Answer:
[tex]225\:\text{minutes}[/tex]
Step-by-step explanation:
To navigate through this problem, start by finding how much each senator can complete in a fixed amount of time. I'll choose 10 as it's the greatest common factor of 30 and 50.
In 10 minutes, the junior senator can complete [tex]\frac{10}{50}=\frac{1}{5}[/tex] of the labyrinth.
In 10 minutes, the senior senator can complete [tex]\frac{10}{30}=\frac{1}{3}[/tex] of the labyrinth.
Therefore, working together, they can complete [tex]\frac{1}{5}+\frac{1}{3}=\frac{8}{15}[/tex] of the labyrinth in 10 minutes. Thus, it will take them [tex]\frac{15}{8}\cdot 10 \text{ minutes}=18.75\:\text{minutes}[/tex] to complete one labyrinth.
The amount of time it take them to complete 12 labyrinths is then [tex]18.75\cdot 12 =\boxed{225\:\text{minutes}}[/tex]
How is this one done?
A shirt originally $38.00 is on sale for 25% off. What is the discounted price?
Step-by-step explanation:
$ 28.50
minus $ 0.00
FINAL Price » $ 28.50
Note: Sales Tax Not Included
Savings » $ 9.50
Effective % Off » 25%
Answer:
$28.5
Step-by-step explanation:
100% - 25% = 75% (so you don't have to add or subtract anything)
38 * .75 = 28.5
=$28.5
Alexander has a square-shaped basket of apples. The
basket covers the area of 36 feet^2
. Find the length of any
side of the basket?
Answer:
6 ft
Step-by-step explanation:
Side = √area = √36 = 6 ft (we have to find a positive number that multiply by itself gives 36
Will give brainliest if correct!!
Answer:
The smallest increment is 10 V and the uncertainty is 5 V.
What are the characteristics of the graph of the inequality x ≥ -2? The ray will move to the left. The ray will move to the right. It will use an open circle. It will use a closed circle.(multiple answers)
Answer:
Step-by-step explanation:
The inequality x ≥ -2 is graphed on a number line. -2 is the smallest possible value. All subsequent values are larger and therefore lie to the right of -2.
Thus, the following are true:
1. The ray will move to the right (because x begins at -2 and increases, which means moving to the right on the number line).
2. It will use a closed circle (because x = -2 is part of the solution set).
Answer: The ray will move to the right and it will be a closed circle.
In right triangle ABC, sin M = cos 61. If 0
Note: Consider we need to find the value of M if [tex]0^\circ<M<90^\circ[/tex]
Given:
In a right triangle ABC,
[tex]\sin M=\cos 61^\circ[/tex]
To find:
The value of M.
Solution:
We have,
[tex]\sin M=\cos 61^\circ[/tex]
It can be rewritten as:
[tex]\sin M=\cos (90^\circ-29)^\circ[/tex]
[tex]\sin M=\sin 29^\circ[/tex] [tex][\because \sin (90^\circ-\theta)=\sin \theta][/tex]
On comparing both sides, we get
[tex]M=29^\circ[/tex]
Therefore, the value of M is 29 degrees.
URGENT SOMEBODY PLZ HELP
First one is B (43) and the second one is C (35)!
fins the value of (15)^3 + (-9)^3 + (-6)^3 , without actually cubing the numbers
a³ + b³ + c³ + 3abc = ( a + b + c)(a² + b² + c² + ab + bc + ca)
if a + b + c = 0. then a³ + b³ + c³ = 3abc
here a + b + c = 15 + (-9) + (-6)
a + b + c = 15 - 15
a + b + c = 0
so a³ + b³ + c³ = 3abc
15³ + (-9)³ + (-6)³ = 3(15)(-9)(-6)
= 2430
so the answer is 2430
Find the area of the polygon . :)
Answer:
41 square units
Step-by-step explanation:
this polygon can be split into several sub-shapes, for which we can calculate their areas much easier. and then we simply add all the sub-results for the total result.
for me this split would be
1. square CDEF, with F being an additional point at (6,5) : 4 units to the right of C.
2. a right-angled triangle ABF (the same F as for 1.).
the area of a square is the square of a side length.
the side length in 1. is 4.
so, its area is 4×4 = 16 square units.
the area of a right-angled triangle is
a×b/2
with a and b being the sides enclosing the 90 degree angle.
in our case here a = BF = 10, b = FA = 5
so the area of the triangle is 10×5/2 = 25 square units.
so, the total area is 16 + 25 = 41 square units.
can someone help me find the function please
The graph compares the scores earned by 100 students on a pre-test and a post-test.
Two box and whisker plots showing Pre-Test and Post-Test scores on a number line from 0 to 100. The upper plot represents the pre-test scores. For this upper plot, the minimum number is 0, the maximum number is 78, the right side of the box is 60, the left side of the box is 16, and the bar in the box is at 30. The lower plot represents the post-test scores. For this lower plot, the minimum number is 4, the maximum number is 100, the right side of the box is 83, the left side of the box is 30, and the bar in the box is at 45.
About how many more students scored greater than 30% on the post-test than on the pre-test?
15
Answer:
25 more studentsStep-by-step explanation:
30% mark represents:
50% on pre-test and 25% on post test.So
50% of 100 = 50 students scored greater than 30%75% of 100 = 75 students scored greater than 30%.The difference is:
75 - 50 = 25 studentsAnswer:
25 students
Step-by-step explanation:
Fill in the blank with the correct response. The slope of the graph of y = -7x is
Answer:
The slope is -7
Step-by-step explanation:
[tex]y = mx + c[/tex]
The [tex]m[/tex] indicates the slope/gradient of a graph
Answer:
m = -7
Step-by-step explanation:
y = -7x is a typical slope-intercept equation of a straight line. Comparing it to
y = mx + b, we see that the slope, m, is -7 and the y-intercept, b, is 0.
A proportional relationship is shown in the table below: what is the slope and what numbers do i graph. ty besties
Answer:
The slope of the line is [tex]m = \frac{3}{5}[/tex] and the equation of the line is [tex]y = \frac{3}{5}\cdot x[/tex].
Step-by-step explanation:
From table we understand that slope of the line is constant, that is, for each change of [tex]x[/tex] there is one and only change in [tex]y[/tex], fulfilling the main characteristic of a line and we can determine the slope for every point of the line by means of the following expression:
[tex]m = \frac{y_{f}-y_{o}}{x_{f}-x_{o}}[/tex] (1)
Where:
[tex]x_{o}, x_{f}[/tex] - Initial and final x-coordinates of the line.
[tex]y_{o}, y_{f}[/tex] - Initial and final y-coordinates of the line.
If we know that [tex](x_{o}, y_{o}) = (0,0)[/tex] and [tex](x_{f},y_{f}) = (8,4.8)[/tex], then the slope of the line is:
[tex]m = \frac{4.8-0}{8-0}[/tex]
[tex]m = \frac{3}{5}[/tex]
From graph we conclude that x-intercept of the line is [tex]b = 0[/tex]. Hence, the equation of the line is [tex]y = \frac{3}{5}\cdot x[/tex] and we proceed to plot the expression with the help of a graphing tool.
What do you get when you subtract-3xy from 5xy
Answer:
8xy
Step-by-step explanation:
(5xy)-(-3xy)= 5xy+3xy=8xy
Why:
Well if you have 5 of that something and get 3 more of that something you have 8 of that something.
Answer:
8xy
Step-by-step explanation:
5xy--3xy
a - and a - equal a +, so it's 5xy+3xy, which equels 8xy.
The LCM of three numbers is 360 and the GCD of the same numbers is 2.If one of the numbers is 40.Find the other 2 numbers
Answer
“The LCM of three numbers is 360“ The prime factors of 360 are 2³×3²×5¹. That means:
At least one of the numbers contains 2³ in its factorization list.
At least one of the numbers contains 3² in its factorization list.
At least one of the numbers contains 5 in its factorization list.
“One of the numbers is 40“ The factorization list of 40 is 2³×5, so 1) and 3) are satisfied.
“The GCD of the same numbers is 2“ This implies that all 3 numbers are even, and that at least one number only has one 2.
The candidates for the 2nd number, that has 3², are: 18, 12, 72 (3²×2³), 120, 180, or 360.
The candidates for the 3rd number depends on how many 2s the 2nd number has.
If more than one: 2, 6, 18, 10, 30, 90
If only 1, those plus 4, 8, 12, 36, 72, 20, 40, 120, 180, 360
Brittany’s Hot Tub. When draining her hot tub, the height of the water in Brittany’s hot tub decreases at a rate of 2 inches per minute. After 9 minutes there are 11 inches of water in the tub. Assume that the height is decreasing at a constant rate.
a. Write an equation for the height of water left in the tub (h) as a function of the number of the minutes (t) that have elapsed.
b. How high is the tub when it is full?
c. After how many minutes will the tub be empty?
d. What values of the domain, t, make sense? Why?
e. What values of the range, h, make sense? Why?
