Cost of a pretzel is equals to $2.25.
What is system of equations?
" A system of equations is a finite set of equations for which we find the common solution."
According to the question,
'x' represents the cost of pretzel
'y' represents the cost of lemonade
As per situation given system of equation are,
Situation1: The total cost of two pretzels and a lemonade is $5.75, which can be represented by equation:
[tex]2x + y = \$5.75[/tex] ____(1)
Situation2: The total cost of two lemonades is $0.25 more than the cost of a pretzel, which can be represented by equation:
[tex]2y = 0.25 +x[/tex] _____(2)
Multiply equation (1) by 2 we get,
[tex]4x + 2y = \$11.5[/tex] ______(3)
Substitute the value of 2y from (2) in (3) to get the cost of pretzel,
[tex]4x + 0.25 +x = \$11.5[/tex]
⇒ [tex]5x = 11.5 - 0.25[/tex]
⇒ [tex]5x = 11.25[/tex]
⇒ [tex]x =\frac{11.25}{5}[/tex]
⇒[tex]x=\$2.25[/tex]
Hence, cost of a pretzel is equals to $2.25.
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PLS HELP ME ASAP ON THIS!! THANK YOU SO MUCH!!
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Which ordered pair is a solution for this system of inequalities?
2x + 3y > 1 and y < 5/4 x - 1
A.(3, 9)
B.(-4, 2)
C.(8, -1)
D.(-2, -5),
Circle 1: center (8, 5) and radius 6
Circle 2: center (−2, 1) and radius 2
What transformations can be applied to Circle 1 to prove that the circles are similar?
What scale factor does the dilation from Circle 1 to Circle 2 have?
Show your work.
The original value of a car is 18000, and it depreciates (loses value) by 15% each year. What is the value of the car after three years?
Explain what needs to happen to the inequities sign when dividing or multiplying by a negative number
If arc XV = 68° and ∠YUV = 36°, what is the measure of arc VY?
Given that the points (-3, 8), (2, 8), (2, -2), and (-3, -2) are vertices of a rectangle, what is the ratio of the rectangle's length to its width?
Answer:
2:1
Step-by-step explanation:
Is the mean always a more accurate measure of center than the median
Jose owns 40 shares of stock A whose price increased by $0.75 per share. He also owns 100 shares of stock B whose price decreased by $0.20 per share. What is the total change in the value of Paul’s stock (A and B together)?
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A rectangle is 7 feet long by 2 feet wide. If 2 feet are added to the length of the rectangle, what would be the area, in square feet, of the new rectangle?
If a rectangle is 7 feet long by 2 feet wide and 2 feet are added to the length of the rectangle then the area of rectangle is 18 square feet.
What is Area of Rectangle?The area of Rectangle is length times of width.
Given that a rectangle has a length of 7 feet.
The width of rectangle is 2 feet.
We have to find the area of rectangle when 2 feet is added to the length of rectangle
Initial length is 7 feet
When 2 feet is added the length will be 7+2, 9 feet.
Area of rectangle = Length × width
=9×2
Nine times two is eighteen.
=18 square feet.
Hence, if a rectangle is 7 feet long by 2 feet wide and 2 feet are added to the length of the rectangle then the area of rectangle is 18 square feet.
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Factor completely: 9ab + 12ax - 6b - 8x (1 point)
1. Prime
2. (3b - 4x)(3a - 2)
3. (3b + 4x)(3a - 2)
4. (3b + 4x)(3a + 2)
Find the ratio of the longest side to the perimeter of the right-triangular-shaped billboard. 20 feet 21 feet 29 feet
Solution:
we have been asked to find the ratio of the longest side to the perimeter of the right-triangular-shaped billboard.
Sides of the right-triangular-shaped billboard are 20 feet 21 feet 29 feet.
As we know perimeter is just the sum of all the sides.
Perimeter[tex]=20+21+29=70\\[/tex]
And the longest side is 29 feet.
Hence the required ratio [tex]=\frac{29}{70}=29:70[/tex]
Find the volume for the regular pyramid.
4 cu. units
6 cu. units
12 cu. units
Answer:
[tex]4\ cu.\ units[/tex]
Step-by-step explanation:
we know that
The volume of the pyramid is equal to
[tex]V=\frac{1}{3}Bh[/tex]
where
B is the area of the base of the pyramid
h is the height of the pyramid
Find the area of the base
[tex]B=2^{2}=4\ units^{2}[/tex]
[tex]h=3\ units[/tex]
Find the volume
[tex]V=\frac{1}{3}(4)(3)=4\ units^{3}[/tex]
A cell phone weighs about 2.8X10^n pounds. Which value of n is most reasonable? A)-3 b)-1 c)0 d)1
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What is the simplified form of (x – 2)(2x +3)? Use the Distributive Property. (1 point)
2x2 – x – 6
2x2 – 6
2x2 – 7x – 6
2x2 + x – 6
2. What is the simplified form of (3x + 2)(4x – 3)? Use a table. (1 point)
12x2 + 18x + 6
12x2 + x – 6
12x2 + 18x – 6
12x2 – x – 6
3. What is the simplified form of (4p – 2)(p – 4)? (1 point)
4p2 + 6p – 16
4p2 – 18p + 8
4p2 – 14p – 6
4p2 – 6p + 16
4. The radius of a cylinder is 3x – 2 cm. The height of the cylinder is x + 3 cm. What is the surface area of the cylinder? Use the formula A = 2r2 + 2rh.,
can someone help me with this?
Cheryl volunteers to mow the lawn at a retirement home.She can mow 1/4 of the lawn in 3/4 of an hour .At what rate ,how many hours will it take Cheryl to mow the entire lawn
Somebody help. I can’t figure this question out. thanks
Where is the centroid of any given triangle?
A. the point of concurrency of the altitudes of the triangle.
B. the point of concurrency of the medians of the triangle.
C. the point of concurrency of the perpendicular bisectors of the triangle.
D. the point of concurrency of the angle bisectors of the triangle.
Which of the following best describes the altitude of a triangle?
A. a segment perpendicular to a side of the triangle.
B. a segment that passes through the midpoint and is perpendicular to a side of a triangle.
C. a segment drawn from the ve
find the exact value of cos285 using the fact that 285=330-45
A horizontal line goes through the point (–7,10). Which statements are true about this line? Check all that apply. The slope of the line is zero. Another point on the line is (3,10). The y-intercept of the line is –7. The equation of the line is y = 10.
The statement 1,2, and 4 are true and 3 is not true below given the reason behind it.
What is a graph?The link between lines and points is described by a graph, which is a diagrammatic representation of a network.
A graph is made up of some points and the distance between two It doesn't matter how much time the lines are or where the points are located. A node is a name for each constituent in a graph.
The given statement is a line passing through ( -7, 10 ) so
Option 1 ⇒ the slope of that line will be zero because it is a horizontal line so it will be true.
Option 2 ⇒another point on this line will be (3,10) since it is a horizontal line so the y coordinate is the same and the x coordinate can vary so it is also true.
Option 3 ⇒ the y-intercept of this line will be 10 which is not true and can be confirmed by options 1 and 2.
Option 4 ⇒ the equation of the line will be y =10 which is true hence it is a horizontal line.
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Soon you will determine the right triangle connection the pythagorean theorem
how fast is the water level rising in a rectangular fish tank whose base is 20 ft^2 if the tank is being filled at a rate of 0.5ft^3/min
The water level is rising at a rate of 0.025 ft/min.
To determine how fast the water level is rising in the rectangular fish tank, you can use the formula for the volume of a rectangular prism:
V = base area × height
Given that the base area is 20 [tex]ft^2[/tex] and the tank is being filled at a rate of
0.5 cube ft/min, you want to find the rate at which the height (h) is changing [tex](\frac{dh}{dt} )[/tex].
V = base area × height
[tex]\frac{d V}{d t}=\text { base area } \times \frac{d h}{d t}[/tex]
Substitute the known values:
0.5 = 20 x [tex](\frac{dh}{dt} )[/tex]
Now, solve for [tex](\frac{dh}{dt} )[/tex]
[tex]\frac{d h}{d t}=\frac{0.5}{20}[/tex] = 0.025 ft/min
Thus, the required answer is 0.025 ft/min.
trevor needs to let his puppy outside every quarter (1 fourth) hour to potty train him. draw and label a number line from 0 hours to 1 hour to show every 1 fourth hour.
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4) A mountain climber climbed up a cliff 1/4 mile at a time. he did this 5 times in one day. How many miles did he climb up? *
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Segment IR || Segment NA
TA= 12 cm, RA= 3 cm, NT= 18 cm, AN= 22
(a)What theorem or postulate proves Triangle ANT similar to RIT?(b)Solve for NI by using the Side-Splitting Theorem.Show all work.(c)What is the scale factor for similar triangles ANT and RIT?
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Laila is having shirts made with a logo printed on them to promote her band. The total cost consists of a one-time fee of $75 to have the logo designed, plus $8 per shirt to print the logo. Write an equation that Laila can use to determine the total cost c, in dollars, to make x shirts
A die is tossed. Find the odds against rolling a number greater than 4.
*the probability of rolling a # greater than 4 is 1/3.
*the probability that the event doesn't occur is 2/3.
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A circular piece of glass has a radius of 2.1 meters. The glass sells for $1.70 per square meter. What is the total cost of the circular piece of glass?
$23.54
$94.16
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