Writing an expression consists of combining two or more variables, symbols, or numbers, with one or more mathematical operators to form a mathematical sentence that is based on a specific context
The expression for the total cost for bowling is 45·h + 5·f
The reason the above expression is correct is as follows:
The given parameters are;
The cost of shoe rentals for bowling per player = $5
The cost to book a lane per hour = $45
The number of people in the group of friends = f
The number of hours the friends go bowling = h
Required:
To write an expression for the total cost for the group of friends to go bowling
Solution:
Let the number of lanes the friends book= 1
The total cost, C, is the cost to book one lane at $45 per hour for h hours, plus the cost for the f number of friends to rent one shoe each at $5 per player (person)
Mathematically, C = 45·h + 5·f
The expression for the total cost for the group of friends to go bowling, is therefore;
45·h + 5·f
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A bag contains 8 red marbles, 4 blue marbles and 7 green marbles. If three marbles
are drawn out of the bag, what is the exact probability that all three marbles drawn
will be red?
Answer:
NO. OF RED =8
NO. OF BLUE=4
NO. OF GREEN=7
THEREFORE,TOTAL MARBLES=19
THEREFORE,PROBABILTY OF RED MARBLES=8/19.
What is the probability that a normal random variable with mean 6 and standard deviation
3 will fall between 5.7 and 7.5
Answer:
z-score=7.5-6 1.5
___________=______=0.5
3 3
Step-by-step explanation:
Look up -0.1 on a z-table. The result is 0.4602. The means there is a 0.4602 probability the random variable will be below 5.7.
The find the probability the random variable will be between 7.5 and 5.7, simply subtract the two probabilities we found (above) from one another:
0.6915+-+0.4602+=+0.2313
So, there is a 0.2313 probability the random variable will fall between 7.5+and 5.7.
A trapezoid has one base measuring 12', and the other measuring 13'8". What is the area in square feet if the height of the trapezoid is 9'4"?
(Remember for trapezoids A= (b1 + b2)/2 x h
Answer:
Step-by-step explanation:
buzhou一=12212+13。8.12+13.8=25.8 25.8x9.4=?242.52242.522
The area of the trapezoid is given by A = 121.26 feet²
What is a trapezoid?The Trapezoid is a 4 sided polygon. Two sides of the shape are parallel to each other and they are termed as the bases of the trapezoid. The non-parallel sides are known as the legs or lateral sides of a trapezoid.
There are three types of trapezoids , and those are given below:
a) Isosceles Trapezoid
b) Scalene Trapezoid
c) Right Trapezoid
The area of the Trapezoid is given by
Area of Trapezoid = ( ( a + b ) h ) / 2
where , a = shorter base of trapezium
b = longer base of trapezium
h = height of trapezium
Given data ,
Let the area of the trapezoid be represented as A
Now , the equation will be
Let the height of the trapezium be H = 9.4 feet
The shorter base of the trapezium a = 12 feet
The longer base of the trapezium b = 13.8 feet
Now , Area of Trapezoid = ( ( a + b ) h ) / 2
On simplifying the equation , we get
Area of Trapezium A = ( ( 13.8 + 12 ) 9.4 ) / 2
Area of Trapezium A = 121.26 feet²
Hence , the area of trapezium is 121.26 feet²
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A display case of plastic bracelets are marked 13 for $3. If Nate has $60, how many plastic bracelets can Nate get? (assume no other taxes or fees)
Answer:
$4
Step-by-step explanation:
We can write a ratio to solve
15 stickers 30 stickers
----------------- = -------------
2 dollars x stickers
Using cross products
15x = 2*30
15x = 60
Divide by 15
15x/15 = 60/15
x = 4
brainiest to whoever right !
Answer:
m<RST = 32°
m<TSQ = 58°
Step-by-step explanation:
m<RST here, meaning the angle of the whole diagram is 90 degrees as you can see.
m<RSQ + m<TSQ = m<RST
15x — 43 + 8x + 18 = 90
23x — 25 = 90
+25 +25
---------------------------
23x = 115
/23 /23
----------------------------
x = 5
Now, plug this into the equation for m<RSQ and m<TSQ to find their values.
m<RSQ = 15x — 43
= 15x - 43
= 15(5) - 43
= 75 - 43
= 32
m<TSQ = 8x + 18
= 8x + 18
= 8(5) + 18
= 40 + 18
= 58
Now, check to see if our values are right or not.
15x — 43 + 8x + 18 = 90
15(5) — 43 + 8(5) + 18 = 90
75 - 43 + 40 + 18 = 90
32 + 40 + 18 = 90
90 = 90 CORRECT
PLEASE HELP
-10+7/4p=-38
Show your work in details if you can, I have a hard time understanding this.
Answer: p=-16
hope this helps
Give the equation of a line that passes
through (9,2) and is parallel to:
y = 3x - 6
Answer:
y = 3x - 25
Step-by-step explanation:
If the line is parallel, it will have the same slope. So, the line will also have a slope of 3.
Plug in the slope and given point into y = mx + b, and solve for b:
y = mx + b
2 = 3(9) + b
2 = 27 + b
-25 = b
Plug in the slope and y intercept into y = mx + b:
y = mx + b
y = 3x - 25
So, the equation of the line is y = 3x - 25
Solve equation 3.2x=25.6
Answer:
x=8
Step-by-step explanation:
3.2x=25.6
Divide each side by 3.2
3.2x/3.2=25.6/3.2
x =8
Answer:
[tex]x = 8[/tex]
Step-by-step explanation:
[tex]3.2x = 25.6 \\ \frac{3.2x}{3.2} = \frac{25.6}{3.2} \\ x = 8[/tex]
Let U= {1,2,3,4,5,6,7,8,9,10}, A={2,4,6,8} B={1,2,3,4}, C={5,6,9}
Hello! i need help with these questions
Answer: 13. is c, 14. is yes and 15 is no
Step-by-step explanation: Try your best and you might succeed
1 A recipe for sugar cookies requires 2 cups of
flour for every 2/3 cups of sugar.
At this rate, how many cups of sugar should be used if 5 cups of flour is included?
Answer:
3 cups of sugar should be used if 5 cups of floue is included
Which equation does not have the same solution as the others
×/3 =3
X + 9 = 12
11 x= 33
X - 2 = 1
Answer:
the first cuz in
x/3 = 3
x = 9
and in others x = 3
...............
Answer:
x/3=3
Step-by-step explanation:
because is undiferned because x can not be x/3=3
Is x^3x^3x^3 equivalent to x^3^3^3
Answer:
No they aren't equivalent.
Step-by-step explanation:
x^3x^3x^3=x^3^3^3
[tex](x)^{3x^{3x^3[/tex]=[tex]x^{3^{3^3[/tex]
[tex]x^{3x^{9x}[/tex]=[tex]x^{3^{9}[/tex]
[tex]x^{27x^{2} }[/tex]=[tex]x^{27}[/tex]
Apply log on both sides
27[tex]x^{2}[/tex]logx=27logx
27[tex]x^{2}[/tex]logx/27logx=1
[tex]x^{2}[/tex]=1
This is true if x=1 , -1.
The values are equivalent if x=1 and -1 , otherwise no they aren't equivalent.
Given MP with M(-12, -5) and P(9, -12), if N lies on MP such that the ratio of MN to NP is 3:4, find the coordinates of N.
Answer:
(-3,-8)
Step-by-step explanation:
MN:Np=3:4 Let m:n=3:4
Use the formula
xN=(xM*n+xP*m)/(m+n)
yN=(yM*n+yP*m)/ (m+n)
xN= ((-12)*4+9*3)/ (4+3)=-3.
yN=((-5)*4+(-12)*3)/(4+3)=-8.
Solve the inequality and enter your solution as an inequality in the box below,
using "<=" for sor">=' for if necessary.
-2(5x + 1) > 48
Answer:
x < -5
Step-by-step explanation:
-2(5x+1) >48
-10x-2 > 48
-10x-2+2 > 48+2
-10x > 50
p.s : when dividing by a negative number with inequalities, change the sign, i.e. < would then be >....
therefore:
x < -5
A rectangular plastic tub is 70 centimetres long, 30 centimetres wide, and 30 centimetres tall. How many litres of water will it hold?
Can you conclude that this parallelogram is a rectangle? Explain.
Answer:
The answer is B.
Step-by-step explanation:
All parallelograms that have congruent diagonals are rectangles.
find the measure of angle of ABF
Answer: m∠ABF = 120°
Concept:
Here, we need to know the idea of the corresponding angle theorem and linear pair postulate.
The corresponding angle theorem states that if a transversal cuts two parallel lines, their corresponding angles are congruent.
The linear pair postulate states that two angles that form a linear pair are supplementary.
Solve:
Given information
m∠ABF = m∠ABF = 2x + 3x
According to the corresponding angle theorem, ∠ABF is congruent to ∠BCI which is 2x + 4x.m∠BCH = 3x
Total angle = 180°
∠ABF and ∠BCH are linear pairs which means they form a supplementary angle.Given equation
m∠ABF + m∠BCH = Total Angle
Substitute values into the equation
2x + 4x + 3x = 180
Combine like terms
9x = 180
Divide 9 on both sides
9x / 9 = 180 / 9
x = 20
m∠ABF = 2x + 4x = 2 (20) + 4 (20) = 40 + 80 = 120°
Hope this helps!! :)
Please let me know if you have any questions
how many inches is in 140 feet?
Hey there!
The formula for feet to inches is to simply multiply the length value by 12.
So, multiply 140 by 12.
I believe your answer would be 1680 inches.
Hope this helps!
Have a great day!
Answer:
140 feet is 1680 inches. Don't forget to put your units in; your teacher may dock off points for forgetting to put in the unit.
Step-by-step explanation:
A foot is 12 inches, so you must multiply 140 by 12.
[tex]140\times12=1680[/tex]
write and solve an equation to find the value of X. please explain in details and show your work!
Answer:175 degrees
Step-by-step explanation: The shape isn't properly drawn.But,I assumed it is a five sided polygon because of the fifth ange
2/3 divided by 3/10
Thanks
Answer:
[tex] \frac{20}{9} [/tex]
Step-by-step explanation:
[tex] \frac{2}{3} \div \frac{3}{10} [/tex]
➡️ [tex] \frac{2}{3} \times \frac{10}{3} [/tex]
➡️ [tex] = \frac{20}{9} [/tex] ✅
Find the area of this triangle.
8 m
14 m
A = [?] m2
Answer:
A = 56 m^2
Step-by-step explanation:
The area of a triangle is
A = 1/2 bh where b is the base and h is the height
A = 12 (14)(8)
A = 56 m^2
Find the opposite of: - 4x2 - 4x + 2
Answer:
4x² + 4x - 2
Step-by-step explanation:
The opposite is the negative value
The opposite of - 4x² - 4x + 2 is
- (- 4x² - 4x + 2) ← distribute parenthesis by - 1
= 4x² + 4x - 2
100000-76585 full formula
Answer:
Bro it is simple the answer is 23415
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Which set of ordered pairs represents a function?
{(9,–7), (1, -3), (6, 7), (6, -6)}
{(-7,7), (5,3), (-7, -7),(1, -9)}
{(8,-6), (-9,2), (-9, -8), (-3,4)}
{(-5, -5),(-9,0),(-8,5), (-6,5)}
Answer:
{(-5, -5),(-9,0),(-8,5), (-6,5)}
Step-by-step explanation:
A function cannot have a domain that is assigned to multiple values (range).
The first set has 6 assigned to both 7 and -6.
The second set has -7 assigned to both 7 and -7.
The third set has -9 assigned to both 2 and -8.
for the following geometric sequence find the explicit formula. {12, -6, 3, ...}
Answer:
It's geometric sequence where a_1=12, q=-\dfrac{1}{2}a
1
=12,q=−
2
1
So a_n=12\cdot\left(-\dfrac{1}{2}\right)^{n-1}a
n
=12⋅(−
2
1
)
n−1
Answer:
[tex]a_{n}[/tex] = 12 [tex](-\frac{1}{2}) ^{n-1}[/tex]
Step-by-step explanation:
The nth term of a geometric sequence is
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = 12 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{-6}{12}[/tex] = - [tex]\frac{1}{2}[/tex] , then
[tex]a_{n}[/tex] = 12 [tex](-\frac{1}{2}) ^{n-1}[/tex] ← explicit formula
What is the correct answer I will give brainlist only if correct answer ASAP
Answer:
4 tickets left
Step-by-step explanation:
Dividing 276 by 8 gives you a remainder of 4.
I have one flat face 1 curved face 1 edge or corner I am aI have 6 equal square faces 12 edges and 8 vertices I am a
Answer:
A . sphere B. Square
Step-by-step explanation:
........
Solve the following using the order of operations 15+5x8
Answer:
55
Step-by-step explanation:
Order of operations lists Multiplication before Addition.
So...
8 x 5 = 40
40 + 15 = 55
Answer:
55
Step-by-step explanation:
you have to do 5x8 first and you get 40 and then you add 15
a rectangular garden is 3 times as long as it is wide .the perimeter is 32m . find the dimensions of the garden
Answer:
Width= 4
length= 12
perimeter= (16+4)×2
3x+3x+x+x=32, let x be the dimensions
8x=32
x=4
so 3(4)=12
A radio telescope has a parabolic surface, as shown below.
A parabola opening up with vertex at the origin is graphed on the coordinate plane. The height of the parabola from top to bottom is 9 meters and its width from left to right is 12 meters.
If the telescope is 9 m deep and 12 m wide, how far is the focus from the vertex?