Answer:
A mango costs $4.68, a coke costs $1.56 and a taco costs $4.25
Step-by-step explanation:
Given
Represent Tacos with T, Coke with C and Mango with M
For Grace:
[tex]2T + C + M = 14.74[/tex] --- (1)
For Mia:
[tex]5T + 2C + M = 29.05[/tex] -- (2)
[tex]M = 3C[/tex]
Required
Determine the cost of each item
Substitute 3C for M in (1) & (2)
[tex]2T + C + M = 14.74[/tex]
[tex]2T + C + 3C = 14.74[/tex]
[tex]2T + 4C = 14.74[/tex] --- (4)
[tex]5T + 2C + M = 29.05[/tex]
[tex]5T + 2C + 3C = 29.05[/tex]
[tex]5T + 5C = 29.05[/tex] --- (5)
Divide through (5) by 5
[tex]T + C = 5.81[/tex]
Solve for C
[tex]C= 5.81 - T[/tex]
Substitute 5.81 - T for C in (4)
[tex]2T + 4C = 14.74[/tex]
[tex]2T + 4(5.81 - T) = 14.74[/tex]
[tex]2T + 23.24 - 4T = 14.74[/tex]
Collect Like Terms
[tex]2T - 4T = 14.74 - 23.24[/tex]
[tex]-2T= -8.5[/tex]
Solve for T
[tex]T = -8.5/-2[/tex]
[tex]T = 4.25[/tex]
Recall that:
[tex]C= 5.81 - T[/tex]
[tex]C = 5.81 - 4.25[/tex]
[tex]C = 1.56[/tex]
Recall that
[tex]M = 3C[/tex]
[tex]M = 3 * 1.56[/tex]
[tex]M = 4.68[/tex]
Hence:
A mango costs $4.68, a coke costs $1.56 and a taco costs $4.25
Tangle ABC is dilated to create triangle ABC using
point as the center of cilation
What is the scale factor of the dilation?
9
3
B
Answer:
scale factor = 4
Step-by-step explanation:
The scale factor is the ratio of OA' to OA , that is
scale factor = [tex]\frac{OA'}{OA}[/tex] = [tex]\frac{3+9}{3}[/tex] = [tex]\frac{12}{3}[/tex] = 4
The sum of two numbers is 65 and the difference of those two numbers is -18
Answer:
41.5
23.5
Step-by-step explanation:
Let's start by calling the two numbers we are looking for x and y.
The sum of x and y is 65. In other words, x plus y equals 65 and can be written as equation A:
x + y = 65
The difference between x and y is -18. In other words, x minus y equals -18 and can be written as equation B:
x - y = -18
Now solve equation B for x to get the revised equation B:
x = -18 + y
Then substitute x in equation A from the revised equation B and then solve for y:
x + y = 65
-18+y+y=65
-18 + 2y = 65
2y = 83
y = 41.5
Now we know y is 41.5. Which means that we can substitute y for 41.5 in equation A and solve for x:
x + y = 65
x + 41.5= 65
X = 23.5
DIfference : 23.5 - 41.5 = 18
Sum: 41.5 +23.5 = 65
Hence, The two number are 23.5 and 41.5
[RevyBreeze]
Need help please will mark the right answer
Answer:
its the second one
Step-by-step explanation:
What is
6÷3751 = ?
I WILL GIVE 29 POINTS. PLEASE I WILL FAIL THE 3RD GRADE
Answer:
.0015995734
Step-by-step explanation:
6 divided by 3,751 is the solution above. please mark as brainlest.
Answer:
625 r1
Step-by-step explanation:
3751÷6=625
625×6=3750+1=3751
What is the PERIMETER of a square with side length 3 cm?
Answer:
12
Step-by-step explanation:
Perimeter is using addition and if its a square, all of the sides are the same.
If one side = 3 cm, then 3cm + 3cm + 3cm + 3cm=12 cm
Answer:
12
Step-by-step explanation:
A square with 3cm long side
Area = 2 sides multiplied
Perimeter = All sides added
3 + 3 + 3 + 3 = 12cm
or
3 × 4 = 12cm
If using the method of completing the square to solve the quadratic equation
x2 -9x + 2 = 0, which number would have to be added to "complete the square"?
Answer:
Add the square of half of the coefficient of [tex]x[/tex] to both sides
[tex]\left(-\dfrac92\right)^2=\dfrac{81}{4}[/tex]
Completing the square:
Rewrite [tex]x^2-9x+2=0[/tex] in the form [tex]y=(x-b)^2 +c[/tex]
Add the square of half of the coefficient of [tex]x[/tex] to both sides:
[tex]\implies x^2-9x+2+\left(-\dfrac92\right)^2=\left(-\dfrac92\right)^2[/tex]
[tex]\implies x^2-9x+2+\dfrac{81}{4}=\dfrac{81}{4}[/tex]
[tex]\implies\left(x-\dfrac92\right)^2 +2=\dfrac{81}{4}[/tex]
[tex]\implies\left(x-\dfrac92\right)^2 +2-\dfrac{81}{4}=0[/tex]
[tex]\implies\left(x-\dfrac92\right)^2 -\dfrac{73}{4}=0[/tex]
[tex]\implies\left(x-\dfrac92\right)^2 -\dfrac{73}{4}=0[/tex]
What value for a would make the equation true? Type in only the numerical answer or value.
Answer:
a = 3
Step-by-step explanation:
Here you can use the cross multiplication strategy or whatever it's called. That's where you multiply the diagonals together. Its kinda long to explain, but you can google it for details.
In either case, you get the following equation:
8(2a-1) = 4(a+7)
Open the parenthesis
16a - 8 = 4a + 28
Subtract 4a from both sides
12a - 8 = 28
Add 8 to both sides
12a = 36
Divide both sides by 12
a = 3
Sorry for weird formatting I'm on an ipad.
Answer:
Your answer is: A = 3
Solve for a by cross multiplying.
Step-by-step explanation:
Hope this helped : )
What is the number of the parking space covered by the car?
87
Step-by-step explanation:
the picture is upsidedown
What operation should be done first to solve 5x + 3 = 28?
Multiply by 5
Add 3
Subtract 3
Divide by 5
Answer:
Subtract 3
Step-by-step explanation:
The first operation that should be done first in the expression 5x + 3 = 28 is subtracting 3 from both sides.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, 5x + 3 = 28.
The first operation that should be done first is subtracting 3 to both the side of the equation to separate the variable x and the constant term.
∴ 5x + 3 - 3 = 28 - 3.
5x = 25.
x = 5.
learn more about numerical expression here :
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Sharon asks Alana to describe her goals and current spending habits. Does Alana respond in the following way?
Answer:
Step-by-step explanation:
Which ways?
What is the area of the figure below?
Answer:
Your answer is 27
Step-by-step explanation:
4 x 3 = 12
5 x 3 = 15
12 + 15 = 27
A lake has a 30-km long shoreline. 6% of it is sandy beach. What percentage of the shoreline is not sandy beach?
Find the length (in km) of the shoreline that is sandy beach
Answer:
94% not sandy beach
1.8km is sandy beach
Step-by-step explanation:
30 = 100%
÷ 100 both sides
0.3 = 1%
× 6 both sides
1.8 = 6%
4 pts
The polygons are similar, but not necessarily drawn to scale. Find the value of x.
6
16
y +1
12
21
24
32
O x = 9
O x = 10
X = 8
11
2
Check the picture below.
36 is 0.9% of what number
(not urgent
Answer: 4000
Step-by-step explanation:
If for example 5 is 1% of what number, you would multiply that by 100/1 and multiply that by 5.
For 36 is 0.9% of what number, you would multiply the 36 by 100/0.9 and multiply that by 36.
100/0.9 is 111.11 and 111.11 x 36 is 4000, so 4000 would be your answer.
find the missing length!! pls help meee!!! i need to show work and i’m marking brainliest!!!!!!
Answer:don’t know if it’s right but here
Step-by-step explanation: okay so first you need to know is that, that triangle it a 90 degrees so you put 90 degrees minus 45 it will equal to 45 because 45+45= 90 degrees but if the question says put degrees then put it if not then don’t put it.
Hope it helped
Answer:
n = 8, m = 11.313
Step-by-step explanation:
An endowment fund is set up with a donation of $110,000. If it earns 4.1% compounded monthly, fir how long will it sustain end of month withdrawals of $1300? Endowment for ________ years(s) and ________ months(s)
What is the square root of -1?
Answer:
i
I hope this helps!
(2, 4); perpendicular to y=1/2x+1
Step-by-step explanation:
use the respective formula and solve according to the image
Question in photo! (Please help with other questions!)
Answer:
a) [tex]a_{n}[/tex] = 13.8 + 0.2n
Step-by-step explanation:
Given :-
a = 14
d = 0.2
To Find :
[tex]a_{n}[/tex]
Solving :-
[tex]a_{n}[/tex] = a + (n - 1)d
[tex]a_{n}[/tex] = 14 + 0.2n - 0.2
[tex]a_{n}[/tex] = 0.2n + 13.8
Solution :-
a) [tex]a_{n}[/tex] = 13.8 + 0.2n
Please help‼️‼️‼️‼️‼️ Melanie plans to repaint some classroom bookcases.She has 1 7/8
gallons of paint. All of the bookcases are the same size and each requires 3/16 gallon of paint. How many bookcases will she be able to paint
Answer:
The custodian will be able to repaint 7 bookcases with the amount of paint.
Step-by-step explanation:
The custodian has 5 1/4 gallons of paint, to find the number of bookcases the custodian will be able to repaint with this amount of paint if each bookcase requires 3/4 gallons, then we will simply divide 5 1/4 by 3/4 to give us the number.
But first we need to change 5 1/4 to improper fraction,
thus; 5 1/4 =
5 1/4 ÷3/4 = ÷
(We will want to change the division sign to multiplication, to do that, we will have to take the inverse of 3/4 which is 4/3 hence;
= ×
4 will cancel out 4 hence;
=
= 7
Therefore the custodian will be able to repaint 7 bookcases with the amount of paint.
How does a 180-degree rotation about the origin change the coordinates of a shape?
Step-by-step explanation:
The Rotation of a point through 180°, about the origin when a point M (h, k) is rotated about the origin O through 180° in anticlockwise or clockwise direction, it takes the new position M' (-h, -k). ...I think.. Hope it is right...;3
Answer:
180 Degree Rotation
When rotating a point 180 degrees counterclockwise about the origin our point A(x,y) becomes A'(-x,-y).
Step-by-step explanation:
On average, what percentage of infants born to 45-year-old mothers have Down syndrome? 1% 3% 8% 10% 30%
Well knowing that around
at age 40 giving birth to a child with down syndrome is about 46% or 47%
but at age 45 I'm pretty sure it's 3%
Hope this helps!
Can you find the missing polynomial side length and type the correct code? Please remember to type in ALL CAPS with no spaces. 1: ? 2x2 + 8x - 10 3(x - 1) 2(x + 5) answer choices 2: A: B: C: X-3 X + 5 X-1 D: E: F: 3x2 + 15x - 18|||x + 1 x + 3x + 6 H: I: 3: x + 2x - 6x-5 4: Type the 4- 2x2 - 8x - 10 letter code into the answer 2(x + 1) box. All CAPS, no spaces. Puzzle-#2
The side lengths that make the area of rectangles as modelled are -
{ 1 } - (x + 2)
{ 2 } - (x - 5)
{ 3 } - (x + 3)
{ 4 } - (x - 1)
What is function?A function is a elation between a dependent and independent variable.
Given is to identify the correct side lengths of the figures.
We can write the side lengths as -
{ 1 } - (x + 2)
{ 2 } - (x - 5)
{ 3 } - (x + 3)
{ 4 } - (x - 1)
Therefore, the side lengths that make the area of rectangles as modelled are -
{ 1 } - (x + 2)
{ 2 } - (x - 5)
{ 3 } - (x + 3)
{ 4 } - (x - 1)
To solve more questions on functions, visit the link-
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A cube has a volume of 125 cubic inches. What is the length of each edge?
Enter your answer in the box.
Answer:
1.95
Step-by-step explanation:
The Alvarezes are trying to decide which of two catering companies to hire for their anniversary party. Marvelous Meals charges $700 plus $35 per person. Posh Parties charges $425 plus $50 per person. Both companies are known for their good food and excellent service, so the Alvarezes want to choose the caterer that will cost less. Write the equation to represent Marvelous Meals. *
Given :
Marvelous Meals charges $700 plus $35 per person. Posh Parties charges $425 plus $50 per person.
To Find :
Which company will cost less.
Solution :
Let, after x people Marvelous Meals charge less than Posh Parties :
So, 700 + 35x < 425 + 50x
275 < 15x
x > 18.33 i.e x > 18
Therefore, after 18 people Marvelous Meals charge less than Posh Parties.
Hence, this is the required solution.
a rectangular is drawn below its perimeter is 4.8 yards what is the measure of each side one side is 2m another side is M another side is 2 m another side is M
Answer with step-by-step explanation:
m = 0.8
Firstly, we have to see how many M's we are dividing. On the image, it shows 2m + 2m + m + m = 6m. Then, we divide 6 by 4.8, since is would give us the correct value of m. 4.8 ÷ 6 = 0.8.
Hope this was helpful! (brainliest please)
plot y=-3x+4 on the graph
Answer:
See photo below
I hope this helps!
all sets that pi belong to
Answer:
irrational numbers
pi belongs to the set of irrational numbers
What is the volume of a rectangular prism with a length of 1. 4 meters, a width of 0. 5 meter, and a height of 1. 8 meters? 7. 52 m³ 3. 7 m³ 2. 02 m³ 1. 26 m³.
The volume of the rectangular prism will be [tex]V=1.26m^{3}[/tex]
What will be the volume of the rectangular prism ?Given that
[tex]\rm Lenth \ of \ the \ rectangular \ prism =1.4\ m[/tex]
[tex]\rm width\ of \ prism=0.5\ m[/tex]
[tex]\rm Height \ of \ prism=1.8\ m[/tex]
[tex]\rm Volume \ of \ the \ Rectangular \ Prism= L\times W\times H[/tex]
[tex]V=1.4\times 0.5\times1.8=1.26 \ m^{3}[/tex]
Thus the volume of the rectangular prism will be [tex]V=1.26m^{3}[/tex]
To know more about the volume of the rectangular prism follow
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One of the solutions of the system of equations shown
in the graph has an x-value of -4. What is its
corresponding integer y-value?
5+
4-
3+
O-1
-3
2
3
-5443
1 2 3 4 5 X
-3
-5
Answer:
-3
Step-by-step explanation:
We are trying to find where the solution is for the systems of equations. This happens when the 2 graphs intersect.
We see that one of our intersection points is (-1, 0), or x = -1 and y = 0.
The other intersection point is (-4, -3), or x = -4 and y = -3.
Therefore, our answer is the 2nd option, -3.
Answer:
-3
Step-by-step explanation: