Answer:
11/20
Step-by-step explanation:
To convert a decimal to a fraction, place the decimal number over its place value. For example, in 0.6, the six is in the tenths place, so we place 6 over 10 to create the equivalent fraction, 6/10. If needed, simplify the fraction.
Which step in the construction of copying a line segment ensures that the new line segment has
the same length as the original line segment?
Answer:
Fill in the blanks to declare sum equal to a + b (int _ = a __b
The average amount of money spent by students in the cafeteria last week was $2.75. The actual amount spent varied by no more than $0.50. Write and solve an absolute value inequality to represent the range of possible amounts.
The average amount of money spent by students in the cafeteria last week was between $2.25 to $3.25
What is an equation?An equation is used to show the relationship between numbers and variables. An equation can be linear, quadratic depending on the degree.
Let x represent the average amount of money spent by students.
The absolute value inequality is given by the equation:
|x - 2.75| = 0.5
Hence:
x - 2.75 = 0.5 or -(x - 2.75) = 0.5
x = 3.25 or x = 2.25
The average amount of money spent by students in the cafeteria last week was between $2.25 to $3.25
Find out more on equation at: https://brainly.com/question/13763238
#SPJ1
Rewrite the following quadratic function in vertex form and graph it F(x)=2x^2+8x+4
In vertex form, the quadratic function F(x) = 2x² + 8x + 4 is given by:
y = 2(x + 2)² - 4
The graph of the function is given at the end of the answer.
What is the equation of a parabola given it’s vertex?The equation of a quadratic function, of vertex (h,k), is given by the following rule:
y = a(x - h)² + k
In which:
h is the x-coordinate of the vertex.k is the y-coordinate of the vertex.a is the leading coefficient.What is the vertex of a quadratic equation?A quadratic equation is modeled by:
y = ax^2 + bx + c
The vertex is given by:
[tex](x_v, y_v)[/tex]
In which:
[tex]x_v = -\frac{b}{2a}[/tex][tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]For the function F(x) = 2x² + 8x + 4, the coefficients are given as follows:
a = 2, b = 8, c = 4.
Hence the coordinates of the vertex are:
h = -8/4 = -2.k = -(8² - 4(2)(4))/8 = -4.Hence:
y = 2(x + 2)² - 4
As the leading coefficient is of a = 2.
The graph of the function is given at the end of the answer.
More can be learned about quadratic functions at https://brainly.com/question/24737967
#SPJ1
Write the equation of the line in slope-intercept form for each question below.
7. slope = 3, y-intercept = 2
holow
Answer:
General linear equation;
[tex]{ \tt{y = mx + c}} \\ [/tex]
Where m is the gradientWhere c is the y-intercept[tex]{ \boxed{ \tt{y = 3x + 2}}}[/tex]
Can A contains 2,5 litres of juice and Can B contains 3 litres 250 millilitres of juice. If the juice from both can is mixed then what will be the total volume of juice? Give the answer in millilitres.
The total volume of the juice in milliliters is 5750ml.
Here, we know that, using unit conversion,
1 liter = 1000 milliliters
Juice contained in Can A is 2.5 liters.
converting it into milliliters,
2 liters = 2 x 1000ml
2 liters = 2000ml
the juice volume becomes 2500ml in Can A.
Juice contained in Can B is 3 liters and 250 milliliters
converting it into milliliters,
3 liters and 250ml = 3 x 1000ml + 250ml
3 liters and 250ml = 3250ml.
the juice volume becomes 3250ml in Can B.
When both Cans are mixed,
Total volume of the juice = volume of juice of can A + volume juice of can B
Total volume = 2500ml + 3250ml
Total volume = 5750ml.
To know more about unit conversion, visit
https://brainly.com/question/13016491
#SPJ9
The table below shows the cost of gasoline based on the number of gallons purchased. Gallons Purchased Cost of Gasoline 5 $16.25 8 $26.00 11 $35.75 14 $45.50 Which equation represents the cost, y, of x gallons of gasoline? Responses
The equation that represents the cost, y, of x gallons of gasoline, is expressed as: y = 3.25x.
