Answer:
5
Step-by-step explanation:
b = [tex]\frac{(a+c)}{2}[/tex]
10+6+4+4+6+4+1 = 35.
35/7 = 5
b = 5
Please help! Use the number line to compare the numb Drag and drop the numbers to place them in increasing order. -1.7, 1.9, -0.8, 0.9
What is the step by step equation for the problem
6(5x - 7) = -3(4x + 7) + 6
Answer:
[tex]x = \frac{9}{14} [/tex]
Step-by-step explanation:
6 (5x - 7) = -3 (4x + 7) + 6
30x - 42 = -12x - 21 + 6
30x - 42 = -12x - 15
30x + 12x = -15 + 42
42x = 27 ÷ 42
x = 27/42
simplify with factor 3
[tex]x = \frac{9}{14} [/tex]
1. In the first week, he spent $16 on lunches. How much was in his account then?
Answer:
hen he deposited some more money and his account balance was $28.
Step-by-step explanation:
Answer:7
Step-by-step explanation:
Choose a system of equations with the same solution as the following system:
4x − y = −11
2x + 3y = 5
A. 12x − 3y = −33
10x − 6y = −38
B. −4x − 9y = −21
−2x − 7y = −27
C. 4x + 3y = 5
10x + 5y = −1
D. 2x − 4y = −16
4x − 4y = 44
please help 100points!!!!
And i will make brainlest
only if the answer is right and there is a good explanation....
Answer:
Hope it can help you and Mark me as a brainlist....
Which equation represents a function that is nonlinear?
y=5x y=37 y=x2-25 y=2/3x+67
Answer:
I dont get itt
Step-by-step explanation:
Of the following fractions: 3/7, 5/8, 7/13, and 11/19, which is the largest?
Answer:
Step-by-step explanation:The largest fraction is 5/8
HIIIIIII ILL MARK BRAINLIEST
is this correct?
Answer:
No, it isn't.
Step-by-step explanation:
The point on y = 5 should be on y = 7, and the point on x = 5 should be on x = 7. The attachment shown is what the graph should look like.
Someone please help me
Gina ate lunch at a cafe. she ordered a ham sandwich for $8.75 and soup for $4.35. The tax was 7.5%. What was the amount of tax for Gina’s meal?
Answer:
$0.98
Step-by-step explanation:
First, add $8.75 & $4.35.
8.75 + 4.35 = $13.10 in total
Then find the tax by multiply 7.5% (3/40) times 13.10.
3/40 * 131/10
393/400 = 0.9825, which rounds down to $0.98 in tax
Find an acute angle that satisfies csc Theta=3.1297
The acute angle that satisfies the equation is 18.6 degrees
How to find an acute angle that satisfies the equation?The equation is given as
csc Theta = 3.1297
Rewrite properly as
csc(∅) = 3.1297
In trigonometry
csc(∅) = 1/sin(∅)
So, we have
1/sin(∅) = 3.1297
This means that
sin(∅) = 1/3.1297
Evaluate the expression
sin(∅) = 0.3195
Take the arc sin of both sides
∅ = sin-1(0.3195)
Evaluate the arcsin expression
So, we have
∅ = 18.6
Hence, the acute angle that satisfies the equation is 18.6 degrees
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Diet cola was on sale last week; it cost $10 for every 4 liters of diet cola. How many liters do you get per dollar?
Answer:
you get 0.4 litres for every dollar
Which digit is in the thousandth place? 134.927
Answer:
.007 is in the thousandths place.
Step-by-step explanation:
In decimals it goes tenths, houndredths, thousandths, and so on.
An airplane is flying at a constant speed of 500 mph at a bearing of 45° north of west. A 40 mph wind is blowing due south. What are the plane's actual speed and direction? Draw a diagram and show your work to justify your answer. Round the speed to the nearest tenth and the direction to the nearest degree. (5 points)
Answer:I’m pretty sure I got this one right too
Step-by-step explanation:
The actual speed of the airplane is 472.56 mph in the direction of 41.57° north of west.
What are the x and y-components of a vector?"In a two-dimensional coordinate system, any vector can be broken into x -component and y -component according to axis."
We can assume, east as the positive x- axis and north as the positive y-axis, respectively.
Similarly, west as the negative x- and south as the negative y-axis, respectively.
Therefore, the x- and y-components of the speeds.
Now, for the airplane:
x-component: - 500 × cos(45°) mph = - 353.55 mph
y-component: 500 × sin(45°) mph = 353.55 mph
For the wind:
y-component: -40 mph
Therefore, sum of the x-components = -353.55 mph
Similarly, sum of the y-components = (353.55 - 40) mph = 313.55 mph
Now, the actual speed =
[tex]\sqrt{(-353.55)^{2} + (313.55)^{2}}[/tex] mph
= [tex]\sqrt{223313.6}[/tex] mph
= 472.56 mph
Now, the direction of the airplane is:
tan(Ф) = [tex]\frac{313.55}{- 353.55}[/tex]
⇒ Ф = tan⁻¹( [tex]\frac{313.55}{- 353.55}[/tex])
⇒ Ф = - 41.57°
The actual speed of the airplane is 472.56 mph in the direction of 41.57° north of west.
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Use the distributive property to write an expression that is equivalent to:
3(x + 5)
Answer: 3x + 15
Step-by-step explanation:
In order to use the distributive property, you simply multiply the number on the outside by both the number inside the parenthesis
So, in this case, we would multiply 3 by X and 3 by 5
3 times x = 3x
3 times 5 =15
Your new equation is then made by adding these two together
3x+15
Answer 3x + 15
Need help finding the measures
The probability that a first year student entering a certain private college needs neither a developmental math course nor a developmental English is 61% while 21% require a developmental math course and 37% require a developmental English course.
Find the probability that a first year student requires both a development math course and a developmental English course.
Answer:
7.77%
Step-by-step explanation:
When dealing with calculating a sequence of probabilities for an specific event such as this one you simply need to multiply the seperate probabilities of each part of the event happening together. Which in this case would be 21% and 37%. We first need to convert these percentages into decimal form by dividing each of them by 100. Once we have the decimal form we multiply them together to find the answer.
21% / 100 = 0.21
37% / 100 = 0.37
0.21 * 0.37 = 0.0777 ... multiply by 100 to get percent form
0.0777 * 100 = 7.77%
Finally, we can see that the probability that a first-year student requires both a developmental math course and a developmental English course is 7.77%
The probability that a first year student requires both a development math course and a developmental English course is 7.77%
Calculation of the probability:Since The probability that a first year student entering a certain private college needs neither a developmental math course nor a developmental English is 61% while 21% require a developmental math course and 37% require a developmental English course.
So, the probability is
[tex]= 0.21 \times 0.37[/tex]
= 7.77%
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I = prt Time = 3 years Interest Rate = 5% Principal = $7,430 Use the information to answer the question. How much interest is paid? $111.45 $1,114.50 $11,145 $111,450
Answer:I = prt
p = 7430
r = 5%....turn to decimal = 0.05
t = 3
I = (7430)(0.05)(3)
I = 1114.50 <===
Step-by-step explanation:
Answer:
I = prt
p = 7430
r = 5%....turn to decimal = 0.05
t = 3
I = (7430)(0.05)(3)
I = 1114.50 <===
Step-by-step explanation:
just read the picture and thats the question
Answer:
a) The negative sign indicates that progression is decreasing in time and decreases by 18 percent each month.
b) Antonio is expected to make a profit of 37445.17 in 7 months from now.
Step-by-step explanation:
a) The equation described on statement represents a geometrical progression, which is defined as:
[tex]y = C_{o}\cdot (1+ r)^{x}[/tex] (1)
Where:
[tex]C_{o}[/tex] - Initial amount, measured in monetary units.
[tex]r[/tex] - Rate, dimensionless. (The progression is increasing when [tex]r > 0[/tex], and decreasing when [tex]-1 < r < 0[/tex])
[tex]x[/tex] - Time, measured in months.
[tex]y[/tex] - Profit, measured in monetary units.
Given that [tex]y = 150,210\cdot (0.82)^{x}[/tex], we calculated the rate below:
[tex]1+r = 0.82[/tex]
[tex]r = 0.82-1[/tex]
[tex]r = -0.18[/tex]
The negative sign indicates that progression is decreasing in time and decreases by 18 percent each month.
b) If we know that [tex]x = 7[/tex], then the expected amount for Antonio in 7 months from now is:
[tex]y = 150,210\cdot (0.82)^{7}[/tex]
[tex]y = 37445.17[/tex]
Antonio is expected to make a profit of 37445.17 in 7 months from now.
PLEASE HELP ASAP! BRISNLIEST! Write the equation of each graph.
Answer:
-x^2-2x+3
1/2x^2-2x-1
Step-by-step explanation:
find the zeros of the function: to the nearest hundredth
Answer:
The zeros of the function:
[tex]x=5.53 ,[/tex] [tex]x=3.22[/tex]
Step-by-step explanation:
Given the function
[tex]f\left(x\right)=2x^2-17.5x+35.6[/tex]
To find zeros, put f(x)=0
[tex]0=2x^2-17.5x+35.6[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:}10[/tex]
[tex]0\cdot \:10=2x^2\cdot \:10-17.5x\cdot \:10+35.6\cdot \:10[/tex]
[tex]0=20x^2-175x+356[/tex]
switch sides
[tex]20x^2-175x+356=0[/tex]
subtract 356 from both sides
[tex]20x^2-175x+356-356=0-356[/tex]
[tex]20x^2-175x=-356[/tex]
divide both sides by 20
[tex]\frac{20x^2-175x}{20}=\frac{-356}{20}[/tex]
[tex]x^2-\frac{35x}{4}=-\frac{89}{5}[/tex]
[tex]\mathrm{Add\:}a^2=\left(-\frac{35}{8}\right)^2\mathrm{\:to\:both\:sides}[/tex]
[tex]x^2-\frac{35x}{4}+\left(-\frac{35}{8}\right)^2=-\frac{89}{5}+\left(-\frac{35}{8}\right)^2[/tex]
applying perfect square
[tex]\left(x-\frac{35}{8}\right)^2=\frac{429}{320}[/tex]
[tex]\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}[/tex]
solving
[tex]x-\frac{35}{8}=\sqrt{\frac{429}{320}}[/tex]
[tex]x=\frac{\sqrt{2145}}{40}+\frac{35}{8}[/tex]
[tex]x=5.53[/tex]
also solving
[tex]x-\frac{35}{8}=-\sqrt{\frac{429}{320}}[/tex]
[tex]x=-\frac{\sqrt{2145}}{40}+\frac{35}{8}[/tex]
[tex]x=3.22[/tex]
[tex]\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}[/tex]
[tex]x=5.53 ,[/tex] [tex]x=3.22[/tex]
Therefore, the zeros of the function:
[tex]x=5.53 ,[/tex] [tex]x=3.22[/tex]
which statement is true about the points p and p
Answer:
They are equal
Step-by-step explanation:
A line segment has endpoints E(–2, 8) and F(10, –6). What is the midpoint? ( , )
The midpoint of the line segment with the endpoints is (4, 1)
How to determine the midpoint of the line segment with the endpoints?The endpoints are given as:
E= (-2,8) and F = (10, -6)
The midpoint of the line segment with the endpoints is calculated as
Midpoint = 0.5 * (x1 + x2, y1 + y2)
So, we have:
Midpoint = 0.5 * (-2 + 10, 8- 6)
Evaluate the sum
So, we have:
Midpoint = 0.5 * (8, 2)
Evaluate the products
So, we have:
Midpoint = (4, 1)
Hence, the midpoint of the line segment with the endpoints is (4, 1)
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-3/4x + 5 = -4 What is the value of x?
