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Explanation:
The ratio of yellow to red is 3:5. This could mean we have any of the following situations (pick one):
3 yellow, 5 red6 yellow, 10 red9 yellow, 15 redand so on. In general, we would have 3x yellow blocks and 5x red blocks. The ratio 3x:5x reduces to 3:5 when dividing both parts by x. The x is some positive whole number. The order is important because yellow must be listed first, then red second.
The same idea applies to the other ratio 7:2, which is the blue to red. In that case, we could have...
7 blue, 2 red14 blue, 4 red21 blue, 6 red28 blue, 8 red35 blue, 10 red42 blue, 12 redand so on. Notice that items in bold (in each list) have "10 red" as part of it. This is directly from the fact we multiply the 5 and 2 to get 5*2 = 10.
So we can connect the two ratios to have: 6 yellow, 10 red, 35 blue.
The ratio of yellow to blue is 6:35. This is the final answer. We cannot reduce this ratio any further due to 6 and 35 having no common factors other than 1. It's the same as saying the fraction 6/35 can't be reduced further.
What are the square roots of 100?
Answer:
10 and -10.
Step-by-step explanation:
10 * 10 = 100
-10 * -10 = 100.
Use formulas to find area
Answer:
120.08
Step-by-step explanation:
15.8 x 7.6
-> 120.08 [tex]m^2\\[/tex]
Using the information found in Part A, which class could Mrs. Smith report had the more consistent performance on the unit test? Explain what this means in terms of the situation.
Julie started her own lawn mowing business to earn some extra money last
summer. She earned $2100 and had expenses of $669 (lawn mower, weed
eater, gas, etc.). She has no income to report on line 1a or line 1b of
schedule SE below. She also has a zero entry on line 29 of Form 1040. Use
this information to complete table entry 3 below. *
A carpenter is building a rectangular deck. The deck should have a width, f(x), to length, g(x), ratio of 2 to 3. The area of the deck is represented by the function h(x). Complete the table with the missing side lengths and areas of the deck.
Answer:
1. 6
2. 6
3. 10
4. 600
Step-by-step explanation:
edg :)
The complete table is given below.
x f(x) g(x) h(x)
1 2 3 6
2 4 6 24
5 10 15 150
10 20 30 600
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
A carpenter is building a rectangular deck. The deck should have a width, f(x), to length, g(x), and a ratio of 2 to 3. The area of the deck is represented by the function h(x).
The functions are given below.
f(x) = 2x
g(x) = 3x
h(x) = f(x) × g(x) = 6x²
Complete the table with the missing side lengths and areas of the deck.
x f(x) g(x) h(x)
1 2 3 6
2 4 6 24
5 10 15 150
10 20 30 600
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Which of the inequalities below has 3.5 in its solution set?
a) 10x>44
b) 4x<12
c) 5x >16
d) 3x <10
Math Homework 7th Grade
Answer: C
Step-by-step explanation:
5 × 3.5 = 17.5 > 16 .
160% of what number 56?
Answer:
160% of 35 is 56.
Step-by-step explanation:
[tex]\frac{56}{y} :\frac{160}{100}[/tex]
y · 160 = 56 · 100
160y = 5600
160y ÷ 160 = 5600 ÷ 160
y = 35
Please answer for branliest
Can someone please help with these three?
Answer:
8
Step-by-step explanation:
ok so this is just the first one but i think you use a variable for what you are trying to find out, and well call this x and then u subtract the variable from the product of the rate and the amount, and once you have it, you multiply it but its own conjugate so then u use the binomial that you get to create a function, and you can graph it if you want, and u can use the apothem (the formula involves cos, so you might need a calculator) of the polygon created on your graph to find the domain, which you will then get the 4th root of, which is your answer. anyway, i believe this is what it is, but i may be wrong. hope this helps!
The Unit Circle
What is the period for the graph of y = cos(∅)? (Sketch a graph to help determine the answer)
a. 180°
b. 90°
c. 360°
d. 270°
Please select the best answer from the choices provided
Answer:
C. 360°
Step-by-step explanation:
I calculated it logically
Answer:
Answer is C) 360°
Step-by-step explanation:
A sixth grade class recorded the number of letters in each students first name. The results are shown in the dot plot. Which is the best representation of the center of this data set?
Answer:
the center of the data set is 7 so probably 7
7 is the best representation of the center of given data set.
The correct answer is an option (C).
What is center of data?"It is the middle of a distribution.""Mostly, The measures of the center of the data are the mean and the median."What is mean?"It is the average of the given numbers."
What is median?"I is the middle value of a sorted list of numbers."
For given question,
We have been given a dot plot of the number of letters in each students first name.
