Answer:
9 burritos and 18 tacos
Step-by-step explanation:
We can start this problem by assigning a variable to our unknowns.
Let's name x the number of burritos he buys.
The question states he buys half as many burritos as tacos.
Therefore, the number of tacos he bought is 2x.
Let's set up an equation.
(Cost of burrito)(number of burritos)+(Cost of taco)(number of tacos)=Total Cost
2.19x+1.29(2x)=42.93
Simplify
2.19x+2.58x=42.93
4.77x=42.93
x=9
Michael bought 9 burritos.
2*9=18
Michael bought 18 tacos.
Answer:
[tex] \displaystyle 18[/tex]
Step-by-step explanation:
we are given that,
tacos cost $1.29 burritos cost $2.19Michael spent a total of $42.93he purchased half as many burritos as tacoslet the number of tacos and burritos be t and b respectively
according to the 3rd condition we get:
[tex] \displaystyle 1.29t + 2.19b = 42.93[/tex]
according to the 4th condition we obtain:
[tex] \displaystyle t = 2b[/tex]
therefore our system of linear equation is
[tex]\begin{cases}\displaystyle t=2b \\ \displaystyle 1.29t + 2.19b = 42.93\end{cases}[/tex]
so now we end up with a system of linear equation in order to solve the equation we can consider substitution method
so substitute the value of t which yields:
[tex] \displaystyle 1.29 \cdot 2b+ 2.19b = 42.93[/tex]
simplify multiplication:
[tex] \displaystyle 2.58b+ 2.19b = 42.93[/tex]
since we have same variable we can consider the like terms:
[tex] \displaystyle 4.77b = 42.93[/tex]
divide both sides by 4.77:
[tex] \displaystyle \frac{4.77b }{4.77}= \frac{ 42.93}{4.77}[/tex]
reduce fraction:
[tex] \displaystyle \bcancel{ \frac{4.77b }{4.77}}= \cancel \frac{ \stackrel{ \large9}{ 42.93}}{4.77}[/tex]
[tex] \displaystyle b = 9[/tex]
now substitute the value of b:
[tex] \displaystyle t = 2.9[/tex]
simplify multiplication:
[tex] \displaystyle t =18[/tex]
hence,
he bought 18 tacos
expand expression (3x-7)(2x+7), without using long multiplication find 53×47
Answer:
6x² + 7x - 49
53×47 = 2491
Step-by-step explanation:
(3x-7)(2x+7)
6x² + 21x - 14x - 49
combine like terms:
6x² + 7x - 49
Find the area of the figure
Answer:
145.1327
Step-by-step explanation:
Divide the given figure up into two smaller figures. Calculate the area of each of the smaller figures and then add up the areas. One can divide this figure into a rectangle with sides (8 and 15), and a semi-circle with a diameter of (8m).
Calculate the area of the rectangle, the formula to calculate the area of a rectangle is ([tex]base*height[/tex])
8 * 15 = 120
Calculate the area of the semi-circle. The formulas for the area of a semi-circle is the formula for the area of a circle divided by (2), ([tex]A=\frac{(pi)r^2}{2}[/tex]). Where (A) represents the are, (pi) represents the number (3.1415...), and (r) represents the radius of the circle. The radius is always half of the diameter of a cricle. Substitute in the given values, and solve
[tex]\frac{(pi)(\frac{8}{2})^2}{2}[/tex]
[tex]=\frac{(pi)(4)^2}{2}[/tex]
[tex]=\frac{(pi)16}{2}[/tex]
[tex]=8(pi)[/tex]
~25.1327
Now add up the two values,
120 + 25.1327
= 145.1327
Find the volume of the cylinder. Round your answer to the nearest tenth.
3ft.
10 ft.
Enter only the numerical value with the units of measure.
the larger of two numbers is twice the smaller. if the larger is x what is the smalller. I NEED HELP PLSSS!!
Answer:
Easy. The smaller is x/2.
Step-by-step explanation:
2 times is larger, so larger divided by 2 is the smaller.
⚠️⚠️HELP PLEASE DUE BY MIDNIGHT⚠️⚠️
*explain if you can*
Write two different quadratic equations to represent the function with a vertex of (3,-5).
Miranda wants to buy as many collectible dolls as possible, for $2.50 each. If she has $45.00 to spend, how many dolls can she buy?
Which equation BEST represents this situation?
Answer: Miranda can buy 18 dolls.
Step-by-step explanation: Equation: 45 divided by 2.50
Which function has a greater rate of change?
pls help me lol
Solve the following inequality.
