. Ann can ice a cupcake in 30 seconds. Sarah can ice a cupcake in 40 seconds. Working
Together, how many seconds will it take them to ice all 35 cupcakes?

Answers

Answer 1

Answer:

600seconds

Step-by-step explanation:

If Ann can ice a cupcake in 30 seconds, then the total number of cupcakes iced by ann is t/30 cupcakes

Similarly, If Sarah can ice a cupcake in 40 seconds, then the total number of cupcakes iced by Sarah is t/40 cupcakes,

For them to ice 35cupcakes together, then;

t/30 +  t/40 = 35

where t is the times taken by both of them to ice 35cupcakes

Find the LCM

40t+30t/1200 = 35

70t/1200 = 35

7t/120 = 35

t/120 = 5

t = 120 * 5

t = 600

This shows that it will take them both 600seconds to ice 35cupcakes


Related Questions

Which expression is equivalent to 3(m - 3) + 4?
3m + 1
O
3m-
5
O
3m + 13
O 3m - 3

Answers

Answer:

3m -5

Step-by-step explanation:

3(m - 3) + 4

Distribute

3m -9 +4

Combine like terms

3m -5

Answer:

3m - 5

Step-by-step explanation:

3(m - 3) + 4

3m - 9 + 4

3m - 5

The reference angle for 4pie/3 is pie/3, which has a terminal point of (1/2, square3/2) .What is the terminal point for 4pie/3 ?

Answers

Answer:

B

Step-by-step explanation:

The terminal point for 4π/3 in the form of a cartesian coordinate will be (-1/2, -√3/2). Then the correct option is B.

How to convert the polar coordinate to a cartesian coordinate?

The polar coordinate system in geometry is a two-dimensional latitude and longitude that uses the distance from a reference point and the angle from an optical axis are used to identify each point's location on a plane. This polar axis is the ray emanating from the pole in the direction of the point of comparison, which is referred to as the pole.

The cartesian coordinate is (x, y) and polar coordinate is (r, θ). Then the relation is given as,

x = r cos θ

y = r sin θ

The angle is 4π/3. Then the cartesian coordinate for a unit radius will be given as,

x = 1 × cos (4π/3)

x = - 1/2

y = 1 × sin (4π/3)

y = - √3 / 2

The terminal point for 4π/3 in the form of a cartesian coordinate will be (-1/2, -√3/2). Then the correct option is B.

More about the polar coordinate to a cartesian coordinate link is given below.

https://brainly.com/question/13333610

#SPJ2

What is the solution to this system of equations?
2x+y = 6
- - x - y = 2
0
0
(1, -1)
(0,8)
infinitely many solutions
no solution

Answers

Answer:

Step-by-step explanation:

{ 2/3 x+y=6

+

{ -2/3x-y=2

= 0=6

Hence,no solution.

Instructions: Find the missing side lengths. Leave your answers as radicals in simplest
form.
60°
22

Answers

Answer:

A. x = 11√3

B. y = 11

Step-by-step explanation:

A. Determination of the value of x.

Angle θ = 60°

Hypothenus = 22

Opposite = x =?

We can obtain the value of x by using sine ratio as illustrated below:

Sine θ = Opposite / Hypothenus

Sine 60 = x / 22

√3/2 = x / 22

Cross multiply

2 * x = 22√3

Divide both side by 2

x = (22√3) / 2

x = 11√3

B. Determination of the value of y.

Angle θ = 60°

Hypothenus = 22

Adjacent = y =?

We can obtain the value of y by using cosine ratio as illustrated below:

Cos θ = Adjacent / Hypothenus

Cos 60 = y / 22

½ = y / 22

Cross multiply

y = ½ × 22

y = 11

Sharon made a triangle park the scale is 1 meter equals 1unit what is the area in square meter

Answers

Answer:

Step-by-step explanation:

1unit is equal to. .?

What is the value of the median?

Answers

Answer:

The middle line in the box is called the median

so, the median is 6

OAmalOHopeO

Ella has two 8ft long boards she needs to cut pieces that are 15 inches long how many 15 inch pieces can she cut the two boards

Answers

Answer:

12

Step-by-step explanation:

Ella has two 8 feet long boards, so in total, she has 16 feet of the boards.

Convert these 16 feet to inches. There are 12 inches in a foot, so multiply 16 by 12:

16(12)

= 192

So, there are 192 inches in the boards. Divide this by 15 to see how many 15 inch pieces she can cut:

192/15

= 12.8

We can only have a whole number answer, because the boards need to be a full 15 inches. So, round this down:

= 12

Ella can cut twelve 15 inch pieces.

[tex]\sqrt{45}[/tex]

Answers

Answer:

6. 72

Step-by-step explanation:

[tex] \sqrt{45} \\ = \sqrt{9 \times 5} \\ = \sqrt{9 } \times \sqrt{5} \\ = 3 \sqrt{5} [/tex]

[tex] \sqrt{5} = 2.24 \\ \implies \: 3 \sqrt{5} = 3 \times 2.24 \\ = 6.72[/tex]

Answer:

[tex]3\sqrt{5}[/tex]

Step-by-step explanation:

45 = 9 * 5 = [tex]\sqrt{3 * 3 * 5}[/tex]

Marina correctly simplified the expression StartFraction negative 4 a Superscript negative 2 Baseline b Superscript 4 Baseline Over 8 a Superscript negative 6 Baseline b Superscript negative 3 Baseline EndFraction, assuming that a not-equals 0, b not-equals 0. Her simplified expression is below

Answers

Answer:

7

Step-by-step explanation:

We know that  x^a / x^b = x^ (a-b)

b^4 / b^ -3 = b^(4 - -3) = b^ (4+3) = b^7

The exponent for b is 7

Answer:

D

Step-by-step explanation:

Help me pleaseeeeeeeee

Answers

Get y by itself
6y= -3x-18
Divide by 6
Y= -3x/6 -18
Slope is -1/2.
Line perpendicular is 2/1 or 2

A student skipped a step when she tried to convert 18 hours into seconds, and she got the following incorrect result:

Answers

Answer:

She's, "HOT"!

Step-by-step explanation:

RSM HW PLEASE HELPPPPPPPPPPPPP ASAP

Answers

Answer:

congruent SAS

Step-by-step explanation:

We know two sides of the triangles are congruent to each other

MD = MT

and MA = MU

We also know that <DMA = < TMU

Two sides and the included angle

We can use SAS to show that the triangles are congruent

Answer

DM = MT (sides)

AM =MU ( sides)

<DMA = < TMU ( Angles)

So, DMA triangle is congruent to TMU triangle

According to SAS

Sohanlal is a gardener. He is paid ₹160 daily, find how much money will he
get in the month of September?

Answers

Answer:

Give some examples of source documents.

➢  Define an account. What are the two  forms of account posting illustrated in the chapter?➢  What is meant by the term double-entry procedure, or duality?

➢  Describe how you would determine the balance of a T-account.

➢  Define debit and credit.

➢  Do you think this double entry accounting system makes sense? Can you conceive of other possible methods for recording changes in accounts?

➢  Which of the steps in the accounting cycle are performed throughout the accounting period?

➢  What is the purpose of the Dividends account and how is it increased?

Enter an equation in point-slope form for the line.
(1,1) and (-8, 1) is on the line.
The equation of the line in point slope form is:

Answers

Answer:

y-1 = 0(x-1)

Step-by-step explanation:

Point slope form of a line is

y-y1 = m(x-x1)

where m is the slope and (x1,y1) is a point on the line

First find the slope

m = (y2-y1)/(x2-x1)

   = (1-1)/(-8-1)

    = 0/-9

     = 0

y-1 = 0(x-1)

y-1=0

Amy flips a coin and rolls a standard number cube. Find the probability that the coin will show heads and the cube will show one.
Write the probability as a fraction in the simplest form.

Answers

Answer:

1/12

Step-by-step explanation:

Mathematically, when a coin is flipped, we either get a head or a tail

These are equal probabilities of 1/2 each

So to show heads, we have a probability of 1/2

In a standard cube, there are 6 numbers (1-6)

now, we have only 1 one

the probability of it showing up would be 1/6

So the probability of both occurring would be the product

So we have this as;

1/6 * 1/2 = 1/12

If sin x = 5/13 and x is in quadrant 1, than tan x/2 = ___

Please give an explanation!

Answers

Answer:

if sin x = 5/13 and x is in quadrant 1,than tan x/2= -5

why e=mc2?why not e=mc3?​

Answers

Step-by-step explanation:

E = mc^2

E is Energy

M is Mass

C is Speed of light

This is Albert Einstein's General theory of relativity.

According to The principle of homogeneity,

E = mc^2 is dimensionally correct.

E = mc2 Explained. E = mc2. It's the world's most famous equation, but what does it really mean? "Energy equals mass times the speed of light squared." On the most basic level, the equation says that energy and mass (matter) are interchangeable; they are different forms of the same thing.

if you is equals to 1 2 3 4 5 6 7 8 9 10 and a is equal to 1267 b is equals to 2 3 5 6 and C is equals to 4 5 6 7 then verify that a union B complement is equal to a complement intersection b complement​

Answers

This should be the answer

need help with a p e x !!!

Answers

i think B is the right answer

Can someone help me with these two

Answers

Answer:

10. D. 1 / 216

11. B. - ( 8^0 )

Step-by-step explanation:

10.

6^5 x 6^-8

= 6^( 5 - 8 )

= 6^-3

= 1 / 6^3

= 1 / 216

11.

- ( 8^0 )

= - 1

- 1 < 0

the graph of g(x) shown below resembles the graph of f(x)=x^2 but it has changed which of these is the equation of G(x)

Answers

Answer:

B

Step-by-step explanation:

x² we start with this function

x²-3 moves the vertex down 3 units

(3/5) x² -3 make the parabola a bit more wide because 3/5 is between 0 and 1

Write the equation of a function whose parent function, f(x) = x + 5, is shifted 3 units to the right.

Answers

I believe the answer would be
f(x) = (x-3)^2 +5

Answer:

B .              g(x) = x + 8

Step-by-step explanation:

Write the equation of a function whose parent function, f(x) = x + 5, is shifted 3 units to the right.

g(x) = x + 3

g(x) = x + 8

g(x) = x − 8

g(x) = x + 2

Its B if this is what your test is on .

what is -6^2 equal to?

Answers

Answer:

-36

Step-by-step explanation:

If they asked (-6)^2 then it would be 36

Answer:

-36

Step-by-step explanation:

Normally, 6²=36 but because it is -6, multiply 6 by itself and add the negative sign.

Find the missing measure if a and b are the legs of the right triangle and c is the hypotenuse, with a = 11 and c =18.

Answers

Answer:

[tex]\sqrt{203}[/tex]

Step-by-step explanation:

1. [tex]11^{2} + b^{2} = 18^{2}[/tex]

2. [tex]b^{2} =203[/tex]

3. b = [tex]\sqrt{203}[/tex]

Can't be simplified.

Answer 16

Step-by-step explanation:

What is the height of the cylinder?

Answers

Answer:

h = 7 inches

Step-by-step explanation:

Solve 15 = 4(1.6)^x by graphing. Round to nearest hundredth.

Answers

Answer:

2.81

Step-by-step explanation:

[tex]4*1.6^x=15\\\\1.6^x=\dfrac{15}{4} \\\\x*ln (1.6)=ln (3.75)\\\\x=\dfrac{ln(3.75)}{ln(1.6)} \\\\x=2.81222475...\approx{2.81}[/tex]

Independent Practice


Use the vertical motion formula h = –16t2 + vt + c.


A soccer ball is kicked with a starting upward velocity of 50 ft/s from a starting height of 3.5 ft. Substitute the values into the vertical motion formula and let h = 0. Use the quadratic formula to solve for t. If no one touches the ball, how long is the ball in the air?


A.
0.1 s


B.
–0.1 s


C.
3.2 s


D.
1.1 s

Answers

Answer:    The answer is letter A.  0.1s...... I think

-16t^2 + 50t + 3.5= 0

Step-by-step explanation:  The answer is either letter A or letter B

Question

Use the vertical motion formula h=-16 t^{2}+v t+ch=−16t  

2

+vt+c. A soccer ball is kicked with a starting upward velocity of 50 ft/s from a starting height of 3.5 ft. Substitute the values into the vertical motion formula Let h = 0.

Explanation

Step 1

1 of 2

The starting velocity is 50 ft/s ,when the ball is 3.5 ft high

So, v=50v=50 , h=3.5h=3.5 , t=0t=0

\begin{align*} h&=-16t^2+vt+c &&\text{{\color{#c34632}The vertical motion formula}}\\\\ 3.5&=-16(0)^2+50(0)+c &&\text{{\color{#c34632}Substitute 3.5 for $h$ , 50 for $v$ , 0 for $t$}}\\\\ c&=3.5 &&\text{{\color{#c34632}Simplify}}\\\\ \end{align*}

h

3.5

c

 

=−16t  

2

+vt+c

=−16(0)  

2

+50(0)+c

=3.5

 

 

The vertical motion formula

Substitute 3.5 for h , 50 for v , 0 for t

Simplify

So, the vertical motion formula will be

h= -16t^2 + 50t + 3.5

Let h= 0

                                     -16t^2 + 50t + 3.5= 0

Answer:



Step-by-step explanation:

Solve for x.
42 - 5x = 4x + 15
x = [?]

Answers

Answer:

42-15=4x+5x

27=9x

27/9=x

x=3

Step-by-step explanation:

An automobile traveled 7 hours at an average
speed of 50 miles per hour. It averaged only 40
miles per hour on the return trip. The average
speed per hour, to the NEAREST mile, for the
round trip was
(A)46 miles per hour
(B) 44 miles per hour
(C)43 miles per hour
(D) 47 miles per hour

Answers

Answer:

(B) 44 miles per hour

Step-by-step explanation:

We are given that

Speed, v1=50 miles/hr

Time, t1=7 hours

Average speed, v2=40 miles/hr

We have to find the average  speed per hour for the  round trip .

Distance traveled by automobile from one side

d1=[tex]v_1t=50\times 7=350[/tex]miles

d1=d2=350 miles

Total distance=d1+d2=350+350=700 miles

Now,

[tex]t2=\frac{d_2}{v_2}=\frac{350}{40}=8.75 hour[/tex]

Total time=t1+t2=7+8.75=15.75 hours

Now, average speed for the round tripe

=[tex]\frac{total\;distance}{total\;time}[/tex]

=[tex]\frac{700}{15.75}=44.4\approx 44[/tex]miles/hr

Hence, option (B) is correct.

pls help asap
which of the following expresses the possible number of positive real solutions for the polynomial equation shown below?
5x^3+x^2+7x-28=0
a. one
b. two or zero
c. three or one
d. two

Answers

I think the Answer is option a.one

correct me if I am wrong

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