Answer:
1/4Step-by-step explanation:
Rolling two consecutive odd numbers when a pair of dice is rolled.
There are 3/6 (1, 3, 5) odd numbers on a fair dice.
3/6 = 1/2
The dice is rolled twice.
1/2 × 1/2 = 1/4
Answer:
Your correct answer is 1/4
Step-by-step explanation:
The numbers 1, 3, and 5 are all odd numbers on a fair dice.
3/6 = 1/2
The dice will be rolled 2 times.
1/2 × 1/2 = 1/4
5 mL =____gtt
A. 75
B. 100
C. 50
D. 25
Answer:
Answer:
b. 100
Step-by-step explanation:
Does it matter which dimensions you select for the length and the width when you find the area of a rectangle? Explain. I need this by 1 : 36
Answer:
The area of a rectangle is the product of the length and the width of the rectangle.
The dimensions chosen for length and width of a rectangle must be the lengths of two adjacent sides. The area is the product of the two dimensions. It does not make a difference which one you call length and which one you call width since length * width = width * length because of the commutative property of multiplication.,
Answer:
To find the area you need both the length and width
A= lw
Practically it doesn't matter which one you call length or width as long as both of them used in the calculation. The product of them doesn't change.
Olivia has $150 in her savings account. She will save and deposit $40 each week. What inequality show how many weeks it will take her to have at least $400 in her account?
Answer:
40x+150>=400 i think
Step-by-step explanation:
40x+150>=400
40x>=250
x=6.25
Determine whether the function is linear or quadratic. Identify the quadratic, linear, and constant terms.
Answer:
B. Quadratic Function
Quadratic Term: 15x^2
Linear Term: 9x
Constant Term: -6
Step-by-step explanation:
1. F.O.I.L (firsts, outers, inners, lasts) the function
BREAK APART: 3x(5x - 2) and 3(5x - 2)
(fx) = 15x^2 - 6x + 15x - 6
f(x) = 15x^2 + 9x - 6
There is a square in the function, therefore it is quadratic. The quadratic term is the term being squared, and you go from there.
Using the graphing function on your calculator, find the solution to the system
of equations shown below.
y-2x = -2
y- x = 1
A. More than 1 solution
B. x = 4, y = 3
C. No solution
O D. x = 3, y = 4
Answer:a x=3 y=-4
Step-by-step explanation:
Two parallel lines are intersected by a transversal. Prove: Angle bisectors of the same side interior angles are perpendicular.
Answer:
The answer is given below
Step-by-step explanation:
From the diagram below,Let the line AB and CD be parallel line. Let transversal line EF cut AB at Y and transversal line EF cut CD at Z.
The bisector of ∠BYZ and ∠DZY meet at O. Therefore ∠YZO = ∠DZY/2 and ∠ZYO = ∠BYZ/2
∠BYZ and ∠DZY are interior angles.
∠BYZ + ∠DZY = 180 (sum of consecutive interior angles)
∠BYZ/2 + ∠DZY/2 = 180/2
∠BYZ/2 + ∠DZY/2 = 90°
In ΔOYZ:
∠YZO + ∠ZYO + ∠YOZ = 180 (sum of angles on a straight line).
But ∠YZO = ∠DZY/2 and ∠ZYO = ∠BYZ/2
∠DZY/2 + ∠BYZ/2 + ∠YOZ = 180
90 + ∠YOZ = 180
∠YOZ = 180 - 90
∠YOZ = 90°
Therefore Angle bisectors of the same side interior angles are perpendicular.
The tabletop below is made from right triangles, each the same size. Your company charges $0.20 per square inch for sanding the tabletop. Which of the following is closest to the tabletop’s area, in square inches? 550 950 2,800 3,950 5,600
Answer:
correct answer is 2800.
Step-by-step explanation:
You take the area of the square which is 20x20 = 400.
There is 5 squares 400x5 = 2000
There is 4 triangles--which is 1/2 the area of 1 square (In this case).
One triangle = 200
200x4 = 800
2000 + 800 = 2800
Answer:
Step-by-step explanation:
550
Find the volume of a cylinder that has the following dimensions. Do not round your answer.
(Use 3.14 for pi.)
Radius = 5 cm
Height = 0.25 m
Volume = __ cm3
Answer:
19.625 cm^2
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h
V = 3.14 * 5^2 * .25
V =19.625 cm^2
In a class of 35, students are numbered from 1 to 35. The ratio of boys to girls is 4:3.
The roll numbers of students begin with boys and end with girls. Find the probability
that a student selected is either a boy with prime roll number or a girl with composite roll number or an even roll number.
Answer:
The probability that a student selected is either a boy with prime roll number or a girl with composite roll number or an even roll number is [tex]\dfrac{4}{7}[/tex] .
Step-by-step explanation:
We are given that in a class of 35, students are numbered from 1 to 35. The ratio of boys to girls is 4:3.
The roll numbers of students begin with boys and end with girls.
Firstly, we will calculate the number of boys and girls in the class.
Number of boys in the class = [tex]\frac{4}{7}\times 35[/tex]
= [tex]4 \times 5[/tex] = 20
Number of girls in the class = [tex]\frac{3}{7}\times 35[/tex]
= [tex]3 \times 5[/tex] = 15
So, the roll numbers of boys are numbered as = {1, 2, 3,..........., 19, 20}
and the roll numbers of girls are numbered as = {21, 22, 23,..........., 34, 35}
Prime numbers are those numbers that come in their own tables and 1.
The roll number of boys having prime numbers are = {2, 3, 5, 7, 11, 13, 17, and 19}
There are total of 8 boys.
Composite numbers are those numbers that come in the tables of other numbers also.
The number of girls with composite roll number or an even roll number = {21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, and 35}
There are a total of 12 girls.
So, the total number of favorable boys and girls = 8 + 12 = 20
Total number of students in class = 35
So, the probability that a student selected is either a boy with prime roll number or a girl with composite roll number or an even roll number is given by = [tex]\frac{20}{35}[/tex] = [tex]\frac{4}{7}[/tex] .
Hey guys please help find the area
Answer:
70.15 ft²
Step-by-step explanation:
The figure consists of two adjacent equilateral triangles (all angles are 60 degrees and all outer edges are 9 ft).
If we focus on one of these equilateral triangles, we can get the final area by multiplying the area of that one triangle by 2.
The formula for the area of a triangle is (1/2)(base)(height). Remembering to multiply this by 2, we get
area of figure = (base)(height)
√3
= (9 ft)(9 ft)(--------) = (81 ft²)(1.732) = 70.15 ft²
2
Help please....Thanks
Answer:
16 x 66 = 1056mm^2
Step-by-step explanation:
What's the answerrrrr?
Answer:
A. Positive
Step-by-step explanation:
Since 48 is way larger than 39, we know that if we subtract 39 from 48, we will still get a positive number.
Answer:
A. Positive
Step-by-step explanation:
Im not very good at explaining. I hope I helped :)
Find the perimeter of the right triangle. If necessary, round to the nearest tenth.
A right triangle with side 13 inches, side 14 inches, and blank hypotenuse.
a.
91 in.
b.
46.1 in.
c.
19.1 in.
d.
182 in
Answer:19.1
Step-by-step explanation:
Answer:
B. 46.1 in
Step-by-step explanation:
First, we must find the hypotenuse of the triangle.
Since this is a right triangle, we can use Pythagorean Theorem.
a^2+b^2=c^2
where a and b are the legs and c is the hypotenuse.
13 and 14 are the legs, because they form the right angle. x is the hypotenuse because it is opposite the right angle.
13^2+14^2=x^2
Evaluate each exponent.
13^2=13*13=169
14^2=14*14=196
169+196=x^2
Add 169 and 96
365=x^2
Take the square root of both sides.
√365=√x^2
√365=x
19.1049732=x
Round to the nearest tenth.
19.1=x
The hypotenuse is 19.1 inches
Now, find the perimeter. Add up all the sides of the triangle: the legs (13 in and 14 in) and the hypotenuse (19.1 in)
13 in +14 in +19.1 in
46.1 in
The perimeter is 46.1 inches and B is correct.
Determine the total number of roots for each polynomial function.
g(x) = 5x - 12/2 + 3
g(x) = (x - 5)^2 + 2x^3
At the root this function is equal to 0
(x - 5)^2 + 2x^3= 0
Rearrange:
(x - 5)^2 = -2x^3
Now if you plot these two functions you need to check how many times they intersect. For this you do not need to be precise just scetch approximately.
If you do that, you will see that they meet once. I cannot really use this site to plot, but you can use other tools for that if you do not know how to do it.
What is the form of the Sum of Cubes identity?
Answer:
D. a³+b³=(a+b)(a²-ab+b²)
Explanation:
That is the form of the Sum of Cubes identity
In the circle below, suppose m FEH=272º and m EFG=116º. Find the following.