How to Create a Linear Equation for a Table?To create an equation in slope-intercept form, y = mx + b, for a table of values, use two pairs of values from the table to find the slope (m) and determine the y-intercept (b).
Using (5, 16.25) and (8, 26.00) find the slope (m):
Slope (m) = change in y / change in x = (26.00 - 16.25) / (8 - 5)
Slope (m) = (9.75) / (3)
Slope (m) = 3.25
Find the y-intercept (b) by substituting m = 3.25 and (8, 26.00) into y = mx + b:
26.00 = 3.25(8) + b
26.00 = 26.00 + b
26.00 - 26.00 = b
0 = b
b = 0
Substitute m = 3.25 and b = 0 into y = mx + b:
y = 3.25x + 0
y = 3.25x
Therefore, the equation that represents the cost, y, of x gallons of gasoline, is expressed as: y = 3.25x.
Learn more about linear equation on:
https://brainly.com/question/4074386
#SPJ1
what is the greatest factors of 28,42,63
The greatest common factor of 28, 42, 63 is 7
Depending on the quantity and size of the numbers in the set, there are several possible approaches to calculate the GCF.
Finding the greatest common multiple of smaller numbers can be done by simply looking at each number's factors or multiples.
We'll find the factors for 28, 42 and 63 which are as follows :
Factors for 28: 1, 2, 4, 7, 14, and 28
Factors for 42: 1, 2, 3, 6, 7, 14, 21, and 42
Factors for 63: 1, 3, 7, 9, 21, and 63
As to find the GCF, we need to check the greatest factor which is common in all the three numbers individual factors. So, we find that 7 is the common factor in all three.
Hence, the greatest common factor of 28, 42, 63 is 7
To learn more about, greatest common factor, here
https://brainly.com/question/11221202
#SPJ1
Consider these graphed number lines. 4 number lines going from negative 5 to positive 5. Graph A: points are at 1 and 4. Everything between the points is shaded. Graph B: Points are at 1 and 4. Everything to the left of 1 and to the right of 4 is shaded. Graph C: Open circles are at 1 and 4. Everything between the points is shaded. Graph D: Open circles are at 1 and 4. Everything to the left of 1 and to the right of 4 is shaded. Which number line represents the solution for the inequality |2x – 5| Greater-than-or-equal-to 3? graph A graph B graph C graph D
The graph of the inequality |2x - 5| ≥ 3 represents 4 ≤ x ≤ 1 which is
B: Points are at 1 and 4. Everything to the left of 1 and to the right of 4 is shaded.
What is inequality?Inequality is a comparison between two nonequal quantities and they are of four types.
We know |2x - 5| ≥ 3 is,
2x - 5 ≥ 3.
2x ≥ 3 + 5.
2x ≥ 8.
x ≥ 4.
OR
-(2x - 5) ≥ 3.
-2x + 5 ≥ 3.
-2x ≥ - 2.
-x ≥ 1.
x ≤ 1. ( Think of moving the terms on other sides to make x positive)
So, the graph of the inequality |2x - 5| ≥ 3 is 4 ≤ x≤ 1.
learn more about inequality here :
https://brainly.com/question/20383699
#SPJ1
Find the missing side length, m.
Answer:
I believe the answer is 6.6
Step-by-step explanation:
If you multiply 6 by 10 you get 60. Divide 60 by 9 you get 6.6
Solve for m.
m – 6.82 = 9.24
Given that lines A and B are parallel, if angle 1 measures 48 degrees and angle 2 measures 51 degrees, what is the measure of angle 3?
Answer:
81°
Step-by-step explanation:
m∠1 + m∠2 + m∠3 = 180° because they add to form a straight angle.
I need help on this question 4 4/5 - 1 9/10 also show the work.
