Answer:
2/13
Step-by-step explanation:
Answer: it is the fraction
3/13
evaluate a-b if a =-2.5 and b = \(\frac{2}{5}\)
The expression has a value of -2.9, when evaluated
How to evaluate the expression?The expression is given as
a - b
The values of the variable are given as
a = -2.5
Also, we have the values of the another variable to be given as
b = 2/5
Substitute a = -2.5 and b = 2/5 in the expression a - b
So, we have
a - b = -2.5 - 2/5
Express the fraction as decimal
a - b = -2.5 - 0.4
Evaluate the difference
a - b = -2.9
Hence, the value of the expression is -2.9
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4/5x−3=3/10x+7 solve the
Step-by-step explanation:
bhujhhhhfghgdcvhhhcxrthm NV xffbfh
Answer:
X=20
Step-by-step explanation:
Well you jsut gotta combine liek terms and sovle
I first made everything a common value since there are different denominators…
so
4/5=8/10
8/10x-3=3/10x+7
Now I’d clear both sides of any extra terms and combine them if possible
Theres a -3 and 7 so I jsut added 3 on both sides to cancel out the 3 on the left side
8/10x=3/10x+10
Now I jsut multiply by 10/1 to clear out the fractions to make this equation a lot easier, and by doing that what I’m really doing is clearing the denomniator but you can’t forget to multiply everything by 10 so 10*10=100
8x=3x+100
Clear like terms by subtracting 3x on both sides
5x=100
Isolate the x by dividing 5 on both sides
which would turn out to be x=20.
Alguien me puede ayudar en esta tarea por favor la necesito para mañana
La expresion que podemos utilizar para encontrar el valor de los lados del cuadrado :
R = \(\sqrt{x^{2}+16x+64}\)
Four friends share the profit of a lawn care service equally. The friends charge $45 per lawn and spend $30 of their total earnings on gasoline for the lawnmowers each week. Which inequality can be used to find m, the number of lawns they need to mow next week so that each person earns at least $275? A. 45m - 30/4 _> 275 B. 45m/4 - 30 _>275 C. 45m - 30/4 _< 275 D. 45m/4 - 30 _< 275
Answer:
The answer is actually A) 45m-30/4 ≥ 275
Step-by-step explanation:
It says, "of the total earnings", so after they took off the 30 dollars, they split it between themselves. Hope this helps ;)
The lines shown below are perpendicular. If the green line has a slope of 2,
what is the slope of the red line?
-10
10
16
A. ¾/1
O A.
B.
O C.
O D. - 3/4
None of the given answer options (-10, 10, 16, ¾/1) correspond to the correct slope of -1/2.
To find the slope of the red line given that it is perpendicular to the green line with a slope of 2, we can use the property that perpendicular lines have slopes that are negative reciprocals of each other.
The slope of the green line is 2. To find the slope of the red line, we take the negative reciprocal of 2. The negative reciprocal is obtained by taking the reciprocal (flipping the fraction) and changing the sign.
Reciprocal of 2: 1/2
Negative reciprocal: -1/2
Therefore, the slope of the red line is -1/2.
However, none of the given answer options (-10, 10, 16, ¾/1) correspond to the correct slope of -1/2.
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Select the correct answer. A sound wave enters a new medium where sound travels faster. How does this affect the frequency and wavelength of the sound? A. The frequency increases and the wavelength decreases. B. The frequency decreases and the wavelength increases. C. The frequency stays the same and the wavelength increases. D. The frequency stays the same and the wavelength decreases. E. Neither the frequency nor the wavelength is affected.
Answer:
The correct answer is E. Neither the frequency nor the wavelength is affected. Explanation: The wave frequency does not affect the speed of that wave. An increase in frequency of a wave causes a decrease in wavelength while the wave speed remains the constant. The speed of the waves is significantly higher at higher tensions.
Step-by-step explanation:
A cylindrical steel pipe with a liquid is 21 cm long with radius 0, 4 cm and its hollow part is of radius 0, 1 cm. What is the volume of liquid, in litres, in the pipe? A. 9000 litres B. 9400 litres C. 9900 litres D. 10100 litres
Rounding to the nearest liter, the volume of the liquid in the pipe is approximately 0.01 liters. Therefore, none of the options A, B, C, or D provided is the correct answer.
To calculate the volume of the liquid in the cylindrical steel pipe, we need to find the difference in volume between the solid cylinder (hollow part) and the hollow cylinder.
