Answer:
5x < 30
Step-by-step explanation:
coaches = 2x
parents = 3x
total time = under 30 mins
2x + 3x < 30
5x < 30
x < 6
Answer:
Sample response: Choose a variable to represent the average speech length. If x is the variable, then the inequality would be (2+3)x < 30,="" or="">x < 30. The 2 + 3, or 5, represents the total number of people making speeches. Each one would last an average of x minutes, so we want the product of x and (2+3) to be less than 30, the time limit set by the principal.
For those who wanted the sample response.
Danielle has test scores of 92, 86, 83, 90 and 91 in her math class. What score does she need on the next test to have an overall class average of 90%?
Answer:
98
Step-by-step explanation:
An average score can be calculated by finding the sum of all scores and then dividing by the number of tests. So we can create an equation like this:
[tex]\frac{(92+86+83+90+91+x)}{6}=90[/tex]
The numerator is the sum of her scores, where x represents the score of her next test (which is what we're trying to find).
The denominator is the total number of tests, which is 6 - this includes the 5 she has taken already and the next test that she hasn't taken yet.
Furthermore, we know all of this has to equal 90 because that's the average we're looking for.
Now we just solve for x.
Step 1) Multiply by 6:
[tex]92+86+83+90+91+x=90 \times 6[/tex]
Step 2) Simplify equation:
[tex]442+x=540[/tex]
Step 3) Subtract 442:
[tex]x=540-442=98[/tex]
Therefore, x = 98, so Danielle must achieve a score of 98 to have an overall class average of 90.
right triangle similarity. what is the value of a?
5 units
5 1/3 units
6 2/3 units
7 units
Answer:
I'd say that a is 6 2/3 units long
Step-by-step explanation:
P={x:x is a natural number,x<9
Answer:
x:x = 1 so it is a natural number
Step-by-step explanation:
it can be any negative number because: -x<9
and any number from 1 to 8
(x cannot be 0, because you cannot do 0/0 = 1)
Three times a number added to another number gives 25.Taking the numbers as x and y form an equation
Answer:
3*x + y = 25
Step-by-step explanation:
Here we have the sentence:
"three times a number (let's call it x) added to another number (let's call it y) gives 25"
We can write this as:
3*x (3 times the first number)
+ y (added to another number)
= 25 (gives 25)
Writing this as an equation, we get:
3*x + y = 25
This is the equation we wanted.
Which of the following is most likely the next step in the series
Answer:
Step-by-step explanation:
Hello
2,3,4 5
red, blue , red , blue
A
I need help does the table represent a function
Answer:
b. no, because one x-value corrseponds to two different y-values
Step-by-step explanation:
for a set/table to be a function, the each x-value must correspond to exactly one value, not more, therefore the set of points in this table do not represent a function as the x-value 6 corresponds to more than one number.
Which definition best describes skew lines?
Skew lines are a pair of lines that are non-intersecting, non-parallel, and non-coplanar.
What is Skew lines definition?
Skew lines are a pair of lines that are non-intersecting, non-parallel, and non-coplanar. This implies that skew lines can never intersect and are not parallel to each other. For lines to exist in two dimensions or in the same plane, they can either be intersecting or parallel. As this property does not apply to skew lines, hence, they will always be non-coplanar and exist in three or more dimensions.
Skew Lines Example
In real life, we can have different types of roads such as highways and overpasses in a city. These roads are considered to be on different planes. Lines drawn on such roads will never intersect and are not parallel to each other thus, forming skew lines.
Skew Lines in 3D
Skew lines will always exist in 3D space as these lines are necessarily non-coplanar.
In the figure given below 'a' and 'b' are skew lines.
Therefore, skew lines are a pair of lines that are non-intersecting, non-parallel, and non-coplanar.
To learn more about skew lines visit:
https://brainly.com/question/2603508.
#SPJ2
Answer:
O D. Lines that do not intersect and are in the same plane
Step-by-step explanation:
Credit to person above for explaining,
Hope it helps!
a square garden has an area of 6400 square find its perimeter
Answer:
80
Step-by-step explanation:
Area of a square is LxL where L is the length of the side
so 6400 = LxL
L = 80
Pls help me with this!
Answer:
Your answer would be X ≥ -3
Step-by-step explanation:
Which statement is true regarding the graphed functions?
Answer:
f(2) = 0 and g(2) = 0
f(2) = g(2) TRUE
b) f(0) = 2 and g(0) = -2
f(0) = g(0) FALSE
c) f(2) = 0 and g(0) = -2
f(2) = g(0) FALSE
d) f(0) = 2 and g(2) = 0
f(0) = g(2) FALSE
each side of a polygon is 2.5 cm in length. the perimeter of the polygon is 12.5 cm.how many sides does a polygon have ?
Answer:
it's 5 sides
Step-by-step explanation:
I hope this helps
Answer:
5 sides
Step-by-step explanation:
12.5÷2.5=5
therefore the answer is 5
I need help on this
A quarter circles fits exactly into a square of side 4 cm, as shown.
Determine the area of the shaded region, giving your answer correct to 3 significant figures.
Side of square = Radius of circle = 4cm
Area of full circle
= πr²
= (22/7) × 4cm × 4cm
= 352/7 cm²
Area of the quarter of circle
= Area of full circle/4
= (352/7)/4
= (352/7) × (1/4)
= 352/28
= 12.571 {approximately}
The surface area of a cube with side 4 cm is
Answer:
4³
4*4*4
64#
Step-by-step explanation:
hope you like it
diện tích bề mặt của hình lập phương sẽ là (4 cm)2 = 16 cm2.
Jade has seven cards. Each card is labeled with a letter. A B C D E F G H J Jade picks one of her cards at random. Find the probability that the card she picks is a) labelled F, b) labelled with a letter in her name JADE c) labelled with a letter that has at least one line of symmetry
Answer:
(a) [tex]\frac{1}{7}[/tex]
(b) [tex]\frac{4}{7}[/tex]
(c) [tex]\frac{5}{7}[/tex]
Step-by-step explanation:
Probability (P) of an event is the likelihood that the event will occur. It is given by;
P = number of favourable outcomes ÷ total number of events in the sample space.
Given letters of cards:
A B C D E F G H J
∴ Total number of events in sample space is actually the number of cards which is 7
If a card is picked at random;
(a) the probability P(F), that it is labelled F is given by;
P(F) = number of favourable outcomes ÷ total number of events in the sample space.
The number of favourable outcomes for picking an F = 1 since there is only one card labelled with F.
∴ P(F) = 1 ÷ 7
=> P(F) = [tex]\frac{1}{7}[/tex]
(b) the probability P(N), that it is labelled with a letter in her name JADE is given by;
P(N) = P(J) + P(A) + P(D) + P(E)
Where;
P(J) = Probability that it is labelled J
P(A) = Probability that it is labelled A
P(D) = Probability that it is labelled D
P(E) = Probability that it is labelled E
P(J) = [tex]\frac{1}{7}[/tex]
P(A) = [tex]\frac{1}{7}[/tex]
P(D) = [tex]\frac{1}{7}[/tex]
P(E) = [tex]\frac{1}{7}[/tex]
∴ P(N) = [tex]\frac{1}{7}[/tex] + [tex]\frac{1}{7}[/tex] + [tex]\frac{1}{7}[/tex] + [tex]\frac{1}{7}[/tex]
∴ P(N) = [tex]\frac{4}{7}[/tex]
(c) the probability P(S), that it is labelled with a letter that has at least one line of symmetry is;
P(S) = P(A) + P(B) + P(C) + P(D) + P(E) + P(H)
Where;
P(A) = Probability that it is labelled A
P(B) = Probability that it is labelled B
P(C) = Probability that it is labelled C
P(D) = Probability that it is labelled D
P(E) = Probability that it is labelled E
P(H) = Probability that it is labelled H
Cards with letters A, B, C, D, E and H are selected because these letters have at least one line of symmetry. A line of symmetry is a line that cuts an object into two identical halves. Letters A, B, C, D, E and H can each be cut into two identical halves.
P(A) = [tex]\frac{1}{7}[/tex]
P(B) = [tex]\frac{1}{7}[/tex]
P(C) = [tex]\frac{1}{7}[/tex]
P(D) = [tex]\frac{1}{7}[/tex]
P(E) = [tex]\frac{1}{7}[/tex]
P(H) = [tex]\frac{1}{7}[/tex]
∴ P(S) = [tex]\frac{1}{7}[/tex] + [tex]\frac{1}{7}[/tex] + [tex]\frac{1}{7}[/tex] + [tex]\frac{1}{7}[/tex] + [tex]\frac{1}{7}[/tex]
∴ P(S) = [tex]\frac{5}{7}[/tex]
a baseball player leads off the game and hits a long home run. the ball leaves the bat at a height of 4ft above the ground and an angle of 32 degrees from the horizontal with a velocity of 131 ft/s.
write a set of equations that model the scenario.
Answer:
time = 4.4 s
horizontal distance = 488.8 m
Step-by-step explanation:
Height, h = 4 ft
Angle, A = 32 degree above X axis
velocity, u = 131 ft/s
Let the time taken is t.
Use second equation of motion
[tex]h = u t + 0.5 gt^2\\\\- 4 = 131 sin 32 t - 16 t^2\\\\16t^2 - 69.4t - 4 = 0\\\\t=\frac{69.4\pm \sqrt{4816.36 +256}}{32}\\\\t = \frac{69.4\pm71.2}{32}\\\\t = - 0.05625 s, 4.4 s[/tex]
So, time is 4.4 s.
The horizontal distance is
d = u cos A t
d = 131 cos 32 x 4.4 = 488.8 m
the image is here
The diagram below represents three groups of students: S (blue and green): The set of students who took a Spanish class. T (green and orange): The set of students who traveled to a Spanish-speaking country. D (red and orange): The set of students who did not take a Spanish class. Each block represents one student. If a student did not travel to a Spanish-speaking country, how many times more likely is it that the student did not take Spanish? It is 22 times as likely. It is 9 times as likely. It is 4.5 times as likely. It is 2.2 times as likely.
Answer:
Step-by-step explanation:
It’s 2.3 times more likey
Find the gradient of the line y=4x-7
Answer:
4
Step-by-step explanation:
Answer:
gradient = 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the gradient and c the y- intercept )
y = 4x - 7 ← is in slope- intercept form
with gradient m = 4
1/5 x + 1/3 equals 4/3 solve for x
Answer: x=5
1/5x= 4/3-1/3
1/5x=1
x= 1:1/5
x=5
Answer:
X=5
Step-by-step explanation:
The cuboid and the triangular prism have the same volume. Find the value of x.
Answer:
x = 25
Step-by-step explanation:
The volume (V) of the triangular prism is calculated as
V = Al ( A is the area of the triangular face and l is its length )
A = [tex]\frac{1}{2}[/tex] bh = 0.5 × 5 × 8 = 20 cm² , then
V = 20 × 20 = 400 cm³
The volume of the cuboid is calculated as
V = lbh = 3.2 × 5 × x = 16x
Given V = 400 cm³ , then
16x = 400 ( divide both sides by 16 )
x = 25
Consider the function shown in the table.
What are the inputs of the function?
-1, 0, 1, 2
-1,0,3
-1, 0, 1, 2, 3
Answer: a
Step-by-step explanation:
its the first one
Answer:
the first one is A and the second one is B
Step-by-step explanation:
im doing the assignment right now
5(4)-4/2 ??
Some know how to respond
Answer:
19 1/2??? Read explanation
Step-by-step explanation:
I am not sure entirely by your formatting when you put it into Brainly but since 5x4=20 and 20-1/2 = 19 1/2, the answer would be 19 1/2 but I am not sure due to the format.
Hope this helps and if it does, don't be afraid to rate my answer as well as maybe give it a "Thanks"? (Or even better a "Brainliest"). And if it’s not correct, I am sorry for wasting your time, and good luck finding the correct answer :)
Answer:
18
20 -2 = 18
Step-by-step explanation:
Assume the following: 1) the scattergraph intersects the Y axis at $200; 2) the estimated line on the scattergraph increases by $10 for every 1 unit of volume increase. What is total cost if volume is 20 units
Answer:
The total cost is:$400
Step-by-step explanation:
Given
[tex]x \to units[/tex]
[tex]y \to cost[/tex]
[tex](x,y) = (0,200)[/tex] --- when the graph intersects the y-axis
[tex]m = 10[/tex] -- the rate
Required
y when x = 20
First, we determine the equation of the plot using:
[tex]y = mx + c[/tex]
Substitute 10 for m
[tex]y = 10x + c[/tex]
Next, solve for c.
Substitute [tex](x,y) = (0,200)[/tex]
[tex]200 = 10*0+c[/tex]
[tex]200 = 0+c[/tex]
[tex]c = 200[/tex]
So:
[tex]y = 10x + c[/tex]
[tex]y =10x + 200[/tex]
When x = 20
[tex]y =10*20 + 200[/tex]
[tex]y =200 + 200[/tex]
[tex]y = 400[/tex]
show that 12''cannot end with the digit 0 or 5 for any natural number n.
Answer:
ano po di ko naiintindihan
Answer:
If any number ends with the digit 0 or 5, it is always divisible by 5. If 12n ends with the digit zero it must be divisible by 5. This is possible only if prime factorisation of 12n contains the prime number 5.
Step-by-step explanation:
How many eighths does it take to equal 1/4 model
Answer:
2 eighths.
Step-by-step explanation:
Answer:
2 eighths
Step-by-step explanation:
1/8 + 1/8 = 2/8 or 1/4
PLS HELP
does anyone know how to solve this?
Answer:
-5
Step-by-step explanation:
f(x) = 5 cos ( 3x)
f(60) means let x = 60
f(60) = 5 cos ( 3*60)
= 5 cos (180)
= 5 (-1)
= -5
Answer: -5
Step-by-step explanation:
5cos 3x60
5cos 60
5 x (-1) = -5
In the ordered pair below, which value represents the input to a function?
(2, 3)
Answer:
2
Step-by-step explanation:
In an order pair
(x,y)
The first number is the input and the second number is the output
(2,3) 2 is the input and 3 is the output
what is the cofficient in the expression 8x^2+1?
Answer:
8
Step-by-step explanation:
Answer is 8
select all explanation that prove triangle ABC is congruent to triangle A'B'C
Answer:
AB = A'B'
BC = B'C'
AC = A'C'
angle ABC = angle A'B'C'
angle CAB = angle C'A'B'
angle CBA = angle C'A'B'
Step-by-step explanation:
use different axomes to show relation,
Answer: Reflect ABC across the vertical line passing through C
Step-by-step explanation:
Math help please show work I will mark Brainlist if correct
Answer:
Step-by-step explanation:
(3). 1 g ≈ 0.035274 oz
675 g ≈ 23.8 oz
(4). 1 cup ≈ 236.588 ml
[tex]\frac{1}{3}[/tex] cup ≈ 78.86 ml
(5). 1 L ≈ 0.22 gal.
150 L ≈ 33.0 gal.
(6). 1 cm ≈ 0.3937 inch
1 cm² ≈ 0.155 inch²
2.5 cm² ≈ 0.3875 inch²
Indicate the method you would use to prove the two A's =. If no method applies, enter "none".
O SSS
O SAS
O ASA
O AAS
ONone