Answer: yes
Step-by-step explanation:
the 2nd can be reached by dividing it by 2
Answer:
Below.
Step-by-step explanation:
Yes, because if we divide the first one by 2 we get the second equation:
4x/2 - 12y/2 = 16/2
= 2x - 6y = 8
Work out the missing number
a) 0.36 ÷
= 0.09
Solve the inequality x − 3≤14.
Please help me with this problem!
The length of the indicated lines segments are as follows:
HI = 10 unitsHJ = 20 unitsHow to find length of a line segment?The line segment is given and we are ask to find the length HI and HJ in the line segment.
Therefore, let's find HI
13.
HI = x - 2
GI = 13
HJ = 2x + 2
GJ = 4x - 19
Hence,
GH = 4x - 19 - (2x + 2)
GH = 13 - (x - 2)
Therefore,
4x - 19 - 2x - 2 = 13 - x + 2
2x - 21 = 15 - x
2x + x = 15 + 21
3x = 36
x = 36 / 3
x = 12
Therefore,
HI = x - 2 = 12 - 2 = 10
12.
Let's find HJ
HJ = x + 30
IJ = 2x + 26
HK = x + 33
IK = 9
Therefore,
JK = x + 33 - (x + 30) = x + 33 - x - 30 = 3
JK = 9 - (2x + 26) = 9 - 2x - 26 = -2x - 17
Therefore,
-2x - 17 = 3
-2x = 3 + 17
-2x = 20
x = 20 / - 2
x = - 10
Therefore,
HJ = -10 + 30 = 20 units
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Evaluate the expression.
12−{1+2[−1(3−8)]2}
What is the value of the expression?
Answer:
13
Step-by-step explanation:
12-{1+2[-1(3-8]2}
12-{1+2[-1-5]2}
12-{1+2[-6]2}
12-{3-4}
12-(-1)
12+1
13
Answer: -39 is the answer
Step-by-step explanation:
Mobius math
PLS, I need it!!!
Using angle relationships we have:
1. 18x = 180; x = 10
14x = 140°
4x = 40°
2. 7x + 40 = 180; x = 20
4x + 30 = 110°
3x + 10 = 70°
3. 4x + 80 = 180; x = 25
2x + 80 = 130°
2x = 50°
4. 7x + 5 = 180; x = 25
6x = 150°
x + 5 = 30°
How to Apply Angle Relationship?In order to determine the value of x and find the missing angle measures, we must use the appropriate angle relationship to create an equation to solve for x.
1. 4x + 14x = 180 [the angle relationship is that they are supplementary angles and therefore have a sum of 180 degrees.]
18x = 180
18x/18 = 180/18
x = 10
Plug in the value of x
14x = 14(10) = 140°
4x = 4(10) = 40°
2. 3x + 10 + 4x + 30 = 180 [supplementary angles]
7x + 40 = 180
7x = 180 - 40
7x = 140
7x/7 = 140/7
x = 20
Plug in the value of x
4x + 30 = 4(20) + 30 = 110°
3x + 10 = 3(20) + 10 = 70°
3. 2x + 2x + 80 = 180 [the angle relationship is supplementary]
4x + 80 = 180
4x = 180 - 80
4x = 100
4x/4 = 100/4
x = 25
2x + 80 = 2(25) + 80 = 130°
2x = 2(25) = 50°
4. 6x + x + 5 = 180 [the angle relationship is supplementary]
7x + 5 = 180
7x = 180 - 5
7x = 175
x = 25
6x = 6(25) = 150°
x + 5 = 25 + 5 = 30°
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Harry downloads album a which has 11 tracks. NEED HELP WITH B . Thankssss
A) The total cost of downloading B will be £13.3.
B) The total cost of downloading B for 5 tracks is less than 5 p.
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Harry downloads album A which has 11 tracks.
The total cost of downloading A is £10.45
Now,
Since, Harry also downloads album B which has 14 tracks.
So, The total cost of downloading B = £10.45 x 14 / 11
The total cost of downloading B = £146.3 / 11
The total cost of downloading B = £13.3
And, The total cost of downloading B for 5 tracks = £10.45 x 5 / 11
The total cost of downloading B for 5 tracks = £52.25 / 11
The total cost of downloading B for 5 tracks = £4.75
Therefore, The total cost of downloading B for 5 tracks is less than 5 p.
Thus,
A) The total cost of downloading B will be £13.3.
B) The total cost of downloading B for 5 tracks is less than 5 p.
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Can you answer this? ASAP
Answer:
h = 5m
Step-by-step explanation:
A = 1/2bh
15 = 1/2(6)h
15 = 3h
h = 5
Simplify the ratio of 4 :12
the answer Is 1:3
Step-by-step explanation:
reduce 4:12 to the lowest term and you will have 1:3
(1 point)
In 2003, the price of a certain automobile was approximately $31,500.00 with a depreciation of $2,280.00 per year. After how many years will
the car's value be $17,820.00?
a) Write an equation to model the problem. Let t represent the number of years after 2003.
Answer:
b) Solve the equation to answer the question above. (Note: Include the units, in this case years.)
Answer:
Answer:
y = -2280x + 31,500
or
when x = 6
so 6 years
Step-by-step explanation:
y = -2280x + 31,500
y = -2280(6) + 31,500
y = -13,680 + 31,500
y = 17,820
The angle of elevation of the sun during a certain time of day is 42.4°. At this specific time day a 32.5 foot tree casts a shadow on the ground. How long is the tree's shadow?
The length of the tree's shadow will be 35.59 ft.
What is tangent function? Also explain how it is used in heights and distances?
Tangent function is one of the six trigonometric functions in mathematics. In heights and distances, tangent of the angle of elevation or depression can be used to calculate the distance or height of an object as -
tanФ = [P]/[B]
The domain and range of the tangent function is -
Domain - R - {(2k+1)π/2} [where k is an integer]
Range - R [where R is the set of real numbers]
Given is angle of elevation of the sun during a certain time of day as 42.4°. At this specific time day a 32.5 foot tree casts a shadow on the ground.
Assume that angle of elevation is equal to Ф
Now, using the tangent function, we can write -
tanФ = [tree height] / [tree shadow]
tan(42.4) = 32.5 / [tree shadow]
tree shadow = (32.5/tan(42.4))
tree shadow = 32.5/0.913 = 35.59 ft
Therefore, the length of the tree's shadow will be 35.59 ft.
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What % of 55 is 20?
Answer:
is 11
Step-by-step explanation:
d. How tall would the building be if it had 15 floors?
and the building has 9 floors
Answer: 300 feet
Step-by-step explanation:
you see according too my outstanding intelligence its 300 due to me owning the building
Step-by-step explanation:
how tall is the building with 9 floors now ?
or how high or tall is ombre floor ?
you left out crucial information.
I can give you only a relative answer assuming that the autumnal floors would have the same heir as the existing ones :
the existing building with 9 floors has a ratio of 9/9 floors, so it's size is 9/9 = 1/1 to its current size.
the extended building with 15 floors would have a size of 15/9 = 5/3 times its current size.
Find the zeros and the multiplicity of:
f(x) = x²(2x + 3)5(x − 4)²
Given function:
f(x) = x²(2x + 3)⁵(x - 4)²Zero's are:
1.
x² = 0x = 0, multiplicity of 22.
(2x + 3)⁵ = 02x + 3 = 0x = - 1.5, multiplicity of 53.
(x - 4)² = 0x - 4 = 0x = 4, multiplicity of 2Answer:
[tex]\textsf{$x=0$ with multiplicity 2.}[/tex]
[tex]\textsf{$x=-\dfrac{3}{2}$ with multiplicity 5.}[/tex]
[tex]\textsf{$x=4$ with multiplicity 2.}[/tex]
Step-by-step explanation:
The multiplicity of a zero refers to the number of times the associated factor appears in the factored form of the equation of a polynomial.
Given polynomial:
[tex]f(x)=x^2(2x+3)^5(x-4)^2[/tex]
To find the zeros of the given polynomial in factored form, set each factor to zero and solve for x:
[tex]\implies x^2=0 \implies x=0[/tex]
[tex]\implies 2x+3=0 \implies x=-\dfrac{3}{2}[/tex]
[tex]\implies x-4=0 \implies x=4[/tex]
As the factor "x" appears twice in the factored form of the polynomial, the associated zero has multiplicity 2.
