Answer:
[tex]\frac{2}{9}[/tex] of the original cake each friend will receive, so Tari is right.
Step-by-step explanation:
You know that Genesis has [tex]\frac{2}{3}[/tex] of her birthday cake left and she wants to share it between 3 of her friends.
To determine the amount of original cake that each friend will receive is determined by dividing the [tex]\frac{2}{3}[/tex] of the cake into 3 pieces, which is the number of friends.
[tex]\frac{2}{3}[/tex] ÷3
To divide fractions by natural numbers, the whole is considered as a fraction (that is, over the denominator 1). Then you invert this the second fraction and multiply the fractions. For this, you multiply the numerators of the fractions on one side and multiply the denominators of the fractions on the other. If necessary, you simplify the resulting fraction.
In summary, to divide a fraction by a whole number, all you have to do is convert the whole number to a fraction, find the reciprocal of that fraction, and multiply the result by the first fraction.
In this case:
[tex]\frac{2}{3}[/tex] ÷3= [tex]\frac{2}{3} *\frac{1}{3}=\frac{2*1}{3*3} =\frac{2}{9}[/tex]
[tex]\frac{2}{9}[/tex] of the original cake each friend will receive, so Tari is right.
+10 points
For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 8 N acts on a certain object, the acceleration of
the object is 4 m's?. If the force is changed to 18 N, what will be the acceleration of the object?
Answer:
[tex]9\ m/s^2[/tex]
Step-by-step explanation:
For a moving object, the force acting on the object varies directly with the object's acceleration.
F ∝ a
or
[tex]\dfrac{F_1}{a_1}=\dfrac{F_1}{a_2}[/tex]
Put F₁ = 8 N, a₁ = 4 m/s², F₂ = 18 N and a₂ = ?
Put all the values,
[tex]\dfrac{8}{4}=\dfrac{18}{a_2}\\\\2=\dfrac{18}{a_2}\\\\a_2=9\ m/s^2[/tex]
So, the new acceleration is [tex]9\ m/s^2[/tex].
How do I do this please help me
Answer: I think it might be (0,8)
Step-by-step explanation:
PLEASE PLEASE HELP!~!!!!!!!!!!!!!!!!!!!!!!!!
9514 1404 393
Answer:
$6.87
Step-by-step explanation:
The cost of 0.6 pounds of blueberries is ...
(0.6 lb)($3.98/lb) = $2.39
The cost of 1.8 pounds of clementines is ...
(1.8 lb)($2.49/lb) = $4.48
Then the total cost of the purchase is ...
$2.39 +$4.48 = $6.87
The combined cost is $6.87.
A 25 foot ladder leans against a house. How far
is the foot of the ladder from base of the building
if the top of the ladder is 20 feet from the ground?
A. 20 ft
B. 15 ft
C. 18 ft
D. 10 ft
Answer:
x=15
Step-by-step explanation:
A triangle with vertices D, E, and F are plotted on the coordinate plane at (0, 5). (2, 0), and (-4, 2), respectively. When constructed,
medians DG and EH intersect at the point with which coordinates? Round each coordinate to the nearest tenth if necessary.
A. (-0.7, 2.5)
B. (-1, 1)
C. (-0.7, 2.3)
D. (-2, 3.5)
Given:
Vertices of a triangle are D(0,5), E(2,0) and F(-4,2).
To find:
The intersection point of medians DG and EH.
Solution:
We know that, intersection point of all the medians of a triangle is called centroid.
The formula of centroid is
[tex]Centroid=\left(\dfrac{x_1+x_2+x_3}{3},\dfrac{y_1+y_2+y_3}{3}\right)[/tex]
Vertices of a triangle are D(0,5), E(2,0) and F(-4,2). So, the centroid of the triangle is
[tex]Centroid=\left(\dfrac{0+2+(-4)}{3},\dfrac{5+0+2}{3}\right)[/tex]
[tex]Centroid=\left(\dfrac{-2}{3},\dfrac{7}{3}\right)[/tex]
[tex]Centroid=\left(-0.666...,2.333\right)[/tex]
Round each coordinate to the nearest tenth.
[tex]Centroid=\left(-0.7,2.3\right)[/tex]
Therefore, the correct option is C.
Find the value of x.
Answer:
x = 12
Step-by-step explanation:
Question is on the photo pls help
Answer:
d)-8
Step-by-step explanation:
-6s-¹t²-6(3)-¹(-2)²-6(⅓)(4)-8Find the values or a and b
Answer:
a=33 ( vertically opposite angles)
a+90=b( sum of opposite interior angle is equal exterior angle)
33+90 = b
b=123
If 10x +5 = 100, is x greater than 10 or less than 10? Without solving the equation, explain how you
know.
Answer:
Step-by-step explanation:
X is less than 10 because you have the plus in the equation and so it as to be less than ten so that when you multiply it by 10 it equals less than 100. I don’t know if my explanation makes sense but I hope it helps.
