Answer:
The number of each type in the pack is 5 of $0.45 comic books and 9 of $0.75 comic books
Step-by-step explanation:
A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.
Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied.
In this case, the unknowns or unknown variables are:
x: number of $ 0.45 comic books
y: number of $ 0.75 comic books
Jacques wants to make up packs of $0.45 comic books mixed with $0.75 ones to sell at $9.00 per pack. Then the equation that represents this situation is:
x*0.45 + y*0.75= 9
On the other side, the number of $0.45 comic books is 4 more than the number of $0.75 comic books. Then the equation that represents this situation is:
x+4=y
The system of equations to solve is:
[tex]\left \{ {{x*0.45+y*0.75=9} \atop {x+4=y}} \right.[/tex]
One way to solve a system of equations is the substitution method, which consists of solving one of the unknowns in one of the equations and substituting its value in the next.
In this case we directly replace the expression of the variable and of the second equation in the first:
x*0.45 + (x+4)*0.75= 9
Solving:
x*0.45 + 0.75*x + 4*0.75= 9
1.2*x + 3=9
1.2*x= 9-3
1.2*x= 6
x= 6÷ 1.2
x=5
Replacing this value in the expression x+4=y you get:
5 +4=y
9=y
The number of each type in the pack is 5 of $0.45 comic books and 9 of $0.75 comic books
An average person can type 2,4002,400 words per hour. Trista types at the same rate as the average person and made the double number line below to estimate how long it will take her to type her research paper. Using Trista's double number line, estimate how long it will take her to type her 1,400-word research paper.
Answer:
35 minutes
Step-by-step explanation:
Given that:
Trista:
Average word type per hour = 2400 words /hr
For Trista to type her 1400 word research paper ;
It will take 'h' hour
If
2400 words = 1 hour
1400 words = h
Cross multiply :
2400h = 1400
h = 1400 / 2400
h = 0.5833333 hr
To minutes, it will take :
0.5833333 * 60 = 35 minutes
Hence, it will take Trista 35 minutes or 0.5833333 to type her 1400 words research paper.
TRIANGLE CONGUENCE
I need help on a and b please ASAP if u can am failing math please help if u can
Step-by-step explanation:
John and his 3 friends decide to order food. The cost of one box of food is $x. If each boy purchases one box of food, what is the total cost? *z decreased by 3 as an algebraic expression is *How many terms does the following expression contain? 2x + 5y - 5State the value of 9x - 3y if x=2 and y=3 *State the constant in the expression: ab + 5 - 2c *
Your answer
State the variable in the expression: 5p + 3 *Tanya is n years old today. How old will she be in 5 years?16 more than thrice m as an algebraic expression is *State the coefficient in the expression: 3x - 7 *
Your answer
State the value of ab if a=3 and b=5 *State the value of 9x - 3y if x=2 and y=3 *John and his 3 friends decide to order food. The cost of one box of food is $x. If each boy purchases one box of food, what is the total cost? *Vertical jumpHead turning
Write and solve an inequality to find the values of x for which the perimeter of the rectangle is less than 136.
The diagram says x+4 on the top and x on the side
please help me solve this thanks
Answer: 4x+8<120
x<28
Step-by-step explanation:
As per the statement in the question, the inequality will be 4x + 8 < 136.
What is inequality?Inequalities are mathematical expressions where neither side is equal. In inequality, as opposed to equations, we compare the two values. Less than (or less than and equal to), larger than (or greater or equal to), or not similar to signs are used in place of the equal sign in between.
As per the instructions given in the question,
The length (l) of the rectangle = x+4
The width (w) of the rectangle = x
As per the formula of the perimeter, P:
P = 2 (l + w) (i)
Put the values in (i)
P = 2 (x + 4 + x)
P = 2x + 8 + 2x
P = 4x + 8
Then the inequality as per the statement in the question will be,
4x + 8 < 136.
To know more about inequality:
https://brainly.com/question/28823603
#SPJ2
PLEASEEE HELPPPPPP!!
Answer:
40c=120
Step-by-step explanation:
Students in a 6th grade class are raising money for an end-of-year camping trip. So far, they have raised $240. This is 2/5 of the cost of the trip. How much does the trip cost?
The aquarium opened at 8.00 am . In the first hour 140 people purchased admission tickets . In the second hour 25 % more people purchased admission tickets than the first hour . Each ticket cost 15.25 . What was the total amount of money paid for all the tickets purchased in the first two hours please help
Answer:
Total income= $4,083.75
Step-by-step explanation:
First, we need to calculate the total number of people that enter the aquarium in the first two hours.
1st hour= 140
2nd hour= 140*1.25= 175
Total number of people= 315
Now, we can determine the total amount of money earned:
Each ticket cost 15.25.
Total income= 315*15.25
Total income= $4,083.75
solve using a2 + b2 = c2
show the work please :)
Answer: 19.20937
Step-by-step explanation:
a2=15
b2=12
c2=?
a2+b2=c2
15(15)+12(12)= c2
225+ 144=c2
√369= √c2
≐19.20937 ft
3√41
You use 2 1/3 feet of string to make one bracelet. How many can you make with 10 1/2 feet of string?
find the area of the circle with a cirumfererference of 30pi write your solution in terms of pi
Answer:
225 pi
Step-by-step explanation:
2pi r=30pi
pi r =15pi
pi r2=225pi
225 pi
‼️please help ASAP.
Simplify sin2q cot2q.
