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Phantasy [73]
3 years ago
7

Andre’s school orders some new supplies for the chemistry lab. The online store shows a pack of 10 test tubes costs $4 less than

a set of nested beakers. In order to fully equip the lab, the school orders 12 sets of beakers and 8 packs of test tubes.
1. Write an equation that shows the cost of a pack of test tubes, t, in terms of the cost of a set of beakers, b.

2. The school office receives a bill for the supplies in the amount of $348. Write an equation with t and b that describes this situation.

3. Since t is in terms of b from the first equation, this expression can be substituted into the second equation where t appears. Write an equation that shows this substitution.

4. Solve the equation for b

5. How much did the school pay for a set of beakers? $

6. How much did the school pay for a pack of test tubes? $
Mathematics
1 answer:
navik [9.2K]3 years ago
4 0

10t = b - 4

12b+8t = $348

This is a system of equations. I’ll be solving through substitution.

In the first equation. solving for b (the easier variable to isolate) gives you:

b = 10t + 4

Substitute this into the second equation:

12(10t+4) +8t = 348

120t+48+8t = 348

128t = 300

t = 2.34375 —> round it to the nearest cent to get 2.34 dollars

b = 10t+4

b = 10(2.34)+4

b = 27.4 dollars

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The base of a pyramid has n sides. Write and expression for the number of faces of the pyramid
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Remark

The number of faces reaching out in the 3rd dimension of the pyramid = the number of edges on the base.

Givens

Number of edges (or sides on the base)= e

Number of faces = f

Formula

F = e + 1 Don't forget that the base is also a face.

5 0
3 years ago
A rectangular soccer field is 80 meters wide and 110 meters long. The coach asks players to run from one corner of the field to
seraphim [82]

Answer:

Step-by-step explanation:

Goven the length of the field = 110m

Width = 80m

The length of the diagonal is expressed using the pythagoras theorem;

d² = l² + w²

d² = 110² + 80²

d² = 12100 + 6400

d² = 18500

d = √18500

d = 136.01

Hence the players have to run 136.01m diagonally

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3 years ago
Find the amount of time. I=$237. 90, P=$1525, r=2. 6%<br> Find the amount of time. __ Years
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~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$237.90\\ P=\textit{original amount deposited}\dotfill & \$1525\\ r=rate\to 2.6\%\to \frac{2.6}{100}\dotfill &0.026\\ t=years \end{cases} \\\\\\ 237.90 = (1525)(0.026)(t)\implies \cfrac{237.90}{(1525)(0.026)}=t \implies 6=t

3 0
2 years ago
On a single roll of a pair of dice, what are the odds against rolling a sum of 12?
o-na [289]

Answer:

\frac{1}{35}

Step-by-step explanation:

On a single roll of a pair of dice. When a pair of dice are rolled the possible outcomes are as follows:

(1,1)         (1,2)          (1,3)  (1,4)  (1,5)  (1,6)

(2,1)  (2,2)  (2,3)  (2,4)  (2,5)  (2,6)

(3,1)  (3,2)  (3,3)  (3,4)  (3,5)  (3,6)

(4,1)  (4,2)  (4,3)  (4,4)  (4,5)  (4,6)

(5,1)  (5,2)  (5,3)  (5,4)  (5,5)  (5,6)

(6,1)  (6,2)  (6,3)  (6,4)  (6,5)  (6,6)

The number of outcomes that gives us 12 are (6,6). There is only one outcome that gives us sum 12.

Total outcomes = 36

Odd against favor = \frac{non \ favorable\ outcomes}{favorable \ outcomes}

Number of outcomes of getting sum 12 is 1

Number of outcomes of not getting sum 12 is 36-1= 35

odds against rolling a sum of 12= \frac{1}{35}

3 0
3 years ago
A triangle on a coordinate plane is translated according to the rule T–3, 5(x, y). Which is another way to write this rule?
BARSIC [14]
We have that

 the original (x,y) coordinates are being moved to the left by 3 units and up by 5 units.

therefore 
the answer is the option 
<span>(x, y) → (x – 3, y + 5)</span>
3 0
3 years ago
Read 2 more answers
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