Answer:
a. h = -2t + 29
b. 14.5 inches (not sure)
c. 5 1/2 minutes
d. The domain means the amount of time elapsed.
e. The value of h means the height of the water left
Step-by-step explanation:
answer choices:
a. 66
b. 53
c. 87
d. 73
Solve this equation
2 . B - 19 = -11
Answer:
B=8
Step-by-step explanation:
you add 19 to both sides of the equation to get B by itself.
[tex]B=-11+19\\B=8[/tex]
answer:
8,
reason
11+8=19
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20character minimum^
what are the domain and range of the function represented by the set of ordered pairs {(-6, 5), (-3, 2), (-1, 0), (5, -4)}
Answer:
[tex]\text{Domain: }\{-6, -3, -1, 5\}\\\text{Range: }\{-4, 0, 2, 5\}[/tex]
Step-by-step explanation:
The domain of a function represents the range of x-values that the function has. The range of a function represents the range of y-values that the function has.
Coordinates are written as (x, y). Thus, the domain of these ordered pairs include the x-values of each ordered pair. Similarly, the range of these ordered pairs include the y-values of each ordered pair. Therefore, we have:
[tex]\text{Domain: }\{-6, -3, -1, 5\}\\\text{Range: }\{-4, 0, 2, 5\}[/tex]
There are 2 gold coins and 45 silver coins in Wyatt's coin collection. What is the ratio of the number of gold coins to the number of silver coins?
Answer:
2:45
Step-by-step explanation:
2:45
Which is the axis of symmetry of a parabola with equation y? --8x?
O y = -2
O y = 0
0 x = 0
O x = 2
Eli is following this recipe to bake bread rolls.
He uses 600 mL of water.
How much of the other ingredients does he use?
Recipe: Makes 10 bread rolls
600 g flour
9 g salt
12 g yeast
30 mL oil
500 mL water
Answer:
flour 720 g
salt 10.8 g
yeast 14.4 g
oil 36 ml
water 600 ml
Step-by-step explanation:
600 ml - 500 ml = 100 ml = 20% more
Set up ratios to determine 20% of each ingredient and add to the original amount.
Example:
20%/100% = x ml/30 ml
20x30÷100=6
So, for oil, you need 30 ml + 6 ml = 36 ml
6 ml = 20% more
Which statement has the same information that is given for the proof below
Answer:
D. TU is a midsegment
Step-by-step explanation:
Please help me show my work for, Larry has a piece of wood that is 2.45 feet long and 2.097 inches wide. Part B: Using the width of the wood in Part A, what is the area, in square feet, of the piece of wood rounded to the nearest hundredth? Plsss hurry and help me
Answer: 0.43ft²
Step-by-step explanation:
You didn't really specify part A but In assuming that the question you posted is part A. Anyways in this case, area will be calculated by multiplying the length by the width.
Since the piece of wood has a length that is 2.45 feet and width that is 2.097 inches, then the area will be:
= 2.45 × 0.17475
= 0.4281375 ft²
= 0.43ft² to nearest hundredths
Note 1 foot = 12 inches
Therefore, 2.097 inches = 2.097/12 = 0.17475 feet
ps
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Gannexation - Goo...
FINAL LT 4 Assessment
9 of 10
POSSIBLE POINTS: 0.5
Draw a picture that represents the word problem. If it is not clear from your drawing, label the airplane, island and boat. Don't forget to include x in your
picture!
You are flying an airplane directly over a boat and spots an island in the distance. If the plane is flying at a height of 5,500m and you look down at the
island at an angle of 72 degrees, how far is the boat from the island?
x Clear
Undd
Redo
(720
Answer:
Step-by-step explanation:
You probably need to make your own version cause mine is super messy but here
38) If AD = 10, find the arc length of DE.
Answer:
23.6 units
Step-by-step explanation:
If we have a circle of radius R, the perimeter of the arc is given by:
P = 2*pi*R
Now, if we only want to find the length of an arc defined by an angle "a", it will be:
L = (a/2*pi)*2*pi*R = a*R
In this case, we know that DA = 10, so we can think that this is a circle of radius R = 10 units
And for the arc DE, we have the angle:
a = 2.36 rad
replacing these two in the formula, we get:
L = 2.36*10 units = 23.6 units
find the volume of the cone. the radius is 5 and the height is 3
Answer:
V= 78.54
Step-by-step explanation:
!!!!someone help please??????
Answer:
The image you provided doesnt work
Step-by-step explanation:
Answer:
The answer is 8, take away 8.25 from 210 and then divide it by 23
Please help me
The question is at what rate did rain fall
Answer:
4 cm per hour that's the answer
Can someone please help asap thank you
Answer:
7%
Step-by-step explanation:
.07x1 is .07, therefore tax rate
please give brainliest im desperate
