pressure of 30 pounds per square inch (psi), a gas has a volume of 600 in.3. Which function can be used to model the volume of the gas y, in cubic inches, when the pressure is x psi?
we know that
A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form [tex]y*x=k[/tex] or [tex]y=k/x[/tex]
Let
x-------> the pressure in PSI
y------> the volume of the gas in cubic inches
In this problem we have the point [tex](30,600)[/tex]
so
[tex]x=30\ psi\\y=600\ in^{3}[/tex]
Find the constant k
[tex]y*x=k[/tex]
substitute the values of x and y
[tex]600*30=k[/tex]
[tex]k=18,000\ lb*in[/tex]
the equation is
[tex]y=18,000/x[/tex]
therefore
the answer is
[tex]y=18,000/x[/tex]
Answer:
[tex]y=\frac{18000}{x}[/tex]
Step-by-step explanation:
Let the volume of gas be y
Let the pressure be x
Since we are given that the volume of the gas is inversely proportional to its pressure.
⇒[tex]y \propto \frac{1}{x}[/tex]
Let the proportionality be k
So, [tex]y=\frac{k}{x}[/tex] ---A
Now we are given that At a pressure of 30 pounds per square inch (psi), a gas has a volume of 600 cubic inches
So, substitute x = 30
y = 600
[tex]600=\frac{k}{30}[/tex]
[tex]600 \times 30=k[/tex]
[tex]18000 =k[/tex]
Substitute the value of k in A
So, [tex]y=\frac{18000}{x}[/tex]
Hence function can be used to model the volume of the gas y, in cubic inches, when the pressure is x psi is [tex]y=\frac{18000}{x}[/tex]
A school director must randomly select 6 teachers to participate in a training session. There are 34 teachers at the school. In how many different ways can these teachers be selected, if the order of selection does not matter?
Solve the equation: h/9 = 7. A. h = 1 2/7 B. h = 63 C. h = –63 D. h = 7/9
An isosceles triangle with equal sides of 5 inches and a base of 6 inches is inscribed in a circle. What is the radius, in inches, of the circle? Express your answer as a mixed number.
To find the radius of the circle inscribed in the isosceles triangle, we can use the formula for the inradius of a triangle. The inradius is given by the formula: inradius = (area of the triangle) / (semiperimeter of the triangle). First, we need to find the area and semiperimeter of the triangle. Then, we can calculate the inradius and find the radius of the circle.
Explanation:To find the radius of the circle inscribed in the isosceles triangle, we can use the formula for the inradius of a triangle. The inradius is given by the formula:
inradius = (area of the triangle) / (semiperimeter of the triangle)
First, we need to find the area of the triangle. Since it is an isosceles triangle with equal sides of 5 inches, we can split it into two congruent right triangles. The height of each right triangle can be found using the Pythagorean theorem:
height = sqrt(5^2 - (6/2)^2) = sqrt(25 - 9) = sqrt(16) = 4 inches
Now, we can find the area of the triangle:
area = (1/2) * base * height = (1/2) * 6 * 4 = 12 square inches
Next, we need to find the semiperimeter of the triangle:
semiperimeter = (5 + 5 + 6) / 2 = 16 inches
Finally, we can calculate the inradius:
inradius = 12 / 16 = 3/4 inches
Therefore, the radius of the circle is 3/4 inches.
Three times the difference of a number x and seven is twenty-three minus the sum of three times a number x and two. what is the value of x?
The required value of x is 7.
What are linear equation?A linear equation only has one or two variables. No variables in a linear equation is raised to power greater than 1 or used as denominator of a fraction.
Now the given statement is,
Three times the difference of a number x and seven is twenty-three minus the sum of three times a number x and two.
So converting them into numerical form,
the difference of a number x and seven = x - 7
∴ Three times the difference of a number x and seven = 3(x - 7)
Similarly,
the sum of three times a number x and two = 3x + 2
∴ Twenty-three minus the sum of three times a number x = 23 - (3x + 2)
Therefore, the required equation is,
3(x - 7) = 23 - (3x + 2)
Expanding the brackets we get,
3x - 21 = 23 - 3x - 2
or, 3x - 21 = 21 - 3x
Taking alike terms together,
3x + 3x = 21 + 21
or, 6x = 42
Dividing both side by 6 we get,
x = 7
which is the required value of x.
Thus, The required value of x is 7.
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Identify a semicircle that contains C.
A.ABC
B.AC
C.CB
D. ACB
Answer: The correct option is (D). ACB.
Step-by-step explanation: We are given to identify a semi-circle that contains the point 'C'.
As shown in the figure, AB is the diameter of the circle with center 'O'.
So, there are two congruent semi-circles made by the diameter AB.