Answer:
m∠FEH = 44°
m∠EHG = 64°
Step-by-step explanation:
1) The given information are;
The angle of arc m∠FEH = 272°, the measured angle of ∠EFG = 116°
Given that m∠FEH = 272°, therefore, arc ∠HGF = 360 - 272 = 88°
Therefore, angle subtended by arc ∠HGF at the center = 88°
The angle subtended by arc ∠HGF at the circumference = m∠FEH
∴ m∠FEH = 88°/2 = 44° (Angle subtended at the center = 2×angle subtended at the circumference)
m∠FEH = 44°
2) Similarly, m∠HGF is subtended by arc m FEH, therefore, m∠HGF = (arc m FEH)/2 = 272°/2 = 136°
The sum of angles in a quadrilateral = 360°
Therefore;
m∠FEH + m∠HGF + m∠EFG + m∠EHG = 360° (The sum of angles in a quadrilateral EFGH)
m∠EHG = 360° - (m∠FEH + m∠HGF + m∠EFG) = 360 - (44 + 136 + 116) = 64°
m∠EHG = 64°.
Alexis wants to make a paperweight at pottery class. He designs a pyramid-like model with a base area of 100 square centimeters and a height of 6 centimeters. He wants the paperweight to weigh at least 300 grams.
Answer:
The density of the material must be at least 1.5 g/cm³.
Step-by-step explanation:
Which of the following is the correct scientific notation for 0.00566 meters?
A. 566 x 10-5 m
B. .566 x 10-3 m
C. 5.66 x 10-3 m
D. 5.66 x 103 m
I NEED HELP !!! If the probability of an event is StartFraction 2 over 7 EndFraction, what must be the probability of its complement?
StartFraction 1 over 7 EndFraction
StartFraction 2 over 7 EndFraction
StartFraction 4 over 7 EndFraction
StartFraction 5 over 7 EndFraction
Answer:
The answer is StartFraction 5 over 7 EndFraction
Answer:
The probability of the complement of the original event is 5/7.
Step-by-step explanation:
The probability of the complement of an event is 1 less the probability of the event, so
We get: 1 - 2/7, or 5/7
The probability of the complement of the original event is 5/7.
Note that 5/7 and 2/7 add up to 7/7, or 1.
You are miguel Cervantes de Navas y colon, captain in the royal spanish army in Sevilla in the year 1842. Outside your barracks window is a stack of cannonballs, as shown in the illusion. On an idle afternoon you dicide to calculate the number of cannonballs in the stack. What is the number of cannonballs? A. 650 B. 506 C. 623 D. 571
Answer:
650
Step-by-step explanation:
1st row has 1 ball
2nd row has 4 balls
3rd row has 9 balls
4th row has 16 balls
We can see that the number of balls is the square of the row number. There are a total of 12 rows. So, rest of the rows has:
5th row has 25 balls
6th row has 36 balls
7th row has 49 balls
8th row has 64 balls
9th row has 81 balls
10th row has 100 balls
11th row has 121 balls
12th row has 144 balls
If we add up all those, we get total number of balls
please mark me brainliest!
Point Q(-1,5) is reflected across the line x=-1. What are the coordinates of its image?
(15)
(1-5)
-1.5)
Answer:
(- 1, 5 )
Step-by-step explanation:
Since the x- coordinate of Q, x = - 1 lies on the line of reflection.
The point Q will remain unchanged, that is
coordinates of image are (- 1, 5 )
Simplify (*x* +2x? - 5x)+(-3x + x +1)+(3+* + 2x).
A. 3x + 2x* - 3x2 – 3x² +1
B 4x*- 3x + x2 + 4x +2
C. 4x4 - 3x + 3x² + 4x +2
D. 4x*- 3x + 3x? - 3x + 1
Answer:
D
Step-by-step explanation:
4x^4+3x^2-3x^3-3x+1
How many students all together?
Answer:
from the top of my head if I read the bars right I think its 98 but I could really see the bars
Answer:
102
Step-by-step explanation:
24+12+5+17+6+19+4+15= 102
HELP ASAP Three generous friends, each with some cash, redistribute their money as follows: Ami gives enough money to Jan and Toy to double the amount that each has. Jan then gives enough to Ami and Toy to double their amounts. Finally, Toy gives Ami and Jan enough to double their amounts. If Toy has $36 when they begin and $36 when they end, what is the total amount that all three friends have?
Answer:
$252
Step-by-step explanation:
This is quite a neat question, with no fixed equation. Given that each person gives the other two enough money to double their cash, if Toy had 36 dollars beginning, and 36 at the end - presumably the cash of each person, ( their starting and original ) should be the same as well. Respectively each should be a multiple of 36 dollars.
Jan's " give away " = Ami + 36, Jan - 108, Toy + 72
Toy's " give away " = Ami + 72, Jan + 36, Toy - 108
Therefore, we can conclude that Ami = 144 at the start, presuming he gave away 108 dollars, with a remaining 36. Jan, having 144 dollars ( after having his 72 dollars doubled by Ami ) gives 36 to Ami to double his amount, and 72 to double Toy's doubled amount, remaining with 36 dollars. Now Ami has 72 dollars, Jan has 36, and Toy has 144. Then, Toy double's Ami and Jan's amount, giving away 72 and 36 dollars, remaining with 36 dollars himself. Therefore, Ami has 144 dollars, Jan has 72 dollars, and Toy has 36 dollars both at the beginning and end.
144 + 72 + 36 = 252 dollars ( in total )
Answer:
The answer is 252
Step-by-step explanation:
25. Simplify the following expression.
Question 25 please
I hope this helps you
Answer:
3 -√5
Step-by-step explanation:
(√5 + 1) / (2 + √5)
Multiply top and bottom of the fraction by the conjugate of 2 + √5 which is 2 - √5.
By doing this we rationalise the denominator:
= (√5 + 1 ) * ( 2 - √5) / (2 + √5)(2 - √5)
= (√5 + 1 ) * ( 2 - √5)/ (4 - 2√5 + 2√5 - 5)
= (2√5 - 5 + 2 - √5) / (4 - 5)
= (√5 - 3) / -1
= 3 -√5
Name the similar triangles. ΔABC ~ ΔDEF ΔABC ~ ΔEDF ΔABC ~ ΔDFE ΔABC ~ ΔFED
Answer:
Since ∠E ≅ ∠A and ∠D ≅ ∠B, the answer is ΔABC ~ ΔEDF.
Answer:
option 2
Step-by-step explanation:
Instructions
Search your home for a rectangular prism. Some examples are a cereal
box, a CD case, or a coffee table. Measure your prism using appropriate units, such as inches, centimeters, or feet.
Complete the following. Show all work for calculations.
Part 1).List the dimensions of your box. Be sure to include the units (in, cm, ft, etc.).
Length: 3 1/2in
Width: 1 1/2in
Height: 7in
Part 2) Describe the shape of the cross section when the box is cut parallel to the base.
• The cross section had a rectangular shape and goes through the box minimizing the width of the shape.
Part 3) What is the surface area of the box?
• 80.5 square inches
Part 4) What is the surface area of the box if it is scaled up by a factor of 10?
• 805 square inches
Part 5) What is the volume of the box?
• 36.75 square inches
Part 6) What is the volume of the box if it is scaled down by a factor of 1/10?
PLEASE HELP ASAP Eva is at a sushi restaurant. She ordered 2 pieces of squid for a total of $3.50, 1 piece of eel for $3.25, 3 pieces of tuna for a total of $6.75, and 4 pieces of crab for $8.00. Which list shows the unit cost of each pieces of sushi from least to greatest? A. squid, crab, tuna, eel B. eel, squid, tuna, crab C. squid, eel, crab, tuna D. eel, tuna, crab, squid
Answer:
I do not have enough time to put them in order if you don't mind but i can list the prices.
Step-by-step explanation:
each piece of squid is 1.25
each piece of tuna is 3.25
each piece of crab is 2.00
hope this helps <3
Answer:
A
Step-by-step explanation:
Construction crews A,B,C and D build a 1200 meter long road. Team A builds 1/2 of the total length built by the other 3 teams. Team B builds 1/3 of the total length built by the other 3 teams. C builds a section that is 1/4 of the length built by the other teams. How many meters did Team D build
Answer:
260 meters.
Step-by-step explanation:
It is given that construction crews A,B,C and D build a 1200 meter long road.
[tex]A+B+C+D=1200[/tex] ...(1)
Team A builds 1/2 of the total length built by the other 3 teams. So,
[tex]A:(B+C+D)=1:2[/tex]
It means total distance divided in 1:2.
[tex]A=1200\times \dfrac{1}{1+2}=1200\times \dfrac{1}{3}=400[/tex]
Similarly,
Team B builds 1/3 of the total length built by the other 3 teams.
[tex]B:(A+C+D)=1:3[/tex]
It means total distance divided in 1:3.
[tex]B=1200\times \dfrac{1}{4}=300[/tex]
C builds a section that is 1/4 of the length built by the other teams.
[tex]C:(A+B+D)=1:4[/tex]
It means total distance divided in 1:4.
[tex]C=1200\times \dfrac{1}{5}=240[/tex]
Now, put A=400, B=300 and C=240 in (1).
[tex]400+300+240+D=1200[/tex]
[tex]D=1200-940[/tex]
[tex]D=260[/tex]
Therefore, 260 meters build by D.
23 more than the product of 7 and a number
Answer:
7x + 23
Step-by-step explanation:
Remember BPEMDAS.
Product of 7 and a number means 7 times a variable: 7x
23 more than part means 23 + whatever we just did, so:
7x + 23
Answer:
23+7x
Step-by-step explanation:
23 + (7 * x)
23+7x