Answer:
$112.7
Step-by-step explanation:
15%=0.15
0.15*98=14.7
98+14.7=112.7
Of the shirts in Bonnie's dresser, 3/10 are striped, while another 3/10 are plaid. What fraction of the shirts are either striped or plaid?
Answer:
6/10
Step-by-step explanation:
Weekly math review 3:3
Apply the rules of exponents
Answer:
The answer is: [tex]$ \frac{\textbf{1}}{\textbf{216}} $[/tex]
Step-by-step explanation:
Rule of Exponents:
[tex]$ x^a . x^b \hspace{2mm} = \hspace{2mm} x^{a + b} $[/tex]
[tex]$ \frac{x^a}{x^b} = x^{a}.x^{-b} = x^{a - b} $[/tex]
Here, it is given:
[tex]$ \frac{6^2}{6^5} = 6^{2 - 5} $[/tex]
[tex]$ = 6^{-3} $[/tex]
[tex]$ = \frac{1}{6^3} $[/tex]
[tex]$ = \frac{\textbf{1}}{\textbf{216}} $[/tex]
Hence, the answer.
Which of these shapes os an obtuse isosceles triangle
Triangle in option A is an obtuse isosceles triangle.
What is an isosceles triangle?Isosceles triangles are those triangles that have at least two sides of equal measure and two base angles are equal.
An isosceles obtuse triangle is a triangle in which one of the three angles is obtuse (lies between 90° and 180°), and the other two acute angles are equal in measurement.
The following is a list of the isosceles obtuse triangle's characteristics:
It has two acute angles and two equal sides on either side of them.The other two angles are sharp angles, each smaller than 45 degrees, and one of the angles is between 90° and 180°.The side opposing the obtuse angle is the largest side of an obtuse isosceles triangle.The largest side is the one that faces the obtuse angle. To put it another way, the largest side of an isosceles obtuse triangle is the unequal side.The total interior angles come to 180 degrees.One example of isosceles obtuse triangle angles is 30°, 30°, and 120°.
Therefore, triangle in option A is an obtuse isosceles triangle.
To learn more about an isosceles triangle visit:
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[Quick Answer Needed] Which of the following shows the extraneous solution to the logarithmic equation?
(Image Attached Below)
Answer:
C
Step-by-step explanation:
Given the logarithmic equation
[tex]\log_4x+\log_4(x-3)=\log_4(-7x+21)[/tex]
First, notice that
[tex]x>0\\ \\x-3>0\Rightarrow x>3\\ \\-7x+21>0\Rightarrow 7x<21\ x<3[/tex]
So, there is no possible solutions, all possible solutions will be extraneous.
Solve the equation:
[tex]\log_4x+\log_4(x-3)=\log_4x(x-3),[/tex]
then
[tex]\log_4x(x-3)=\log_4(-7x+21)\\ \\x(x-3)=-7x+21\\ \\x^2-3x+7x-21=0\\ \\x^2+4x-21=0\\ \\D=4^2-4\cdot 1\cdot (-21)=16+84=100\\ \\x_{1,2}=\dfrac{-4\pm 10}{2}=-7,\ 3[/tex]
Hence, [tex]x=3[/tex] and [tex]x=-7[/tex] are extraneous solutions
What is the area of a 12 meter square? 48 square meters 121 square meters 144 square meters 169 square meters
Answer:
12 meter = 129.167
48 = 516.668
121 =1302.43
144 =1550
169 = 1819.1
Step-by-step explanation:
Final answer:
The area of a 12 meter square is calculated by squaring the length of the side, which results in 144 square meters.
Explanation:
The area of a square can be found by squaring the length of one of its sides. Since the given square has a side length of 12 meters, the area can be calculated as follows:
Area = side length * side length
Area = 12 m * 12 m
Area = 144 square meters
What is the expression of 5x-3(x-2)-x
Answer:
It simplifies to x+6.
Step-by-step explanation:
First, use the distributive property.