Answer:
cos2q
Step-by-step explanation:
sin2q x cos2q/sin2q
= cos2q
Write a polynomial that represents the area of the inner circle. Write your amswer in terms of pi
Answer:
(x²+8x+16)π in²
Step-by-step explanation:
Since were not given the diagram of the circle. Let's assume the radius of inner circle is x+4
radius r = x+4
Area of the circle = πr²
Area of the circle = π(x+4)²
Area of the circle = π(x+4)(x+4)
Area of the circle =π(x²+4x+4x+16)
Area of the circle = π(x²+8x+16)
Area of the inner circle in terms of pi is (x²+8x+16)π in²
Volume of cylinder & cone ... Help me please
Answer:
The formula for the volume of a sphere is 4⁄3πr³. For a cylinder, the formula is πr²h. A cone is ⅓ the volume of a cylinder, or 1⁄3πr²h.
Mrs Jenkins buys a car for £3400.
She sells it for £3800.
Work out her percentage profit.
Answer:
%11.76
Step-by-step explanation:
400/3400x100 = 11.76
2 Which of the following fractions are equivalent to 2/4?
Answer:
1/2=2/4
Step-by-step explanation:
Please help me. Thank you!
Answer:
25
Step-by-step explanation:
I don't know the steps
Someone plz help me with this 2 questions I will give brainliest
(Look at the pictures)
Answer:
61 ounces
Step-by-step explanation:
1 pound = 16 ounces
8 pound 3 ounces = 8*16 + 3 = 128 +3 = 131 ounces
No Jesse's weight = 12 pounds = 12*16 = 192 ounces
Weight gained = 192 - 131 = 61 ounces
question is in the pic
Answer:
B. 68 dollars
Step-by-step explanation:
This option makes the most sense because in hour 2, the profit was 58. In hour 6, the profit was 126. Subtract 126 - 58 to find the rate of change and you get 68.
Hope it helps!
Which is more, 1,179 grams or 1 kilogram?
Answer: 1,179
Step-by-step explanation: because 1 kilogram = 1000 grams so the grams are more
Answer:
1,179 is more
Step-by-step explanation:
bcoz if we convert everything to kg then 1179 is 1.179kg
A middle school student reads 48 books in 31/3 years. Find the students reading rate in books per year
Answer: 14 2/5 books per year
Step-by-step explanation:
From the question, we are informed that a middle school student reads 48 books in 31/3 years. The students reading rate in books per year will be calculated as:
= Total books read / Number of years
= 48 ÷ 3 1/3
= 48 ÷ 10/3
= 48 × 3/10
= 144/10
= 14 2/5 books per year
-2(p - 1) = 15 HELPPP PLEASEE
Answer:
p = -6.5
Step-by-step explanation:
-2(p-1) = 15
p-1 = -7.5
p = -6.5
A whole number whose square root is an integer
Answer:
These are also called "Perfect Squares", and if you're asking what I think you're asking, the first 20 perfect squares are 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225, 256, 289, 324, 361 and 400.
Step-by-step explanation:
The possible integer square root are 0,1,2,3 and 4
Indicate the answer choice that best completes the statement or answers the question.
PRODUCTION A manufacturer produces 950 light bulbs per day.
Days, d
1
2
3
4
Bulbs, b
950
1,900
2,850
3,800
Use the equation to determine how many bulbs the manufacturer will make in 25 days.
Oa 23,750 bulbs
Ob. 38 bulbs
Oc. 24,700 bulbs
O d. 975 bulbs
Answer:
a - 23,750 bulbs
Step-by-step explanation:
950 x 25 = 23,750
ABOVE & BEYOND: What is the slope of the line graphed below?
Answer:
3
Step-by-step explanation:
An alarm rings 8 times in 5 seconds. What is the unit rate ,in rings per second?
The diameter of a circle is 40.0cm. What is the circumference of the circle?
Use 3.14 for pi
Help would really be appreciated bc I do not understand circles lol
Answer:
Answer is 125.6
Step-by-step explanation:
Diameter=40cm
radius=40÷2 = 20cm
Circumference = 2πr
=2×3.14×20
=125.6
Find the missing number to make these fractions equal.
3/4 = blank/8
Answer:
6/8
Step-by-step explanation:
You can multiply the denominator of 4 by two to get 8. But you need to do the same to the numerator, which gives you 6.
Answer:
6/8
Step-by-step explanation:
you multiply both numbers by 2
a pencil costs 16p and a rubber costs 23p. bob purchases 18 pencils and 12 rubbers. Calculate how much he spends
Answer:
564p
Step-by-step explanation:
I hope this helps you.
Kathy wants to paint the faces of her standard six-sided die so that each face is either red or blue. However, she does not want all of the faces to be the same color. How many ways are there for Kathy to paint her die?
Answer:
The number of ways Kathy can paint her die is 52 ways
Step-by-step explanation:
The permutation and combination related question is answered as follows;
The number of faces in the six-sided die = 6
The number of colors available for painting the six-sided die = 2 colors
Therefore, we have, the total number of ways Kathy can paint her die, 'n', given as follows;
n = ₆P₂ + 2₄P₄ + 2₄P₃ + ₄P₂
Where;
₆P₂ = The number of ways of arranging 2 objects in 6 spaces = 30
₄P₄ = The number of ways of arranging 4 objects in 4 spaces = 1
₄P₃ = The number of ways of arranging 3 objects in 4 spaces = 4
₄P₂ = The number of ways of arranging 2 objects in 4 spaces = 12
∴ n = 30 + 2×1 + 2×4 + 12 = 52
The number of ways Kathy can paint her die, n = 52 ways.
Click on the dot plot
PLSSSSSS HELPPPPPPP FAST WILL GIVE BRAINLIEST
Answer:
neither one of those are a dot plot
Step-by-step explanation:
Answer:
height of kids in class is the dot plot
Step-by-step explanation: