6/35 fraction of people in the class are left handed
What is ratio and proportion?
Majority of the explanations for ratio and proportion use fractions. A ratio is a fraction that is expressed as a:b, but a proportion says that two ratios are equal. In this case, a and b can be any two integers. The foundation for understanding the numerous concepts in mathematics and science is provided by the two key notions of ratio and proportion.
Let the total no. of students in a class be x
then no. of boys in the class be 4x/7
no.of girls in the class be 3x/7
left handed boys =30%of 4x/7
= 3/10x 4x/7
=6x/35
Therefore, 6/35 fraction of people in the class are left handed
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A fish tank, shaped as a cube, has a volume of 36 liters, or 2, 197 in What are the dimensions of the fish
tank in inches? Use paper to show your work.
Pls Help. What are the coordinates of the y-intercept of the graph?
Attachement Added
Answer:
0, 3
Step-by-step explanation:
it intersects the y at 0,3
convert 39.999999 as a fraction.
Answer:
3999999999/100000000
Step-by-step explanation:
To write 39.99999999 as a fraction you have to write 39.99999999 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
39.99999999 = 39.99999999/1 = 399.9999999/10 = 3999.999999/100 = 39999.99999/1000 = 399999.9999/10000 = 3999999.999/100000 = 39999999.99/1000000 = 399999999.9/10000000 = 3999999999/100000000
Determine if the lines are parallel, perpendicular, or neither.
y=-2x – 4
2x + y = 5
Answer:
parallel I think
Step-by-step explanation:
move the x to the left and divide by y to simplify. the new equation for the bottom will be y=-2x+5. For it to be parallel they have to have the same slope
Rewrite sin 225 degrees in terms of its reference angle. You do not need to evaluate sin 225.
Answer:
225°: 45° (π / 4)
what is the sum of the first 25 terms of an arithematic sequence if the sum of its 8th and 18th terms is 72?
Answer:
900
Step-by-step explanation:
Find the measure of angle A.
А
64 + x
85 + x
55
Answer:
Your question is unclear
Step-by-step explanation:
can sombody help me fast ? !
Answer:
i think D
Step-by-step explanation:
Find the area of the figure shown. Please help!!!
Answer:
See attached image!
Step-by-step explanation:
Need help with school
Answer:
∠A = 126°
Step-by-step explanation:
Supplementary angles are angles that add up to equal 180°
Given that ∠B = 54°, we can subtract 54° from 180°.
180° - 54° = 126°
∠A = 126°
If my answer is incorrect, pls correct me!
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If Josh has allocated $110 for new clothing for school and there is a 10% sales tax in his state, then how much can he spend (rounded to the nearest dollar) on clothes before the sales tax is added?
Answer:
99 dollars
Step-by-step explanation:
110x.9=99
Or
110x.1=11 110-11=99
could ya'll help me you know I'm bad at it
Answer:
Jane has 30 different outfits she can choose from.
Step-by-step explanation:
Jane has 3 pairs of pants, 5 shirts for each pair of pants, and 2 shoes for each shirt. So the total amount of different outfits she can wear is [tex]3 * 5*2[/tex] = 30 different outfits.
An investment of $100 is now valued at $149.18 the interest rate is 8% compounded continuously about how long has the money been invested
question: An investment of $100 is now valued at $149.18 the interest rate is 8% per year, compounded continuously about how long has the money been invested
Answer:
5.2 years
Step-by-step explanation:
Applying
A = P(1+R/100)ⁿ.......................... Equation 1
Where A = amount, P = principle, R = rate, n = time.
From the question,
Given: A = $149.18, P = $100, R = 8%
Substitute these values into equation 1 and solve for n
149.18 = 100(1+8/100)ⁿ
149.18/100 = (1+8/100)ⁿ
1.4918 = (1+0.08)ⁿ
1.4918 = (1.08)ⁿ
Taking the Logarithm of both side
Log(1.4918) = Log(1.08)ⁿ
Log(1.4918) = nLog(1.08)
n = Log(1.4918)/Log(1.08)
n = 0.1737/0.0334
n = 5.2 years.
Hello could someone please help me with this and explain how to do it thank you:) 7n= 301
answer:
n=43
Step-by-step explanation:
Divide both sides by 7:
[tex]\frac{7n}{7}=\frac{301}{7}[/tex]
simplify: n=43
Exam Find the area of this figure. [ 2 ] square inches 9 in. 13 in. 15 in. 10 in. 4 in.
Answer:
202 Square inches and here's a cool face ツ
Answer:
202 square inches
Step-by-step explanation:
4x13=52 and 15x10=150 so 150+52=202
21 is less than or equal to -3(x-4) is less than 18
Answer:
-3 ≤ x <-2
Step-by-step explanation:
First, you should set up the equation to solve it, which is,
21 ≤ -3(x-4)<18
Then you should simplify the equation to,
21 ≤ -3x+12<18
Then subtract 12 from both sides.
9 ≤ -3x<6
Lastly, divide -3 from both sides.
-3 ≤ x<-2
Please help ASAP !!!!!!
I can't see the problem try taking another photo
what is the slope to this equation ?
Answer:
2/1 or 2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
What are the two shapes of cross-sections we could create by slicing the pyramid perpendicular to its base?
A. B. C. D.
Answer:
triangle and trapezoid
Step-by-step explanation:
The correct answer is Option B) Rectangle
What is a pyramid?A solid bounded by plane faces of which one, called the base, is a polygon and the other faces are all triangles meeting at a point outside the polygon.
Given here that the base of the pyramid is a rectangle and thus the plane slicing through the vertex along the perpendicular distance will result in two congruent rectangles at the base as the vertex projects on the midpoint of a rectangle.
Hence, the correct option is B)
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Use 3.14 for i.
21 ft
The circumference is about
ft.
Answer:
50.24
Step-by-step explanation:
C = Pi x 2 radius
have a good Day !
solve for x in the equation
Answer:
x = 12
Step-by-step explanation:
This is a supplementary angle so the right side is equal to 90°. This means the other side must also equal 90°
So subtract 20° from 90° and you get 70°
Next you can just (6(12)-2) or continuously substitute until you get the right answer.
how do you give bainlist
A high school basketball coach is selecting his team. The minimum and maximum height requirements are as follows:
Point Guard: Small Forward: Center:
6’2" – 6’6" tall at least 6’6" tall at least 6’8" tall
The heights of the Lincoln High School boys have a normal distribution with a mean height of 70 inches and the standard deviation of 4 inches.
Which statement is true?
A. About 16% of the boys are eligible to be a point guard on the team. B. About 2% of the boys are eligible to be a small forward on the team. C. About 48% of the boys are eligible to be a small forward on the team. D. About 34% of the boys are eligible to be a point guard on the team.
Answer:
B. About 2% of the boys are eligible to be a small forward on the team
Step-by-step explanation:
Recall : 1 feets = 12 inches
Point guard = 6’2" – 6’6" tall = 74 - 78 inches
Mean = 70 ; Standard deviation = 4
Z = (x - mean) / standard
P(x < 74) = (74 - 70) / 4 = 1
P(x < 78) = (78 - 70) / 4 = 2
0.97725 - 0.84134 = 0.13591
Small forward : 6'6" = 78 inches
P(x ≥ 78) = (78 - 70) / 4 = 2
P(z ≥ 2) = 0.02275 = 2.275% about 2%
Centre : 6'8" = 80
P(x ≥ 80) = (80 - 70) / 4 = 2.5
P(z ≥ 2.5) = 0.0062097 = 0.62%
About 2% of the boys are eligible to be a small forward on the team. Then the correct option is B.
What is a z-score?The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.
A high school basketball coach is selecting his team.
The minimum and maximum height requirements are as follows:
Point Guard: Small Forward: Center:
6’2" – 6’6" tall at least 6’6" tall at least 6’8" tall
The heights of the Lincoln High School boys have a normal distribution with a mean height of 70 inches and a standard deviation of 4 inches.
The value of the z-score will be
[tex]z = \dfrac{x - \mu }{\sigma}[/tex]
[tex]P(x < 74) = \dfrac{74-70}{4} = 1 \\\\P(x < 78) = \dfrac{78-70}{4} = 2[/tex]
0.97725 - 0.84134 = 0.13591
Small forward: 6'6" = 78 inches
[tex]P(x \geq 78) = \dfrac{78- 70 }{4} 2\\\\\\P(z \geq 2) = 0.02275 = 2.275 \%[/tex]
Centre: 6'8" = 80 inches
[tex]P(x \geq 80) = \dfrac{80- 70 }{4} 2\\\\\\P(z \geq 2.5) = 0.0062097= 0.62 \%[/tex]
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What number multiplied by the expression 5 x 10 to the third power is equivalent to the expression 5 x 10 to the sixth power?
Α. 3
B. 100
c. 1,000
D. 5,000
Answer:
I'm pretty sure its 3
Step-by-step explanation:
Answer:
3
Explanation:
5 x 10 to the 3rd power equals 5,000 and
5 x 10 to the 6th power equals 5,000,000
when the number is at 5,000 move 3 times to the right and then you get your answer.
A semicircle with diameter 8 inches is connected to a triangle with a base length of 8 inches. The height of the triangle is 3 inches. What is the area of the composite figure? (8π + 6) in.2 (8π + 12) in.2 (8π + 18) in.2 (8π + 24) in.2
Answer:
B or (8π + 12) in.2
Step-by-step explanation:
The area of the composite figure = (8π + 12) [tex]inch^{2}[/tex].
How to estimate the area of the composite figure?The composite figure is made up of a semicircle and an isosceles triangle.
The area of a semicircle = (1/2)π[tex]r^{2}[/tex]
radius = 4 inch
When we substitute, the area of the semicircle is
= (1/2)π[tex]\times[/tex]16
= 8π [tex]$inch^{2}[/tex]
Area of the isosceles triangle = (1/2)bh
= (1/2)(4+4)[tex]\times[/tex]3
= 12 [tex]inch^{2}[/tex]
We add the two areas to acquire the area of the composite figure to be: (8π + 12) [tex]inch^{2}[/tex]
The area of the composite figure = (8π + 12) [tex]inch^{2}[/tex].
Therefore, the correct answer is option b. (8π + 12) in.2
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Help find the value of x pls
Answer:
x=2°
Step-by-step explanation:
The given angles are corresponding angles.
Corresponding angles are congruent.
7x+3=8x+1
2=x
x=2
BEST GETS BRAINLIST! 16 Points for this! Help please, attached below, please do a step by step of The SohCahToa method. I need to find the height, round to the nearest hundred decimal.
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Explanation:
It's not stated, but I'm assuming your teacher meant to say AB = BC since triangle ABC is isosceles.
From that, we can prove that triangle ADB is congruent to triangle CDB by using the HL rule. Then that means AD = DC = 3 and AC = AD+DC = 3+3 = 6.
Now focus on triangle ADB. It's a right triangle which allows us to use one of the sine, cosine or tangent ratios. We'll use cosine to connect the adjacent side AD = 3 with the unknown hypotenuse AB. The reference angle is BAC = 55. We can shorten this to angle A = 55 if we focus on triangle ADB.
So,
cos(angle) = adjacent/hypotenuse
cos(A) = AD/AB
cos(55) = 3/AB
AB*cos(55) = 3
AB = 3/cos(55)
AB = 5.2303 approximately, make sure your calc is in degree mode
Therefore, the perimeter is
p = AB+BC+AC
p = 5.2303 + 5.2303 + 6
p = 16.4606
p = 16.46
Answer:
p = 16.4
Step-by-step explanation:
cos 55 = 3/x
x = 5.2
BA = 5.2
line AD is = to line DC because it is an isoscles triangle
BC is congruent to BA so BC is also 5.2
add all sides to find perimeter
5.2 + 5.2 + 6 = 16.4
Does anyone know what the answer to this is?? Please
What do teens say when they are having a difficulty with even numbers in their math class
the answer is- I can't even. I think lol
As solving more complex problems involves a degree of planning as to how you will arrive at the answer, dyspraxic learners may find it difficult to get started. They can also struggle with the sequence of steps and correct order of operations in math. Attention difficulties can affect math skills in a number of ways.
PLEASE HELP I NEED THE ANSWER ASAP!!
Answer:
A :)
Step-by-step explanation:
