Answer:
x = 11
Step-by-step explanation:
Let's have one of the numbers be represented by the variable, x, and the other number be represented with the variable, y
Since the sum of the two numbers is 55, we can write the following equation:
x + y = 55
Then since one number is 4 times as large as the other, we can write: y = 4x
We can now substitute this expression for y into the second equation and solve by
combining like terms and using inverse operations to solve for x:
x + y = 55
x + 4x = 55
5x = 55
5x/5 = 55/5
x = 11
One of the numbers is 11.
Since the sum of the numbers is 55, the other number will be 44.
Answer:
11 and 44
Step-by-step explanation:
→ Write 2 equations
x + y = 55
y = 4x
→ Substitute bottom equation into top
x + 4x = 55
→ Solve
x = 11
→ Find y
4 × 11 = 44
Which statement is the correct interpretation of the inequality –5 > –6? (1 point)
a
On a number line, −5 is located to the left of 0 and –6 is located to the right of 0.
b
On a number line, −5 is located to the right of 0 and –6 is located to the left of 0.
c
On a number line, −5 is located to the left of –6.
d
On a number line, −5 is located to the right of –6.
The correct statement of the inequality representation is d On a number line, −5 is located to the right of –6.
What is a number line?A number line is a horizontal representation of parts with equal intervals
The numbers in a number line is arranged to be increasing from left to right , hence drawing a number line will have the smaller values to the left of the bigger values
-5 > -6
this is read as -5 is greater than -6 therefore
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What effect do you think the sample size have on the mean of the sampling distribution of the mean?.
The effect that sample size on the mean of the sampling distribution has is that it effects the variations .
In the question ,
If the sample size is increased ,
which means if the number of sample is increased then the errors in the sampling distribution becomes very less .
and if the sample size is decreased then it leads to the increase in the error of the distribution .
The formula for the relationship between variation and sample size is given by ,
σx = σ / sqrt (n)
we can see that the variation and sample size are inversely proportional .
Which means that increase in the sample size results in a reduction of variation.
Therefore , The effect that sample size on the mean of the sampling distribution has is that it effects the variations .
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Offering points for who can help me with this
Answer:
204 feet^2
Step-by-step explanation:
rectangle area = 18 * 10 = 180 feet^2
triangle width = 18 - 10 = 8 feet
triangle area = 6 * 8 /2 = 24 feet^2
total area = 180 + 24 = 204 feet^2
Simplify:
[tex]\frac{4-i\sqrt{2}}{4+i\sqrt{2}}[/tex]
(7-4i)√2/7 is the simplified form of (4-i√2)/(4+i√2)
What is complex number?a complex number is an element of a number system that extends the real numbers with a specific element denoted i, called the imaginary unit
The given expression is
(4-i√2)/(4+i√2)
Now we have to rationalize the above expression
((4-i√2)/(4+i√2))×((4-i√2)/(4-i√2))
(4-i√2)(4-i√2)/(4+i√2)(4-i√2)
16-4i√2-4i√2-2/16-2
16-8i√2-2/14
14-8i√2/14
2(7-4i√2)/2(7)
(7-4i)√2/7
Hence (7-4i)√2/7 is the simplified form of (4-i√2)/(4+i√2)
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Question
Forty-five people are going on a road trip. Each car seats 5 people.
How many cars are needed for 45 people?
Find the fourth degree polynomial that contains the origin and to which the line x+2y=14 is tangent at both x=4 and x=-2.
Answer: 60,30,180, and 37
Step-by-step explanation:
an experiment may have: a. only one outcome b. only two outcomes c. two or more outcomes d. several events
Using the concepts of probability, we got that an experiment may have d) several events
Event is called one or more outcomes of an experiment. Example of this is -rolling a dice, we get a possible outcomes as {1,2,3,4,5,6}.
In an experiment there can be one outcome, two outcomes, more than two outcomes or several outcomes.
An event is the collection of one or more of the outcomes of an experiment. An event that actually includes one and only one of the (final) outcomes for an experiment is called the simple event and is denoted by Ei.
Hence, an experiment may have d)several events
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What did I do wrong?
Step-by-step explanation:
I gone through your work and I don't see anything wrong.
Try reaching out to your teacher.
Answer:
You answered every question correctly. All ten of them. The program you are using has some issues. lol
Step-by-step explanation:
Why is the following no solution?
|x| = -5
The tens digit of a two-digit number is five more than the units digit. The number itself is equal to the sum of its digits multiplied by 8. Find the number
Answer:
72
Step-by-step explanation:
- reason why it's 72
tens ones
(2+5)=7 2
A/Q:
7+2=99*8=72Find the inverse of the function y=2x+8
The inverse function of the given is [tex]y^-1[/tex]= [tex]\frac{x}{2}[/tex]-4 .
What is inverse function?
The domain of the original function becomes the range of the inverse function, and the range of the given function becomes the domain of the inverse function. The inverse function is denoted by the notation f-1 in relation to the original function f. Swapping (x, y) with (y, x) with reference to the line y = x yields the graph of the inverse function. Only when f is both a one-one and an onto function does it have an inverse, indicated by the symbol f-1. Keep in mind that f-1 is NOT f's inverse. The domain value of x is given by combining the function f and the reciprocal function f-1.
Here the given function is,
=> y = 2x+8
Now interchange x and y then
=> x=2y+8
Now simplify the expression with respect to y then,
=> x-8=2y
=> y = [tex]\frac{x}{2}[/tex]-4
=>[tex]y^-1[/tex]= [tex]\frac{x}{2}[/tex]-4
Hence inverse function is [tex]y^-1[/tex]= [tex]\frac{x}{2}[/tex]-4 .
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A basketball has a volume of about 452.1 cubic inches. Fine the radius of the basketball in inches
The radius of the basket ball having volume 452.1 cubic inches is 4.76 inches.
What is the volume?
Volume is the 3 dimentional occupied space by any object. It is measured in SI units [tex]\textnormal{m}^3[/tex] and other derived units like [tex]\textnormal{in}^3[/tex].
All properties of a spherical shape is defined by its radius. The shape of a basketball is spherical hence, the formula of the volume is given by the followin expression:
[tex]V=\frac{4}{3}\pi r^3[/tex]
Here, V is the volume of the basket ball and r is the radius of the basket ball.
Rearrange the above equation for [tex]r[/tex].
[tex]3V=4\pi r^3\\\frac{3V}{4\pi}= r^3[/tex]
[tex]r=[\frac{3V}{4\pi}]^{1/3}[/tex]
Substitute values.
[tex]V=[\frac{3(452.1 \ \textnormal{cubic inches})}{4\pi}]^{1/3}\\=4.76 \ \text{inches}[/tex]
Hence, the radius of the basket ball is 4.76 inches.
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Two angles of a quadrilateral measure 260° and 15º. The other two angles are in a ratio of 7:10. What are the measures of those two angles?
The measures of those two angles are 35° and 50°.
How to calculate the angle?It's important to note that the sum of angles on a quadrilateral is 360°. In this case, two angles of a quadrilateral measure 260° and 15º.
The remaining angles will be:
= 360° - (260° + 15°)
= 85°
Since the other two angles are in a ratio of 7:10, the measure will be:
= 7 / (7 + 10) × 85°
= 7/15 × 85°
= 35°
Also, 10/17 × 85°
= 50°
The angles are 35° and 50°.
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Look at this graph:
10
9
8
7
5
4
3
2
1
0 1 2 3 4 5 6 7 8
What is the slope?
The slope of the line is -1
First we have to choose two points
The coordinates of the first point = (9, 1)
The coordinates of the second point = (8, 2)
The slope of the line is the change in y coordinates with respect to the change in x coordinates of the line.
The slope of the line m= [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Where m is the slope of the line
[tex](x_1,y_1)[/tex] is the coordinates of the first point
[tex](x_2,y_2)[/tex] is the coordinates of the second point
Substitute the values in the equation
The slope of the line = (2-1) / (8-9)
= 1 / -1
= -1
Hence, the slope of the line is -1
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[tex]\sf 10+2x=4[/tex]
Answer:
10+2x=4first, by using inverse operations subtract 10 on both sides.
10-10+2x=4-104-10 is -6. whys the 6 negative? because the number takes the sign of the bigge number.
2x=-6Divide by 2 to isolate x
2x÷2=-6÷2In multiplication and division one negative sign stays and 2 negative signs cancel eachother but here theres only one negative sign so;
~~~~~~~~~~~~~~~~
X=-3[tex]\sf x+ (-9) =-18[/tex]
what's the value x ?
Answer:
x = -9
Step-by-step explanation:
Below:-
Answer:
x = -9
Step-by-step explanation:
Given equation,
→ x + (-9) = -18
Now the value of x will be,
→ x + (-9) = -18
→ x - 9 = -18
→ x = -18 + 9
→ [ x = -9 ]
Hence, the value of x is -9.
Could I get help with this?
Answer: convergencnt
Step-by-step explanation:
IF LINE TV IS PARALLEL TO LINE ZX AND LINE ZX IS PARALLEL TO LINE QS, THEN IS LINE TV PARALLEL TO LINE QS BY TRANSITIVE PROPERTY?
Yes line TV is also parallel to line QS according to transverse property
What is transverse property?According to the transitive property, all the quantities are equal to each other if two quantities are equal to the third quantity.
When the term equal is replace by parallel it suits the case at hand hence transitive property of parallel lines is introduced
When attempting to demonstrate that several parallel lines have congruent properties, the transitive property of parallel lines can be used to create a link between numerous equal quantities.
Therefore, it can be interpreted as: if line TV || line ZX and line ZX || line QS then line TV || line ZX
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what is f(-3) for the function f(x) = 2x^2 + 5? need answer ASAP please!
Answer:
F(-3)= 23
Step-by-step explanation:
F(-3)= 2(-3)^2 + 5
The area of a circle is 25pieft2. What is the circumference, in feet? Express your answer in terms of pie
The circumference of the circle in feet is 10π feet.
According to the question,
We have the following information:
Area of the circle = 25π square feet
We know that the following formula is used to find the area of circle:
π[tex]r^{2}[/tex] where r is the radius of the circle
π[tex]r^{2}[/tex] = 25π
Dividing by π on both the sides:
[tex]r^{2}[/tex] = 25
r = 5 feet ...(1)
We know that the following formula is used to find the circumference of circle:
2πr
Putting the value of r from equation 1:
2π*5
10π feet
Hence, the circumference of the circle in feet is 10π feet.
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4x+y=104, x, plus, y, equals, 10
Complete the missing value in the solution to the equation.
Answer:36,37,38,39 one of the those or between
Step-by-step explanation:
Four friend go out to eat and their meal cot $86. 50. The ale tax i 6. 75% and they hould tip the waiter 20%. How much do they have to pay?Round to the nearet cent
Four friends go out to eat and their meal cost $86. 50. The sales tax 6. 75% and they should tip the waiter 20%.each person must pay $27.7 for their meal
Four friends go out to eat and $86.50 for their meals.
The sales tax is 6.75%, and the waiter is tipped 20%.
M = 86.5 * 10675 / 10000 = 92.34
92.34$, and the total amount of money that four friends will give, including waiter tip, is
T=92.35 * 120 / 100 = 110.80
and each person must give
110.8/4= $27.7
each person must pay $27.7
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it would be great if someone could help me with these please?
Answer:
Find the angle measurement like a 90 degree angle or something for both of them and then find the solution following it. If you need further help post the question with the name where these questions are posted!
PLEASE GIVE BRAINLIEST THANK YOU!!!
Suppose we are given the following.
Line 1 passes through (-3, 8) and (0,4).
Line 2 passes through (4, 4) and (-4,-2).
Line 3 passes through (4, 1) and (8,4).
(a) Find the slope of each line.
Slope of Line 1-
Slope of Line 2-
Slope of Line 3-0
(b) For each pair of lines, determine whether they are parallel, perpendicular, or neither.
Line 1 and Line 2: OParallel
Line 1 and Line 3:
OParallel
Line 2 and Line 3:
OParallel
Operpendicular ONeither
Operpendicular
ONeither
OPerpendicular
Neither
Slope of line 1 is -4/3, slope of line 2 is 3/4, slope of line 3 is 3/4, and Line 1 and Line 2 are perpendicular, Line 1 and Line 3 are also perpendicular, Line 2 and Line 3 are parallel.
What is slope of a line?
The increase divided by the run, or the ratio of the rise to the run, is known as the line's slope. In the coordinate plane, it describes the slope of the line. Finding the slope between two separate points and calculating the slope of a line are related tasks. In general, we require the values of any two separate coordinates on a line in order to determine its slope.
