Step-by-step explanation:
please make sure that fractions are still in the problem text after scanning it.
because they are missing here, and I have to guess around.
Basically the problem is
x + 1/a × x = 15
that means
ax + x = 15a
(a+1)x = 15a
x = 15a/(a+1)
for a = 2 (so, 1/2 x is added to x), we get
x = 15×2/3 = 30/3 = 10
for a = 4 (1/4 of x is added to x), we get
x = 15×4/5 = 60/5 = 12
these are also the first 2 answer options. so, please pick the one that fits the complete problem definition.
the 3rd and 4th answer options are nonsense anyway, as when you add something greater than 0 to x and get 15, then the initial x cannot be already 15 or even bigger.
f(x)= [[x]] is the "greatest integer" function. The range of f(x) = x-[[x]] is:
Nilai dari sin 135, bantuin kakk pliss
Answer:
[tex] \frac{ \sqrt{2} }{2} \: or \: 0.7071[/tex]
Step-by-step explanation:
[tex] \sin(135) = \frac { \sqrt{2} }{2} \: or \: 0.7071 [/tex]
Givin that m < QST = 135 solve for x and find each angle
By solving a linear equation we can see that the value of x is 28, and with that, we can see that the measure of the left angle is 85 degrees, and the measure of the right angle is 50 degrees.
How to find the measures of the angles?
We know that the angle at vertex S measures 135°, then we can write the linear equation:
(3x + 1)° + (2x - 6)° = 135°
First, we need to solve this for x.
3x + 1 + 2x - 6 = 135
5x - 5 = 135
5x = 135 + 5 = 140
x = 140/5 = 28
Now that we know the value of x, we can find the two measures, which are:
QSR = (3x +1) = (3*28 + 1)° = 85°
RST = (2x - 6)° = (2*28 - 6)° = 50°
The measure of the left angle is 85 degrees, and the measure of the right angle is 50 degrees.
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16^((3)/(8))* 16^((1)/(8))
Andrei had cinnamon-scented jar candle that burned for 303030 hours and a berry-scented pillar candle that burned for 888888 hours. relative to its type, which candle burned faster?
The cinnamon-scented jar candle brunt faster.
What does relative speed means ?Relativity means observing some action with different perspective.
Suppose you are moving in a bus at 100 km/hr and you are reading a book.To an observer which you are passing by you and the book he observes moving at a speed of 100 km/hr.But for you the book is not moving at all because both you and the book is moving at a speed of 100 km per hour.
According to the given question Andrei had cinnamon-scented jar candle that burned for 303030 hours and a berry-scented pillar candle that burned for 888888 hours.
From the given data of burning hours we can observe that berry-scented pillar candle that burned for 888888 hours which is more that of Andrei had cinnamon-scented jar candle that brunt for 303030 hours because
30303030 < 888888.
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3x - 5y = 13
y=x-3 please helo
the equation of the line that goes through the points (−3,−4) and (9,7) can be written in the form y
The equation of the line that goes through the points (−3,−4) and (9,7) can be written in the form 5x - 12y = -75.
What is an equation?An is a mathematical statement composed of two expressions joined by an equal sign. An equation is 3x - 5 = 16. By solving this equation, we obtain the value of the variable x as x = 7.To find the equation:
The available points are (3,5) and (9,10).
The line's slope is given by:
[tex]\mathrm{m}=\frac{(10-5)}{[9-(-3)]}=\frac{5}{12}[/tex]
The equation is as follows:
[tex]\begin{aligned}&y-5=\left(\frac{5}{12}\right)[\mathrm{x}-(-3)] \\&\mathrm{y}-5=\left(\frac{5}{12}\right)(\mathrm{x}+3)\end{aligned}[/tex]
Solve it to obtain the equation:
[tex]\begin{aligned}&12 y-60=5 x+15 \\&5 x-12 y=-75\end{aligned}[/tex]
Therefore, the equation is 5x - 12y = -75.
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The correct question is given below:
Find an equation of the line through the points (−3,5) and (9,10) and write it in standard form Ax+By=C, with A>0.
Select all the data sets with a range greater than 10. (2 points)
4 5 6 7 13
1 5 7 8 14
10 11 14 17 18
5 7 9 21 23
11 11 11 11 11
The data sets with a range that is greater than 10 are:
1 5 7 8 14
5 7 9 21 23
What is the Range of a Data Set?The range of any given data set is the difference between the largest and the lowest data point in the data set.
Range for 4 5 6 7 13:
Range = 13 - 4 = 9
Range for 1 5 7 8 14:
Range = 14 - 1 = 13
Range for 10 11 14 17 18:
Range = 18 - 10 = 8
Range for 5 7 9 21 23:
Range = 23 - 5 = 18
11 11 11 11 11 has no range.
