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adelina 88 [10]
2 years ago
9

A rectangle is 5 √7 + 2 √3 meters long and 6 √7 - 3 √3 meters wide. a. Find the perimeter of the rectangle in simplest form. 2 b

. Find the area of the rectangle in simplest form.
Mathematics
1 answer:
Lunna [17]2 years ago
6 0
I think the answer is 16.70
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Percent word problems Problem Luke and Matthew ran a lemonade stand on Saturday. They agreed that Matthew would get 60\%60%60, p
Tanzania [10]

Answer:

15 dollars.

Step-by-step explanation:

That would be 60% of 25

= 25 * 0.6

= 15 dollars.

4 0
1 year ago
Von mixes tomato sauce and milk to make soup. First he puts 150 milliliters of
elixir [45]

Answer:

C, 350

Step-by-step explanation:

So we know that each dark mark on the measuring cup represents 100 mL. Using this information, we can now discover that the lighter marks are 50 mL more than a darker mark. Because the liquid is in between 300 and 400, we can take the average of these numbers to get a final answer of <u>350</u>.

Hope this helps!

7 0
2 years ago
Read 2 more answers
An ore ship is traveling west toward Duluth on Lake Superior at 18 miles per hour. The bearing of Split Rock Lighthouse is 285de
goblinko [34]
We are given
v = 18 m/hr west
θ1 = 285°
θ2 = 340°

After 1 hours, the distance traveled by the ship is
dv = 18 mi

The distance between the ship and the lighthouse is
d = 18 / cos 340
Solve for d<span />
5 0
2 years ago
Camilo practica tiro al blanco. En cada disparo acertado puede obtener 5, 8, o 10 puntos. En su última práctica, su puntuación t
Radda [10]

Answer:

20 disparos

Step-by-step explanation:

Primera etapa es de determinar cuantos tiros de Camilo acertaron al blanco.

Sabemos que en su última práctica, obtuvo 99 puntos con una mezcla de 5, 8 y 10 puntos.  Eso puedo se exprimir así:

5x + 8y + 10x = 99

Sabemos también que el obtuvo tantos tiros de 8 puntos que de 10 puntos, entonces

y = z

Podemos mezclar las 2 ecuaciones y substituir y por z:

5x + 8y + 10y = 99

5x +18y = 99

Una ecuación, dos variables... no es fácil... pero son números pequeños y se puede intentar soluciones.  Entonces, cuantas veces podemos multiplicar 5 y 18 para obtener 99?

El más simple es de hacer la tabla de multiplicación de 18 y ver cual número nos deja con un multiple de 5.

18 x 1 = 18 (99 - 18 = 81, no un multiple e 5)

18 x 2 = 36 (99 - 36 = 63, no un multiple de 5)

18 x 3 = 54 (99 - 54 = 45, SI, un multiple de 5)

18 x 4 = 72 (99 - 72 = 27, no un multiple de 5)

18 x 5 = 90 (99 - 90 = 9, no un multiple de 5)

Entonces, sabemos que y = 3 y z = 3

5x + 18 (3) = 99

5x + 54 = 99

5x = 45

x = 9

El tiró 9 veces por 5 puntos, 3 veces por 8 puntos y 3 veces pour 10 puntos.

En total tiró 15 veces.

Si acertó 75% (3/4) de las veces, cuantos tiros total?

\frac{15}{3/4} = \frac{15 * 4}{3} = 20

Camilo tiró 20 veces en total.

8 0
2 years ago
Cassie made a picture graph to record the points that third grade students scored on test.Mrs Wilson's group scored 40 points in
lara31 [8.8K]

Answer:

4 students scored 3 points each

7 students scored 4 points each

Step-by-step explanation:

<u>Undetermined equations </u>

There are problems where there are not enough data to provide a unique (determined) solution. We form as many equations as possible and try to find the combination of values of the variables to fulfill all the conditions

For this question, we are assuming the grades go from 1 to 5. We know 11 students in Mrs. Wilson's group scored 40 points in all. We must find a combination of points to produce a sum of 40. We're also assuming only integer points can be scored.

To make things easier, let's find the mean value of the total scores: 40/11=3.6

If we stick to the closest integer near 3.6 we can find a quick solution. Let's think all the students scored 4. It would give a total of 44 points (4 more than required). To adjust the excess, we simply set the score of 4 students to 3 points. Our solution will be

4 students scored 3 points each: 12 points

7 students scored 4 points each: 28 points

Total: 40 points

Note: You can find more solutions apart from this one. For example, set the score of one of the 4-points students to 3. To compensate, set another one from that group to 5 points. Our new solution will be

5 students scored 3 points each: 15 points

5 students scored 4 points each: 20 points

1 student  scored 5 points     :  5 points

It also has a total of 40 points from 11 students

6 0
2 years ago
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