As the factor (2x - 3) appears five times in the factored form of the polynomial, the associated zero has multiplicity 5.
As the factor (x - 4) appears twice in the factored form of the polynomial, the associated zero has multiplicity 2.
Solution
[tex]\textsf{$x=0$ with multiplicity 2.}[/tex]
[tex]\textsf{$x=-\dfrac{3}{2}$ with multiplicity 5.}[/tex]
[tex]\textsf{$x=4$ with multiplicity 2.}[/tex]
12. If f(x) = -9x + 8, then find f(-2). (Lesson 2-1)
A. -84
B. -8
C. 26
D. 200
Answer:
C. 26
Step-by-step explanation:
[tex]{ \tt{f(x) = - 9x + 8}}[/tex]
- f(-2) implies that x = -2, therefore; we substitute -2 in place of x in the function;
[tex]{ \tt{f( - 2) = - 9( - 2) + 8}} \\ \\ { \tt{f( - 2) = 18 + 8}} \\ \\ { \tt{f( - 2) = 26}}[/tex]
Heleine wants to save up for a Macbook during the 4 years of high school so she can have a computer to take to college. She wants to save $3,000. How much must she deposit monthly into an account that pays 1.54 % interest, compounded monthly, in order to have enough money?
Here is a formula for figuring out loan interest payments. Divide the annual payment amount, typically 12 months, by the interest rate you are being charged. Divide that sum by your loan's initial balance, which should be set at the full amount you borrowed.
How much would a loan for $30,000 per month be?Depending on the APR and length of the loan, the monthly payment for a $30,000 loan can vary from 64.48. For instance, your monthly payment would be $3095.21 if you took out a $30,000 loan for one year with an APR of 1.54%.
Example
Amount of Loan: = $3,000
monthly payment = 64.48
interest = 1.54
term equals 48 months
The total amount paid, including interest, was $305.21.
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A school surveys all 7th grade boys to determine what to seek in the school store this sample is
Answer: Biased
Step-by-step explanation:
It is biased because this survey is based off of opinions, of the 7th grade boys.
Rebecca needs 10 1/2 yards of fabric to make a quilt. she has one piece of fabric that is 2 1/2 yards and another piece of fabric that is 4 1/4 yards. how many more yards of fabric does does Rebbeca need to make a quilt
pls put step by step
The most appropriate choice for fraction will be given by -
Rebeca still needed [tex]3\frac{3}{4}[/tex] yards of fabric to make a quilt.
What is a fraction?
Suppose there is a collection of objects and a part of collection has been taken. The part which is taken is called fraction. In other words, part of a whole is called fraction.
The upper part of fraction is called numerator and the lower part of fraction is called denominator.
Here,
Length of fabric needed to make a quilt = [tex]10\frac{1}{2}[/tex] yards = [tex]\frac{21}{2}[/tex] yards
Length of one piece of fabric = [tex]2\frac{1}{2}[/tex] yards = [tex]\frac{5}{2}[/tex] yards
Length of another piece of fabric = [tex]4\frac{1}{4}[/tex] yards = [tex]\frac{17}{4}[/tex] yards
Total length of fabric Rebeca has = [tex]\frac{5}{2} + \frac{17}{4}\\[/tex]
= [tex]\frac{10 + 17}{4}\\[/tex]
= [tex]\frac{27}{4}[/tex] yards
Length of Fabric Rebeca still needed to make a quilt = [tex]\frac{21}{2} - \frac{27}{4}\\[/tex]
= [tex]\frac{42 - 27}{4}[/tex]
= [tex]\frac{15}{4}[/tex]
= [tex]3\frac{3}{4}[/tex] yards
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answer choices are 100, 80, 117, 63.
Answer:
117
[tex]100[/tex]
by taking the interior angle sum as 360
You are designing your frozen yogurt at TCBY and want to pick 4 toppings out of 23 different options. How many different combinations of toppings can you make?
Given Data:
The total number of toppings is: 23
The total number of selection is: 4
The expression to calculate the total number of compinations is,
[tex]\begin{gathered} ^{23}C_4=\frac{23\times22\times21\times20}{4!} \\ =\frac{23\times22\times21\times20}{1\times2\times3\times4} \\ =\frac{212520}{24} \\ =8855 \end{gathered}[/tex]Thus, a total of 8855 numbers of combinations are available.
