the ratio would be 3/4 : 1
Final answer:
The ratio of Russel's weight to Brooke's weight, given that Russel's weight is 3/4 of Brooke's, is 3:4.
Explanation:
The student is asking how to find the ratio of Russel's weight to Brooke's weight given that Russel's weight is 3/4 of Brooke's weight. To find this ratio, it's straightforward since the value 3/4 already represents the ratio of Russel's weight to Brooke's weight.
Therefore, the ratio of Russel's weight to Brooke's weight is 3:4. This simply means that for every 3 parts of weight that Russel has, Brooke has 4 parts of weight. Ratios are usually expressed in simplest form, and since 3/4 is already in its simplest form, we use it as it is.
I'm having trouble with figuring out a question in algebra. It is: 1/8 times x = 1.
Answer:
8
Step-by-step explanation:
answer is 8 because 1/8 times 8 equals 1
Which is a correct first step for solving this equation? -2x+7+5x-4=2x-6
Answer:
I gave you the first step(s) for solving it, now learn. Comment on this if you still don't get it.
Step-by-step explanation:
Solve -2x+7 first
then 5x+4
then 2x-6
Answer:
x= -9
Step-by-step explanation:
-2x+7+5x-4=2x-6
first you need to combined like term
3x + 3 = 2x-6
-3 -3
3x = 2x-9
-2x -2x
1x = -9
1x is x and x equal -9
Defining congruent triangles
Answer:
E -->R
D-->K
O-->O
Step-by-step explanation:
Assuming you are asking for congruent parts, correspondence is the part which corresponds and is also equal.
Here Angle E corresponds and is congruent to Angle R in these congruent triangles.
Angle D is congruent and corresponds to Angle K for these congruent triangles.
Angle O is equal to Angle O as they are vertical angles across a vertex.
Congruent triangles, in mathematics, are triangles that are of the same size and shape, meaning their corresponding sides and angles are equal. An example would be two triangles each with sides of 3, 4, and 5 units.
Explanation:In mathematics, specifically in geometry, congruent triangles are defined as triangles that have the same size and shape. This means that their corresponding sides are of equal length, and their corresponding angles are of equal measure. The concept of congruence is important in many aspects of geometry, including the study of shapes, symmetry, and transformations.
Examples of Congruent Triangles:If we have two triangles, Triangle A (with sides of 3, 4, and 5 units respectively) and Triangle B (with sides of 3, 4, and 5 units as well), these two triangles are congruent, as the lengths of their corresponding sides are equal. You could rotate, flip or move one to coincide exactly with the other, showcasing their congruency.
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A diameter of a circle had endpoints of (-5, 6) and (-5,-2). What is the equation of this circle?
Answer: OPTION A
Step-by-step explanation:
Apply the formula for calculate the distance between two points to know the value of the diameter of the circle:
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\D=\sqrt{(-5-(-5))^2+(-2-6)^2}\\D=8[/tex]
The equation of the circle is standard form is:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Where r is the radius and (h,k) is the point of the center of the circle.
As we know the diameter, we can find the radius:
[tex]r=\frac{8}{2}=4[/tex]
Substitute it into the equation:
[tex](x-h)^2+(y-k)^2=(4)^2[/tex]
[tex](x-h)^2+(y-k)^2=16[/tex]
Then, the answer is:
[tex](x+5)^2+(y-2)^2=16[/tex]
What is the volume of the cone below radius 4 height 27? NEED HELP ASAP THX
The volume of the cone is 144π units³
Given,
Radius of cone (r) = 4
Height of cone (h) = 27
What is the volume of a cone?The volume of a cone is defined as the amount of space occupied by a cone in a three-dimensional plane.
∵ Volume of the cone (V)=1/3πhr²
Substitute the values of h and r,
V = 1/3π(27)(4)²
V = 144π units³
Hence, The volume of the cone is 144π units³
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The length of a rectangle is 2 times its width . If the perimeter of the rectangle is 36 inches, find its length and width
Answer:
Step-by-step explanation
If breadth =x
Length =2x
Perimeter = 2x +x +2x+x
36=6x
X=6
Therefore breadth =6
Length =12
The question asks about finding the length and width of a rectangle given its perimeter. By setting up and solving an equation, we found that the rectangle's width is 6 inches, and its length is 12 inches.
Explanation:Given that the length of a rectangle is 2 times its width, and the perimeter of the rectangle is 36 inches, we are asked to find the length and width of the rectangle. We can start by defining the width as 'w' and the length as '2w'. The formula for the perimeter of a rectangle is 2(length + width). We can substitute our definitions of length and width into this formula to get 2(2w + w) = 36. Simplifying this gives 3w = 18, so the width is 6 inches. Therefore, the length is 2 × 6 = 12 inches.
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Jen spent $20 at the fair. She spent half of her money on admission and 18% on food. If she spent the rest on rides, how much did she spend on rides?
Step-by-step explanation:
Half of 20 is 10.
18 percent of 20 is 3.6
20-13.6 is 6.4 so she spent
6 dollars and 40 cents on rides
Hhhhhhhhhhhhhhhhhhhhhhh
Answer:
A
Step-by-step explanation:
Answer:a
Step-by-step explanation:
-0.2x^2+0.9x+0.6=y
What's the vertex form for this equation?
Answer: y = -0.2(x - 2.25)² + 1.6125
Step-by-step explanation:
[tex]y = -0.2x^2 + 0.9x + 0.6\\\\y - 0.6 = -0.2x^2 + 0.9x\\\\y - 0.6 =-0.2(x^2-4.5x)\\\\y-0.6+\underline{(-0.2)(2.25)^2}=-0.2(x^2-4.5x+\underline{2.25^2})\\\\y-0.6-1.0125=-0.2(x-2.25)^2\\\\y-1.6125=-0.2(x-2.25)^2\\\\y=-0.2(x-2.25)^2+1.6125[/tex]
I have 11 red marbles and 4 blue marbles in a bag if I choose one what color will it be
it will most likely be red
Red
The simplified ratio is for every 1 blue marble there is 2.75 red marbles. Do you are more likely to pull out red.
Please help me o have to turn this in tomorrow and I don’t want to fail
B=5 units that is the answer
I need help in these please
1) The sum of an Octagon is 1080°
And all it's sides are congruent (same size, same angle measure)
And an Octagon has 8 sides
So do,
1080 ÷ 8 = 135°
Each side equals to 135°
2) A triangle adds up to 180°.
We have one angle that's 45° and another angle that has a little □ in it.
That little square (□) is called a right angle which = 90°
So do
90 + 45 = 135
180 - 135 = 45
So the value of x is 45°
If a pitch from a moving vehicle sounds lower to a hearer, where is the vehicle in relations to the hearer? A. Past the hearer B. Before the hearer C. Above the level of the hearers ear D. Below the level of the hearers ear
Answer:
a
Step-by-step explanation:
give the other kid brainiest
The population of the United States is 3 × 108 people, and the population of the world is 6.9 × 109 people. How many times larger is the world population? Write your answer in standard notation.
The world population is approximately 23 times larger than the population of the United States.
Explanation:The question is asking how many times larger the world population is compared to the population of the United States. You can determine this through division. In this case,
6.9 × 109 (the world population) divided by 3 × 108 (the US population) equals approximately 23. This means that the world population is approximately 23 times larger than the population of the United States.
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The answer is expressed in standard notation as 23.
To calculate how many times larger the world population is compared to the United States, we divide the world population by the population of the United States. Given the world population as 6.9 × 10^9 people and the U.S. population as 3 × 10^8 people, we perform the following calculation:
6.9 × 10^9 ÷ 3 × 10^8 = 23 times larger.
When we divide these two numbers, we subtract the exponents (since the bases are the same) resulting in 10^1, which is just 10. Multiply the non-exponential part: 6.9 ÷ 3, which equals 2.3. Therefore, 2.3 × 10 tells us that the world population is 23 times larger than the population of the United States. To write this in standard notation, we simply say the world population is 23 times larger.
