Each pizza cost $ 12.65
What is an Equation ?An Equation is used in determination of unknown variables in an expression .
It is given that
Brian ordered 3 large cheese pizzas and a salad.
The salad cost $4.95
Total amount spend = $47.60
Tip = $5
The amount spend in food is $ 47.60-5
= $42.60
Let the price of Pizza is x then the equation that can be formed to determine the price of pizza is
3x + salad = 42.60
3x + 4.95 = 42.60
3x = 37.65
x = $12.65
Therefore each pizza cost $ 12.65
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Answer:
12.55
Step-by-step explanation:
Think About a Plan Write an indirect proof.
Proof
Given: 41 42
Prove:
p
• What assumption should be the first step of your proof?
. In the figure, what type of angle pair do 21 and 22 form?
1) Either [tex]\ell \parallel p[/tex] or [tex]\ell[/tex] ∦ [tex]p[/tex] (only two possibilities)
2) Assume [tex]\ell \parallel p[/tex] (one of two possibilities)
3) [tex]\angle 1 \cong \angle 2[/tex] (if two parallel lines are cut by a transversal, the corresponding angles are congruent)
4) But [tex]\angle 1[/tex] is not congruent to [tex]\angle 2[/tex] (given)
5) So [tex]\ell[/tex] ∦ [tex]p[/tex] (only other possibility)
Without using mathematical tables or calculator, find, in surd form(radicals) the value of tan22.5
Answer:
Step-by-step explanation:
tan 45=1
[tex]tan 2\alpha =\frac{2tan\alpha}{1-tan^2\alpha } \\put~\alpha =22.5\\2\alpha =2 \times 22.5=45\\tan~2\alpha =tan~45=1\\1=\frac{2tan \alpha }{1-tan^2\alpha} \\1-tan^2\alpha =2 tan\alpha \\ tan^2\alpha +2tan \alpha -1=0\\tan\alpha =\frac{-2 \pm\sqrt{4+4} }{2} \\=-1\pm\sqrt{2} \\\alpha =22.5\\so ~tan~\alpha ~is~positive.\\so ~tan~\alpha =\sqrt{2} -1[/tex]
What do the differences between the points (as shown on the graph) represent?
On a coordinate plane, point B is at (2, 7) and point D is at (4, 14).
1/3 · (-3x + 4y - 5z)
(1/3 Is A Fraction)
(Write Explanation)
The value of expression is -(x- 4y/3 + 5z/3)
What is fraction?A fraction represents a part of a whole or, more generally, any number of equal parts.
Given:
1/3 · (-3x + 4y - 5z)
= 1/3(-3x) + 1/3 *4y + 1/3* (-5z)
= -x +4/3*y -5/3 *z
=-(x- 4y/3 + 5z/3)
Hence, 1/3 · (-3x + 4y - 5z)= -(x- 4y/3 + 5z/3)
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8. A group of teenagers were surveyed to find out whether they like to drink coffee or tea. The result is shown below. •21 teenagers like to drink coffee or tea •3 teenagers like to drink coffee and tea. •2 teenagers do not like to drink coffee or tea. Based on the information, calculate (a) the total number of teenagers in the group. (b) the number of teenagers who like to drink coffee only or tea only.
a) 26 teenagers are in the group. 21+3+2=26
b) 21 like to drink coffee or tea only. (3 like both and 2 like neither, so 21 enjoy one or the other)
Given that sine of theta = 21/29, what is the value of cosine of theta, for 0° < theta < 90°?
If the value of θ is 46.4°. Then the value of the cosine of θ will be 20/29.
What is trigonometry?The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
The value of sine of θ is 21/29.
Then the value of θ will be
sin θ = 21/29
θ = sin⁻¹(21 / 29)
θ = 46.4°
Then the value of the cosine of θ will be
cos θ = cos 46.4°
cos θ = 20/29
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Figure 1 is similar to figure 2. What is the height of figure 1?
8 units
1 unit
2 units
4 units
The height of figure 1 that is similar to figure 2 is: D. 4 units.
What are Similar Figures?The corresponding linear measurements of similar figures are proportional. Therefore, we would have:
4x/2x = x + 1/x
Solve for x
2 = x + 1/x
2x = x + 1
2x - x = 1
x = 1
Height of figure 1 = 4x = 4(1) = 4 units.
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A right rectangular pyramid is sliced parallel to the base, as shown. (100 POINTS)
What is the area of the resulting two-dimensional cross-section?
2 m²
3 m²
9 m²
12 m²
That shaded region area we need
length=2mBreadth=1mArea
Length×Breadth2(1)2m²(-7)(-7)(3) integer operations
Answer:
-×-=+
49×3
147
Step-by-step explanation:
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You spin the spinner twice.
What is the probability of landing on a 7 and then landing on a number less than 9?
Write your answer as a fraction or whole number.
Answer:
1/3
Step-by-step explanation:
the answer is 1/3 because the probability of landing on a 7 is 1/3 and the probability of landing on any number less than 9 is 2/3. Then, you multiply the probabilities: 1/3 * 2/3 = 2/9 = 1/3
A social club has 500 members.
