Answer:
x = 3 pizzas
Step-by-step explanation:
Not sure what the question is asking, but I am assuming that the question is asking how many pizzas needs to be ordered for the restaurant ordered to equal each other.Set up equation: [tex]10x + 2 = 9x + 5[/tex]Simplify the equation:[tex]x = 3[/tex]
Mark dropped an object from a bridge 400 feet above ground level
i think the question is incomplete.Then what happened???? And what to find???
Three tennis balls that fit in cylindrical tennis ball cane. If each ball is 14 inches in diameter, what is the volume of air left between the balls and the cane
Given:
Diameter of the tennis ball = 14 inches.
Three tennis balls are fit in a cylindrical tennis ball cane.
To find:
The volume of air left between the balls and the cane.
Solution:
Diameter of the tennis ball = 14 inches.
Radius of the tennis ball = 7 inches
Radius of tennis ball is equal to radius of cane. So,
Radius of the cane = 7 inches
Height of cane is:
[tex]3\times 14=42[/tex] inches
Volume of a ball is:
[tex]V_1=\dfrac{4}{3}\pi r^3[/tex]
Where, r is the radius of the ball.
So, the volume of 3 ball is:
[tex]V_2=3\times V_1[/tex]
[tex]V_2=3\times \dfrac{4}{3}\times \dfrac{22}{7}\times (7)^3[/tex]
[tex]V_2=4312[/tex]
Volume of the cane is:
[tex]V_3=\pi r^2h[/tex]
Where, r is the radius of the cane and h is the height of the cane.
[tex]V_3=\dfrac{22}{7}\times (7)^2\times 42[/tex]
[tex]V_3=6468[/tex]
Now, the volume of air left between the balls and the cane is:
[tex]V=V_3-V_2[/tex]
[tex]V=6468-4312[/tex]
[tex]V=2156[/tex]
Therefore, the volume of air left between the balls and the cane is 2156 cubic inches.
PLEASE I REALLY NEED HELP ON THIS I'LL GIVE BRAINLIEST!
Answer:
Yes Ella has enough to make 30 mince pies
Step-by-step explanation:
to make 36 mince pies you will need
400g of butter
500g of flour
300g of sugar
500g of mince meat
2 eggs
Ella has 1000g of butter
1000g of flour
500g of sugar
600g of meat
6 eggs
these ingredients are more than enough because
1000g-400g=600g-butter
1000g-500g=500g flour
500g-300g=200g sugar
600g-500g=100g mince meat
6-1= 5 eggs
if she were to follow the 36 pie recipe, which is two times the 18 pie recipe
but like I don't know, because it says a recipe for 18 mince pies, but in the box it says 12
E(5,3) and F (2,-1) are two vertices of a square EFGH and H is in the x-axis .Find the coordinates of H and G. Please need answer quick with accurate explanation.
Answer:
coordinates of H = (1, 0)
Coordinates of G = ( - 3.6, -2) or (5.6, -2)
Step-by-step explanation:
E(5,3) and F (2,-1) are two vertices of a square EFGH and H is in the x-axis.
Let the coordinates of H is (x, 0) and G is (a, b).
The length of side EF is
[tex]EF = \sqrt{(5 -2)^2 + (3 +1)^2} = 5[/tex]
So,
[tex]EH = \sqrt{(5 -x)^2 + (3 -0)^2} = 5\\\\(5 -x)^2+ 9 = 25\\\\5 - x = 4\\\\x = 1[/tex]
And
[tex]GH = \sqrt{(a -x)^2+ b^2} = 5\\\\(a -1)^2+ b^2 = 25\\\\a^2 + b^2 + 1 - 2 a = 25\\\\a^2 + b^2 - 2a = 24 .... (1)[/tex]
Now
[tex]FG = \sqrt{(a -2)^2+ (b +1)^2} = 5\\\\(a -2)^2+ (b+1)^2 = 25\\\\a^2 + b^2 + 2b - 2 a = 20\\ ..... (2)[/tex]
Solving (1) and (2)
b = - 2 ,
[tex]a = \frac{2 \pm\sqrt{4 + 80}}{2}\\\\a = \frac{2 \pm 9.2}{2}\\\\a = - 3.6, 5.6[/tex]
Roy spent 3/8 of his money on 10 identical files and 10 identical board games. He then spent 1/10 of the remainder on 6 identical staplers. A board game cost 5 times as much as a file. A stapler cost $1.50 more than a file. (a) How much did Roy spend on a file? (b) How much did Roy spend on a board game?
Question seems incomplete as the initial amount Roy has isn't given. Kindly provide Roy's initial amount
Answer:
Step-by-step explanation:
Evan tosses a ball from the roof of a building. The path of the ball can be modelled
by the following equations where h represents the height of the ball in meters and
t represents the time in seconds. Each equation below represents the EXACT same
path. Using the information you can obtain from these equations, answer the
following questions.
nu = -4(t + 1)(t-5)
h2 = -4/t - 2)2 + 36
hz = -4t? + 16 + 20
Draw a detailed SKETCH representing the path of the ball. Be sure to include titles
for your axes, appropriate scales, and critical points such as initial value, vertex and
roots of the parabola.
Answer:
Please find attached sketch of the path of the ball, having plot area and plot points, created with MS Excel
Step-by-step explanation:
Question;
The equation representing the path of the ball obtained from a similar question posted online are;
h₁ = -4·(t + 1)·(t - 5), h₂ = -4·(t - 2)² + 36, h₃ = -4··t² + 16·t + 20
The above equations represent the same path
The equation, h₁ = -4·(t + 1)·(t - 5), gives the roots of the height function, h(t), used in determining the height of the ball after time t
At (t + 1) = 0 (t = -1) or at (t - 5) = 0 (t = 5), the ball is at ground level
The ball reaches the ground, is at ground level at t = 1, and at t = 5 seconds after being tossed, where h(t) = 0
The equation of the path of the ball in vertex form, y = a·(x - 2)² + k, is h₂ = -4·(t - 2)² + 36, where, by comparison, we have;
The vertex of the ball = The maximum height reached by the ball = (h, k) = (2, 36)
The coefficient of the quadratic term, t², is negative, therefore, the shape of the parabola is upside down, ∩, shape
The sketch of the path of the ball created with MS Excel, used in plotting the vertex, the initial value and the root points of the parabola, through which the ball passes and joining of the points with a 'smooth' curve is attached
What is the midline equation of the function h(x) = -4 sin (x- pi/4)
Answer:
[tex]y = \boxed0[/tex]
Step-by-step explanation:
we are given a sin function
[tex] \displaystyle h(x) = - 4 \sin(x -\pi /4) [/tex]
we want to figure out the midline of the function graphically The midline of a sinusoidal function is the horizontal line that passes exactly in the midline of its extreme value however since we a function recall that,
[tex] \displaystyle f(x) = a \sin(bx -c) + d[/tex]
where the midline is
[tex]y = d[/tex]to figure out the midline rewrite the function
[tex] \displaystyle h(x) = - 4 \sin(x -\pi /4) + 0[/tex]
therefore the midline is
[tex]y = \boxed0[/tex]
help help help pls pls
Answer:
abcd is a quadrilateral so ,
a is ( 0,-5 )
b is ( 2,-5 )
c is ( 1,-7 )
and d is ( 0,-7 )
how many units is 12x+16
Answer:
I think the answer is 1/2
Step-by-step explanation:
because
12x=6
x=6/12
•°•x=1/2
Choose ALL of the ordered pairs that are solutions to the equation.
5y = 2x - 7
a) (6, 0)
b) ( 7, 21)
c) (8, 18)
d) ( -3, 4)
b) ( 7, 21)
Step-by-step explanation:
5(7)=2(21)-7
35=42-7
35=35
Answer:
None of them
Step-by-step explanation:
a: 5*0=2*6-7 False
b: 5*21=2*7-7 False
c: 5*18=2*8-7 False
d: 5*4=2*-3-7 False
Find f(-2) for f(x) = 3 *2^x
Answer:
3/4
Step-by-step explanation:
f(x) = 3 *2^x
Let x= -2
f(-2) = 3 *2^(-2)
= 3 * 1/2^2
= 3 /4
Answer:
It is 3/4
Step-by-step explanation:
What conclusion can be derived by comparing the central tendencies of the two data sets?
A: (7, 6, 3, 1, 6, 2, 4, 6, 3, 5;
B: {2, 2, 2, 3, 4, 5, 2, 8, 7, 6}
solution of y-x<-3
a-(6,2)
b-(2,6)
c-(2,-1)
Answer:
A
Step-by-step explanation:
Because going through 6,2.And plug it in it wil 2-6 it will be -4 and it is less than -3.
NEED ASAP
What is tan^-1(0.52)?
O A. 58.70
O B. 31.3
O C. 7210
OD. 27.50
Answer:
27.50°
Step-by-step explanation:
tan^-1(0.52) = 27.4744316° = 27.50
Please help meeeeeeeeeeeeeeeeeee...WILL GIVE BRAINLIEST
Answer: Jackie Robinson was an African American baseball player. He had accomplished-
He was well known for-
The rest is up to you :)
Im not very familiar on the story bc im in mid school but you can fill in the blanks i hope this helps you man :)
Step-by-step explanation:
Which represents the inverse of the function f(x) = 4x?
h(x) = X + 4
h(x) = x -4
h(x) = 3/4 x
h(x) = 1/4 x
Step-by-step explanation:
h(x) = 1/4 x
tha is the answer
Which function of x has the least value for they intercept?
art I) 69% 2
Amelia is 1.5 m tall. She is standing in front of a tree. Her friend places a
mirror on the ground and moves it until Amelia can see the top of the tree.
The mirror is 4 m from Amelia and 12 m from the tree. How tall is the tree?
a
Answer:
Step-by-step explanation:
this is a question about two similar triangles , one is from Amelia , the other is the tree.
1.5/4 = x/12
solve for x
4.5 = x
the tree is 4.5 meters tall
I need help with this one, its too hard for me
Answer:
<C + <D = < DEK
<D = 40
Step-by-step explanation:
The exterior angle is equal to the sum of the opposite interior angles
<C + <D = < DEK
60 + <D = 100
<D = 100 -60
<D = 40
Answer:
[tex]m\angle C+m\angle D=m\angle DEK[/tex][tex]60+m\angle D=100[/tex]
[tex]m\angle D=100-60[/tex]
[tex]m\angle D=40[/tex]--------------------------
Hope it helps...
a recipe for a cake calls for 5 1/10 cups of sugar Anjali accidentally puts in 5 3/4 cups how much extra did she put
Answer:
2/15
Step-by-step explanation:
I think not 100% on this but not so sure-
Subtract 5 1/10 from 5 3/4
5 3/4 - 5 1/10
• Subtract the whole numbers (5 and 5)
5 - 5 = 0
• LCM of the denominators (4 and 10)
= 13/20
She put an extra 13/20
Find the distance between (-5,5) and (2,-2)
Answer:
The distance is 7[tex]\sqrt{2}[/tex]
Step-by-step explanation:
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\textsf{The formula for \underline{distance between} is: }\mathsf{\sqrt{(x_2-x_1)^2 + (y_2 - y_1)^2}}[/tex]
[tex]\large\textsf{Whereas }\mathsf{x_2}\large\textsf{ is }\mathsf{2}\large\textsf{ and }\mathsf{x_1}\large\textsf{ is }\mathsf{ -5}\\\\\large\textsf{And also }\mathsf{y_2}\large\textsf{ is }\mathsf{ -2}\large\textsf{ and }\mathsf{ y_1}\large\textsf{ is }\mathsf{5}[/tex]
[tex]\mathsf{\sqrt{(2 - -5)^2+ (-2 + 5)^2}}\\\mathsf{2 - -5}\\\mathsf{= 2 + 5}\\\mathsf{= \bf 7}\\\\\mathsf{-2 + 5}\\\mathsf{= \bf -7}\\\\\mathsf{= \sqrt{(7)^2+ (-7)^2}}\\\\\mathsf{7^2}\\\mathsf{= 7\times7}\\\mathsf{= \bf 49}\\\\\mathsf{(-7)^2}\\\mathsf{= -7\times-7}\\\mathsf{= \bf 49}\\\\\mathsf{= \sqrt{49 +49}}\\\\\mathsf{49+49}\\\mathsf{=\bf 98}[/tex]
[tex]\mathsf{= \sqrt{98}}\\\mathsf{= 7\sqrt{2}}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: }\mathsf{\bf 7\sqrt{2}}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Brainly to whomever solves these proportion questions! I will give brainly to whomever has the most detailed answer, but I WILL report unrelated and unhelpful questions ( the more reports you get, the quicker you get kicked of brainly - SO DON'T TRY ME)
Answer:
a.) terry didn't line up the triangle correctly. 4/y = 20/18
b.) (20+16)/18
Step-by-step explanation:
for part a, you have to make sure the angles line up correctly (the angle with one tick mark lining up with the angle with one tick mark, the angle with two tick marks lining up with the angle with two tick marks, etc.)
for part b.) you just put the proportional lengths of the bigger triangle in for the lengths of the smaller triangle.
what is x: |3x-1| = 4
Step-by-step explanation:
here's the answer to your question
ASAPPPPPP PLEASE HELP MEEEEEEEEEEEEEEEEEEEE
Answer:
4 weeks per level
Step-by-step explanation:
notice the pint (1,4)
the next is (2, 8)
meaning that in 4 weeks she completes 1 level and in 8 weeks she completes 2 levels.
Jasmine wants to use her savings of $1,128 to buy video games and movies. The total price of the movies she bought was $72. The video games cost $43 each. Choose the inequality that would be used to solve for the maximum number of video games Jasmine can buy with her savings. A 43 + 72x ≤ 1,128 B43 + 72x ≥ 1,128 C43x + 72 ≥ 1,128 D 43x + 72 ≤ 1,128
Answer:
D
Step-by-Step Explanation:
You can mark out B and C because the amount of money they spend has to be less or equal to the amount of money they have.
A is wrong because we already know the total price for the movies. We know the price of the games are $43 each. X is the amount of game she can afford to get.
So in conclusion, D is the correct answer.
Points for late night math helpers! Thank you guys :)
Pls help me this is my homework
Answer
34 match sticks (C)
please mark me as brainliest and pls someone answer my question also
Answer:
Step-by-step explanation:
for first question your pattern is 3x+4 then 3(10)+4=34.. I mean your answer is part c
in second picture if your mean is 7 question, the answer is part 1. w=p/2_125 can not be the answer.
if your mean is 8 question, it's answer is point S. because x=5 &y=-25 then 5-(-25)=+30 it means point S.
but if your mean is the 6 question,it's answer is part 1..it means 3e+5c+2(1)
Sophia has 3 forths
of a turkey sub sandwich. She cut the sandwich into 2 equal portions to share with her friend. How much of the sandwich will each girl get?
Answer:
Each girl will get 3/8 of a sub
Step-by-step explanation:
3/4 ÷ 2
Copy dot flip
3/4 * 1/2
3/8
Each girl will get 3/8 of a sub
Ming drew the model to represent the equation 24+12=_x(8+4). What is the missing value in Ming's equation 3 4 12 24
Answer:
3 is the missing value
Step-by-step explanation:
Given
[tex]24 + 12 = \_ * (8 + 4)[/tex]
Required
Complete the blank
The model is not given; but the question can still be solved.
We have:
[tex]24 + 12 = \_ * (8 + 4)[/tex]
Add 8 to 4
[tex]24 + 12 = \_ * 12[/tex]
Add 24 to 12
[tex]36= \_ * 12[/tex]
Divide both sides by 12
[tex]3= \_[/tex]
Rewrite as:
[tex]\_ = 3[/tex]
Hence, the blank will be completed with 3
Answer:
a
Step-by-step explanation:
edg 2021
Rationalise the denominator of
2√3 + 3√2/4√3 +√2
Answer:
[tex]\frac{9+ 5\sqrt{6} }{23}[/tex]
Step-by-step explanation:
2√3 + 3√2 * 4√3 -√2
4√3 +√2 4√3 -√2
multiply by conjugate
2√3 + 3√2 * 4√3 -√2 = 18 +10√6 = 9 +5√6
4√3 +√2 4√3 -√2 46 23
Answer:
Step-by-step explanation:
To rationalize the denominator, multiply the numerator and denominator by the conjugate of the denominator.
Conjugate of 4√3 + √2 is 4√3 - √2
(2√3 +3 √2)(4√3 - √2) = (2√3 * 4√3) - (2√3*√2) + (3√2*4√3) -(3√2*√2) {Use FOIL method}
= 8*3 - 2*√6+12√6 -3*2
= 24 -2√6 +12√6 - 6
= 24 - 6 + (-2+12)√6)
= 18 + 10√6
[tex]\frac{2\sqrt{3}+3\sqrt{2} }{(4\sqrt{3}+\sqrt{2} }\\\\=\frac{(2\sqrt{3}+3\sqrt{2})(4\sqrt{3}-\sqrt{2}) }{(4\sqrt{3}+\sqrt{2} )(4\sqrt{3}-\sqrt{2} )}\\\\=\frac{18+10\sqrt{6} }{(4\sqrt{3})^{2}-(\sqrt{2})^{2} }\\\\=\frac{18+10\sqrt{6} }{48-2}\\\\=\frac{18+10\sqrt{6} }{46}\\\\\\=\frac{2(9+5\sqrt{6} )}{46}\\\\=\frac{9+5\sqrt{6} }{23}[/tex]
