Answer:
the common difference is 10
Matthew decided to bake cupcakes for the school fundraiser. He wants to make 2 dozen cupcakes--one dozen strawberry and one dozen chocolate. He needs 2 1/4 cups of flour for the strawberry cupcakes and 2 1/3 cups of flour for the chocolate cupcakes, but he only has 4 cups of flour. Which two expressions could be used to correctly determine the amount of flour, in cups, Matthew still needs to bake his two dozen cupcakes? 2 part what is the total amount of flour, in cups, Mathew still needs for his cupcakes? NO LINK
Answer:
[tex]4+c=2\frac{1}{4}+2\frac{1}{3},\\\\\frac{7}{12}\:\text{more cups of flour}[/tex]
Step-by-step explanation:
The total amount of flour, in cups, Matthew needs is equal to [tex]2\frac{1}{4}+2\frac{1}{3}=4\frac{7}{12}[/tex]. Because he only has 4 cups, we can write the following expression to determine how many additional cups of flour he needs:
[tex]4+c=2\frac{1}{4}+2\frac{1}{3},\\\\4+c=\frac{7}{12}, \\\\c=\boxed{\frac{7}{12}\:\text{more cups of flour}}[/tex]
4. A room has 20 seats - some are stools and some are chairs. Each stool has 3 legs and each chair has 4 legs.
Altogether there are 68 legs.
How many
stools are there?
Answer:
There are 12 stools in the room
[tex]2 {a}^{2} - 3ab + {b}^{2} from3 {a}^{2} + 2ab - {b}^{2} [/tex]
Answer:
a (a - b)
Step-by-step explanation:
[tex]2a^{2}-3ab+b^{2} from 3a^{2} + 2ab - b^{2}[/tex]
Now, as [tex]2a^{2}-3ab+b^{2}[/tex] is from [tex]3a^{2} + 2ab - b^{2}[/tex]
so it will be subtracted :
[tex]3a^{2} + 2ab - b^{2}[/tex] [tex]-2a^{2}-3ab+b^{2}[/tex]
= [tex]a^{2} - ab[/tex]
= a (a - b)
A semi-circle is connected to an isosceles triangle. The radius of the semi-circle is 2 inches, and the height of the triangle is 6 inches. Find the area of the composite figure.
Answer:
18.28 sq inches
Step-by-step explanation:
the area of the composite fig. =
(½×3.14×2²)+(½×4×6)
= 6.28 + 12 = 18.28
What is EG? Round to the nearest tenth if necessary.
Answer:
26.
Step-by-step explanation:
As the vertex angles are equal:
24/54 = x / x+10
54x = 24x + 240
30x = 240
x = 8
So EG = x + x + 10
= 8 + 8 + 10
= 26..
The diameter of a cone-shaped storage tank is 14 feet and it's height is 9 feet. Find the volume of liquid the tank can hold. Round your answer to the integer, if necessary. Use the approximate of value of /pi , that is 3.14.
Answer:
461.6 ft³
Step-by-step explanation:
V(cone) = 1/3πr²h
= 1/3π(7²)(9)
= 49·3π
= 147(3.14)
= 461.6 ft³
HELP!!!!
5^m x (5^-7)^m = 5^12
Answer:
not sure lol but, like it up
Step-by-step explanation:
write the equation for the circle graphed below.
Answer:
[tex](x -1)^2 + (y+1)^2 = 0.25[/tex]
Step-by-step explanation:
Given
The attached graph
Required
The equation of the circle
The equation of a circle is:
[tex](x - h)^2 + (y - k)^2 = r^2[/tex]
Where
[tex](h,k) \to center[/tex]
[tex]r \to radius[/tex]
From the attached graph,
[tex](h,k) = (1,-1)[/tex]
[tex]r = 0.5[/tex]
So, we have:
[tex](x - h)^2 + (y - k)^2 = r^2[/tex]
[tex](x -1)^2 + (y--1)^2 = 0.5^2[/tex]
[tex](x -1)^2 + (y+1)^2 = 0.5^2[/tex]
[tex](x -1)^2 + (y+1)^2 = 0.25[/tex]
Three bowls and four mugs can hold a total of 2.52 litres of water. Each bowl can hold
70 ml more than a mug. How much water can a mug hold? Give your answer in litres.
(with full working)
9514 1404 393
Answer:
0.33 litres
Step-by-step explanation:
If a mug can hold a volume of m litres, then a bowl can hold a volume of m+0.07 litres. The total volume held by the given containers is ...
3(m +0.07) +4m = 2.52
7m +0.21 = 2.52 . . . . . . . . simplify
7m = 2.31 . . . . . . . . . . . . . subtract 0.21
m = 0.33 . . . . . . . . . . . . . divide by 7
Each mug can hold 0.33 litres.
find the ratio of volumes of two cuboids whose sides are in the ratio 3/1
Answer:
The ratio of volumes is of 27.
