After raining for 3/4 of an hour, a rain gauge is 2/5 filled. If it continues to rain at that rate for 15 more minutes, what fraction of the rain gauge will be filled?
To help answer this question, Diego wrote the division equation 3/4 ÷ 2/5 = ?. Explain why this equation does not represent the situation.
Number of minutes in 3/4 of an hour is :
n = 3/4 × 60 = 45 minutes.
Now, If it continues to rain at that rate for 15 more minutes :
So, time taken = 45 + 15 min = 1 hour.
Let, rain gauge is filled x fraction in 1 hour.
So,
[tex]\dfrac{3}{4}x = \dfrac{2}{5}\times 1\\\\x = \dfrac{8}{15}[/tex]
Hence, this is the required solution.
Write next two terms in the pattern 9, 27, 81, 243 __,__,
Yellow rectangles= X Yellow squares = positive Red squares = negative
1) 5x – 3 = 7
2) 3x + 4 = -2
3) 3x + 6 = -9
4) 2x - 4 = 14
5) 3x – 4 = 8
6) 4x + 7 = 11
Answer:
that is a great question, could u explain more? im serious
Step-by-step explanation:
Answer:
The large squares represent X squared, and had two sides, blue and red, to determine whether it is positive or negative (blue = positive, red = negative). There is also the long rectangles that represent X, with the positive side being green and the negative red. The side length of X is the same side length of X squared, which makes sense because X multiplied by X equals X squared. The smallest square pieces represent the number 1. The colours are yellow for positive and red for negative. These are the basic pieces used in algebra tiles. Hope this helps
Step-by-step explanation:
An observation tower is 75 m high. A support wire is attached to the tower 20 m from the top. If the support wire and the ground form an angle of 46 degrees, what is the length of the support wire, to the nearest thousandth?
Answer: 76.46 m
Step-by-step explanation:
Height of tower = 75m
Support wire 20 m from top
Angle formed (α) = 46°
Using Pythagoras :
Sinα = opposite / hypotenus
Height used = height of tower - 20 m from top
Height = opposite = (75 - 20)m = 55m
Hypotenus = Length of support wire
Sin 46 = 55m / hypotenus
Hypotenus * sin 46 = 55
0.71934 * hypotenus = 55
Hypotenus = 55/0.71934
Hypotenus = 76.458976
Hence, Lenght of support wire = 76.46 m
4
10 x
15
Multiply. Write your answer as a fraction in simplistic forms.
Answer:
6
Step-by-step explanation:
4/10 x 15 = 60/10
60/10 = 6
Write an equation of the line that is perpendicular to 2x +4y = 6 and passes through the point (6,4)
Answer:
B
Step-by-step explanation:
let equation be y = mx + b.
2x + 4y = 6
1/2x + y = 3/2
y = -1/2x + 3/2
since perpendicular, their gradients produced equals neg 1.
so,
m = -1/(-1/2) = 2
sub (6, 4):
4 = 2(6) + b
b = -8
therefore, eqn is y = 2x - 8
Topic: coordinate geometry
If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!
RAM, HARI and SHYAM INVEST A SUM OF RS. 15000 ON A BUSINESS IN THE RATIO OF 4 : 5. FIND EACH OF THEIR INVESTMENT.
(STEP BY STEP PLZ) (HOPE U HAVE FUN SOLVING THIS RIDDLE)
Answer:
hey iif ram hari n shyam invest then the ratio shall be like x:y:z but the qstn isnot . ram:hari:shyam =? it can't be 4:5 only it might be 4:5:?
Answer:
see the photo please
Step-by-step explanatio
How to determine the remainder in dividing the polynomial P(x) by a divisor x-1?
Answer:
Calculate P(1)
Step-by-step explanation:
Given
P(x)
[tex]Divisor = x - 1[/tex]
Required
How to determine the remainder
First, you equate the divisor to 0 to solve for x
i.e.