From the given dot plot,
We have data as 3, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6,6, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 9, 10, 10, 11, 11, 11
From above data,
the total number of students in the class are n = 30
We write 3, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6,6, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 9, 10, 10, 11, 11, 11 as 3, (4 × 2), (5 × 4), (6 × 7), (7 × 7), (8 × 3), 9, (10 × 2), (11 × 3)
So, the mean of the above data would be,
[tex]\Rightarrow \bar{X}=\frac{3+ (4\times 2)+(5\times 4)+(6\times 7)+(7\times 7)+(8\times 3)+9+(10\times 2)+(11\times 3)}{30}\\\\\Rightarrow \bar{X}=\frac{208}{30}\\\\\Rightarrow \bar{X}=6.93\\\\\Rightarrow \bar{X}\approx 7[/tex]
From above data we can observe that there are two numbers in middle of the data 6 and 7.
So, the median would be,
[tex]\Rightarrow M=\frac{6+7}{2}\\\\\Rightarrow M=6.5\\\\\Rightarrow M\approx 7[/tex]
Therefore, 7 is the best representation of the center of given data set.
The correct answer is an option (C).
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find the difference between 0.1 kg and 75g
Answer:
25 g
Step-by-step explanation:
0.1 kg can be written as 100 grams
& 75 g
while 1 kg is 1000 grams
so difference:-
(100- 75 ) grams
= 25 g
The difference between 0.1 kg and 75 g is 25 grams. To find the difference between 0.1 kg and 75g, you need to make sure both quantities have the same unit.
Since 1 kg is equal to 1000 g, you can convert 0.1 kg to grams:
0.1 kg = 0.1 * 1000 g = 100 g
Now, the two quantities are in the same unit:
0.1 kg - 75 g = 100 g - 75 g = 25 g
So, the difference between 0.1 kg and 75 g is 25 grams.
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Which equation in rectangular form describes the parametric equations x=2-3 cos t and y=1+4 sin t?
Answer:
The parametric equations represents an ellipse by the rectangular equation [tex]\frac{(x-2)^{2}}{9} + \frac{(y-1)^{2}}{16} = 1[/tex].
Step-by-step explanation:
We proceed to use the following trigonometric identity to derive an expression in rectangular form:
[tex]\cos^{2} t + \sin^{2} t = 1[/tex] (1)
Where:
[tex]\cos t = \frac{2-x}{3}[/tex] and [tex]\sin t = \frac{y-1}{4}[/tex]
Then, we expand the expression as follows:
[tex]\frac{(x-2)^{2}}{9} + \frac{(y-1)^{2}}{16} = 1[/tex] (2)
The parametric equations represents an ellipse by the rectangular equation [tex]\frac{(x-2)^{2}}{9} + \frac{(y-1)^{2}}{16} = 1[/tex].
what is the answer to 3(x-2)+15=-3(x-3)
i will give brainliest
Answer:
x = 0
Step-by-step explanation:
3(x - 2) + 15= -3(x - 3)
3x - 6 + 15 = -3x + 9
3x + 9 = -3x + 9
3x + 3x = 9 - 9
6x = 0
x = 0
struggling with homework!!
Answer:
40
Step-by-step explanation:
if 20% were Caesar and 20 divided by 5 is 4, then every four salads sold is five percent.
Are the two triangles similar? Explain your answer.
Answer:
No
Step-by-step explanation:
Two triangles are similar if their corresponding angles are congruent and the corresponding sides are in proportion They are the same shape, but not necessarily the same size
Triangle ABC 54 +68 + 58 = 180
Triangle EFG 68 +63 +49 = 180
In this case their corresponding angles are nor congruent
Find the area of the shaded region in the drawing round to the nearest tenth show all work
Answer:
The area of the shaded region is:
488 ft^2.Step-by-step explanation:
First, we're gonna find the area of the whole rectangle and next we can subtract the area of the triangles in the corners, we use the next formula:
Area of a rectangle = width * heigthAnd we replace the measurements in the picture (32 ft and 16 ft):
Area of a rectangle = 16 ft * 32 ftArea of a rectangle = 512 ft^2Now, we must calculate the area of a triangle, this can be made by this formula:
Area of a triangle = (base * height) / 2We can replace the values we have in the picture (4 ft and 6 ft), then:
Area of a triangle = (4 ft * 6 ft) / 2Area of a triangle = (24 ft^2)/ 2Area of a triangle = 12 ft^2As you can see in the picture, we have to subtract two triangles with the same measurements, by this reason, we multiply the area of the triangle by two and we'll obtain the area we must subtract:
Area to subtract = (12 ft^2) * 2Area to subtract = 24 ft^2At last, we take the area of the whole rectangle and subtract the area of the triangles:
Area of the shaded region = 512 ft^2 - 24 ft^2Area of the shaded region = 488 ft^2The area of the shaded region is 488 ft^2.
Eight eagle stamps and two raccoon stamps cost $2.80. Three eagle stamps and four raccoon stamps cost $2.35. Find the cost of each kind of stamp
Show work please
Answer:
Cost of each eagle stamp = $0.25
Cost of each racoon stamp = $0.4
Step-by-step explanation:
Given:
Cost of 8 eagle stamp and 2 racoon stamp = $2.80
Cost of 3 eagle stamp and 4 racoon stamp = $2.35
Find:
Cost of each stamp
Computation:
Assume;
Cost of each eagle stamp = e
Cost of each racoon stamp = r
So,
8e + 2r = 2.80........... Eq 1
3e + 4r = 2.35 ........... Eq 2
Eq 1 x 2
16e + 4r = 5.6 .........Eq3
Eq 3 - Eq 2
13e = 3.25
e = 0.25
Cost of each eagle stamp = $0.25
8e + 2r = 2.80
8(0.25) + 2r = 2.80
2 + 2r = 2.80
r = 0.4
Cost of each racoon stamp = $0.4
If there is a $50 profit on the large cabinets and a $30 profit on the small cabinets.
What number of large and small cabinets maximizes the objective function?
P = 50x + 30y
a) o large and 10 small
b) 8 large and small
c) 4 large and small
d) 4 large and 5 small
Answer: B
Step-by-step explanation: I hope I am good at math if not sorry
The combination of 8 large cabinets and 8 small cabinets maximizes the objective function, resulting in a value of 640. Option b is correct.
To maximize the objective function P = 50x + 30y, where x represents the number of large cabinets and y represents the number of small cabinets.
Need to determine the combination of x and y that results in the highest value for P.
For 0 large and 10 small:
P = 50(0) + 30(10)
= 0 + 300
= 300
For 8 large and 8 small:
P = 50(8) + 30(8)
= 400 + 240
= 640
For 4 large and 4 small:
P = 50(4) + 30(4)
= 200 + 120
= 320
For 4 large and 5 small:
P = 50(4) + 30(5)
= 200 + 150
= 350
Based on these calculations, 8 large cabinets and 8 small cabinets maximizes the objective function, resulting in a value of 640.
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Two parallel lines are cut by a transversal. What is the measure of <1?
A 80
В. 180
C. 100
D. 90
Answer:
C - 100
Step-by-step explanation:
9514 1404 393
Answer:
C. 100°
Step-by-step explanation:
Consecutive (same-side) exterior angles are supplementary.
∠1 = 180° -∠7 = 180° -80°
∠1 = 100°
You went out to dinner with your friends. You are going to leave an 18% tip; how much money should you leave if the bill is $36.00? Include the tip and the food cost. You will pay $
Zoe compares the price of a sweatshirt at two stores. At Store A, the sweatshirt costs $25. A friend told her that the sweatshirt costs 30% more at Store B.
Zoe wrote the expression 25+0.3(25) to find the price of the sweatshirt at Store B.
Which equivalent expression could she also use to find the price of the sweatshirt at Store B?
A) (1+0.3)25
B) (1−0.3)25
C) 1+0.3(25)
D) 25 + 0.3
Answer:
A) (1+0.3)25
Explanation:
Zoe's expression 25+0.3(25) equals to 32.5. So the only expression that equals to 32.5 is A) (1+0.3)25.
Darell made a scale drawing if a house its lot he used the scale 1 inch: 9 feet in the drawing the backyard is 5inches wide what is the width of the actual yard
Answer:
Your answer is 45
Step-by-step explanation:
Hope this helps! :D
The triangles below are similar. Find the length and round to the nearest tenth if necessary.
Answer:
x=48
Step-by-step explanation:
You start with the values of 4 and 16. Figure out how many times 4 goes into 16, which is 4. (4*4=16)
Now, since 4 is multiplied by itself to reach the value of 16, 12 will also be multiplied by 4 to give you the value of x.
In each of the following equations, find all the integers x satisfying the equation:
a. | x-20 | = 20
b. | x | + 7 = 16
c. | 15x | = | -15x |
Answer:
b
Step-by-step explanation:
CAN SOMEONE HELP ME PLEASE I NEED TO PASS
Answer:
Circumference is 18.84956
Area: 28.27433
Step-by-step explanation:
(Circumference) C=2πr=2·π·3≈ 18.84956
(Area) A=πr2=π·32≈ 28.27433
Which questions are statistical questions?
Answer:
whats the number of the class.
what's my height
how many students from each school in this city loves football
what is the height of each student inmy class
how many servings of fruit did I eat each day thus month
The table below represents which equation ?
Answer:
D
Step-by-step explanation:
Find the slope by picking two ordered pairs in the table and using the slope formula( y2-y1/x2-x1) to get the slope. The smallest numbers are easiest to work with. (-1,1), (0,-2)
-2-1/0-(-1) = 3/0+1 = -3/1 = m=-3
Use one of the points you used and plug in the x and y values of the ordered pair into the equation with the slope to find your b( y-intercept). (0,-2)
-2= -3(0) +b
-2= 0+b
b=-2
The final equation will only have your slope and b( y-intercept). That should be your answer. Hope this helps!
Final Equation: y=-3x-2
Evaluate the following expression if x= 2.14
3.35x + 25 - 2x
Answer:
The final answer is 27.889 (Feel free to round it)
Step-by-step explanation:
3.35 x 2.14 = 7.169
7.169 + 25 = 32.169
2 x 2.14 = 4.28
32.169 - 4.28 = 27.889
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
Combine like terms to create an equivalent expression: 6.7+3.5x+3.3-4.7x
Step-by-step explanation:
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