Answer:
3/8
Step-by-step explanation:
hope it helps :)
Solve 2x + 6 < 8 or 2x + 8 > 12.
Answer:
2x + 6 < 8 = x < 1
2x + 8 > 12 = x > 2
so, for the first one it's x < 1
and for the second one it's x > 2
Step-by-step explanation:
Convert the following equation
into standard form.
y = -7x/2 - 3
Answer:
7x + 2y = - 6
Step-by-step explanation:
the equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
given
y = - [tex]\frac{7}{2}[/tex] x - 3 ( multiply through by 2 to clear the fraction )
2y = - 7x - 6 ( add 7x to both sides )
7x + 2y = - 6 ← in standard form
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Solve the equations for x and match the solutions.
The solution to each of the equations are matched together as:
1. 4 = 6/a*x + 5 → x = -a/6
2. 7 + 2ax = 13 → x = 3/a
3. -ax - 20 = -14 → x = -6/a
How to Solve an Equation?To solve an equation, apply the properties of equality in order to isolate the variable solved for to one side of the equation, which gives us the solution to the problem.
1. 4 = 6/a*x + 5
4 = 6x/a + 5
Combine like terms
-6x/a = -4 + 5
-6x/a = 1
-6x/a(a) = 1(a) [multiplication property of equality]
-6x = a
-6x/-6 = a/-6 [division property of equality]
x = -a/6
2. 7 + 2ax = 13
2ax = 13 - 7
2ax = 6
Divide both sides of the equation by 2a
x = 6/2a
x = 3/a
3. -ax - 20 = -14
-ax = -14 + 20
-ax = 6
x = 6/-a
x = -6/a
Therefore, the solutions are:
1. x = -a/6
2. x = 3/a
3. x = -6/a
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Word problems ( put solution )
1. John mixed 10.84 liters of honey water with 12.2 liters of
lemon juice to make a drink. Then he poured the mixture
into 0.75-liter bottles.
a) How many bottles could he fill completely with the mixture?
b) How many liters of the mixture were left
2.Mr. Alai bought a digital music player at $76.55 and a
memory card at $10.95 before sales tax. If the sales tax
was 10%, find the total amount he had to pay.
The number of bottles that could be completely filled is: 30 bottles. Additionally, he has 0.72 liters of drink left. On the other hand, the total price of the music player and memory card is $96.25 (with tax).
How to solve problem 1?To solve problem 1 we need to consider how much drink John got after mixing the honey water with the lemon juice.
10.84 + 12.2 = 23.04Subsequently, we divide the total juice in quantities of 0.75 to obtain the number of bottles that we can fill, as shown below:
32.04 / 0.75 = 30.72According to the above, 30 bottles of 0.75 liters can be filled and there would be a remaining 0.72 liters.
How to solve problem 2?To solve problem 2 we must add the value with tax of the two products
$76.55 + $10.95 = $87.5Later, to find 10% of this value we must divide it by 100 and multiply the result by 10 as shown below:
$87.5 / 100 = 0.8750.875 * 10 = $8.75Finally, we must add this value to the total value without tax ($87.5) to obtain the total value with taxes
$87.5 + $8.75 = $96.25
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Which equations represent the line that is parallel to 3x - 4y = 7 and passes through the point (-4, -2)? Select two
options.
Oy=-¾x+1
V 3x - 4y = -4
O 4x - 3y = -3
Oy-2=-¾(x-4)
Oy+2=¾(x+4)
Mark this and return
Save and Exit
Next
Submit
Answer:
Step-by-step explanation:
5
The equation of line passes through the point (-4, -2) will be;
⇒ 3x - 4y = - 4
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The point on the line are (-4, -2).
And, The parallel line is,
⇒ 3x - 4y = 7
⇒ y = 3/4x - 7/4
Now,
Since, The equation of line passes through the point (- 4, -2).
So, We need to find the slope of the line.
Since, The slope of the parallel line is same.
