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Pierre wants to make tables and chairs. He has a total of 220 wooden boards and 760 nails. 13T+8C≤220 represents the number of t

Alisiya [41]

Answer:

Pierre has enough boards and nails to make 9 tables and 5 chairs.

Step-by-step explanation:

13T+8C ≤ 220

Let us substitute 9 for T and 5 for C and check.

13(9) + 8(5) = 117 + 40

= 157 < 220

So, 220 wooden boards are sufficient to make 9 tables and 5 chairs.

48T+37C ≤ 760

Substitute 9 for T and 5 for C.

48(9)+37(5) = 432 + 185

= 617 < 760

So, 760 nails are sufficient to make 9 tables and 5 chairs.

Hence, Pierre has enough boards and nails to make 9 tables and 5 chairs.

3 0

2 years ago

1. Find the value of x. 55° (4x - 5)° O 26 O

Paha777 [63]

Answer:

26

Step-by-step explanation:

The sum of angles in a triangle is 180 degrees, use this and set up an equation;

x + ( 4x -5 ) + 55 = 180

Simplify

x + ( 4x - 5 ) + 55 = 180

5x + 50 = 180

Inverse operations;

5x + 50 = 180

-50 - 50

5x = 130

/5 /5

x = 26

7 0

2 years ago

three tanks are capable of holding 108 litres, 168 litres and 180 litres of milk. determine the capacity of the greatest vessel

SpyIntel [72]

A vessel of 7,560 liters

Step-by-step explanation:

This means finding the Least Common Multiple for;

108 168 180

We begin by finding the multiples of each number;

Multiples of 108:

108, 216, 324, 432, 540, 648, 756, 864, 972, 1080, 1188, 1296, 1404, 1512, 1620, 1728, 1836, 1944, 2052, 2160, 2268, 2376, 2484, 2592, 2700, 2808, 2916, 3024, 3132, 3240, 3348, 3456, 3564, 3672, 3780, 3888, 3996, 4104, 4212, 4320, 4428, 4536, 4644, 4752, 4860, 4968, 5076, 5184, 5292, 5400, 5508, 5616, 5724, 5832, 5940, 6048, 6156, 6264, 6372, 6480, 6588, 6696, 6804, 6912, 7020, 7128, 7236, 7344, 7452, 7560, 7668, 7776

Multiples of 168:

168, 336, 504, 672, 840, 1008, 1176, 1344, 1512, 1680, 1848, 2016, 2184, 2352, 2520, 2688, 2856, 3024, 3192, 3360, 3528, 3696, 3864, 4032, 4200, 4368, 4536, 4704, 4872, 5040, 5208, 5376, 5544, 5712, 5880, 6048, 6216, 6384, 6552, 6720, 6888, 7056, 7224, 7392, 7560, 7728, 7896

Multiples of 180:

180, 360, 540, 720, 900, 1080, 1260, 1440, 1620, 1800, 1980, 2160, 2340, 2520, 2700, 2880, 3060, 3240, 3420, 3600, 3780, 3960, 4140, 4320, 4500, 4680, 4860, 5040, 5220, 5400, 5580, 5760, 5940, 6120, 6300, 6480, 6660, 6840, 7020, 7200, 7380, 7560, 7740, 7920

The Least Common Multiple for the 3 number is;

= 7560

Therefore a vessel of 7,560 liters fills each one of them an exact number of times with no remainder.

Learn More:

For more on Least Common Multiple check out;

brainly.com/question/11978021

#LearnWithBrainly

5 0

3 years ago

What is the equation of the following line you should scroll down to see all Answer options

lilavasa [31]

Given

Given

$\begin{gathered} points \\ (0,0)\text{ and }(15,3) \end{gathered}$ SolutionStep 1Find slope $Slope\text{ \lparen M\rparen=}\frac{y_2-y_1}{x_2-x_1}$ $\begin{gathered} x_1=0 \\ y_1=0 \\ x_2=15 \\ y_2=3 \end{gathered}$

Substitute the given points into the slope formula

$Slope(m)=\frac{3-0}{15-0}=\frac{3}{15}=\frac{1}{5}$ step 2Equation of a line $\begin{gathered} y=mx+b \\ m=\frac{1}{5} \\ x=0 \\ y=0 \\ \end{gathered}$ $\begin{gathered} 0=0(\frac{1}{3})+b \\ b=0 \end{gathered}$ Step 3 $y=\frac{1}{5}x$ The final answerOption B

6 0

1 year ago

a spinner has 3 equal sections labeled red, purple ,and yellow how many times would you expect to land on red if you doin it 24

torisob [31]

Answer:

8 times

Step-by-step explanation:

we have a 1/3 chance per spin to land on red

so we would expect it to land 33.3% of the time

1/3*24=8

another easy way is to divide by 3

24/3=8

6 0

3 years ago