What is the value of K?
k=
8
m
o
k
N
M
what is the answer to this ? :)
Answer:
k is 2, l=2√5, m=8√5
Step-by-step explanation:
Triangle MNO is half size of the triangle LON
Please can someone answer this question quickly please
Thanks
Answer:
C. 5/7
Step-by-step explanation:
Answer:
It is C.5/7
Step-by-step explanation:
Hope this helped have an amazing day!
Write an equation of the line that passes through (2,-1) and is parallel to the line y=-3x+8
Answer:
y = - 3x + 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 3x + 8 ← is in slope- intercept form
with slope m = - 3
Parallel lines have equal slopes, then
y = - 3x + c ← is the partial equation
To find c substitute (2, - 1) into the partial equation
- 1 = - 6 + c ⇒ c = - 1 + 6 = 5
y = - 3x + 5 ← equation of line
HELP ILL GIVE BRAINLIEST
An angle measures 158º more than the measure of its supplementary angle. What is the measure of each angle? _° and _°
Answer: 158 and 28
Step-by-step explanation:
Supplementary angles are angles that add to 180, so 180-158 = 28 degrees.
Ryan is building a treehouse it will take 13 1/4 hours to complete he can work on the treehouse 1 1/2 hours each day how many days will it take Complete up with the treehouse complete plzz help like now
Answer:
9 days
Step-by-step explanation:
13 1/4 / 1 1/2 = 8 5/6 so 9 days
What is the solution to this inequality?
42.06 = 21.33 + 3x
Answer:
x = 6.91 hope this helps pls lmk
help me and ill give brainly
Answer:
(-inf, 5)
Step-by-step explanation:
just the previous answer, in anothe r form
luz drives at an average speed of 60 miles per hour.
She has driven for 2 hours and has traveled a distance of 120 miles.
This situation can be represented with a linear equation written in point-slope form, where x represents the number of hours and y represents the number of miles.
Answer:
The answer is y = 60x, there is no y-intercept as she has started at zero.
Step-by-step explanation:
Hope this helps!
Answer:
i got the first one wrong(not 4)
the second is (2,120)
and the last y-120=60(x-2)
Step-by-step explanation:
if two angles in a triangle are 40° and 30°, then the third angle measures 110
Answer:
Si
Step-by-step explanation:
Can u help me please
I'll help
The sum of the prices for the items(That's 2large baskets and small gift baskets) for the first customer is $57. So assuming the price of a large basket is x and small basket is y, then an expression for the first sentence is;
2x + 5y= 57
The sum of the prices for the second customer is $6 less than the first customer ( that's 57-6 which is $51). Since he bought 1 large basket and 10 small baskets and the price of each large basket is the same and the price of each small basket is the same they assume the same variable of x and y. So the expression of the second sentence is;
x+10y=51.
So the expressions will be;
2x+5y=57
x+10y=51
That's Option C
answers for both boxes please :)
Answer:
4,9
Step-by-step explanation:
since y = x+5, substitute the second equation into the first
then the first equation becomes x+5=2x+1
solve and you get x=4
substitute x for 4 in the second equation and you get y = 9
if this answer was correct, please mark this as brainliest! thanks
Someone plz help me have a great day ツ
Answer
What’s your scratch username
Answer:
11 weeks and 3 days
Can anyone help with this please?
Answer:
A
Step-by-step explanation:
Raymond is 7.In 3 years,his age will be 5/3 the age of his sister marissa. How old will marissa he in 3 years?
Answer:
6 years oldStep-by-step explanation:
Raymond is 7His sister is xIn 3 years Raymond will be 10, and his sister x + 3:
10 = 5/3(x + 3)x + 3 = 6x = 3Marissa is 3 now and will be 6 in 3 years
Dominique paid $15.50 to join an online music service.If she purchases 10 songs each month at a cost of $0.99 per song,what will be the total amount she has spent after 8 months.
Answer:
94.7
Step-by-step explanation:
15.50+10*0.99*8
I will give brainlist
Answer:
7
Step-by-step explanation:
5 dived by 1 over 10
start with x, subtract y, multiply by a, then add z
please help me with this
Answer:
(48,15), (63,39), (13,25), (71,52), (28,52)
Step-by-step explanation:
an ordered pair is pretty much an x that goes with a y
I NEED HELP PLEAZE!!!!!!!!!!!!!!!! =(
Answer:
x[tex]\sqrt{6y}[/tex]/ 3[tex]y^{2}[/tex]
Step-by-step explanation:
PLEASE ANSWER THIS! THANKS! :D
Answer:
38 euros
Step-by-step explanation:
ok, so,
you know that
£3 is equal to 4 euros
this means that 0.75 pound is equal to 1 euro
28.50/0.75=38
do 38 times 1, which means that it is 38 euros
please mark me as brainliest!!!<3