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zloy xaker [14]
2 years ago
10

Last Thursday you bought a total of 33 school supply items. You spent $58 Pencils are $1.50 and glue sticks are $2 each. How man

y of each item did you buy? (5 pts)​
Mathematics
1 answer:
Misha Larkins [42]2 years ago
8 0

Answer:

16 pencils and 17 glue sticks

Step-by-step explanation:

X=pencils

Y=glue sticks

X+Y=33

1.50X+2Y=58

times ten to get whole numbers

=15X+20Y=580

same for e1

=10X+10Y=330

15X+20Y=580

10X+10Y=330

elimination mthd

150X+200Y=5800

150X+150Y=4950

50Y= 850

<u>Y</u><u>=</u><u>1</u><u>7</u>

<u>X</u><u>+</u><u>17</u><u>=</u><u>3</u><u>3</u>

X=33-17

X=16

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During the final 5 seconds of a race a cyclist increased her velocity from 4 m/s to 7 m/s . What was her average acceleration du
GREYUIT [131]

Answer:

The average acceleration of the cyclist was 0.6 m/s².

Step-by-step explanation:

Acceleration:

The rate change of velocity per unit time is call the acceleration of the object.

a=\frac{v-u}t

u= initial velocity

v= final velocity

t= time taken change of velocity.

During the final 5 seconds of a race cyclist increased her velocity from 4m/s to 7 m/s

Here v= 7 m/s and u=4 m/s t=5 seconds

\therefore a=\frac{7\ m/s-4 \ m/s}{5s}

     =\frac{3}{5} \ m/s^2

     =0.6 m/s²

The average acceleration of the cyclist was 0.6 m/s².

8 0
3 years ago
Plz help me find sides M and N round to the nearest tenth​
Sergio [31]

Answer:

44

Step-by-step explanation:

gradpoint

6 0
2 years ago
Given the points A(3, 4) and B (6, 10), find the
Dvinal [7]

Answer:

P (5 , 8)

Step-by-step explanation:

P (x,y) partition A (x₁ , y₁) B (x₂ , y₂) into ratio AM:MB = a:b = 2:1  ... a=2 , b=1

x = (bx₁ + ax₂) / (a+b)

  = (1 * 3 + 2 * 6) / (2 + 1)

  = 15/3

  = 5

y = (by₁ + ay₂) / (a+b)

  = (1 * 4 + 2 * 10) / (2 + 1)

  = 24/3

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P (5 , 8)

8 0
3 years ago
The perimeters of similar triangles are in the same ratio as the corresponding sides
wariber [46]

Answer:

Always

Step-by-step explanation:

Suppose you have triangle ABC with side lengths a, b, c. Suppose that is similar to triangle DEF with side lengths d, e, f.

Now, let k be the ratio of corresponding sides ...

  k = d/a

Because the same factor applies to all sides, we also have ...

  k = e/b = f/c

That is, if we multiply by the denominators of each of these fractions, we get ...

  • d = a·k
  • e =b·k
  • f = c·k

The perimeter of ΔABC is ...

   perimeter(ABC) = a + b + c

The perimeter of ΔDEF is ...

  perimeter(DEF) = d + e + f = a·k + b·k + c·k

  perimeter(DEF) = k(a + b + c) = k·perimeter(ABC)

  k = perimeter(DEF)/perimeter(ABC)

That is, the perimeters are in the same ratio as corresponding sides.

3 0
3 years ago
Please help cuz i ok with math but not this type of math so PLEASE HELP ME!
Korolek [52]

Answer:

y=1x-4

Step-by-step explanation:

The original is

y=mx+b

m is the slope   and b is the y intercept

8 0
3 years ago
Read 2 more answers
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