Answer:
rtetrt343444
Step-by-step explanation:
rewrew
Mrs. Lin needs a total of [tex]6 \frac{13}{24} \text{ yards}[/tex] yards of fabric for all the costumes.
To find out how much fabric Mrs. Lin needs for all the costumes, we need to calculate the total yardage required for each type of costume and then sum them up.
Given:
- Bear costume requires 2 1/4 yards.
- Lion costume requires 1 2/3 yards.
- Zebra costume requires 2 5/8 yards.
Let's calculate the total yardage required for each type of costume:
1. Bear costume:
[tex]\[ \text{Yardage for bear} = 2 \frac{1}{4} \text{ yards} \][/tex]
2. Lion costume:
[tex]\[ \text{Yardage for lion} = 1 \frac{2}{3} \text{ yards} \][/tex]
3. Zebra costume:
[tex]\[ \text{Yardage for zebra} = 2 \frac{5}{8} \text{ yards} \][/tex]
Now, let's convert all these mixed numbers into improper fractions:
1. Bear costume:
[tex]\[ \text{Yardage for bear} = 2 + \frac{1}{4} = \frac{8}{4} + \frac{1}{4} = \frac{9}{4} \text{ yards} \][/tex]
2. Lion costume:
[tex]\[ \text{Yardage for lion} = 1 + \frac{2}{3} = \frac{3}{3} + \frac{2}{3} = \frac{5}{3} \text{ yards} \][/tex]
3. Zebra costume:
[tex]\[ \text{Yardage for zebra} = 2 + \frac{5}{8} = \frac{16}{8} + \frac{5}{8} = \frac{21}{8} \text{ yards} \][/tex]
Now, let's sum up the yardages for all the costumes:
[tex]\[ \text{Total yardage} = \text{Yardage for bear} + \text{Yardage for lion} + \text{Yardage for zebra} \][/tex]
[tex]\[ \text{Total yardage} = \frac{9}{4} + \frac{5}{3} + \frac{21}{8} \text{ yards} \][/tex]
To add these fractions, we need to find a common denominator, which is 24:
[tex]\[ \text{Total yardage} = \frac{9 \times 6}{4 \times 6} + \frac{5 \times 8}{3 \times 8} + \frac{21 \times 3}{8 \times 3} \][/tex]
[tex]\[ \text{Total yardage} = \frac{54}{24} + \frac{40}{24} + \frac{63}{24} \][/tex]
Now, let's add the fractions:
[tex]\[ \text{Total yardage} = \frac{54 + 40 + 63}{24} \][/tex]
[tex]\[ \text{Total yardage} = \frac{157}{24} \][/tex]
Now, let's convert the improper fraction to a mixed number:
[tex]\[ \text{Total yardage} = 6 \frac{13}{24} \text{ yards} \][/tex]
So, Mrs. Lin needs a total of [tex]6 \frac{13}{24} \text{ yards}[/tex] yards of fabric for all the costumes.
complete question given below:
Mrs. Lin is sewing costumes for her grandchildren. She is making three lion costumes, one zebra costume, and two bear costumes. Fabric costs $7.49 per yard. How much fabric does Mrs. Lin need?
Bear= 2 1/4 yards
Lion= 1 2/3 yards
Zebra= 2 5/8 yards
80Points!
will give brainliest, ratings, etc
and after you answer this
if you could be so kind as to aswer my last question that would mean the world!
its has 30points on it!
The information given represents lengths of sides of a right triangle with c the hypotenuse.
Find the correct missing length to the nearest hundredth.
a = ?, b = 11, c = 17
can you please help me find the length of A?
Using Pythagorean theorem
[tex]\\ \sf\longmapsto P^2=H^2-B^2[/tex]
[tex]\\ \sf\longmapsto P^2=17^2-11^2[/tex]
[tex]\\ \sf\longmapsto P^2=289-121[/tex]
[tex]\\ \sf\longmapsto P^2=168[/tex]
[tex]\\ \sf\longmapsto P\approx 13[/tex]
Answer:
H=17B=11P=?Using Pythagorean theorem
Step-by-step explanation:
Urgent please help me!!!!
1) Left 2, down 5
2) Right 2, down 9
3) left, up 9
4) left 2 , down 5
Answer:
right 2, down 9
Step-by-step explanation:
move point A' two places to the right, and down nine to get to point A
theirs a picture at the top.
17. simplify
18. simplify
Answer:
C, B
Step-by-step explanation:
4x * 1 = 4x
4x * y = 4xy
4x + 4xy
Next
5 * x = 5x
5 * 3 = 15
5x + 15
Answer:
17(c)
18(b)
Step-by-step explanation:
17) (4x*1)+(4x*y)
4x+4xy
18) (x+3)5
(5*x)+(3*5)
5x+15
X 1 2 3 4 5 Y 1 3 5 7 9
Given the table, write an expression for the function, and describe what it does.
A) y= 2x. Y is double x.
B) y= 3x. Y is triple x.
C) y= 2x + 1. Y is twice x plus 1.
D) y= 2x -1. Y is twice x minus 1.
The function that correctly represents the pattern in the given table is y = 2x + 1, which means that, for each input X, you multiply by 2 and then add 1 to obtain output Y.
Explanation:The table of values given indicates a linear relationship between X and Y. If we look closely, we can see that for every unit increase in X, Y increases by 2 units. This pattern indicates that the function is characterized by the equation y = 2x + 1.
So, the correct answer is C) y = 2x + 1. This means that Y is twice the value of X plus 1. In simpler terms, we multiply the input variable (X) by 2 and then add 1 to determine the output (Y).
None of the other given function expressions correctly describe the pattern observed in the table.
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The expression for the function is y=2x. Y is double x.
Explanation:The function that relates the values of X and Y in the given table is y = 2x. This means that the value of Y is twice the value of X. For example, when X=3, Y=6 because 2*3=6. This pattern holds true for all the other values in the table.
Option A) y= 2x is the correct expression for this function as it shows that Y is double X. Therefore, the answer to this question is A) y= 2x. Y is double x.
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For what values of x and y must ABCD be a parallelogram?
The values of x and y needs to be 39 degrees and 21 degrees respectively to show that ABCD is a parallelogram.
We know that opposite angles of a parallelogram are equal and we are asked to find the value of x and y.
We are given that angle A = 3y angle B = 3x , angle C = y + 78 and angle D = 4x - 21
Now as we know that the opposite angles are going to be equal.So,
angle A = angle C
3y = y + 78
2y = 78
y = 39
So, the value of y is going to be 39 degrees.
Similarly, we can also find the value of x.
angle B = angle D
3x = 4x - 21
-x = -21
x = 21
So, the value of x is going to be 21 degrees.
Hence, the values of x and y needs to be 39 degrees and 21 degrees respectively to show that ABCD is a parallelogram.
Describe the relationship between the 5 in 11.205 and the 5 in 5.32. Write 2 different statements using "times the value.
Final answer:
The 5 in 11.205 is in the thousandths place and represents 0.005, while the 5 in 5.32 is in the units place, representing 5. The 5 in 5.32 is one thousand times the value of the 5 in 11.205, and vice versa.
Explanation:
The relationship between the 5 in 11.205 and the 5 in 5.32 can be described in terms of their place values. In the number 11.205, the 5 is in the thousandths place, which means it represents 5 thousandths or 0.005. In the number 5.32, the 5 is in the units place, which means it represents 5 ones or simply 5.
To compare their values, we can say that the 5 in 5.32 is one thousand times the value of the 5 in 11.205 because 5 divided by 0.005 equals 1000. Alternatively, we could say the 5 in 11.205 is one thousandth the value of the 5 in 5.32.
These comparisons are based on the understanding of place value in decimal numbers, where each position to the left or right of the decimal point represents a power of 10. Therefore, the value of a digit is determined by its position relative to the decimal point.
the perimeter of a equilateral triangle is 63 inches. If the length of each side is (4x+3),find the value of x
Answer:
Step-by-step explanation:
each side is 21 inches long.
4x+3=21
subtract 3 from both sides
4x=18
x=4.5
Answer:
4.5
Step-by-step explanation:
Since its an equilateral triangle, all the sides are equal.
SO, you can set up the equation:
3 ( 4x + 3 ) = 63
Start by disributing
12x + 9 =63
Subtract 9 from each side to isolate the variable
12x = 54
Divide both sides by 12
x = 4.5
What is the cube root of 27x18?
Final answer:
The cube root of 27x18 is 3x6, determined by taking the cube root of each term, with 27 yielding 3 and the x18 exponent reduced by a factor of 3 to x6.
Explanation:
The question posed is, "What is the cube root of 27x18?" To solve this, we need to break down the expression and compute the cube root of both terms separately. The cube root of 27 is 3 because 33 = 27. For the variable x raised to the 18th power, taking the cube root means we divide the exponent by 3, which gives us x6. Therefore, the cube root of 27x18 is 3x6.
Explicit equation for the nth term of the geometric sequence 3584,896,224,
The explicit equation for the nth term of the geometric sequence 3584, 896, 224 is:
[tex]a_n=3584(0.25)^{n-1}\\\\\text{Where } n\geq 1 \text{ ,n = 1, 2, 3, 4, .........}[/tex]
Solution:
Given that we have to find the explicit equation for nth term of geometric sequence
Given sequence is:
3584, 896, 224
A geometric sequence has a common ratio
Let us find the common ratio. Divide each term by the previous term.
[tex]r=\frac{896}{3584} = 0.25\\\\r = \frac{224}{896} = 0.25[/tex]
Thus the common ratio is 0.25
The formula for nth term of geometric sequence is given as:
[tex]a_n=ar^{n-1}[/tex]
Where,
[tex]a_n[/tex] is the nth term of sequence
a is the first term of sequence
r is the common ratio
Here in given sequence 3584, 896, 224
first term = a = 3584
common ratio = r = 0.25
Therefore,
[tex]a_n=3584(0.25)^{n-1}[/tex]
[tex]\text{Where } n\geq 1 \text{ ,n = 1, 2, 3, 4, .........}[/tex]
"n" is a natural positive number greater than or equal to 1
Thus the explicit equation to find nth term is found
You put $400 in an account. The account earns $18.00 simple interest in 9 months. What is the annual interest rate
Answer:$18.00
Step-by-step explanation:
What is mZS?
Enter your answer in the box
Next
m∠S = 45°
Solution:
Given ∠R = 3x°, ∠S = 2x°, ∠T = 3x°.
Sum of the angles of a triangle = 180°
⇒ m∠R + m∠T + m∠S = 180°
⇒ 3x° + 3x° + 2x° = 180°
Adding all the angles.
⇒ 8x° = 180°
Divide both sides of the equation by 8, we get
⇒ x° = 22.5°
Substitute x = 22.5° in m∠S.
⇒ m∠S = 2 × 22.5°
⇒ m∠S = 45°
Hence, m∠S = 45°.
12.) Western High School is looking for someone to
design and make their senior t-shirt. Stylish Shirts
charges $12 for each shirt and a design fee of $40.
Decatur Clothing sells their shirts for $7 with an $85
design fee. Write and solve a system of to find how
many shirts it will take for the 2 stores to cost the
same.
Answer:
9
Step-by-step explanation:
12x+40 = 7x + 85
12x - 7x = 85 - 40
5x = 45
x=9
so designing 9 shirts will take for the 2 stores to cost the
same.
Final answer:
To find the number of shirts, set up a system of equations and solve for the cost of each store. It will take 9 shirts for the two stores to cost the same.
Explanation:
To find the number of shirts it will take for the two stores to cost the same, we need to set up a system of equations. Let's assume the number of shirts needed is 'x'.
For Stylish Shirts: Total Cost = (Price per shirt * Number of shirts) + Design Fee = ($12 * x) + $40.
For Decatur Clothing: Total Cost = (Price per shirt * Number of shirts) + Design Fee = ($7 * x) + $85.
Setting the two total costs equal to each other, we have: ($12 * x) + $40 = ($7 * x) + $85. Solving this equation gives us x = 9. Therefore, it will take 9 shirts for the two stores to cost the same.
Subtract 5x+10 from 2x-6 please answer
Answer:
-3x-16
Step-by-step explanation:
(2x-6)-(5x+10)
2x-6-5x-10
2x-5x-6-10
-3x-6-10
-3x-16
What is 7,014,999,999 rounded to the nearest hundred thousand?
I need the help in fast
Answer:
Step-by-step explanation:
7,014,999,999 rounded to the nearest hundred thousand
7,015,000,000 <===
Martell wants to use is calculator to find the value of X when Y equals 22 in the equation Y equals 100 - 3X. Explain how he can use each table or graph to find the value Of X when 100 -3X equals 22.
WILL MARK AS BRAINLIEST
Answer:
1246 sq cm
Step-by-step explanation:
you can break this shape into two rectangles, find the area of each, and then add them together
Answer:
First we need to find the area of the whole shape which would be the length times width
Length= 39
Width= 34
39*34=1,326
This is the area if the shape were shaded in
Now we want to find the area of the missing section which is again length times width
Length=10
Width=8
10*8=80
This is the area of the missing section, so to find the area of the shape you would take your total area minus your missing section area
1,326-80= 1,246
Your final answer would be 1,246 sq. cm
Hope this helps ;)
Step-by-step explanation:
Write the inequality for the graph.
Answer:
[tex]p\leq 4[/tex]
Step-by-step explanation:
we know that
The solution of the graph shows the interval (-∞,4]
All real numbers less than or equal to 4
In a number line the shaded area is at left of x=4 (closed circle)
The number 4 is included in the solution
therefore
the inequality that represent the graph is
[tex]p\leq 4[/tex]
An office building has 23 offices. The floor area of each office is 305 square feet. Which shows the equation you can use to find the floor area, , of all the offices and the value of
n?
A.23 + 305 = n, n = 810 square feet
B. 23 x 305 = n, n = 1,405 square feet
C.23 x 305 = n, n = 1,425 square feet
D.23 x 303 = n, n = 7,015 square feet
Answer: 23x305 = n , n = 7,015 square feet
Step-by-step explanation:
1 office = 305 square feet
If we want to calculate the area of 23 offices, we just need to multiply the area of one office, by the number of total offices.
That's 305 square feet * 23 = 7015 square feet
The correct answer is 23x305 = n , n = 7,015 square feet
Hope I helped!
twice the quantity x plus 2 is equal to 3 less than x
What is the easiest was to do algebra
Answer:
Step-by-step explanation:
Provide problems and we're here to help.
Answer:
write the problem, decide whether you use add or sub.,add or sub. the constant on both sides, eliminate the coefficients of the variable, last solve for the variable.
Step-by-step explanation:
the 2619 women students on a campus constitute 54% of the entire student body. what is the total enrollment of the college?
Answer:
4850 students
Step-by-step explanation:
if 2619 women make up 54% of the entire student body, then we know that 0.54x=2619, since 54%=0.54 and we can call x the entire student body. solve:
0.54x=2619
÷0.54 ÷0.54
x=4850
henceforth, the total enrollment is 4850 students.
hope this is helpful!
Answer:
4850 students
Step-by-step explanation:
Let b = total enrollment.
Then 54% of b = 2619. Find b by dividing both sides of
0.54b = 2619 by 0.54:
b = 4850
The total enrollment is 4850.
A gardener is planting two types of trees:
Type A is 7 feet tall and grows at a rate of 2 inches per year.
Type B is 5 feet tall and grows at a rate of 6 inches per year.
Algebraically determine exactly how many years it will take for these trees to be the same height.
It will take 6 years for the trees to be same height.
Step-by-step explanation:
Given,
Initial height of Type A = 7 feet = 7*12 = 84 inches
Growth rate = 2 inches per year
Let,
x be the number of years
Total height = T
T = 2x+84 Eqn 1
Initial height of Type B = 5 feet = 5*12 = 60 inches
Growth rate = 6 inches per year
T = 6x+60 Eqn 2
For same height;
Eqn 1 = Eqn 2
[tex]2x+84=6x+60\\84-60=6x-2x\\24=4x\\4x=24[/tex]
Dividing both sides by 4
[tex]\frac{4x}{4}=\frac{24}{4}\\x=6[/tex]
It will take 6 years for the trees to be same height.
Keywords: linear equation, division
Learn more about division at:
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Help trigonometry (angles of evaluation and depression)
Answer:
80.4
Step-by-step explanation:
To remember all of the ratios for trigonometry, using the acronym "SohCahToa". You always divide two sides for trig. ratios.
'S' is sine or sin for short.
'C' is cosine or cos for short.
'T' is tangent, or tan for short.
'h' means hypotenuse, the longest side in the triangle.
'o' means the side that's opposite, or not touching the angle of reference.
'a' means the side that's adjacent, or touching the angle of reference.
The angle of reference means the angle you are talking about (use the symbol θ to mean angle). In this question, the angle of reference is 15°.
We have the adjacent side, 300, and we need to find the opposite side, x.
The trig. ratio that has the side adjacent and opposite is tangent or 'tan'.
tanθ = opposite / adjacent Trig. ratio for tangent
tan15° = x / 300 Substitute what we know. Isolate 'x'.
x = 300tan15° This means 300 times tan15°. Use a calculator.
x = 80.3847..... Exact decimal answer on your calculator
x ≈ 80.4 Answer rounded to nearest tenth (first decimal)
When rounding, you decide to round up or down using the decimal place after where you will cut off.
In 80.3847..... '8' tells us to round up because it is 5 or greater.
If the second decimal place was 4 or less, we round down (the answer would be 80.3).
Simplify 10x-5y+2x-3y
Answer:
12x-8y
Step-by-step explanation:
10x+2x=12x
-5y-3y=-8y
Answer: 12x-8y
Step-by-step explanation: add like terms 10x and 2x, and -3-5= 8 so 8y
How can I show my work for: 120% of what number is 50
120% is "x" is 50, meaning "x" must be the 100%.
if 50 is 120% of "x", and "x" is the 100%, what is "x"?
[tex]\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 50&120 \end{array}\implies \cfrac{x}{50}=\cfrac{100}{120}\implies \cfrac{x}{50}=\cfrac{5}{6}\implies 6x=250 \\\\\\ x = \cfrac{250}{6}\implies x = \cfrac{125}{3}\implies x = 41\frac{2}{3}\implies x = 41.\overline{6}[/tex]
What is the least number of years until the year rounded to the nearest ten is 2060
Answer:
35
Step-by-step explanation:
Final answer:
To determine the least number of years from 2023 until the year rounds to 2060, subtract 2023 from 2055, the first year that rounds to 2060, resulting in 32 years.
Explanation:
The question is asking for the least number of years it will take for the current year to be rounded to nearest ten to become 2060. To answer this, we consider the year closest to 2060 that when rounded will result in exactly 2060. We are considering that the current year is 2023, optimizing the rounding rule of being closer to or equal to the next multiple of ten (2055-2064 would round to 2060). Following this logic, the first year that rounds to 2060 is 2055, therefore the least number of years from 2023 until we reach a year that rounds to 2060 is 2055 minus 2023, which is 32 years.
10=z+6
How to get answer for integers
Answer:
Step-by-step explanation:
10=z+6
subtract 6 from both sides
4=z
z=4
Answer:
The answer is 4
Step-by-step explanation:
To get the answer for this equation, take 6 and subtract from both sides.. meaning 6-6 and they will cancel and then subtract 6 from 10 and that will give you your answer of 4.
The ellipse with x-intercepts (2, 0) and (-2, 0); y-intercepts (0, 4) and (0, -4).
Answer:
[tex]\dfrac{x^2}{4}+\dfrac{y^2}{16}=1[/tex]
Step-by-step explanation:
If the ellipse has its x-intercepts at points (2, 0) and (-2, 0) and y-intercepts at points (0, 4) and (0, -4), then its symmetric across the y-axis and across the x-axis.
Moreover,
[tex]a=2\\ \\b=4[/tex]
The equation of such ellipse is
[tex]\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1[/tex]
Hence, the equation of the ellipse is
[tex]\dfrac{x^2}{2^2}+\dfrac{y^2}{4^2}=1\\ \\ \\\dfrac{x^2}{4}+\dfrac{y^2}{16}=1[/tex]
what is one half of 9
Answer:
Step-by-step explanation:
1/2 of 9
" of " in math means multiply
1/2 * 9 = 9/2 or 4 1/2 or 4.5
k(2) = 6x + 100
k(-5) =
Answer:
70
Step-by-step explanation:
To evaluate k( -5), substitute x = - 5 into k(x)
k(−5)=(6×-5)+100=−30+100=70