Answer:
29/10 or 2 9/10
4 4/5 - 1 9/10
make them into improper fractions
4 4/5 = 24/5
1 9/10 = 19/10
24/5 - 19/10 we need to get common denominators
24/5 × 2 = 48/10
48/10-19/10 = 29/10 = 2 9/10
Only answer if you are 100000% sure it's correct, if it's not correct I'm reporting <3
Answer: 0.000435
Step-by-step explanation:
1. Convert to decimal notation
More Icon
The exponent is 4, making it 10 to the power of 4. As the exponent is positive, the solution is a number greater than the origin or base number. To find our answer, we move the decimal to the right 4 time(s):
4.35 -> 0.000435
Scientific notation, or standard form, makes things easier when working with very small or very big numbers, both of which come up frequently in the fields of science and engineering. It is used in science, for example, to convey the mass of the heavenly bodies: Jupiter’s mass is kg, which is easier to comprehend than writing the number 1,898 followed by 24 zeroes. Scientific notation also makes solving problems that use such high or low numbers more straightforward.
Answer:
0.000435
Step-by-step explanation:
10^-4 = 0.0001
0.0001 × 4.35 = 0.000435
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Answer:
Hi
Step-by-step explanation:
Diego is actually and totally wrong
because √4 divide 2= 2 divide 2 =1
and 4/2=2
pls rate as brainliest
Convert 8.67 into fraction
8.67 as a mixed fraction is
8 and 67/100
you could also say 867/100
Whats the unit value of the 6 in 261
The unit value of 6 in the number 261 is: tens.
What is a place value?A place value can be defined as a numerical value which denotes a digit based on its position in a given number and it includes the following:
TenthsHundredthsThousandthsUnitTensHundredsThousands.Tens of thousands.Hundred of thousands.Millions.Tens of millions.Hundreds of millions.Billions.In this scenario, the unit value of each digit in the number 261 are as follows:
2 = unit.6 = tens.1 = hundreds.Read more on place value here: brainly.com/question/569339
#SPJ1
Add. Pllssssssss help
[tex] \bf \implies \: ( - \frac{9}{4}) \: or \: (- 2 \frac{1}{4} )\: or \: ( - 2.25 )\\ [/tex]
Step-by-step explanation:Step-by-step explanation is in attachment see and go through it
help!!!!!!!!!!! plsssssssssss
Answer:
1st image: -14, 4
2nd image: -0.7, 1.7
3rd image: -5/8, 7/8
Step-by-step explanation:
What I came up with...
Area of a Field A rectangular field is 364 yards in length and 433 yards in width. Find the area of the field in ACRES (1 acre = 43,560 square feet). Round to the nearest tenth of an acre
The area of the yard is 32.56 acres.
What is the area?
Area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a form on paper is the area that it occupies.
The measurement that indicates the size of a region on a plane or curved surface is called area. Surface area refers to the area of an open surface or the border of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.
Given,
the length of the field = 364 yards
width of the field = 433 yard
area of the field = length × breadth
area = 157612 sq. yards
1 sq. yard = 0.000207 acres
area in acres = 32.56 acres
To learn more about area from given link
https://brainly.com/question/25292087
#SPJ9
Janet rents a booth at the farmers market
that costs $150 a day. She sells jars of fresh
honey from her family farm for $8 each. At
the end of the day, she splits all the
money she brings home with her mom
who takes care of the bees. If j is the
number of jars of honey sold, write a
function f(j) representing how much
money Janet makes each day.
Using the image below, find the x value for the point that divides the line segment AB into a ratio of 2:3.
A. -1
B. -0.4
C. 0
D. 0.5
Answer:
The value of x for the point that divides the line segment AB into a ratio of 2:3 is (B) -0.4
Step-by-step explanation:
It is given that we need to find the x value for the point that divides the line segment AB into a ratio of 2:3 from the option given in the question.
