Answer:
Number of marbles with Williams at the starting = 192
Step-by-step explanation:
Let total number of marbles with Williams = m
He lost marbles = 25% of the total number
= [tex]\frac{25}{100}\times m[/tex]
= [tex]\frac{m}{4}[/tex]
Remaining marbles with Williams = m - [tex]\frac{m}{4}[/tex]
= [tex]\frac{3m}{4}[/tex]
He gave marbles to his brother = [tex]\frac{1}{6}[/tex]th of the remaining marbles
= [tex]\frac{1}{6}\times \frac{3m}{4}[/tex]
= [tex]\frac{m}{8}[/tex]
Remaining marbles after giving marbles to his brother = 120
Therefore, [tex]\frac{3m}{4}-\frac{m}{8}=120[/tex]
[tex]\frac{6m}{8}-\frac{m}{8}=120[/tex]
[tex]\frac{5m}{8}=120[/tex]
m = [tex]\frac{120\times 8}{5}[/tex]
m = 192
Number of marbles with Williams at the starting = 192
Help Please ASAP all answers are greatly appreciated!
Answer:
its either a or b not entirely sure on which
Step-by-step explanation:
the area of the rectangle is 180 (15x12) so it cant be 180 and the semicircle is smaller then the rectangle so it cant be more than 360 hope this helps
Answer:
236.5
Step-by-step explanation:
Sorry if it looks messy, I messed up in the middle!
A metre stick is left outside in the sun and it expands. Explain how this will affect the sticks accuracy and precision. I'm just confused what they mean by the question lol The stick?? Expands???
Answer:
The expansion of a metre stick (also known as meter stick) in the Sun will affect the meters stick accuracy by reducing the values of the actual length of the dimensions measured with the meter stick
The linear expansion, ΔL, of the meter stick is given according to the following formula;
ΔL = ∝·L₀·ΔT
Where;
ΔL = The expansion (change in length) of the meter stick
∝ = The coefficient of linear expansion for the meter stick
L₀ = The initial length of the meter stick = 1 meter
ΔT = The temperature change of the meter stick
Due to the small value of ∝ for a meter stick, the change in length of the meter stick is small but the difference will affect the accuracy of the measurements made by the meter stick and the length of an item with actual length of 1 meter can be given by the expanded meter stick as 99 cm
Step-by-step explanation:
Which is the product of 15 5/12
Answer:
25/4 or 6 1/4
Step-by-step explanation:
15 x 5/12 = 5 x 5/4 = 25/4
The temperature at midnight was -12 degrees F. The temperature rose to 28 degrees by noon.
What was the temperature change, t, during this time?
5m - 2n=4
m - 4n = -1
20 3x + 5y = 11
2x - y=3
Answer:
Step-by-step explanation:
5m - 2n = 4
m - 4n = -1 add 4n to both sides m - 4n + 4n = 4n - 1
m = 4n - 1 now substitute for m into the first equation
5(4n -1) - 2n = 4
20n - 5 - 2n = 4 combine the n coeffients and add 5 to both sides
18n - 5 = 4 + 5
18n = 9 solve for n by dividing 18 by both sides
18 n/18 = 9 /18
n = 1/2 now find for m using m = 4n - 1 m = 4(1/2) - 1 m = 2 -1 = 1
m = 1 (1, 1/2) solves the two equations
3x + 5y = 11 equation 1
2x - y = 3 multiply both sides by 5 so when you add the two equation
the y term is eliminated (becomes zero)
5(2x-y) = 5(3)
10x - 5y = 15 equation 2 add equation 1 and equation 2
3x + 5y = 11 add the like terms
10x - 5y = 15 add the like terms
(3x + 10x) + (5y - 5y) = (11 + 15)
13x + 0 = 26 the y tern is gone now solve for x
13x = 26
13x/13 = 26/13
x = 2 now find y using 2x - y = 3
2x - y = 3 add y and subtract 3 from both sides
2x - y + (y - 3) = 3 + (y - 3)
2x - 3 = y we already know x = 2
2(2) - 3 = y
4 - 3 = y
1 = y answer (2,1) solves the two equaitons
Logan is doing a handstand dive from a 12 meter platform. The equation that
models the path of her dive is given by h -4.9t2 + 12, where t is seconds.
At what height will she be after 1 second?
3/4 (x +21) = 10 1/2
What does x equal?
Answer:
[tex] \huge \boxed{ \boxed{ \red{x = - 7}}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:equationPEMDASlet's solve:[tex] \sf distribute : \\ \frac{3 x+ 63}{4} = 10\frac{1}{2} [/tex][tex] \sf simplify \: mixed \: fraction : \\ \frac{3x + 63}{4} = \frac{21}{2} [/tex][tex] \sf cross \: multipication : \\ 2(3x + 63) = 84[/tex][tex] \sf distribute \: 2 : \\ 6x + 126 = 84[/tex][tex] \sf cancel \: 126 \: from \: both \: sides : \\ 6x + 126 - 126 = 84 - 126 \\ 6x = - 42[/tex][tex] \sf divide \: both \: sides \: by \: 6 : \\ \frac{6x}{6} = \frac{ - 42}{6} \\ \bcancel{\frac{6x}{6} } = \frac{ \cancel{ - 42} \: ^{ - 7} }{ \cancel{ \: 6}} \\ \therefore \: x = - 7[/tex]Step-by-step explanation:
Solution given;
[tex] \frac{3}{4} (x + 21) = 10 \frac{1}{2 } \\ 3x + 63 = \frac{21}{2} \times 4 \\ 3x = 42 - 63 \\ x = \frac{ - 21}{3} \\ x = - 7[/tex]
:.x=-7 is your answer.
You work in the upholstery department of a furniture factory.
You are trained
to upholster couches, loveseats, and chairs.
You receive $165 for each couch, $110 for each loveseat, and $95 for each chair.
During the last 4 weeks you
upholstered 5 couches, 6 loveseats, and 5 chairs.
a. What is your total pay for the 4 weeks?
b. If you worked 160 hours, what was your hourly rate?
Answer:
total pay in 4 weeks is $ 1960.00
$ 12.25 per hour
Step-by-step explanation:
5 x 165= $ 825
6 x 110= $ 660
5 x 95= $ 475
____________
$ 1960.00 dollars divided by 160 = 12.25
1960/ 160= 12.25
Helpppp pleeasseee, will mark brainliest!
Answer:
a
Step-by-step explanation: I am 99% sure
Help. Best=brainliest
find each measure plz help
Answer:
m∠QRS = 52°
Step-by-step explanation:
From the given figure,
In right triangles ΔRQT and ΔRST,
QT = TS = 7.5 units [Given]
RT ≅ RT [Reflexive property]
ΔRQT ≅ ΔRST [By HL theorem of congruence]
Therefore, m(∠QRT) = m(∠SRT) = 26° [CPCTC]
m(∠QRS) = 2m(∠QRT)
= 2×(26°)
= 52°
Seafloor spreading creates new rock on the __________ and pushes old rock to the__________.
Please Help! This is due today!
Use trignometric ratios. round the value of x to the nearest tenth.
The correct answer will get Brainliest.
x/(12 m) = sin17°
x/(12 m) = 0,2924 / * 12 m
x ≈ 3,5 m
Please s helppppppo!!!!
Answer:
22
Step-by-step explanation:
Hey There!
So if you didn't know angle H is a right angle. So we are given two angles and they want us to find the missing angle
Remember all of the angles of a triangle add up to equal 180
so we subtract the given angles from 180 to find the missing angle
180-90-68=22
so we can conclude that angle G = 22
INSTRUCTIONS: Calculate the Mean, Median, Mode, and Range from the data set (February 14-28, 2021).
10.9, 10.4, 9, 5.7, 7.8, 9.3, 2.2, 11, 9.6, 4.8, 7.4, 8.4, 7.7, 10.8, 7.7, 10.8, 13.7 (PLS HELP)
Answer:
The mean is 128.7
There is no mode
The median is 9
The range is 11.5
Step-by-step explanation:
What is the equation of the line that passes through the point (-3, 4) and has a
slope of 1
Trista needed x number of cups
of flour to bake cupcakes. If she
triples her recipe she will need
6 cups of flour.
Answer:
x = 2
Step-by-step explanation:
x * 3 = 6 → is your equation to solve for x
x = [tex]\frac{6}{3}[/tex]
x = 2
What's 5 over 3 times 6
Answer:10
Step-by-step explanation:
PLEASE HELP!
Find the indicated side of the triangle.
Answer:
Step-by-step explanation:
Because a and b are both opposite 45 degree angles, a=b. Using the Pythagorean Theorem we can say.
[tex]2a^2=28^2\\ \\ 2a^2=784\\ \\ a^2=\frac{784}{2}\\ \\ a=\sqrt{\frac{784}{2}}\\ \\ a=\frac{28}{\sqrt{2}}[/tex]
9514 1404 393
Answer:
a = b = 28/√2
Step-by-step explanation:
The ratios of side lengths in an isosceles right triangle are ...
1 : 1 : √2 = a : b : 28
If we multiply the first ratio numbers by 28/√2, we get ...
1 : 1 : √2 = (28/√2) : (28/√2) : 28
That is, ...
a = b = 28/√2
_____
Alternate solution
Once you realize the triangle is isosceles, so that a=b, then you can use the Pythagorean theorem.
a^2 + a^2 = 28^2
2a^2 = 28^2 . . . . . . simplify
a√2 = 28 . . . . . take the positive square root
a = b = 28/√2
In ΔQRS, the measure of ∠S=90°, the measure of ∠Q=31°, and RS = 27 feet. Find the length of SQ to the nearest tenth of a foot.
Answer:
44.9
Step-by-step explanation:
HELP PLSSS ILL MARK YOU BRAINLIIEST !!!!!!!!!!
Answer:
5.6
Step-by-step explanation:
What is the value of x in the figure?
Answer:
x = 27
Step-by-step explanation:
The little square at the bottom of the figure means that that angle is a right angle, or 90°. Knowing that it's a 90° angle and that one section of the adjacent angle is 63°, we just calculate 90-63 to get 27, the value of x.
A new health drink has 130% of the recommended daily allowance (RDA) for a certain vitamin. The RDA for this vitamin is 30 mg. How many milligrams of the vitamin are in the drink?
Answer:
39 mg
Step-by-step explanation:
To get the number of milligrams, all we have to do is to find 130% of the RDA
mathematically, we have this as;
130% of 30
= 130/100 * 30 = 39 mg
n is an integer
write the values of n such that -15<3n<_6
-15<3n<-6 ÷3 → -5<n<-2
n = -4 , -3
Dragonflies today have a wingspan of 6 inches. The ancestors of the dragonfly had a wingpan 5 times greater. How long was the wingspan of the dragonfly's ancestors?
Change Of Percent
11.
0.1 to 0.2
Answer:
0.1-0.2 is a change of 100% as it is doubled.
Please help, this is for a final grade and it affects how I place
Find the circumference of a circle with radius, r = 10.5m.Give your answer in terms of π
.
Answer:
Circumference of circle =2πr=2π×10.5=21πm
Step-by-step explanation:
Will give brainlest
a = 3, k = 12, z = 6, h = 4
Evaluate the algebraic expression
zh
—
a.
zh
— =
a
Answer:
8
Step-by-step explanation:
6*4/3=8
Answer:
[tex] \frac{6(4)}{3} \\ = \frac{24}{3} \\ = 8[/tex]
Lian buys 10 packs of batteries. C batteries are sold in packs of 6. AAA batteries are sold in packs of 8. Lian buys 72 batteries in all. Let x be the number of packs of C batteries. Let y be the number of packs of AAA batteries. Write an equation to find how many packs of each type of battery Lian buys.
i need this right awayyy just the equation pleaseeee
Answer:
x + y = 10
6x + 8y = 72
Step-by-step explanation: