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3 years ago

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If Dominik completes a project by himself, it will take him 8 hours. Working with Katarina, it will take them 5 hours. If they w

ork together, what is the missing value from the table that represents the part of the project Dominik will complete? 8r 8(5) r (5)

1 answer:

Sergeeva-Olga [200]3 years ago

3 0

<em>Hello soldier!! The answer is D! Have a great day <3</em>

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Two friends are collecting cards. Frank has 7 more than half the number of cards as his friend. Together they have 42 cards. How

Naddika [18.5K]

Answer:

The number of cards Frank has is 18 and the number of cards his friend has is 24.

Step-by-step explanation:

<u><em>The correct question is </em></u>

Two friends are collecting cards. Frank has 6 more than half the number of cards as his friend. Together they have 42 cards. How many cards does each friend have?

Let

x ----> the number of cards that Frank has

y ----> the number of cards that his friend has

we know that

Together they have 42 cards

$x+y=42$ ----> equation A

Frank has 6 more than half the number of cards as his friend

$x=\frac{y}{2} +6$ ---> equation B

Solve the system by substitution

Substitute equation B in equation A

$\frac{y}{2} +6+y=42$

solve for y

$\frac{3}{2}y=42-6\\\\\frac{3}{2}y=36\\\\y=36(2)/3=24$

<em>Find the value of x</em>

$x=\frac{24}{2} +6=18$

therefore

The number of cards Frank has is 18 and the number of cards his friend has is 24.

7 0

3 years ago

The angle of elevation to the top of a skyscraper is measured to be 2° from a point on the ground 1 mile from the building. How

Nadusha1986 [10]

See picture below for a geometric view.

Let x = height of building

We use basic trigonometry to find x.

The tangent function = opposite side of right triangle OVER adjacent side of right triangle.

tan(2°) = x/1

Solve for x.

After multiplying both sides by 1 (here 1 represents 1 mile), we get

tan(2°) = x.

We now use the calculator to find x.

In fact, you can take it from here. Use your calculator.

3 0

3 years ago

the local high school has 19 honored students for every 81 non-honored students if there are 750 students in the school how many

aliina [53]

I got 176 I sad 750÷19 = 176

4 0

3 years ago

meriva

Question:

In a neighbourhood pet show, each of the animals entered is equally likely to win. if there are 7 dogs, 6 cats, 3 birds, and 2 gerbils entered, what is the probability that a bird will win the top prize?

Answer:

Probability that a bird will win the top prize is 0.167

Step-by-step explanation:

Given:

The number of dogs = 7

The number of cats = 6

The number of birds = 3

The number of gerbils = 2

To Find:

Probability that a bird will win the top prize = ?

Solution:

Let us first find the total number of pets .

The Total number of pets = 7 + 6 + 3 + 2 = 18

Now the probability of a bird will win the top prize is

=> $\frac{\text {Number of birds}}{\text{ Total number of pets}}$

=> $\frac{3}{18}$

=> $\frac{1}{6}$

=>0.167

4 0

3 years ago

Help plz<br>6(2x - 11) + 15 = 3x + 12

Ket [755]

Answer:

x = 7

Step-by-step explanation:

Lets do the brackets first,

6 × 2x = 12

6 × -11 = -66

------

Calculate the x constant:

12x - 3x = 9x

-------

Then the ones with no x:

-66 + 15 = -51

51 + 12 = 63

-------

Lastly, divide

63 ÷ 9 = 7

-------

Have a good day :)

3 0

2 years ago

Read 2 more answers