The proportion of the tapestries' height to width using whole numbers is 3:2
proportions are expressed as the ratio ratio two integers. For instance a/b is the ratio of a to b
Given the following sides it a tapestries
Width = 1m
Height = 1.5m
Taking the ratio of the height to the width is expressed as;
Ratio = 1.5 : 1
Writing as a fraction
Ratio = 1.5/1
Ratio = 1.5
Ratio = 15/10
Ratio = 3:2
Hence the proportion of the tapestries' height to width using whole numbers is 3:2
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Isjfjsjsjdbsbd please sleep is important
Answer:
13 1/2
Step-by-step explanation:
What we do is convert the mixed numbers into improper fractions
1 x 2 + 1 = 3
4 x 2 + 1 = 9
our new fractions are 3/2 and 9/2
multiply 3 x 9 = 27/2
simplify into mixed number = 13 1/2
Paul brought $24.50 to the art supply store. He bought a brush, a sketchbook, and a paint set. The brush was 1 3 as much as the sketchbook, and the sketchbook cost 1 2 the cost of the paint set. Paul had $2.00 left over after buying these items. What was the cost of each item
Answer:
so do
24.50-13=11.50
11.50-12.00= answer
Step-by-step explanation:
I think so
Express as a complex number in simplest a+bi form:
7-8i/-5+3i
[tex] \Large{\boxed{\sf z= -\dfrac{59}{\: 34} + \dfrac{19}{34}i}} [/tex]
[tex] \\ [/tex]
Explanation:To express the given complex number in a + bi form, also known as algebraic form, we will need to define what the conjugate of a complex number is.
[tex] \\ [/tex]
What is the conjugate of a complex number?[tex] \\ [/tex]
[tex] \textsf{Let z be our complex number, and} \: \overline{\sf z} \: \textsf{its conjugate.} [/tex]
[tex] \\ [/tex]
The conjugate of z, [tex] \overline{ \sf z}, [/tex] is the complex number formed of the same real part as z but of the opposite imaginary part.
Since a is the real part of z, and b is its imaginary part, this can be expressed as:
[tex] \sf If \: z = a + ib \:, then \: \overline{ \sf z} = a - ib [/tex]
[tex] \\ [/tex]
Let's express the complex number we're given in algebraic form.[tex] \\ [/tex]
[tex] \sf z = \dfrac{7 - 8i}{ - 5 + 3i} \\ \\ \\ \diamond \sf Multiply \: both \: the \: numerator \: and \: the \: denominator \: by \: the \: conjugate \: of \: - 5 + 3i. \\ \\ \\ \sf z = \bigg(\frac{7 - 8i }{ - 5 + 3i \: } \bigg) \times \bigg( \frac{ - 5 - 3i}{ - 5 - 3i} \bigg) = \dfrac{(7 - 8i)( - 5 - 3i)}{( - 5 + 3i)( - 5 - 3i)} \\ \\ \\ \diamond \: \sf Expand \: knowing \: that \: (a + b)(c + d) = ac + ad + bc + bd. \\ \\ \\ \\ \sf z = \dfrac{7( - 5) + 7( - 3i) + ( - 8i)( - 5) + ( - 8i)( - 3i)}{( - 5)( - 5) + ( - 5)( - 3i) + 3i( - 5) + 3i ( - 3i)} \\ \\ \\ \sf z = \dfrac{ - 35 - 21i + 40i + 24 {i}^{2} }{25 + 15i - 15i - 9 {i}^{2} } = \dfrac{24 {i}^{2} + 19i - 35 }{25 - 9{i}^{2} } \\ \\ \\ \diamond \sf \: Substitute \: {i}^{2} = - 1. \\ \\ \\ \sf \: z = \dfrac{24( - 1) + 19i - 35}{25 - 9( - 1)} = \dfrac{ - 24 + 19i - 35}{25 - ( - 9)} = \dfrac{ - 59 + 19i}{34} \\ \\ \\ \diamond \: \sf Simplify \: the \: expression. \\ \\ \sf \: z = \dfrac{ - 59 + 19i}{34} = \dfrac{ - 59}{ \: \: 34} + \dfrac{19i}{34} \\ \\ \\ \\ \implies \boxed{ \boxed{ \sf z = - \dfrac{59}{34} + \dfrac{19}{34}i }} [/tex]
[tex] \\ \\ [/tex]
▪️Learn more about the algebraic form of a complex number here:
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Can anyone help me ASAP!
Answer:
False
Step-by-step explanation:
Make me brainliest
I NEED HELP RIGHT AWAY!!!! I'LL GIVE YOU 30 POINTS AND TRY TO MARK YOU AS BRAINLIST.Q: What do you need to do to the equations so you can put them into the Graph tool? Put the equations into the Graph tool. To create the graph, select the correct relationship and then enter the values for the variables. Paste a screenshot of your graph in the space provided. Do you get the same solution as when you solved it algebraically?
The variables are the alphabets which can have any value depending on the relationship with the other numbers and variables in the equations.
To create the graph, select the correct relationship and then enter the values for the variables.
The graph is the representation of the equation in the form of lines or shapes.
The correct method to create a graph is to find the relationship of the variables and put their values to get the exact points.
The points are joined together to draw the required line or shape formed.
The best option of the given question is:
To create the graph, select the correct relationship and then enter the values for the variables.
For example in the given graph we see that the rate is increasing as the mass is decreasing.
The mass is plotted along x-axis and the rate along the y-axis.
Their relationship that they are inversely proportional i.e. one increases as the other decreases can be seen in the given graph.
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20% = 0.2 (true or false)
Answer:
TRUE
Step-by-step explanation:
20% is a 5th part of 100% which means that the same part of 1 is 0.2
Answer: its true
Step-by-step explanation: took the test
Find the slope of the line
Answer:
Step-by-step explanation:
A
-1+2x=x+3
help assappp
Answer:
4
Step-by-step explanation:
add the 1 to the 3 turns to 2x=x+4, then subtract the 1x to the 2x turns to 1x=4 or x=4
Answer:
4
Step-by-step explanation:
Divide 4.5kg in the ratio 4:5
Answer:
2 Kg and 2.5Kg.
Step-by-step explanation:
Total number of parts = 4 + 5 = 9.
So the required quantities are 4*4.5 / 9 and 5*4.5/9
= 2 and 2.5.
Answer:
2 : 2.5
Step-by-step explanation:
4 : 5 ----> 4x, 5x
4x + 5x = 4.5
9x = 4.5
x = 4.5 / 9
x = 0.5
4x
= 4 x 0.5
= 2
5x
= 5 x 0.5
= 2.5
4 : 5
= 4x : 5x
= 2 : 2.5
if 15 baseballs cost $9 how much would 30 baseballs cost
A person has $20,000 to invest. As the person's financial consultant, you recommend that the money be invested in Treasury bills that yield 3%, Treasury bonds that yield 6%, and
corporate bonds that yield 9%. The person wants to have an annual income of $1170, and the amount invested in corporate bonds must be half that invested in Treasury bills. Find
the amount in each investment.
What is the solution? Select the correct choice below and fill in any answer boxes within your choice
He invested $ 2000 in Treasury bills, $ 1000 in corporate bonds and $ 17000 in Treasury bonds.
Given that a person has $ 20,000 to invest, and as the person's financial consultant, you recommend that the money be invested in Treasury bills that yield 3%, Treasury bonds that yield 6%, and corporate bonds that yield 9%, and the person wants to have an annual income of $ 1170, and the amount invested in corporate bonds must be half that invested in Treasury bills, to find the amount in each investment the following calculation must be performed:
10,000 x 0.03 + 5,000 x 0.09 + 5,000 x 0.06 = 1050 8,000 x 0.03 + 4,000 x 0.09 + 8,000 x 0.06 = 1080 2,000 x 0.03 + 1,000 x 0.09 + 17,000 x 0.06 = 1170
Therefore, he invested $ 2000 in Treasury bills, $ 1000 in corporate bonds and $ 17000 in Treasury bonds.
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The amount of snow on the ground increased by 4 inches between 1 p.m. and 6 p.m. What integer represents the amount of snow that fell during those five hours?
Answer:
The snow from each event melts off before the next accumulation and no snow is on the ground at your scheduled time of observation. The total snowfall for that reporting 24-hour day is the sum of the three separate snow squalls, 6.7 inches, even though the snow depth on your board at observation time was zero. Snow often melts as it lands. your welcome!
What is an equation of the line that passes through the point (8,-8) and is perpendicular to the line 4x-3y=18
Answer:
Step-by-step explanation:
4x-3y=18
3y=4x-18
y=4/3x-6
By y=mx+c , Slope of line 4x-3y=18 is 4/3
Since the required line is perpendicular to the line 4x-3y=18 ,
slope of required line * Slope of line 4x-3y=18 = -1
slope of required line = -1/(4/3) = -3/4
Since the required line passes through (8,-8)
By point-slope form,
y-(-8)= -3/4(x-8)
y= -3/4x-2
can somebody please help m eits 9th grade math im so confused !
Answer:
Option 3: (5, 1)
Step-by-step explanation:
There are several ways of solving for systems of linear equations, either through graphing, substitution, or elimination.
The graphing method is the easiest, as you only need to plot points on the graph using the y-intercepts and the slopes.
I will be demonstrating the graphing method.
Given the systems of linear equations:
Equation 1: y = x - 4
where the slope, m = 1, and y-intercept (0, -4).
Equation2: y = -x + 6
where the slope, m = -1, and y-intercept (0, 6).
The y-intercept is the point on the graph where it crosses the y-axis, and has coordinates of (0, b).
Graphing Instructions:For Equation 1, plot the y-intercept, (0, -4) on the graph. Then use the slope, m = 1 (rise 1 unit, run 1 unit) to plot other points on the graph. Repeat this process until you have enough points to connect a line with.
Repeat these same procedures for graphing Equation 2, start by plotting its y-intercept at (0, 6), and its slope, m = -1 (down 1 unit, run 1 unit).
Solution:
The intersection of both lines occurs at point, (5, 1), which is solution to the given systems of linear equations. Therefore, the correct answer is the third option, (5, 1).
Attached is the screenshot of the graphed systems of linear equations, where it shows the point of intersection at (5, 1).
Bartley has Five-sevenths of a cup of whole milk and One-seventh of a cup of skim milk. He combines the milk into one container to make a protein shake.
How many cups of milk does Bartley have?
Answer:
Bartley has 50 cups of milk
Step-by-step explanation:
5/7 cups of milk so that will be they answer because your droping it and not hearing it
choose the scenario that could be represented by 5/6
A. five-foot piece of firewood is cut into six equal pieces
B. Six cups of dog food are fed to five dogs equally
C. A five-foot piece of firewood is cut into six equal pieces
D. Six ounces of cereal are shaded equally among five people
What is f(5)?
Dhejdk
Answer:
5f
Step-by-step explanation:
Someone help jm so confused
Sorry about that.
(21 - 17)² + 3⁴ =
4² + 81 =
16 + 81 =
Answer: 97
Answer:
97
Step-by-step explanation:
(21-17)²+3⁴=4²+81
=16+81
=97
please help with this question
f(n)=2.55+3.75(n), n>0
Answer:
SR= 2.55
GC=3.75
n=?
n rep number of games
SR shoe rental
GC Game cost
f(n)=2.55+3.75n
2.55=3.75n
n=2.55÷3.75
n=0.68
or
Hugo works for the Produce and Pantry grocery store as a bagger. He earns $57.50 for a 5-hour shift. How much does he earn per hour?
Answer:
$11.50
Step-by-step explanation:
57.50 in 5 hours
→ Divide 57.50 by 5
$11.50
Solve: 2x + 15 = 43 - 5x
Answer:
x = 4
Step-by-step explanation:
2x + 15 = 43 - 5x
2x + 5x = 43 - 15
7x = 28
x = 28/7
x = 4
Answer:
x = 4
Step-by-step explanation:
Step 1: Simplify both sides of the equation
2x +15 = 43 - 5x
2x +15 = 43 + - 5x
2x +15 = - 5x + 43
Step 2: Add 5x to both sides
2x + 15 + 5x= - 5x + 43 + 5x
7x +15 = 43
Step 3: Subtract 15 from both sides.
7x +15 -15 = 43 - 15
7x = 28
Step 4: Divide both sides by 7.
7x/7 = 28/7
Therefore the X = 4
are the given lines parallel? Explain your reasoning
Answer:
Yes
Step-by-step explanation:
Because, without the x, it makes them both a horizontal line. Therefore, never intersecting. Meaning, parallel.
Trinity purchase a 2 L bottle of soda from the store how many millimeters of soda did Trinity purchase
Answer:
Final answer: The best deal is the 2 L bottles for $1.79 each. We'll need 12 of them, which will cost us $21.48
Step-by-step explanation:
Hope it's helpful
We need to convert 2L to mL
1L=1000mLNow convert
[tex]\\ \tt\hookrightarrow 2L[/tex]
[tex]\\ \tt\hookrightarrow 2(1000)[/tex]
[tex]\\ \tt\hookrightarrow 2000mL[/tex]
Write how much Julie makes as a rate. What is the unit rate?
Answer:
rate: $12 dollars per hour, 6$ per half hour, etc.
unit rate: $12 per hour
work:
unit rate is how much of per one. 12 per hour is already in unit rates.
Find the length in the kite labeled x
12 in.
9 in.
13 in
Answer:
I think its 14
hope its right
Step-by-step explanation:
-16(x+1)=-4(2+4x) solve for x
pls help!
Answer:
No solution
Step-by-step explanation:
[tex] \\ - 16(x + 1) = - 4(2 + 4x)[/tex]
[tex] \\ \mapsto - 16x - 16 = - 8 - 16x[/tex]
[tex] \\ \mapsto - 16 = - 8 - 16x + 16x[/tex]
[tex] \\ \mapsto - 16 = - 8[/tex]
Do not have solution
What does it mean when two things have the same rate?
Answer:
Refer to the explanation for the answer!
Step-by-step explanation:
What does it mean when two things have the same rate?
Having the same rate of something else means it's synchronized or the same. A real world example could be two cars going the same speed, so not only are they going at the same pace, but the two cars have the same rate.
Hope this helped, if you have additional questions let me know!
Use the distributive property to remove the parentheses (x - 12) 7
Answer:
6999999
Step-by-step explanation:
Funny Number.
the sum of two numbers is 98. if the larger number is divided by the smaller the quotient is 4 with a remander of 13. Find the two numbers
Answer: x = 81, y = 17
Step-by-step explanation:
x + y = 98
x/y = 4/13/y
x/y = 4y + 13/ y
x = 98 - y
(98 - y) / y = (4y+ 13) / y
Therefore
98 - y = 4y + 13
Collect like terms
-4y - y = 13 - 98
-5y = -85
Divide both sides by-5
y = 17
x = 98 - y
x = 98 - 17
x = 81
The two numbers x and y are 81 and 17 respectively.
What are the Quotients?Quotients are the number that is obtained by dividing one number by another number.
Dividend ÷ Divisor = Quotients
Given that the sum of two numbers is 98.
Let x and y be the two numbers
x + y = 98
Thus, the larger number is divided by the smaller quotient is 4 with a remainder of 13.
x/y = 4/13/y
x/y = 4y + 13/ y
x = 98 - y
(98 - y) / y = (4y+ 13) / y
Therefore,
98 - y = 4y + 13
Collect like terms;
-4y - y = 13 - 98
-5y = -85
Divide both sides by-5;
y = 17
x = 98 - y
x = 98 - 17
x = 81
Therefore, the two numbers x and y are 81 and 17 respectively.
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Please help me solve this problem ASAP!
Answer:
angles
Step-by-step explanation:
the angles of these triangles are same
z is equivalent to p
w is equivalent to h
x is equivalent to r
