Answer: Krista put 0.40 in the first equation meant for the number of stamps
Step-by-step explanation: From the information available to Krista, she can determine the number of stamps that cost 40 cents and those that cost 55 cents. What she needs is a system of simultaneous equations both of which would use the total number of stamps and the total cost of stamps to determine the how many stamps cost 40 cents and how many costs 55 cents.
The system of equations should have been,
x + y = 45 ----------(1)
0.40x + 0.55y = 18.75 ----------(2)
From equation (1), let x be the subject of the equation and hence x = 45 - y
Substitute for the value of x into equation (2)
0.40(45 - y) + 0.55y = 18.75
18 - 0.40y + 0.55y = 18.75
Collect like terms and you now have
0.55y - 0.40y = 18.75 - 18
0.15y = 0.75
Divide both sides of the equation by 0.15
y = 5
When y has been calculated as 5, substitute for the value of y into equation (1)
x + y = 45
x + 5 = 45
x = 45 - 5
x = 40
The results show that the stamps that cost 0.40 cents (x) were 40 in number while those that cost 0.55 cents (y) were 5 in number.
This answer could not have been derived due to the mistake Krista committed when writing the equations.
Answer:
a
Step-by-step explanation:
Please help ASAP! Correct answer only! This assignment is due today.
A student has to choose an elective class for the last semester of high school. His counselor suggested 8 electives, 5 of which were dance classes.
If the student randomly chose to read about 4 of the electives, what is the probability that all of them are dance classes?
Write your answer as a decimal rounded to four decimal places.
Answer:
Probability ≈ 0.0714
Step-by-step explanation:
Consider permutation and combination;
[tex]Total Combinations - 8C4,\\8C4 = 8! / 4! * ( 8 - 4 )!,\\8 * 7 * 6 * 5 / 4!,\\\\Total Combinations = 70,\\\\Combinations of Dance Classes - 5C4,\\5C4 = 5! / 4! * ( 5 - 4 )!,\\5 * 4 * 3 * 2 * 1 / 4 * 3 * 2 * 1,\\\\Dance Classes = 5,\\\\Probability - 5 / 70 = 0.0714,\\Conclusion; Probability = ( About ) 0.0714[/tex]
Find the
a
circle
circumference of
whose
area is 616 cm
Answer: 88 cm
Step-by-step explanation:
The area of a circle is A=πr². Since we know the area, we can use find the radius, and use the radius to find the circumference,
616=πr²
196=r²
r=14
Now that we have the radius, we can use it to find the circumference. The formula for circumference is C=2πr.
C=2π(14)
C=28π
C=88 cm
Answer: 87.96 cm
Step-by-step explanation:
Radius = √a/π
=√616 / π = 14 cm
Circumference = 2πr
= 2 x π x 14
= 87.96 cm
asif has a bag of 58 sweets he gives 5 of his sweets to each of his 6 friends how many sweets does he have left
Answer:28 if I’m not mistaken
Step-by-step explanation:
Simplify
8c^3d^2
4cd^2
Answer:
[tex]2c^{2}[/tex]
Step-by-step explanation:
[tex]\frac{8c^33d^2}{4cd^2}[/tex]
[tex]\frac{2c^2d^0}{1}[/tex]
Answer:
[tex]2 {c}^{2} [/tex]
Step-by-step explanation:
[tex] \frac{8 {c}^{3} {d}^{2} }{4 {c}^{1} {d}^{2} } \\ = 2 {c}^{3 - 1} {d}^{2 - 2} \\ = 2 {c}^{2} {d}^{0} [/tex]
we know that,
[tex] {d}^{0} = 1[/tex]
so,
[tex] = 2 {c}^{2} {d}^{0} \\ = 2 \times {c}^{2} \times 1 \\ = 2 {c}^{2} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Direct Variation: If y = 9, when x = -3, find x when y = -27. a.9 b.27 c.-27 d,-9
Answer:
a. 9
Step-by-step explanation:
[tex]k = \frac{9}{-3} = -3\\y = -3x\\-27 = -3x\\\frac{-27}{-3} = \frac{-3x}{-3} \\9 = x[/tex]
Answer:
a. 9
Step-by-step explanation:
because the orginal number was 9 and the newer one is -27 we can determine that y was multiplied by -3 so you would apply the same rule to -3 or x and you would get a product of 9 because two negatives equals a postive
Please help. How can this set be expressed using inequalities?
Answer:
Its the first one
Step-by-step explanation:
10 and x is Greater than -2
Complete the following: 2197 is the CUBE root of ______
Plzzzz help fast !!
