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Natalija [7]
4 years ago
7

2. A supermarket display consists of boxes of cereal. The bottom row has 27 boxes. Each row has four fewer boxes than the row be

low it. The display has six rows.
(a) Write and use a function to determine how many boxes are in the top row.
(b) Use the appropriate formula to determine the number of boxes in the entire display.
Mathematics
1 answer:
tresset_1 [31]4 years ago
4 0

Answer:

Step-by-step explanation:

) Nth term = F + (N - 1) x D, where F=First term, N=Number of terms, D=Common difference

6th row = 23 + (6 - 1) x -3

            = 23 + (5) x -3

            = 23 + (-15)

            = 8 - number of boxes in the top row.

 

b) Sum = N/2[2F + (N - 1) x D]

            = 6/2[2*23 + (6 - 1) x -3]

             = 3  [46  +    (5) x -3 ]

             = 3  [46  +      -15 ]

             = 3  [ 31 ]

             = 93 - total number of boxes in the entire display.

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Penelope made note of all the bicycles and cars she could see parked or locked on acertain city block. All the cars had exactly
lesantik [10]

Given:

The number of cycles is, <em>n</em> (s) = 7.

The number of wheels in the cycle is, <em>n </em>(sw) = 2.

The number of cars is, <em>n</em> (c) = 15.

The number of wheels in the car is, <em>n</em> (cw) = 4.

The obective is to find the total number of wheels.

The total number of wheels is,

\begin{gathered} T=n(sw)\cdot n(s)+n(cw)\cdot n(c) \\ =2\cdot7+4\cdot15 \\ =14+60 \\ =74\text{ whe}els \end{gathered}

Hence, there are 74 wheels in the block.

If there are <em>x</em> bicycles and <em>y </em>cars, the equatioin will be,

\begin{gathered} T=n(sw)\cdot x+n(ce)\cdot15 \\ T=2x+4x \end{gathered}

Hence, the number of wheels for x bicycles and y cars is 2x+4x.

6 0
1 year ago
(answer fast please, thanks!)
Pachacha [2.7K]

Answer:

$19 for one package of oatmeal cookie dough and $14 for one package of chocolate chip cookie dough

Step-by-step explanation:

We need to set up two equations: one that shows how much money Mike made and one that shows how much money Shawna made.  

Let's make a = price for one chocolate chip cookie dough and b = price for one oatmeal cookie dough.

First equation for Mike: 12a + 3b = 225

Second equation for Shawna: 6a + 11b = 293

Next we isolate b from Mike's equation: b = 75 - 4a

Then we plug this equation into Shawna's equation and we get:

6a + 11(75 - 4a) = 293

Solving for a would get us 14, or $14 for one chocolate chip cookie dough.

If we plug 14 = a into Mike's original equation and solve for b, we get b = 19, or $19 for one oatmeal cookie dough.

Hope this helped!

5 0
3 years ago
One number is 10 less than 5 times the second number. Their sum is 26. Find the numbers.
GREYUIT [131]

Answer:

Step-by-step explanation:

a = 5b-10

a+b = 26

(5b-10)+b = 26

b = 6

a= 5b + 10 = 40

8 0
3 years ago
Read 2 more answers
Write a subtraction sentence using integers.than,write the equivalent addition sentence and explain how to find the sum.please h
nata0808 [166]

Answer:

First option: 10 - (1) = 9

Second option: 10 - 5 + 4 = 5 + 4 = 9

Step-by-step explanation:

(10 -5) -4 = 5 - 4 = 1

Equivalent equation: 10 - 5 - 4 = 1

10 - (5-4) = there would be 2 ways to do this, you can either solve the equation in the bracket first or break it out. Because the sign before the bracket is minus so when you break it out, the minus sign in the bracket would become -- or equal to +

First option: 10 - (1) = 9

Second option: 10 - 5 + 4 = 5 + 4 = 9

Hope this help you:3

6 0
3 years ago
Need an answer asap please show work
lina2011 [118]

Answer:

Refer to the picture above

5 0
3 years ago
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