Answer:
B) $46.72
Step-by-step explanation:
Let j = cost of the jeans
j * 1.07 is the cost of the jeans with tax
j * 1.07 = 49.99
Divide each side by 1.07
j * 1.07 /1.07 = 49.99 / 1.07
j =46.72
The jeans can cost no more than 46.72
Answer:
B) $46.72
Step-by-step explanation:
The problem can be expressed as an equation you solve for "y"
y + y * 0.07 = 49.99
We factor out the "y" from the equation and we get
y * (1 + 0.07) = 49.99
Which is the same as
y * 1.07 = 49.99
We can then divide by 1.07 both sides
y = 49.99 / 1.07
Which yields
y = 46.719
If rounding is allowed the answer is B, otherwise the answer is A. I'll go with the rounded one
**Please Help Im Trying To Make My Parent Proud Of Me i'll try to brainlistt!!** Angelina added 0.45 to 0.333 and made the conclusion that the sum of two rational numbers is rational. Is Angelina correct? Explain.
a
No, she is incorrect because 0.45 and 0.333 are irrational numbers.
b
Yes, she is correct because 0.45 and 0.333 are integers.
c
Yes, she is correct because 0.45 and 0.333 are rational numbers.
d
No, she is incorrect because the decimal numbers must be the same.
Answer:
c. Yes, she is correct because 0.45 and 0.333 are rational numbers. The sum of two rational numbers is a rational number.
What is the circumference of a circle with a radius of 14 feet using pie?
Answer:
Circumference 87.92 ft
Step-by-step explanation:
You have a radius of 14 so u multiply by 2 to get the diameter, then u mulptiply by pie (3.14) thats how u get the circumference.
14×2=28
28×3.14=87.92
What’s x-5=1
Please please please help
The area of the Mojave desert is 25000 square miles.
A scale drawing of the Mojave desert has an area of 10 square inches.
What is the scale of the map
The scale of the map given the area of the desert and the area of the scale drawing is 1 square inch represents 2,500 square miles.
What is the scale?A scale drawing is either a larger or smaller image of another image or object. A scale drawing is enlarged or reduced using a scale. A map is a smaller scale drawing of an area. The scale is used to keep the proportion of the dimensions between the scale drawing and the original place similar.
In order to determine the scale of the drawing, divide the original square area by the square area of the scale drawing.
Scale of the drawing = original dimensions / dimensions of the scale drawing
25,000 square miles / 10 square inches = 2,500 square miles
The scale is 1 square inch represents 2,500 square miles. or 1 : 2,500.
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Bob purchased n notebooks. They were 4 dollars each. Write an equation to represent the total cost c that Bob paid.
Answer:
Cost Function is:
c = 4n
Or, using n as a function variable, we write:
c(n) = 4n
Step-by-step explanation:
c represents total cost
n represents notebook
4 represents cost per notebook
Given that △ABC ~△PQR, AC/PR=2.5 and the area of △PQR is equal to 8 cm, find the area of △ABC
The triangle ABC has an area of 50 square cm
How to determine the area of the triangle ABC?From the question, the given parameters are:
△ABC ~△PQRAC/PR =2.5 Area of △PQR is equal to 8 cm squareThe given parameters above mean that:
The triangles ABC and PQR are similar triangles
So, the area of the triangle ABC is then calculated as
Area of △PQR = Area of △ABC x (AC/PR)²
Substitute the known values in the above equation
So, we have the following equation
Area of △PQR = 8 x (2.5)²
Evaluate the product
Area of △PQR = 50
Hence, the area of the triangle ABC is 50 square cm
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Monster multiplacation Multiply using the standard algorithm. Show your stuff 92 43
The multiplication of 92 by 43 using standard algorithm is 3956.
What is standard algorithm?A standard algorithm or method in elementary mathematics is a certain computation technique that is typically taught for resolving particular mathematical issues.
To be more organized and effective, a typical algorithm uses the same steps each time we multiply, add, subtract, or divide.
Math problems are typically solved by aligning the places, starting with the ones on the right, moving on to the tens place, adding in any carryover numbers or regrouping if subtracting and so on.
Therefore, the multiplication is:
= 92 × 43
= 3956
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Line AB is a straight
line.
9
1. m∠AOB = ____
Statement
1. ________
Reason
2. m∠AOE+m∠EOF+m∠FOB=m∠____ 2. ________
3. x + ____ +20° = ____ 3. Substitution
4. x = ____ 4. Algebra
The two column proof of the given angles are;
Statement 1; m∠AOB = 180°
Reason 1; Sum of angles on a straight line sums up to 180°
Statement 2; m∠AOE + m∠EOF + m∠FOB = m∠AOB
Reason 2; Opposite angles
Statement 3; x + 3x + x + 12 = 152
Statement 3; Substitution
Statement 4; x = 28°
Reason 4; Algebra
How to solve two column proof?From the attached image, we can complete the two column proof as follows;
Statement 1; m∠AOB = 180°
Reason 1; Sum of angles on a straight line sums up to 180°
Statement 2; m∠AOE + m∠EOF + m∠FOB = m∠AOB
Reason 2; Opposite angles
Statement 3; x + 3x + x + 12 = 152
Statement 3; Substitution
From statement 3, we can use algebra to find x as;
x + 3x + x + 12 = 152
5x + 12 = 152
5x = 152 - 12
5x = 140
x = 28°
Thus;
Statement 4; x = 28°
Reason 4; Algebra
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Please help, I honestly have no clue what I’m doing.
Given the table below, determine the following
Y = -4x+15
(Picture below)
Answer:
y=-1
y=43
x=14
Step-by-step explanation:
So, you have the equation: [tex]y=-4x+15[/tex], and if we know one value we can easily solve for the other using some algebraic manipulation.
Find y when x=4.
For this we know one value, "x", and the other "y" value is unknown. This is actually not to hard if you notice that the equation we're given expresses the value of "y" in terms of "x".
So let's plug in the x-value: [tex]y=-4(4)+15\implies y=-16+15=-1[/tex]
So we get: y=-1, which turns out to be the solution!
Find y when x=-7
This is a similar process, so let's just get straight into it and plug x as -7
[tex]y=-4(-7)+15\\y=28+15\\y=43[/tex]
This is our solution, y=43
Find x when y = -41
So this case is a bit different since we're given the y-value and not the x-value, and as I mentioned the equation represents the value of y in terms of x.
We still do a similar process, except we'll use some more algebraic manipulation, but let's start by plugging in the known value:
[tex]-41=-4x+15[/tex]
Let's move the constant, 15, to the other side by subtracting by 15 to cancel both sides.
[tex]-56 = -4x[/tex]
Now we want to get the x alone, and the only "operation" being done on the x, is that it's being multiplied by the coefficient of -4. To cancel this out we want to divide both sides by -4 to maintain equality & cancel out the coefficient of -4 to one, which is just 1 * x which can be expressed as x as it's implied the coefficient is 1
[tex]14=x[/tex]
Now we have our solution!
in the usa, the cost of a phone is $1200. in the uk a phone is £920. using the exchange rate £1 = $1.36, work out the difference in cost of the phones in the usa and the uk
The difference between of the cost of the phones in the USA and the UK is $51. 2
What is exchange rate?Exchange rate can be defined as the price of the unit of foreign currency in terms of the home currency.
It is also known as the rate at which a currency is exchanged to another currency
From the information given, we have that;
The cost of a phone in the USA is $1200The cost of a phone in the UK is £920We also have that;
The exchange rate is expressed as;
£1 = $1.36
Now, let's convert the cost from dollars to euros, we have;
If £1 = $1.36
Then, £920 = $x
cross multiply, we have;
x = 920 × 1. 36
x = $1251. 36
Now, let's find the difference between the cost in the USA and UK, we have;
= $1251. 36 - $1200
= $51. 2
Hence, the difference is $51. 2
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round 38.4561 to 2 dp
Answer: 38.46
Step-by-step explanation:
