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miss Akunina [59]
3 years ago
15

The rovers scored a total of 80 point in a basketball game against the bulls. The rovers made a total of 37 two-point and three-

point baskets. How many of each kind of basket did the rovers make????
I need fast help!! And please show work!! Thanks!
Mathematics
1 answer:
Maurinko [17]3 years ago
8 0
Let's use a systems of equations to solve for our answers. Let's consider the amount of 2-point baskets <em>a</em> and the amount of 3-point baskets <em>b.

</em>Regarding the amount of points scored in the game, 80 points compromised some number of 2-point and 3-point baskets. Putting this into an equation, we understand that 80 = 2a + 3b.
<em>
</em>Regarding the amount of baskets made in the game, we know that there was a total of 37 baskets made. Putting this into an equation, we get that 37 = a + b
<em>
</em>Now, let's set up our system:
<em></em>2a + 3b = 80
a + b = 37

Now, we can solve this system:
2a + 3b = 80
2a + 2b = 74
b = 6.

Given that 37 = a + b = a + 6, we know that a = 31.

Thus, the team made 31 two-point baskets and 6 three-point baskets.
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Answer:

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Step-by-step explanation:

Hope this helps, have a good day. c;

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Michael bought 0.65 kilograms of cubed stake. The meat costs $8.50 a kilogram. How much did Michael pay for the stake
Temka [501]

Answer:

Approximately $5.53

Step-by-step explanation:

You need to multiply the cost of meat per kilogram by the amount you you buy in kilograms.

$8.50*0.65= $5.525

That rounds to $5.53

8 0
2 years ago
As – 16a,<br> as – 4a3,<br> 2a3 + 8a - 4a2 - 16
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Answer:

1) as-16a

taknig a as common

=a(s-16)

2)as-4a³

taking a as common

=a(s-4a²)

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taking common terms

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again taking common

=2(a-2)(a²+4)

i hope this will help you :)

7 0
3 years ago
Find the volume of the wedge cut from the first octant by the cylinder z=12-3y^2 and the plane x+y=2.
LuckyWell [14K]

Answer:

The wedge cut from the first octant ⟹ z ≥ 0 and y ≥ 0 ⟹ 12−3y^2 ≥ 0 ⟹ 0 ≤ y ≤ 2  

0 ≤ y ≤ 2 and x = 2-y ⟹ 0 ≤ x ≤ 2  

V = ∫∫∫ dzdydx  

dz has changed from zero to 12−3y^2  

dy has changed from zero to 2-x  

dx has changed from zero to 2  

V = ∫∫∫ dzdydx = ∫∫ (12−3y^2) dydx = ∫ 12(2-x)-(2-x)^3 dx =  

24(2)-6(2)^2+(2-2)^4/4 -(2-0)^4/4 = 20

Step-by-step explanation:

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3 years ago
Addition of unlike fractions 5/3 + 7/4​
Maru [420]

Answer:

\boxed{ \bold{ \huge{ \boxed{ \sf{3 \frac{5}{12}}}}}}

Step-by-step explanation:

\star{ \sf{ \:  \:  \frac{5}{3}  +  \frac{7}{4}}}

Convert the given fractions into like fractions.

To do so, Take the L.C.M ( Least Common Multiple ) of 3 and 4.

To find out the L.C.M of given numbers,

First of all, find the prime factors of each numbers.

3 = 3 × 1

4 = 2 × 2 × 1

Take out the common prime factor i.e 1

Also take out the other remaining prime factors i.e 2 , 2 and 3

Now, multiply those all prime factors and obtain L.C.M

= 1 × 2 × 2 × 3 = 12

L.C.M of 3 and 4 = 12

\dashrightarrow{ \sf{ \frac{5 \times 4 + 7 \times 3}{12}}}

\dashrightarrow{ \sf{ \frac{20 + 21}{12}}}

Add the numbers : 20 and 21

\dashrightarrow{ \sf{ \frac{41}{12}}}

Convert the improper fraction into mixed fraction

\dashrightarrow{  \boxed{\sf{3 \frac{5}{12} }}}

Remember : While performing the addition or subtraction of unlike fractions, you have to express the given fractions into equivalent fractions of common denominator and add or subtract as we do with like fractions. Thus , obtained fractions should be reduced into lowest terms if there are any common on numerator and denominator. But in case of improper fraction, it needs to be deduced on mixed fraction.

Hope I helped!

Best Regards!

~ TheAnimeGirl

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