PLEASE HELP ASAP
the length and the breadth of a rectangular Garden are 0.8 km and 0.6 km respectively find the length of a wire required to put a fivefold fans around the garden
Answer:
Length of wire required for 5 fold of garden = 14 km
Step-by-step explanation:
Given:
Length of rectangle garden = 0.8 km
Width of rectangle garden = 0.6 km
Find:
Length of wire required for 5 fold of garden
Computation:
Perimeter of rectangle = 2[l + b]
Perimeter of garden = 2[0.8 + 0.6]
Perimeter of garden = 2[1.4]
Perimeter of garden = 2.8 km
Length of wire required for 5 fold of garden = 5 x Perimeter of garden
Length of wire required for 5 fold of garden = 5 x 2.8
Length of wire required for 5 fold of garden = 14 km
a set of speakers that regularly cost $160 are on clearance for 35% off. Find the sales price of the speakers
Answer:
I'm pretty sure this is the answer....
The speakers are $56.
Sorry if i'm wrong. :')
Step-by-step explanation:
Answer:
You want to buy something that costs $160, and it's on sale for 35% off. What is the item's sale price?
First, convert the 35% to a real mathematical number. For percents, this is always done by dividing the 35% by 100%, or 35% / 100% = 0.350.
Second, find out what 35% of $160 is. This is the amount of the sale discount. This is always found by mulitplying 0.350 by the item's cost $160, like this:
0.350 x $160 = $56.00.
So for this sale, you'll save $56.00 on this item.
This means, the cost of the item to you is
$160 - $56.00 = $104.00.
Alternatively, you can think about it this way. The item is 35% off. This means you'll pay 65.000% of the total cost (100% - 35% = 65.000%).
Now what's 65.000% of the total cost?
0.650 x $160 = $104.00.
Just like the result above, the sale price on the item is $104.00
Is this a function? please explain if possible.
Answer:
Yes, it is a function.
Step-by-step explanation:
A function is a relation where each x-value (input value) has exactly one y-value (output value) that is related to it or mapped to it. In order words, in a function, an input value can only have one output value.
Thus, the relation represented by the table of values above is a function because every x-value (input value) has exactly one y-value (output value).
Evaluate x2 + 6, when x=8
Help.
A sealed room in a hospital, measuring 5m wide, 10m long, and 3m high, is filled with pure oxygen.
One cubic meter volume of oxygen contains 1000L gas, and 22.4L of oxygen gas contains
6.02 x 1023 molecules (Avogadro's number).
A. 2.1976 x 100 molecules
B. 3.0051 x 1026 molecules
C. 4.0313 x 1027 molecules
D. 7.5014 x 1030 molecules
Answer:
Option C. 4.0313×10²⁷ molecules.
Step-by-step explanation:
We'll begin by calculating the volume of oxygen in the room. This can be obtained by calculating the volume of the room since the gas will eventually fill the room.
Width (W) = 5 m
Length (L) = 10 m
Height (H) = 3 m
Volume (V) =?
V = L × W × H
V = 10 × 5 × 3
V = 150 m³
Thus, the volume of oxygen is 150 m³
Next, we shall convert 150 m³ to L. This can be obtained as follow:
1 m³ = 1000 L
Therefore,
150 m³ = 150 m³ × 1000 L / 1 m³
150 m³ = 150000 L
Finally, we shall determine the number of molecules of oxygen in the room. This can be obtained as follow:
22.4 L = 6.02×10²³ molecules
Therefore,
150000 L = 150000 × 6.02×10²³ / 22.4
150000 L = 4.0313×10²⁷ molecules
Thus, the number of molecules of oxygen in the room is 4.0313×10²⁷ molecules
Find the area of the polygon to the nearest square inch.
Answer: 70
Step-by-step explanation:
Its says in question 4 tue horizontal translation is A right.?
Answer:
Here we have:
g(x) = 3*f( 2*x - 2) - 1
We want to know the horizontal translation used here.
We need to discuss two types of transformations here.
horizontal translation.
If we have a function f(x), a horizontal translation of N units is written as:
g(x) = f(x + N)
if N is negative, the translation is to the right.
if N is positive, the translation is to the left.
Horizontal dilation.
For a function f(x) an horizontal dilation of scale factor k is written as:
g(x) = f( x/k)
You can see that in our function we have both of these transformations.
Because we compare the translation with f(x), we assume that the horizontal translation is the first thing we did, then we must have
translation:
g(x) = f(x + N)
and now a horizontal dilation of scale factor k
g(x) = f( (x + N)/k)
Then we must have that the argument of the above function is the same as the argument of the given function.
(x + N)/k = 2*x - 2
then:
k = 1/2
(x + N)/1/2 = 2*x + 2*N = 2*x - 2
2*N = -2
N = -2/2 = -1
This means that we have a translation of 1 unit to the right.
Find the value of the variable:
Answer:
∠v = 76°
Step-by-step explanation:
since it is an isosceles triangle, both angles at the top of the picture are 52°.
∠v = 180° - 52° - 52° = 76°
What is the equation of the following line?
Answer:
E
Step-by-step explanation:
y = mx + b
m = slope
b = y-intercept
slope = rise / run = 7 / 1 = 7
m = 7
y-intercept = 0
So:
y = 7x + 0
y = 7x
This jar has 1 red, 74 yellow, and 25 green gumballs. What are the chances of picking a green gumball? the red one?
Answer: green = 25/100, red = 1/100
Step-by-step explanation: add ALL of the gumballs, there's your denominator, now you have 0/100 (1+74+25), count the amount of marbles you want to get the probability of, lets say green, there's your numerator (25) = 25/100
Josephine owns a dress shop and purchases a dress for $20. She decides to mark up the dress 35% in order to sell it to her customers. What is the amount of profit Josephine will make when she sells a dress to a customer? o Josephine will make a profit of $35 O Josephine will make a profit of $27 O Josephine will make a profit of $10 O Josephine will make a profit of $7
Answer:
Josephine will have $15 profit
I need help with this equation!!
Answer:
6,4
Step-by-step explanation:
Answer:
6 and 4
Step-by-step explanation:
So for the pattern, on the left side it's going up 2. And on the right side it's going down 2.
Hopefully this helps
10 points is all i have. PLEASE HELP!!
Answer:
Step-by-step explanation:
Answer:
Look Below
Step-by-step explanation:
2. X - 5 = -2 / X = 3
3. 2X = 10 / X = 5
4. 5X + 10 = 10 / X = 0
If you find any fault in my answers please let me know! Thanks! Have a good day! Hope this helps!
What is the area of this parallelogram?
104 m²
88 m²
56 m²
32 m²
Answer: To find area of a rectangle, multiply its base (length) by its height (width). Plug in the base, 7 meters, and the height, 8 meters. So the area of Rectangle DFBE is 56 square meters.
88m
HOPE THIS HELPS
what would the circumference be of a circle if the radius is 14
pls help I'm actually confused I've been trying to solve for over an hour.
( there both there own question but the 1st one you also need to solve the second)
Answer:
This is the famous "Ice cream cone" problem. notice that if you turn the object 90° counter clock wise , it looks like an ice cream cone. anyway
Step-by-step explanation:
the two triangles on the pointy end make a box , if you put them together, so it's a box of 4 x 11 or 44 [tex]in^{2}[/tex].
then the actual box part in the middle it's 3 x 8 or 24 [tex]in^{2}[/tex].
and finaly the ice cream :P or the round part. well half round part.
it's half of a circle..(we don't really know if the arc is really a circle from the problem but I'm guessing that we are supposed to assume that it is ) and the area of a circle is [tex]\pi[/tex][tex]r^{2}[/tex]
then [tex]\pi[/tex]*[tex]4^{2}[/tex] = 50.2655 which is the entire circle but we only have half.. so divide by 2 = 25.1327 [tex]in^{2}[/tex].
add the 3 parts
93.1327 [tex]in^{2}[/tex].
that's the total area of the "ice cream cone"
now just multiply by 3.1 to find the cost of the flooring
$ 288.71
Hope that helps :)
Answer it right and i'll try to give you brainliest.
Answer:
384 cm²
Step-by-step explanation:
Since it is a square pyramid, the total surface area of the pyramid is the area of its square base plus the area of its 4 triangular faces.
[tex]\boxed{area \: of \: triangle = \frac{1}{2} \times base \times height }[/tex]
Area of a triangular face
= ½ ×12 ×10
= 60 cm²
[tex]\boxed{area \: of \: square = side \times side}[/tex]
Base area of pyramid
= 12 ×12
= 144 cm²
∴ Surface area of pyramid
= 4(60) +144
= 240 +144
= 384 cm²
how do you graph the inequality of x<-3
NO LINKS I WILL REPORT YOU
Answer:
The graph is all of the plane on and to the right of the vertical line whose equation is x=-3. Take two points whose x-coordinates are -3, say (-3,-3), and (-3,3), connect with a straight line.
Step-by-step explanation:
2
15% of a number is 54. What is of that number?
Answer:36
Step-by-step explanation:
What is the circumference of the circle with a radius of 3.22 Round to the nearest tenth.
Sammy draws 3 identical rectangles on his paper. If each rectangle has a base of 15 cm and a height of 12 cm, what is the total area of all 3 rectangles added together?
Answer:
540
Step-by-step explanation:
If you do 15x12 which is the formula for area for a rectangle, you get 180. That's only the area of one rectangle but if you multiply it by 3 you get 540 for the areas added together.
Answer:
540 cm
Step-by-step explanation:
you multiply 15 x12 If you are getting an area 15 x12=180 then you multiply 180 by 3 180x3=540 I think
if x = -6 then -x 2 =
- (-6) 2 =
Answer:
12
Step-by-step explanation:
negative times a negative equals a positive.
so, 6 times 2 is 12.
Answer: 12
Step-by-step explanation:
Negative number multiplied by negative numbers get you to positive numbers so 6x2 is going to get you to 12. I think someone said this before me but here you go!