Hence, Slope of the line is,
⇒ y = 3/4x - 7/4
m = dy/dx = 3/4
m = 3/4
Thus, The equation of line with slope 3/4 is,
⇒ y - (-2) = 3/4 (x - (-4))
⇒ y + 2 = 3/4 (x + 4)
⇒ y + 2 = 3/4x + 3
⇒ y = 3/4x + 3 - 2
⇒ y = 3/4x + 1
⇒ 4y = 3x + 4
⇒ 3x - 4y = - 4
Therefore, The equation of line passes through the point (-4, -2) will be;
⇒ 3x - 4y = - 4
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Please help need answer now!!!!!! Pleaseee
Keaton knows that the slope of a certain line is m = -8/5. Does he have enough information to write the equation of the line? Explain. A. Yes the y intercept of this equation must be (0,0) so you can write the equation with only the slope value B. yes if you know the value of the slope, then you can guess the location of the y intercept and write the equation C. No, to write the equation of a line do you need to know both the Slope and one ordered pair that lies on the line D. No you don’t need to know the slope of a line to write its equation 
Answer:
C
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
the equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
To obtain either equation we require to know both the slope and one ordered pair that lies on the line.
URGENT!! ILL GIVE
BRAINLIEST!!!! AND 100 POINTS!!!!!
Answers in bold
Type of angle pair is same-side interior angles. These angles are supplementary so x = 46 degrees.
=================================================
Explanation:
The angles shown are known as "same-side interior" or "consecutive interior". They are interior because they are inside the parallel train tracks. They are considered "same-side" because both are below the transversal line.
If the train tracks are parallel, then those same-side interior angles are supplementary. This means they add to 180 degrees.
x+134 = 180
x+134-134 = 180-134
x = 46
y= 10
_
X
Is linear with or no linear
Answer:
Linear
Step-by-step explanation:
because it is in the form y=mx+c if rearranged
What is an equation of the line that passes through the points (4, 8)(4,8) and (4, 3)(4,3)?
Answer:
x=4
Step-by-step explanation:
x=4 would go through 4,3 and 4,8 as 4 is a vertical line
gabriel is bored and starts writing his name over and over again on his paper. what is the 1000th letter?
Answer:
'e'
Step-by-step explanation:
number of letter in his name: 7
number of times his name is written at the 1000th letter
= 1000/7 = 142 R 6
since there is a remainder of 6 letters after the previous complete set of his name, therefore the 1000th letter is the 6th letter of his name, and that is e
What are th roots of 3x^2+10=4x
The roots of the Quadratic Equation are
(2 + i√26)/3 and (2 - i√26)/3
Given, a quadratic equation i.e. 3x² + 10 = 4x
On simplifying, we get
3x² - 4x + 10 = 0
while checking the discriminant of the given quadratic equation, we get
D = b² - 4ac
D = (-4)² - 4(3)(10)
D = 16 -120
D = -104
i.e. D < 0.
So, the quadratic equation has imaginary roots
On applying quadratic formula, we get
x = (4 ± √(-104))/6
x = (4 ± i2√26)/6
x = (2 ± i√26)/3
Hence, the roots of the Quadratic Equation are
(2 + i√26)/3 and (2 - i√26)/3
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One plane can travel 10 miles per hour faster than another. One of them goes 135 miles in the same time it takes the other to go 130 miles. What are their speeds?
The speed of the slower plane is 260 mph and the speed of the faster plane is 270 mph.
What is the distance?Distance is defined as the product of speed and time.
Let the speed of the slower plane would be s
then (s+10) = speed of the faster
So time equation; time = dist/speed
130 / s = 135 / (s+10)
130(s+10) = 135s
130s + 1300 = 135s
135s - 130s = 1300
5s = 1300
s = 1300 / 5
s = 260
Since s = 260 mph is the speed of the slower plane
So, 270 mph is the speed of the faster.
Thus, the speed of the slower plane is 260 mph and the speed of the faster plane is 270 mph.
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i need help QUICK
Evaluate.
−[4.1−3(2.2) ]
___________ +2
(−0.2)^2
What is the value of the expression?
Enter your answer as a decimal in the box.