Henry went shopping for a new pair of pants because of a sale. The store was offering a 10% discount. If the price on the tag was $21, what would be the price after the discount but before tax, to the nearest dollar and cent?
Answer:
Discount:
$2.10
Final Price:
$18.90
Step-by-step explanation:
Answer:
Step-by-step explanation:
$30.4
Step-by-step explanation:
fist we figure out what 5% of 32 is which is 1.6 then we subtract it from the total cost 32 - 1.6 = 30.4
Right triangle △PQR is shown on the coordinate plane below. ∠R is the right angle.
What is the area of △PQR? If necessary, round your answer to the nearest tenth.
The Right angled triangle △PQR, with the right angle at R, as plotted in the cartesian plane attached thereby along with the question statement, has an area of 25 sq. units.
As per the question statement and the graph attached alongside, a right angled triangle △PQR, with the right angle at R is plotted.
We are required to calculate the area of the above mentioned triangle.
To solve this question, first we will need to identify the coordinates of the vertices of PQR, which can be easily done by observing the plotted PQR in the reference attachment. Since R is the right angle, PR is the perpendicular or altitude for the △PQR while QR is it's base. Then, using the distance formula, we will calculate the lengths of PR and QR, and then apply these length magnitudes into the formula to calculate the area of a triangle which goes as [(1/2) * (base) * (altitude)].
Also, we need to know the distance formula which goes as,
"The distance between any two points (x₁, y₁) and (x₂, y₂) can be given by
√[(x₂ - x₁)² + (y₂ - y₁)²]"
From the plotted graph, we observe the coordinates of P as (-6, 9), Q as (-1, -1) and R as (-9, 5).
Now substituting the coordinates of P and R in the above mentioned distance formula, we get
PR = √[{(-9) - (-6)}² + (5 - 9)²]
Or, PQ = √[{(-9) + 6}² + (-4)²]
Or, PQ = √[(6 - 9)² + 16]
Or, PQ = √[(-3)² + 16]
Or, PQ = √(9 + 16)
OR, PQ = √25
Or, PQ = 5 units.
Similarly, substituting the coordinates of Q and R in the above mentioned distance formula, we get
QR = √[{(-9) - (-1)}² + {5 - (-1)}²]
Or, QR = √[{(-9) + 1}² + (5 + 1)²]
Or, QR = √[(1 - 9)² + (6)²]
Or, QR = √[(-8)² + 36]
Or, QR = √(64 + 36)
OR, QR = √100
Or, QR = 10 units.
Therefore, Area of our concerned triangle PQR
= [(1/2) * 10 * 5] = [(10/2) * 5 = (5 * 5) = 25 sq. units.
Triangle: In Mathematics, geometry and day-to-day life, any three-sided, closed polygon is known as a triangle.Right angle: An angle measuring 90° is known as a right angle.To learn more about Right-angled Triangles, click on the link below.
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Please answer I will give 50 points
Answer:
2/3
Step-by-step explanation:
2/3 is equivalent to 10/15
Let's Try it out (2 Steps)The population of a once very popular city of 250,000people has been decreasing by 3.5% each year,Write an exponential decay function that represents thepopulation after t years,y = a[1 – r)'250,000(1 - 3.5)Simplify!250,000(.035)Use your model to approximate what the population willbe 7 years from now.*Round answer to the nearest WHOLE number
The population at the onset as 250,000. There has been a 3.5% decrease every year.
The exponential decay function therefore is;
[tex]\begin{gathered} y=a(1-r)^t \\ a=250000,r=0.035,t=\text{time in years} \end{gathered}[/tex]Hence, to approximate what the population would be 7 years from now;
[tex]\begin{gathered} y=a(1-r)^t \\ y=250000(1-0.035)^7 \\ y=250000(0.965)^7 \\ y=250000\times0.779275\ldots \\ y=194818.9516 \\ y\approx194819\text{ (to the nearest whole number)} \end{gathered}[/tex]The population after 7 years shall be 194,819 people (rounded to the nearest whole number).
What is the value of the angle marked with x?