5x-3x+6-x
Now, combine like terms.
2x+6-x ---> x+6
order the following integers from least to greatest 6, 11, 16, -8, -5
x2 + 5x – 4 = 3x - 1
Answer:
x = -3 or x = 1Step-by-step explanation:
[tex]x^2+5x-4=3x-1\qquad\text{subtract}\ 3x\ \text{from both sides}\\\\x^2+5x-3x-4=3x-3x-1\\\\x^2+2x-4=-1\qquad\text{add 1 to both sides}\\\\x^2+2x-4+1=-1+1\\\\x^2+2x-3=0\\\\x^2+3x-x-3=0\\\\x(x+3)-1(x+3)=0\\\\(x+3)(x-1)=0\iff x+3=0\ \vee\ x-1=0\\\\x+3=0\qquad\text{subtract 3 from both sides}\\x+3-3=0-3\\\boxed{x=-3}\\\\x-1=0\qquad\text{add 1 to both sides}\\x-1+1=0+1\\\boxed{x=1}[/tex]
I need help on 1 and 2 20 points
Answer:
Question 1: A. 2
Question 2: C. [tex]x>90[/tex]
Step-by-step explanation:
Question 1:
Amount to be spend = $625
Cost to rent the ball room for 3 hrs = $350
Cost of each additional hour = $125
Ms Jensen wrote the Inequality as,
[tex]625>350+125h[/tex]
h⇒ Number of additional hours.
We need to find the value of 'h'.
Solution:
[tex]625>350+125h[/tex]
Now Subtracting both side by 350 using subtraction property of Inequality we get;
[tex]625-350>350+125h-350\\\\275>125h[/tex]
Dividing both side by 125 using Division property of Inequality we get;
[tex]\frac{275}{125}>\frac{125h}{125}\\\\2.2>h[/tex]
Hence The value of 'h =2' make the Inequality true.
Question 1:
Given:
[tex]20+2<\frac{x}{3}-8[/tex]
We need to find the solution for Inequality.
Solution:
First we will add the like terms we get;
[tex]22<\frac{x}{3}-8[/tex]
Now Adding both side by 8 using addition property of Inequality we get;
[tex]22+8<\frac{x}{3}-8+8\\\\30<\frac{x}{3}[/tex]
Now multiplying both side by 3 Using multiplication property of Inequality we get;
[tex]30\times3<\frac{x}{3}\times 3\\\\90<x[/tex]
Hence The solution to given Inequality is [tex]x>90[/tex].
The point where the graphs of two equations intersect has y-coordinate 2. One equation is y = -3x + 5. Find the other equation if I s graph has a slope of 1.
Answer:
The equation of the line is y= x + 2
Step-by-step explanation:
The general representation of equation of line is y= ax + b
where a is the slope and b is the y intercept. Here slope of the line is 1 and why is point where two lines intersect hence, it is the intercept.
So, the equation of the other line is y= x + 2
Answer:
The equation of the line is y= x + 2
Step-by-step explanation:
The general representation of the equation of a line is y= ax + b
where a is the slope and b is the y-intercept. Here slope of the line is 1 and why is the point where two lines intersect hence, it is the intercept.
So, the equation of the other line is y= x + 2
Which ordered pair is a solution of the equation?
y=4x-7
choose one answer:
A. Only (2,1)
B. Only (4,9)
C. Both (2,1) and (4,9)
D. Neither
Answer:
C both
Step-by-step explanation:
There is a graph
A=1/2bh. A=200ft. H=10. What is b
Answer:
B= [tex]\frac{2A}{H}[/tex]
Step-by-step explanation:
If you noticed, A= [tex]\frac{1}{2}[/tex]BH is the formula for finding the area for a triangle. Your goal is to get B by it's self. Your first step will be to clear of the fraction first, so you will multiply both sides by 2. 2(A)=2([tex]\frac{1}{2}[/tex]BH). On the left, you have 2×A= On the right side, you have 2([tex]\frac{1}{2}[/tex]BH), but since you have a number in the equation, you will only use 2×[tex]\frac{1}{2}[/tex]. To solve 2×[tex]\frac{1}{2}[/tex], you will cnacel out both 2's and you have 1. 1×BH will still equal BH, so you are now left will B×H.
(Your new equation looks like this by the way). 2A=BH
Since you need to get B by its self, the way to clear the H away from the B is by dividing. You will now divide the B and H aswell as 2A and H. (It will look like this) [tex]\frac{2A}{H} = \frac{BxH}{H}[/tex] . (Again when you have the same number or letter, you cross it out. When you divide, you won't change anything on the left side, and all you have to do on the right id to cross out the H next to the B and cross out the H on the bottom of the equation). You should be left with [tex]\frac{2A}{H}[/tex] = B. Now you can turn it around for your final answer. B= [tex]\frac{2A}{H}[/tex].
Please let me know if i helped, how I did, and if you have any questions.
Which of the following has opposite sides that are congruent and parallel? Select all that apply.
A
a trapezoid
B
a rectangle
C
a square
D
a rhombus
Answer:
B C D i believe
Step-by-step explanation:
HELP BRAINLIEST! which of the following is a point of tangential on the circle below
Answer: D. Point B
Step-by-step explanation: the tangent line is the line outside the circle.
TEN POINTS PLEASE HELPPPPP!!!!!!
The cloud that has the least effect on the weather is
a. simple
b. stratus
c. cirrus
d. cumulus
Answer:
cirrus clouds
Step-by-step explanation:
cirrus clouds are very thin so they can't hold much water so the answer is Cirrus
P.S: Please give me brainlest i just need 2 more plz plz plz
ANSWER
Cirrus clouds
Explanation:
Because the cirrus clouds are more thin then most, therefor it cant hold as much water as other clouds. becuase its thinner it cant hold lots of water. So it is the least effective weather cloud.
c-1=8
solve each equation. check your solution
Answer:
c= 9
Step-by-step explanation:
first you would need to get the variable alone
next you would take the one and since it is subtraction you would do the opposite addition
then you would add one to each side and the two ones cancel each other out so the you add 8 and 1 and get nine so c would equal 9
Steps to solve:
c - 1 = 8
~Add 1 to both sides
c - 1 + 1 = 8 + 1
~Simplify
c = 9
Best of Luck!
There are 2,000 pounds in 1 ton .How many tons are there in 360,000 ?
40% in fraction I really need help
Answer:
2/5
Step-by-step explanation:
Answer:
2/5
Step-by-step explanation:
40%=40/100=4/10=2/5
Simplfy answer 18522/32928
Answer:
9/16
Step-by-step explanation:
18522/32928= 0.5625 which can be reconverted to a fraction, which in this case that fraction is 9/16
Answer:
1451/31914
Step-by-step explanation:
hope this helps :) have a nice day
What is the LCM of 21 and 105
the LCM of 21 and 105 is 105.
Answer:
The answer to your question is 105
Step-by-step explanation:
To get the least common factor dividing both numbers by the prime numbers starting from 2.
But these numbers are not multiples of 2, try 3
21 105 3
These numbers are not multiples of 3 let's try 5
7 35 5
These numbers are multiples of 7 7 7 7
1 1
The LCM is the product of the prime numbers = 3 x 5 x 7 = 105
At the school dance, the ratio of boys to girls is 7 to 20. If there are 80 girls, how many boys are there?
Answer:
It would be 4 to 80
Step-by-step explanation:
Answer:
28 boys
Step-by-step explanation:
For every 7 boys there are, there are 20 girls. It is given to us that there are 80 girls. To solve, divide 80 with 20:
80/20 = 4
Next, multiply 4 with 7:
4 x 7 = 28
There are 28 boys at the school dance.
what is 0.0014 in standard form ?
Answer:
Using the formula, write in standard form.
=
−
0.0014
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10
. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
1.4
×
10
−
3
Step-by-step explanation:
The decimal number 0.0014 can be written in standard form (also known as scientific notation) as 1.4 x 10^-3. This is done by shifting the decimal place so that you have a number between 1 and 10, and then indicating how many places you moved the decimal in the exponent of ten.
Explanation:The student asked to convert the decimal 0.0014 into standard form. The standard form for representing decimal numbers involves using the scientific notation which means expressing numbers as a number between 1 and 10, multiplied by the power of ten. So, 0.0014 can be written as 1.4 x 10^-3 in standard form.
This can be done through the following steps:
Decide where the decimal point needs to be for the number to be between 1 and 10. In this case, 1.4.Count how many places you had to move the decimal to get this number. In this case, 3 places.If you moved the decimal to the right, it's a negative exponent. If to the left, a positive exponent. Here, we moved right, so it's a negative exponent.In the final step, write this number times ten, raised to the power of the number of places you moved the decimal. Thus, 1.4 x 10^-3.Learn more about Standard Form here:
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Consider these three numbers written in scientific notation: 6.5 × 103, 5.5 × 105, and 1.1 × 103. Which number is the greatest, and by how many times is it greater than the smallest number?
A.
The greatest number is 5.5 × 105. It is 5 times greater than the smallest number.
B.
The greatest number is 6.5 × 103. It is 50 times greater than the smallest number.
C.
The greatest number is 5.5 × 105. It is 500 times greater than the smallest number.
D.
The greatest number is 6.5 × 103. It is 5,000 times greater than the smallest number.
E.
The greatest number is 5.5 × 105. It is 5,000 times greater than the smallest number.
Answer: C.
Step-by-step explanation: The greatest number is 5.5 × 105. It is 500 times greater than the smallest number.
This is the correct answer on the test!
The correct option is c. The greatest number is 5.5 × 105. It is 500 times greater than the smallest number.
Given information:Consider these three numbers written in scientific notation: 6.5 × 103, 5.5 × 105, and 1.1 × 103.
Calculation of the number:The greatest number should be 5.5 × 105 and this should be 500 times more as compared to the smallest number.
Learn more about the number here: https://brainly.com/question/19270423
Juan and Raj cut up a banana to put on cereal. Juan puts 17 of the banana on his bowl of cereal, and Raj puts 25 of the banana on his bowl of cereal.
What fraction of the banana did Juan and Raj put on their cereal altogether?
Answer:
17/25
Step-by-step explanation:
please help please i have to get this done
Answer:
im not sure sure but by the looks of it i think thats 3,6
Step-by-step explanation:
Answer:
slope of the given straight line in graph is -2
Step-by-step explanation:
Explanation:-
in given graph we have to choose points are A(0,3) on y-axis and B(1.5 , 0) on x- axis
let m be the slope of a line
by using slope formula is
[tex]m= \frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
m = [tex]\frac{0-3}{1.5-0}[/tex]
m= -2
another points we have choose
in given graph we have to choose points are A(0,3) on y-axis and B(2.5 , -2)
slope of a line :-
let m be the slope of a line
by using slope formula is
[tex]m= \frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
[tex]m = \frac{-2-3}{2.5-0}[/tex]
m= -2
where ever you will take point the slope of given straight line is
m = -2
What is the sum of all possible values of y if x is a positive integer, xy > 0, and 6x+2y=25?
A 5
B 7
C 8
D 15
E 20
Option E
The sum of all possible values of y is 20
Solution:
Given that,
6x + 2y = 25
Where, xy > 0
We have to find the sum of all possible values of y if x is a positive integer
We can use values of x = 1, 2, 3, 4
For x = 5 and above, y will be negative
Substitute x = 1 in given equation
6(1) + 2y = 25
6 + 2y = 25
2y = 25 - 6
2y = 19
Divide both the sides of equation by 2
[tex]y = \frac{19}{2}[/tex]
Substitute x = 2 in given equation
6(2) + 2y = 25
2y = 25 - 12
2y = 13
Divide both the sides of equation by 2
[tex]y = \frac{13}{2}[/tex]
Substitute x = 3 in given equation
6(3) + 2y = 25
2y = 25 - 18
2y = 7
Divide both the sides of equation by 2
[tex]y = \frac{7}{2}[/tex]
Substitute x = 4 in given equation
6(4) + 2y = 25
24 + 2y = 25
2y = 25 - 24
2y = 1
Divide both the sides of equation by 2
[tex]y = \frac{1}{2}[/tex]
Now add all the values of "y"
[tex]\text{Sum of possible values of y } = \frac{19}{2} + \frac{13}{2} + \frac{7}{2} + \frac{1}{2}\\\\\text{Sum of possible values of y } = \frac{19+13+7+1}{2}\\\\\text{Sum of possible values of y } = \frac{40}{2}=20[/tex]
Thus sum of all possible values of y is 20
Derive the formula for the area of a sector, and then use it to choose all that are correct.
1.
radius = 5 cm
angle = 120°
area = 26.2 cm2
2.
radius = 4 cm
angle = 105°
area = 16.7 cm2
3.
radius = 6 cm
angle = 85°
area = 23.7 cm2
4.
radius = 7
angle = 75°
area = 32.1 cm2
Answer:
Part A) [tex]A_s=\frac{\pi r^{2}}{360^o}{\theta}[/tex]
Part B) option 1,option 4
Step-by-step explanation:
Part A) Derive the formula for the area of a sector
we know that
The area of circle is equal to
[tex]A=\pi r^{2}[/tex]
The area of circle subtends a central angle of 360 degrees
so
using proportion
Find out the area of a sector [tex]A_s[/tex] by a central angle of ∅ degrees
[tex]\frac{\pi r^{2}}{360^o}=\frac{A_s}{\theta}[/tex]
[tex]A_s=\frac{\pi r^{2}}{360^o}{\theta}[/tex]
Part B) Verify each case
case 1) we have
radius = 5 cm
angle = 120°
area = 26.2 cm 2
Find the area of the sector and then compare with the value of the given area
assume
[tex]\pi=3.14[/tex]
substitute the given values
[tex]A_s=\frac{(3.14)(5)^{2}}{360^o}{120^o}[/tex]
[tex]A_s=26.2\ cm^2[/tex]
so
The given value of area is correct
case 2) we have
radius = 4 cm
angle = 105°
area = 16.7 cm 2
Find the area of the sector and then compare with the value of the given area
assume
[tex]\pi=3.14[/tex]
substitute the given values
[tex]A_s=\frac{(3.14)(4)^{2}}{360^o}{105^o}[/tex]
[tex]A_s=14.7\ cm^2[/tex]
so
The given value of area is not correct
case 3) we have
radius = 6 cm
angle = 85°
area = 23.7 cm 2
Find the area of the sector and then compare with the value of the given area
assume
[tex]\pi=3.14[/tex]
substitute the given values
[tex]A_s=\frac{(3.14)(6)^{2}}{360^o}{85^o}[/tex]
[tex]A_s=26.7\ cm^2[/tex]
so
The given value of area is not correct
case 4) we have
radius = 7
angle = 75°
area = 32.1 cm 2
Find the area of the sector and then compare with the value of the given area
assume
[tex]\pi=3.14[/tex]
substitute the given values
[tex]A_s=\frac{(3.14)(7)^{2}}{360^o}{75^o}[/tex]
[tex]A_s=32.1\ cm^2[/tex]
so
The given value of area is correct
Is (3,3) a solution to the equation y=5x
Answer:
no
Step-by-step explanation:
3=5(3)
3=15
false
Answer:
no
Step-by-step explanation:
jason bought 5 balloons . each balloon cost $.95 . how much did he pay altogether
Answer:
4.75
Step-by-step explanation:
5 times $.95. equals $4.75
To find the total cost of the balloons we can multiply.
0.95 * 5 = $4.75
Best of Luck!