One month Chris Rented 3 movies and 2 video games for a total of $15 . the next month he rented 8 movies and 4 video games for a total of $33. find the rental cost for each movie and each video game
Answer:
Both are a total of $3
Step-by-step explanation:
Because if you add 3+2= 5 and then you divided; 15÷5= 3, then you add 8+4=12, and you do the same like the other; 33÷12= 2.75 and if you round it, the answer will be 3.
So in conclusion both the movies and the video games are $3
if f(x)=1/2x-2 what is f(14)
Answer:
Hi there!
The correct answer is: 5
Step-by-step explanation:
Essentially they replace x with 14, so all you have to do is plug 14 into the equation. 14 multiplied by 1/2 is 7, because it's the same thing as 14 divided by 2. Then you minus 2 from 7, and you get 5.
What is the following product? StartRoot 10 EndRoot times StartRoot 10 EndRoot
Answer:
it's 10
Step-by-step explanation:
i searched it up.
Which number is irrational?
-4
2/9
8.26
11
Answer:
C. Square Root of 11
Edg 2020
Answer:
C
Step-by-step explanation:
edge 2020
help me please i need this done
Answer:
[tex]7n-6, \: 4n+8[/tex]
Step-by-step explanation:
[tex]+7[/tex] difference.
So it becomes [tex]7n[/tex].
[tex]7(1)+c=1[/tex]
[tex]c=-6[/tex]
Therefore, the nth term becomes:
[tex]7n-6[/tex]
[tex]+4[/tex] difference.
So it becomes [tex]4n[/tex].
[tex]4(1)+c=12[/tex]
[tex]c=8[/tex]
Therefore, the nth term becomes:
[tex]4n+8[/tex]
Answer:
a) 7n-6
b) 4n+8
Explanation:
a) 7 times tables but take away 6 for the start
b) 4 times tables but add 8 for the start
25 Uma conta de gás, no valor de R$ 48,00, com
vencimento para 13 de abril, trazia a seguinte
informação: "Se a conta for paga após o venci-
mento, incidirão sobre o seu valor multa de 2%
e juros de 0,033% ao dia, que serão incluídos na
conta futura".
Qual será o acréscimo a ser pago sobre o valor da
próxima conta por um consumidor que quitou o
débito em 17 de abril? E se ele tivesse atrasado
o dobro do número de dias para
Answer:
R$49.02
R$49.09
Step-by-step explanation:
Por não pagar a conta em dia, o valor de 2% de juros foi adicionado, o novo valor base passa a ser:
[tex]V = 1.02*48\\V=R\$48.96[/tex]
O valor a ser pago n dias após o dia 13 de abril é dado por:
[tex]P=48.96*(1+\frac{0.033}{100} )^n[/tex]
No dia 17 de abril, n =4 e o valor a ser pago é:
[tex]P=48.96*(1+\frac{0.033}{100} )^4\\P=R\$49.02[/tex]
Caso n =8, o valor a ser pago seria:
[tex]P=48.96*(1+\frac{0.033}{100} )^8\\P=R\$49.09[/tex]
Hey if you could help me with this it'd mean a lot I can't figure it out
L+S=17
3L+2S=46
What is S and what is L?
Answer:
L = 12 S = 5
Step-by-step explanation:
L+S=17
3L+2S=46
Multiply the first equation by -2
-2L -2S = -34
Then add it to the second equation
-2L -2S = -34
3L+2S=46
------------------
L = 12
Now we can find S
L+S = 17
12 + S = 17
Subtract 12 from each side
S = 17-12
S = 5
Using this figure A’ is the______Of A.
Answer:
Reflection
Step-by-step explanation:
Figure A' is the reflection of A as it is reflected from A'
In Need OF HELP !!!!!!!!
Which relationship describes angles 1 and 2?
Select each correct answer.
supplementary angles
vertical angles
complementary angles
adjacent angles
Answer:
Supplementary angles
Adjacent angles
Step-by-step explanation:
They add up to a straight line, which is 180 degrees, therefore they are supplementary.
They also share a side and the corner point, hence adjacent.
Answer: A,D Supplementary Angles
Adjacent Angles
Step-by-step explanation: K12 3.04 test
find the volume with the explanation if possible <3
Answer: 905 cu. in.
Step-by-step explanation:
volume = (4/3) * π * r³
= (4/3) * π * 216
Which of these triangles appears not to be congruent to any others shown
here? Check all that apply.
A
B
C
D
E
F A. Triangle A
B. Triangle B
C. Triangle C
D. Triangle D
E Triangle E
F. Triangle F
Answer:
Options (B) and (D)
Step-by-step explanation:
If two triangles have the same size and shape they are said to be congruent triangles.
Triangles given in the attachment,
Triangles A and E appear to be congruent.
And triangles C and F appear to be congruent.
