A model of a famous statue is [tex]3\frac{1}{2}[/tex]inches tall. The actual statue is [tex]5\frac{1}{4}[/tex] feet tall, the ratio of the height of the model to the height of the actual statue in simplest form is [tex]3\frac{1}{2}[/tex]:63
What is a ratio mean?A ratio in mathematics demonstrates how many times one number is present in another. For instance, if a dish of fruit contains eight oranges and six lemons, ratio of oranges to lemons is eight to six (that is, 8:6, which is equivalent to the ratio 4:3). The ratio of oranges to the overall amount of fruit is 8:14, and the ratio of the lemons to oranges is 6:8 (or 3:4). (or 4:7).
A ratio can have any number of quantities, such as counts of people or things or measurements of the length, weight, time, etc. Both the numbers must be positive in most situations.
You can specify a ratio by either writing out both of the integers that make it up, "a to b" or "a:b", or by giving just the value of their quotient a/b. Equal quotients correspond to the equal ratios.
A ratio can therefore be thought of as an ordered pair of integers, a fraction with first number in the numerator and the second in the denominator, or as the value represented by this fraction. Ratios of the counts that are expressed in terms of (non-zero) natural numbers are rational numbers and occasionally natural numbers as well. The ratio of the two numbers is a dimensionless number when they are measured using the same unit, which happens frequently. A rate is product of two quantities that are divided by their respective units of measurement.
Given,
A model of a famous statue is [tex]3\frac{1}{2}[/tex] inches tall.
The actual statue is [tex]5\frac{1}{4}[/tex] feet tall
1 feet = 12 inches
21/4 ft = 12*21/4 inches = 63 inches
Therefore the ratio is
[tex]3\frac{1}{2}[/tex]:63
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pls help my mom is mad at me Tyler was making a meal for his family. For every 3/4 pound of beef, the recipe calls for 9/8 cups of broccoli. How many cups of broccoli would be needed for a pound of beef?
Group of answer choices
1 and ½ cup of broccoli per beef
1/2 cup of broccoli per beef
2/3 pound of broccoli per beef
5/4 cup of broccoli per beef
Answer:
1 1/2
Step-by-step explanation:
for divide 3 for 9/8 and 3/4 so 9/8 divide 3 so 3/8
So there is 3/8 for each 1/4. Then time 4 so one pound is 12/8 and you simplify your answer is 3/2 or 1 1/2
Pls give brainliest
The graph of the function p(x)=x^3+x^2+4x+4 is shown below
Find all real and complex roots of the function. The Zeros are:
List the zeros as complex numbers. Separate answers by commas as needed.
Answer:
1 ; -2·i ; 2·i
Because x = -1 is a real root, you can divide
(x^3 + x^2 + 4·x + 4)/(x + 1) = x^2 + 4
Roots of x^2 + 4 are
x^2 + 4 = 0
x^2 = -4
x = ± 2·i
All real and complex roots are
1 ; -2·i ; 2·i
Question 6(Multiple Choice Worth 2 points)
(Multiplying and Dividing with Scientific Notation MC)
How many times larger is 8 x 105 than 4 x 10³?
2,000
200
20
2.0
8 × [tex]10^5[/tex] is 200 times greater than 4 × [tex]10^3[/tex] as according to multiplying and dividing as per the scientific notation of multiplication and division.
What is scientific notation?A kind of representation of number which is some power of 1/10 can also be expressed in as easily in scientific notation.
1/10 = [tex]10^{-1[/tex] (“ten to the minus one power”)
More generally, the expression “[tex]10^{-n[/tex]” (where n is a whole number) means (1/10) n. Thus
[tex]10^{-3[/tex] = [tex]\frac{1}{10}^{-3}[/tex]
= 1/1000
[tex]10^{-8[/tex] = [tex]\frac{1}{10}^{-8[/tex]
= 1/100,000,000
Scientific notation was invented to help scientists (and science students) deal with very large and very small numbers, without getting lost in all the zeros.
Herein this question
8 × [tex]10^5[/tex] can also thus be written as 2 x 4 × [tex]10^5[/tex]. On dividing with 4 × [tex]10^3[/tex] we get 2 x [tex]10^2[/tex]. Thus, it is 2 x [tex]10^2[/tex] i.e., 200 times larger than 4× [tex]10^3[/tex].
The expression “10n”, where n can be stated as a whole number, simply means that “10 is raised to the nth power,” or in other words, a number that is got by using 10 as a factor n times.
You can also notice that the number of zeros that are present in the ordinary decimal expression is absolutely equal to the power to which thus 10 is raised.
If any kind of number is expressed in words, first we have to write it down as an ordinary decimal number and then we have to convert it. Thus, the value “ten million” becomes 10,000,000. There are a total of seven zeros, so in powers of ten notation ten million is written [tex]10^7[/tex].
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help me with math, its 8th grade 100 points look at attachment
Answer:
1)
The hypotenuse is the longest side of a triangle. It is ALWAYS the one across from the right angle (depicted as the box in the corner at 90 degrees). Therefore the 2 sides that intersect the 90-degree angle are "leg" and "leg" and the longest side is the"hypotenuse"
2)
The Pythagorean theorem states: [tex]a^{2} + b^{2} = c^{2}[/tex] where a and b are sides and c is the hypotenuse.
[tex]a^{2} + b^{2} = c^{2} \\8^{2} + 6^{2} = c^{2} \\64 + 36 = c^{2} \\100 = c^{2} \\\sqrt{100} = c\\10 = c[/tex]
For your purposes, a and b do not matter which number you choose as long as you make sure that they are sides and not the hypotenuse.
3)
The Pythagorean theorem states: [tex]a^{2} + b^{2} = c^{2}[/tex] where a and b are sides and c is the hypotenuse.
[tex]a^{2} + b^{2} = c^{2} \\4^{2} + 7^{2} = c^{2} \\16 + 49= c^{2} \\65 = c^{2} \\\sqrt{65} = c\\8.0622 = c[/tex]
Hope that helps!
Tom walked a total of 15 kilometers by making 5 trips to school. Later on, he walked 33
kilometers during 11 trips. How many kilometers does Tom walk per trip?
how do i multiply this and simplify (2x+6)^2
Answer:4x^2+24x+36
Step-by-step explanation:
when you have it squared it turns into (2x+6) (2x+6) then you distribute it which gives you 4x^2+12x +12x+36 when you simplify that you et 4x^2+24x+36
Write the ratio 9:4 in the form n: 1
The ratio 9:4 in the form n:1 is 2.25:1.
The given ratio is 9:4.
What is the ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
We need to write the given ratio in the form n:1
Divide the given ratio by 4
9/4 : 4/4
⇒ 2.25:1
Therefore, the ratio 9:4 in the form n:1 is 2.25:1.
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-4 + (-5) =
1 + (-4) =
Answer:
-9,-3
Step-by-step explanation:
-4+-5 = -9
1+-4 = -3
Think about a number line to help you
Answer: -4 + (-5) = -9
1 + (-4) = -3
Step-by-step explanation: Subtract -4 and -5 and u get -9. Subtract 4 and 1 to get -3
Drag each statement to show whether it is true, based on the graph.
The price per one pound of almonds equal $2.20/0.65 lb
0.65 pounds of almonds cost $2.20
Verify each case
case 1) The price per one pound of almonds equal $2.20/0.65 lb
The statement is true
To find the price per one pound calculate the unit rate
So,
$2.20/0.65 lb=$3.38 per one pound
case 2) 2.2 pounds of almonds cost $0.65
The statement is not True
The correct is 0.65 pounds of almonds cost $2.2
case 3) Each bag of almonds weighs 2.2 pounds
Cannot be determined
In the problem there is no information about how much each bag of almonds weighs
case 4) 0.65 pounds of almonds cost $2.20
The statement is True
The point (0.65,2.20) lie to the line of the the graph.
To know more about Drag each statement to show whether it is true, based on the graph.
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Two straight lengths of wire are placed on the ground, forming vertical angles. If the measure of one of the angles formed is 72degrees, what are the measures of the other three angles? Explain your answer. (15 points and brainliest)
72, 108, and 108 are the other three angles formed by the two straight lengths of wire.
What is termed as the vertical angles?When two lines intersect, the two angles that really are opposite each other are referred to as vertical angles. Vertical angles are so named not because they are oriented vertically, but because they share a same vertex, this same point of intersection between the two lines.For the given question.
Two straight lengths of wire are put on the ground, to form vertical angles.
Because vertical angles have always been congruent, 72 is the vertical angle to 72.
Because the line is straight, the answer is 180.
180 - 73 equal 108. (supplement angles)
Because they are both vertical angles, there are two 180s.
Thus, the three angles formed are 72, 180 and 180 degrees.
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Betrys is making a vegetable stew for 8 people
Answer:
150 gram is the word
Watch help video
Aisha went shopping for a new pair of sneakers. The listed price of the pair of
sneakers was $43, but the price with tax came to $44.29. Find the percent sales tax.
The percent sales tax of the purchase is 3 %.
How to find percent sales tax?A sales tax is a consumption tax imposed by the government on the sale of goods and services.
She went shopping for a new pair of sneakers.
The listed price of the pair of sneakers was $43, but the price with tax came to $44.29.
Therefore, the percent sales tax can be found as follows:
sales tax = 44.29 - 43
sales tax = $1.29
Therefore,
percent sale tax = sale tax / cost with tax × 100
percent sale tax = 1.29 / 43 × 100
percent sale tax = 129 / 43
Therefore,
percent sale tax = 3%
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Question 8 (1 point)
Identify the slope as POSITIVE, NEGATIVE, ZERO, OR UNDEFINED.
Answer:
Step-by-step explanation:
i think its undefined
Help pleaseeeeee (ignore the part that says explain math mistake)
Check the picture below.
Here is an inequality: 7x+6<3x+2
Select all values that are solutions
x=1
x=0
x=-1
x=-2
x=-8
Answer:
x < -1
Step-by-step explanation:
7x + 6 < 3x + 2
7x - 3x + 6 < 2
7x - 3x < 2 - 6
4x < -4
x < -4 / 4
x < -1
Mr. Helmer had a wooden board 85 inches long. He cut off a piece 9 inches long. How long was the board after the cut?
Answer: 76 Mr Helmer had 76 inches left.
Step-by-step explanation: All you do is you subtract 9 from 85.
Or 85-9=X
Greta is opening a savings account. She starts with $100 and plans to add $50 each week. How do you write an equation she can use to calculate the amount of money she have after any number of weeks. How much money will she have after 1 year?- what is the unit rate of change for this situation
Answer:
100+50n
n stands for the number of weeks
There are about 52 weeks in a year, so
100+50(52) = 2700
Greta would have $2700 after 1 year
4) A group entering a zoo purchased 33 admission tickets for a total of $139.50. Adult tickets (x) cost $7.50 and
tickets for children (y) cost $3.50. How many of each type of ticket were purchased?
/5 points
The number or children tickets are 24 and adults tickets are 9.
How to illustrate the information?Adult tickets (x) cost $7.50 and tickets for children (y) cost $3.50. The equation will be:
7.5x + 3.5y = 139.5
There are 33 tickets. This will be:
x + y = 33
x = 33 - y.
Recall 7.5x + 3.5y = 139.5
Substitute for x.
7.5(33 - y) + 3.5y = 139.5
247.5 - 7.5y + 3.5y = 139.5
-4.5y = 139.5 - 247.5
4.5y = 108
y = 108/4.5
y = 24
Number of children ticket = 24
Adult tickets = 33 - 24 = 9
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[tex]please \: help \: me \: i \: keep \: getting \: the \: wrong \: am \\ answer[/tex]
2. The populations of five cities in California are listed below. What is the combined population of San Diego and Fresno?
City | Population
______________________
Los Angeles | 3,928,864
______________________
San Diego. | 1,381,069
______________________
San Jose | 1,015,785
______________________
San Francisco| 852,469
______________________
Fresno | 515,986
Answer:
1,897,055
Step-by-step explanation:
1,381,069+515,986=1,897,055
Jose will spend at most $20 on gifts. So far, he has spent $12 . What are the possible additional amounts he will spend?
Answer:8 dollars
Step-by-step explanation:
20-12=
Find WI if IE = 3
EW and YG are medians of XYW
Based on the definition of the median and applying the centroid theorem, the length of WI is calculated as: 6 units.
What is the Median of a Triangle?The line that joins the vertex of a triangle to the midpoint of the side it is directly opposite is called the median of a triangle.
