Answer:
a = -10
Step-by-step explanation:
-3a - 10 = 20
add 10 to both sides:
-3a - 10 + 10 = 20 + 10
-3a = 30
divide both sides by -3:
-3a/-3 = 30/-3
a = -10
Answer:
a=- 10
Step-by-step explanation:
-3a - 10 = 20
+10=+10
you end up with -3a=30
divide by -3 both side
a=-10
what is 1/3 of 9 cookies and lollipops
∵ 1/3 of 9 means multiply it by 9
[tex]\begin{gathered} \because\frac{1}{3}\times9=\frac{1\times9}{3}=\frac{9}{3} \\ \therefore\frac{1}{3}\times9=3 \end{gathered}[/tex]3 is 1/3 of 9 cookies and lollipops
Answer:
1/3 of 9 is 3.
Step-by-step explanation:
Think of it like this: what number can be added to itself 3 times to get 9? The answer is 3! 3 + 3 + 3 = 9. So, 1/3 of nine is 3 because 9 split into 3 sections would be 1/3 + 1/3 + 1/3 = 1 and 3 + 3 + 3 = 9. So, 1/9 simplified is 1/3!
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in the diagram measure angle ACB=61 find measure angle ACEMeasure of angle ACE=...°
From the figure, angle ACB anf angle BCD are complementary, that is,
∠ACB + ∠BCD = 90°
Replacing with data
61° + ∠BCD = 90°
∠BCD = 90° - 61°
∠BCD = 29°
From the picture, angle BCD and angle FCE are vertical angles, then they are congruent, which means that:
∠FCE = ∠BCD = 29°
Angle FCA is a right angle, that is, ∠FCA = 90°. Therefore:
∠FCE + ∠FCA = ∠ACE
29° + 90° = ∠ACE
119° = ∠ACE
How do you find ratios?
For example, if there are 5 blue balls and 7 red balls. the ration of the blue balls with the red balls is
[tex]5\colon7[/tex]it can also be written as a fraction :
[tex]\frac{5}{7}[/tex]It is important to put the one that was mentioned first in the numerator. in this case is blue ball, that's why 5 came first. If we are asked what is the ratio of the red balls with the blue balls , then we will have to indicate 7 first. The ratio will have to be
[tex]\begin{gathered} 7\colon5 \\ or \\ \frac{7}{5} \end{gathered}[/tex]The sequence is important.
When an integer is subtracted from 8 times the next consecutive odd integer, the difference is -33. Find the value of the greater integer.
The two consecutive odd integers are -7 and -5, then the greater integer is -5.
How to find the value of the largest integer?Let's say that the smaller integer is x and the larger one is y.
Such that if both of these are odd and consecutive, then y = 2 + x.
We can now write:
8*y - x = -33
Replacing y by x + 2 we get:
8*(x + 2) - x = -33
8x + 16 - x = -33
7x = -33 - 16 = -49
x = -49/7 = -7
that is the smaller integer, then the next one is:
y = x + 2 = -7 + 2 = -5
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The required value of the greater integer among the two consecutive odd integers is - 5.
What is an integer?An integer is a real number that has no decimal part.
suppose we have specified a particular odd no. 'O' then the consecutive odd integers are those numbers that arrive after every two numbers.
Given, an integer is subtracted from 8 times the next consecutive odd integer, the difference is -33.
Assuming the first odd integer to be 'n'.
So, the next consecutive odd integers are (n + 2), (n + 4)...
∴ 8(n + 2) - n = - 33.
8n + 16 - n = - 33.
7n = - 33 - 16.
7n = - 49.
n = - 49/7.
n = - 7.
So, the two integers are -7 and (-7 + 2) = - 5.
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what is the size of the angle between north west and south east?
180°
Step-by-step explanation:Size of the angle between:North and South: 180°East and West: 180°North East and South West: 180°North West and South East: 180°North West and North East: 90°South West and South East: 90°Please see the picture below. I need parts A B and C
We are given a graph and we are asked to determine if it is a function or not. To do that we will use the vertical line test. We will draw a vertical line and if the line touches the graph in more than two places in any given value of "x" then it is not a function. Therefore, the vertical line we get is:
Since the vertical line touches the graph in two axes this means that the given graph is not a function.
an oil prospector will drill a succession of holes attempting to find a productive well. assume the probability of being successful on any drilling is 0.15, and that outcomes of drillings are independent. what is the expected number of drilling attempts needed in order to find a productive well? what is the probability that the first productive well is found on the third attempt? if the prospector can only afford to drill five holes, what is the probability that the prospector will fail to find a productive well
The oil prospector drills wells with a success probability of 0.15. The probability of finding the first productive well in the third attempt is 0.108375 and the probability that the prospector fails to find productive well in the first 5 attempts is 0.26724 or 26.724%
Let Y be the number of drilling trials on which the prospector will find the first productive well. As Y is a geometric random variable with p=0.15 where p is the probability of being successful on any drilling. Let q = 1- p be the probability of being unsuccessful in drilling a well. q = 1 - 0.15 = 0.85
The probability that the first productive well is found on the third attempt is when outcomes are independent
P(Y=3) = q * q * p = 0.85^2* 0.15 = 0.108375
We want to find the probability that 5 wells are drilled and not a productive one is found. That is we need to find p(Y>5). Y is a binomial random variable with several wells drilled at most as n. Given n=5 and p=0.15, q = 0.85
We know the geometric probability is p(y) = [tex]q^{y-1}[/tex]p
Then corresponding probabilities are added
p(Y≤ 5 ) = p(0) + p(1) +p(2) + p(3) +p(4) +p(5)= 0.73276
Using the complement rule:
p(Y>5) = 1 - p(Y≤5) = 1- 0.73276 = 0.26724 = 26.724 %
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What is the equation of the line in slope-intercept form? 1,6 and 2,-6
The equation of the line in slope-intercept form would be; y = -12x + 18
How to get the slope-intercept form of a straight-line equation?If the slope of a line is m and the y-intercept is c, then the equation of that straight line is given as:
y = MX +c
To find the slope of a line, we the rate at which the value of 'y' is increasing as we increase the value of 'x' by one unit.
We have been given the point (1,6) and (2,-6)
y-y₁ = m(x-x₁)
m = (-6-6)/(2 -1)
m = -12/1
Now substitute;
y-y₁ = m(x-x₁)
y- 6 = -12(x- 1)
y- 6 = -12x + 12
y = -12x + 18
Hence, the equation of the line in slope-intercept form would be; y = -12x + 18
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3. Use the following map to calculate distance between the cities. Calculate the distance between Brookline and Charleston.
30 POINTS!!!!! NEEDS HELP ASAP!!!!
The associative property of addition says you can change the______. of addends without affecting the sum.
A. grouping
B. operation
C. order
Answer:
C. order
Step-by-step explanation:
The associative property of addition allows you to change the of numbers without affecting the sum.
Answer: Grouping
Step-by-step explanation:
Changing the grouping of addends does not change the sum. For example, ( 2 + 3 ) + 4 = 2 + ( 3 + 4 ) (2 + 3) + 4 = 2 + (3 + 4) (2+3)+4=2+(3+4)left parenthesis, 2, plus, 3, right parenthesis, plus, 4, equals, 2, plus, left parenthesis, 3, plus, 4, right parenthesis.
find regular and irregular polygons
Answer:
Regular Polygon:
D
Irregular Polygon:
A, B, F
Not a Polygon:
E, C
Step-by-step explanation:
Polygons are shapes with straight lines.
Regular polygons have uniform side lengths and angles.
8y+9>1 need help soon
Answer:
y > -1
Step-by-step explanation:
8y+9 > 1
-9 -9
8y > -8
/8 /8
y > -1
Please help!! Math is not my cup of tea and I’m really struggling!! ASAP
Given the function:
f(x)=x²-3x - 4
Find the following values.
a) f(2)
f(2)=
b) f(4)
ƒ(4)=
c) f(-3)
ƒ(-3) =
The values of f(2), f(4) and f(-3) for the function, f(x) = [tex]x^{2} -3x-4[/tex], are -6, 0 and 14 respectively.
According to the question,
We have the following information:
f(x) = [tex]x^{2} -3x-4[/tex]
Now, to find the values of each function we will put the values in place of x.
We will find the value of f(2) by putting 2 in place of x.
f(2) = [tex](2)^{2} -3(2)-4[/tex]
f(2) = 4-6-4
f(2) = -2-4
f(2) = -6
(We know that the numbers with negative sign are added but the result always remains in negative.)
We will find the value of f(4) by putting 4 in place of x:
f(4) = [tex](4)^{2} -3(4)-4[/tex]
f(4) = 16-12-4
f(4) = 4-4
f(4) = 0
Now, we will find the value of f(-3) by putting -3 in place of x:
f(-3) = [tex](-3)^{2} -3(-3)-4[/tex]
f(-3) = 9+9-4
f(-3) = 18-4
f(-3) = 14
Hence, the values of f(2), f(4) and f(-3) are -6, 0 and 14 respectively.
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Each exterior angle measure is one eighth the measure of each interior angle??
Answer:
Exterior angle = 20 degrees
Interior angle = 160 degrees
================================================
Explanation:
The phrasing "Each exterior angle measure is one eighth the measure of each interior angle" means,
exterior = (1/8)*(interior)
That rearranges to
interior = 8*(exterior)
Let's say x is the measure of the unknown exterior angle. That makes 8x the measure of the interior angle
The two must add to 180 to form a straight line.
interior + exterior = 180
8x + x = 180
9x = 180
x = 180/9
x = 20 is the measure of the exterior angle
8x = 8*20 = 160 is the measure of the interior angle
Note how 160+20 = 180 to verify our answers.
A hot air balloon is cruising at an altitude of 150 meters above the ground when it begins its descent. The balloon descends at a rate of 5.5 meters per minute. Write an equation to model when the balloon will reach an altitude of 95 meters above the ground. Use n to represent the unknown
150 - 5.5n= 95 equation to model when the balloon will reach an altitude of 95 meters above the ground.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that,
A hot air balloon is cruising at an altitude of 150 meters above the ground when it begins its descent.
The balloon descends at a rate of 5.5 meters per minute.
We need to write an equation to model when the balloon will reach an altitude of 95 meters above the ground.
The equation is 150 - 5.5n= 95
Hence 150 - 5.5n= 95 equation to model when the balloon will reach an altitude of 95 meters above the ground.
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the variance inflation factor (vif) is another measure that can detect a high correlation between three or more predictor variables even if no pair of predictor variables has a particularly high correlation. what is the smallest possible value of vif? (absence of multicollinearity).
Variance inflation factor can have a value as low as one (absence of multicollinearity). A VIF number greater than 5 or 10 generally denotes collinearity that is problematic.
The variance of bj is not inflated at all if the VIF is 1, which indicates that there is no association between the jth predictor and the other predictor variables.
VIF equal to 1 signifies that there is no correlation between the variables. A VIF of 1 to 5 indicates a moderate correlation between the variables. Variables are highly linked when the VIF is greater than correlated2.
VIF = 1.0 if all independent variables are orthogonal to one another. VIF = infinity if there is perfect correlation.
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Solve for d.
4d - 5 = 11
Answer:
d = 4
Step-by-step explanation:
4d - 5 = 11
a) Subtract 5 from both sides.
-5 + 5 = 11 + 5
4d = 16
b) Divide both sides by 4.
4d/4 = 16/4
16/4 = 4
Therefore, you're answer will be 4.
A dozen ears of corn for $5. find the unit rate
answer please and look at the pic
Answer: slope = [tex]\frac{y}{x}[/tex]
Step-by-step explanation:
Slope means gradient which is given by change in y
change in x
on the graph, change in y = 100-0 = 100
change in x = 95-45 = 50
so, gradient is 100/50
= 2
Triangle EFG is dilated by a scale factor of 2 centered at (0, 2) to create triangle E′F′G′. Which statement is true about the dilation?
Answer:Triangle EFG is dilated by a scale factor of 2 centered at (0, 2) to create triangle E'F'G'. Which statement is true about the dilation? segment EG ≅ segment E prime G prime. The slope of segment EF is the same as the slope of segment E prime H prime.
Step-by-step explanation:
a farmer needs to enclose three sides of a meadow with a fence (the fourth side is a cliff wall). the farmer has 34 feet of fence and wants the meadow to have an area of 140 sq-feet. what should the dimensions of the meadow be? (for the purpose of this problem, the width will be the smaller dimension (needing two sides); the length with be the longer dimension (needing one side). additionally, the length should be as long as possible.)
The dimensions are Width = 7 feets ; length = 20 feets
As given,
Meadow area is 140 square feet.
Height = W (smaller dimension and 2 sides)
Height = L (longer dimension and 1 side)
Fence yards equal 34 feet;
Hence,
L + W = 34
L + 2W = 34
L = 34 - 2W - - - (1)
Recall:
Area = L * W = 140
Substitute value of L
140 = (34 - 2W) * W
140 = 34W - 2W²
2W² - 34W + 140 = 0
W² - 17W + 70 = 0
W² - 10W - 7W + 70 = 0
W(W - 10) - 7(W - 10) = 0
(W - 10) = 0 or (W - 7) =0
W = 10 or W = 7
We choose the shorter width because length should be as long as possible:
W = 7
L + 2W = 34
L = 30 - 14
L = 20 feets
Therefore, The measurements are 7 feet wide and 20 feet long.
