if books cost $14.99, and there is 5% sales tax, how much is the sales tax on the books?
Answer:
0.7495 or 0.75 sales tax
Step-by-step explanation:
5% of 14.99 is 0.7495. rounded to the nearest tenth it is 0.75
6. Freddy gets an allowance of £50 each month.
His parents increase is by 35%. How much does
Freddy now receive for his allowance?
Answer:
$67.5
Step-by-step explanation:
New value =
50 + Percentage increase =
50 + (35% × 50) =
50 + 35% × 50 =
(1 + 35%) × 50 =
(100% + 35%) × 50 =
135% × 50 =
135 ÷ 100 × 50 =
135 × 50 ÷ 100 =
6,750 ÷ 100 =
67.5
Find the prime factorization of 495=
Def. of Prime Factorization: defined as a way of finding the prime factors of a number
[tex]495=3^2*5*11[/tex]
Hope that helped!
a swim team consists of seven boys and four girls a relay team of four swimmers is chosen at random from the team members what is the probability that two boys are selected for the relay team given that the first two selections were girls
Answer:
16/121
Step-by-step explanation:
First, we need to calculate the chance of a girl being selected for the first pick.
Since there are 4 girls and 7 boys, there are 11 total members on the team. Since 4 of them are girls, there is a [tex]4/11[/tex] chance that a girl is chosen first pick.
Next, to find the chance of the second selection to also be a girl, we have to multiply 4/11 by 4/11 to find that total.
[tex]\frac{4}{11} *\frac{4}{11} =\frac{16}{121}[/tex]
Therefore, the chance of the first two selections being girls is 16/121.
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Help picture below problem 13
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2sadasd
3asdas
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12sdasd
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need help with this question
Two vertices of a right triangle have coordinates (37) and (310). The segment that connects these points is a leg of the triangle
Which set of coordinates for the third vertex would create a night triangle?
OS)
Answer:
(7, 8)
I hope my answer helps you.
Factor the expression. 4b2 – 9
(2b – 3)(2b – 3)
(2b + 3)(2b + 3)
(3b + 2)(3b – 2)
(2b + 3)(2b – 3)
Let's do
4b²-9(2b)²-3²★a²-b²=(a+b)(a-b)
(2b+3)(2b-3)Hence option D is correct
Answer:
The 4th answer is correct
Step-by-step explanation:
We know that,
( a - b ) ² = ( a + b ) ( a - b )
In the same way, let us solve this sum.
4b² - 9
2²b² - 3²
( 2b - 3 ) ( 2b + 3 )
Therefore, 4th answer is correct.
Find the solution of the system of equations. x-3y= -13
2x+15y=16
Answer: [tex]x=-7, y=2[/tex]
Step-by-step explanation:
Multiplying the first equation by 2 gives [tex]2x-6y=-26[/tex]
Subtracting this from the second equation yields [tex]21y=42 \longrightarrow y=2[/tex]
Substituting this back into the first equation gives that [tex]x=-7[/tex]
[tex]\therefore x=-7, y=2[/tex]
Pamela made a profit of $3250 after selling stocks for $10500 after 4 years. What was her average annual percentage gain?
Pamela's average annual percentage gain was = 7.7%
Calculation of annual percentage gainThe start up capital (P) = $10500
The simple interest (SI) = $3250
Time (T) = 4 years
Rate = ?
But SI = P × T × R /100
Make R the subject of formula,
R = SI × 100/P × T
R = 3250 × 100/ 10500 × 4
R = 325000/ 42000
R = 7.7%
Therefore, Pamela's average annual percentage gain was = 7.7%
Learn more about simple interest here:
https://brainly.com/question/25793394
WILL GIVE BRAINLY
Triangle ABC is similar to triangle WYZ.
Select all angles whose cosine equals [tex]\frac{3}{5}[/tex]
Question 1 options:
Angle B
Angle Y
Angle Z
Angle C
Angle A
Angle W
Answer:Angle W and Angle C
Step-by-step explanation:
The angles whose cosine equals 3/5 are <A and <W.
What is Trigonometry?One area of mathematics known as trigonometry examines the relationship between the sides and angles of a right triangle. The relationship between sides and angles is defined for 6 trigonometric functions.
We have,
ΔACB and ΔWZY are similar to each other.
Now, Using trigonometry
cosine = Adjacent leg/ Hypotenuse
We have cosine = 3/5
where Adjacent side =3 and Hypotenuse = 5
So, the angle which have Adjacent side 3 in both triangles are
<A and <W.
Learn more about Trigonometry here:
https://brainly.com/question/29002217
#SPJ2
1.74 multiplied by what equals 5.22
help pls
30 brainly points
Asap
Answer:
heya! ^^
we've been given an expression which is as follows -
[tex]4 {}^{2} - \sqrt{25} [/tex]
let's deal with this expression by dividing it into two separate parts which may help understand better.
______________________________________
★ let's first deal with the first part which is - [tex]4 {}^{2} [/tex]
now ,
[tex]4 {}^{2} \: can \: also \: be \: written \: as \\ \\ 4 {}^{2} = 4 \times 4 \\ 4 {}^{2} = 16[/tex]
★ now , let's consider the second part which is - [tex] \sqrt{25} [/tex]
this can also be written as " 5 " since ,
[tex] \sqrt{25} = 5[/tex]
______________________________________
let's have a look at the entire expression altogether now.