Given:
Length of the cylindrical steel pipe (hollow part) = 21 cm
Radius of the solid cylinder = 0.4 cm
Radius of the hollow cylinder = 0.1 cm
First, let's calculate the volume of the solid cylinder (hollow part):
V1 = π × \(r1^2\) × h
V1 = π × \((0.4 cm)^2\) × 21 cm
Next, let's calculate the volume of the hollow cylinder:
V2 = π × \(r2^2\) × h
V2 = π × \((0.1 cm)^2\) × 21 cm
Now, we can find the volume of the liquid in the pipe by subtracting V2 from V1:
Volume of liquid = V1 - V2
Let's calculate these values:
V1 = π ×\((0.4 cm)^2\) × 21 cm ≈ 10.572 cm³
V2 = π × \((0.1 cm)^2\) × 21 cm ≈ 0.693 cm³
Volume of liquid = V1 - V2 ≈ 10.572 cm³ - 0.693 cm³ ≈ 9.879 cm³
To convert the volume from cubic centimeters (cm³) to liters (L), we divide by 1000:
Volume of liquid in liters ≈ 9.879 cm³ / 1000 ≈ 0.009879 L
Rounding to the nearest liter, the volume of the liquid in the pipe is approximately 0.01 liters.
Therefore, none of the options A, B, C, or D provided is the correct answer.
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Subtract the fractions. Write each difference in simplest form.
8/9 - 5/6 =
Answer:
1/18
Step-by-step explanation:
Change the denominators to 18 to make like denonminators (make sure to multiply the top)
(16/18 - 15/18)
1/18
Answer:
1/18
Step-by-step explanation: 8x6=48 5x9=45 48-45= 3 9x6=54 3/54= 1/18
Solve 1/3x = -4/5. What is the answer?
Answer:
x = -12/5
decimal: x = -2.4
mixed number: x = -2 2/5
Step-by-step explanation:
simplify both sides of the equation then isolate the variable
help with the Measure of a triangle’s side
Answer:
x = 163.5
x = 1.2
Step-by-step explanation:
Recall: SOH CAH TOA
For the first triangle:
Reference angle = 73°
Opposite = x
Adjacent = 50
Apply TOA:
Tan 73° = Opp/Adj
Tan 73° = x/50
50*Tan 73° = x
163.542631 = x
x = 163.5 (nearest tenth)
For the first triangle:
Reference angle = 4°
Opposite = x
Adjacent = 17
Apply TOA:
Tan 4° = Opp/Adj
Tan 4° = x/17
17*Tan 4° = x
1.1887558 = x
x = 1.2 (nearest tenth)
1. What is the measure
of ZABC?
A
98⁰
B
tc
2.
Answer:
∠ ABC = 49°
Step-by-step explanation:
the chord- tangent angle ABC is half the measure of the intercepted arc AB
∠ ABC = \(\frac{1}{2}\) AB = \(\frac{1}{2}\) × 98° = 49°
Express this number in stand
5.401 x 10-1 = ?
Answer:
0.5401
Step-by-step explanation:
In Standard form
due to the negativity of the power, you move the decimal point to the left...and u move it once
The figure shown is created by joining three rectangles. Enter the area of the figure, in square centimeters. Round to the nearest hundredth.
Answer:
109.75
Step-by-step explanation:
first, separate the floor into 3 different rectangles to calculate the area and then add them together.
area of rec=L*B
rec 1: 8.5*6=51
rec 2: (9.5-5)*(13.5-5-6)=11.25
rec 3:5*9.5=47.5
Then:
51+11.25+47.5=109.75
A pizzeria charges $12 per pizza plus an additional $3 for delivery. Which equation represents the cost of having any number of pizzas delivered?
ANSWER
C = 12p + 3
EXPLANATION
We want to find the equation that represents the cost of having a number of pizzas delivered.
The pizzeria charges $12 per pizza. This means that for p pizzas, the charges will be:
Charges = 12 * p
Charges = 12p
The total cost is the sum of the pizza charges and the delivery charges. That is:
\(C=12p+3\)That is the equation.
SOMEONE HELPPP MEEE !!!!!!
Answer:
you cant see it and we dont know who tom is is there story?
Step-by-step explanation:
If a data set has an even number of observations, the median _____
Point S is on line segment RT.Given ST = 2x, and RT = 4x, and RS = 4x – 4,
determine the numerical length of RS
Answer:
2
Step-by-step explanation:
The required measure of the numerical length of RS is 4.
Given that,
Point S is on line segment RT.
ST = 2x, and RT = 4x, and RS = 4x – 4,
To determine the numerical length of RS.
A line is a curve showing the shortest distance between 2 points.
Standard equation of the line, y = mx + c, where m is slope of the equation and c is y-intercept of the equation.
Here,
Point S is on line segment RT
The total length of RT,
RT = RS + ST
4x = 4x - 4 + 2x
4x = 6x - 4
2x = 4
x = 2
RS = 4 x - 4
RS = 4 * 2 - 4
RS = 4
Thus, the required measure of the numerical length of RS is 4.
