The y-intercept of the line passes through (12,-4) and (-6,10) is 32/6
Let (x1, y1) = (12, -4)
and (x2, y2) = (-6, 10)
Using the formula of the two-point form of equation of line,
(y - y1)/(y2 - y1) = (x - x1)/(x2 - x1)
(y + 4)/(10 + 4) = (x - 12)/(-6 - 12)
(y + 4)/14 = (x - 12)/(-18)
-18y -72= 14x - 168
-18y = 14x - 168 + 72
-18y = 14x - 96
y = -(14/18)x + 96/18
y = -7/9 x + 32/6
Comparing with slope-intercept form of line y = mx + b
y-intercept(b) = 32/6
Therefore, the y-intercept of the line passes through (12,-4) and (-6,10) is 32/6
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three ratios that are equivelent to 11 : 1
Answer: 22:2, 33:3 and, 44:4
Step-by-step explanation:
Answer:
Step-by-step explanation:
22 : 2
33 : 3
44 : 4
Thanks to whoever helps
Answer:
Step-by-step explanation:
erm
A triangle is 180 degrees
Add both angles then subtract by 180
write in 1/3×1/4 lowest terms1/62/71/71/12
6
Pens cost 20p each.
Rulers cost 60p each.
Saj buys some pens and some rulers.
He buys 8 rulers.
The total cost is £10
How many pens does he buy?
Answer:
26 pens
Step-by-step explanation:
Let P and R be the numbers of Pens and Rulers Saj purchases.
The cost of P Pens and R Rulers:
Pens = P(20p)
Rulers = R(60p)
P(20p) + R(60p) = £10
P(0.20) + R(0.60) = 10
R = 8
P(0.20) + (8)*(0.60) = 10
P(0.20) + 4.8= 10
P(0.20) = 5.2
P = (5.2/0.20)
P = 26 pens
CHECK:
8 Rulers = 8*(60p) = 480p
26 Pens = 26*(20p) = 520p
Total = £10
Given: ZADB = ZCBD ZABDZCDB m ZA= 3x + 15 mZC=8x-20 Find: x and m ZA A4 D B
Answer:
x = 7 , ∠ A = 36°
Step-by-step explanation:
since ∠ ADB ≅ ∠ CBD ( alternate angles )
and ∠ ABD ≅ ∠ CDB ( alternate angles )
then ABCD is a parallelogram
the opposite angles of a parallelogram are congruent , so
∠ C = ∠ A , that is
8x - 20 = 3x + 15 ( subtract 3x from both sides )
5x - 20 = 15 ( add 20 to both sides )
5x = 35 ( divide both sides by 5 )
x = 7
Then
∠ A = 3x + 15 = 3(7) + 15 = 21 + 15 = 36°
Answer: x = 7 and m∠A = 36
Step-by-step explanation:
Here ∠ADB ≅ ∠CBD and ∠ABD ≅ ∠CDB
This configuration is found when a quadrilateral has two parallel sides which have a diagonal as their transversal. Thus the figure is of parallelogram. In a parallelogram, opposite angles are equal. Thus m∠A = m∠C
⇒3x +15 = 8x - 20
⇒3x + 15 - 3x = 8x - 3x -20
⇒5x = 20 + 15
⇒x = 7
Now m∠A = (3X7) +15 = 36
NEEd HELP 9th grade asp
Answer:175/48
Step-by-step explanation:
. Represent Real World Problems Lorena and Benita are saving
money. They began on the same day. Lorena started with $40. Each
week she adds $8. The graph describes Benita's savings plan. Which
girl will have more money in 6 weeks? How much more will she
have? Explain your reasoning.
We need to know how to read a graph inorder to solve the problem. At the end of 6 weeks, Lorena will have more money, she will have $8 more than Benita.
We know that Lorena started with $40 and she added $8 every week. We need to find out the final amount she has at the end of 6 weeks. For Benita, we can see from the graph that she started with $50, since the graph starts from $50, and if we observe the amount after every week we can see that she adds $5 every week to the savings. We can directly say from the graph that the final amount Benita has after 6 weeks is $80.
amount Lorena has after 6 weeks = 40+ (6x8)=40+48=$88
Therefore we can see that Lorena will have more money after 6 weeks and she has $8 more than Benita.
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The flag of Colombia is a rectangle that is 66 ft. long with three horizontal stripes
The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller).
Below is a scale illustration of the Colombian flag that ranges from 1 cm to 2 ft.
How are scale illustrations created?It is already stated that all measurements would be done using a fixed scale for a given scale drawing. Let the scale, for illustration, be K feet to s inches.
1ft ; s/k in
Thus, all foot measures will be multiplied by s/k to obtain the relevant lengths in the drawing.
Since the ratio is 2:1, there are 1 centimeter for every 2 feet.
This indicates that to reach 33, we must divide 66 by 2.
66/2 = 3
As a result, the scale drawing of the Colombian flag is attached below and has a scale of 1 cm to 2 ft.
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Jaida worked 21 1/2 hours last week.She earned $11.60 per hour of work.How much money did jaida earn last week
Answer:
249.40
Step-by-step explanation:
Natalia and her friends held a bake sale to benefit a local charity. The friends sold 15 cakes on the first day and 22 cakes on the second day of the bake sale. They collected $60 on the first day and $88 on the second day. Write an equation to represent the amount R Natalia and her friends raised after selling c cakes.
In linear equation, R = 4c is an equation to represent the amount R Natalia and her friends raised after selling c cakes.
What are a definition and an example of a linear equation?
An equation with only one variable is referred to as a linear equation in one variable. It has the mathematical formula Ax + B = 0, where A and B can be any two real numbers, and x is an unknowable variable with just one possible value. A linear equation in one variable would be 9x + 78 = 18, for instance.The equation that will represent the amount raised after selling the cakes to be written in slope-intercept form is given as .
Where,
y = R (amount of cake sold in dollars)
x = c (cakes sold)
m = slope
b = y-intercept.
The equation would look like
R = mc + b
We need to find the value of m and b, to get an equation to represent the situation.
The first point we have from the information given is (15, 60) => 15 cakes sold for $60.
The second point is (22, 88) => 22 cakes sold for $88.
Slope(m) = 88 - 60/22 - 15 = 28/7 = 4
To find b, substitute c = 15, R = 60 and m = 4, into R = mc + b
60 = 4(15) + b
60 = 60 + b
b = 0
Since b = 0, this means there is a proportional relationship between R and c.
Substitute m = 4 and b = 0 into R = mc + b to derive an equation to represent the amount R Natalia and her friends raised after selling c cakes.
R = 4c + 0
R = 4c
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Linear equations
Which ordered pair is a solution of this equation, -2x+9y=-26
A. (4,4)
B. (-4,-4)
C. (-5,-4)
D. (-4,-5)
The ordered pair which is a solution to the given linear equation is (-5, -4)
What are linear equations?Linear equations are equations that has a leading degree of 1. The standard linear equation is given as Ax + By = C.
Given the linear equation below;
-2x+9y=-26
We need to determine the ordered pair that gives a solution to the linear expression.
For the coordinate point (4, 4)
-2(4) + 9y = -26
9y = -26 + 8
9y = -18
y = -18/9 = -2
This shows that (4, 4) is not a solution.
For the coordinate point (-4, -4)
-2(-4) + 9y = -26
9y = -26 - 8
9y = -34
y = -34/9
This shows that (-4, -4) is not a solution.
For the coordinate (-5, -4)
-2(-5) + 9y = -26
9y = -26 - 10
9y = -36
y = -4
This shows that (-5, -4) is a solution of the linear equation.
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Greg is at his house he gets in his car drives north 8.9 miles and stops at a store then he turns around and drives south 7.7 miles to his friends house how far is the friends house from Greg’s houses
The distance of the friends house from Greg’s houses is 1.2 miles.
How to illustrate the information?From the information illustrated, Greg is at his house he gets in his car drives north 8.9 miles and stops at a store then he turns around and drives south 7.7 miles to his friends house how
The distance will be the difference between the miles that are given.
This will be:
= 8.9 miles - 7.7 miles
= 1.2 miles
The distance is 1.2 miles.
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Give two examples of each type of number: real, natural, integers, rational and irrational.
The following examples are shown below:
Natural numbers: 2, 9Integers: - 3, 0Rational numbers: 5 / 7, - 13 / 8Irrational numbers: √5, πReal numbers: 0, √6What kind of real numbers does exist?In this problem we have to present five types of real numbers, which are defined and shown below:
Natural numbers - Smallest subset of real numbers: N = {1, 2, 3, 4, ...}. Examples: 2, 7, 9Integers - Combination of the subset of real numbers and another subset N' = {0, - 1, - 2, - 3, - 4, ...}. Examples: - 5, - 3, 0, 5, 8Rational numbers - Subset of all real numbers of the form m / n, where m and n are integers and n is a non-zero integer. Natural numbers and integers are also rational numbers. Examples: 5 / 7, - 9 / 11, 19 / 3, - 10 / 7Irrational numbers - Subset of all real numbers that are not rational. This subset is the complement of the subset of rational numbers. Examples: √2, - e, πReal numbers - Set of all rational and irrational numbers. Examples: - 5, 0, 2, 19 / 3, √3To learn more on real numbers: https://brainly.com/question/551408
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The corner grocery store sells bananas for $2.91 per pound. Select the store that sells bananas at a lower unit price. Mark all that apply.Store A: $8.16 for 4 poundsStore B: $6.51 for 3 poundsStore C: $2.66 for 2 poundsStore D: $11.40 for 4 pounds
Let's find the unit price of each store
Store A : $8.16 /4 = $2.04 per pound
store B: $6.51 / 3 = $2.17 per pound
store c: $2.66 / 2 = $1.33 per pound
store D : $11.40 / 4 = $ 2.85 per pound
Therefore, store A, store B, store C and store D sells at a lower unit price than Corner grocery store.
Solven - 8 + n = 1 -4n
We will solve as follows:
[tex]n-8+n=1-4n\Rightarrow2n+4n=1+8[/tex][tex]\Rightarrow6n=9\Rightarrow n=\frac{3}{2}[/tex]The longest side of a right angle triangle
is √46cm
One of the shorter sides has a length of
√7cm
What is the perimeter of the triangle?
Answer:
The exact answer would be:
[tex]\sqrt{39}[/tex] + [tex]\sqrt{7}[/tex] + [tex]\sqrt{46}[/tex] an approximate answer to the nearest whole number would be 7
Step-by-step explanation:
To find the missing side we would use the Pythagorean Theorem.
[tex]a^{2}[/tex] + [tex]b^{2}[/tex] =[tex]c^{2}[/tex]
[tex]\sqrt{7} ^{2}[/tex] + [tex]b^{2}[/tex] = [tex]\sqrt{46} ^{2}[/tex]
7 + [tex]b^{2}[/tex] = 46 Subtract 7 from both sides
[tex]b^{2}[/tex] = 39
[tex]\sqrt{b^{2} }[/tex] = [tex]\sqrt{39}[/tex]
b = [tex]\sqrt{39}[/tex]
The perimeter, the distance around the triangle, is [tex]\sqrt{39}[/tex] + [tex]\sqrt{7}[/tex] + [tex]\sqrt{46}[/tex]
Round 1.9541 to the nearest tenth
Answer:
2
Step-by-step explanation:
1.9541 lets only worry about 1.95 because it rounds to this rounding up because its five will be 2
Hari's weekly allowance varies depending on the number of chores he does. He received $18 in allowance the week he did 20 chores, and $12 in allowance the week he did 8 chores. Write an equation for his allowance in slope-intercept form.
The equation of his allowance in slope-intercept form is y = 0.5x + 8
He received $18 in allowance the week he did 20 chores.
He received $12 in allowance the week he did 8 chores.
The ordered pairs will be (8,12) and (20,18)
The slope intercept form is
y = mx + b
Where m is the slope
b is the y intercept
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Substitute the values in the equation
m = (18-12)/(20-8)
m = 6/12
= $0.5 per chores
Now we have to find b,
Substitute the value of any ordered pair in the slope intercept form
12 = 0.5×8+b
12 = 4+b
b = 12-4
b = 8
Hence, the equation of his allowance in slope-intercept form is y = 0.5x + 8
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You have a goal to practice the guitar for an average of at least 45 minutes per day for one week
An inequality that represents the number of minutes m you need to practice on the seventh day is m≤70.
Given that, You have a goal to practice the piano for an average of at least 45 minutes per day for one week.
What is a inequality?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
Let m be the number of minutes you need to practice on the seventh day
The inequality for the given situation is
245+m≤315
⇒ m≤315-245
⇒ m≤70
Therefore, an inequality that represents the number of minutes m you need to practice on the seventh day is m≤70.
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"Your question is incomplete, probably the complete question/missing part is:"
You have a goal to practice the piano for an average of at least 45 minutes per day for one week. The first six days you practice a total of 245 minutes.
Write and solve an inequality that represents the number of minutes m you need to practice on the seventh day.
Angle JKL and angle MKQ are complementary angles. The measures of angle JKL is twice the measure of angle MKQ.• Write one equation to find x, the measure of angle MKQ• Solve for X
Answer : x = 30 degrees
< JKL and < MKQ are complementary
Let < MKQ = x
Angle JKL is twice the measure of angle MKQ
JKL = 2 x MKQ
Sum of a complementary angles = 90 degrees
< JKL + < MKQ = 90
< JKL = 2MKQ
Substitute the value of < jkl
2(<2MKQ + Since, Therefore,
2x + x = 90
3x = 90
Divide both sides by 3
3x / 3 = 90/3
x = 30 degrees
If ADAB ACBA,
ZD = 132° and ZC = x + 18
Answer:
x = 114
Step-by-step explanation:
since the triangles are congruent then corresponding angles are congruent, then
∠ C = ∠ D , that is
x + 18 = 132 ( subtract 18 from both sides )
x = 114
What is the volume of a triangular pyramid that is 10 in. tall and has a base area of 9 square in?
The volume of a triangular pyramid that is 10 in. tall and has a base area of 9 square inches is 30 cubic inches.
Volume of a triangular pyramidTetrahedrons are polyhedra made up of four triangular faces, six straight edges, and four vertex corners. They are also referred to as triangular pyramids.
The given shape is known as a triangular pyramid and the formula for calculating its volume is expressed as:
V = BH/3
where
B is the base area
H is the height of the prism
Determine the base area
B = 1/2 * base * height
B = 9 square inches
H = 10 inches
Substitute the given parameters into the formula
V = 9*10/3
V = 3*10
V = 30 cubic inches
This given the required volume of the prism
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The opposite of the opposite by of 2 is to the_of zero and is written as _
Recall that the opposite of 2 is
[tex]-2.[/tex]Therefore, the opposite of the opposite of 2 is
[tex]-(-2)=2.[/tex]Now, recall that a horizontal number line is of the form:
Therefore, 2 is to the right of zero.
Answer:
On a horizontal number line, the opposite of the opposite of 2 is to the right of zero and is written as 2.
deltamath i need answers fast
Answer:
To stay within budget, she must use 3.9 gigabytes.
Caroline can use approximately 3.9 gigabytes of data while staying within her budget of $74 per month.
Let's assume the number of gigabytes of data Caroline can use while staying within her budget is represented by the variable "x."
The flat cost per month is $54.50, and Caroline pays an additional $5 per gigabyte.
If she wants to keep her bill at $74 per month, the equation can be set up as follows:
54.50 + 5x = 74
To solve for "x," we can isolate the variable on one side of the equation. First, subtract 54.50 from both sides:
5x = 74 - 54.50
5x = 19.50
Finally, divide both sides by 5:
x = 19.50 / 5
Simplifying the division gives us:
x = 3.9
Therefore, Caroline can use approximately 3.9 gigabytes of data while staying within her budget of $74 per month.
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3. Suppose that the scores on a statewide standardized test are normally distributed with a mean of 69 and a standard deviation of 6. Estimate the percentage of scores that were(a) between 57 and 81. %(b) above 81. %(c) below 63. %(d) between 51 and 81. %
Answer:
a) 95%
b) 2%
c) 16%
d) 98%
Explanation:
We have the following:
This is a normal distribution
Mean = 69
Standard Deviation = 6
a) Between 57 and 81%
[tex]\begin{gathered} z=\frac{x-\mu}{\sigma} \\ x=57 \\ z=\frac{57-69}{6}=-\frac{12}{6} \\ z=-2 \\ \\ x=81 \\ z=\frac{81-69}{6}=\frac{12}{6} \\ z=2 \\ \end{gathered}[/tex]The probability that a score is between 57 & 81 is given by the Area between (z = -2) & (z = 2):
[tex]\begin{gathered} P=0.97725-0.02275 \\ P=0.9545 \\ P=95.45\approx95 \\ P=95\text{ \%} \\ \\ \therefore P=95\text{ \%} \end{gathered}[/tex]b) Above 81%
[tex]\begin{gathered} z=\frac{x-\mu}{\sigma} \\ x>81 \\ z=\frac{81-69}{6} \\ z=\frac{12}{6}=2 \\ z=2 \end{gathered}[/tex]The probability that a score is above 81% is given by the area of the graph greater than (z = 2):
[tex]\begin{gathered} P=0.02275 \\ P=2.275\approx2.3 \\ P=2.3\approx2 \\ P=2\text{ \%} \\ \\ \therefore P=2\text{ \%} \end{gathered}[/tex]c) Below 63%
[tex]\begin{gathered} x<63 \\ z=\frac{63-69}{6} \\ z=-\frac{6}{6}=-1 \\ z=-1 \end{gathered}[/tex]The probability that a score is below 63% is given by the area of the graph lesser than (z = -1):
[tex]\begin{gathered} P=0.15866 \\ P=15.866\approx16 \\ P=16\text{ \%} \end{gathered}[/tex]d) Between 51 and 81
[tex]\begin{gathered} 51\le x\le81 \\ z=\frac{51-69}{6} \\ z=-\frac{18}{6}=-3 \\ z=-3 \\ \\ z=\frac{81-69}{6} \\ z=\frac{12}{6}=2 \\ z=2 \end{gathered}[/tex]The probability that a score is between 51 & 81 is given by the Area between (z = -3 & (z = 2):
[tex]\begin{gathered} P=0.97725-0.00135 \\ P=0.9759 \\ P=97.59\approx98 \\ P=98\text{ \%} \end{gathered}[/tex]geometry topic 2 test
Answer:
what is the question?
Step-by-step explanation:
Please helpppppp!!!!!!!!!!!!!!!!!!!!!!!!3|x_5|-|4y|/|x+y|when x=8 & y=4
Answer:
29/49
Step-by-step explanation:
x:y = 3:4
let x = 3x , y = 5k
3x+4y/8x+5y
= 3(3k)+4(5k)/8(3k)+5(5k)
= 9k+20k/24k+25k
=29/49
Answer this question for me
Answer:
3.97%
Step-by-step explanation:
You want to know the annual interest rate, compounded daily, that will result in $43,000 growing to $75,000 in 14 years.
FormulaThe formula for the account value is ...
A = P(1 +r/n)^(nt)
where P is the principal invested at annual rate r compounded n times per year for t years.
ApplicationFilling in the given values, we can solve for r.
75000 = 43000(1 +r/365)^(365·14)
75/43 = (1 +r/365)^5110 . . . . . divide by 43000 and reduce the fraction
Taking the 1/5110 power gives ...
(75/43)^(1/5110) = 1 +r/365 ≈ 1.00010886855
r/365 = 0.0010886855 . . . . subtract 1
r = 0.001086855·365 . . . . . multiply by 365
r ≈ 0.039737 = 3.9737%
The required interest rate is about 3.97%.
Which expression is equivalent to (m^−5n^−3)^−3?
Answer:
[tex]m^{15} n^{9}[/tex]
Step-by-step explanation:
2. Amy works at the local restaurant making $7.25 per hour in addition to tips. During her last shift, she earned $62 in tips and took home $112.75 for the day. How many hours did she work?
Answer:
She worked Seven (7) hours.
Step-by-step explanation:
$112.75 is the total
she earned $62 in tips which doesn't count because the questions asked for how long she worked.
Adding tips would make the equation unreliable because how long people work doesn't really affect how much tips you get. You maybe getting 50 bucks of tips in the first and 40 in the next.
solving steps: (where x = number of hours worked)
7.25x + 62 = 112.75 <<<the true equation based on the story
7.25x = 112.75 - 62
7.25x = 50.75
x = 50.75 ÷ 7.25
x = 7
Seven (7) hours worked.
