The value of x will be equal to 3 for the given expression.
What is a fraction?The fraction is defined as the division of the whole part into an equal number of parts.
Given expression is solved as:-
[tex]\dfrac{\dfrac{3}{4} }{\dfrac{6}{x}} = \dfrac{3}{8}[/tex]
[tex]\dfrac{3}{4}\times \dfrac{x}{6}=\dfrac{3}{8}[/tex]
[tex]\dfrac{x}{8}=\dfrac{3}{8}[/tex]
x = 3
The value of x will be equal to 3 for the given expression.
Therefore the value of x will be equal to 3 for the given expression.
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Jacob has 2 kilograms of flour. If his brother has one gram more than Jacob, how many grams of flour does Jacob's brother have?
A box is 9 inches by 11 inches. The donuts have a radius of 1.25 inches. How many donuts can fit in the box?
Answer:
14 donuts
Step-by-step explanation:
Packing circles in a rectangular space is always an interesting problem. Sometimes, it works well to put them on a grid. Other times, more circles can be packed in if they are somewhat off-grid. The details depend on the specific dimensions.
The attached shows a way to fit 14 donuts in the box.
_____
Additional comment
Packing them on a square grid allows only 12 donuts to be put in the box.
10)
Ross has (8x-5) tickets for Chuck E Cheese. He is going to play today and wants to buy
a prize that is (15x+1) tickets. How many tickets must be win to have enough tickets to buy the
prize?
Answer:
(7x + 6) tickets
Step-by-step explanation:
Tickets Ross has : 8x - 5
Tickets Ross needs : 15x + 1
To find out the remaining amount, subtract the tickets Ross has from the number of tickets he needs.
15x + 1 - (8x - 5)15x + 1 - 8x + 5(7x + 6) ticketsMust ticket win
Prize-Previous amount15x+1-(8x-5)15x+1-8x+515x-8x+1+57x+6 ticketsA design for a garden is composed of a triangle and 2 rectangles. Some side lengths of the garden design are shown.
What is the area of the garden in square feet?
Answer:
215.625square feet
Step-by-step explanation:
area rectangle = l x w = 7.5x12.5
area triangle = ½ x b x h = ½x 7.5 x 7.5
area of shape = 93.75+93.75+28.125= 215.625square feet
find the volume of the shape
Answer:
hmmm the mass are the numbers of the up and volume of the bottom
Step-by-step explanation:
Determine the measure of LUXW in the diagram.
Y
66°
U
W
X
The measure of LUXW is
57°
Z
Answer:
33°
Step-by-step explanation:
Where a transversal crosses parallel lines at right angles, all of the angles at their points of intersection are right angles.
__
Angles at U are right angles, congruent to ∠UXZ. So, acute angle UXW in right triangle UXW is the complement of acute angle UWX:
∠UXW = 90° -57° = 33°
in need of help! please help!
Answer:
3 1/4 if im not mistaken ive done the math so im pretty sure im right :)
Step-by-step explanation:
heres what i did:
i added everything that would make 2 3/4 then added the remaining together to get 3 1/4 which the question wanted you to see the reaming bit so 3 1/4 was the remaining sorry if that was confusing
share the ration .....
Answer:
Tom: £166
Ben: £581
Step-by-step explanation:
In the ratio 2 : 7 there are 9 portions total (2 + 7 = 9).
£747 / 9 = £83
For Tom:
£83 * 2 = £166
For Ben:
£83 * 7 = £581
Checking our work:
Since the decimals are the same, this means the ratios are equal.
2/7 = 0.2857
166/581 = 0.2857
What are the phrase in a business cycle
simplify (-1 1/2) ÷ 3/4 x -2/3
Answer:
Step-by-step explanation:
1[tex]\frac{1}{2}[/tex]=1×[tex]\frac{2}{2}[/tex], +[tex]\frac{1}{2}[/tex]
(-[tex]\frac{3}{2}[/tex])÷[tex]\frac{3}{4}[/tex]×(-[tex]\frac{2}{3}[/tex])
[tex]\frac{3}{2}[/tex]×[tex]\frac{4}{3}[/tex]×[tex]\frac{2}{3}[/tex]
[tex]\frac{1}{2}[/tex]×4×[tex]\frac{1}{3}[/tex]
4×[tex]\frac{1}{3}[/tex]=[tex]\frac{1}{3}[/tex]+[tex]\frac{1}{3}[/tex]+[tex]\frac{1}{3}[/tex]+[tex]\frac{1}{3}[/tex]
=[tex]\frac{4}{3}[/tex]
Which figure could Jose have constructed?
Answer:
what is the figure so i can awnser iit
Step-by-step explanation:
?
Linda asked the students of her class their hockey scores and recorded the scores in the table shown below:
Hockey Scores
Score Number of Students
0 2
1 1
2 3
3 6
4 2
5 3
6 2
Based on the table, what is the mean hockey score?
2.7
2.9
3.2
5.2
Answer:
C) 3.2
Step-by-step explanation:
[tex]\text{Mean}=\frac{2(0)+1(1)+3(2)+6(3)+2(4)+3(5)+2(6)}{19}\approx3.2[/tex]
Answer:
2.7
Step-by-step explanation:
the hockey score is 2.7
Part A - determine the slope of Line MN.
Part B - determine the length of line MN.
o is the centre of the circle find the size of each angle
Answer:
In the figure,
AC is the diameter of circle with centre O
∠DAC=37
o
AD || BC
∠ACB=∠DAC (Alternate angles)
Hence,
x=37
o
In Δ ABC,
∠B=90
o
(angle in semicircle)
By angle sum property of triangle, we get,
∠x+∠y+∠B=180
o
37
o
+∠y+90
o
=180
o
∠y=180
o
−127
o
We get,
∠y=53
o
Step-by-step explanation:
The variables x and y vary inversely. Use x = 4 and y = 8 to write an equation relating x and y. Then find y when x
= 2.
Answer:
y=[tex] \frac{32}{x} [/tex]16Step-by-step explanation:
y=
[tex] \frac{k}{x} [/tex]
when x=4 and y = 8
k =xy
k=4×8=32
:- y=
[tex] \frac{32}{x} [/tex]
when x = 2
y=
[tex] \frac{32}{2} [/tex]
:- y = 16
NEED HELP ASAP
The system has
One solution
Two solutions
No solution
An infinite number of solutions
Answer:
The answer is one solution because the graphs are together in one specific point.
Answer:
Two solutions
Step-by-step explanation:
help me slove this please i really need thee answer
There are 50 roses in a tray. There is at least 1 red rose among any 24 randomly selected roses, and there is 1 white rose among any 28
randomly selected roses. How many white roses are there? QUICK PLS
So probability of red rose is 1/24
Probability of white rose is 1/28
TOTAL roses= 50
P(A)=(1/24)P(B)=1/28=0.035P(AUB)=1/50P(A$\cap$ B)=1/24+1/28-1/50
175+150-84/4200241/4200=0.057So Probability of white is
0.057-0.0350.022Step one 3(x+4)+2=2+5(x-4)
Answer: 16
Here are the steps to solve for x:
3(x+4) + 2 = 2+5(x-4)
1. Distribute to get rid of the parentheses
3x+12+2 = 2+5x-20
2. Combine like terms
3x+14 = 5x -18
3. Get like terms on the same side
3x+14 = 5x -18
-14 -14
3x = 5x -32
-5 -5
-2x = -32
4. Divide by -2 to isolate x
-2/2 x = -32/2
x=16
help i need a answer asap
The number of times Jennifer rolls a number less than 3 in a number cube when she rolls it 60 times is 40.
How to find the probability of an event?The probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.
The probability of rolling a number less than 3 on a number cube is 2/6.
[tex]P( > 3)=\dfrac{2}{6}[/tex]
Here, the Jennifer rolls a number cube 60 times. Thus, the number of times she rolled the number less than 3 in this cube is,
[tex]n=\dfrac{2}{3}\times60\\n=40[/tex]
Thus, the number of times Jennifer rolls a number less than 3 in a number cube when she rolls it 60 times is 40.
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What am I supposed to do here?
Answer:
here is your answer.
Step-by-step explanation:
total frequency is 24
What is the perimeter of this rectangle?
Answer:
6[tex]\sqrt{17}[/tex] or 24.738634
Step-by-step explanation:
We can use the Pythagorean theorem to find the length of the sides. We will only need to find the length of AB and AD, as AB = DC and AD = BC.
The picture shows the Pythagorean theorem being used to find AB and AD.
AB = [tex]\sqrt{17}[/tex]
AD = [tex]\sqrt{68}[/tex]
Now we can find the perimeter
2([tex]\sqrt{17}[/tex]) + 2([tex]\sqrt{68}[/tex]) = 6[tex]\sqrt{17}[/tex]
harriet took 48 minutes to ride her bike the distance from her house to the town library. if she rode at a constant rate, what fraction of the total distance did she ride in the first 12 min
Answer:
1/4
Step-by-step explanation:
If total ride is 48 minutes, then she should have covered 1/4 the distance in 12 minutes cuz in 24 minutes she would cover 1/2 and in 36 minutes should would cover 3/4 and in 48 minute should cover the ride 1.
In a house, there is a small statue in the shape of a cylinder. The cylinder has a diameter of 8 inches and a height of h inches
Which equation can be used to find V, the volume of the cylinder in cubic inches?
The equation that best represent the volume of the cylinder in cubic inches is V = π4²h.
What is a cylinder?A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.
The volume of a cylinder is expressed as;
V = π × r² × h
Where r is radius of the circular base, h is height and π is constant pi.
Given that;
Diameter d = 8inRadius r = d/2 = 8in/2 = 4inHeight = hVolume of the cylinder V = ?V = π × r² × h
V = π × (4)² × h
V = π4²h
Therefore, the equation that best represent the volume of the cylinder in cubic inches is V = π4²h.
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There are 250 tracksuits in a box. The sport sold 1/5 of the tracksuits on monday, 1/10 on tuesday, 2/5 on wednesday and the rest on thursday. how many tracksuits were sold on thursday?
Answer:
145
Step-by-step explanation:
you add the trucksiuts sold on monday Tuesday Wednesday and subtrct the from the total tracksuits .
If you complete the square in the quadratic equation , you get the quadratic formula for the solutions x _______.
Answer:
[tex]D. \ \ x=\frac{-b\pm \sqrt{b^{2}-4ac} }{2a}[/tex]
Step-by-step explanation:
ax² + bx + c = 0
[tex]a\left( x^{2}+\frac{b}{a} x+\frac{c}{a} \right) =0[/tex]
[tex]a\left( \left( x+\frac{b}{2a} \right)^{2} -\frac{b^{2}}{4a^2}+\frac{c}{a} \right) =0[/tex]
[tex]a\left( \left( x+\frac{b}{2a} \right)^{2} -\frac{b^{2}-4ac}{4a^2}\right) =0[/tex]
[tex]a\left( x+\frac{b}{2a} \right)^{2} -\frac{b^{2}-4ac}{4a}=0[/tex]
[tex]a\left( x+\frac{b}{2a} \right)^{2} =\frac{b^{2}-4ac}{4a}[/tex]
[tex]\left( x+\frac{b}{2a} \right)^{2} =\frac{b^{2}-4ac}{4a^2}[/tex]
[tex]x+\frac{b}{2a} =\frac{\pm \sqrt{b^{2}-4ac} }{2a}[/tex]
[tex]x=\frac{-b\pm \sqrt{b^{2}-4ac} }{2a}[/tex]
Directions:Solve this equation
[tex]5 + 5x= 12x - \frac{12}{5} \times 7\div 5[/tex]
Thanks to whoever answers! <3
Answer:
-3.21538461538
Step-by-step explanation:
[tex]\mathrm{Equation\;Given:}\; 5+5x=\frac{12x-\frac{12}{5}\cdot \:7}{5}[/tex]
[tex]\mathrm{Multiply\;both\;sides\;by\;5}:[/tex] [tex]5\cdot \:5+5x\cdot \:5=\frac{12x-\frac{12}{5}\cdot \:7}{5}\cdot \:5[/tex]
[tex]\mathrm{Now\;we\;have\;}:[/tex] [tex]25+25x=12x-\frac{84}{5}[/tex]
[tex]\mathrm{Subtract\;by\;sides\;by\;25}:[/tex] [tex]25+25x-25=12x-\frac{84}{5}-25[/tex]
[tex]\mathrm{Thus\;we\;have}:[/tex] [tex]25x=12x-\frac{209}{5}[/tex]
[tex]\mathrm{Subtracting\;12x\;from\;both\;sides}:[/tex] [tex]25x-12x=12x-\frac{209}{5}-12x[/tex]
[tex]\mathrm{So\;then\;we\;have:}[/tex] [tex]13x=-\frac{209}{5}[/tex]
[tex]\mathrm{Now\;divide\;both\;sides\;by\;13}:[/tex] [tex]\frac{13x}{13}=\frac{-\frac{209}{5}}{13}[/tex]
[tex]\mathrm{Hence\;we\;have}:\;\;x=-\frac{209}{65}[/tex]
[tex]\mathrm{Decimal\;form}:-3.21538461538[/tex]
Kavinsky
in a semiconductor company's quality control test, a machine found that 22 out of a sample of 600 computer chips were defective how many of the 36,000 computer chips the company makes each would you expect to be defective?
Answer:
1320 should be expected
Step-by-step explanation:
22 = 600
x10
220 = 6,000
x6
1320=36,000
line passing through points (3,5) with a slope of 1
Write equation of the line in point-slope, slope- intercept, and standard form.
The linear equation with a slope of 1 that passes through (3, 5) is:
y = x + 2.
How to get the linear equation?
The general linear equation is given by:
y = a*x + b
Where b is the y-intercept and a is the slope.
Here we know that the slope is 1, so we have:
y = x + b
And we also know that the line passes through (3, 5), then we must have that:
5 = 3 + b
We can solve that for b:
b = 5 - 3 = 2
So the linear equation is:
y = x + 2.
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suppose you throw a ball straight up from the ground with a velocity of 224 feet per second. as the ball moves up, gravity slows it. eventually, the ball begins to fall back to the ground. the height h of thr ball after t seconds in the air is given by the equation h=-16t^2 + 224t. use the given information to answer.
a. find the height of the ball after four seconds. (type a whole number)
b. how long will it take the ball to reach a height of 768 ft?
c. how long after you throw the ball will it return to the ground? (type w whole number)
a. The height of the ball after four seconds is 640 ft
b. The time the ball reachs a height of 768 ft is 6 s or 8 s.
c. The time the ball reachs the ground after it is thrown is 14 seconds.
Since the height of the ball is a parabola, we need to know the equation parabola is
What is a parabola?A parabola is an equation of the form x(t) = at² + bt + c
a. Height of the ball after four secondsThe height of the ball after four seconds is 640 ft
Since the height of the ball is represented by the equation h(t) = -16t² + 224t. The height of the ball after four seconds is when t = 4.
So, h(t) = -16t² + 224t.
h(4) = -16(4)² + 224(4)
h(4) = -16(16) + 224(4)
h(4) = -256 + 896
h(4) = 640 ft
The height of the ball after four seconds is 640 ft
b. How long will it take the ball to reach a height of 768 ft?The time it takes the ball to reach a height of 768 ft is 6 s or 8 s.
To find this time, we substituie h = 768 into the equation for the height of the ball.
So, h(t) = -16t² + 224t
768 = -16t² + 224t.
16t² - 224t + 768 = 0
t² - 14t + 48 = 0
Using the quadratic formula, we find t
[tex]t = \frac{-(-14) +/- \sqrt{(-14)^{2} - 4 X 1 X 48} }{2 X 1} \\t = \frac{14 +/- \sqrt{196 - 192} }{2}\\t = \frac{14 +/- \sqrt{4} }{2}\\t = \frac{14 +/- 2 }{2}\\t = \frac{14 + 2 }{2} or t = \frac{14 - 2 }{2}\\t = \frac{16}{2} or t = \frac{12}{2}\\t = 8 or 6[/tex]
So, the time it takes the ball to reach a height of 768 ft is 6 s or 8 s.
c. How long after you throw the ball will it return to the ground?The time it takes the ball to reach the ground after it is thrown is 14 seconds.
To find the time it takes the ball to reach the ground, the height, h = 0.
So, h(t) = 0
-16t² + 224t = 0
-16t(t - 14) = 0
t(t - 14) = 0
t = 0 or t - 14 = 0
t = 0 or t = 14 s
So, the time it takes the ball to reach the ground after it is thrown is 14 seconds.
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