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DochEvi [55]
3 years ago
6

Solve the following problem algebraically: 15 = n/5.

Mathematics
1 answer:
tatyana61 [14]3 years ago
4 0

Answer:

The solution of the problem algebraically is n=5.      

Step-by-step explanation:

Given : Problem - 15=\frac{n}{5}

To find : Solve the following problem algebraically ?

Solution :

We have given equation,

15=\frac{n}{5}

Multiplying 5 both side,

15\times 5=\frac{n}{5}\times 5

75=n

Therefore, The solution of the problem algebraically is n=5.

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Weiming, Joyce and Siti divide cookies to sell in a ratio of 5: 12: 9. After Weiming sold 28 cookies, the ratio becomes 1: 8: 6.
Strike441 [17]

Answer:

216 cookies

Step-by-step explanation:

From the question,

Let the total cookies in the first place be x cookies.

Their ratio = 5:12:9

Total  = 5+12+9 = 26.

Weiming share = (5/26)x = 5x/26

If weiming sold 28 cookies

⇒ (5x/26)-28

⇒ (5x-728)/28

Hence Weiming new share = (5x-728)/28 cookies

The new ratio is 1:8:6

The total cookies becomes = x-28

Therefore,

(1/15)(x-28) = (5x-728)/28

(x-28)/15 = (5x-728)/28

Crossmultiply

28(x-28) = 15(5x-728)

28x-784 = 75x-10920

Collect like terms

28x-75x = -10920+784

-47x = -10136

x = -10136/-47

x = 215.7

x ≈ 216 cookies

8 0
3 years ago
Carlos needs 1.7 meters of wire for one project and 0.8 meters of wire for another project shade the model to represent the tota
vesna_86 [32]

Answer:

Step-by-step explanation:

Given that ;

Carlos needs 1.7 meters of wire for one project    &

0.8 meters of wire for another project

we are to shade the model to represent the total amount of wire Carlos needs .

NOW;

For both projects ; Carlos needs ( 1.7 + 0.8) meters of wire =  2.5 meters of wire

In  the  attached files below. the first picture shows the diagram attached to the question and the second one shows the shading of the model which represent the total amount of wire Carlos needs.

7 0
3 years ago
Identify the translation of the figure with the vertices P(−4,−5), L(1,−7), and K(−9,8), along the vector <−6, 3>.
jarptica [38.1K]

Answer:

P ′(−10, −2), L ′(−5, −4), K ′(−15, 11)

Step-by-step explanation:

The translation vector, ⟨−6,3⟩, can be used to derive a rule for the translation of the coordinates: (x,y)→(x−6,y+3).

Apply the rule to translate each of the three preimage vertices to the image vertices.

P(−4,−5)→P'(−10,−2)

L(1,−7)→L'(−5,−4)

K(−9,8)→K'(−15,11)

Therefore, P'(−10,−2), L'(−5,−4), N'(−15,11) is the translation of the figure with the vertices P(−4,−5), L(1,−7), and K(−9,8), along the vector ⟨−6,3⟩.

4 0
2 years ago
Read 2 more answers
PLEASE HELP!!<br>Write an inequality, in slope-intercept form, for the graph below. ​
Bond [772]

Ok, so we know one point is (4,2) and the other is (-4, 0)

Slope: -2/-8 = 1/4

y ? 1/4x + b

0 = -1 + b

b = 1

y < 1/4x + 1

5 0
4 years ago
Show your work:<br><br> Express 160 pounds (lbs) in kilograms (kg). Round to the nearest hundredths.
andrew-mc [135]

Answer:

160 lbs = 72.57kg

Step-by-step explanation:

This can be solved as a rule of three problem.

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease.

Unit conversion problems, like this one, is an example of a direct relationship between measures.

Each lb has 0.45kg. How many kg are there in 160lbs. So:

1lb - 0.45kg

160 lbs - xkg

x = 0.45*160

x = 72.57 kg

160 lbs = 72.57kg

4 0
3 years ago
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