If 62% of members are male, what percentage are female?
Answer:
[tex]\huge\boxed{\sf 38\%}[/tex]
Step-by-step explanation:
Total members = 500
Total percentage = 100%
Percentage of male members = 62%
Percentage of female members:= 100% - male members
= 100% - 62%
= 38%
[tex]\rule[225]{225}{2}[/tex]
Answer:
310 members or 38% are female
Step-by-step explanation:
100% - 62%male = 38% female
or (62 × 500) ÷ 100 = 310 females
For the functions f(x) and g(x), determine the domain of (f ∙ g)(x) (the product of f and g).
f(x)= 12/x, g(x)= -8x ^3
Answer: Domain: (-∞, 0) U (0, ∞)
Step-by-step explanation:
[tex]\frac{12}{x} *-8x^{3}[/tex]
[tex]=-96x^2[/tex]
Domain: (-∞, 0) U (0, ∞)
Which is a true statement about an exterior angle of a triangle
Answer:
would love to help but what are the statements?
Help please this is khan academy
Answer:
9800 cm^2
Step-by-step explanation:
The area of a square is just the length of one of the sides squared. In the first image it's given that one of the sides is 70 cm and the shape is also a square pyramid so the base is going to be a square. So the area the base is (70 cm) ^ 2 = 4,900 cm^2. The area of a triangle is 1/2 bh. The base is given in the first image which is 70 cm and the height is also given which is 140 cm. This gives you the equation 0.5 * 140 cm * 70 cm = 4900 cm^2. Adding these two values gives you 9800 cm^2
True OR False
------------------------
y + 15 = 30, y = 20?
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \:False [/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
[tex]\qquad \tt \rightarrow \: y + 15 = 30[/tex]
[ subtract 15 on both sides ]
[tex]\qquad \tt \rightarrow \: y + 15 - 15 = 30 - 15[/tex]
[tex]\qquad \tt \rightarrow \: y = 15[/tex]
Here, actual value of y is not the same as it is in statement, so the statement is wrong.
Which is the equation of a line that has a slope of 1/2and passes through point (2, -3)?
Answer:
y = 1/2 x - 4
Step-by-step explanation:
point slope form would be
( y - - 3) = 1/2 (x-2) you can re-arrange as
y = 1/2x -4
Christy buys a bag of cookies that contains 7 chocolate chip cookies, 4 peanut butter cookies, 7 sugar
cookies and 4 oatmeal cookies. what is the probability that christy randomly selects an oatmeal cookie
from the bag, eats it, then randomly selects a chocolate chip cookie? express you answer as a reduced
fraction.
Answer:
[tex] \frac{2}{33} [/tex]
Step-by-step explanation:
There are 22 cookies in all.
The probability of selecting an oatmeal cookie is 4/22, or 2/11. Since that cookie is eaten, there are 21 cookies left, so the probability of selecting a chocolate chip cookie is 7/21, or 1/3. Multiplying these probabilities, we have 2/33.
A hiker is climbing down a valley. He stops for a water break 4 times. Between each break, he descends 15 meters. How many meters did he descend?
Ju Chan answered the question by writing the following:
4(−15) meters = −60 meters.
Which word in the problem indicates that a negative number should be used?
The word in the problem that indicates that a negative sign should be used is "descend"
How many meters did he descend?We know that he stops for water breaks four times, and between each water break, he descends 15 meters.
The written equation is:
4*(-15)m = -60m
Why the negative sign is used?
The negative sign is used because the hiker is descending, so its height is decreasing. The word in the problem that indicates that a negative sign should be used is "descend"
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Use the figure to decide the type of angle pair that describes <5 and <6.
3
5
1
4
2
6
Answer:
A. Corresponding Angles
Step-by-step explanation:
1. ∠4 and ∠6 = 180°
2. ∠3 and ∠5 = 180°
3. So, ∠5 and ∠6 are the same angles.
Question 5 of 10
Choose the symbol that correctly compares the fracti-
-IN
113
1/2 1/2
A. >
B. =
C.
Given the following formula, solve for a.
Answer:
A
Step-by-step explanation:multiply both sides by two, then subtract b and c from both sides to get a on the right side by itself
Answer:
О A a = 2s - b - c
Step-by-step explanation:
S = (a+b+c)/2
2s = a + b +c
2s - b - c = a
Segment AB is congruent to segment AB.t h s statement shows the ______ property.
Question 4) Identify the surface area of the composite figure.
The surface area of the composite figure is 714 sq. in.
What is formula of surface area of cube ?
Let, a be the edge of the cube.
Then, surface area of the cube = 6a² square unit
What is formula of surface area of cuboid ?Let, length of the cuboid = l unit
Width of the cuboid = w unit
Height of the cuboid = h unit
Then, surface area of the cuboid = 2(lw+lh+hw) square unit
What is the required surface area ?Given, edge of cube = 4 in.
∴ Surface area of cube = (6×4²) sq. in. = 96 sq. in.
Now, given, length of cuboid = 15 in.
Width of the cuboid = 10 in. & height of the cuboid = 7 in.
∴ Surface area of the cuboid = 2{(15×10)+(15×7)+(10×7)} sq. in.
= 2{150+105+70} sq. in.
= 2{325} sq. in. = 650 sq. in.
Here, we have to find the surface area of the composite figure.
We have to subtract the surface area from both of cube & cuboid, where they are attached.In that case, we have to subtract (4×4) from both.
So, we have to subtract 2(4×4) sq. in. = 32 sq. in.
∴ The surface area of the composite figure = (650+96-32) sq. in.
= 714 sq. in.
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Find the missing side lengths. Answers are in simplest radical form with the denominator rationalized.
A 45-45-90 right triangle with one of the legs labeled y, the other leg labeled 4 times the square root of 2, and the hypotenuse labeled x.
,
,
,
,
Answer:
missing side lengths are
leg 1 is 4√2
leg 2 is 4√2
hypotenuse is 8
Step-by-step explanation:
leg 1 is y
leg 2 is 4√2
45-45-90 right triangle means
legs are equal
the longest side is the hypotenuse which is
x
pythagorean theorem =
a² + b² = c²
a and b are the legs
c is hypotenuse
(4√2)² + (4√2)² = c²
4√2 = √16*2 = √32
(√32)² + (√32)² = c²
32 + 32 = c²
64 = c²
take the square root of both sides
√64 = √c²
8 = c
c = 8
Write the relation as a set of ordered pairs. a. ordered pairs: {(–3, 3), (0, 0), (2, –2)} b. ordered pairs: {(3, –3), (0, 0), (–2, 2)} c. ordered pairs: {(3, –3), (0, 0), (2, d. ordered pairs: {(–2, 2), (0, 0), (3, –3)}
The relation written as a set of ordered pair is given as: : {(–2, 2), (0, 0), (3, –3)}. (Option D)
What is an ordered pair?An ordered pair is a in math is one that comprises coordinates of one point in the coordinate system where the first is the x coordinate and the other is representative of the y coordinate.
Thus the correct ordered pair is option D. See the graph attached.
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Which pyramid has a greater volume, and how much greater is its volume? A rectangular pyramid on the left with a base of 7 inches by 6 inches and height of 3 inches. A rectangular pyramid on the right with a base of 4 inches by 3 inches and a height of 10 inches. The volume of the pyramid on the left is greater by 2 inches cubed. The volume of the pyramid on the left is greater by 6 inches cubed. The volume of the pyramid on the right is greater by 2 inches cubed. The volume of the pyramid on the right is greater by 6 inches cubed
The volume of the pyramid on the left is greater by 8 inches cubed
We have given that,
A rectangular pyramid on the left with a base of 7 inches by 6 inches and a height of 3 inches.
A rectangular pyramid on the right with a base of 4 inches by 3 inches and a height of 10 inches.
The volume of the pyramid on the left is greater by 2 inches cubed. The volume of the pyramid on the left is greater by 6 inches cubed.
The equation for finding the volume of a pyramid is,
What is the volume of a pyramid?lwh/3
when you input the values of the two pyramids into this equation you get the left pyramid having a volume of 128 inches cubed and the right pyramid having a volume of 120 inches cubed.
Therefore, 128 - 120 = 8
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A bag contains 20 identical sweets apart from the colour: 10 are pink, 7 are green and 3 are yellow. Jovian randomly selects wtwo sweets from the bag, one after the other, ans eats them. Find the probability that:
i) she eats two pink sweets,
ii)the first sweet is green and the second sweet is yellow,
iii) she eats exactly one pink sweet,
iv)neither sweet is green
Answer: Relative frequency and probability are similar terms and the answer to both of them are the same. What I mean is that, even if the question asks for probability or relative frequency, the answer will remain the same. The basic difference is that relative frequency is used when probability is being estimated using the outcomes of an experiment or trial, when theoretical probability cannot be used.
We can write the probability in the help of a normal formula,
P(A) is the probability of an event “A” n(B) is the number of favorable outcomes. n(S) is the total number of events in the sample space.
One more thing you might need to know is that, in probability, and means multiplication and or means addition.
And = multiplication
Or = addtion
So from the above equation, n(S) , the total number " 10 + 7 + 3" is 20.
i) 2/20 and in simplified terms, 1/10
ii) 7/20 * 3/20 = 21/400
iii) 1/20
iv) 13/20
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An archaeologist in turkey discovers a spear head that contains 32% of its original amount of c-14
Answer:
that means that the new ones contains c-14*32/100
Hope This Helps!!!
Which value of m will create a system of parallel lines with no solution?
y=mx-6
8x-4y=12
Answer: y = 2x - 6
Step-by-step explanation:
Let us turn the second given equation into slope-intercept form to match the first equation.
8x - 4y = 12
8x - 12 = 4y
4y = 8x - 12
y = 2x - 3
Now, parallel lines have the same slope. This is the m value.
y = 2x - 3
\/
y = mx - 6
y = 2x - 6
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What’s the value of x?
Answer:
the value of x is 115
Step-by-step explanation:
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