[Since corresponding sides of these triangles don't appear to be the same in measure]
Remaining triangles B and D do not appear to be congruent.
Therefore, Options (B) and (D) will be the answer.
How can properties of linear pairs and vertical angles help determine the angle measures created by the intersecting lines?
Answer:
Linear pairs are adjacent angles that are supplementary. Their measures add to 180 deg. Vertical angles are congruent. Let's say two lines intersect, and you know the measure of one of the 4 angles that were formed.
Step-by-step explanation:
If mr. burts spent $3.87 on grapes from kroger and bought 3.05 pound,How much was each pound? A)1.25 B)$2.80 C)$ PLZ HURRY
Answer:
A) $1.25
Step-by-step explanation:
If you divide the 3.87 by 3.05 you will approximately get 1.25
A trail mix contains peanuts raisins and m&ms in the mix the amount of peanuts is three times the amount of m&ms;and the amount of raisins is two times the amount of m&ms.let m represent the amount of m&ms.write and simplify an expression for the total number of pieces of food in the trail mix
Answer:
6m
Step-by-step explanation:
m =number of M&M's
3m=number of peanuts
2m=number of raisins
m+3m+2m=total number of pieces of food=6m
What's the chance of NOT rolling a seven using a pair of dice.
Answer:
5/6
Step-by-step explanation:
total possible = 36
Favorable = 6
1 6
6 1
2 4
4 2
3 4
4 3
Part/whole
6/36
= 1/6
NOT = 5/6
Which of the following options represents a logical first step that can be used
to prove the trigonometric identity
cos(x)/ cos(x)+sin(x)tan(x)=cos^2(x)?
Answer: Option B.
Step-by-step explanation:
Here we can start with the relation
cos(x)^2 + sin(x)^2 = 1
multiply both sides by cos(x)
cos(x) = cos(x)^3 + sin(x)^2*cos(x) = cos(x)^2*(cos(xI + sin(x)^2/cos(x))
now we can replace sin(x)/cos(x) = tg(x)
cos(x) = cos(x)^2*(cos(x) + sin(x)*tan(x))
So the correct option is B
What is the equation for the graph shown?
Answer:
y = -2x + 6Step-by-step explanation:
The graph is a line Then it has an equation of the form : y = my + p
where m is the slope and p is the y-intercept.
the line crosses the y-axis at the point (0,6) then
p = 6
the line is going down then
m is negative
the only provided equation that verify: m < 0 and p = 6 is y = -2x + 6
Answer:
y = -2x + 6
Step-by-step explanation:
What is the slope of the line in the graph?
Answer:
-3/2
Step-by-step explanation:
Take any two points on the line and calculate the slope using the formula
(y2-y1) / (x2-x1) and you should get your slope.
One more question that is very similar to the last problem. I am confused on how to solve the powers in both the numerator and the denominator. Do you think you could help me?
[tex]answer \\ = \frac{4}{25} \\ please \: see \: the \: attached \: picture \\ for \: full \: solution \\ hope \: it \: helps[/tex]
no jk drtyguhiytr5tyguhigyft fyguhijk
Answer:
1232
Step-by-step explanation:
13/91= 176/x
1/7=176/x
x= 176*7
x= 1232 bass
In the diagram above, <1 = 135º.
Find the measure of <3.
Answer:
The measurement of ∠3 is 135°
Step-by-step explanation:
In the problem, we are given a measurement. The measurement of ∠1 is 135°. We are asked to find the measurement of ∠3.
∠1 and ∠3 are corresponding angles. This means that they will have the same measurements.
So, if m∠1 is 135° then the m∠3 is also 135°
Answer:
m∠=135°
Step-by-step explanation:
These lines are parallel lines, which is indicated by the two arrows towards the right of the lines.
Since these lines are parallel, corresponding angles, such as ∠1 and ∠3 can exist.
Corresponding angles are congruent, which means they have the same measure.
∠1 and ∠3 are corresponding angles, therefore
∠1=∠3
We know that the measure of ∠1 is 135 degrees. Therefore, ∠3 will also have a measure of 135 degrees.
135=∠3
The measure of ∠3 is 135 degrees.
What is the surface area of the rectangular pyramid below?
A. 363 units2
B. 484 units2
C. 1026 units2
D. 242 units2
Answer:
Option (A). 363 units²
Step-by-step explanation:
Surface area of the rectangular pyramid = Area of the rectangular base + Area of the lateral sides of the pyramid
Area of the rectangular base = Length × Width
= 11 × 11
= 121 units²
Area of the lateral sides = 4(Area of one lateral side)
= 4[[tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]]
= 2(11)(11)
= 242 square units
Area of the rectangular pyramid = 121 + 242
= 363 square units
Therefore, Option (A) will be the answer.
