Answer:
A. He does a calculation to find the cost of 400 chairs and compares the amount to $11,000Step-by-step explanation:
Step one:
given data
total money =$11,000
number of chairs to be purchased= 400
cost per chair=$72
Step two:
the cost of 400 chairs will be
400*72= $28,800
there will be a deficit of
=28,800-11,000
=$17,800.
This shows that the office manager does not have enough funds for the purchase.
Hence to support his thinking,
A. He does a calculation to find the cost of 400 chairs and compares the amount to the amount he has.
En una hoja de papel cuyo perímetro es de 96 centímetros, se quiere imprimir un volante de manera que el área impresa sea un rectángulo cuyo largo mida el doble del ancho, el margen superior mida 3 centímetros, el izquierdo 5 centímetros y los márgenes inferior y derecho midan 2 centímetros cada uno. ¿Cuál es el perímetro de la región impresa?, ¿cuál es el área?
Answer:
El perímetro de la región impresa es 72 cm y su área es 288 cm².
Step-by-step explanation:
1. Tenemos el perímetro de la hoja de papel:
P₁ = 96 cm = 2l₁ + 2a₁ (1)
Como sabemos el margen superior, inferior, izquierdo y derecho podemos encontrar la relación entre el largo y ancho del rectángulo interno (región impresa) con el largo (l) y ancho (a) del rectángulo externo (hoja de papel):
[tex] l_{2} = l_{1} - (m_{s} + m_{i}) = l_{1} - (3 cm + 2 cm) = l_{1} - 5 cm [/tex] (2)
[tex] a_{2} = a_{1} - (m_{d} + m_{iz}) = a_{1} - (2 cm + 5 cm) = a_{1} - 7 cm [/tex] (3)
El perímetro del rectángulo interno es:
[tex] P_{2} = 2l_{2} + 2a_{2} [/tex] (4)
Introduciendo la ecuación (2) y (3) en (4):
[tex] P_{2} = 2l_{2} + 2a_{2} = 2(l_{1} - 5 cm) + 2(a_{1} - 7 cm) = 2l_{1} + 2a_{1} - 10 cm - 14 cm = 96 cm - 24 cm = 72 cm [/tex]
Por lo tanto el perímetro del rectángulo interno (región impresa) es 72 cm.
2. Ahora para encontrar el área rectángulo interno debemos encontrar el largo y ancho del mismo, sabiendo que:
[tex] l_{2} = 2a_{2} [/tex] (5)
Introduciendo (5) en (4):
[tex] P_{2} = 2l_{2} + 2a_{2} = 2*2a_{2} + 2a_{2} = 6a_{2} [/tex]
[tex] a_{2} = \frac{P_{2}}{6} = \frac{72 cm}{6} = 12 cm [/tex]
[tex] l_{2} = 2a_{2} = 2*12 cm = 24 cm [/tex]
Entonces el área es:
[tex] A_{2} = l_{2}*a_{2} = 12 cm*24 cm = 288 cm^{2} [/tex]
Por lo tanto el área del rectágulo interno (región impresa) es 288 cm².
Espero que te sea de utilidad!
an atom of a certain element has 35 protons and has 7 valence electrons. which statement best identifies the element ?
Answer:
the number of protons identifies what element it is, since it has 35 protons it is Bromine
number of protons=atomic number
The element is Bromine which as atomic number of 35.
Atomic number :The number of protons in an atom is equal to atomic number.
It is given that, an atom of a certain element has 35 protons and has 7 valence electrons.
So that, atomic number of atom [tex]=35[/tex]
From periodic table, It is observed that Bromine has atomic number of 35.
Learn more about atomic number here:
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Rewrite this number in scientific notation: 494,000
Answer:4.94*10^5
Step-by-step explanation:
Step-by-step explanation:
Hello there! I think the answer is: 4.94 × 10^5
In scientific notation, you move the decimal point until you get a number between 1 and 10. Then you count the number of digits after.
My reasoning is below-
There are 3 zeros right of the number 494.
Therefore, I got the answer 4.94 x 10^5
Two numbers differ by 4. The product of the two numbers is 221. What are the numbers?
Answer:
17 and 13
Step-by-step explanation:
Answer:
Step-by-step explanation:
Represent this with two linear equations:
x+4 = y
x * y = 221
substitute for y:
y= 221/x
Plug this back into first equation:
221/x = x +4
x^2 + 4x = 221
x^2 + 4x -221 = 0
Solve this with a quadratic:
x = -17, x = 13
take the values of 17 and 13, which satisfy the given conditions
Margie says the set of numbers, 0.1, -1, -21 4 , 3, are in order from least to greatest. What is her error? She did not use the correct common denominator. The 3 is in the wrong place. She treated all the numbers as positive. The –1 should be the first number on the list.
Answer:
C. She treated all numbers as positive.
Step-by-step explanation:
-2 1/4 and -1 are less that 0.1
Answer:
C
Step-by-step explanation:
Will give brainliest
Answer:
29
Step-by-step explanation:3(2x1+3)-4(1-3)+3x2
Find the error & explain why it is wrong:
Answer:
the error is 13√10
because 4√5 + 9√5 = (4 + 9).√5 = 13√5
Step-by-step explanation:
Please help me with these 5 questions
Answer:
4. 85
5. 23.9
The rest are correct
What could the equation of these two lines be?
Answer:
I think it's y=mx+b
Step-by-step explanation:
3 3/4 x 2/5 please help
Answer:
3.3
Step-by-step explanation:
hope this help
The Baldwin family walked four over five of a mile in four over nine of an hour. What is their unit rate in miles per hour? (5 points)
four-ninths over four-fifths equals four over nine mile per hour
four-fifths over four-ninths equals one and four-fifths miles per hour
four-ninths over four-fifths equals one and four-fifths miles per hour
four-fifths over four-ninths equals four over nine mile per hour
Answer:
4/5 / 4/9 = 1 and 4/5 mph or B
Step-by-step explanation:
4/5 / 4/9
4/5 times 9/4 = 36/20
36/20 simplified = 9/5
9/5 = 1 and 4/5
Answer:
4/5 over 4/9 = 1 4/5
Explanation:
(Took test)
Step-by-step explanation:
4/5 mile in 4/9 of an hour
0.8 mile in 0.444444444 of an hour
Unit rate: 1.8 miles per hour
0.8 = 8/10 = 4/5
1.8 = 1 4/5
How many solutions does the equation have? 5(w−1)−2=5w+7
Answer: no solutions
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
5(w-1)-2=4w+7
(5×w-5×1)-2=4w+7
5w-5-2=4w+7
-5-2-7=4w-5w
-14=-w
-14/-=-w\-
w=14
As an estimation we are told £3 is €4.
Convert €12 to pounds.
Answer:
£9
Step-by-step explanation:
3 x 4 = 12
3 x 3 = 9
Answer:
£9
Step-by-step explanation:
£3 -> €4
x3
£? -> €12
so three times three
3 x 3 = 9
Another way
3 divided by 4 is .75
so multiply .75 by 12
What can sound engineers do with a mixing console? HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP ill give brainliest to the first answer
Answer:
Sound engineers use a mixing console to control volume, balance, and EQ o a live performance.
Answer:
so you can give the other person brainlist
Step-by-step explanation:
5x + 8 = 43
What is x
Answer:
x = 7
Step-by-step explanation:
You minus 8 from both sides which becomes, 5x = 35,
35 ÷ 8 = 7
Check work:
5 times 7 = 35.
35 + 8 = 43
The solution is: solve of the equation 5x + 8 = 43 is: x = 7.
Here, we have,
given that,
the equation is: 5x + 8 = 43
now, we have to solve this.
so, we have,
5x + 8 = 43
we minus 8 from both sides which becomes,
5x = 35
we know that, 5 times 7 = 35
Divide 5 on both sides so that the only thing remaining on the left side is the variable x.
so, x = 7
Final Answer: 7
Hence, The solution is: solve of the equation 5x + 8 = 43 is: x =7.
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Which of the following numbers is rational?
-9
0
all of the above
answer quick for brainllest
Answer:
all of the above
Step-by-step explanation:
Meryl needs to cut down 10.510.510, point, 5 trees for every 555 cabins she builds.
Complete the table using equivalent ratios.
Number of trees Number of cabins
10.5 5
? 3
? 7
Answer:
3 cabins takes 6.3 trees
7 cabins takes 14.7 trees
Step-by-step explanation:
divided 10.5 by 5= 2.1 trees per cabin
2.1 x however many cabins your gonna build
(6x³ - 16x² + 11x - 5) + (3x - 2)
Answer:
Step-by-step explanation:
6x3 - 16x2+ 11x - 5+ 3x - 2
Solving like terms
6x3 - 16x2 + 14x - 7
HELPPPP drag the correct equation to the graph
Which of the following equations represents the value of a savings account at the Owl Credit Union at Dundalk High School that has an initial
deposit of $250 and pays an annual interest rate of 2%?
Answer:
Step-by-step explanation:
Given
Initial deposit (Principal)= $250
Rate = 2%
Time = 1year (annual interest)
Required
Amount after 1 year
First we need to calculate interest
Interest = PRT/100
Interest = 250*2*1/100
Interest 2.5 * 2
Interest = $5.0
Next is to calculate amount;
Amount = Principal + Interest
Amount = $250 + $5
Amount = $255
Hence the value of a savings account at the Owl Credit Union at Dundalk High School that has an initial deposit of $250 and pays an annual interest rate of 2% is $255.
Amount = P + I
Value of savings account is $255
Simple Interest rate;Given that:
Initial deposit = $250
Annual interest rate = 2% = 0.02
Find:
Equations represents value of savings account
Computation:
Equations represents value of savings account = P + PRT
Equations represents value of savings account = 250 + (250)(0.02)(1)
Equations represents value of savings account = 250 + 5
Equations represents value of savings account = $255
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Is the following true or false? Why?
x < 8 is the same as 8 < x
Answer:
False.
Step-by-step explanation:
X can not be less than 8 and also greater than 8 and the same time.
Kenya picked 18 flowers from her garden. If 3− 5of flowers in her garden remain unpicked, how many flowers are still in her garden?
Answer:
4
Step-by-step explanation:
It is 4 because 4 is a even number in the scale in 3-4 and 18 is even.
Let me know if its wrong
A jar holds 72 worms and a cup holds 8 how many more does the jar have than the cup
Answer:
64
Step-by-step explanation:
Answer:
64
Step-by-step explanation:
72 - 8 = 64
sjsjskkskalw
can someone answer this please!!?
Answer:
6 minutes
Step-by-step explanation:
Answer:
6 minutes
Step-by-step explanation:
i'm pretty sure by my equation, i'm sorry if it is wrong..
I WILL MARK YOU BRAINLIEST IF YOU ANSWER
Answer:
29.25 Pound sterling
Answer:
50.7? I think ..,.
Step-by-step explanation:
39*1.3 = 50.7
if 15% of a number is 12 and 95% of the same number is 76, find 80% of that number
Help me plz I need help
Answer:
5 5/8
Step-by-step explanation:
can someone help me? (m is a variable if you didnt know, thats what im trying to figure out)-1.5m = -2.55
Answer:
m = 1.7
Step-by-step explanation:
Divide each side by -1.5 to cancel out the -1.5 next to m. It should now look like this: m = 1.7I hope this helps!
Franklin school is having a Popsicle party for its nine hundred fifty four students.The secretary there will some Popsicle left over to share with the teachers. Each student will get two Popsicle. Popsicle come in boxes that have one dozen Popsicle. There are twenty-five boxes in cartoon, how many boxes of Popsicle? Show your work.
Answer:
175 boxes
Step-by-step explanation:
There are a total of 954 students since each student will get two popsicles that would mean we need a total of 1,908 popsicles (954 * 2). Since each box contains 12 popsicles then we simply divide the total number of popsicles needed by the number of popsicles that fit in each box to find the total number of boxes.
1,908 / 12 = 159 boxes
Since there are 25 boxes per carton we divide 159 by 25
159 / 25 = 6.36
Now we see that we need at least 6.36 cartons of popsicles, but since we can't get 6.36 we would need to get 7 cartons which would bring a total of
7 * 25 = 175 boxes
Finally, we would end up with 175 boxes of popsicles which would be enough for all the students and have leftover for the teachers.
What is the solution to the system of equations?
8x + y = -16
3x – y = 5
Answer:
For the first one if solving for y, y=−8x−16. If solving for x,
x= −1/8y-2
For the second one if solving for y, y=3x−5 and if solving for x,
x=1/3y +5/3