Therefore, the data sets with a range that is greater than 10 are:
1 5 7 8 14
5 7 9 21 23
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On a map with a scale 1 : 100,000, the distance between two cities is 12 cm. What would be the distance between these two cities on a different map with a scale 1 : 300,00?
Answer:
36 cm
Step-by-step explanation:
In FGH, g = 140 inches, f= 980 inches and to the nearest degree.
Answer:
1204.7 in
Explanation:
What does heuristic mean?
1) a randomly generated number
2) a function in excel
3) rule of thumb
4) an equation
Answer:
3.) rule of thumb
Step-by-step explanation:
In the year 2000, a company made $2.2 million in profit. for each consecutive year
after that, their profit increased by 13%. how much would the company's profit be in
the year 2003, to the nearest tenth of a million dollars?
The company's profit in the year 2003 is $3.1 million
Profit is defined as the amount of revenue generated after deduction of all the liabilities.
Given that in the year 2000 profit = $2.2 million
Each year increase in profit = 13% =0.13
Total number of year = 2003-2000=3 years
Profit is denoted by
[tex]profit=initial profit(1+each.year.increase)^{years}[/tex]
Substituting the values we get
profit=[tex]2.2(1+0.13)^3[/tex]
=[tex]2.2(1.13)^3=2.2*1.442897[/tex]
=3.174373
=3.1 million
Therefor , the company's profit in the year 2003 is $3.1 million
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i’m not sure on how to solve this equation. 10(2y+2)-y=2(8y-8)
Answer:
-12
Step-by-step explanation:
Distribute
20y+20-y=16y-16
Combine like terms
19y+20=16y-16
subtract 16y from 19y and subtract 20 from -16
3y=-36
Divide by 3
y=-12
There is enough information to prove that triangles tno and gcm are congruent. true false
False, there is not enough information provided to Prove that both the triangles are congruent.
What is the congruent triangle?
Triangles have three sides and three angles, as we discovered in pre-algebra. We also discovered that a triangle's total angle is 180 degrees.
Congruent triangles are two triangles that are the same size and shape. Two congruent triangles remain congruent even if we flip, turn, or rotate one of them.
Two triangles must have the same angles and, as a result, must be congruent if their sides are the same. If two triangles are congruent or not, we may determine this simply by looking at their sides.
These two triangles are also equivalent if we know that two sides of one triangle and the angle between them are congruent to two sides and the angle between them of another triangle.
If we know that two angles and the side between them in one triangle are congruent with two angles and the side between them in another triangle, then these two triangles are probably congruent.
When two angles and a non-included side in one triangle are congruent to the corresponding angles and side of another triangle, we are left with the final scenario that results in congruent triangles.
The given data doesn't satisfy any of the conditions.
Hence, there is not enough information provided to Prove that the two triangles are congruent.
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Answer:
tru but u gotta put a picture next time man
Step-by-step explanation:
A college student is moving into a campus dormitory. The student rents a moving truck for $19.95 plus $.99 per mile. Before returning the truck, the student fills the tank with gasoline, which costs $65.32. The total cost is $144.67. How many miles did the student drive the truck?
The number of miles covered by the student is; 54.45 miles.
How many miles did the student cover?The college student in discuss incurs a total cost of $144.67.
On this note, the cost incurred over the miles covered can be determined as follows;
= $144.67 - $19.95 - $65.32
= $59.4
Hence, since the cost of one mile is $59.4, it follows that the number of miles covered is;
No. of miles = 54.9/0.99
= 54.45 miles.
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Here is a scale drawing of a window frame that uses a scale of 1 cm to 6 inches.
Compare the scale drawing of a window frame that uses a scale of 1 cm to 12 inches.
the second drawing if the window frame will be 1 / 2 the size of the first drawing of the window frame.
We have that:
Scale of the first drawing is 1 cm to 6 inches.
It can be written in ratio as:
1 : 6
Now the scale of the other drawing of a window is
1 cm to 12 inches.
which can also be written in ratio as:
1 : 12
By comparing both the ratios, we can see that the first drawing is twice in size as the second drawing as it only includes 6 inches in 1 cm.
That mens the second drawing if the window frame will be 1 / 2 the size of the first drawing of the window frame.
Therefore, we get that, the second drawing if the window frame will be 1 / 2 the size of the first drawing of the window frame.
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Necesito ayuda con los ejercios 3,5,7,9,11,13
Slope of the line passing through (-5,-4) and (-1,3)is 1.75
The slope formula
slope = (y₂ - y₁) / (x₂ - x₁)
Notice that the slope of a line is easily calculated by hand using small, whole number coordinates. The formula becomes increasingly useful as the coordinates take on larger values or decimal values.
The points belong to an increasing, linear function.
Equation: y = 1.75x + 4.75.
m=7/4=1.75.
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The function f is defined by the following rule
f(x)=2x-1
Complete the function table
The table can be filled as,
-7
-5
-1
1
9
can someone help me with these
Answer:
for the triangle question the ans is 2
for the equation question where u have to find the mistake the student made, its the last option
How do I do the histogram
The histogram that represents this data-set is given at the end of the answer.
What is an histogram?An histogram is a graph that shows the number of times each element of x was observed.
When measures are spaced out, such as is the case in this problem, the bins of the histogram represent an interval of values. Hence, in this problem, we consider that:
6 measures are between 160 and 220.3 measures are between 220 and 280.4 measures are between 280 and 340.3 measures are between 340 and 400.2 measures are between 400 and 460.The histogram considering these intervals is given at the end of the answer.
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Please help!!!! need help ASAP ahhhhhh
Is it possible to construct a cube with 2000
interlocking cubes? Justify your answer.
It is possible to construct a cube with 2000
interlocking cubes depending on the sides for each.
How to illustrate the information?It should be noted that a cube had 6 equal faces. In this case, a cube with 2000 interlocking faces can't be constructed with equal number of faces.
In this case, the sides will be:
= 2000 / 6
= 333.33
In this case, it should be noted each side will be 333.33.
Also, if you want each to be a whole number, this won't be possible.
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Javid makes a large container of fruit juice by mixing orange juice and mango juice in the ratio 3:7 Orange juice costs £6 per 4 litres. Mango juice costs £5 per 10 litres.Javid sells his fruit juice in 2-litre bottles for £2 per bottle. Calculate how much profit he makes for each bottle he sells.
Javid will make a profit of £ 0.40 for each bottle sold.
How much profit does Javid makes for each bottle he sells?
The orange juice capacity to mango juice capacity ratio, the unit cost for each juice and the end product price. First, determine the amount of orange juice and mango juice to produce a 2-litre bottle:
Orange juice capacity
x = (3 / 10) × 2 L
x = 0.6 L
Mango juice
y = (7 / 10) × 2 L
y = 1.4 L
Second, calculate the cost of each juice by simple rule of three:
Orange juice
x' = (0.6 L / 4 L) × 6 GBP
x' = 0.90 GBP
Mango juice
y' = (1.4 L / 10 L) × 5 GBP
y' = 0.70 GBP
Third, add the two results found in the previous step and find the production cost for a 2-litre bottle:
z = x' + y'
z = 0.90 GBP + 0.70 GBP
z = 1.60 GBP
Fourth, calculate the profit by subtracting the result found in the previous step to the end product price:
z' = 2 GBP - 1.60 GBP
z' = 0.40 GBP
Javid will make a profit of £ 0.40 for each bottle sold.
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15. If the endpoints of a diameter of a circle are (2, -1) and (4, 0), what is the y
coordinate of the center of the circle?
Y = -0.5
The center point of a straight line can be located using the midpoint formula. You may occasionally need to determine the difference between two specific numbers. For that, you find the average of the two numbers. In a similar way, we obtain the halfway number (or point) between two coordinates using the midpoint formula in coordinate geometry
Let the midpoint of (x₁ ,x₂ ) and (y₁ , y₂) is (x ,y)
x,y = ( x₁ + x₂)/2 , (y₁ +y₂)/2
Since radius is half of the diameter, we need to find the findthe midpoint of the diameter
Using midpoint formula,
y = (y₁ + y₂)/2
= (0 + (-1))/2
= -0.5
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-5(7x-9)-6=144 what is the answer.
Answer: x= -3
Step-by-step explanation:
Answer:
x=-3
Step-by-step explanation:
First you must start by multiplying the parentheses by -5. Once you do that, your equation comes out to -35x+45-6=144. Then you must combine like terms which comes out to -35x+39=144. After that you must get x by itself, so to do that subtract 39 from 144 which comes out to 105. Then you must do the opposite of multiplication and divide 105 by -35 which comes out to x=-3. Hope this helps
Help me please, I don’t understand
The length of the side in Simple radical form with rational denominator=[tex]\frac{10\sqrt{3} }{3}[/tex]
Equilateral triangle:
An equilateral triangle is a triangle with all three sides of equal length, corresponding to what could also be known as a "regular" triangle. An equilateral triangle is therefore a special case of an isosceles triangle having not just two, but all three sides equal. An equilateral triangle also has three equal 60 degrees angles.
Given:
the perpendicular of the triangle = 5
Let the side of the equilateral triangle = a
Solution :
Now all the side of the triangle is is equal, so that a=x
The base of an equilateral triangle is divided into 2 equal parts, due to the perpendicular.
