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solong [7]
3 years ago
10

in a toy store the ratio of the number of dolls to the number of teddy bears is 6:5 if the store have 240 dolls how many teddy b

ears are in the store
Mathematics
2 answers:
kotegsom [21]3 years ago
7 0

Answer:

200 teddy bears

Step-by-step explanation:

dolls (6) and teddy bears (5)

6: 5

240: 200

5 x 240= 1200

1200/ 6= 200

Answer: 200 teddy bears

Novay_Z [31]3 years ago
6 0
240/6 = 40

So now we now that the ratio was multiplied by 40.

5(40) = 200

There are 200 teddy bears in the store.
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Raul bought a total of 34 more games than Albert. Together they downloaded 220 songs. How many songs did each download?
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Answer:

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Step-by-step explanation:

5 0
2 years ago
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Let $P$ and $Q$ be constants. The graphs of the lines $x + 5y = 7$ and $15x + Py = Q$ are perpendicular and intersect at the poi
Marta_Voda [28]

Answer:

<em>(-3, -129)</em>

<em></em>

Step-by-step explanation:

Given

Two lines:

$x + 5y = 7$

$15x + Py = Q$

are perpendicular to each other and intersect at point (-8,3).

To find: (P, Q)

Solution:

The two lines intersect at (-8,3).

It means, the equation of line will be satisfied when we put value of x = -8 and y = 3

Putting in the second equation, we will get an equation in P and Q:

15\times (-8) + P \times 3 = Q\\\Rightarrow 3P = Q +120 ..... (1)

Given that two lines are perpendicular.

It means the product of their slopes will be equal to -1.

i.e. m_1\times m_2=-1

Slope of a line of the form ax+by+c=0 is given as:

m=-\dfrac{a}{b}

So, slopes of given lines are:

m_1=-\dfrac{1}{5}\\m_2=-\dfrac{15}{P}

Using the condition:

-\dfrac{1}{5}\times \dfrac{-15}{P}=-1\\\Rightarrow P = -3

Putting the value of P in equation (1):

\Rightarrow 3\times (-3) = Q +120 \\\Rightarrow Q = -9-120 = -129

So, answer is <em>(-3, -129)</em>

7 0
3 years ago
A cyclist travels 5.8 km in 30 minutes. <br> What is his average speed in km/h?
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Answer:

11.6km/h

Step-by-step explanation:

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4 0
3 years ago
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The price of a company's share dropped by 3.50% by the end of the first year, down to $44.25. During the second year the price o
omeli [17]

Answer:

a. $45.86

b. $43.87

c. Percentage change = -4.40%)

Step-by-step explanation:

a. Let the price of share at the beginning of first year be represented with X

Now, Price of company's share dropped by 3.50% at the end of first year.

So, Price of share at the end of first year = x - 3.5% of x

= x - 0.035x

= 1x - 0.035x

= 0.965x

But it is equal to $44.25

=> 0.965x = 44.25

x = 44.25 / 0.965  

x = 45.8549223

x = $45.86

b. During second year price of share decreased by $1.99. Therefore, Price of share at the end of second year = $45.86 - $1.99  = $43.87

c. Percentage change in the price of shares over two years = {(45.86 - 43.87)/45.86} *100

= (1.99/45.86)*100

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= 4.40%

Now, as price of shares has dropped, the percentage change will be negative. (Δ% = -4.40%)

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3 years ago
The table shows the results of a survey of college students. Find the probability that a student’s first class of the day is a h
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Answer is B..............:)
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