а (b) Two ovens are used to bake banana cakes and chocolate cakes. Each oven will ding according to its setting time. A banana cake takes 50 minutes to bake wbile a chocolate cake takes 45 minutes to bake.
(i) If each cake is put into the ovens at the same time, what is the time taken until both ovens ding simultaneously?

(ii) When the both ovens ding, how many banana cakes and chocolate cakes are baked? ​

By taking in mind the number of combinations of 4 out of the 7 dishes, and the possible orders of these 4 dishes, we will find that there are 840 unique ways to arrange 4 of the 7 dishes.

We know that if we have a set of N elements, the total number of different combinations of K elements (K ≤ N) out of the N elements is given by:

[tex]C(N, K) = \frac{N!}{(N - K)!*K!}[/tex]

In this particular case, we have:

Then the number of different combinations is given by:

[tex]C(7, 4) = \frac{7!}{(7 - 4)!*4!} = \frac{7*6*5}{3*2} = 35[/tex]

Now we have 4 dishes selected, but we also need to order them.

The number of different arrangements of the dishes is given by the product between the numbers of options above, this gives:

4*3*2*1 = 24

Then the total number of unique ways of arranging 4 of the 7 dishes is:

C = 24*35 = 840

Where we take in mind the possible number of combinations of 4 out of the 7 dishes, and the possible orders of these 4 dishes.

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Answer:

8

Step-by-step explanation:

cus...

Answer:

Answer:

C

Step-by-step explanation:

Remember when using the inequality sign < or > the line will be dotted so we can immediately eliminate answer choices b and d

Now let us solve for y

6x-2y>-11

step 1 subtract each side by 6x

now we have

-2y>-11-6x

step 2 divide each side by -2

-11-/2=11/2

-6/-2=3

IMPORTANT -when you divide inequalities by a negative number you flip the inequality sign

So now we have

See image below for reference

When the inequality is facing x the solutions are going to be on top of the line

hope this helps!

Step-by-step explanation:

Answer:

Because they are both base angles of isosceles triangles

[tex]6x^2-x=2\implies 6x^2-1x-2=0 \\\\[-0.35em] ~\dotfill\\\\ ~~~~~~~~~~~~\textit{quadratic formula} \\\\ \stackrel{\stackrel{a}{\downarrow }}{6}x^2\stackrel{\stackrel{b}{\downarrow }}{-1}x\stackrel{\stackrel{c}{\downarrow }}{-2}=0 \qquad \qquad x= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a}[/tex]

[tex]x = \cfrac{ -(-1) \pm \sqrt { (-1)^2 -4(6)(-2)}}{2(6)}\implies x = \cfrac{1\pm\sqrt{1+48}}{12} \\\\\\ x = \cfrac{1\pm\sqrt{49}}{12}\implies x = \cfrac{1\pm 7}{12}\implies x = \begin{cases} \frac{8}{12}\to &\frac{2}{3}\\[1em] -\frac{6}{12}\to &-\frac{1}{2} \end{cases}[/tex]

Answer:

Even

Step-by-step explanation:

When two even numbers are added there will be an even result. To check this adding 2156 and 992 gets 3148 which is an even number.

A) Andrea will need to borrow $34,000 to buy the Camaro

B) Andrea will need to type =(34000x1.03 ^ 5) / 60 in Excel to figure her monthly payment, which will be $656,92.

C) The total of all of Andrea’s payments be over the lifetime of the car loan will be $39.415,31

D) Andrea will pay $5415.31 in interest over the lifetime of the car loan

Since Andrea's car has broken down for the third time this month, and she has decided to buy a different car, and her dream car, a 2016 Chevrolet Camaro, costs $ 38,000, and she has a $ 4,000 down payment saved, and the bank is offering 3.00% APR on 60 month loans for new cars, to determine A) how much will Andrea need to borrow to buy the Camaro; B) what would Andrea need to type in Excel to figure her monthly payment from her, and what will her her monthly payment be from her; C) what will the total of all of Andrea’s payments be over the lifetime of the car loan; and D) how much will Andrea pay in interest over the lifetime of the car loan, the following calculations must be performed:

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Answer:

x = 6 2/3     The supplementary pair of angle is 78 degree and z = 112degree  = 180 degree  First step is where we can also see z its opposite angle is vertical opposite angle to 112 degree given and label as vertical angle - where we see a line through the 180 degree line at any angle we can call the pair supplementary-   Pairs OR sets of angles an only be called consecutive when they are grouped with a set of parallel line across a straight line and it is only because they add up to 180 they could be either terms so as there isn't parallel shown ; we know we an call a pair of angles upon a straight line supplementary.angles.

Step-by-step explanation:

6 x +38 (+112) = 180 degree as angles on a straight line add up to 180   6 x +38 (+112) = 180    6 x +140 = 180  6 x + 140- 140 = 180-140      6 x  = 40   x = 40/6  x = 6.66666667    x = 6 2/3   Proof  (6( 6 2/3)) + 38 + 112 = 180     = (40+38)+112 = 180 = 78 +112 = 180   Proves the supplementary angle is 78 degree.

Answer:

the answer is  9x

Step-by-step explanation:

y=9x is the relationship between the number of round trips, x, and the total number of kilometers Elizabeth has biked, y.

Two or more expressions with an Equal sign is called as Equation.

Given that,

Elizabeth recently bought a new bike, and she has started biking to and from work.

The round-trip distance is 9 kilometers.

We need to find an equation that shows the relationship between the number of round trips, x, and the total number of kilometers Elizabeth has biked, y.

y=9x

Hence y=9x is the relationship between the number of round trips, x, and the total number of kilometers Elizabeth has biked, y.

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[tex]\begin{array}{ccll} \$&km\\ \cline{1-2} 32&14\frac{2}{9}\\[1em] x&1 \end{array}\implies \cfrac{32}{x}=\cfrac{14\frac{2}{9}}{1}\implies \cfrac{32}{x}=14\frac{2}{9}\implies \cfrac{32}{x}=\cfrac{14\cdot 9+2}{9} \\\\\\ \cfrac{32}{x}=\cfrac{128}{9}\implies 288=128x\implies \cfrac{288}{128}=x\implies \stackrel{~\hfill \textit{2 bucks and 25 cents}}{\cfrac{9}{4}=x\implies 2\frac{1}{4}}=x[/tex]

[tex]\sin \theta -1 =0\\\\\ \implies \sin \theta = 1\\\\ \implies \theta = \dfrac{\pi}2 + 2\pi n\\\\\text{For n =0,}\\\\\theta = \dfrac{\pi}2[/tex]

Answer:

Hundreds : 1

Tens : 6

Ones : 2

.

Tenths : 8

Hundredths : 9

Thousandths : 1

Answer:

8/90

Step-by-step explanation:

hope this helps

Answer:

It's 38/45

Step-by-step explanation:

I don't really have a step-by-step explanation. I just looked it up! ;) good luck

Answer:

8 words per min

Step-by-step explanation:

Answer:

7 4/5

Step-by-step explanation:

when you subtract, keep the first value then change subtract to addition and, finally, change the sign of the second value

this problem, 7 1/5 -(-3/5) is the same as this addition problem:

7 1/5 + 3/5

this equals 7 4/5

Answer:

Number of rotations: 5

Slope: 1/2

Step-by-step explanation:

Answer: why did you ask twice for the same problem

Step-by-step explanation:

Answer:

Step-by-step explanation:

Using the binomial distribution, it is found that there is a 0.81 = 81% probability that NEITHER customer is selected to receive a coupon.

For each customer, there are only two possible outcomes, either they receive the coupon, or they do not. The probability of a customer receiving the coupon is independent of any other customer, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

0.81 = 81% probability that NEITHER customer is selected to receive a coupon.

Answer:

B) [tex]-\frac{a}{-b}[/tex]

Step-by-step explanation:

The value [tex]-\frac{-a}{b}[/tex] is the same as [tex]\frac{a}{b}[/tex] since the negatives cancel out to make a positive.

Option A is incorrect since the overall value of the term would be negative. Option B however is correct since there will not be a negative value in the denominator of a fraction and thus it cancels out with the negative in front of the fraction to produce the value of [tex]\frac{a}{b}[/tex] which is the same as the expression given in the question, thus it is option B.

3 Years

Compound interest is a multiplier that affects the new value each time.

If the compound interest is 10% per annum, the multiplier each year is 1.1.

Year 1: $1000 * 1.1 = $1100

Year 2: $1100* 1.1 = $1210

Year 3: $1210* 1.1 = $1331

This means that it will take 3 years for $1000 to amount to $1331 at 10% per annum.

Alternatively, you can use a logarithm. The calculation can be written as:

1000 * [tex]1.1^n[/tex] = 1331, where n is the number of years.

Rearranged, this gives [tex]1.1^n[/tex] = 1331/1000 or [tex]1.1^n[/tex] = 1.331.

A logarithm can work out the value of n, and is written in the form log1.1(1.331), which gives a value of 3.

Answer:

Option A

Step-by-step explanation:

-(12 x 2) x (-6) = -12 x (2 x b)

=> -24 x -6 = -12 x 2b

=> 144 = -24b

=> b = -6

Hoped this helped.

Answer:

Step-by-step explanation:

? i cant see what the page is

Answer:

1.28 - amount

Step-by-step explanation:

You would multiply 32 times 0.04 and get 1.28 which I assume would be an amount.

The amount of 4% of 32 is 1.28.

We have to determine what is 4% of 32.

This free percentage calculator computes a number of values involving percentages, including the percentage difference between two given values.

Suppose it is an x percent.

Therefore x multiply 32 times 0.04 and get 1.28 an amount.

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Answer:

2-2=0

Step-by-step explanation:

You have 2 cookies and you give it to 2 friends.

Answer:

0

Step-by-step explanation:

According to the Laws of Physics, yeah I don't wanna try explaining this

9514 1404 393

Answer:

Step-by-step explanation:

The annual depreciation is the predicted change in value each year. The change in value for 6 years is predicted to be ...

  $140,000 -20,000 = $120,000 . . . . loss of value in 6 years

3 months is 1/4 of one year, so the loss of value in that time period is ...

  $120,000/6 × 1/4 = $5000

The depreciation expense for the last 3 months of the first year is $5000.

__

The depreciation expense for the second year is ...

  $120,000/6 = $20,000

Answer:

B

Step-by-step explanation:

If you go to -4, 0 the line intersects that point

Answer:

integers are always rational. They don't include decimals

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

All integers are rational numbers, since they can be expressed as a ratio (fraction) with a denominator of 1.

Answer:

4(11+8+28)

Step-by-step explanation:

44 + 32 + 112

4(11+8+28)

I found the GCF of all three numbers.

Hope this helps :)