Answer:
John ran at a faster rate
Step-by-step explanation:
If john runs 1/2 mile in 5 minutes, then for him to run 1 mile it would take 10 minutes because it takes john 5 minutes for every half of a mile. Now Al runs 1/3 mile in 4 minutes. If he would run 1 mile, it would take him 12 minutes because it takes him four minutes every third mile.
1/3 : 4 = 3/3 : 12 Al
1/2 : 5 = 2/2 : 10 John
From both of the rations John ran faster
The number of oranges that Joe has is a multiple of 6. When he sells one orange, the number of oranges is a multiple of n. If n is a positive integer less than 10, how many possible values are there for n?
Answer:
2
Step-by-step explanation:
The number of oranges he has is a multiple of 6, so the number can be
6, 12, 18, 24, 30, 36, 42, 48, 54, etc.
He sells one orange, so now he an have:
5, 11, 17, 23, 29, 35, 41, 47, 53, etc.
All numbers above up to 53 are multiples of 1, so n can be 1.
Also 5 and 35 are multiples of 5, so n can be 5.
All numbers other than 5 and 35 are prime.
Answer: 2
A square has a perimeter of 8 and one vertex at (2, 2). What could be the location of another vertex of this shape? A) (1, 5) B) (-2, 2) C) (2, 3) D) (0, 0)
Answer:
D) (0,0)
Step-by-step explanation:
It is a square so each side is 2 units because
8/4 = 2
If the first point is at (2,2) we need to find which other point is 2 away from the first one. Or two away from where that point would be since there are 3 other corners.
We can rule out A and C because they are an odd number away. B is too far away because he's distance is 4.
So the other point is (0,0)
A bag contains red, white, and blue marbles. If 1/4 of the marbles are red and 2/3
of the marbles are white, what fractional part of the marbles are blue?
Answer: 1/12
Step-by-step explanation: 1/4=3/12. 2/3=8/12. 3/12+8/12=11/12. The remaining 1/12 is blue.
a box has a square base of side 9cm. calculate the volume of the box if it is 10cm high
Answer:
810 cubic centimetres
Step-by-step explanation:
If the box has a square base, the length and breadth of the box are the same. In this case, it's 9cm
The formula for the area of a rectangular prism is
A = lbh
where
l = length
b = breadth
h = height
Therefore the area is 9x9x10 = 810cm³
Answer:
V = 810 cm³
Step-by-step explanation:
V = Ab × h
Ab = s² = (9cm)² = 81 cm²
V = 81cm²×10cm = 810 cm³
Which side of the quadrilateral ABCD has a length equal to 10? Question 5 options: Which side of the quadrilateral ABCD has a length equal to 10? Question 5 options: A. BC B. DA C. BA D. CD
Answer:
Side DA
Step-by-step explanation:
The point A has coordinates of (-2,6) and the point D has coordinates of (-2,-4). Since both points have the same x-coordinate, we can subtract point A's y-coordinate from point D's y-coordinate.
6 - ( -4) = 10 (Basically adding 4 to six since the 2 minus signs make a plus sign)
That's your answer!
Hope that helps and maybe earns a brainliest!
Have a great day! :)
The side of the quadrilateral ABCD has a length equal to 10 is AD.
What is distance?Distance is the amount of space between two points. The distance between two points A(x₁, y₁) and B(x₂, y₂) on the coordinate plane is given by:
[tex]AB=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]
The coordinate of vertex A = (-2, 6) while for D is D(-2, -4). Hence:
[tex]AD=\sqrt{(-4-6)^2+(-2-(-2))^2}=10\ units[/tex]
The side of the quadrilateral ABCD has a length equal to 10 is AD.
Find out more on distance at: https://brainly.com/question/17273444
Find the equation of a line that is perpendicular to line g that contains (P, Q).
coordinate plane with line g that passes through the points negative (3, 6) and (0, 5)
3x − y = 3P − Q
3x + y = Q − 3P
x − y = P − Q
x + y = Q − P
Answer:
x-y is parallel, im confused on what your asking for and what you mean by "negative"
Step-by-step explanation:
The equation of a line that is perpendicular to line g that contains (P, Q). is 3x − y = 3P − Q
What is Equation of line?The general form of the equation of a line with a slope m and passing through the point (x1, y1) is given as: y - y1 = m ( x- x1)
Further, this equation can be solved and simplified into the standard form of the equation of a line.
Given:
Line g passes through (3,6) and (0,5).
Slope of lone= y2 - y1/ (x2 - x1)
Perpendicular lines have opposite, reciprocal slopes, so negative change in x over change in y.
slope of line= -(-3 - 0)/(6 - 5)
= - -(-3)/1 =
slope of line = 3
Now, Two lines are perpendicular if they have the same slope.
Line parallel to line g has a slope of 1. Since it passes through (P, Q),
y - y1 = m ( x- x1)
y- Q =3 ( x- P)
y- Q = 3x- 3P
3x − y = 3P − Q
Learn more about equation of line here:.https://brainly.com/question/20519388
#SPJ2
Which statement BEST explains why the sine of an acute angle is equal to the cosine of the angles complement?
Answer:
In a right triangle, the sine of one acute angle, A, equals the cosine of the other acute angle, B. Since the measures of these acute angles of a right triangle add to 90º, we know these acute angles are complementary. ∠A is the complement of ∠B, and ∠B is the complement of ∠A.
Step-by-step explanation:
If the Federal Resene sets the reserve rate to 20%, what is the resulting money multiplier?
Answer:
5
Step-by-step explanation:
Money multiplier helps to explain how an economic activity boosts the economic output for the country. It shows how saving in terms of deposit increases the net supply of money in any economy.
Money multiplier = 1/reserve ratio
given reserve ratio = 20% = 20/100 = 0.2
thus,
Money multiplier = 1/0.2 = 5
TheOriginal tragedy of the commons concern grazing cows and sheep’s and 14 century England, space choose the theme in about the tragedy of the commons that is correct
Answer:
The tragedy of the commons in fourteenth-century England was overcome by the common lands being enclosed and privatized.
Step-by-step explanation:
The Commons tragedy refers to a popular economic narrative that explains why common assets appear to be overused from a social point of view. The story-line is focused on the premise that each person tries to get as much profit as possible from the available resource. As per the question, the land available for grazing was limited and solution can be opted through enforcing regulations, auctioning out a limited number of licenses, or transforming the common good into a private good.
Evaluate the following expression: 2 + 1 x 2 *Please help i don't have that much time*
Answer:
The answer to your question is 4.
Step-by-step explanation:
Evaluating and simplifying the expression comes to a result of four using the order of operations. Hope this helps you!
which of these expressions are equivalent to p/3?
A. p-2/3
B. 1/3p
C. p-3
D. 3/p
E. 3p/p
This is assuming that p is not in the denominator. To make it more clear that p is not in the denominator, I recommend you write (1/3)p.
Taking 1/3 of a number is the same as dividing by 3.
Example:
27/3 = 9
27*(1/3) = 9
Given: m || n and p is a transversal
Prove: mAngle2 = mAngle7
Horizontal and parallel lines m and n are cut by transversal p. On line m where it intersects line p, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 1, 2, 4, 3. On line n where it intersects line p, 4 angles are created. Labeled clockwise, from uppercase left, the angles are 5, 6, 8, 7.
What is the missing reason in the proof?
Statement Reason
1. m || n and p is a transversal 1. given
2. ∠2 ≅ ∠3 2. ver. ∠s theorem
3. m∠2 = m∠3 3. def. of congruent
4. ∠3 ≅ ∠7 4. corr. ∠s theorem
5. m∠3 = m∠7 5. def. of congruent
6. m∠2 = m∠7 6. ?
corresponding angles theorem
alternate interior angles theorem
transitive property
subtraction property
Answer:
∠2 ≅ ∠6
Step-by-step explanation:
If f(x)=(2x^2)-1, find:
-f(3x-1)+2
Answer:
-f(3x - 1) + 2 = -18x² + 12x + 1
Step-by-step explanation:
Step 1: Find f(3x - 1)
f(3x - 1) = 2(3x - 1)² - 1
f(3x - 1) = 2(9x² - 6x + 1) - 1
f(3x - 1) = 18x² - 12x + 2 - 1
f(3x - 1) = 18x² - 12x + 1
Step 2: Plug in f(3x - 1)
-(18x² - 12x + 1) + 2
Step 3: Evaluate
-18x² + 12x - 1 + 2
-f(3x - 1) + 2 = -18x² + 12x + 1
Can someone please help me out? I'd really appreciate it.
Answer:
The scaling factor is 4.