↓
38.456 It means round by 0.05, so when you round you look at the place value after the specified digit.
Question 4 (10 points)
Answer:
1024
Step-by-step explanation:
4^5
= 4*4*4*4*4
= 16*4*4*4
= 64*4*4
= 256*4
= 1024
asap help please brainly okay
Answer:
2[tex]\sqrt{10}[/tex]
Step-by-step explanation:
using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] = [tex]\sqrt{ab}[/tex]
given
[tex]\sqrt{5}[/tex] × [tex]\sqrt{8}[/tex]
= [tex]\sqrt{5(8)}[/tex]
= [tex]\sqrt{40}[/tex]
= [tex]\sqrt{4(10)}[/tex]
= [tex]\sqrt{4}[/tex] × [tex]\sqrt{10}[/tex]
= 2[tex]\sqrt{10}[/tex]
Given that 2 x 108 = 20 × 107
Work out (2 x 108) + (4 × 107)
Give your answer in standard form.
The solution of the given expression will be ( 2.4 x 10⁸ ).
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that 2 x 10⁸ = 20 × 10⁷. The sum of the two exponential numbers will be calculated as:-
Sum = 2 x 10⁸ + ( 4 x 10⁷ )
Sum = 20 x 10⁷ + ( 4 x 10⁷ )
Sum = ( 20 + 4 ) x 10⁷
Sum = 24 x 10⁷
Sum = 2.4 x 10⁸
Therefore, the solution of the given expression will be ( 24 x 10⁷ ).
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lenge You buy 3.16 pounds of oranges, 1.15 pounds of peaches, and 2.24 pounds of apples.
Using the addition, if you buy 3.16 pounds or oranges, 1.15 pounds of peaches and 2.24 pounds of apples , then the total bill is 6.55 pounds
The cost of the oranges = 3.16 pounds
The cost of the peaches = 1.15 pounds
The cost of the apples = 2.24 pounds
Then the total bill = The cost of the oranges + The cost of the peaches + The cost of the apples
Here we have to use the addition
Substitute the values in the equation
Then the total bill = 3.16 + 1.15 + 2.24
= 6.55 pounds
Hence, using the addition, if you buy 3.16 pounds or oranges, 1.15 pounds of peaches and 2.24 pounds of apples , then the total bill is 6.55 pounds
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How many miles does the car travel in 1.5 hours
Answer:
97 miles
Step-by-step explanation:
pls mark brainlest
Answer:
97 miles
Step-by-step explanation:
65 mph * 1.5 hours = 97 miles
Can someone explain how to do this to me!! Please thanks
Answer:
MP = 19
Step-by-step explanation:
MP = MN + NO + OP
we require to find OP and MN before we can evaluate MP
NO + OP = NP , that is
8 + OP = 15 ( subtract 8 from both sides )
OP = 7
and
MN + NO = M0 , that is
MN + 8 = 12 ( subtract 8 from both sides )
MN = 4
Then
MP = MN + NO + OP = 4 + 8 + 7 = 19
i need help on this, thanks
Answer:
9
Step-by-step explanation:
Vertical angles are congruent, so:
[tex]16y=18y-18 \\ \\ -2y=-18 \\ \\ y=9[/tex]
Vincent made a 2000 deposit into an account on august1 that yields 2% interest compounded annually. How much money will be in that account at the end of 5 years
The money in the account at the end of 5 years is 2208.16
Compound interestThe formula for calculating the compound interest is expressed according to the formula:
Compound interest = P(1+r)^t
Given the following parameters
Principal = 2000
rate = 2 % = 0.02
time = 5 years
Substitute
A = 2000(1+0.02)^5
A = 2000(1.02)^5
A = 2208.16
Hence the amount of money that will be in that account at the end of 5 years is 2208.16
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the object on the scale drawing is 4 inches long. How many feet long is it in real life?
Answer:
half of a foot
Step-by-step explanation:
PLEASE PLEASE PLEASE HELP DUE IN AN HOUR I WILL GIVE BRAINLIEST IF YOU ANSWER SHOW WORK HELPPPP ME THANK YOUU
The mean of the number of hours spent watching television is 15.75
The mean absolute deviation of the number of hours spent watching television is 6.625.
What is the mean and mean absolute deviation?Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number
Mean = sum of the numbers / total number
(10 + 11 + 22 + 7 + 17 + 17 + 20 + 31 + 0 + 12 + 19 + 23) / 12 = 189/12 = 15.75
Mean absolute deviation is the average of the sum of the absolute difference between the numbers and the mean.
MAD = 1/n ∑ l x - m(x) l
(|10 - 15.75) + |11 - 15.75| + |22 - 15.75| + |7 - 15.75| + |17 - 15.75|+ |17 - 15.75| + |20 - 15.75| + |31 - 15.75| + |0 - 15.75| + |12 - 15.75| + |19 - 15.75| + |23 - 15.75|
= (5.75 + 6.75 + 6.25 + 8.75 + 1.25 + 1.25 + 4.25 + 15.25 + 15.75 + 3.75 + 3.25 + 7.25) / 12 = 6.625
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Conditional Statement: If the object has a remote, then it is a television.
Part A: Write the converse to the conditional statement.
Part B: Write a biconditional statement from the conditional statement.
Part C: Validate the biconditional statement from Part B. Use details to support your answer.
For given conditional statement 'If the object has a remote, then it is a television.'
Part A: converse to the conditional statement
'If it is a television, then the object has a remote.'
Part B: a biconditional statement
'The object has a remote if and only if it is a television.'
Part C: validation of biconditional statement
The biconditional statement is true because the conditional statement and the converse are true.
In this question, we have been given a conditional statement: 'If the object has a remote, then it is a television.'
Part A:
We need to write the converse to the conditional statement.
The converse of given conditional statement would be:
'If it is a television, then the object has a remote.'
Part B:
We need to write a biconditional statement from the conditional statement.
A biconditional statement of the given conditional statement would be:
'The object has a remote if and only if it is a television.'
Part C:
We need to validate the above biconditional statement.
The biconditional statement is true because the conditional statement and the converse are true.
Therefore, for given conditional statement 'If the object has a remote, then it is a television.'
Part A: converse to the conditional statement
'If it is a television, then the object has a remote.'
Part B: a biconditional statement
'The object has a remote if and only if it is a television.'
Part C: validation of biconditional statement
The biconditional statement is true because the conditional statement and the converse are true.
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Let U = {1, 2, 3, 4, 5, 6, 7, 8), A=(2, 4, 6), B = {1, 2, 5, 8), and C = (1,3,7)
AU(BUC)
A Venn diagram is visual representation that makes use of circles to highlight the connections between different objects or limited groups of objects. Circles that overlap share certain characteristics, whereas the circles that do not overlap do not.. If U = {1, 2, 3, 4, 5, 6, 7, 8), A=(2, 4, 6), B = {1, 2, 5, 8), and C = (1,3,7), Then
AU(BUC)= {1,2,3,4,5,6,7,8}.
What is Venn diagram?A Venn diagram is visual representation that makes use of circles to highlight the connections between different objects or limited groups of objects. Circles that overlap share certain characteristics, whereas the circles that do not overlap do not.
Venn diagrams are useful for showing how the two concepts are related and different visually. They have long been acknowledged for their value as teaching resources. Venn diagrams have been incorporated into elementary-level lesson plans and the introduction to logic curricula worldwide since the middle of the 20th century.
Venn diagrams are helpful for displaying the relationships between several ideas or factors. They can quickly demonstrate how things are alike or dissimilar as well as where and how they overlap. A Venn diagram's center, which is where two or more circles intersect, frequently indicates some nexus or central concept that may be broken down into the various other circles, with the labels on the outer portions representing more abstract and separate concepts than those near the center.
Since, BUC= {1,2,3,5,7,8}
So, AU(BUC) = {1,2,3,4,5,6,7,8}
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what is 6 times 10 equal
Answer:
60
Step-by-step explanation:
10 + 10 + 10 + 10 + 10 + 10 = 60
Answer:
60
Step-by-step explanation:
Everytime you are multiplying by 10, you add a 0 to the number that you are multiplying by. In this case, the 6 turns into 60. This is a trick for the multiples of 10. Hope this helps!
The value of a motorcycle decreases at a steady rate of 20% each year. What is the total percentage loss (to the nearest integer) in the value of the motorcycle at the end of 3 years?
Answer:
The total percentage loss would be 67%.
Step-by-step explanation:
Since we have given that
Rate of decline each year = 20%
Number of years = 5
We need to find the total percentage loss in value of the house at the end of 5 years.
So, Total percentage loss would be
i need help with this, thanks
Answer:
151, 29, 151
Step-by-step explanation:
[tex]m\angle 2=29^{\circ}[/tex] (vertical angles)
[tex]m\angle 1=m\angle 3=151^{\circ}[/tex] (linear pair)
Answer:
[tex]m \angle 1= \boxed{159}\;^{\circ}\\\\m \angle 2= \boxed{21}\;^{\circ}\\\\m \angle 4= \boxed{21}\;^{\circ}[/tex]
Step-by-step explanation:
Angles on a straight line sum to 180°.
⇒ m∠3 + m∠4 = 180°
⇒ 159° + m∠4 = 180°
⇒ m∠4 = 21°
Vertical Angle Theorem
When two straight lines intersect, the opposite vertical angles are congruent.
Applying the Vertical Angle Theorem:
m∠1 = m∠3 = 159°m∠2 = m∠4 = 21°CO2 How many atoms of each element are in the formula shown?
The number of atoms of each element in CO2 are; Number of O atoms = 2 and Number of C atoms = 1
What is the number of atoms present in the element?The number of atoms present in the molecule of an element is known as its Atomicity. For Example: In the H2O molecule, its atomicity is 3 as it has 2 molecules of hydrogen and 1 molecule of oxygen
Similarly, for the antiperspirant Al₂Cl(OH)₅. the number of atoms in each element can be found as follows;
Number of Al atoms = 2
Number of Cl atoms = 1
Number of H atoms = 1 x 5 = 5
Number of O atoms = 1 x 5 = 5
Applying the above to our question gives;
Number of C atoms = 1 atom
Number of O atoms = 2 Atoms
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Keiko's penny bank is 1/6
full. After she adds 320 pennies, 1/2 it is full. How many pennies can Keiko's bank hold?
Answer: 960
Step-by-step explanation:
Let the number of pennies Keiko's bank hold be x
Now, According to the question,
[tex]\frac{1}{6} \times x+320=\frac{1}{2} \times x[/tex]
⇒ [tex]\frac{1}{6} \times x+320=\frac{x}{2}[/tex]
⇒ [tex]\frac{(x+1960)}{6}=\frac{x}{2}[/tex]
⇒ 2(x + 1920) = 6x
⇒ 2x + 3840 = 6x
⇒ 6x - 2x = 3840
⇒ 4x = 3840
⇒ [tex]x = \frac{3840}{4}[/tex]
⇒ x = 960
Hence, the total number of pennies Keiko's bank hold = 960.
A(-3, 13), B(4, -15) Find the slope
PRACTICE Describe the domain and range of each function using inequality or set-builder notation.
In the picture there are 4 graphs.
1st graph we get domain as (-∞,+∞) and range as (-∞,+∞).
2nd graph we get domain as [-4,4] and range as [3,-1].
3rd graph we get domain as [-4,1] and range as [1,-4].
4th graph we get domain as (-∞,4] and range as (-∞,-2].
Given that,
In the picture there are 4 graphs.
We have to find the domain and range of the each function using inequality or set-builder notation.
A function's domain is the set of values that we are allowed to enter into our function.
This set consists of the values of the x-axis for a function like f. (x).
The range of values that can be used as input for a function is called this. The values in this set hence, once we input an x value, the function returns. The y values are those.
1st graph we get domain as (-∞,+∞) and range as (-∞,+∞).
2nd graph we get domain as [-4,4] and range as [3,-1].
3rd graph we get domain as [-4,1] and range as [1,-4].
4th graph we get domain as (-∞,4] and range as (-∞,-2].
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