Randy needs to buy 5 pens and 3 colored pencils for his art activity. He has P 86.78 to spend. If the pens and pencils have the same price, how much is the pen and colored pencils per piece?
A. 9.50
B. 10.85
C. 8.75
D. 7.55
Betty's height was 119.2 cm, and Beth's height was 105.6 cm. Six months later, Betty gained 0.4 cm per
month, but Beth's height just remains the same. Find their new total height.
A. 227.2cm
B. 223.4cm
C. 231.8cm
D. 229.6cm
The cost of pen and colored pencils per piece is =10.85
The new total length of both Betty and Beth is =227.2cm
Total number of pens Randy needs to buy = 5
Total number of colored pencils Randy needs to buy= 3
The both items are bought at the same prize = a
The cost of five pens is = 5× a = 5a
The cost of colored pencils is = 3 × a= 5a
The money needed to spend on the items= 86.78
To find the cost of each item which is a ,
5a + 3a = 86.78
(5+3) a= 86.78
8a = 86.78
therefore a = 86.78/8
= 10.85
Therefore the prize of each item is = 10.85. That is option B
Betty's height = 119.2 cm
Beth's height = 105.6cm ( which remained the same)
But Betty's height after 6 months = (6× 0.4) + 119.2
= 2.4 + 119.2
= 121.6 cm
Therefore, the total new height= 121.6 + 105.6
= 227.2cm
That is option A.
Part A: The sun produces 3.9 ⋅ 1033 ergs of radiant energy per second. How many ergs of radiant energy does the sun produce in 3.25 ⋅ 103 seconds? (5 points)
Part B: Which is the more reasonable measurement of the distance between the tracks on a railroad:
1.435 ⋅ 10−3 mm or 1.435 ⋅ 103 mm? Justify your answer. (5 points)
9514 1404 393
Answer:
A) 1.3×10^37 ergs
B) 1.435×10^3 mm
Step-by-step explanation:
A) The quantity is found by multiplying the rate by the time:
(3.9×10^33 ergs/s)×(3.25×10^3 s) = 1.2675×10^37 ergs ≈ 1.3×10^37 ergs
The least-precise contributor to the calculation has 2 significant digits, so we need to round the result to 2 significant digits.
__
B) A fine human hair is more than 40×10^-3 mm in diameter, so the distance 1.435×10^-3 mm is completely unreasonable for railroad track spacing. The space between rails is closer to 1.4 meters. So 1.435×10^3 mm is a better measurement.
how to solve 700/2,5 with steps please
Find the Value of x
Please answer!!
No links!!
Answer:
x = 15 inches
Step-by-step explanation:
[tex]a^{2} +b^{2} =c^{2} \\b^{2} = c^{2} - a^{2} \\b^{2} = (25 inches)^{2} - (40 inces/2)^{2} = \sqrt{225} = 15 inches[/tex]
A rectangular solid measures 150cm by 100cm by 200cm calculate the volume
Answer:
3000000cm³
Step-by-step explanation:
150cm x 100cm x 200cm = 3000000cm³
8+4 =17+5
identify and explain the error made by the leaner
Answer:
let the value of x
Step-by-step explanation:
x=8+4=17+5
x=12=22x=22/12
x=1.8334
Show your work. -2.5(4x -4) = -6
Answer:
x = 1 3/5
Step-by-step explanation:
distribute.
-2.5*4x + (-2.5*-4) = -6
-10x +10 = -6
subtract 10 on both sides
-10x = -6 -10
divide by -10
x = -16/-10
x = 1 3/5
1. Brady had 432 Legos. Owen has
three times as many. How many Legos
does Owen have?
How
many do
they have all together?
Which of the following equations represent linear functions?
Answer:
a
Step-by-step explanation:
a linear function have a shape of y=ax+b
y=8x-3 is linear where a=8 and b=-3
Answer: y = 4(2x) - 3
Step-by-step explanation: Linear functions are typically in the form y = mx + b. Out of the 4 choices, only the first one, (y = 8x - 3 when distributed) is in this form.
Select the correct answer.
24c^6 - 32c^4
Which expression is equivalent to
8c^3 ? Assume that the denominator does not equal zero.
Answer:
B: [tex]c(3c^2-4)[/tex]
Step-by-step explanation:
1. Substitute [tex]1[/tex] for c: [tex](24^6-32^4)/(8^3)[/tex]
2. Solve substitution: [tex]-1[/tex]
3. Compare [tex]-1[/tex] to calculated answers when [tex]c=1[/tex]
4. [tex]c(3c^2-4)[/tex] when [tex]c=1[/tex] is [tex]-1[/tex]
Ordering numbers with positive exponents
Order the expressions by choosing >, <, or = .
Answer:
1 >
2 <
3 >
Step-by-step explanation:
I think so sorry if wrong :(
In Example 2 we saw that Airbus A330-300s seat 330 passengers and cost $250 million each, Boeing 767-300ERs seat 270 passengers and cost $200 million each, while Boeing Dreamliner 787-9s seat 240 passengers and cost $250 million each. You are the purchasing manager of an airline company and have a spending goal of $4950 million for the purchase of new aircraft to seat a total of 5850 passengers. Your company has a policy of supporting U.S. industries, and you have been instructed to buy twice as many Boeings as Airbuses. Given the selection of three aircraft, how many of each should you order?
The number of order of each aircraft is an illustration of simultaneous equations.
You should order 7 Airbus A330-300s, 5 Boeing 767-300ERs and 9 Boeing Dreamliner 787-9s
To do this, we make use of the following representations:
A represents Airbus A330-300sB represents Boeing 767-300ERsC represents Boeing Dreamliner 787-9sFrom the question, we have the following equations
[tex]\mathbf{330A + 270B + 240C = 5850}[/tex] ----the number of passengers
[tex]\mathbf{B + C = 2A}[/tex] --- the relationship between the number of planes
[tex]\mathbf{250A + 200B + 240C =4950 }[/tex] --- the budget
Make A the subject in [tex]\mathbf{B + C = 2A}[/tex]
[tex]\mathbf{A=\frac{1}{2}(B + C)}[/tex]
Substitute [tex]\mathbf{A=\frac{1}{2}(B + C)}[/tex] in [tex]\mathbf{330A + 270B + 240C = 5850}[/tex]
[tex]\mathbf{330 \times \frac{1}{2}(B + C) + 270B + 240C = 5850}[/tex]
[tex]\mathbf{165B + 165C + 270B + 240C = 5850}[/tex]
[tex]\mathbf{435B + 405C = 5850}[/tex]
Divide through by 15
[tex]\mathbf{29B + 27C = 390}[/tex]
Make C the subject
[tex]\mathbf{C = \frac{390 - 29B}{27}}[/tex]
Substitute [tex]\mathbf{A=\frac{1}{2}(B + C)}[/tex] in [tex]\mathbf{250A + 200B + 240C =4950 }[/tex]
[tex]\mathbf{250 \times \frac{1}{2}(B + C) + 200B + 240C =4950 }[/tex]
[tex]\mathbf{125B + 125C + 200B + 240C =4950 }[/tex]
[tex]\mathbf{325B + 365C =4950 }[/tex]
Divide through by 5
[tex]\mathbf{65B + 73C =990}[/tex]
Substitute [tex]\mathbf{C = \frac{390 - 29B}{27}}[/tex]
[tex]\mathbf{65B + 73\times\frac{390 - 29B}{27} =990}[/tex]
Multiply through by 27
[tex]\mathbf{65B \times 27+ 73\times(390 - 29B) =990 \times 27}[/tex]
[tex]\mathbf{1755B+ 28470 - 2117B =26730}[/tex]
Collect like terms
[tex]\mathbf{1755B- 2117B =26730 - 28470}[/tex]
[tex]\mathbf{-362B =-1740}[/tex]
Solve for B
[tex]\mathbf{B =\frac{1740}{362}}[/tex]
[tex]\mathbf{B =5}[/tex] --- approximated
Substitute [tex]\mathbf{B =5}[/tex] in [tex]\mathbf{C = \frac{390 - 29B}{27}}[/tex]
[tex]\mathbf{C = \frac{390 - 29 \times 5}{27}}}[/tex]
[tex]\mathbf{C = \frac{245}{27}}}[/tex]
[tex]\mathbf{C = 9}[/tex] --- approximated
Recall that: [tex]\mathbf{A=\frac{1}{2}(B + C)}[/tex]
So, we have:
[tex]\mathbf{A = \frac{1}{2} \times (5 + 9)}[/tex]
[tex]\mathbf{A = \frac{1}{2} \times 14}[/tex]
[tex]\mathbf{A = 7}[/tex]
Hence, you should order 7 Airbus A330-300s, 5 Boeing 767-300ERs and 9 Boeing Dreamliner 787-9s
Read more about simultaneous equations at:
https://brainly.com/question/16763389
Hey can someone help please hurry it’s important
[tex]\large\underline{\sf{Solution-}}[/tex]
Given info:
6885 ÷ 46
Here, we have given divisor (43) & dividend (6885). And in problem they asked to find quotient & remainder.