[tex]x - 1 = 0[/tex]
[tex]x = 1[/tex]
Next, substitute 1 for x in P(x)
Then solve for P(1)
Take for instance;
If
[tex]P(x) = x^3 - x^2 - 1[/tex]
Substitute 1 for x
[tex]P(1) = 1^3 - 1^2 - 1[/tex]
[tex]P(1) = 1 - 1 - 1[/tex]
[tex]P(1) = - 1[/tex]
Hence, the remainder is -1
Which coordinate grid shows Point A at (0.50, −1.25)? (1 point)
a
Coordinate grid shown from negative 2 to positive 2 on the x-axis and negative 2 to positive 2 on the y-axis in increments of 1 over 4. Only the whole numbers are labeled. A point A is shown at the intersection of 5 grid lines to the left of the y-axis and 2 grid lines above the x-axis.
b
Coordinate grid shown from negative 2 to positive 2 on the x-axis and negative 2 to positive 2 on the y-axis in increments of 1 over 4. Only the whole numbers are labeled. A point A is shown at the intersection of 5 grid lines to the right of the y-axis and 2 grid lines below the x-axis.
c
Coordinate grid shown from negative 2 to positive 2 on the x-axis and negative 2 to positive 2 on the y-axis in increments of 1 over 4. Only the whole numbers are labeled. A point A is shown at the intersection of 2 grid lines to the left of the y-axis and 5 grid lines above the x-axis.
d
Coordinate grid shown from negative 2 to positive 2 on the x-axis and negative 2 to positive 2 on the y-axis in increments of 1 over 4. Only the whole numbers are labeled. A point A is shown at the intersection of 2 grid lines to the right of the y-axis and 5 grid lines below the x-axis.
please say is a,b,c,d thank you five stars.
9514 1404 393
Answer:
(d) see below
Step-by-step explanation:
Since each grid square is 1/4 unit. the coordinates in terms of grid squares are ...
A(0.50, -1.25) ⇒ (0.50/.25, -1.25/.25) = (2, -5) . . . grid squares
Point A is located 2 squares right and 5 squares down on the grid. This matches choice D.
Answer:
I believe it's D
Step-by-step explanation:
There are 39 students in a class.
10 of the students are female.Find the percentage of the class that are female.
Give your answer to the nearest percent
Answer:
26%
Step-by-step explanation:
10/39 + 100% = 25.64102%
nearest percent, 26%
need help on this! thanks :)
Answer:
1/3
Step-by-step explanation:
Answer:
-2,4
Step-by-step explanation:
Subtract
- 2y^(2)+7y+3
from
5y (2)-8y+9
A) 7y^(2) - y + 6 B) -7y^(2) + 15y - 6 C) 7y^(2) - 15y + 12 D) 7y^(2) - 15y + 12 PLZ HELP I NEED THIS Question answered ASAP!!!!!
Ali has x cards Belinda has twice as many cards than Ali, Charlie has 5 more cards than Ali, They have a total of 33 cards. show that 4x+5=33 work out the number of cards Ali has.
help please i’ll give brainliest
Answer:
The area of a triangle is 1/2 bh
Step-by-step explanation:
1/2(7)(5)
Area = 52.5 meters²
NEED HELP!
what makes this equation true ?
4 = 36 ÷
Answer:
it would be 144
Answer:
9
Step-by-step explanation:
Helppppppppppppppppppp will hive brainliest!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
the constant propertianr would be 4!
Step-by-step explanation:
1 times 4 is 4
2 times 4 is 8
3 times 4 is 12
4 times 4 is 16
Shanice had $1500 into her checking account when she went on a 7 week trip to Europe after her senior year. When she returned from Europe she had $450 in the bank. How
much did she spend each week in Europe?
Answer:
she spent 1050$
Step-by-step explanation:
1500-1050=450
can you help me please
Answer:
5.
A) 1:2
6.
D) 9 min
Plz make brainlest, THESE ARE THE CORRECT ANSWERRRRSS!
Step-by-step explanation:
5. 12:24
reduce to get 1:2
6. 225/25= 9 min
A restaurant customer left $1.40 as a tip. The tax was 6% and the tip was 20% of the after tax cost.Which information is not needed to compute the bill after tax and tip? What was the total bill?