[tex]4 {}^{2} - \sqrt{25} \\ \\\dashrightarrow 16 - 5 \\ \\ \dashrightarrow \: 11[/tex]
hope helpful :D
The following bond was quoted in The Wall Street Journal:
Bonds
NJ 4.125% 35
Current yield Volume
2.3%
5
Close
109.875%
Net change
+1.125%
Four bonds were purchased yesterday, and 4 bonds were purchased today. How much more did the 4 bonds cost today? (Do not
round intermediate calculations. Round your answer to the nearest cent.)
Increased cost
Answer:
$100 answers your question
The outer rectangle is 2 feet by 4 feet. There is a semicircle and isosceles triangle within the rectangle. Find the area of the shaded region to the nearest tenth.
To find the shaded area in an image first calculate the total area of the figure and then subtract the white area from this total.
How to find the area of a shaded area?Determine the total area of the figure, in this case, the are of the rectangle that contains the triangle and the semicircle.Calculate the area of the white region.Substract the non-shaded area to the total area.How to find out the area of different shapes?Rectangle: side x side = 2 x 4 = 8 square feetIsosceles triangle = 1/2 base x heightSemicirle = 1/2 (π x r^2)Note: This question is incomplete because the image of the shaded regions is not provided; due to this, the answer is based on general knowledge.
Learn more about triangles in: https://brainly.com/question/2773823
gggggggggggggggggggggg
Answer:
12/25
Step-by-step explanation:
lashonda had 4 fiths of 1 acre of land, and 3/5 of the 4 fiths of land is corn.
If you multply 3/5 by 4/5 you will get you answer: 12/25 or 0.48
What is the y intercept of the equation-16x^2+64x+80?
Answer:
(0, 80)
Step-by-step explanation:
The y-intercept is the value of the function when x=0. For a polynomial in x, setting x=0 effectively eliminates all of the variable terms, leaving only the constant term.
__
The y-intercept is the constant: 80. The coordinates of the y-intercept point reflect the fact that x=0 there: (0, 80).
use a sum or difference formula to simplify the expression Sin (x+π)
Answer:
- sin (x)
Step-by-step explanation:
Simplify the expression. Write the answer using scientific notation.
a) 2.52 × 10–3
b) 2.52 × 10–2
c) 2.52 × 10–1
d) 4.3 × 10–2
Answer:
b) 2.52 x 10^(-2)
Step-by-step explanation:
0.7 X 3.6 = 2.52
2.52 X 10^(-2)
The area of the circle
Answer:
314 miles
Step-by-step explanation:
Area of circle: 3.14(r^2)
Now lets solve!
3.14(10^2)
3.14(100)
314
Have an amazing day!!!
Please rate and mark brainliest!!
The area of the circle formula --> [tex]\pi r^2[/tex]
[tex]\pi[/tex] ≈ 3.14r: length of radius --> 10 mi[tex]Area = \pi r^2=\pi (10mi^2) = (100\pi) mi^2= 314 mi^2[/tex]
Hope that helps!
Select all possible values for x in the equation
Answer:
x = ∛375
Step-by-step explanation:
This expression can be written in multiple ways:
x³ = 375
x = ∛375
x = 5∛15
Seems like x = ∛375 is the only correct answer choice.
Hope this helps!
Adam ate 2 cherries. Stella ate 3 times as many cherries as Adam.
Which number sentence shows how many cherries Stella ate?
Which diagram is NOT a good model of 3÷1/4?
Answer:
The diagram with three triangles is not a good representation.
The other diagrams have three parts divided into 4 places. The diagram of the triangles only has 3 parts in each of the three triangles. The equation for that would be 3 divided by 1/3.
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
The numbers 32 and 12 are each rounded to the nearest ten and then multiplied to estimate the product. What is the best estimate of 32 × 12 based on this method?
Answer:
300
Step-by-step explanation:
32 rounds to 30.
12 rounds to 10.
30 × 10 = 300
Answer: 300
Answer:
[tex]beinggreat78~here~to~help.[/tex]
So the method is clearly stating that we need to round to the nearest ten, so let's round using the rule set.
If the number is below 5, round down.If the number is 5, round up.If the number is above 5, also round up.This array should help you vision the sequence better.
⇒ [tex]\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right][/tex]
Now, using the rounding ruleset, we have to find what to round to. Since 32 and 12 both have a ones digit below 5, we round down, meaning we now have 30 and 10. The last step is to multiply 30 by 10 to get your estimate.
[tex]30[/tex]
[tex]*~10[/tex]
▬▬
[tex]300[/tex]
With this information, your answer is 300(rounded to nearest ten)!
Simplify the expression by
combining like terms:
-3a + 1 + a +5
Enter the number that belongs in the green box.
[? ]a +[ ]
Enter
-2a+6
Solution:Let's simplify this expression by combining like terms.The like terms are-3a, a1, 5Combine them:-3a+a+1+5-2a+6Hope it helps.
Do comment if you have any query.
The perimeter of a rectangular field is 370 yards. If the length of the field is 98 yards, what is its width?
Answer:
87
Step-by-step explanation:
Please help me solve this problem
Answer:
See belowStep-by-step explanation:
Since all graphs pass throught the origin, they all have the form of:
y = ax², where a- coefficientThe coefficient of each graph's equation can be calculated based on the given pairs of points.
Each of them calculated for you and attached below.
My sister needs help
Answer:
» 15
Step-by-step explanation:
» 5*3=15
hope this helps.
82 people were surveyed as to how many TVs they had in their homes.
What was the range in the number of TVs owned by these households?
Number of TVs per Household Frequency
0 1
1 10
2 24
3 21
4 16
5 9
6 1
Answer:
The range is 23
Step-by-step explanation:
You need to find the biggest number, and then find the smallest number. Then you need to subtract them.