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Grace [21]
3 years ago
6

Write each expression in simplest form 1. 5x+4+9x, 2. 2+3d+d, 3. -3r+7-^-3r-^-12

Mathematics
1 answer:
Finger [1]3 years ago
4 0

1.  14x+4

2.  2+4d

3. not sure what the question wants..not understanding 7-^-3r

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Hi:) I need help with part 9(ii) ? Thanks :)!
Goshia [24]

Answer:

see explanation

Step-by-step explanation:

Given

2BD = 7BT , then

2(d - b ) = 7(t - b) ← distribute both sides

2d - 2b = 7t - 7b ( add 7b to both sides )

2d + 5b = 7t, thus

2\left[\begin{array}{ccc}10.5\\10\\\end{array}\right] + 5\left[\begin{array}{ccc}0\\3\\\end{array}\right] = 7t

\left[\begin{array}{ccc}21\\20\\\end{array}\right] + \left[\begin{array}{ccc}0\\15\\\end{array}\right] = 7t

\left[\begin{array}{ccc}21\\35\\\end{array}\right] = 7t , thus

t = \frac{1}{7}\left[\begin{array}{ccc}21\\35\\\end{array}\right] = \left[\begin{array}{ccc}3\\5\\\end{array}\right]

Hence T = (3, 5 )

8 0
2 years ago
Read 2 more answers
A series contains 18 numbers and has a sum of 4,185. The last number of the series is 275. What is the first number?
N76 [4]
If the series is made up of numbers in an arithmetic progression, you have

\displaystyle\sum_{n=1}^{18}a_n=\sum_{n=1}^{18}(a_1+(n-1)d)=18a_1+153d=4185

where a_1 is the first term and d is the common difference between terms.

Since the last term in the series is a_{18}=275, you have

a_{18}=a_1+(18-1)d\implies a_1+17d=275

Solve the system

\begin{cases}18a_1+153d=4185\\a_1+17d=275\end{cases}

and you'll find that the first term is a_1=190 (with d=5).
5 0
3 years ago
Two grapefruits and three oranges cost $1.95. Three grapefruits and two oranges cost $2.05.
geniusboy [140]

Answer:

  • one orange costs $0.35  and  one grapefruit costs $0.45

Step-by-step explanation:

<em>let grapefruits be g , let oranges be o</em>

so first equation:

→2g + 3o  = $1.95

→g = ($1.95 - 3o)/2

so second equation:

→ 3g + 2o = $2.05

→ g = ($2.05 - 2o)/3

Solving simultaneously:

→ ($2.05 - 2o)/3 = ($1.95 - 3o)/2

→ 2($2.05 - 2o) = 3($1.95 - 3o)

→ 4.1 - 4o = 5.85 - 9o

→ - 4o + 9o = 5.85 - 4.1

→ 5o = 1.75

→ o = $0.35

Therefore one orange costs $0.35

Then one grapefruit costs g → ($1.95 - 3o)/2

                                               → g = ($1.95 - 3(0.35))/2

                                               → g = 0.45

Therefore one grapefruit costs $0.45

4 0
2 years ago
Find the distance between the points (1,3) and (5,0).
Irina18 [472]

distance between two points is [(x2-x1)^2 +(y2-y1)^2]^1/2

I.e,[{5-1)^2+(0-3)^2]^1/2

[16+9]^1/2

[25]^1/2

5

5 0
2 years ago
When a number is added to 1/5 of itself, the result is 24. The equation that models this problem is n + 1/5n = 24. What is the v
Zielflug [23.3K]
The answer is 20 since 1/5 of 20 is 4, and 20 + 4 = 24.
7 0
3 years ago
Read 2 more answers
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