Answer:
12
Step-by-step explanation:
2 1/3 divided 1 1/5 work out the answer giving it in simplest form
Answer:
4 2/3
Step-by-step explanation:
When dividing fractions you multiply the recipricol of the second term by the first.
1/3 x 5/1 = 5/3.
2 x 1 = 3
5/3 = 1 2/3
3 + 1 2/3 = 4 2/3.
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
The simplest form of the resultant fraction when 2 1/3 divided 1 1/5
is 1 17/18.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Given are two fractions 2 1/3 divided by 1 1/5.
We know,
2 1/3.
= (2×3 + 1)/3.
= 7/3 and similarly 1 1/5 is 6/6.
So, 7/3 divided by 6/5.
= (7/3)/(6/5).
= (7/3)×(5/6).
= 35/18.
= 1 17/18.
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Kim drew a map of the Mississippi River. The scale was 5 centimeters represents 120 miles. The actual length of the Mississippi River is 2,320 miles. Approximately what is the length in centimeters of the Mississippi River on the map?
Considering the definition of scale, the length of the Mississippi River on the map is 96.667 cm.
Definition of scaleThe scale of a cartographic representation, or map scale, is the relationship of similarity between the real dimensions of the geographical space represented and those of its image on the map.
Scale is the relationship between a real object (for example, the surface of the Earth or a portion of it) and the representation that is made of it.
The scale is represented as a fraction as follows: measured on the map/measured in reality
Length of the Mississippi River on the mapIn this case, you know that:
The scale was 5 centimeters represents 120 miles. The actual length of the Mississippi River is 2,320 miles.Considering the definition of scale, you can calculate the length of the Mississippi River on the map as follow:
5 cm/ 120 miles= measured on the map/2320 miles
(5 cm/ 120 miles)× 2320 miles= measured on the map
96.667 cm= measured on the map
Finally, the length of the Mississippi River on the map is 96.667 cm.
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Urgent! Please help me! Math question. Please.
Answer:
A and C
Step-by-step explanation:
First because "AAS" is when we know two angles and one side (which is not between the angles). To solve an AAS triangle. use the three angles add to 180° to find the other angle. then The Law of Sines to find each of the other two sides.
And then C because all angles have to equal to the other angle pattern
Use the graph of the function to find its domain and range. Write the domain and range in interval notation.
Answer:
domain: [-4, ∞)
range: [-6, ∞)
Step-by-step explanation:
look at the graph. for domain, you want the x-values included in the interval. the endpoint at -4 means that the domain begins at -4. since the graph extends to positive infinity, then include that in domain with an parentheses not bracket since there's no endpoint.
for range, do the same thing but for y-values.
The domain and the range of a function are the possible x and y values it can take
The domain of the function is: [tex][-4, \infty)\\[/tex].The range of the function is: [tex][-6,\infty)[/tex]The domain
From the graph, the x-value starts at x = -4, and it continues to the right.
The dot at x = -4, means that -4 is inclusive of the x values.
The arrow at the other end means that, the value increases to infinity.
So, the domain of the function is: [tex][-4, \infty)\\[/tex]
The range
From the graph, the y-value starts at y = -6, and the curve open upwards
The arrow at the other end means that, the value increases to infinity.
So, the range of the function is: [tex][-6,\infty)[/tex]
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HELP! WILL MARK BRAINLIEST!
Answer:
thank for the free point
NEED HELP ASAP
Find the constant of proportionality in the data set below.
Time (s) Distance (cm)
5 42
10 84
15 126
20 168
Answer:
To the left, the constant is plus 5.
To the right, the constant is plus 42.
Step-by-step explanation:
The variables y and x have a proportional relationship, and y = 7 when x = 2 What is the value of x when y = 212 Enter your answer in the box x = 1
Answer:
proportional relational ship
y= kx
7 = k2
solve for k
7/2 =k
y = 7/2 x
if y = 21
21 =7/2 x
solve for x
multiply by 2/7 on each side
21* 2/7 = 2/7*7/2 x
6 =x