Answer:
x = 146°
Step-by-step explanation:
The given shape is a Rhombus. In rhombus, adjacent angles are supplementary.
x + 34 = 180°
Subtract 34 from both sides,
x = 180 - 34
x = 146°
x + 3/4 > - 1/3 Solve the inequality for x.
Simplify your answer as much as possible.
Answer:
x > -13/12
Step-by-step explanation:
x + 3/4 > - 1/3
x + 9/12 > -4/12
x > -13/12
-1/3 = -4/12
3/4 = 9/12
Answer:
x > - 13
12
Step-by-step explanation:
[tex]x + \frac{3}{4} > - \frac{1}{3} \\ x + \frac{3}{4} - \frac{3}{4} > - \frac{1}{3} - \frac{3}{4} \\ x > \frac{ - 4 - 9}{12} \\ x > - \frac{13}{12} [/tex]
Are 9^x and 3^2+x equivalent, or not? (That's nine to the power of x, and 3 to the power of 2+x)
Nine to the power of x, and 3 to the power of 2+x. 9ˣ and [tex]3^{2+x}[/tex] are equivalent.
Given that,
Nine to the power of x, and 3 to the power of 2+x.
9ˣ and [tex]3^{2+x}[/tex]
Exponent means the amount of times a number has been multiplied by itself is shown by its exponent. The result of multiplying 8 by itself n times is represented as follows:
8 × 8 x 8 x 8... times equals 8ⁿ
The phrase 8ⁿ above is pronounced as 8 raised to the power n. As a result, exponents are also sometimes referred to as power or indices.
9ˣ=[tex]3^{2+x}[/tex]
[tex]3^{2x}[/tex]=[tex]3^{2+x}[/tex]
Here, bases are equal powers are also equal.
2x=2+x
2x-x=2
x=2
If we substitute x=2 we get 9²=81 and [tex]3^{2+2}[/tex]=3⁴=81
Therefore, 9ˣ and [tex]3^{2+x}[/tex] are equivalent.
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I WILL GIVE 50 POINTS TO THOSE WHO ANSWER THESE PROBLEMS RIGHT NOOOO SCAMS PLEASE AND SHOW ME THE STEPS THIS IS DUE TOMMOROW
Answer:
1. You forgot to say what we have to do, we can't simplify or solve... so what do we do??
2. could you please rewrite on computer sorry I can't understand some
Step-by-step explanation:
Just checking if I'm right but
1. 6x² y + 14y²
2. 16x²+44
3. 26⁶ + 106⁴ -70
4. 81y² - 36
5. x² - 12 * + 27?
A group of 150 adults were asked whether they exercise and whether they are vegetarian. Their responses are summarized in the following table.
a). The percentage of adults that exercise is 42%
b). Percentage of adults are vegetarian is 40%
c). percentage of adults who are vegetarian and exercise is 26%
d). No, because the percentage found in part c is about the same as part b.
What is percentage?Percentage is a number or ratio that can be expressed as a fraction of 100.
According to data, total number of adults = 150
No. of vegetarian who exercise = 39
no. of non vegetarian who exercise = 24
No of vegetarian who don't exercise = 21
a). percentage of adults exercise = 39+24/150×100
=42%
similarly b) percentage adults are vegetarian = 39+21/150×100
= 40%
c) percentage of adults who are vegetarian exercise = 39/150×100
= 26%
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Solve the equation p + 5 = −12 for p.
−7
7
−17
17
Answer:
-17
Step-by-step explanation:
p+5=-12
five over and switch signs
p=-17
Dean spent one fifth of the amount of money in his wallet and then one fifth of what remained. He spent a total of £72. Find the amount of money in his wallet to start with.
Proportionately, the amount of money in Dean's wallet from the beginning was £90.
What is a proportion?A proportion is the portion of a variable contained in another variable.
Proportions are like ratios; they show the fractional part taken away from a whole number or value.
Proportions are stated as fractions, decimals, or percentages.
The first amount spent from his wallet = 2/5
The next amount spent from his wallet = 2/5
The sum of the fractional spending = 4/5 (2/5 + 2/5)
The total amount spent = £72
Let 4/5 = £72
The total money in his wallet = £90 (£72 ÷ 4/5)
Thus, since Dean had spent 4/5, which equals £72, proportionately, he had £90 to start with.
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