Now, let us find the difference between the values of x of point A and of point B;
=> 5 - (-4)
=> 5 + 4
=> 9
Now, let us divide 9 by 5 so that we get the ratio 2:3;
=> 9/5
=> 1.8
Further, for getting the segments as 2 + 3;
=> 1.8 × 2
=> 3.6
and
=> -4 + 3.6
=> -0.4
Therefore, the value of x for the point that divides the line segment AB into a ratio of 2:3 is (B) -0.4
To know more about this topic, click here:
https://brainly.com/question/16805505
#SPJ9
help me help me pleasee
Answer:
g = -11
Step-by-step explanation:
The question is giving you the answer of (x)
1) Plug in -2, into x so it will look like this:
g(-2) = 4x^3 -x^2 +2x -2
2) Plug the -2 into the x, it will look like this:
g(-2) = -4(-2)^3 - (-2)^2 +2(-2) -2
3) Solve!
g(-2) = 8^3 - 4 - 4 -2
g(-2) = 32 - 4 - 4 - 2
g(-2) = 32
-2g/-2 = 22/-2
g = -11
I hope this helped! If you need more help with understanding, let me know! :)
8 more than negative 10
8 is greater than -10, because 8 is farther to the right than -10 in a number line.
If two of the angles in a scalene triangle are 54 87 degrees, what is the other angle
If two of the angles in a scalene triangle are 54° and 87°, the value of the other angle is 39°.
What is a scalene triangle?A scalene triangle is a triangle that has three unequal sides.
We have,
Two angles of a scalene triangle are 54° and 87°
We know that,
A scalene triangle has all its three angles different in measures and obeys the angle sum property.
i.e Sum of the three interior angles = 180 degrees.
Let M is the other angle.
M + 54° + 87° = 180°
M = 180 - 141
M = 39°
Thus the value of the other angle is 39°.
Learn more about triangles here:
https://brainly.com/question/12538366
#SPJ1
Jaydan uses 3/4 water and 1/5 lime juice and reese uses 2/3 water and 1/6 lime juice which one is weaker
Answer:
1/6 lime juice
Step-by-step explanation:
1/6 is less than 1/5,3/4,and 2/3
simplify 1/2 of √81×√16
Answer:
18
firstly you solve √81×√16
that is the square root of 81 × the square root of 16
so that equal to 1/2 × 9×4
another name for of is multiplication
1/2× 36
you divide 2 in 36 which is 18 and the 1 you multiple 1 ×18
= 18
Do the ratios 2 1 and 14 9 form a proportion?
No the given two ratios not form a proportion.
Any relationship that has a constant ratio is said to be proportional. For instance, the ratio of proportionality is the average number of apples per tree, and the number of apples in a crop is proportional to the number of trees in the orchard.
Two equivalent fractions are typically used to represent a proportion. For instance: The ratios on either side of the equal sign can be seen in the equation. Because inches and feet are consistent units, each ratio compares the same units, and as a result, all ratios are equivalent. Two quantities are compared to form a ratio. An equality of two ratios is a proportion.
Learn more about proportion here
https://brainly.com/question/18437927
#SPJ9
What is the equation of the line that passes through the point (-8,-8)(−8,−8) and has a slope of 0?
Answer:
[tex]y=-8[/tex]
Step-by-step explanation:
Recall the slope formula:
[tex]m=\frac{x_{2} -x_{1}}{y_{2} -y_{1}}[/tex]
Since all of the x and y values are -8, we can easily plug in the values.
[tex]m=\frac{-8+8}{-8+8}=0[/tex]
(The second -8 on the top and bottom is positive because adding when subtracting negatives, you must add. For example -1-(-1) would become -1+1=0)
Recall the point-slope formula:
[tex]y-y_{1} = m(x-x_{1} )[/tex]
Now substitute and solve.
[tex]y-(-8)=0(x-(-8)[/tex] Substitute
[tex]y+8=0(x+8)[/tex] Simplify
[tex]y+8=0[/tex] Distributive Property
[tex]y=-8[/tex] Subtraction Property
Therefore the answer is [tex]y=-8[/tex].
a scuba diver is swimming at the depth -46 feet and then swims 0.5 foot toward the surface every 3 seconds. what is the location of the scuba diver relative to the surface after 15 seconds
Answer:
-43.5
Step-by-step explanation:
After 15 second he would have swam to a level of -43.5.
7 is divided by the sum of a number and 8
Answer:
n + 8 ÷ 7
Step-by-step explanation:
I think that's the answer, but I could be wrong- lol.