1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Yanka [14]
2 years ago
8

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

ables T and chairs C he can make with 220 wooden boards. 48T+37 C≤760 represents the number of tables and chairs he can make with 760 nails. Does Pierre have enough boards and nails to make 9 tables and 5 chairs?
Mathematics
1 answer:
Alisiya [41]2 years ago
3 0

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.

You might be interested in
How many degrees are in a semicircle
Katen [24]

Answer: The answer is 180 degrees

4 0
3 years ago
Read 2 more answers
The next model of a sports car will cost 5.6% less than the current model. The current model costs $52,000. How much will the pr
Lostsunrise [7]

Answer:

49,088

Step-by-step explanation:

First you need to find 5.6% of 52,000. Simply multiply 52,000 by 0.056 (change the percent to a decimal) then you get 2,912.

Second, you need to subtract 2,912 from 52,000 which is 49,088

8 0
3 years ago
a painter uses 4 gallons of paint to paint each apartment in a building. if the painter has 45 gallons of paint, how many apartm
DochEvi [55]
The painter painted 11 apartments because 4 doesn’t go into 45, so the closest think to 45 is 4 x 11 (44). the painter will have 1 gallon left.
7 0
2 years ago
Read 2 more answers
22.5%in to a fraction
4vir4ik [10]
 if it's a mix fraction, then you write 22 1/2. if improper fraction, then write 45/2

3 0
3 years ago
Read 2 more answers
Find the equation of the inverse.<img src="https://tex.z-dn.net/?f=y%20%3D%20%20%7B2%7D%5E%7Bx%20%2B%205%7D%20%20-%206" id="TexF
Contact [7]

Find the equation of the inverse.

y =  {2}^{x + 5}  - 6

we have

y=\mleft\{2\mright\}^{\mleft\{x+5\mright\}}-6

step 1

Exchange the variables

x for y and y for x

x=\{2\}^{\{y+5\}}-6

step 2

Isolate the variable y

(x+6)=2^{(y+5)}

apply log both sides

\begin{gathered} \log (x+6)=(y+5)\cdot\log (2) \\ y+5=\frac{\log (x+6)}{\log (2)} \\  \\ y=\frac{\log(x+6)}{\log(2)}-5 \end{gathered}

step 3

Let

f^{(-1)}(x)=y

therefore

the inverse function is

f^{(-1)}(x)=\frac{\log(x+6)}{\log(2)}-5

7 0
1 year ago
Other questions:
  • How many of the first 1000 positive integers are multiples of both 4 and 5 but not 6 ? Although the options are
    5·1 answer
  • Stacey is looking for a job. She wants her take-home pay to be at least $32,000$32,000. What is the least her salary can be if s
    12·2 answers
  • Mr .Baker has baked some muffins. If he packs them in boxes of 4, he will have 3 left over. If he packs them in boxes of 5, he w
    10·1 answer
  • Please can I have some help with this histogram question
    14·1 answer
  • The side length of a cube is √7 cm.
    6·1 answer
  • Please simplify (y^-5)^4
    14·1 answer
  • What does 4(3+2x) equal
    11·2 answers
  • Kevin is sowing seeds in the flower beds of his garden. He sowed 30% of the flower beds in 15 minutes. How much longer will it t
    10·1 answer
  • Please help me with this math problem if you can. You just say yes or no if it’s a square, rectangle, etc. and then give the rea
    11·1 answer
  • Ms. Alma where is 86 kg she wants to reduce her body fat by 5% over the next month How many kilograms rounded to the nearest hun
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!