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3 years ago

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Carl and rita at breakfast at the local diner. Their bill came to $11.48. They gave their waitress a tip that wad 25% of the bil

l. How much money did they give the waitress for her tip?

1 answer:

WINSTONCH [101]3 years ago

4 0

Answer:

(11.48*25%)+11.48

Step-by-step explanation:

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Dexter was asked to mix the punch for his sister’s birthday party. He has to figure out how much water and pure concentrate to a

Zigmanuir [339]

Answer:

6 liters

Step-by-step explanation:

Let x represent the amount of pure concentrate used to make the punch. Then the total amount of concentrate in the punch is ...

0.20·10 +1.00x = 0.50(10+x)

x +2 = 0.5x +5 . . . . . eliminate parentheses

0.5x = 3 . . . . . . . . . . .subtract 2+0.5x

x = 6 . . . . . . . . . . . . . multiply by 2

6 liters of pure concentrate must be added to make a 50% punch.

5 0

3 years ago

Use sigma notation to represent the sum of the first seven terms of the following sequence -4,-6,-8.....

lina2011 [118]

Answer:Answer:

$\sum\left {{7} \atop {1}} \right -n(3+n)$

Step-by-step explanation:

Given the sequence -4,-6,-8..., in order to get sigma notation to represent the sum of the first seven terms of the sequence, we need to first calculate the sum of the first seven terms of the sequence as shown;

The sum of an arithmetic series is expressed as $S_n = \frac{n}{2}[2a+(n-1)d]$

n is the number of terms

a is the first term of the sequence

d is the common difference

Given parameters

n = 7, a = -4 and d = -6-(-4) = -8-(-6) = -2

Required

Sum of the first seven terms of the sequence

$S_7 = \frac{7}{2}[2(-4)+(7-1)(-2)]\\\\S_7 = \frac{7}{2}[-8+(6)(-2)]\\\\S_7 = \frac{7}{2}[-8-12]\\\\\\S_7 = \frac{7}{2} * -20\\\\S_7 = -70$

The sum of the nth term of the sequence will be;

$S_n = \frac{n}{2}[2(-4)+(n-1)(-2)]\\\\S_n = \frac{n}{2}[-8+(-2n+2)]\\\\S_n = \frac{n}{2}[-6-2n]\\\\S_n = \frac{-6n}{2} - \frac{2n^2}{2}\\S_n = -3n-n^2\\\\S_n = -n(3+n)$

The sigma notation will be expressed as $\sum\left {{7} \atop {1}} \right -n(3+n)$ . <em>The limit ranges from 1 to 7 since we are to find the sum of the first seven terms of the series.</em>

3 0

3 years ago

Rewrite the set T = { 5a + 2b; a,b belong Z} as a list of its elements

Mamont248 [21]

Answer:

T={...,-3,-2,-1,0,1,2,3,4,....}

Step-by-step explanation:

We are given that T={5a+2b; a,b belongs Z}

We have to rewrite the given set T as a list of its elements

Substitute a=0 and b=0

Then we get 5(0)+2(0)=0

Substitute a=-1 and b=2 then we get

5(-1)+2(2)=-1

Substitute a=2 and b=0

Then , 5(2)+2(0)=10

If a=0 and b=1

Then, 5(0)+2(1)=2

Substitute a=0 and b=2

Then, 5(0)+2(2)=4

If substitute a=1 and b=1

5(1)+2(1)=7

If substitute a=-1 and b=3

Then, we get 5(-1)+2(3)=1

Then, T={...,-3,-2,-1,0,1,2,3,4,....}

7 0

3 years ago

A recipe for coffe cake calls for 8 cups of instant coffe. Convert this to milliliters

lyudmila [28]

Answer:

you need to use volume conversions for example like the metric system i had to use not to long ago use the common cooking conversion (its a conversion)

Step-by-step explanation:

6 0

3 years ago

If h(x)=1/4x^4-3x^3, find h(4) PLEASE HELP MEEEEEEE

Monica [59]

Step-by-step explanation:

h(x)=1/4x⁴-3x³

By replacing x with 4, we get

h(4)=1/4×4⁴-3×4³
h(4)=1/4×256-3×64
h(4)=64-192
h(4)=-128

5 0

2 years ago

Read 2 more answers