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
(GIVING BRAINLIEST!!!)
0.5 g of salt is equal to how many milligrams?
Show all of your calculations.
Answer:
500 mg
Step-by-step explanation:
K H D B D C M (Kilo, Hecto, Deka, Base [meters, grams, etc.] Deci, Centi, Milli)
since you're using grams substitute G for B
K H D G D C M
you have 0.5 grams of salt, which will be G for grams. you want to convert it to milligrams, which is M. you will move the decimal over 3 spots in order to get from G to M, therefore you go from 0.5 grams to 500 milligrams. I hope this is helpful!
Help!!!!!!!!!!!!!!!!!!!!!
After a 12% increase the cost of a new cooker is £190.40
Work out the original price of the cooker.
Answer:
1
X+.12*x=190.40
X(1+.12)=190.40
X=190.40/1.12=170
2a
X+x+25=100
2x=75
X=37.5%
Men=.375*270=101
2b
The graph shows two linear functions, f and g. Which formula BEST represents g(x)?
A)g(x) = 2f(x)
B)g(x) = 3f(x)
C)g(x) = 1/2f(x)
D)g(x) = 3/2f(x)
Answer: C
g(x) = 1/2 f (x)
Step-by-step explanation:
Answer:
Step-by-step explanation:
c
PLease answer this question
Answer:
b- 43%
Step-by-step explanation:
being technical its 42.857142857143% but assuming its round up it would be 43%
Answer:
c. 30%Step-by-step explanation:
Number of the trees:
12 + 28 = 40Number of infected is 12, so the percent of infected is:
12/40*100% = 30%ou just purchased a brand new car for $45,000. The car depreciates by about 7% each year.
Which expression shows the value of the car in x years.
y=45,000(0.93)xy is equal to 45 comma 000 times 0 point 9 3 to the x th power
y=45,000(0.97)xy is equal to 45 comma 000 times 0 point 9 7 to the x th power
y=45,000(1.07)^xy=45,000( 1.0 7^x)
y=45,000(1.7)^x
expand and simplify
(y + 2) (y-2)
What features do all right trlangles have in common?
Answer:
all right trigangles must have a 90 degress angle
Step-by-step explanation:
no
Math can anyone help me
Answer:
C. [tex]\frac{4}{10}[/tex] and [tex]\frac{10}{25}[/tex]
Step-by-step explanation:
The proportion between these fractions is true. Multiply 4/10 (numerator and denominator) by 2.5 to get 10/25. This is the only correct option.
Hope it helps!
4x = 44
PLease help UNDEN
Answer:
x= 11
Step-by-step explanation:
Pick out the solution from the values given in the bracket next to each equation. Show that the other values do not satisfy the equation. a. X + 12 = 20 ( 12,8,20,0) b. P - 4 = 0 (4,-4,8,0) c. 2y - 3 = 7 (0,3,5,7) Plz explain ;)
Answer:
(a) 8
(b) 4
(c)5
Step-by-step explanation:
We are given multiple parts and we need to provide the correct answer among the given options, also we need to prove that rest of the answers are wrong.
(a). X + 12 = 20 ( 12,8,20,0)
X= 20 -12
X= 8, so only 8 is the correct answer and rest are wrong.
Proof: lets take other given options into consideration
X= 12
X+12 =12+ 24 which is wrong because X+12 is already given as 20.
similarly,
X=20
X+12 = 20+12 = 36, which is wrong because X+12 is already given as 20.
X= 0
X+12 = 0+12 = 12, which is wrong because X+12 is already given as 20.
(b). P - 4 = 0 (4,-4,8,0)
P-4 = 0
P= 4, So only 4 will give the correct answer and not the other options.
P= -4 = -4 -4 = -8, which is wrong because P-4 is is already given as 0.
similarly,
P = 8 = 8-4 = 4, which is wrong because P-4 is is already given as 0.
P = 0, 0-4 = -4 , which is wrong because P-4 is is already given as 0.