HELP ME PLZ
(50 POINTS)
➷ The formula for circumference is [tex]\pi d[/tex]
1) [tex]\pi d = 31.4[/tex]
Divide both sides by [tex]\pi[/tex]
d = 9.99 (consider this to be 10)
Half this to find the radius
10/2 = 5
It would be figure B.
2) [tex]\pi d = 37.68[/tex]
Divide both sides by [tex]\pi[/tex]:
d = 11.99 (consider this to be 12)
Divide by 2 to find the radius:
12/2 = 6
It would be figure C.
3) area = [tex]\pi r^2[/tex]
[tex]\pi r^2 = 153.86[/tex]
r^2 = 48.97515909
r = 6.998 (consider this to be 7)
It would be figure D
4) [tex]\pi r^2 = 113.04[/tex]
r^2 = 35.98174
r = 5.998 (consider this to be 6)
It would be figure C.
5) radius = diameter / 2
radius = 3
[tex]\pi (3)^2 = 28.27433[/tex]
It would be option C
✽➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
↬ ʜᴀɴɴᴀʜ ♡
he is right
becasue he knows what he is talking about
Triangle ABC has measures a equals 2 b equals 2 and angle a equals 30 degrees what is the measure of angle B
The answer is: Angle B is 30°
Why?Since we know that both sides, a and b are equal to 2, and angle A is equal to 30°, we can conclude that angle B is also equal to 30°. Also, we can know that the other angle (C) will be equal to 120° since the sum of all the angles in a triangle will be always equal to 180°.
Have a nice day!
Answer:
B: 30 degrees
Step-by-step explanation:
a=2
b=2
<b = 30
Plz help me i need it
Answer:
13x^3-2x^2+3x+13
Step-by-step explanation:
you add the like terms. For example, you can add 3x^2 and 2x^2, but not 6 and 2x^2.
Answer: 13x³ - 2x² + 3x + 13
Step-by-step explanation:
5x³ + 3x² - 5x + 4
+ 8x³ - 5x² + 8x + 9
13x³ - 2x² + 3x + 13
If each point in the diagram can act as an endpoint, how many distinct line segments can be formed using the set of points
A. Three
B. Four
C. Five
D. Six
Answer:
Option D 6 is the answer.
Step-by-step explanation:
the given points are A, D, C and B. If each point in the diagram can act as end points, we have to calculate number of distinct line segments formed.
This ca be calculated in two ways.
(1) We will form the line segments
AB, AC, AD, BC, BD, DC
Therefore 6 segments can be formed.
(2) By combination method
Number of segments = [tex]^{4}C_{2}[/tex]
= [tex]\frac{4!}{2!2!}=\frac{4\times 3\times 2\times 1}{(2\times 1)\times (2\times 1)}[/tex]
= [tex]\frac{4\times 3}{2\times 3}=\frac{12}{2}[/tex]
= 6
Option D 6 is the answer.
Answer:
6
Step-by-step explanation:
possible points are:
ad
ac
ab
dc
db
cb
For a small music concert, each child in attendance will get a free toy trumpet. Five adults are expected for every 2 children. Find how many children are expected if there are 15 adults, 25 adults, and 40 adults.
Answer:
If there are 15 adults we can expect 6 children, for 25 adults we can expect 10 children, and for 40 adults we can expect 16 children.
Is any whole number with 5 digits greater than any whole number with 4 digits
Answer:
Yes
Step-by-step explanation:
If you had 52,134 and 7,623, which one is greater? 52,134 because its in the ten thousands and 7,623 is in the thousands.
Please help. Ima have to turn this is tomorrow.
Answer:
A) 7x + (-2)
B) 2x + (-12)
C) 4x + (-16)
D) 6x - 4
Step-by-step explanation:
A=
(-1) + 4x + 2 + 2x + x
7x + (-1) + 2
7x + (-2)
B=
-8x + 4 + (-3) + 10x
2x + 4 + (-3)
2x + (-12)
C=
(-4) + 1x (Squared) + 3x + 4
(-16) + 1x (Squared) + 3x
(-16) + 1x + 3x
4x + (-16)
D=
2(3x - 2)
(6x - 4)
6x - 4
what is the 19th term of a geometric sequence where a1=8 and a9=360. Round the common ratio and 19th term to the nearest hundredth.
REALLY need help on this one please please.
Answer:
Step-by-step explanation:
[tex]a_{1} = 8\\a_{9} = 360 = a_{1} \cdot r^9 = 8 \cdot r^9\\r = \sqrt[9]{\frac{360}{9} } \cong 1.53[/tex]
By the formula of a geometric series:
[tex]S_{n} = a \cdot \frac{1-r^n}{1-r} => S_{19} = 8 \cdot \frac{1-1.53^{19}}{1-1.53} = 6091.54[/tex]
Answer:
r = 1.6
a19 = 37800
Step-by-step explanation:
First term [tex] a_1 = 8 [/tex] and [tex] a_9 = 360 [/tex] of a geometric sequence and we are to find the 19th term along with the common ratio for this sequence.
We know that the general term of a Geometric Sequence is given by:
[tex]a_n= a \cdot r^{n-1}[/tex]
where [tex]a_n[/tex] is the nth term, [tex]a[/tex] is the first term, [tex]n[/tex] is the number of terms and [tex]r[/tex] is the common ratio.
Substituting the given values in the above formula to get:
[tex]360 = (8)*(r)^(9-1)[/tex]
[tex]360 = 8*(r^8)[/tex]
[tex]r^8 = \frac{360}{8}[/tex]
[tex]r^8 = 45[/tex]
r = 1.6
Finding the 19th term:
[tex]a_n= a \cdot r^{n-1}[/tex]
[tex]a_{19}= 8 \cdot 1.6^{19-1}[/tex]
a19 = 37800
PLEASE HELP!! 20 points :)
Answer:
25
Step-by-step explanation:
God I hate these xD
I am gonna try my best to explain how to do this :)
20) Use the distributive property to factor the expression. 10xz − 20yz A) z(10x − 20y) B) 10(xz − 2yz) C) 10z(x − 2y) D) xyz(10 − 20)
Answer:
C. 10z(x - 2y)
Step-by-step explanation:
10xz − 20y
Factor the terms
Factors of 10xz = 2 × 5 × x × z
Factors of -20yz = (-1) × 2 × 2 × 5 × y × z
Identify their greatest common factor
The common factors are 2, 5, and z. The greatest common factor is 10z.
Rewrite them with the GCF as a factor
10xz = 10z × x
-20yz = 10z × (-2y)
Replace the terms in the original expression with the factored terms
10xz − 20yz = 10z(x) + 10z(-2y)
Use the distributive property to isolate the greatest common factor
10z(x) + 10z(-2y) = 10z(x - 2y)
A scientist looks at a bacterium and a virus in a lab. The bacterium has a diameter of meters. The virus has a diameter of meters. Which statement accurately compares the sizes of the specimens?
Answer:
"The diameter of the bacterium is 10 times greater than that of the virus."
Step-by-step explanation:
Size of bacteria is 10^-6
Size of virus is 10^-7
Definitely the bacteria is larger. How many times larger? We find that by dividing the diameter of bacterium by the diameter of virus.
Let's do this:
[tex]\frac{10^{-6}}{10^{-7}}\\=\frac{0.000001}{0.0000001}\\=10[/tex]
Hence, the bacterium is 10 times larger than the virus
Answer:
I got A) "The diameter of the bacterium is 10 times greater than that of the virus."
Step-by-step explanation:
Write an equation that gives the proportional relationship of the graph. A) y = 1 3 x B) y = 2x C) y = 3x D) y = 6x
Answer:
C
Step-by-step explanation:
A proportional graph is a line. Every line has a slope. The slope is found by subtracting two points as a ratio. The line has points (0,0) and (2,6).
6-0 = 6
2 -0 = 2
The ratio is vertical over horizontal so 6/2 = 3.
The equation is y = 3x.
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Answer:
C) y = 3xStep-by-step explanation:
The given graph show a proportional relationship that it's modelled by a linear equation. We can make all the process to calculate the equation that belongs to that behaviour. We just have to find the slope:
[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1}} \\m=\frac{18}{6}=3[/tex]
Using the slope interception formula: [tex]y=mx+b[/tex]
[tex]y=3x+0[/tex]
Because the interception with the vertical axis is null, so the equation would be:
[tex]y=3x[/tex]
Therefore the answer is C.
A can of tuna fish is a cylinder with a height of 1.75 inches and a diameter of 3 inches. If the can is half full, how many cubic inches of tuna is in the can?
Answer: [tex]6.185in^3[/tex]
Step-by-step explanation:
The formula for calculate the volume of a cylinder is:
[tex]V_{cylinder}=\pi r^2h[/tex]
r is the radius of the cylinder and h is the height of the cylinder.
Given the diameter of 3 inches, calculate the radius of the cylinder with:
[tex]r=\frac{d}{2}[/tex] (Where d is the diameter)
[tex]r=\frac{3in}{2}=1.5in[/tex]
Knowing the height and the radius, you can calculate the volume of the entire can of tuna:
[tex]V_{can}=\pi (1.5)^2(1.75in)=12.37in^3[/tex]
As you want to know the cubic inches of tuna that are in the can (volume of tuna), and you know that the can is half full, then:
[tex]V_{tuna}=\frac{V_{can}}{2}\\\\V_{tuna}=\frac{12.37in^3}{2}\\\\V_{tuna}=6.185in^3[/tex]
Answer:
Step-by-step explanation:
jaz its alexis
factor a(p–q)+q–p PPPLLZ
Answer:
(p-q)(a-1)
Step-by-step explanation:
a x (p-q) -1 (p-q) extract the negative sign
(p-q) x (a-1) fact p-q from expression
(p-q)(a-1)
Answer:
Apq is the answer
Step-by-step explanation:
In this figure a || b Find the measure of each angle using either of the given angle measures. Identify the reason for each answer
∠1
∠2
∠3
∠4
∠5
∠6
Answer:
[tex]m<1=99\°[/tex]
[tex]m<2=81\°[/tex]
[tex]m<3=86\°[/tex]
[tex]m<4=86\°[/tex]
[tex]m<5=86\°[/tex]
[tex]m<6=94\°[/tex]
Step-by-step explanation:
Part 1) Find the measure of angle 1
we know that
[tex]m<1+81\°=180\°[/tex] -----> by supplementary angles
[tex]m<1=180\°-81\°=99\°[/tex]
Part 2) Find the measure of angle 2
we know that
[tex]m<2=81\°[/tex] -----> by alternate exterior angles
Part 3) Find the measure of angle 3
we know that
[tex]m<3=86\°[/tex] -----> by vertical angles
Part 4) Find the measure of angle 4
we know that
[tex]m<4=86\°[/tex] ------> by corresponding angles
Part 5) Find the measure of angle 5
we know that
[tex]m<5=m<4[/tex] -----> by vertical angles
so
[tex]m<5=86\°[/tex]
Part 6) Find the measure of angle 6
we know that
[tex]m<5+m<6=180\°[/tex] -----> by supplementary angles
we have
[tex]m<5=86\°[/tex]
substitute
[tex]86\°+m<6=180\°[/tex]
[tex]m<6=180\°-86\°=94\°[/tex]
what is the absolute value of 5+|-6|
5+|-6|
5+6
11
...
...
..
..
Final answer:
The absolute value of -6 is 6, so the value of the expression 5 + |-6| is 11.
Explanation:
The absolute value of a number is its distance from zero on a number line, regardless of direction.
Hence, the absolute value of -6 is 6. Now let's solve the expression 5 + |-6|.
First, we find the absolute value of -6, which is 6. Adding this to 5, we get:
5 + |(-6)| = 5 + 6 = 11.
Thus, the absolute value of 5 + |-6| is 11.