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Amiraneli [1.4K]
3 years ago
9

Olivia and Isabella each earn d dollars for each dog she walks. One day, Olivia walks 6 dogs and gets $8 in tips. That same day,

Isabella walks 9 dogs and gets $12 in tips.
a. Olivia writes 6d + 8 + 9d + 12 to represent the amount
they earn together. Isabella writes 5(3d + 4). Are their
expressions equivalent? Show your work.
Mathematics
1 answer:
marissa [1.9K]3 years ago
8 0

Answer:

Yes they are equivalent, both equations equals 15d+20

Step-by-step explanation:

We first simplify Olivia's equation

6d + 8 + 9d + 12

1. we combine like terms in the equation: 6d + 8 + 9d + 12

6d+9d

8+12

15d+20

Now we simplify Isabella's

5(3d + 4)

1. we do distributive property

5*3d

5*4

15d+20

If you have any quesitons feel free to ask

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a savings account receives 12% simple interest p.a. how long would it take for £30000 to gain £28800 in interest
Elis [28]

Answer:

<h2>8 years</h2>

Step-by-step explanation:

Given,

Principal (P) = £ 30000

Simple Interest ( I ) = £ 28800

Rate (R) = 12%

Time (t) = ?

Now,

t =  \frac{i \times 100}{p \:  \times  \: r}

=  \frac{28800 \times 100}{30000 \times 12}

=  \frac{2880000}{360000}

= 8 \: years

Hence, It would take 8 years.

Hope this helps...

Good luck on your assignment...

5 0
3 years ago
I need help on this question
NISA [10]
The correct answer should be C to this question
4 0
3 years ago
Read 2 more answers
H(x) = x3 - 2x<br> g(x) = 3x<br> Find (h – g)(x)
lord [1]

Answer:

x³ - 5x

Step-by-step explanation:

note (h - g)(x) = h(x) - g(x), thus

h(x) - g(x)

= x³ - 2x - 3x ← collect like terms

= x³ - 5x

4 0
3 years ago
Which of the following must be true about p?
Rainbow [258]

9514 1404 393

Answer:

  B, C, F, H

Step-by-step explanation:

When the function has end behavior that goes to opposite infinities, the degree must be odd, as here.

When the function goes to infinity with the same sign as the variable, then the leading coefficient must be positive, as here.

When the function crosses the y-axis at a negative value, the constant must be negative, as here.

When the function crosses the x-axis at a zero, the zero must have odd multiplicity, as for the zero x=1 here.

Choices B, C, F, H apply.

8 0
3 years ago
Finish this question fast
umka21 [38]

Answer:

B. -3d + 47.25

Step-by-step explanation:

Each of them has $15.75

Each spent $d

Amount each still has = 15.75 - d

Therefore, total amount the 3 of them has = 3(15.75 - d) = 3*15.75 - 3*d

= 47.25 - 3d

Which is also am equivalent of -3d + 47.25

4 0
3 years ago
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