(c). 2y - 3 = 7 (0,3,5,7)
2y = 7 + 3
2y = 10
y = 5, only 5 will satisfy this given equation and rest will be wrong,
y = 0
2y-3 = 7
2(0) - 3 = 7
-3 = 7 which is not correct as LHS and RHS must be same.
similarly,
y = 3
2y-3=7
2(3) - 3 =7
6-3 = 7
3=7 which is again wrong.
y = 7
2(7) -3 =7
14-3 = 7
11=7, which is wrong.
Therefore the given options for the correct answers is verified and the wrong answers are given as the proof.
5/6 7/12 and 7/10 from least to greatest
Answer:
7/12, 7/10, 5/6
Step-by-step explanation:
Answer:
7/12, 5/6, 7/10
Step-by-step explanation:
Just change it to decimal point it will be easier
Solve this system of equations:
y=-3x + 13
y=-2x + 1
Enter your answer as an ordered pair (x, y).
Answer:
The answer is (12,-23)
The sum of two numbers is 52. The difference between the same two numbers is 6. Find the two numbers, and then find the PRODUCT of the two numbers.
Intitled Granh
Answer:
its 10
Step-by-step explanation:
Answer:
Let Two Numbers be=x and y
Sum of two Numbers=52
X+Y=52
X=52-Y. (Equation 1)
Difference=2
X-Y=2
.Putting Value of X=52-Y
52-Y-Y=2
52-2y=2
52-2=2y
50=2y
y=50÷2
y=25
We Get Y=25
X=52-Y
X=52-25
X=27
Prove
X+Y=52
27+25=52
X-Y=2
27-25=2
X=27
Y=25
Numbers=27,25
Step-by-step explanation:
:)
Given two concentric circles (circles that have the same center point), with the inner circle having a radius of 1 r and the outer one having a radius of 2 r as shown, give a dilation that would map the inner circle onto the outer circle.
Answer:
(x, y) ⇒ (2x, 2y)
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.
Dilation is the increase or decrease in size of a figure. If a figure with point A(x, y) is dilated by a scale factor of k, the new location is at A'(kx, ky). If k > 1, it is an enlargement and if k < 1, it is a reduction.
Given that the inner circle has a radius of 1 r and the outer one has a radius of 2 r. To map the inner circle onto the outer circle, the inner circle would need to be enlarged. The scale factor is:
k = outer circle radius / inner circle radius = 2r / 1r = 2
A dilation with a scale factor of 2 would be needed to map the inner circle onto the outer circle.
That is:
(x, y) ⇒ (kx, ky)
The dilation should be (x, y) ⇒ (2x, 2y)
What is transformation and dilation:Transformation refers to the point movement that starts from beginning location to the new location. The dilation refers to the increment or decrement of the figure size.
Here,
The scale factor should be calculated by dividing the outer circle radius from the inner circle radius
[tex]= 2r\div 1r[/tex]
= 2
Therefore, The dilation should be (x, y) ⇒ (2x, 2y)
Learn more about radius here: https://brainly.com/question/5525937
The following table contains the rate of commission, number of items sold,
and cost of each item for four different salespeople.
Salesperson
Rate of
commision
Number of
items sold
Cost of
each item
Felix
7.25%
9
$60
Helen
7.50%
12
$50
Reid
8.25%
10
$40
Sidney
7.75%
6
$90
Assuming that each salesperson earned commission on all items he or she
sold, who earned the most in commission?
Answer:
Helen
Step-by-step explanation:
Just did test
Both Felix and Sidney earned the same amount of commission, which is $39.15.
Helen earned the most commission, which is $45.00.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
To calculate the commission earned by each salesperson, we need to multiply the rate of commission by the total sales amount.
The total sales amount is the product of the number of items sold and the cost of each item.
For Felix:
Commission = (Rate of commission) x (Total sales amount)
= 7.25% x (9 x $60)
= $39.15
For Helen:
Commission = (Rate of commission) x (Total sales amount)
= 7.50% x (12 x $50)
= $45.00
For Reid:
Commission = (Rate of commission) x (Total sales amount)
= 8.25% x (10 x $40)
= $33.00
For Sidney:
Commission = (Rate of commission) x (Total sales amount)
= 7.75% x (6 x $90)
= $39.15
Therefore,
Both Felix and Sidney earned the same amount of commission, which is $39.15.
Helen earned the most commission, which is $45.00.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ7
A rectangular field measures 400yds x 600yds. Find the length of the diagonal of the field.
HELLLLP MEH, WILL MARK BRAINLIEST, NEED ALL Q'S ANSWERED
Answer:
1. is 4
2. is 3
3. is 10
4. is 13
Step-by-step explanation:
Hope this helpss!!
The membership in the Lego Club decreased from 120 members in August to 82 members in October. What was the percent decrease from August to October?
Type your answer using the % key. Round to the nearest whole percentage if necessary.
Answer:
72% decrease I...guess?
120 members-60 members=50%
-70 should be approx=60%
-80 should be approx=70%
so 80 is around 70%, so I'd say 82 is 72%
I'm most likely wrong but i dunno maybe im right
Step-by-step explanation:
Answer:
32%
Step-by-step explanation:
((120 - 82) / 120) x 100 = 31.66 %
31.66% to the nearest whole percentage is 32%
If it takes 5 1/4 minutes to make one cut through a log, how long will it take to cut a 5 ft log into 5 equal pieces?
Answer:
try 30 1/4
Step-by-step explanation:
Find the Area of the Figure. Do not type in the units.
a 5/18
b 1/2
c 5/9
d 9/10
Answer:It should be 5/9 as its the only one that is probable,
Step-by-step explanation:
If its not 1/2 its not 9/10 so that automautically declines 2 answers leaving 5/18 and 5/9. And 5/18 is way to little for a 36 to 20 ratio, so that leaves 5/9.
Smart ppl please help meee
Answer:
The reason why the area is 2a+3a+4a is because ax2=2a ax3=3a and ax4=4a know we know each segment so after that you add the segments to get the are equation which is 2a+3a+4a.
The reason why the area is also (2+3+4)a is because you just factored the orginial equation and if you use the distributive property they equal the same.
Step-by-step explanation:
If this answer helped you then please consider liking this and marking it as brainliest :)
HELP ASAP!!!
Use Pythagorean Theorem to solve. Round to the nearest tenth •
33 cm
х
55 cm
Answer:
x= 44 cm
Step-by-step explanation:
[tex] {55}^{2} = {33}^{2} + {x}^{2} \\ {x}^{2} = 3025 - 1089 \\ {x}^{2} = 1936 \\ x = \sqrt{1936} = 44[/tex]
please help me i would really like the help
Answer:
HL
Step-by-step explanation:
Since the ray BD bisects angle ABC, we know angle ABD and angle CBD are congruent through the definition of an angle bisector. Segment AD and segment CD are also congruent because they are equidistant from the bisector. Lastly, segment BD is congruent to segment BD through the reflexive property of equality. This gives the triangles congruency through HL theorem.
[tex]\frac{\sqrt[3]{60} }{\sqrt[3]{36} }[/tex]
-11 -z
evaluate the expression if x=-8 , y=7 , and z=-11
Answer:
-8-(-11)-7
= -8+11-7
= 3-7
= -4
Step-by-step explanation:
How much more paper is used for the label of the large can of tomato paste than for the label of the small can?
Answer:
23.57
Step-by-step explanation:
small can surface area - 25.13
big can surface area - 56.55
small can paper - (25.13-6.28) = 18.85
big can paper - (56.55-14.14) = 42.41
diffrence - 42.42 - 18.85 = 23.57
The sum of the first n consecutive even numbers can be found using S=n2+n, where n≥2. What is the value of n when the sum is 42?
Question 8 options:
7
14
6
3
Answer:
C. 6Step-by-step explanation:
Given
S = n² + nS = 42, n = ?Substitute and solve for n:
42 = n² + nn² + 2*1/2n + 1/4 = 42.25(n + 0.5)² = 42.25n + 0.5 = √42.25n + 0.5 = 6.5n = 6Correct option is C
Answer:
C. 6
Step-by-step explanation:
find the surface area
Answer: 24
Step-by-step explanation:
to find the surface area of a cube use its formula
A = 6 * a^2
A = 6 * 2^2
A = 6 * 4
A = 24