Let's solve!!
[tex] \sf{46 \overline{\bigg)68885 \bigg(}149← \red{Quotient}} \\ \sf \underline{ 46 \: \: \: \: \: \: \: \: \: \: \: \ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: } \\ \sf{228 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: } \\ \sf{ \underline{ - 184 \: \: \: \: \ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \\ \sf0445 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \underline{ \sf - 414 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: } \\ \sf{031 \red{←Remainder}} \\ [/tex]
[tex] \therefore \: \sf{Quotient = 149 \: and \: Remainder \: = 31} \\ [/tex]
[tex] \sf{Now,} \\ [/tex]
[tex] \sf{Divisor \times Quotient + Remainder } \\ [/tex]
[tex] \sf = 46 \times 149 + 31 \\ [/tex]
[tex] \sf = 6854 + 31 \\ [/tex]
[tex] \sf{ = 6885} \\ [/tex]
[tex] \sf = \red{ Dividend}. \\ [/tex]
one number is 6 more than the other number. also, 7 times the smaller number is equal to 6 times the larger number. find the two numbers.
Answer:
x = 36; y = 42
Step-by-step explanation:
x+6 = y
7x = 6y
7x = 6(x+6)
7x = 6x+36
-6x -6x
x = 36
_________
y = 36+6
y = 42
_________
Help marking brainliest for who is right
Answer:
-4,-3 2/3, -1 2/3, -1/2, 2/3, 5 1/2
Step-by-step explanation:
Henry draws triangle FGH. Then, he translates that triangle to create triangle F'G'H'. The distance from F to F' is 4 centimeters. What is the length of sides GG'? a. 2 cm b. 3 cm c. 4 cm d. 6 cm
The length of sides GG' when the distance from FF' is 4 cm is also 4 cm.
A translation is a type of transformation that takes each point in a figure and slides it the same distance in the same direction.
When you perform translations, you slide a figure left or right, up or down. This means that, in the coordinate plane, the coordinates for the vertices of the figure will change.
It is given that Henry translates the ΔFGH to create ΔF'G'H'.
FF' = 4cm.
Translation is a rigid transformation. In translation, every point of the object must be moved by same distance and in the same direction.
In other words the distance between corresponding points are same.
GG' =?
Since G and G' are corresponding points, so
GG' = FF'
GG' = 4 cm
The length of GG' is 4 centimeters.
Hence, When the distance from FF' is 4 cm, the length of sides GG' is similarly 4 cm. so option C is the correct answer.
To learn more about Translation
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#SPJ1
HELP MME WITH THIS PLEASE
Answer:
0.84
Step-by-step explanation:
21/25 is equal to 0.84.
Hopefully this helps!
Brainliest please?
By which rule are these triangles congruent?
Answer:
S, S, S
Step-by-step explanation:
help help hep me sorry for like a million queestions
Answer:
1/12. Larger the disparity between numerator and the denominator (with the denominator the larger), the smaller the fraction!
A famous study examined the smoking habits of British doctors and whether or not the doctors developed various types of cancers. Participants responded to questionnaires about their smoking habits and health in 1951, 1957, 1966, and many more times all the way up to 2001. What type of observational study is this
Answer:
A prospective study
Step-by-step explanation:
A prospective study watches for outcomes, such as the development of a disease (in this case cancer). It also usually involves taking a group of subjects and watching them over a long period of time. The outcome of interest should be common between them (whether certain smoking habits lead to the development of cancer in British doctors).
The type of observational study is A prospective study.
We have given,
A famous study examined the smoking habits of British doctors and whether or not the doctors developed various types of cancers.
What is the development of disease?
It is the period before the disease begins to develop and provides the greatest opportunity for improving health.
A prospective study watches for outcomes, such as the development of a disease (in this case cancer).
It also involves taking a group of subjects and watching them over a long time period.
The outcome of interest should be common between them (whether certain smoking habits lead to the development of cancer in British doctors).
To learn more about the disease visit:
https://brainly.com/question/1382377
******Please help me help please help me ******
9514 1404 393
Answer:
y = 8
Step-by-step explanation:
If the variation is direct, any multiplier of the x-value will also multiply the y-value.
old value × -1 = new value
x: 4 × -1 = -4
y: -8 × -1 = 8
The new value of y is 8.
A department store sells shoes with an 70% markdown. If one pair of shoes is originally $148, then with the markdown, what is the new selling price for those shoes?
Answer:
$44.40
Step-by-step explanation:
100%-70%=30%
30/100x148=44.40 (discounted price)
Appreciate to be marked brainliest. Hope this helps!
PLEASE HELP
A. Anna's route is about 4 miles shorter than Alex's route, but he gets home about 20 minutes before she does because he
is traveling faster.
B. Anna's route is about the same length as Alex's route, but he will get home first because he is driving.
C. Alex's route is about the same length as Anna's route, but his stop for pizza allows Anna to get home about 30 minutes
before him
D. Alex's route is about 4 miles longer than Anna's route, but his stop for pizza allows Anna to get home just minutes before him
Answer:
A. Anna's route is about 4 miles shorter than Alex's route, but he gets home about 20 minutes before she does because he
is traveling faster.
Step-by-step explanation:
Distance word problems are a common type of algebra word problems. They involve a scenario in which you need to figure out how fast, how far, or how long one or more objects have traveled. These are often called train problems because one of the most famous types of distance problems involves finding out when two trains heading toward each other cross paths
While at School Brian had a math quiz every 6 days and a science quiz every four days. On February 15 he had both tests. Assuming no school days off when will he have both tests on the same day again.
HELP HURRY SUBTRACTION
Answer:
408, 250, and 4055 hope this helps
Which expression is equivalent to -19-11?
Answer:
uh lol can i get sum more context
Step-by-step explanation:
VWrite the cubic polynomial function f(x) in expanded form with zeros −6, −5, and −2, given that f(−1)=40
This is an interesting problem. The underlying solution is to solve a system of equations.
First we need to define what's a cubic polynomial function :
f(x) = [tex]ax^{3}+bx^{2}+cx+d[/tex], where a,b,c,d are constant values.
We assume from the problem that f(-1) = 40, and that the zeros of our unknown function are -6,-5 and -2.
This gives us a system of equation to solve :
[tex]-216a +36b-6c+d=0\\-125a+25b-5c+d=0\\-8a+4b-2c+d=0\\-a+b-c+d = 40\\[/tex]
Good luck
Under his cell phone plan, Alonso pays a flat cost of $53.50 per month and $3 per gigabyte. He wants to keep his bill at $59.80 per month. Write and solve an equation which can be used to determine gg, the number of gigabytes of data Alonso can use while staying within his budget.
Answer:
Alonso can use 2.1 gigabytes while staying within his budget.
Step-by-step explanation:
53.50 + 3x = 59.80
3x = 59.80 - 53.50
3x = 6.3
x = 6.3 ÷ 3
x = 2.1
Alonso can use 2.1 gigabytes while staying within his budget.
please help.... fast
Answer:
Napakadali lang sagutin nyan pre basic mangiba naman dapat Ang sagot ay SAS hopefully all
What is P55 ? 5 25 1 120
Answer:
120
Step-by-step explanation:
I took the test