Step-by-step explanation:
To find the scaling factor from A to B, we must know that these are similar triangles. Since this is not stated in the problem, we will assume these are similar triangles.
Similar triangles simply have the same scaling ratio, allowing for any size triangle to be created with the same relative dimensions. With this in mind, let's check to see the multiple of each side by simply taking the sides of the triangle B divided by the sides of triangle A.
40 / 10 = 4
44 / 11 = 4
72 / 18 = 4
Notice how each of the sides from triangle B to triangle A has the same multiple, 4. This tells us that the scale from A to B is 4.
Hence, the scaling factor is 4.
Cheers.
Town B is 250 km from town A on a bearing of 080°.
Town C is 250 km from town B on a bearing of 220°.
What is the bearing from town A to town C?
Answer:
330 degrees
Step-by-step explanation:
Answer: 300deg
Step-by-step explanation:
Find the probability of rolling a die and
getting a 6. Write your answer as a
fraction.
Answer:
1/6
Step-by-step explanation:
there are 6 sides/numbers on a die. 1 roll with a possibility of 6 outcomes.
Answer:
[tex]\frac{1}{6}[/tex]
Step-by-step explanation:
Because there are six possibilities and only one of those possibilities will yield a six, we can find the probability to be [tex]\frac{1}{6}[/tex]
What is the correct evaluation of x2 - y2 - z2, when x is equal to -2, y is equal to 3 and z is equal to 4?
Answer:
-18
Step-by-step explanation:
x2 - y2 - z2 if x=-2, y=3, and z=4
x2 - y2 - z2
(-2) 2 - (3)2 - (4)2
(-4) - (6) - (8)
-10 -8
-18
Answer:
18
Step-by-step explanation:
what is the domain of the function shown in the graph below
answer type: interval, all real numbers, all values except one, all values except two
interval:
interval [3,6]
as you can see only values of x, having a value y in the graph.
Calculate the surface area of a cube when the length of a side a = 15cm.
Surface area = 6a^2
Answer:
[tex]\boxed{ \sf 1350 \ cm^2}[/tex]
Step-by-step explanation:
Surface area of a cube = 6a²
a = side length
The side length is given 15 cm.
[tex]6(15)^2[/tex]
[tex]6(225)[/tex]
[tex]1350[/tex]
The surface area of the cube is 1350 cm².
Which equation represents the graphed function?
a)–3x + 2 = y
b) –2/3 x + 2 = y
c) 3/2 x – 3 = y
d) 2x – 3 = y
Answer: C is your answer.
Step-by-step explanation:
A new bridge structure requires triangles that are in a ratio of 1:1. If AC = 4x − 3 and EC = 2x + 6, find the distance between the top and bottom of the bridge, in feet.
Answer:
Total distance = 30 m
Step-by-step explanation:
Given:
AC : EC = 1:1
AC = 4x − 3 and EC = 2x + 6
Find:
Total distance
Computation:
AC = EC
So,
4x - 3 = 2x + 6
2x = 9
x = 4.5
AC = 4(4.5) - 3 = 15 m
EC = 2(4.5) + 6 = 15 m
Total distance = AC + EC
Total distance = 15 m + 15 m
Total distance = 30 m
The distance between the top and bottom of the bridge, in feet, is 15 + 15 = 30m
Given that a new bridge structure requires triangles that are in a ratio of 1:1 with the following parameters
AC = 4x - 3
EC = 2x + 6
Since the measure are in the same ratio, henec;
AC = EC
4x - 3 = 2x + 6
4x - 2x = 6 + 3
2x = 9
x = 4.5
Get the
AC = EC = 4x - 3
AC = EC = 4(4.5) - 3 = 15feet
The distance between the top and bottom of the bridge, in feet, is 15 + 15 = 30m\
Learn more here: https://brainly.com/question/17247176
Which is the correct label for the volume of a solid figure?
units squared (i.e. m2)
units cubed (i.e. m3)
Answer:
Volume is units cubed
area is units squared
Units cubed will be the correct label.
We have a solid figure.
We have to determine the correct unit of labelling for this figure.
What is difference between Area and Volume?An area is a two - dimensional quantity that encloses all two -dimensional coordinate points using a single dimensional entity. Example - circle.
Volume is a three - dimensional quantity that encloses all the points in the three - dimensional space using a two - dimensional entity.
The volume makes use of three different dimensions to enclose points inside it. Due to this we cannot label the unit as units squared as it represents only two dimensions ([tex]m^{2}[/tex]), whereas units cubed represents three dimensions ([tex]m^{3}[/tex]).
Hence, units cubed will be the correct label.
To solve more questions on area and volume, visit the link below -
brainly.com/question/10188516
#SPJ2
simplify (45) - (+14)
Answer:
31
Step-by-step explanation:
(45) - (+14)
45 - 14 (Negative sign is distributed)
=31
You and your mom enter a drawing with 3 different prizes a total of 9 people enter
Answer:
the probability if that is what you are asking for is 1/3 of winning a prize
Step-by-step explanation:
Answer:
1/3 chance per each person of winning a prize
Step-by-step explanation:
Is the function ƒ(θ) = 2cos( θ) an odd or even function?
Answer:
Even function.
Step-by-step explanation:
An odd function has symmetry with respect to the origin.
[tex]\text{A function is odd }\Leftrightarrow f(-x)=-f(x)[/tex]
The sine function is an odd function:
[tex]\sin(-\theta)=\sin(\theta)[/tex]
An even function has symmetry with respect to the y-axis.
[tex]\text{A function is even}\Leftrightarrow f(-x)=f(x)[/tex]
The cosine function is an even function:
[tex]\cos(-\theta)=\cos(\theta)[/tex]
Is the function [tex]f(\theta)=2\cos(\theta)[/tex] an odd or even function?
It is an even function.
What happens in the function is a vertical stretch by a factor of 2. The y-intercept is equal to 2.
The Mali Empire of West Africa was known far and wide for the great wealth of its rulers. The empire fell in the year 1610
Let x represent any year. Write an inequality in terms of x and 1610 that is true only for values of x that represent years after the year the Mali Empire fell.
Answer:
[tex]x > 1610[/tex]
Step-by-step explanation:
Given that the empire fell in 1610
Required
Represent years after the fall of the empire using inequality
From the question, we understand that
1. x represent years
2. The empire fell in 1610
This implies that, years before (and including) 1610 are invalid and we only have to consider years after 1610;
Years such as 1611, 1612, 1613.......
All the aforementioned years are greater than 1610;
The keyword is greater than 1610
And this can be represented as [tex]x > 1610[/tex]
15 POINTS IF SOMEONE ANSWERS QUICK
Answer:
The 16 cases will fit the box as shown.
Step-by-step explanation:
One disk case has the dimensions 14.2 cm by 19.3 cm, with thickness 1.6 cm.
Temporarily ignoring the 14.2 cm and 19.3 cm measurements, we multiply this 1.6 cm thickness by 16, obtaining a total thickness for the stack of cases of 25.6 cm.
1) The 16 cases, arranged as shown, and measuring 25.6 cm from left to right in this diagram, will fit within the 26 cm horizontal distance shown.
2) The horizontal length of each case is 14.2 cm. Stacked as shown, the 16 cases will fit within the 15 cm depth of the box.
3) The vertical measurement of each case is 19.3 cm. The 20 cm vertical measurement of the box can accommodate this 19.3 height within 20 cm.
All indications are that the 16 cases will fit comfortably inside the box.
Answer:
16 discs capacity of the cuboid.
Step-by-step explanation:.
for simplicity...
i would just divide 26cm to 1.6cm = 16 .25
therefore, 16 discs capacity of the cuboid.
Please help! Dad will murder me if I don't have this done by the time he gets home! 100 points for whoever solves this!
Answer:
3(4)to the 3
Step-by-step explanation:
Plz Help I’ll give brainliest
Answer:
d
Step-by-step explanation:
The inscribed angle ABC is half the measure of its intercepted arc, thus
arc AX = 2 × 64° = 128°
The secant- tangent angle ACB is half the difference of the measures of its intercepted arcs, thus
∠ ACB = [tex]\frac{1}{2}[/tex] ( 152 - 128)° = 0,5 × 24° = 12° → d
Please help me on this question
Answer:
The area can be expressed as: [tex]\pi r^2+lw[/tex].
We have l=10, because 18-2(4)
We have w=8, as given.
Thus, the rectangle area is 80.
There are two semicircles, but they add to form a full circle, which makes things a lot easier. We have the circle area formula, and substituting the values gives us 50.24 as the circle volume
80+50.24=130.24.
Rounded to 1 decimal place that is 130.2
Hope this helps :)
