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vaieri [72.5K]
4 years ago
11

A wall map is 45 cm high and 27 cm wide. Ashley wants to proportionately shrink it so its height is 12 cm. How wide would it be

then?
Mathematics
1 answer:
defon4 years ago
8 0

Answer:

The wide would be 7.2 cm

Step-by-step explanation:

Let

x------> the wide of the proportional wall map

we know that

Using proportion

45/27=12/x

x=27*12/45

x=7.2 cm

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Determine if the sequence is arithmetic. If it is, find the common difference, the explicit formula, and the recursive formula.
sergey [27]

Answer:

see explanation

Step-by-step explanation:

Note there is a common difference d between consecutive terms, that is

d = 7 - (- 3) = 17 - 7 = 27 - 17 = 10

This indicates the sequence is arithmetic with n th term

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 3 and d = 10, thus

a_{n} = - 3 + 10(n - 1) = - 3 + 10n - 10 = 10n - 13 ← explicit formula

The recursive formula allows a term to be found by adding d to the previous term, thus

a_{n} = a_{n-1} + 10 ← recursive formula

3 0
4 years ago
Melissa has $100 in the bank. She plans to deposit $40 per week until she reaches $500. What is the rate of change? Explain what
Wewaii [24]

Answer:

$40 per week

Step-by-step explanation:

Step one:

Given data

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the total amount= $500

let the number of weeks be x

Step two:

The expression for the scenario is

500= 100+40x-------1

From the expression above, the rate of the change is $40 per week.

this means that in every week the account will be increased by $40

5 0
3 years ago
What is m<3 ? M<6 is and m<8 is (x+5
larisa [96]

Answer:

m∠3  = 115 degrees

Step-by-step explanation:

angle 6 and angle 8 are on a straight line

we know that sum of angles on straight line is 180

therefore

m∠8 = x+5

m∠6 +  m∠8 = 180

2x - 5 + x+5 = 180

=> 3x = 180

=> x = 180/3 = 60

Thus,

m∠6 = 2x-5 = 2*60 -  5 = 115

we know that for two parallel lines cut by a transversal

alternate opposite angles are equal

m∠6  and m∠3 are alternate opposite angles

thus

m∠6  = m∠3  = 115 (answer)

7 0
4 years ago
(SAT Prep) Find the value of x.
Delicious77 [7]

Answer: x=40°

Step-by-step explanation:

The two triangles are congruent (I think it’s called the interior angle proof) so the bottom right angle is also 65°. All angles in a Triangle equal 180°, so 180-(75+65)=40

3 0
3 years ago
Read 2 more answers
How do u subtract (3x+5y-4)_(4×+11)
AleksAgata [21]
Distribute the negative sign to the 4x and 11 making it 3x+5y-4-4x-11 and combine like terms 
5 0
4 years ago
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