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3 years ago

Problem Luke can paint 91portraits in 7 weeks. How many portraits can Luke paint in 4 weeks?

Mathematics

2 answers:

jonny [76]3 years ago

7 0

Divide 91÷7 = 13. 13 is how much in one week. So 13× 4 = 52
52 portrait

ludmilkaskok [199]3 years ago

3 0

91 divided by 7 = 13
4 times 13 equals 52
52 portraits

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Jill has a collection of bugs. Her collection contains butterflies and tarantulas. She has 47 bugs and counts 320 total legs. (N

prisoha [69]

Answer:

The solution to this system of equations is:

B = 28
T = 19

Step-by-step explanation:

We are given that Jill has 47 bugs and counts a total 320 legs.

We can concur that by adding the total number of butterflies and the total number of tarantulas, we will get 47 bugs.

$\text{tarantulas + butterflies} = 47$

We are also told that T is tarantulas and B is butterflies.

$T + B = 47$

Then, we also know that butterflies have 6 legs and tarantulas have 8 legs. So, for every tarantula, we get a multiple of 8 and for butterflies, we get a multiple of 6. This gives us a new equation:

$6B + 8T = 320$

Now, we can set up a system of equation.

$\displaystyle \left \{ {{B + T = 47} \atop {6B + 8T = 320}} \right.$

Using the first equation, we can solve for B.

$\displaystyle B + T = 47\\\\B + T - T = 47 - T\\\\B = 47 - T$

Then, we can substitute this value of B into the second equation and solve for T.

$\displaystyle 6(47-T)+8T=320\\\\282 - 6T + 8T = 320\\\\282 + 2T = 320\\\\2T + 282 = 320\\\\2T + 282 - 282 = 320 -282\\\\2T = 38\\\\\frac{2T}{2}=\frac{38}{2}\\\\T = 19$

Finally, we can substitute this value of T into the first equation to solve for B.

$B + 19 = 47\\\\B + 19 - 19 = 47 - 19\\\\B = 28$

Therefore, the solution to this system of equations is:

B = 28
T = 19

7 0

3 years ago

Daquavion ha some great video games.Nicholas has 3 more games than daquavion. If Nicholas has 14 games, how many does daqauvion

forsale [732]

If Nicholas has 14 games, Daqauvion has 11 games because 14-3=11

6 0

3 years ago

Arnie skated 1 3/4 from home to the lake. He skated 1 1/3 miles around the lake and then skated back home. Write an addition sen

Novosadov [1.4K]

An addition sentence is just addition.

1 3/4 + 1 1/3 + 1 3/4 = ?

7/4 + 7/4 + 4/3

First find the lowest common denominator.

21/12 + 21/12 + 16/12

= 58/12 = 4 10/12 = 4 5/6

4 0

4 years ago

Evaluate the expression 5 square minus (3 square+4)

nikitadnepr [17]

Answer:

Step-by-step explanation:

We have 5 squared minus (3 squared plus 4). Convert this to mathematical expression:

- "5 squared" = 5²

- "minus" = -

- "3 squared" = 3²

- "plus 4" = + 4

Put it altogether:

5² - (3² + 4)

5² = 5 * 5 = 25 and 3² = 3 * 3 = 9, so:

25 - (9 + 4) = 25 - (13) = 12

The answer is thus 12.

<em>~ an aesthetics lover</em>

5 0

4 years ago

Read 2 more answers

The length of one leg of a right triangle is 20 ft and the length of the hypotenuse is 52 ft. What is the length of the other le

Ludmilka [50]

We will apply Pythagoras theorem in a right triangle, which states

" Consider a right triangle with hypotenuse 'h' and two legs say 'b' and 'p'. Pythagoras theorem states that the square of hypotenuse is equal to the sum of the square of both the legs of a triangle".

Mathematically, $h^{2}=b^{2}+p^{2}$ (Equation 1)