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P(3,-3) Q(8,7) R(5,-2)
Given S(11,1) is a point which lies on the extended line PR where QS is a perpendicular line to PRS. Find the area of triangle PQR.
Answer: the area of triangle PQR is 7.5 square units
Step-by-step explanation:
[tex]\displaystyle\\A_{PQR}=\frac{PR*QS}{2} \\\\1.\ (3,-3)\ \ \ \ \ (5,-2)\\\\PR=\sqrt{(5-3)^2+(-2-(-3))^2}\\\\PR=\sqrt{2^2+(-2+3)^2} \\\\PR=\sqrt{4+1^2} \\\\PR=\sqrt{4+1}\\\\ PR=\sqrt{5} \ units[/tex]
[tex]\diplaystyle\\2.\ (8,7)\ \ \ \ \ (11,1)\\\\QS=\sqrt{(11-8)^2+(1-7)^2} \\\\QS=\sqrt{3^2+(-6)^2} \\\\QS=\sqrt{9+36} \\\\QS=\sqrt{45}\\\\QS=\sqrt{9*5} \\\\QS=\sqrt{3^2*5} \\\\QS=3\sqrt{5}[/tex]
[tex]\displaystyle\\Hence,\\A_{PQR}=\frac{\sqrt{5}*3\sqrt{5} }{2} \\\\A_{PQR}=\frac{(\sqrt{5}*\sqrt{5}) *3 }{2} \\\\A_{PQR}= \frac{5*3}{2}\\\\A_{PQR}=\frac{15}{2}\\\\A_{PQR}=7.5 \ units^2[/tex]
Can someone please answer this!
Considering the situation described, it is found that:
a) The numeric values of the piecewise function are as follows:
W(30) = $300.W(40) = $400.W(47) = $505.W(52) = $580.b) The new piece-wise function is:
W(h) = 10h, 0 ≤ h ≤ 38.W(h) = 15(h - 38) + 380, h > 38.c) The new piece-wise function is:
W(h) = 12h, 0 ≤ h ≤ 40.W(h) = 18(h - 40) + 480, h > 40. What is a piecewise-defined function?A piecewise-defined function is a function that has different definitions, depending on the input of the function.
In this problem, the rule is one for times up to 40 hours, and another for times greater than 40 hours, hence the numeric values are given as follows:
W(30) = 10 x 30 = $300.W(40) = 10 x 40 = $400.W(47) = 15 x (47 - 40) + 400 = $505.W(52) = 15 x (52 - 40) + 400 = $580.For item b, the new reference is of 38 hours, hence the function is:
W(h) = 10h, 0 ≤ h ≤ 38.W(h) = 15(h - 38) + 380, h > 38. (the earnings for the first 38 hours are of 38 x 10 = $380).For item c, the new hourly wage is of 12 hours, hence the rule is:
W(h) = 12h, 0 ≤ h ≤ 40.W(h) = 18(h - 40) + 480, h > 40. (pay and half = 12 x 1.5 = 18, wage for the first 40 hours of 40 x 12 = 480).More can be learned about piecewise functions at brainly.com/question/19358926
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Paul biked 7 miles on Saturday and 15 miles on Sunday. What was the total distance, in miles, Paul biked during those 2 days?
We have that:
Paul biked 7 miles on Saturday.
Paul bike 15 miles on Sunday.
The total distance, in miles, the Paul biked during Saturday and Sunday is:
[tex]T=7+15=22[/tex]round your answer to the nearest tenth.
The next place value on the right should be used to round a number to the closest tenth (the hundredths). Simply take away all the digits to the right if it's 4 or fewer. Remove all the digits to the right after adding 1 to the digit in the tenths position if the number is five or above.
To what decimal place do you round?
Examine the hundredth number to determine the decimal number's nearest tenth. Add one to the tenth value if the number is more than 5. Remove all the numbers that are present after the tenth place if the value is less than 5, but keep the tenth place value in place otherwise. As an illustration, if you want to round up to the nearest.
Triangle Area Solver
A=hbb
2
b Base
Enter value
hb Height
Enter value
γ
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Hello may you please help me
The value of x for the given triangle is 30°.
According to the question,
We have the following information:
We have a triangle.
Three angles of the triangle are x°, 65° and (x+55)°.
We know that the sum of all the three angles of a triangle is 180°.
So, the sum of these angles will be 180°.
Now, adding three angles:
x° + 65° + (x+55)° = 180°
(2x+120)° = 180°
2x = 180-120
2x = 60
x = 60/2 (2 was in the multiplication on the left hand side. So, it is in the division on the left hand side.)
x = 30°
Hence, the value of x in the angles of the given triangle is 30°.
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the heights of men in a certain population follow a normal distribution with mean 69.7 inches and standard deviation 2.8 inches. (a) if 10 men are selected at random, what is the probability their average height is above 72 inches? (b) if exactly one man is selected at random, what is the probability his average height is above 72 inches? (c) what is the 80th percentile for the average height of 10 men? (d) what is the probability the average height of 10 men is between 70 and 71 inches?
a) 10 men are selected at random, the probability their average height is above 72 inches is 0.0122.
b) Exactly one man is selected at random, the probability his average height is above 72 inches is 0.0122.
c) The 80th percentile for the average height of 10 men is 0.0097%.
d) The probability the average height of 10 men is between 70 and 71 inches is 0.13607.
Mean = 69.7 inches
Standard Deviation = 2.8 inches
a) Using normal distribution,
P(Y > 72) = P(Y - mean > 72 - mean)
P(Y > 72) = P((Y - mean ÷ SD) > (72 - mean ÷ SD))
P(Y > 72) = P(Z > (72 - mean ÷ SD))
P(Y > 72) = P(Z > (72 - 69.7 ÷ 2.8))
P(Y > 72) = P(Z > 2.25)
P(Y > 72) = 1 - P(Z ≤ 2.25)
P(Y > 72) = 0.0122
b) P(man's height is above 72 inches) = 0.0122
c) (80 × 0.0122) ÷ 100
= 0.0097%
d) P( 70 > Y > 71) = P(70 - mean > Y - mean > 71 - mean)
P( 70 > Y > 71) = P((70 - mean ÷ SD) > (Y - mean ÷ SD) > (71 - mean ÷ SD))
P( 70 > Y > 71) = P((70 - mean ÷ SD) > Z > (71 - mean ÷ SD))
P( 70 > Y > 71) = P((70 - 69.7 ÷ 2.8) > Z > (71 - 69.7 ÷ 2.8))
P( 70 > Y > 71) = P(0.107 > Z > 0.464)
P( 70 > Y > 71) = 0.13607
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need help on this, thanks
For the given parallel lines with transversal ,and the pair of interior angles 72° and (7x +24)°, the value of x = 12°.
As given in the question,
Two parallel lines with transversal are given.
72° and (7x +24)°are pair of interior angles
Simplify the given relation to get the value of x we have,
72° + (7x +24)° =180°
⇒ 7x + (72 +24)° =180°
⇒ 7x + 96° = 180°
⇒ 7x = 180° - 96°
⇒ 7x = 84°
⇒ x = 84° /7
⇒ x = 12°
Therefore, for the given parallel lines with transversal ,and the pair of interior angles 72° and (7x +24)°, the value of x = 12°.
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Britany is bringing birthday cake and cookies to her office. She has already spent $10.00 on the cake. Cookies cost $0.70 each, and she does not wish to spend more than $34.50 for all desserts. If x represents the number of cookies she can buy, which of the following inequalities symbolizes this situation?
A.
$10.00x + $0.70 < $34.50
B.
$0.70x + $10.00 < $34.50
C.
$0.70x + $10.00 < $34.50
D.
$10.00x + $0.70 < $34.50
Considering the definition of an inequality, the correct answer is option C. the inequiality $0.70x + $10.00 < $34.50 symbolize this situation
Definition of inequalityAn inequality is the existing inequality between two algebraic expressions, connected through the signs:
greater than >.less than <.less than or equal to ≤.greater than or equal to ≥.The solution of an inequality is the set of numbers that make the inequality true.
Inequality in this caseIn this case, you know that:
Britany has already spent $10.00 on the cake. Cookies cost $0.70 each. She does not wish to spend more than $34.50 for all desserts.Being "x" the number of cookies Britany can buy, the inequality that expresses the previous relationship is
10 + 0.70x <34.50
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how to find n(A-B)
q no 9 ii
sure branliest
Answer: 11
Step-by-step explanation:
[tex]A-B=\{2\}[/tex].
Since there is 1 element in this set, the answer is 1.