Now by Pythagoras equation :
[tex]p^{2} +b^{2} =h^{2}[/tex]
[tex]5^{2} +(\frac{x}{2} )^{2} =x^{2}[/tex]
[tex]25=x^{2} -\frac{x^{2} }{4}[/tex]
[tex]25 (4)=4x^{2} -x^{2} \\100=3x^{2}[/tex]
[tex]\frac{100}{3}=x^{2} \\\\\sqrt \frac{100}{3} } =x[/tex]
[tex]\frac{10}{\sqrt{3} } =x[/tex]
Simple radical form with rational denominator :
Radical form: An expression that uses a root, such as a square root, or cube root is known as a radical notation, Therefore, [tex]3^{\frac{3}{2} }[/tex] in radical form is = √27.
Convert [tex]\frac{10}{\sqrt{3} }[/tex] into radical form with rational denominator:
[tex]\frac{10}{\sqrt{3} } =\frac{10}{\sqrt{3} } .\frac{\sqrt{3} }{\sqrt{3} } \\[/tex]
[tex]\frac{10\sqrt{3} }{3}[/tex]
The length of the side in Simple radical form with rational denominator=[tex]\frac{10\sqrt{3} }{3}[/tex]
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Find an equation of the sphere that passes through point (1,8,1) and has center (3,5,-1)
The sphere's equation that passes through the given point is:
(x - 3)² + (y - 8)² + (z - 1)² = 30What is the standard equation of a sphere?A sphere's standard equation is defined by its center and radius. Remember that the radius is the distance between any two points on the sphere. The standard formula is: [tex]\left(x-x_c\right)^2+\left(y-y_c\right)^2+\left(z-z_c\right)^2=r^2[/tex]To find the equation of the sphere:
The radius of a sphere is equally distant between any two points on the sphere. The sphere's center is: (3, 8, 1)So,
P = (4, 3,−1)C = (3, 8, 1)r = d(C, p)Now,
[tex]\begin{aligned}&=\sqrt{\left(x_c-x_p\right)^2+\left(y_c-y_p\right)^2+\left(z_c-z_p\right)^2} \\&=\sqrt{(3-4)^2+(8-3)^2+(1-(-1))^2} \\&=\sqrt{(-1)^2+(5)^2+(2)^2} \\&=\sqrt{1+25+4} \\\therefore r &=\sqrt{30}\end{aligned}[/tex]
Supplement the center point and radius into the standard sphere equation:
[tex]\left(x-x_c\right)^2+\left(y-y_c\right)^2+\left(z-z_c\right)^2=r^2\\(x-3)^2+(y-8)^2+(z-1)^2=(\sqrt{30})^2\\(x-3)^2+(y-8)^2+(z-1)^2=30[/tex]
Therefore, the sphere's equation that passes through the given point is:
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The correct question is given below;
Find an equation of the sphere that passes through the point (4, 3,−1) and has to center (3, 8, 1).
2/3y - 2/5 = 15 it’s algebra
Answer:
y=231/10
Step-by-step explanation:
First you want to add 2/5 to 15.
Now you will have 2/3y=77/5
Now you want to mulitply both sides 3/2
3/2*2y/3=3/2*77/5
Then you will get y=231/10.
if f(x) = mx +c, f(4) = 11 and f(5) = 13, find the value of f(2).
Answer:
7
Step-by-step explanation:
[tex]f(4)=4m+c=11 \\ \\ f(5)=5m+c=13[/tex]
Subtracting the equations yields that m=2, and thus c=3.
[tex]\implies f(2)=2(2)+3=7[/tex]
Order 3/8, 3/7, and 3/9 from least to greatest withour writing equivalent fractions with a common denomanator. explain your strategy.
Answer:
3/9 3/8 3/7
Step-by-step explanation:
The higher the denominator, the higher number of times a number will be divided which means, the number will become smaller.
A car and an emergency are heading toward each other. The car is traveling at a speed of 30
mph or 44 feet per second. The emergency vehicle is traveling at a speed of 50 mph or about
74 feet per second. If the vehicles are 1000 feet apart and the conditions are ideal, in how
many seconds will the drive of the car first hear the siren?
If the speed of car is 44 feet per second and the speed of emergency vehicle is 74 feet per second,then they the driver of the car will hear the siren after 8.48 seconds after cover the distance of 1000 feet.
Given that the speed of car be 30 mph or 44 feet per second, the speed of emergency vehicle be 50 mph or 74 feet per second and the distance between both is 1000 feet apart.
We are required to find the seconds after which the driver of the car first hear the siren.
Speed is basically the distance that a vehicle covers in a particular period of time.
Speed=Distance/Time
Time=Distance/Speed
Total speed in feet per second=44+74=118 feet per second
Time=1000/118
=8.48 seconds
Hence if the speed of car is 44 feet per second and the speed of emergency vehicle is 74 feet per second,then they the driver of the car will hear the siren after 8.48 seconds.
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