The value of the given expression in the question, -[4.1-3(2.2)] / (0.2)² + 2 is 64.5.
What do you mean by expression?
An expression in mathematics is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.)
You can think of expressions as being similar to phrases. A phrase in language may contain an action on its own, but it does not constitute a complete sentence.
-[4.1-3(2.2)] / (0.2)² + 2
Using the BODMAS rule to simplify the given expression.
Given expression can be written as:
= -[4.1-6.6] / 0.04 + 2
= -[-2.5]/0.04+2
=2.5/0.04+2
=62.5+2
=64.5
Therefore, 64.5 is answer for expression -[4.1-3(2.2)]/(0.2)^2+2.
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please help!
thank u.
a) In midday there is no change in the height of the water.
b) At 19.00 hours the height of water will decrease 1.5
Given,
The height of the water = h
Equation, h = 3sin(30t)°
t is the time in hours
a) We have to find the height of water in midday;
Midday = 12 noon
Now,
h = 3sin(30t)²
t = 12
Then,
h = 3sin(30 x 12)°
h = 3sin360°
h = 0
That is,
In midday there is no change in the height of the water.
b) We have to find the height of the water at 19.00
Now,
h = 3sin(30t)²
t = 19
Then,
h = 3sin(30 x 19)°
h = 3sin570°
h = -1.5°
That is,
At 19.00 hours the height of water will decrease 1.5
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Type the correct answer in the box. Use numerals instead of words. For this item, a non-integer answer should be entered as a fraction using / as the fraction bar. Simplify the numerical expression. The expression has a value equal to
[tex] \frac{2}3 \: \div {2}^{4} + ( \frac{3}{4} + \frac{1}{6} ) \: \div \frac{1}{3} [/tex]
After solving thie expression using BODMAS rule we get the result equal to [tex]\frac{67}{24}[/tex].
What is BODMAS?To solve arithmetic expressions of several operators, the BODMAS rule is a mathematics is a technique. We will solve an equation with several operators with the use of BODMAS. It provides the decoding of the mathematical phrase in the proper sequence.
B= Bracket
O= Of
D= Divide
M= Multiply
A= Addition
S= Subtraction
To solve this numerical expression,
[tex]\frac{2}{3}[/tex] ÷ 2⁴ + ([tex]\frac{3}{4}[/tex] + [tex]\frac{1}{6}[/tex]) ÷ [tex]\frac{1}{3}[/tex]
Use BODMAS method
[tex]\frac{2}{3}[/tex] ÷ 16 + ([tex]\frac{9+2}{12}[/tex]) ÷ [tex]\frac{1}{3}[/tex]
[tex]\frac{2}{3}[/tex] ÷ 16 + ([tex]\frac{11}{12}[/tex]) ÷ [tex]\frac{1}{3}[/tex]
[tex]\frac{2}{3}[/tex] × [tex]\frac{1}{16}[/tex] + ([tex]\frac{11}{12}[/tex]) × 3
[tex]\frac{1}{24}[/tex] + [tex]\frac{33}{12}[/tex]
[tex]\frac{67}{24}[/tex]
The expression has a value equal to [tex]\frac{67}{24}[/tex].
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a jet plane travels 1,290 in 3 hours Assuming its speed is constant, how long will it take to travel 5,160 Miles?
The time it takes is 12 hours to travel 5,160 Miles.
The time is take can be calculated as follows?
The first is calculate the speed of jet plane in miles/hour (mph)
= 1,290 / 3
= 430 mph
Next is to calculate the time is take to travel 5,160 by dividing the distance by the speed
= 5,160 / 430
= 12 hours
Thus, the time it takes is 12 hours.
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On a coordinate plane, the y-axis is labeled imaginary and the x-axis is labeled real. Point Z 1 is (3, 1), Z 2 is (negative 2, negative 5). Point A is at (1, negative 4), B is (5, 5), C is (negative 3, 1), and D is (4, negative 2). A dotted line goes from z 1 to (0, 0), and then down to point z 2. Which point represents z1 + z2?
The sum z1 + z2 gives the point with coordinates (1, - 4), so option A is the correct one.
Which point represents z1 + z2?We know that these two points have the coordinates:
z1 = (3, 1)
z2 = (-2, - 5)
And we want to find the addition of the two points.
To add them, we just need to add the correspondent coordinates:
(3, 1) + (-2, -5) = (3 - 2, 1 - 5) = (1, - 4)
That point is the sum of z1 and z2, and we know that it is the point A, so point A is the correct option.
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round to the nearest ten thousand
a.12,456
b.60,792
c.93,245
As per the rule of round off, the nearest ten thousand to the numbers are
a.12,456 = 10,000
b.60,792 = 60,000
c.93,245 = 90,000
Round off
Round off defines a change a number into an approximation having fewer significant digits.
Given,
Here we need to round off the following numbers to the nearest ten thousand.
a.12,456
b.60,792
c.93,245
a. 12,456
If you rounded to the nearest ten thousands place. The 1 in the ten thousands place rounds down to 1, or stays the same, because the digit to the right in the thousands place is 2.
If the digit to the right is less than 5 we round toward 0.
Therefore, 12,456 was rounded down toward zero to 10,000
b. 60,792
If you rounded to the nearest ten thousands place. The 6 in the ten thousands place rounds down to 6, or stays the same, because the digit to the right in the thousands place is 0.
So, if the digit to the right is less than 5 we round toward 0.
Then 60,792 was rounded down toward zero to 60,000
c. 93, 245
Similar to the previous one, if rounded to the nearest ten thousands place. The 9 in the ten thousands place rounds down to 9, or stays the same, because the digit to the right in the thousands place is 3.
When the digit to the right is less than 5 we round toward 0.
93245 was rounded down toward zero to 90,000
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Please help will mark Brainly
Answer:
B
Step-by-step explanation:
I did it, I know, can I have brainliest please?
Country S has 12,345,000 residents who tested positive for COVID-19. What is the largest place value of the numeric part of this quantity?
The largest place value of the numeric part of this quantity is 10 million.
What exactly is a place value in mathematics?Our entire number system is built around place value. This is the system in which the value of a number is determined by the position of its digits. The numbers 42,316 and 61,432 differ because the digits are in different positions.
Every digit in a number has a place value in mathematics. Place value is the value represented by a digit in a number based on its position in the number. For example, 7 hundreds or 700 is the place value of 7 in 3,743. The place value of 7 in 7,432 is, however, 7 thousands or 7,000.
In the number, 12,345,000, the highest place value is 1 and it denotes 10 million.
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Kim spent $65 dollars on a new computer but she gave away $10 dollars to her friend Samantha.How many dollars does Kim have left to buy her new computer.
Answer:
Step-by-step explanation:Le quedo +10$
Ya que
-65 y le regalaron +10
If d = 2, evaluate 6d.
Answer:
12
Step-by-step explanation:
1) Substitute d into the question
We can see that the question says that is d is 2 what would 6d be.
Another way of writing 6d would be 6 x d
If we put d into the equation we would be left with 6 x 2
2) Solve
6 x 2 = 12
Hope this helps, have a great day!!
Answer:
12
Step-by-step explanation:
6d=6(2)
6*2=12
HOPE IT HELPS
a fair die was thrown once what is the probability of getting either even or 6
Answer:
1/2 or 1/6
Step-by-step explanation:
a fair die has 6 possible outcomes:
1,2,3,4,5, or 6
probability of getting an even number is:
3/6 = 1/2 {as there are three possible even outcomes}
probability of getting 6 is:
1/6
Help me please!!!!!!!!!!!!
Answer:
1. 2,772
2.1,071
3.4,641
4. 36,610
5. 4,096
6. 36,270
7. 2,403
8. 3,320
Determine which of the lines if any are parallel or perpendicular
Answer:
Parallel: Lines a and b
Perpendicular: none
Step-by-step explanation:
Both lines a and b have a slope of 1/3.
This means they are parallel, so they'll never intersect.
Perpendicular lines form a right angle, and none seem to do see here.
A family has a $42,000 annual salary. Can they afford an $85,000 house with a $65,000 mortgage requiring payments of $720 per month, including principal, interest, taxes, and insurance?
Yes! they can afford an $85,000 house with a $65,000 mortgage requiring payments of $720 per month.
What is in a mortgage?
Principal, interest, taxes, and insurance make up the majority of mortgage payments. Your outstanding loan balance is reduced by the amount of the principal part. Borrowing money has a cost, which is interest.
Given data:
Annual Salary =$42,000
Cost =$85,000
Mortgage = $65000
Monthly Payment = $720
First Criterian : - Never Spend more than 2.5 times of your Annual Income.
2.5 * 42,000
= 105,000
it can be afforded.
Second Criterian : - Monthly Payment should not exceed Weekly Income
Monthly Payment = 720
Weekly earnings = 42000 / 52 weeks = 807
it can afforded.
Third Criterian : - monthly payment should not exceed 28% of monthly earnings.
Monthly payment = 720
Monthly earnings = 42,000 / 12 = 3500
28% * 3500
= 980
it can be afforded.
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Based on the graph above, determine the amplitude, midline, and period of the function
Amplitude:?
Period:?
Midline: y=?
The amplitude, midline and period of the function are 3 units, 4units and 5 units respectively
How to determine the amplitude, midline, and period of the function based on the graph?
The amplitude is half the full height of the periodic function. That is:
Amplitude = (maximum - minimum)/2
Check the image attached, the maximum and minimum are labeled max and min respectively
Amplitude = (-1 - (-7))/2 = 6/2 = 3 units
The midline is the middle of the periodic graph or halfway between the minimum and maximum of the graph
Midline = (maximum + minimum)/2
Midline = (-1 + (-7))/2 = -8/2 = -4 units
The period is the distance between two peaks or (maximums) on the graph.
Period = 1-(-4) = 5 units
Therefore, the amplitude, midline and period are 3 units, 4units and 5 units respectively
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A box of candy had 8 cherry pieces for every 3 lemon pieces. If the box had 30 lemon pieces how many cherry pieces would there be
Answer:
240
Step-by-step explanation:
30 X 8
If T is the midpoint of RS and V lies between R and T, which statement must be true?
T is the midpoint of RS and V lies between Rand T is RV+VT =TS
Explain about the midpoint?The midpoint of a line segment is known as the midpoint in geometry. It is the centroid of the segment and of the endpoints, and it is equally distant from both of them. It cuts the section in half.
Divide the measurement of the distance between the two end locations by 2. The middle of that line is located at this separation from either end. Alternately, combine the two endpoint x coordinates and divide by 2. similarly for the y coordinates.
The midpoint rule substitutes the midpoints, mi, of each subinterval for xi in a Remain sum with subintervals of equal width to estimate definite integrals.
T is the midpoint of RS so RT =TS
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T is the midpoint of RS and V lies between Rand T is RV+VT =TS
Explain about the midpoint?In geometry, a line segment's midpoint is referred to as the midpoint. It is both the segment's and the endpoints' centroid, and it is equally far away from each. The portion is halved by it.The distance between the two end points should be divided by two. This distance from either end is where the centre of that line is situated. You may also add the two endpoint x coordinates and divide the result by 2. the same is true for the y coordinates.The midpoint rule uses subintervals of equal width to replace the midpoints, mi, of each subinterval in a Remain sum for xi in order to estimate definite integrals.RT = TS because T is the midpoint of RS.
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Answer question in picture
The given graph can be expressed as an equation of f(x) = -2cos(-x).
What is a graph of a trigonometric function?
In these trigonometry graphs, the x-axis values of the angles are in radians, and the y-axis value of the function at each given angle is taken as f(x).
The given graph is of a negative angle of a negative cosine.
So if we draw the graph of the negative angle of a negative cosine, the graph will pass through the origin, but
If we multiply 2 from the graph of the negative angle of a negative cosine then we will get the same graph as shown in the given figure.
So the equation would be f(x) = -2cos(-x).
Hence, the equation of the graph will be f(x) = -2cos(-x).
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