Answer:
Roberto paid $7.43 cents.
Step-by-step explanation:
1.65 times 4.5=7.425
I rounded 7.425 to 7.43 giving you your final answer.
Answer: $7.43
Step-by-step explanation: The easy way to do this with a calculator is 1.65 times 4.5 which is 7.425, estimated to $7.43. However, if you aren't allowed to use a calculator, you can just do 1.65 times 4.5 on paper for showing work. If you don't know how to times a decimal between a decimal, you can see how much money is per pound than times that by 4.5.
Robert wants to purchase a skateboard for $109.98. He will also have to pay a 6.5% sales tax,
a) How much did he pay in tax?
b) What is the total cost of the skateboard?
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Answer:
$117.13
Step-by-step explanation:
Hope this answers your question and have a great day!
A Florida juice company completes the preparation of its products by sterilizing, filling, and labeling bottles. Each case of orange juice requires 9 minutes for sterilizing, 6 minutes for filling, and 1 minute for labeling. Each case of grapefruit requires 4 minutes for filling, 10 minutes for sterilizing, and 2 minutes for labeling. Each case of tomato juice requires 1 minute for labeling, 4 minutes for filling, and 12 minutes for sterilizing. The company runs the sterilizing machine for 398 minutes, the filling machine for 164 minutes, and the labeling machine for 58 minutes, how many cases of each type of juice are prepared?
1. Carefully identify your variables and write the equations that need to be solved.
2. Solve the system by the Gauss-Jordan elimination method.
Answer:
1.
R= Number of orange juice cases.
G = Number of greapefruit juice cases.
T = Number of tomato juice cases.
Equations:
9R+10G+12T=398
6R+4G+4T=164
R+2G+T=58
2.
R=6
G=20
T=12
Step-by-step explanation:
1.
The problem is talking about three types of products and it wants us to find how many of each the factory prepares. Since this is the data we need to know, then we set them to be our variables:
R= Number of orange juice cases.
G = Number of greapefruit juice cases.
T = Number of tomato juice cases.
Next, we can use the provided information to build our equations. First, we start with the Sterilizing machine equation: 9 minutes for orange juice, 10 minutes for grape juice and 12 minutes for tomato juice. So we use the sterilizing values for each of the product, to build our first equation:
9R+10G+12T=398
next, we build the filling machine equation, so like on the previous equation, we use the provided data for filling to build the second equation:
6R+4G+4T=164
and finally we build the labeling machine equation so we get:
R+2G+T=58
so we need to solve the following system of equations:
9R+10G+12T=398
6R+4G+4T=164
R+2G+T=58
2.
The very first thing we need to do in order to solve this problem by using the Gauss-Jordan elimination method is to build our matrix based on the system of equations we got on the previous part.
[tex]\left[\begin{array}{cccc}9&10&12&398\\6&4&4&164\\1&2&1&58\\\end{array}\right][/tex]
The idea is to end up with an identity matrix on the first three columns, that will directly give us the answer to the system of equations. So we can start by dividing the first row into 9: [tex]\frac{R_{1}}{9}[/tex] So we get:
[tex]\left[\begin{array}{cccc}1&\frac{10}{9}&\frac{4}{3}&\frac{398}{9}\\6&4&4&164\\1&2&1&58\\\end{array}\right][/tex]
Next, we can multiply the first row by -6 and add it to the second row to get the new second row. [tex]-6R_{1}+R_{2}[/tex]
so we get:
-6 -20/3 -8 -796/3
6 4 4 164
---------------------------------
0 -8/3 -4 -304/3
our matrix now looks like this:
[tex]\left[\begin{array}{cccc}1&\frac{10}{9}&\frac{4}{3}&\frac{398}{9}\\0&-\frac{8}{3}&-4&-\frac{304}{3}\\1&2&1&58\\\end{array}\right][/tex]
Next, we can subtract R3 from R1 so we get:
1 10/9 4/3 398/9
-1 -2 -1 -58
------------------------------
0 -8/9 1/3 -124/9
So the matrix looks like this now:
[tex]\left[\begin{array}{cccc}1&\frac{10}{9}&\frac{4}{3}&\frac{398}{9}\\0&-\frac{8}{3}&-4&-\frac{304}{3}\\0&-\frac{8}{9}&\frac{1}{3}&-\frac{124}{9}\\\end{array}\right][/tex]
Now, we can multiply the second row by -3/8 so we get:
[tex]\left[\begin{array}{cccc}1&\frac{10}{9}&\frac{4}{3}&\frac{398}{9}\\0&1&\frac{3}{2}&38\\0&-\frac{8}{9}&\frac{1}{3}&-\frac{124}{9}\\\end{array}\right][/tex]
Now, we can subtract: [tex]R_{1}-\frac{10}{9}R_{2}[/tex] so we get:
0 -10/9 -5/3 -380/9
1 10/9 4/3 398/9
------------------------------
1 0 -1/3 2
So the matrix will now look like this:
[tex]\left[\begin{array}{cccc}1&0&-\frac{1}{3}&2\\0&1&\frac{3}{2}&38\\0&-\frac{8}{9}&\frac{1}{3}&-\frac{124}{9}\\\end{array}\right][/tex]
Next, we do the following operation: [tex]R_{3}+\frac{8}{9}R_{2}[/tex]
0 8/9 4/3 304/9
0 -8/9 1/3 -124/9
------------------------------
0 0 5/3 20
So our matrix will now look like this:
[tex]\left[\begin{array}{cccc}1&0&-\frac{1}{3}&2\\0&1&\frac{3}{2}&38\\0&0&\frac{5}{3}&20\\\end{array}\right][/tex]
We next multiply R3 by 3/5 so we get:
[tex]\left[\begin{array}{cccc}1&0&-\frac{1}{3}&2\\0&1&\frac{3}{2}&38\\0&0&1&12\\\end{array}\right][/tex]
and now we do: [tex]\frac{R_{3}}{3}+R_{1}[/tex]
0 0 1/3 4
1 0 -1/3 2
------------------------------
1 0 0 6
So our matrix will now look like this:
[tex]\left[\begin{array}{cccc}1&0&0&6\\0&1&\frac{3}{2}&38\\0&0&1&12\\\end{array}\right][/tex]
and now we do the following: [tex]R_{2}-\frac{3}{2}R_{3}[/tex]
so we get:
0 0 -3/2 -18
0 1 3/2 38
------------------------------
0 1 0 20
for our final matrix to be:
[tex]\left[\begin{array}{cccc}1&0&0&6\\0&1&0&20\\0&0&1&12\\\end{array}\right][/tex]
so now we can retrieve the corresponding answers:
R=6
G=20
T=12
Janelle invests in a piece of art that cost 600 British Pounds. A study found that art appreciates in value at a rate of 3.97% per year. Assuming this pattern continues, how much, in British Pounds, will Janelle's piece of art be valued at after 10 years? Round your answer to the hundredths place.
Enter your answer in the box.
British Pounds
Answer:
It will be worth about £885.59.
Step-by-step explanation:
The art piece originally costs £600.
And it appreciates at a rate of 3.97% each year.
And we want to find the value of the art after 10 years.
We can write an exponential function to model the situation. The standard exponential function is given by:
[tex]f(t)=a(r)^t[/tex]
Where t is the time in years.
Since it appreciates at a rate of 3.97% each year, the value after each year will be (100% + 3.97%) or 103.97%.
103.97% = 1.0397. So, r = 1.0397:
[tex]f(t)=a(1.0397)^t[/tex]
Our a is the initial value. Therefore:
[tex]f(t)=600(1.0397)^t[/tex]
Then the value of the piece of art after 10 years is:
[tex]f(t)=600(1.0397)^{10}=885.5879...\approx \pounds 885.59[/tex]
It will be worth about £885.59 after 10 years.
Answer:
885.59
Step-by-step explanation:
1. 600 + 23.82
2. 623.82 + 24.77
3. 648.59 +25.75
4. 674.34 + 26.77
5. 701.11 + 27.83
6. 728.94 + 28.94
7. 757.88 + 30.09
8. 787.97 + 31.28
9. 819.25 + 32.52
10. 851.77 + 33.82
After 10 years the art valued for 885.59 British Pounds.
Which expression is equivalent to
2x +3 - 3x + (-2)
A x + 5
B 12
12x - 1
x + 1
D 1 - 1
Answer:
-x + 1
Step-by-step explanation:
First, rewrite 2x +3 - 3x + (-2) as 2x +3 - 3x - 2. Note that +(-2) = -2.
Next, combine like terms. We get -x + 1.
Double check to determine whether this is one of the given possible answers.
i will give brainlest if u help me last one
Answer:
1) 22/20 = 1.1
2) 18/15 = 1.2
3) No, because they both are different values and their slopes are different.
Hope this helps :)
Brainliest?
HELP giving brainlest and more points
Answer:
2970
Step-by-step explanation:
I hope it helped :) if it didnt just message me since in confused whats the dot between the 6.3 and 10²
Answer:
2.97*10^3
Step-by-step explanation:
You have to solve it first so you have 2970 as your answer but you want it in scientific notation. To do this put the decimal after the first number this gives you 2.970. Whenever you need to make the number bigger you use a positive power and whenever you want to make a number smaller you use a negative power. The amount of powers the 10 gets is the amount of times you move it over. You have 2.970 and to get to the original number you need to move it 3 places to the right. Going to the right with your decimal makes it bigger which what you want, so you have 2.970*10^3 as your answer.
Can someone help me
Answer:
Pattern A starts at 0 and uses the rule Add 2
Pattern B starts at 0 and uses the rule Add 3.
hope this helps
LAST ONE!!! PLZ HELP!!
Answer:
x = 10°
y = 25°
Step-by-step explanation:
3x = 5x - 20 because they are alternate interior angles
subtract 5x from each side of the equation:
-2x = -20
Divide both sides by -2:
x = 10°
The sum of the interior angles of any triangle = 180°
2y + 4Y + (5x - 20) = 180°
combine like terms:
6y + 5x - 20 = 180°
add 20 to each side:
6y + 5x = 200°
substitute for x:
6y + 5(10) = 200°
subtract 50 from each side:
6y = 150°
divide both sides by 6:
y = 25°
Write (-0.6) (-0.6).(-0.6) using exponents
Answer:
(-0.6)^3
Step-by-step explanation:
Here, we want to write the given expression in exponential terms
From what we have, there is a repetitive term
For example, if we had;
(x)(x)(x)
Exponentially, we will have this written as x^3
Using the above technique in what we have at hand
(-0.6)(-0.6)(-0.6) = (-0.6)^3
16 divided by the square root of 4 over 2 squared
Answer:
[tex]\frac{16}{\sqrt[2]{4^{2} } } =16/4=4[/tex]
Step-by-step explanation:
Question 17(5 points)
Find the missing side lengths. Leave your answers as
radicals in simplest form.
60°
2V3
ZZ
A) u = 4, v= 2V3
C) u=2V2, v=2V3
B) u=2V2, v= 2
D) u = 4, y = 2
Answer:
D) u=4 , v=2
Step-by-step explanation:
This is as 60 30 90 triangle.
One leg is x
Second is x sqrt 3
The hypotenuse is x(2)
So hope that helps
5.)which of the following is the best example of pair of lines that are parallel?
A. con consecutive sides of a window
B. intersection intersection of roadways
C. really really railway lines crossing
D. two two opposite edges of a door
Answer:
D
Step-by-step explanation:
D because it is the only choice that obtains things that do not intersect or cross each other at some point. The doors would never cross, unlike the windows or roadways or railways.
So option D would be the best answer.
Test scores from Mr. Moore's 5th period class are given below.
91, 48, 86, 73, 86, 49, 77, 86, 64, 78, 64, 82, 68, 82, 72, 68, 82
Which of the following histogram correctly displays this data?
HELP PLEASEE
Answer: C :)
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
None of the test scores in the data, displays one of the test scores being 55, but 49 is the closest to 55, but it's closer to 45, so therefore, we know that there isn't any test scores with the grade of 55!
Teressa's Art and Nature students rented 10 aids for their Santa Monica Mountain Nature Hike. All the aids were Binoculars(B) and Mini Drones(D). Binoculars rent for $10 and Drones cost $24. The total cost for the rentals was $612.
A) write a unit equation for the number of visual arts?
B) write a money equation for the total amount?
c) solve for the number of Binoculars and Mini Drones?
D) How many hikers went on the trip if at least had a pair of Binoculars but 5 if them had both Binoculars and drones?
Please provide explanation
Answer:
27
Step-by-step explanation:
3^2*(2^3+4)
-------------------
2^2
Parentheses first
(2^3+4) = (8+4) = 12
Replace the parentheses
3^2*(12)
-------------------
2^2
Then Exponents
9*(12)
-------------------
4
Multiply
108
-----
4
Divide
27
8
6
5
3
2
DI
E
1
8 -7 -6 -6 -4 -3 -2 -1
12 13 4 5 6
-1
-2
O A. The two figures are congruent.
O B. The pre-image is in Quadrant I
O C. The orientation of the figure stayed the same.
O D. The transformation is a reflection
Answer:
answer is I'm guessing B.
Please answer correctly !!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
2
Step-by-step explanation:
The scale factor is 2 because every aspect of figure a doubled.
Answer:
2Step-by-step explanation:
Figure B is 2 times the size of figure A
You can tell by counting the squares at the lines
What is an equivalent form of log3 8?
log 8
log 3
log 8
Submit Answer
log 3
O 3 - log 8
O 8. log 3
Answer:
log 8
Step-by-step explanation:
help please thank you
Answer:
12 is the area of the triangle, 4 x 6 = 24 divided by 2 = 12.
7.5 x 6 = 45
For the rectangle
what are air and water called??
watir??
Answer:
aired water
Step-by-step explanation:
dunno sjdnsnwndnejeej hi
hello
What is a energy
[tex]51 + (19 + 46) = [/tex]
Answer:energy is such thing which cannot be created nor be destroyed but can be change from one form to another.
51+(19+46)=51+65=116 is your answer
Help !!! What is the equivalent exponential expression for the radical expression below
Answer:
A. [tex] \huge \purple { {(2 + 6)}^{ \frac{1}{2} } }[/tex]
Step-by-step explanation:
[tex] \huge \sqrt{2 + 6} \\ \\ \huge \red{= {(2 + 6)}^{ \frac{1}{2} } }[/tex]
having trouble please help me !!
Answer:
213
Step-by-step explanation:
Use the triangle area formula : [tex]\frac{1}{2}[/tex]×bh
b = length h = height
b = 14.8 + 5.2 h = 21.3
1) [tex]\frac{1}{2}[/tex] × (14.8 + 5.2) (21.3)
Add the numbers in the parenthesis.
2) [tex]\frac{1}{2}[/tex] × (20) (21.3)
Multiply the parenthesis.
3) [tex]\frac{1}{2}[/tex] × 426
Reduce the numbers with the greatest common factor: 2
4) 213
Find the area of square ABCD in which
diagonal BD=3√2cm
Answer:
area of square when given only diagonal is 1/2d×square so
1/2×3√2×3√2
=9 cm square
Step-by-step explanation:
A store bought a hand-crafted toy chest at a cost of $921.60 and marked it up 115%. Sebastian bought it and paid 2% sales tax. What was his total cost?
NO LINKS
Answer:
2,021.07
Step-by-step explanation:
Just because
Answer:
$927.84
Step-by-step explanation:
can someone please help me
Just need some help pls! : )
Answer:
B. 3
Step-by-step explanation:
Please help me i need to turn it in
Answer:
Step-by-step explanation:
2x2=4 divided by 2 =2
2x2=4
2x4=8
2+4+8=14
01. Apenas uma das matrizes abaixo é, ao mesmo tempo, quadrada, diagonal e identidade. Identifique-a: a[0,1,0,1]. B[1,0,0,1]. C[1,3,0,1]. D[1,1,1,1]. E[0,1,1,0]]
Responder:
b)
1 0
0 1
Explicação passo a passo:
Das opções fornecidas:
Todas as opções atendem à condição de uma matriz quadrada, pois todas têm o mesmo número de linhas e colunas (2 * 2)
Para ter uma matriz diagonal, todas as entradas fora da diagonal principal serão Zero.
Por outro lado, a matriz de identidade é um tipo especial de matriz quadrada com uma ao longo da diagonal principal.
Indo por essas condições apenas a matriz (b); atende às três condições.
1 point
14. consider the polynomial
p(x) = 2x“ – (m + 3)x – 1.
If p(x) is divisible by x-2 then m=
Answer:
If [tex]p(x)[/tex] is divisible by [tex]x-2[/tex], then [tex]m = \frac{1}{2}[/tex].
Step-by-step explanation:
Let [tex]p(x) = 2\cdot x^{2}-(m+3)\cdot x - 1[/tex], if [tex]p(x)[/tex] is divisible by [tex]x-2[/tex], then [tex]p(2) = 0[/tex]. That is:
[tex]2\cdot 2^{2}-(m+3)\cdot (2)-1 = 0[/tex]
[tex]8 - 2\cdot m -6 -1 = 0[/tex]
[tex]1 -2\cdot m = 0[/tex]
[tex]2\cdot m = 1[/tex]
[tex]m = \frac{1}{2}[/tex]
If [tex]p(x)[/tex] is divisible by [tex]x-2[/tex], then [tex]m = \frac{1}{2}[/tex].