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For the function f(x)=x+4−−−−−√
, the average rate of change to the nearest hundredth over the interval 2 ≤ x ≤ 6 is
The average rate of change of the function f(x) = √(x+4) over the interval 2 ≤ x ≤ 6 is approximately 0.29 to the nearest hundredth.
To find the average rate of change of the function f(x) = √(x+4) over the interval 2 ≤ x ≤ 6, we need to calculate the change in the function divided by the change in the input variable over that interval.
The change in the function between x = 2 and x = 6 is:
f(6) - f(2) = √(6+4) - √(2+4) = √10 - √6
The change in the input variable between x = 2 and x = 6 is:
6 - 2 = 4
So, the average rate of change of the function over the interval 2 ≤ x ≤ 6 is:
(√10 - √6) / 4
To approximate the answer to the nearest hundredth, we can use a calculator or perform long division to get:
(√10 - √6) / 4 ≈ 0.29
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What is the range of this function? (16, 1) (18, –1) (3, 0)
Answer:
Exactly
Step-by-step explanation:
You Paid $600 for a new guitar. Your guitar cost $40 more than twice the cost of your friends guitar. How much did your friends guitar cost? 20
Answer: 340
Step-by-step explanation: +the answer is $340 to find the answer you need to take $600 and since its twice the cost plus $40 you divide $600 by 2 then you add $40 $600/2 +$40=$340
Answer: The Answer Is $340
Step-by-step explanation:
On average, Nathaniel drinks
4/5 of a 10-ounce glass of water in
2 2/5
hours. How many glasses of water does he drink in one hour? Enter your answer as a whole number, proper fraction, or mixed number in simplest form.
Nathaniel drinks 3 glasses of water in one hour.
To find out how many glasses of water Nathaniel drinks in one hour, we need to calculate his drinking rate per hour.
In 2 2/5 hours, Nathaniel drinks 4/5 of a 10-ounce glass of water.
Let's convert the mixed number of hours to an improper fraction:
\(2\frac{2}{5} = \frac{(5 \times2 + 2)}{5}\)
\(=\frac{12}{5}\)
Now, we can set up a proportion to find his drinking rate per hour.
We know that \(\frac{12}{5}\) hours corresponds to \(\frac{4}{5}\) of a glass of water.
Let's assign "x" as the number of glasses he drinks in one hour.
The proportion is then
\(\frac{(\frac{12}{5} hours) }{(x glasses) } =\frac{(\frac{4}{5} glass)}{(1 hour)}\)
Cross-multiplying gives us
\((\frac{12}{5} )\times1=\frac{4}{5}\times(x)\)
Simplifying, we get
\(\frac{12}{5} =\frac{4}{5}\times x\)
Dividing both sides by \(\frac{4}{5}\), we find x:
\(x=\frac{(\frac{12}{5} )}{\frac{4}{5} }\)
\(x=\frac{12}{4}\)
\(x = 3.\)
Therefore, Nathaniel drinks 3 glasses of water in one hour.
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Can somebody help me with this math problem?
Answer:
i can't give answer because i cant see full graph but plot point A then draw a diagonal line through point M until your in the top right square and the line hits a point
Step-by-step explanation:
Answer: (-11, -5.5)
Step-by-step explanation:
Use Midpoint formula: \((\frac{x1+x2}{2} ,\frac{y1+y2}{2} )\)
Midpoint M= (-9, -3)
(x1, y1)=(-7, -0.5)
-------------------------------------------------
\(\frac{x1+x2}{2}\)=-9
-7+x2=-18
x2=-11
---------------------------------------------
\(\frac{y1+y2}{2}\)=-3
-0.5+y2=-6
y2=-5.5
(-11, -5.5)
Hope this helps!! :)
Please let me know if you have any question
HELP PLEASE
Which decimal is equivalent to 3.917¯¯¯¯ ?
Responses
3.9171717…
3.91739173917…
3.9177777…
3.917917917…
Question: 18 of 19
Lesson 18
Find the component form of the following vectors. Round your answers to the tenth.
Magnitude of v = 50, direction angle 0 = 50°
Choice 'A' OV
Choice 'B'O V
Choice 'C'OV
Choice 'D' OV
(38.3, 32.1)
(33.8, 31.2)
(32.1, 38.3)
(31.2, 33.8)
4
The component form of the following vectors is Option A. V = (38.3, 32.1).
To find the component form of a vector given its magnitude and direction angle, we can use trigonometry.
The component form of a vector in two dimensions is represented as (x, y), where x is the horizontal component and y is the vertical component.
In this case, the magnitude of the vector is given as 50, and the direction angle θ is 50°. We can use this information to calculate the horizontal and vertical components.
The horizontal component (x) can be found using the formula x = magnitude * cos(θ), and the vertical component (y) can be found using y = magnitude * sin(θ).
Let's calculate the components:
x = 50 * cos(50°) ≈ 38.3
y = 50 * sin(50°) ≈ 32.1
Rounding the answers to the nearest tenth, we get the component form of the vector V as (38.3, 32.1).
Therefore, the correct answer is A. V = (38.3, 32.1).
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The question is incomplete. Find the full content below:
Find the component form of the following vectors. Round your answers to the tenth.
Magnitude of v = 50, direction angle θ = 50°
A. V = (38.3, 32.1)
B. V = (33.8, 31.2)
C. V = (32.1, 38.3)
D. V = (31.2, 33.8)
Points A, B, C, and D lie on circle M. Line segment BD is
a diameter. The measure of arc CD equals the measure
of arc DA.
M
D
B
A
D
What is the measure of angle ADM?
O22.5°
30.0⁰
45.0°
67.5°
The measure of angle ADM is 45.0°, as the intercepted arc AD is congruent to arc CD.
To find the measure of angle ADM, we need to consider that angle ADM is an inscribed angle and its measure is half the measure of the intercepted arc AD.
Given that the measure of arc CD equals the measure of arc DA, it means that these arcs are congruent.
Therefore, the intercepted arcs AD and CD have equal measures.
Since angle ADM is an inscribed angle intercepting arc AD, the measure of angle ADM is half the measure of arc AD.
Therefore, the measure of angle ADM is 45.0°, as the intercepted arc AD is congruent to arc CD.
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Find the area of the figure
Answer:
104ft
Step-by-step explanation:
First - find the area of triangles.
h = hight
b = base
h • b / 2
5 • 8 /2 = 20ft
And
4 • 6 /2 = 12ft
And then area of the rectangle.
l • w
9 • 8 = 72 ft
Than add. Them all together
Which of these is a linear equation in
standard form for the graph shown?
Answer:
B
Step-by-step explanation:
Because the slope is a positive slope (goes through the positive quandrants on the graph), we can eliminate answer choices c. Now, if we solve a, b, and d and we can see if the slope + y-intercept matches the graph.
For A.) (solve for y to get a y=mx + b equation)
3x-2y=4
-2y= -3x + 4
y= 3/2 -2
For B.)
3x-2y= -4
-2y= -4-3x
y= 3/2 + 2
For D.)
2x+3y= 4
3y= 4-2x
y= -2/3x + 4/3
Now, if we look at D, the slope is negative so it cannot be D. That leaves us with A and B. The b in the y=mx + b equation stands for the y-intercept, so we can see that the y-intercept is 2. So, since the graph intersects the y-axis at (0,2), the answer is B! y=3/2 + 2 has a positive slope and 2 for the y-intercept!
True or False: If your friend wants to take 6 hours for the 300 mile drive and you want to take 6 hours for the 240 mile drive, then you are driving faster than your friend.
Answer: I'm pretty sure this is false.
Step-by-step explanation:
If you are driving the same amount of time as your friend, then you travel the same distance, unless you are going different speeds. The person that travels the most amount of distance would be going faster, in this case your friend.
Please don't quote me on this, I only THINK this is right, not 100%
y = 1/3x -1
x-intercept (3,0)
How did they get this answer? Somebody please help
Answer:
Step-by-step explanation:
x-intercept is where the line cuts the x-axis. That is, when y=0.
Substitute y=0 and we get:
\(0=\frac{1}{3} x-1\)
\(1=\frac{1}{3} x\)
\(x=3\)
So x-intercept is the point (3,0).
find m
please and thank you
The measure of angle K and L in the first figure is ∠L = 23 degrees and ∠K = 157. Second figure, the measure of ∠K = ∠L = 70 degrees.
What is sum of interior angles?A polygon's interior angle is the angle created between its two adjacent sides. Alternately, we may state that the internal angle of a polygon refers to the angle measured at the interior portion of a polygon.
For figure 2 the two lines are parallel to each other, and the line that meets the parallel line at points at M and L are from two equal lines.
Hence, the angle suspended by both are equal, that is:
∠L = ∠M
∠L = 23 degrees.
Now, the ∠K and ∠J are created by two parallel lines; hence they are equal:
∠K = ∠J = x
The sum of interior angles of a quadrilateral is 360, so:
∠L + ∠M + ∠J + ∠K = 360
23 + 23 + x + x = 360
46 + 2x = 360
2x = 360 - 46
x = 157
Hence, the measure of angle K and L is 157 and 23 respectively.
For the second figure, the angle K and L are created by equal length of segments.
∠K = ∠L = x
The sum of interior angles of a quadrilateral is 360, so:
∠L + ∠M + ∠J + ∠K = 360
x + 90 + 130 + x = 360
2x + 220 = 360
2x= 360 - 220
x = 70
Hence, the angle of K and L is 70 degrees.
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