Answer:
Burrito = $3
Taco = $2
Step-by-step explanation:
Let b represent the cost of burrito
Let t represent the cost of taco
2b + 5t= 16.......equation 1
3b + 3t = 15.......equation 2
Multiply equation 1 by 3 and equation 2 by 2
6b + 15t= 48
-
6b + 6t = 30
9t= 18
t = 18/9
t = 2
Substitute 2 for t in equation 1
2b + 5t= 16
2b +5(2) = 16
2b + 10= 16
2b = 16-10
2b = 6
b = 6/2
b= 3
Hence the price of burritos is $3 and the price of taco is $2
You need to climb to the top of a house. You take the measurements shown. The right triangles created
by each object and its shadow are
similar. Can you use a ladder that
reaches heights of up to ? Not drawn to scale
Answer: Yes, the house is 12 m tall.
Step-by-step explanation:
Since the two triangles are similar, you can set up a proportion.
Like: [tex]\frac{x}{8.8}= \frac{1.5}{1.1}[/tex] (other proportions could be correct, as long as corresponding parts are lined up).
Solve by cross-multiplying (multiply each diagonal, then set equal).
This gives us: 1.1(x) = 8.8(1.5)
Simplify: 1.1x = 13.2
then divide both sides by 1.1 to solve for x: x = 13.2/1.1 = 12
This tells us the height of the house is 12 m. A 13 m ladder would ideally reach the top.
Plz help 50 points
Help on number 2 and 3 please. What if you can’t read number 3’s answer it is;
A.8
B. 1/8
C.2/9
D. 9/2
Plz help on number 2 and 3
Answer: So the answer to number 2 is D! And the answer to number 3 is C I think I am not pretty sure about #3 but I am sure its D for 2 and pretty sure for #3 is C!
Help!!!!!! Easy math problem
Answer:
x = 6
Step-by-step explanation:
180° is always all triangles.
This is a right triangle, so that means that the angle that is unknown is 90.
Angles:
90
60
7x - 12
90 + 60 + 7x - 12 = 180
150 - 12 + 7x = 180
138 + 7x = 180
7x = 180 - 138
7x = 42
7x/7 = 42/7
x = 6
Which line appears to have an x-intercept of -3 and a intercept of 5?
The first graph shows the x-intercept of -3 and y - intercept of 5.
Option A is true.
What is Intercepts?
The points in which the graph crosses the two axis ( x and y axis) are called Intercepts.
Given that;
The x - intercepts = -3
And, The y - intercepts = 5
Since,
The x - intercepts = -3
That's mean the line cross at the point - 3 on x - axis.
And, The y - intercepts = 5
That's mean the line cross at the point 5 on y - axis.
Clearly, In graph first;
The graph of the line is crosses at the point on x - axis at the point -3 and y - axis at the point 5.
Therefore,
The first graph shows the x-intercept of -3 and y - intercept of 5.
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Find the slope of the line that passes through the points (3, 12) and (2, 8)
A. m=2
B. m=3
C. m=4
D. m=8
SOMEONE PLEASE HELP ME OUT WITH THIS PLEASE PLEASE PLEASEE I WANT TO PASS AND I DONT KNOW THAT ANSWER
Answer:
A and D
Step-by-step explanation:
C
i gotta add words so i meat the 20 character limit :)
What is the greatest common factor of 20 and 55?
Answer: 5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
in image. pls expalin aswell
Therefore in each composite function we get different domains and ranges which is given below.
Function is whose values are found from 2 given operates by applying one operate to AN variable so applying the second operate to the result and whose domain consists of these values of the variable that the result yielded by the primary function lies within the domain of the secondThe domain of a operate is that the set of values that we tend to ar allowed to plug into our operate.This set is that the x values in a very operate like f(x).The vary of a operate is that the set of values that the operate assumes. This set is that the values that the operate shoots out when we tend to plug AN x price in. they're the y values out after we plug an x value in. They are the y values.(1) f(x) = x+2 , g(x) = 3x - 1
(f + g)(x) = f(x) + g(x)
= x+2 + 3x - 1
= 4x +1
Domain = (-∞ , ∞) and range = (-∞ , ∞)
(f - g )(x) = f(x) - g(x)
= x+2 -3x +1
= -2x + 3
Domain = (-∞ , ∞) and range = (-∞ , ∞)
(f.g)(x) = f (x) g(x)
= (x+2)( 3x - 1)
= 3x²- x + 6x - 2
= 3x²+ 5x -2
Domain = (-∞ , ∞) and range = [-49/12 ,∞)
(f/g)(x) = f(x)/g(x)
= x+2/3x-1
Domain = (-∞ , 1/3) ∪ (1/3 ,∞) and range = (-∞ , 1/3) ∪ (1/3 ,∞)
(2) f(x) = x² - 5 and g(x) = -x +8
(f + g)(x) = f(x) + g(x)
= x² - 5 -x +8
= x² - x +3
Domain = (-∞ , ∞) and range = [11/4 ,∞)
(f - g )(x) = f(x) - g(x)
= x² - 5 +x -8
= x² + x - 13
Domain = (-∞ , ∞) and range = [-53/4 ,∞)
(f.g)(x) = f (x) g(x)
= ( x² - 5 )(- x +8)
= -x³ + 8x² + 5x - 40
Domain = (-∞ , ∞) and range = (-∞ , ∞)
(f/g)(x) = f(x) / g(x)
= x² - 5 / -x +8
Domain = (-∞ , 8) ∪ (8 ,∞) and range = (-∞ , -16 - 2√59 ) ∪ (-16 + 2√59 ,∞)
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Help pls and thank you
what did he do wrong
Answer:
He did not multiply 3 by the fraction 5/3.
Step-by-step explanation:
8/3=3c + 18/3
Graph the line that contains the point(-7,-4) and has a slope of -2/3
Answer:
Place one at (-7,-4) and the other at (-4,-6)
Step-by-step explanation:
Kalista is making a new dance outfit. She needs 2 ½ yards of fabric for the shawl. She needs 1 ¾ yards of fabric for the dress. If she has 3 yards of fabric, how much more does she need? If each yard of fabric cost $7.98, how much money does she need?
Answer:
$9.98
Step-by-step explanation:
The first step is to calculate the total fabric that Calista has
= 2 1/2 + 1 3/4
= 5/2 + 7/4
= 17/4
The next step is to calculate the fabric that she needs
= 17/4-3
= 5/4
If each yard of fabric costs $7.98 then the amount needed can be calculated as follows
= 7.98 × 5/4
= 7.98 × 1.25
= 9.975
= $9.98
Hence Kalista needs $9.98
you are tiling a kitchen floor that is 10 ft wide by 4 yd long. how many square yards of tile do you need? study.com
40÷3 or [tex]13\frac{1}{3}[/tex] square yards of tiles are needed.
To find the amount of square yards of tile needed, we will find the area. Now, to calculate the area in square yards, first thing needed in conversion of width of kitchen floor from feet to yard.
As per the known fact, 1 foot = 1÷3 yards
So, converting given width into yards, we will simply multiply
10 feet = (1÷3)×10
10 feet = 10÷3 yards
Now, calculating the square yards of tile needed or area.
Needed tiles = (10÷3)×4
Performing multiplication to find the square yards of tile needed -
Needed tiles = 40÷3 or [tex]13\frac{1}{3}[/tex] square yards.
Hence 40÷3 or [tex]13\frac{1}{3}[/tex] square yards of tile is needed.
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For mixing paint, Bishear used the equation, 1/2x + 9 = 13, for making orange. If he puts in 8 parts red, so x = 8, would it be a solution to the equation. *
Answer:
If he keeps to the same ratio, how many raspberries will Tobias use? ... The first orange paint mixture contains 6 parts red and 9 parts yellow.
Step-by-step explanation:
Round 3,989.23655 to the nearest thousandth. 3,989.237 3,989.236 4,000 3,989.240
Answer:
3,989.237Step-by-step explanation:
Rounding to the nearest THOUSANDS means 3 decimal places
The equation of a circle is in the form:
(x - h)2 + (y – k)2 = 9
If the circle is centered in Quadrant III, what must be true
of h and k ?
A h> 0 and k > 0
Bh< 0 and k < 0
Ch< 0 and k > 0
Dh> 0 and k < 0
Answer:b
Step-by-step explanation:
Plsssss helppp meeeeee
Answer:
First choice, 1/3
Step-by-step explanation:
If you look at 1 to A to B to 2, you would see that there are 3 gaps between them. Therefore it's out of three, A to B is only one gap distance so it's 1/3
The answer is 1/3.
- emmatannerfns
please help asap!!!!!!!!!!!
Answer:
x = 59° , y = 44°
Step-by-step explanation:
See the attached image below ,
Since the whole angle is 180° we can write it like this ,
(2x + 18)° + (x - 15)° = 180°
2x + x + 18 - 15 = 180
3x +3 = 180
3x = 177
x = 177/3
x = 59°
and now for y,
y = (x - 15)° CORRESPONDING ANGLES PROPERTY
y = x - 15
y = 59 - 15
y = 44°
A customer purchased a total of 16 washcloths and towels. Each washcloth cost $10.50 and each towel cost $15.00. The customer spent $226.50 all together.
How many washcloths did the customer buy?
Answer:
3
Step-by-step explanation:
10.50 x 3 = 31.5
15 x 13 = 195
195 + 31.5 = 226.50
basically just need the answer my brains not comprehending anything, any form of help would be very appreciative have a great day
Solve number 3 please :)
Answer/Step-by-step explanation:
Function A has a rate of change of 10 and function B has a rate of change of 5, so function A has a greater rate of change.
y = mx + b
The slope also known as rate of change is represented as the variable m in y = mx + b. So whatever number replacing m is the rate of change. In this problem 10 is the slope or rate of change.
In a graph, rate of change is determined by the rate in which the output is increasing or decreasing compared to the increase or decrease of the input. In this graph for every 1x added 5y is decreased. So, the rate of change is 5.
8.) How wide is the pond? Round to the nearest tenth if
necessary.
120 ft
Answer:
The pond is already at the nearest tenth, 120 ft
Step-by-step explanation:
I NEED HELP!!!
5(x+1)+3x=6-(4x-3)
Answer:
1/3
Step-by-step explanation:
[tex]5(x+1)+3x=6-(4x-3) \\ \\ 5x+5+3x=6-4x+3 \\ \\ 8x+5=-4x+9 \\ \\ 12x=4 \\ \\ x=1/3[/tex]
what is the y-intercept of each function? f(x)=7(-x+3)
Answer:
21
Step-by-step explanation:
You have to distribute the 7 in this case:
f(x) = 7(-x + 3)
f(x) = -7x + 21
The y-intercept is the number without the x with it. So, with this function it is 21.
I hope this helps!!
- Kay :)
Solve for d: 6d2 + 5d = 1.
SOLVE: log x - log (x+4) = -1
Answer:
x = 4/9
Step-by-step explanation:
Remember when you subtract logs, you divide the numbers;
This means;
log x - log (x+4) = -1 ---------can be written as;
[tex]log\frac{x}{x+4} =-1[/tex]
Eliminate the log as
[tex]\frac{x}{x+4} =10^{-1}[/tex]
x/ x+4 = 1/10
10x=x+4 --------collect like terms
10x-x =4
9x = 4 ------find value of x
x= 4/9
What’s 7/12+1/3 in fractions show your work
Answer: 7/12 + 1/3 is 11/12
Step-by-step explanation: Get a common denominator. On 1/3, multiply 3 and 1 by 4. The makes 4/12. Then, you can add 7/12 and 4/12.
7/12+1/3 in fractions is 11/12.
What is Fraction?A fraction represents a part of a whole.
We have to find the value of 7/12+1/3
We have to find the LCM of denominators 12 and 3.
The LCM of 12 and 3 is 12
7+4/12
Seven plus four is eleven
11/12
Hence, 7/12+1/3 in fractions is 11/12.
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Using the figure below, angle FBD is 50 degree, which is true regarding angle EBF?
Answer:
<EBF = 40
Step-by-step explanation:
<EBF and <FBD are complementary, which means m<EBF + m<FBD = 90 degrees. Since m<FBD = 50 degrees, m<EBF = 90 - 50 = 40 degrees.
Factorise fully 5x^2+7x
Answer:
I don't find any other way or solution
Step-by-step explanation:
5x^2+7x=5x(x+7/5)
Who here is in 8th grade?
Answer: I am in 8th grade but am in virtual