Answer:
Step-by-step explanation:
(10 x 100) x = 0.70. (10÷ 10) 100 ÷ 10. = 1/10 x = 0.70. X 0.70 x 10. X= 7.00
Answer:
Its 8.40 7.00 is wrong
Step-by-step explanation:
I will mark brain list I promise
Answer: ∠1 = 77; ∠3 = 41; ∠5 = 41; ∠6 = 92; ∠9 = 103; ∠12 = 47; ∠14 = 103; ∠17 = 41
because of 2 parallel lines
=> ∠1 = ∠10 = 77°
∠7 = ∠12 = 47°
∠16 = ∠7 + ∠6 = 139° ⇒ ∠6 = 139° - ∠7 = 92°
have: ∠7 + ∠6 + ∠5 = 180° ⇒ ∠5 = 180° - (∠7 + ∠6) = 180° - 139° = 41°
∠10 + ∠14 = 180° ⇔ ∠14 = 180° - ∠10 = 103°
∠14 = ∠9 = 103°
∠3 = ∠5 = ∠17 = 41°
Step-by-step explanation:
PLEASE HELL 1. Convert the given angle measure from radians to degrees: 11pie/4
45
495
180°
1980°
Answer:
495 degrees is the answer
if 3/4 = x/8, then x is equal to
Answer:
6
Step-by-step explanation:
Answer:
6. i have this question in my online class
Step-by-step explanation:
hope this helps!
ik im late but- the pointssss
Triangle ABC is shown with its inscribed circle drawn. The measure of angle ECF is 72 degrees. What is the measure of angle EGF? Explain or show your reasoning.
Answer:
108°
Step-by-step explanation:
CB and CA are tangents to the circle at points E and F respectively. GE and GF are radii of the circle with center G.
Since, radii of a circle are perpendicular to the tangents at the point of contacts.
[tex] \therefore GE \perp CB\\\\
\& \:GF \perp CA\\\\
m\angle GEC =m\angle GFC = 90\degree \\\\[/tex]
In quadrilateral GECF, by interior angle sum property:
[tex] m\angle C + m\angle E + m\angle F + m\angle EGF = 360\degree \\\\
\therefore 72\degree + 90\degree + 90\degree + m\angle EGF = 360\degree \\\\
\therefore 252\degree + m\angle EGF = 360\degree \\\\
\therefore m\angle EGF = 360\degree - 252\degree \\\\
\therefore m\angle EGF = 108\degree \\[/tex]
Answer:
108°Step-by-step explanation:
Since GE ⊥ BC and GF ⊥ AC,∠GEC = ∠GFC = 90°Sum of 4 angles is 360°, therefore:
∠ECF + ∠EGF = 360° - 180°∠EGF = 180° - 72° ∠EGF = 108°pleaseeee helpppppppp
Answer: y=-1/4x+-14
Step-by-step explanation:
What is the equation of the line of symmetry for the parabola represented by the equation y=−2x2+20x−44?
Answer: x=5
Step-by-step explanation:
Please help ASAP (algebra)
what is the product of 20 hundredths and 65 thousandths
Answer:
0.013
Step-by-step explanation:
20 hundredths = 0.2
65 thousandths = 0.065
0.2 × 0.065 = 0.013
After all of the start-up costs, a company starts with $100 and makes $0.75 on each unit sold. Write a linear equation in slope intercept form that models this situation using P for profit and N for number of units sold.
A). p=100n+75
B). n=100p+75
C). p=0.75n+100
D). n=0.75p+100
If you guys could help me I would greatly appreciate it!!
The answer would most likely be c because you multiply 0.75 by the amount of units sold and find out the profit after adding it.
Hope this helps! :)
If the measure of each interior angle of a regular polygon is 168, find the number of sides in the polygon.
Answer:30 sides
Step-by-step explanation:your welcome
48/42 = 16/14
a
proportional
b
non-proportional
Answer:
proportional
Step-by-step explanation:
proportional
48/3 = 16
42/3 = 14