The point 'C' lies on the upper semi-circle made by the diameter AB.
Since the upper semi-circle contains the point 'C', so it is named as the semi-circle ACB.
Thus, the semi-circle ACB contains the point 'C'.
Option (D) is correct.
HELPPP Plzzzzzzzzzz ASAP
Use Addition of Composite Figures to find the total shaded regions.
1) Find the shaded area. Round your answer to the nearest tenth, if necessary.
I don't understand this and would appreciate an explanation as well :)
Solve for the variable in the equations below.
Round your answers to the nearest hundredth.
Do not round any intermediate computations.
e^x = 6
4^(y+3) = 3
[tex]e^x = 6[/tex]
[tex]4^y^+^3 = 3 [/tex]
Which rate is the lowest price?
$6.30 for 9
$5.50 for 5
$4.20 for 7
$0.80 each
In triangle PQR, C is the centroid.
A. If CY = 10, find PC and PY
B. If QC = 10, find ZC and ZQ
C. If PX = 20, find PQ
Because point C is the centroid of the triangle, therefore:
Segments PZ = ZR; RY = YQ; QX = XP
A.
If CY = 10, then
PC = 2*CY = 20
PY = PC + CY = 20 + 10 = 30
Answers:
PC = 20
PY = 30
B.
If QC = 10, then
ZC = QC/2 = 5
ZQ = ZC + QC = 5 + 10 = 15
Answers:
ZC = 5
ZQ = 15
C.
If PX = 20
because the median RX bisects side PQ, therefore PX = QX = 20
PQ = PX + QX = 40
Answer:
PQ = 40
30 POINTS!!!!!!!
A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 99m long and 72m wide.
Find the area of the training field. Use the value 3.14 for π, and do not round your answer. Be sure to include the correct unit in your answer.
Answer:
1273 hola aaaaa oigan busco novia
What is 5 plus 5 minus 5 divided by 5 and then multiplied by 5?
Answer:
45Step-by-step explanation:
[tex](5+5-5:5)\cdot5\\\\\text{Use PEMDAS}\\\\\text{P Parentheses first}\\\text{E Exponents}\\\text{MD Multiplication and Division (left-to-right)}\\\text{AS Addition and Subtraction (left-to-right)}\\\\=(5+5-1)\cdot5\\\\=(10-1)\cdot5\\\\=9\cdot5\\\\=45[/tex]
a triangle has two sides of the lengths 8 and 10 what value could the length of the third side be
In which case would it be best to use the “Factoring Method” to solve the trinomial equation?
x^2 + 4x = -5
4.3x^2 + 2.4x - 3 = 0
x^2 - 4x + 3 = 0
5v + 7f =28.70 if f is 2.85
5v+7(2.85)=28.70
5v+19.95 = 28.70
5v = 8.75
v = 1.75
Julio paid 1.3 times his normal hourly rate for each he works over 31 hours in a week. Last week he worked 35 hours and earned $448.88. What is julios normal hourly rate ?
Solve the equation: 2.6 = -0.2t
How do you get rid of an exponent on a variable?
To get rid of an exponent on a variable, apply the inverse operation of the exponent such as division or root operations.
Explanation:To get rid of an exponent on a variable, you need to apply the inverse operation of the exponent. If the exponent is multiplication, you use division, and if the exponent is an exponentiation, you use a root operation. For example, to get rid of a squared variable, you take the square root of the variable. If you have a variable raised to the third power, you take the cube root of the variable.
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The sum of three consecutive odd integers is 18 less than 5 times the middle number. Find the 3 integers. Use an algebraic solution
X +(x+2) + (x+4) = 5(x+2)-18
3x+6 = 5x+10-18
3x+6 = 5x-8
3x=5x-14
-2x=-14
x=7
(x+2) =9
(x+4) =11
7 + 9+ 11 =27
5(9)-18 =45-18 =27
3 numbers are 7, 9 & 11
Using the Law of Cosines, in triangle DEF, if e=18yd, d=10yd, f=22yd, find measurement of angle D
Determine the standard variation of the data below. (1, 2, 3, 4, 5)
Answer:
So basically sqrt of 2...
Step-by-step explanation:
A wire is first bent into the shape of a rectangle with width
4in and length 14in. Then the wire is unbent and reshaped into a square. What is the length of a side of the square?
A farmer had 17 sheep. all but 9 died. how many live sheep were left
The sum of the digits of a certain number is 12. When you reverse its digits you decrease the number by 36. Find the number
x+y=12
x*y =36
8+4=12, so make the digits 84, reverse to make it 48
84-48=36
the numbers are 8 & 4
I need to find the answer to these questions in about 10 minutes or I'm screwed. please help me out.