Medians intersect each other at a point inside the triangle that is called the centroid. Based on the centroid theorem, since J is the centroid of triangle XYW, then:
the length of IE is one-third of the length of segment EW (referring to the image given in the question that shows triangle XYW)
Thus, we have the equation that relates the length of the segments as shown below:
IE = 1/3(EW)
Given that:
IE = 3 units
Substitute the value of IE into the equation:
3 = 1/3(EW)
3(3) = EW
9 = EW
EW = 9 units
Therefore:
Length of WI = the length of EW - the length of IE
Substitute
Length of WI = 9 - 3
Length of WI = 6 units.
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In the figure shown at right, the area of the large rectangle is (5x)(8x+1) and the area of the small rectangle is (4x)(2x) which of the following expression represents the area of the shaded region?
Given:
Area of large rectangle = (8x + 1)(5x)
Area of small rectangle = (4x)(2x)
To find area of the shaded region, subtract the area of the small rectangle from the large rectangle.
We have:
Area of large rectangle =
[tex]\begin{gathered} (8x+1)(5x) \\ \\ =8x(5x)+1(5x) \\ \\ =40x^2+5x \end{gathered}[/tex]Area of small rectangle =
[tex]\begin{gathered} (4x)(2x) \\ \\ =8x^2 \end{gathered}[/tex]Area of shaded region =
[tex]\begin{gathered} (40x^2+5x)-(8x^2) \\ \\ 40x^2+5x-8x^2 \\ \\ \text{Combine like terms:} \\ 40x^2-8x^2+5x \\ \\ =32x^2+5x \end{gathered}[/tex]Therefore, the area of the shaded region is = 32x² + 5x
ANSWER:
[tex]32x^{2}+5x[/tex]72=6x
What is x equal to?
Answer:
12
Step-by-step explanation:
72:6=12
1x=12
hope ut help
3x³+28=220 thanks for the help!
the answer to tuis problem is x=4.
Enter the values for the highlighted variables that show how to subtract the rational expressions correctly: StartFraction 2 Over x squared minus 36 EndFraction minus StartFraction 1 Over x squared + 6 x EndFraction = StartFraction 2 Over (x + 6) (x minus 6) EndFraction minus StartFraction 1 Over x (x + a) EndFraction. = StartFraction b x Over (x + 6) (x minus 6) x EndFraction minus StartFraction x minus c Over (x + 6) (x minus 6) x EndFraction. = StartFraction d x minus x + e Over (x + 6) (x minus 6) x EndFraction. = StartFraction x + f Over (x + 6) (x minus 6) x EndFraction. = StartFraction g Over x (x minus 6) EndFraction
Answer:
6, 2, 6, 2, 6, 6, 1
Step-by-step explanation:
a = 6
b = 2
c = 6
d = 2
e = 6
f = 6
g = 1
Answer: 6, 2, 6, 2, 6, 6, 1
Step-by-step explanation:
What is the slope of the line that passes through the points (3, -3)(3,−3) and (18, -3)(18,−3)? Write your answer in simplest form.
Answer:
0 (its a straight line horizontal)
Step-by-step explanation:
-3+3=0
18-3=15
0/15 = 0
slope=0
Simplify the expressions:
a. (7x²+ 2) + (2x² +3) =
b. (5x + 2) + (8x +3) =
c. (5x)(8x +3) =
Answer:
a. (7x²+2) + (2x²+3)
= 9x² + 5
b. (5x + 2) + (8x + 3)
= 13x +5
c. (5x)(8x + 3)
= 40x² + 15x
Here is a linear equation: y = 2/3x + 1 Are (6, 5) and (9, 8) solutions to the equation? Explain or show your reasoning.
O LINEAR EQUATIONS
Finding the dimensions of a rectangle given its perimeter and a...
The length of a rectangle is three times its width.
If the perimeter of the rectangle is 64 yd, find its length and width.
length: yd
width: yd
X
Answer: width=8, length=24
Step-by-step explanation:
2(x+3x)=64
2x+6x=64
x=8
width (x)=8
length (3x)=24
perimeter=2(x+3x)=64
the figure is a rectangular pyramid the base is rectangle abcd and the four faces abe bce cde and ade b=meet at the vertex e the edges are ab bc cd ad ae be ce and de the vertices are abce and e
Answer:
here you go I guess
Step-by-step explanation: