[tex] \Large{\boxed{\sf x = -15}} [/tex]
[tex] \\ [/tex]
Explanation:Given equation:
[tex] \sf 9 - 3x = 54 [/tex]
[tex] \\ [/tex]
Subtract 9 from both sides:
[tex] \sf 9 - 3x - 9 = 54 - 9 \\ \\ \sf -3x = 45 [/tex]
[tex] \\ [/tex]
Divide each side by -3 :
[tex] \sf \dfrac{-3x}{-3} = \dfrac{45}{-3} \\ \\ \\ \boxed{\boxed{\sf x = -15}} [/tex]
[tex] \\ \\ [/tex]
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Tom is in a diving competition. (a) The score, S, for a dive is 60% of the total mark, m, multiplied by the difficulty
factor of the dive, d.
Write down the formula for calculating S in terms of m and d.
Answer:
S = 0.6md
Step-by-step explanation:
Formula
S = (60% of m) x dConvert 60% to decimal60%/100% = 0.6⇒ S = 0.6md[tex]⟼ \sf \: \blue { \boxed{s \: = 0.6m \times d}}[/tex]
Step-by-step explanation:
To obtain a formula for S which is scoreAs, we know it 60% is equal to 0.6
Therefore,:
[tex]⟼ \sf \: \green { \boxed{s \: = 0.6m \times d}}[/tex]
In conclusion, according to the word problem the score was 60% the total mark multiplied by difficulty as and as we all know it 60% equals 0.6 therefore the score equals 0.6m which is Marks × difficulty factor of the dive
#Study hardWhat is 5/8 times 1/2
Answer:
5/16
Step-by-step explanation:
When multiplying fractions, you multiply the numerator by the numerator & the denominator by the denominator.
So 5/8 x 1/2 = 5 x 1/8 x 2 = 5/16
Find the are of the shaded region. Are of a triangle = 1/2 base x height . 2w+2 < height. Width is 3w-1
The formula for the area of a triangle is 1 / 2 × base × height. This formula can be more easily written as Area = 1 / 2 bh. The formula of Area = 1 / 2 bh works for all triangles, no matter what size or shape.
An object moves at a speed of 20 yards per second.
What is the object's speed, in feet per second?
(1 yard = 3 feet)
A) 17
B) 23
C) 50
D) 60
Let's see
[tex]\\ \rm\Rrightarrow speed=20yd/s[/tex]
See unit given to change is ft/sSo only numerator we need to change[tex]\\ \rm\Rrightarrow Speed=20(3)=60ft/s[/tex]
Option D
how many kilometers per hour would she have been traveling over the speed limit of 60 if covered a distance of 10 km in 5 minutes
Answer:
60 MPH over the limit
Step-by-step explanation:
5 times 12 - 60
A rectangular banquet room has an area of 182 square meters and a perimeter of 54 meters. Let l and w represent the dimensions of the room in meters. Which statements describe the dimensions of the banquet room? Select all that apply.
Answer:
Choose all but C
Step-by-step explanation:
Givens
Area = 182 m^2
Perimeter = 54 m
Solution.
B: solves for the length, not the width. Area = L*w. Area / w = L. But to get to the length, you need to solve for the width. So this statement can be used. B is true.
C is not true. The length and width differ by 1 which means one of them is even and the other is odd. See below under A.
D is also true. 2L = 54 - 2w Divide both sides by 2
2L/2 = 54/2 - 2w/2
L = 27 - w
E is true.
L * w = 182 Divide both sides by w
L = 182/w
The only one we don't know about is A. We have to solve the problem to get the answer to A.
P= 2L + 2w = 54
2L + 2w = 54
L + w = 27
L = 27 - w
L*w = 182
(27 - w ) * w = 182 Remove the brackets
27w - w^2 = 182 Subtract 27w - w^2 from both sides.
0 = w^2 - 27w + 182 Notice the sign change. Subtraction does that.
This factors into
(w - 13)(w - 14)
A turns out to be true, because w can be 13 or 14. When W = 13, L = 14.
When w = 14, L = 13
A piece of wood that is 3/4 meter long is being cut into smaller pieces that are each 1/10 meter long. Which equation could be solved to find the number of pieces, n, that can be made?
Answer:
7 1/10 meter long pieces ca be made.
Step-by-step explanation:
First, find the common denominator between 3/4 and 1/10. If you multiply 1/10 by 2/2 you get 2/20. If you multiply 3/4 by 5/5 you get 15/20. Now that we have the common denominator, how many times can 2/20 go into 15/20? Since 2 x 7 = 14, the answer is 7.
651 x 5 porfavor ayudenme SIN CALCULADORA - please help me NO CALCULATOR
Answer:
3,255
Step-by-step explanation:
,
rachel bought an equal number of bowls and plates for$96. each plate cost $2 and each bowl cost $4 more than each plate. how much did she spend on all the plates
Answer:
$24
Step-by-step explanation:
Cost per plate: $2
Cost per Bowl: $2 + $4 = $6
Cost of 1 Plate and 1 Bowl: $2 + $6 = $8
Total cost of $96 divided by Cost of 1 Plate and 1 Bowl $8 = 12 sets of 1 Plate and 1 Bowl
12 plates x $2 Cost per Plate = $24
Answer:
$24
Step-by-step explanation:
Let [tex]b[/tex] = bowl
Let [tex]p[/tex] = plate
Given:
Equal number of bowls and plates for $961 plate = $2 1 bowl = $4 + $2 = $61) We can translate these into algebra. Since Rachel has equal number of bowls and plates, [tex]b=p[/tex], totaling to $96.
[tex]b=p\\2p + 6b = 96[/tex]
2) We can solve for [tex]p[/tex] these two equations simultaneously using the substitution ot elimination method. I will demonstrate using the substitution method here.
[tex]2p + 6(p) = 96\\2p+ 6p = 96\\8p = 96\\p = \frac{96}{8} \\p = 12[/tex]
So, Rachel bought 12 plates and 12 bowls since plates are equivalent to bowls.
3) Use ratio to find the the cost of the plates.
[tex]1p[/tex] = $2
[tex]12p[/tex] = $24
How much paper will be needed to cover the triangular prism shown?
A. 86 in2
B. 96 in2
C. 102 in2
D. 210 in2
The answer is 86
Yw :D
hi i don’t know how to do the question in this picture can you help
Answer:
no... I m not gonna helping you why should I help you sorry but no sorry
please help would appreciate so much
If x2 mx m is a perfect-square trinomial, which equation must be true? x2 mx m = (x – 1)2 x2 mx m = (x 1)2 x2 mx m = (x 2)2 x2 mx m = (x 4)2
An expression has numbers, variables, and mathematical operations. The equation that must be true so that x²+mx+m is a perfect square trinomial is x²+mx+m=(x+2)².
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
A perfect square trinomial is in the form (a+b)²=a²+b²+2ab. If we compare the perfect square trinomial x²+mx+m, we will get that the value of m should be such that it satisfies the equation [tex]m^2+2m[/tex]. Since there is only one value that can satisfy this equation that is 2.
Therefore, the equation that must be true so that x²+mx+m is a perfect square trinomial is x²+mx+m=(x+2)².
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Which statement is true? the equation –3|2x 1.2| = –1 has no solution. the equation 3.5|6x – 2| = 3.5 has one solution. the equation 5|–3.1x 6.9| = –3.5 has two solutions. the equation –0.3|3 8x| = 0.9 has no solution.
The statement which is true for the provided reason is the equation 3.5|6x – 2| = 3.5 has one solution.
How to find one solution of equation?If the equation is given a unique and single value of variable after solving then the equation is said one solution equation. Such equation gives exactly one solution.
The three types of solution of an equation are-
One solution-When the provides the singe value of the given variable, we get one or unique solution.No solution-When the graph of equations is equal than it provides the no solution. When the value, does not equate for the expression, then the expression has no solution.Infinite many solution-For the same line, the equation has the infinite many solutions.
The first equation given in the problem is,
[tex]-3|2x+ 1.2| = -1[/tex]
This equation has one solution. This in not correct option.
The second equation given in the problem is,
[tex]3.5|6x - 2| = 3.5 \\|6x-2|=0\\6x=2\\x=\dfrac{2}{6}\\x=\dfrac{1}{3}[/tex]
This equation has one solution. This in correct option.
Hence, the statement which is true for the provided reason is the equation 3.5|6x – 2| = 3.5 has one solution.
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Estimate 6 divided by 253 please show the work
0.023...
hope it helps...!!!
2. The table shows the number of different color balloons set up for a dart game at a carnival. Which statement is true? 4 Balloon Color red yellow orange green blue purple Number of Balloons 5 6 5 4 10 1 4 F The probability of hitting a red balloon is as likely as hitting a yellow balloon. ba G The probability of hitting a blue balloon is greater than hitting the other color balloons. H The probability of hitting a yellow balloon is less than hitting the other color balloons. J The probability of hitting a green balloon is as likely as hitting a purple balloon.
Answer: honestly good question
good luck brothah
PLEASE HELP I WILL GIVE BRAINLIEST IF CORRECT
16,22,17,23,22,16,25,19
17,23,20,28,35,21,32,21
The data set above displays the ages of the employees at grind coffe shop. Which of the following box plots represents the data set above?
The box plot that represents the ages of the employees at grind coffee shop is the third box plot.
What is a box plot?It should be noted that a box plot simply means a chart that is used in explanatory data analysis.
In this case, the box plot that represents the ages of the employees at grind coffe shop is the third box plot. It shows the distribution of the numerical data given.
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Answer:
Step-by-step explanation: All I can tell you is the answer was not Y.
Please help me I can’t figure it out
Answer:
Your answer is 4
Step-by-step explanation:
(52 - 2(2)) / (9 + 3)
(52 - 4) / (9 + 3)
48 / 12 = 4
gabriella anwswered 72 questions correctly on her multiple choice history final and earned a grade of 36%. how many total question were on final exam
Answer:
200 questions
Step-by-step explanation:
Here,
total answers Gabriella answered=72
grade = 36%
total number of question = ?(X)
We know,
36% of X = 72
or, 36x/100 = 72
or, 36x = 72*100
or, x = 7200/36
or, x = 200
A cylindrical can has an 8-cm radius and a height of 11 cm. Find its surface area.
Answer:
955.168 cm²
Step-by-step explanation:
The formula to find the surface area of a cylinder is :
Surface area = 2 π r ( r + h )
Here,
r ⇒ radius ⇒ 8 cm
h ⇒ height ⇒ 11 cm
So, Let us solve now.
Surface area = 2 π r ( r + h )
Surface area = 2 × 3.142 × 8 ( 8 + 11 )
Surface area = 50.272 × 19
Surface area = 955.168 cm²
25 points
Jose is in 8th grade, and he is researching his favorite colleges. He notices that the current cost of tuition, books and fees at one 4-year college is $14,500 per year.
What will be the total cost of tuition, books, and fees for Jose if he eventually chooses to attend this college for four years?
Here, we are given the cost of Jose for 1 year for attending college i.e $14500/year, and we need to find the total cost for Jose to attend college for 4 years, so here we can just use unitary method, we can just multiply the whole cost for 1 year by 4, to get the total cost for 4 years, as :
[tex]{:\implies \quad \sf Cost\:\: for\:\: 1\:\: year= \$14500}[/tex]
Now, multiplying by 4 on both sides will yield :
[tex]{:\implies \quad \sf Cost\:\: for\:\: 4\:\: years= \$14500\times 4}[/tex]
[tex]{:\implies \quad \boxed{\bf{Cost\:\: for\:\: 4\:\: years= \$58000}}}[/tex]
This is the required answer
The total cost of tuition, books, and fees for Jose if he eventually chooses to attend this college for four years is $58,000.
Total cost of tuitionUsing this formula
Total cost of tuition=Cost of tuition books and fees×Number of years
Where:
Cost of tuition books and fees=$14,500 per year
Number of years=4 years
Let plug in the formula
Total cost of tuition=$14,500 per year x 4 year
Total cost of tuition=$58,000
Inconclusion the total cost of tuition, books, and fees for Jose if he eventually chooses to attend this college for four years is $58,000.
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Alicia and Bennie have decided to play a game. They each draw as many flowers on paper as they can within one
minute, repeating this game many times. The number of flowers Alicia draws and the number of flowers Bennie
draws are independent. The number of flowers Alicia draws within 1 minute, A, is approximately Normally distributed
with a mean of 38 flowers and a standard deviation of 1. 8 flowers. The number of flowers Bennie draws in 1 minute,
B, is approximately Normally distributed with a mean of 41 and a standard deviation of 2. 6 flowers. Let D represent
the difference, A - B in the number of Alicia's and Bennie's flowers drawn in 1 minute
What is the probability that Alicia draws fewer flowers than Bennie in any 1 minute?
Answer:
0.829
Step-by-step explanation:
DONT just tell me the letter answer, please explain it. If you can’t read it, it says
“ The production records of a toy
manutacturing company show that 5 out
of every 75 toys have a defect. What is the
probability that a randomly selected toy
manufactured at the company will NOT
have a defect?
Answer:
Step-by-step explanation:
5/75 toys will have defect
75-5=70
70/75 will not have defect
14/15
if two dice are thrown together , what is the probability of getting an even number on one die and odd number on the other die ?
Answer:
1/2
Step-by-step explanation:
the probability of the die rolling an even number = the probability of the die rolling an odd number =1/2
Let us name these 2 dice as A and B
One die can roll an even and the other can roll an odd, in the following cases
A rolls even and B rolls odd. The probability of this happening =1/2×1/2
A rolls odd and B rolls even. The probability of this happening =1/2×1/2
∴ The required probability
=1/2×1/2+1/2×1/2
=1/4+1/4
=1/2
A right rectangular prism has a length of 2 1/2 feet, a width of 3 feet, and a height of 1 1/2
feet. Unit cubes with side lengths of 1/2 foot are added to completely fill the prism with no space remaining. What is the volume, in cubic feet, of the right rectangular prism?
Answer: 11.25 ft³
Step-by-step explanation:
We can use the volume formula to solve. I will turn the halves into 0.5 for calculation purposes.
V = L * W * H
V = 2.5 * 3 * 1.5
V = 11.25 ft³
The volume of the rectangular prism is 11.25 ft³.
A fully inflated basketball has a radius of 12
centimeters. How many cubic centimeters of air does
your ball need to fully inflate?
Express your answer in terms of pi.
Then estimate your answer using 3.14 to approximate pi
The volume of air needed is equal to the volume of the sphere, which is 7,234.56 cm^3.
How to get the volume of a sphere?The volume of air that we need is equal to the volume of the basketball.
Remember that for a sphere of radius R, the volume is:
V = (4/3)*3.14*R^3
In this case, the radius is 12cm, replacing that we get:
V = (4/3)*3.14*(12cm)^3 = 7,234.56 cm^3
Then, to fully inflate the ball, we need 7,234.56 cm^3 of air.
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Help me, please I hate homework
Answer:
in every 4minutes the farmer packed 3pint of strawberry in the morning but in the afternoon she packed 2 pints of strawberries in every 3 minutes so therefore u subtract the minutes in the morning from the afternoon minutes. so it will be 4-3 which is equal to 1
On the celsius scale, what does 0 represent? a. the theoretical coldest possible temperature b. an arbitrary number based on its inventor’s freezer c. the freezing point of water d. the natural temperature of brine
Answer:
c
Step-by-step explanation:
Answer:
C. The freezing point of water
Step-by-step explanation:
It can't be A since tempature can be negative, B doesn't make sense, and D is incorrect because the natural tempature of brine is -21 degree Celsius. Hope this helps!
From the top of a building 37 feet high, the angle of depression to a car stopped on the ground is 19 degrees. What is the distance from the car to the base of the building?
The distance from the car to the base of the building is 107.46 feet
Angle of elevation and depressionFrom the question We are given the following information
Angle of depression
Height of the building H = 37 feet
Required
distance from the car to the base of the building
Using the SOH CAH TOA identity
tan 19 = opp/hyp
tan 19 = 37/B
B = 37/tan 19
B = 37/0.34432
B = 107.46
Hence the distance from the car to the base of the building is 107.46 feet
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A train moves at a constant speed of 50 km/hr. How far will it move in 30 minutes?
A. 10 km
B. 20 km
C. 25 km
D. 45 km