There are 14 apples in a basket. 5 of these apples are green. The rest of them are red.(
a. What is the ratio of red apples to all apples in the basket?(
b. What is the ratio of red apples to green apples?
Ratio of red apples to all apples in the basket is 9:14 and ratio of red apples to green apples 9:5
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
The number of apples are in basket =14
The number of green apples in basket = 5
The number of red apples are 14-5=9
As we know that 5 in 14 apples are green and remaining apples red.
So the red apples = 14-5=9
the ratio of red apples to all apples in the basket is 9:14
the ratio of red apples to green apples 9:5
Hence ratio of red apples to all apples in the basket is 9:14 and ratio of red apples to green apples 9:5
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Distributive property to simplify 39x5
what are the Answer choices
what is 3 divided by 18.6
3 divided by 18.6 is 0.16129032258
What is division?Math operations include division as one of its types. This technique involves splitting the phrases or numbers into the same amount of components.
Given expression,
3 divided by 18.6
To find the number :
We take division of 3 by 18.6.
3/18.6
= 0.16129032258
Therefore, the value is 0.16129032258
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Write the number 2174 to the nearest hundred
A turtle walked 1/8 of a mile in 1/2 of an hour. How many miles will he turtle walk in one hour?
I need to know this answer ?
combine all the like terms
4x^3 + 2x^2
then you have -6x-6x which = -12x and -10+4 = -6
so it becomes 4x^3+2x^2-12x-6
Answer is A
Which statement describes the graph of an odd function
A. The graph is symmetric about the line Y equals X
B. The graph is symmetric about the X axis
C. The graph is symmetric about the line X equals zero
D. The graph is symmetric about the origin
The correct description is about graph of an odd function is;
''The graph is symmetric about the origin''.
Option D is true.
What is odd function?
The function is said to an odd function if it satisfy the condition;
⇒ f (-x) = - f (x)
Given that;
The function is an odd function.
Now,
Since, The odd function is rotate by the figure 180 degree then it will remains same.
So, The graph of an odd function is symmetric about the origin.
Thus, The correct description is about graph of an odd function is;
''The graph is symmetric about the origin''.
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The element manganese is represented by the symbol ____. (Capitalization is important.)
Answer for Blank 1:
I think its "Cl"
Yeah, manganese has the symbol of MN be sure to capitalize
Using complete sentences, explain how to find the minimum value for each function and determine which function has the smallest minimum y-value. G(x) = 2 sin (x-π) F(x) = 3x^2 + 12x + 16
The minimum of G(x) is -2 and of F(x) is 4 So, G(x) has the smallest minimum y-value.
The function G(x) is a sine function. The sine function, sin(x), has a range of -1 to 1. The minimum value of sin(x) is -1. Since G(x) = 2 sin(x - π), we multiply the minimum value of sin(x) by 2.
The minimum value of sin(x - π) is:
sin(x - π) = -1
Thus, the minimum value of G(x) is:
2 * (-1) = -2
To find the minimum value of a quadratic function, we use the vertex formula, x = -b / 2a. For F(x), a = 3, b = 12, and c = 16.
The x-coordinate of the vertex is:
x = -12 / (2 * 3) = -12 / 6 = -2
Substitute x = -2 into the function to find the minimum y-value:
F(-2) = 3(-2)² + 12(-2) + 16
F(-2) = 3(4) - 24 + 16 = 12 - 24 + 16 = 4
A triangular table has angles with measures in the ratio 7:9:4. What is the measure of the smallest angle?
#12 if measure of angle 1 = 19x +1 and measure of angle 5 = 15x +13 then measure of angle 1 =? X=?
a law clerk has earned more than $20000 since being hired (it's a math inequality problem)
Write the slope-intercept form of the equation for the line.
A. y= -3x - 1
B. y= 1/3x - 1
C. y= 3x - 1
D. y= 1/3x + 1
(Picture is shown below)
The sides of a triangle are in the ratio 3 : 4 : 5. what is the length of each side of the perimeter of the triangle is 72 cm?
Left on together, the cold and hot water faucets of a certain bathtub take 8 minutes to fill the tub. If it takes the cold water faucet 18 minutes to fill the tub by itself, how long will it take the hot water faucet to fill the tub on its own
The hot water faucet cannot fill the tub on its own.
Explanation:To find the time it takes for the hot water faucet to fill the tub on its own, we need to determine the time it takes for the cold water faucet and the hot water faucet together to fill the tub. Let's assign variables:
We can create the equation:
C + H = T
Substituting the known values and solving for H:
18 + H = 8
H = -10
Since a negative time doesn't make sense in this context, it means that the hot water faucet cannot fill the tub on its own. Therefore, the question is not solvable.
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if tan(145) = -1/1.43 , what is tan(-125) A. -1.43, B. 1.43, C. 1/1.43, D. -1/1.43
Answer:
B. 1.43
Step-by-step explanation:
Because tan (180-θ)=-tan θ
[tex]tan (145) = tan (180 -35)= -tan 35 = -\frac{1}{1.43}\\tan 35 =\frac{1}{1.43}[/tex]
Because tan (90+θ) = -cot θ
tan (-125) can be written as:
[tex] tan(-125)=-tan (125) = - tan (90+35) = cot 35[/tex]
tan θ x cot θ =1
⇒tan 35 x cot 35 = 1
⇒[tex]\frac{1}{1.43} \times cot 35 =1 \\ cot 35 = 1.43[/tex]
⇒[tex] tan(-125)= cot 35 = 1.43[/tex]
The two figures above are regular. If s and t represent the lengths of the segments indicated in the figures, which statement is true? A. s > t B. t > s C. s = t D. No comparison can be made.
Without the necessary figures or context, we cannot make a correct comparison between segment lengths s and t. The question lacks clarity and detail, therefore the answer is that no comparison can be made.
Explanation:The geometrical figures and the comparison of segment lengths within these figures. Given the Pythagorean theorem and the details about forces and lines, we have information that could pertain to geometry, specifically to properties of triangles and the comparison of segment lengths or areas. However, without the actual figures or a clear indication of the context involving s and t, we cannot provide an accurate comparison between them. This implies that the answer would be D. No comparison can be made.
It is possible that s and t are referring to the lengths of sides in a triangle, but this question, as presented, lacks the clarity and detail required to make a precise calculation or comparison. For example, in the case of two segments being hypotenuse and side of right triangles, if we knew the lengths of the other sides, we could apply the Pythagorean theorem to find the relationship between s and t. But without this information or a clear diagram, we cannot conclude anything about the relationship between s and t.
write an equation in slope intercept form, passes through (-1,-10), parallel to y=7
An equation in slope intercept form, passes through (-1,-10), parallel to y=7 is y = -10 .
What is slope?The slope of a line is defined as the change in y coordinate with respect to the change in x coordinate of that line. The slope of a line is the measure of the steepness and the direction of the line.
What is standard form of slope for line and point ?The slope intercept formula y = mx + b is used when you know the slope of the line to be examined and the point given is also the y intercept (0, b). In the formula, b represents the y value of the y intercept point.
According to the question
An equation in slope intercept form,
passes through (-1,-10), parallel to y = 7
now,
When line is y = 7
that means , x = 0
and it is also a horizontal line , i.e slope (m) = 0
As, Parallel lines have same slope .
By using slope intercept formula for (-1,-10)
y = mx + b
substituting the value
-10 = 0 + b
b = -10
Therefore, putting values in general equation of slope intercept for any point
y = mx + b
y = -10
Hence, an equation in slope intercept form, passes through (-1,-10), parallel to y=7 is y = -10 .
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The measure of an exterior angle of a regular polygon is 72 degrees. Find the measure of an interior angle.
The difference between the roots of the quadratic equation x2+x+c=0 is 6. Find c.
To solve this question:
First, we compare with the standard quadratic equation to find a, b and c.Then, we apply Bhaskara to find the roots, as function of c.Then, since the difference is 6, we use this to find c.Doing this, we get that: [tex]c = -\frac{35}{4}[/tex]
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
[tex]ax^{2} + bx + c, a\neq0[/tex].
This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:
[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]
[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]
[tex]\Delta = b^{2} - 4ac[/tex]
x²+x+c=0
Comparing with the standard second order equation, which is:
[tex]ax^2 + bx + c = 0[/tex]
We get that:
[tex]a = 1, b = 1[/tex]
Finding the roots:
[tex]\Delta = b^{2} - 4ac = 1^2 - 4(1)(c) = 1 - 4c[/tex]
[tex]x_{1} = \frac{-1 + \sqrt{1 - 4c}}{2}[/tex]
[tex]x_{2} = \frac{-1 - \sqrt{1 - 4c}}{2}[/tex]
Difference of 6
Thus:
[tex]x_1 - x_2 = 6[/tex]
[tex]\frac{-1 + \sqrt{1 - 4c}}{2} - \frac{-1 - \sqrt{1 - 4c}}{2} = 6[/tex]
[tex]-\frac{1}{2} + \frac{\sqrt{1 - 4c}}{2} + \frac{1}{2} + \frac{\sqrt{1 - 4c}}{2} = 6[/tex]
[tex]\frac{2\sqrt{1 - 4c}}{2} = 6[/tex]
[tex]\sqrt{1 - 4c} = 6[/tex]
[tex](\sqrt{1 - 4c})^2 = 6^2[/tex]
[tex]1 - 4c = 36[/tex]
[tex]-4c = 35[/tex]
[tex]4c = -35[/tex]
[tex]c = -\frac{35}{4}[/tex]
Thus, [tex]c = -\frac{35}{4}[/tex] is the value.
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Devon and his friends bought strawberry wafers for $3 per packet and chocolate wafers for $1 per packet at a carnival. They spent a total of $30 to buy a total of 22 packets of wafers of the two varieties.
Part A: Write a system of equations that can be solved to find the number of packets of strawberry wafers and the number of packets of chocolate wafers that Devon and his friends bought at the carnival. Define the variables used in the equations. (5 points)
Part B: How many packets of chocolate wafers and strawberry wafers did they buy? Explain how you got the answer and why you selected a particular method to get the answer. (5 points)
A)
S = Strawberry wafer packets
c = chocolate wafer packets
s +c = 22
3.00s +1.00c = 30.00
B)
s + c = 22
s = 22-c
3.00(22-c) + 1.00c = 30.00
66.00 - 3.00c +1.00c = 30.00
66.00 -2.00c =30.00
-2.00c = -36.00
c = -36.00 / -2.00 = 18
18 packets of chocolate wafers
4 packets of strawberry wafers
A kitten grows from 5oz at birth to 3lb 5oz at 6 months (find the rate of change)
An experiment consists of drawing 1 card from a standard 52-card deck. what is the probability of drawing a diamond
The probability of drawing a diamond will be 1/4.
What is mean by Probability?
The term probability refers to the likelihood of an event occurring.
Given that;
An experiment consists of drawing 1 card from a standard 52-card deck.
Now,
Since, There are 13 diamond in 52 card deck.
So, The probability of drawing a diamond = 13 / 52
= 1 / 4
Thus, The probability of drawing a diamond will be 1/4.
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solve y + w - 3/4z = 0 for z
The expression solved for z is:
z = (4/3)*(y + w)
How to solve the expression for z?
Here we have the expression:
y + w - 3/4z = 0
And we want to solve it for z, which means that we need to isolate z on one side of the expression.
If we add (3/4)z in both sides we get:
y + w = (3/4)z
Now if we multiply both sides by (4/3).
(4/3)*(y + w) = (4/4)*(3/4)z = z
Then we got:
z = (4/3)*(y + w).
Thus, the expression is solved for z.
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The weights of bags of baby carrots are normally distributed, with a mean of 2929 ounces and a standard deviation of 0.330.33 ounce. bags in the upper 4.5% are too heavy and must be repackaged. what is the most a bag of baby carrots can weigh and not need to be repackaged?
A bag of baby carrots can weigh 2929.54 ounces to be not repackaged.
To find the weight threshold for bags of baby carrots that need repackaging, we need to find the weight value corresponding to the 95.5th percentile of the normal distribution. This corresponds to the value that separates the upper 4.5% of the distribution (since 100% - 4.5% = 95.5%).
We can use the z-score formula to find the z-score corresponding to the 95.5th percentile, and then use that z-score to find the corresponding weight value.
The z-score formula is:
z = [tex]\frac{x - \mu}{\sigma}[/tex]
where:
x - value we're interested in (weight threshold)
[tex]\mu[/tex] - mean of the distribution = 2929
σ - standard deviation of the distribution = 0.33
z - z-score corresponding to the percentile
First, let's find the z-score corresponding to the 95.5th percentile using a standard normal distribution table or a calculator. For a normal distribution, the z-score corresponding to the 95.5th percentile is approximately 1.645.
Now, we can rearrange the z-score formula to solve for x:
x = [tex]\mu[/tex] + z σ
Plugging in the values:
x = 2929 + 1.645 × 0.33
x = 2929 + 0.54285
x = 2929.54
Therefore, the most a bag of baby carrots can weigh and not need to be repackaged is approximately 2929.54 ounces.
The question is:
The weights of bags of baby carrots are normally distributed, with a mean of 2929 ounces and a standard deviation of 0.33 ounces. The bags in the upper 4.5% are too heavy and must be repackaged. What is the most a bag of baby carrots can weigh and not need to be repackaged?
The quotient of a number divided by 6 is 3.5.
if 8y-8=24, find the value of 2y
Convert 65 miles per hour to kilometers per second
Name a line segment that is perpendicular to Line AC
a.) Segment AE
b.) Segment BF
c.) Segment HD
d.) Not enough information
Leila makes 9 dollars for each hour of work. write an equation to represent her total pay p after working h hours
Final answer:
Leila's total pay after working a certain number of hours is found by the equation p = 9h, where p represents the total pay and h represents the hours worked.
Explanation:
Leila's total pay p after working h hours at a rate of $9 per hour can be represented by the equation p = 9h. This equation indicates that for every hour Leila works, she earns $9. Therefore, to find her total pay, you would multiply the number of hours she has worked (h) by her hourly wage ($9).