Slope of a line can be calculated using the formula:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Here, m = slope and (x1, y1), (x2, y2) are two points on the line,
Calculating the slope of line 1 whose points are (-3, 8), (0, 4)
[tex]m = \frac{4 - 8}{0 - (-3)}[/tex]
m = -4/3
Calculating the slope of line 2 whose points are (4, 4), (-4, -2)
[tex]m = \frac{-2 - 4}{ -4 - 4}[/tex]
m = 3/4
Calculating the slope of line 2 whose points are (4, 1), (8, 4)
[tex]m = \frac{4 - 1}{ 8 - 4}[/tex]
m = 3/4
Now we know that if lines are parallel that their slope is equal and when lines are perpendicular the product of their slope is -1,
Therefore, Line 1 and Line 2 are perpendicular, Line 1 and Line 3 are also perpendicular, Line 2 and Line 3 are parallel.
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1. Fill in the missing Terms for the sequence
2. Find the number the sequence is going by
3. Write the explicit formula
The answer r = 7, and the missing terms are -2, -14, -98, -686, -4802. in the Geometric progression.
What is Geometric progression?
A geometric progression, sometimes termed a geometric sequence in mathematics, is a series of non-zero numbers where each term following the first is obtained by multiplying the preceding one by a constant, non-zero value known as the common ratio. A geometric progression with the common ratio 3 is, for instance, the sequence 2, 6, 18, 54,... A geometric series having a common ratio of 1/2 is also 10, 5, 2.5, 1.25, etc.
By calculating the product of the values of a set of numbers, the Geometric Mean (GM) is the average value or mean that denotes the central tendency of the data. The average of the data set's numbers is defined by the mean. There are several distinct forms of means, including arithmetic mean (AM), geometric mean (GM), and harmonic mean (HM).
Here 1st term a = -2
4th term given is ar³= -686
r³= -686/-2
r=∛343
a) r=7
2nd term will be -14
3rd term will be -98
5th term will be -4802
b) -2, -14, -98, -686, -4802.
Hence, r = 7, and the missing terms are -2, -14, -98, -686, -4802.
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explain why the exterior angle of a regular polygon could be 20* 30* or 40* but not 50*
Answer:a polygon cannot have 7.2 sides
Step-by-step explanation:
each exterior angle of a regular polygon with n sides is equal and these angles add up to 360∘ . a polygon cannot have 7.2 sides. since , the exterior angle of a regular polygon cannot be 50∘
Which decimal is equivalent to \
{31}{9}
9
31
start fraction, 31, divided by, 9, end fraction?
a car dealer buys a car for $500, gives it a clean new, is sold for $100. what is the percentage of loss
Answer:
Step-by-step explanation:
1. Find decrease.
If the car dealer bought the car for 100$ and only received 100$ for selling the car, he had 400$ in disadvantage!
2. Caculate Percent Loss:
400/ 500*100=
400/5=
80
There was a 80% decrease from the starting value!
Answer: 80% decrease!
3/4x - 3 = 5/6 Rewrite the equation below so that it does not have fractions.
Do not use decimals in your answer.
Answer:
18x - 72 = 20
Step-by-step explanation:
[tex] \rm \implies \dfrac{3}{4} x - 3 = \dfrac{5}{6} \\ \\ \rm \implies \dfrac{3}{4} x - 3 \times \frac{4}{4} = \dfrac{5}{6} \\ \\ \rm \implies\dfrac{3}{4} x - \frac{12}{4} = \dfrac{5}{6} \\ \\ \rm \implies \frac{3x - 12}{4} = \frac{5}{6} \\ \\ \rm \implies \frac{3x - 12}{ \cancel{4}} \times \cancel{4} = \frac{5}{6} \times 4 \\ \\ \rm \implies 3x - 12 = \frac{20}{6} \\ \\ \rm \implies (3x - 12) \times 6 = \frac{20}{ \cancel{6}} \times \cancel{6} \\ \\ \rm \implies 18x - 72 = 20 [/tex]
5[tex]\sqrt{8}[/tex]simplified
Answer:
[tex]10\sqrt{2}[/tex]
Step-by-step explanation:
To simplify a square root you have to find any perfect square numbers.
(ex. 4, 9, 16, 25 ...)
[tex]\sqrt{8} = \sqrt{2*4} = \sqrt{2} * \sqrt{4}[/tex]
Simplify:
[tex]\sqrt{4} = 2[/tex]
[tex]2 \times \sqrt{2}\\ = 2\sqrt{2}[/tex]
Don't forget to multiply the 5, so:
[tex]5 \times 2\sqrt{2}\\ = 10\sqrt{2}[/tex]