Step-by-step explanation:
Volume of a cuboid:
A cuboid has dimensions length l, width w and height h. The volume is given by:
[tex]V = lwh[/tex]
Multiplying dimensions by 3:
This means that l = 3l, w = 3w, h = 3h. So
[tex]V_m = 3l(3w)(3h) = 3*3*3*lwh = 27lwh[/tex]
Ratio of volumes:
[tex]\frac{V_m}{V} = \frac{27lwh}{lwh} = 27[/tex]
The ratio of volumes is of 27.
24% of what is 25? Round to the nearest tenth.
Can someone help me please?
Answer:
.08
Step-by-step explanation:
Answer:
Hi, there your answer is 0.08
Step-by-step explanation:
Chau rented a truck for one day. There was a base fee of $18.95, and there was an additional charge of 95 cents for each mile driven. Chau had to pay $198.50
when he returned the truck. For how many miles did he drive the truck?
Let's say John drove 2 miles. He had to pay the base fee of $18.99 and $.75(2) = $1.50, so he paid $20.49 total.
We are given his total, though, and asked to find the mileage.
18.99 + .75m = 199.74
-18.99 -18.99
.75m = 180.75
.75 .75
m = 241
So, John drove 241 miles.
Hope this helps!
I
Which of the following statements are true about solids shown above
Check all that apply
A prism a has a lateral surface are of 60 cm 2
B prism b has a total surface are of 110 cm 2
C prism b has larger surface area
D prisms A and B have different values for lateral surface area
Ans its b and c
Step-by-step explanation:
whats the answer. ill make this 20 pts
Answer:
B
Step-by-step explanation:
[tex] \sqrt[y]{ {x}^{z} } = {x}^{ \frac{z}{y} } \\ [/tex]
DO NOW
1)_Write an equation that represents the
line whose slope is 5 and has a (-2,4) on
the line.
Answer:
y=5x+14
Step-by-step explanation:
Plug this into the equation y-y1=m(x-x1) where m is the slope. y1 is equal to 4, x1 is equal to -2, and m is equal to 5. This will make the equation y-4=5(x--2). This is equal to y-4=5(x+2). Use the distributive property to get y-4=5(x)+5(2). Simplify to get y-4=5x+10. We want to isolate y so we have to add 4 to both sides. This will be equal to y=5x+10+4. Combine like terms to get y=5x+14. Therefore, the equation is y=5x+14.
If this helps please mark as brainliest
define gender based violence
Answer:
Step-by-step explanation:
Elder abuse is any action that causes harm or distress to an older person. ...
Sexual violence is any action that results in the loss or removal of sexual autonomy for a person. ...
Stalking is a pattern of harassing behavior or course of conduct directed at a specific person that would place that person in reasonable fear.
is (0,0) a solution to this system
is (0,0) a solution to what system?
) As an ice cube melts its surface area is decreasing at a rate of 6cm2/sec. Find the rate at which the length of each side is decreasing at the moment when each side has length 2 cm. [Hint: a cube has 6 sides and each side has area x 2 where x is the side length]
Answer:
The rate of decreasing of the length is 0.25 cm/s.
Step-by-step explanation:
The surface area of the ice cube is:
[tex]A_{ice}=6x^{2}[/tex]
Where x is the side of the cube.
Let's take the derivative of A with respect to "t" to get the rate of change.
[tex]\frac{dA_{ice}}{dt}=12x\frac{dx}{dt}[/tex]
We know that dA/dt = 6 cm²/s and x is 2 cm, so we just need to solve it for dx/dt which is the rate change of the length.
[tex]6=12(2)\frac{dx}{dt}[/tex]
[tex]\frac{dx}{dt}=\frac{1}{4}\: cm/s[/tex]
Therefore, the rate of decreasing of the length is 0.25 cm/s.
I hope it helps you!
What is the slope of a line that runs through (-2,4) and (3,7)
Answer: m=0.6
Step-by-step explanation:
Use the m= y2-y1/x2-x1 formula to calculate slope.
7-4=3
Divided by
3-(-2)=5
3/5= 3/5 or 0.6
Answer:
slope = 3/5
Step-by-step explanation:
slope = rise/run
---------------------------
y rises from 4 to 7 = 3
x runs from -2 to 3 = 5
slope = 3/5
If f(1)=6f(1)=6 and f(n)=nf(n-1)-4f(n)=nf(n−1)−4 then find the value of f(3)f(3).
Answer:
49
Step-by-step explanation:
Answer:6144
Step-by-step explanation:
If f(1)=6f(1)=6 and f(n)=4f(n-1)f(n)=4f(n−1) then find the value of f(6)f(6).
f(1)=
f(1)=
\,\,6
6
f(\color{darkgreen}{2})=
f(2)=
\,\,4f(\color{darkgreen}{2}-1)
4f(2−1)
=
=
\,\,4f(1)
4f(1)
=
=
\,\,4(6)
4(6)
Substitute f(1)=6
f(2)=
f(2)=
\,\,24
24
f(\color{darkgreen}{3})=
f(3)=
\,\,4f(\color{darkgreen}{3}-1)
4f(3−1)
=
=
\,\,4f(2)
4f(2)
=
=
\,\,4(24)
4(24)
Substitute f(2)=24
f(3)=
f(3)=
\,\,96
96
f(\color{darkgreen}{4})=
f(4)=
\,\,4f(\color{darkgreen}{4}-1)
4f(4−1)
=
=
\,\,4f(3)
4f(3)
=
=
\,\,4(96)
4(96)
Substitute f(3)=96
f(4)=
f(4)=
\,\,384
384
f(\color{darkgreen}{5})=
f(5)=
\,\,4f(\color{darkgreen}{5}-1)
4f(5−1)
=
=
\,\,4f(4)
4f(4)
=
=
\,\,4(384)
4(384)
Substitute f(4)=384
f(5)=
f(5)=
\,\,1536
1536
f(\color{darkgreen}{6})=
f(6)=
\,\,4f(\color{darkgreen}{6}-1)
4f(6−1)
=
=
\,\,4f(5)
4f(5)
=
=
\,\,4(1536)
4(1536)
Substitute f(5)=1536
f(6)=
f(6)=
\,\,6144
6144
\text{Geometric Sequence:}
Geometric Sequence:
Common ratio of 4
6,24,96,384,1536,6144, ...
6,24,96,384,1536,6144,...
\text{Final Answer:}
Final Answer:
6144
pls help!! correct answer will be marked brainliest
Answer:
67.7
Step-by-step explanation:
Because it is the exact same as 67.7 angle n is. So it is 67.7 I went over this recently so I understand your pain!
is 0.45 greater than 0.5
Answer:
0.5
hope this helps
have a good day :)
Step-by-step explanation:
If you rolled two dice, what is the probability
that you would roll a sum of 4?
Give your answer as a simplified fraction. Enter
the number that belongs in the green box.
3
second
first
1 2
4 5 6
11,1 1,2 1,3 1,4 1,5 1,6
22,1 2,2 2,3 2,4 2,5 2,6
33,1 3,2 3,3 3,4 3,5 3,6
4 4,1 4,2 4,3 4,4 4,5 4,6
55,1 5,2 5,3 5,4 5,5 5,6
6 6,1 6,2 6,3 6,4 6,5 6,6
Enter
Answer:
1/12
Step-by-step explanation:
3/36=1/12
4 more than a number is 12
Answer:
555
Step-by-step explanation:
Answer:
4 + x = 12
x = 8
Step-by-step explanation:
4 more than a number is 12
I will represent the mystery number as "x"4 + x = 12
x = 8
How many students were questioned about the approximate number of text messages they send each day? Explain or
show how you arrived at your answer.
How do you write 6.00 × 10–5 in standard form?
Answer:
[tex]60x-5[/tex]
Step-by-step explanation:
Multiply 10 by 6
60x - 5
A person of interest was identified by the police. Using three different telecommunication towers,
the police were able to gather the following information about the person's cell phone location.
• The person is 7 miles away from A(4,4.6).
• The person is 5 miles away from B(-3.5, - 3.8).
• The person is 6 miles away from C(-6, 5.5).
Use the information from towers A, B, and C to find the approximate location of the person of
interest.
Answer:
Well since he tracked the person through the communication towers he was able to gather information, with this information we can solve and find out how far this person is.
Step-by-step explanation: read above and trust
if f(x)= 9+3x, find f(-2)
Answer:
f(-2) =3
Step-by-step explanation:
f(x) = 9+3x
Let x=-2
f(-2) = 9+3(-2)
= 9-6
= 3
f ( -2 ) = 9 + 3( - 2 )
f ( -2 ) = 9 - 6
f ( -2 ) = 3
a letter to PTA chairman about school problems
Answer:
Dear Chairman/or MR.?….
Re: Concerns regarding insanitary conditions/health of children
I would be grateful if you could let me have the latest Minutes of PTA Meetings particularly if they relate to the health of young people as it relates to the lack of proper cleaning and the general insanitary conditions in the toilets and areas where food is consumed by children
Whilst l am aware that schools are always short of cash for what may be regarded as non-essentials, l would like the opportunity to discuss with you my ideas on dealing with this very important aspect of basic hygiene, cleanliness and education if it is found to be that the insanitary conditions are such which young people themselves may be partly responsible. If funds are needed for the purchase of specific items l have suggestions as to the raising of funds for these.
I look forward to hearing from you as a matter of urgency.
Yours sincerely,
, if addressed by name/ faithfully, if not by name,
Step-by-step explanation: