Answer:
angle 5 = angle 1
angle 6=angle 3
angle 2+angle 1+angle 3=180 degrees
angle 2+5+6=180 degrees
Last year at a certain high school, there were 50 boys on the honor roll and 120 girls on the honor roll. This year, the number of boys on the honor roll increased by 22% and the number of girls on the honor roll increased by 15%. By what percentage did the total number of students on the honor roll increase? Round your answer to the nearest tenth (if necessary).
Step-by-step explanation:
50 boys increased by 22%.
that means the number 50 is multiplied by 1.22 (= 1 + 0.22), as 22% = 0.22 :
50 × 1.22 = 61
the difference is 61 - 50 = 11
120 girls increased by 15% :
120 × 1.15 = 138
the difference is 138 - 120 = 18
the total number of additional honor roll students is
11 + 18 = 29
the total number of students was originally
50 + 120 = 170 = 100%
1% = 100%/100 = 170/100 = 1.7
how many % are the 29 difference ?
as many % as times that 1% fit into 29 :
29 / 1.7 = 17.05882353... ≈ 17.1%
so, the number of honor roll students increased by about 17.1%.
The cylindrical part of an arched thrall colum has a height of 325 and a diameter of 30 cm. Find the volume of the cylindrical part of a colum use 3.14 for pi and round youre answer to the nearest cubic centimeter if needed
A family has a hot dog cookout every year. The scatter plot shows the number of people who have attended each cookout and the number of hot dogs that were eaten each year.
This year 45 people are expected to attend the cookout. Based on the scatter plot, about how many hot dogs should the family prepare?
Answer:
52 hot dogs
Step-by-step explanation:
Step-by-step explanation:
See image.... line equation is approximately y = 1.2 x
when x = 45 people
y = 1.2 (45) = 54 hot dogs
WILL AWARD BRAINLIEST
What is the value of x?
Answer:
Option (3)
Step-by-step explanation:
By applying mean proportional theorem in the given triangle ABC,
\(\frac{\text{AD}}{\text{BD}}=\frac{\text{BD}}{\text{CD}}\)
AD × CD = BD²
(x)(4x) = (10)²
4x² = 10²
4x² = 100
x² = \(\frac{100}{4}\)
x = \(\sqrt{25}\)
x = 5
Therefore, measure of segment AD Or x = 5 units
Option (3) will be the answer.
x-12-23+7.5=1 ; what is the value of x?
Answer:
X=28.5
Step-by-step explanation:
Hope this helps!
Answer:
x=28.5
Step-by-step explanation:
x=1+12+23-7,5
x=13+23-7,5
x=36-7,5
x=28,5
:))
The image shown has two triangles sharing a vertex:
What is the measure of ∠WZX, and why?
A. y over 2, because Triangle UVW is congruent to triangle WXZ
B. y, because Triangle UVW is similar to triangle ZXW
C. y + 50 degrees, because Triangle UVW is similar to triangle ZXW
D.130 degrees − y, because Triangle UVW is congruent to triangle WXZ
Answer:
It is b
Step-by-step explanation:
helppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
E
Step-by-step explanation:
I guess po.........
........
Which expression is equivalent to twice b plus the sum of 2 and b?
Point G is plotted on the coordinate grid below. Plot the point of G' the reflection of G over the y-axis.
answer all the questions
1) Dalton's Desserts made a batch of fresh scones with 9/10 of a pound of butter and 1/5 of a pound of sugar. How much more butter than sugar was used?
2) At the dealership where she works, Denise fulfilled 1/2 of her quarterly sales goal in January and another 5/12 of her sales goal in February. What fraction of her quarterly sales goal had Denise reached by the end of February?
3) Under very specific instructions, a jeweler made one ring for the queen and one ring for the princess. The gem on the queen's ring weighed 1/2 of a carat and the stone on the princess's ring weighed 1/4 of a carat. How much heavier was the stone on the queen's ring than the stone on the princess's?
4) Under very specific instructions, a jeweler made one ring for the queen and one ring for the princess. The gem on the queen's ring weighed 1/2 of a carat and the stone on the princess's ring weighed 1/4 of a carat. How much heavier was the stone on the queen's ring than the stone on the princess's?
5) Starting from scratch, Jasper finished 5/12 of a reading assignment Monday afternoon and another 1/2 of it on Tuesday afternoon. What fraction of the reading assignment was done by Tuesday night?
Step-by-step explanation:
1) butter = 9/10
sugar = 1/5 =2/10
butter - sugar = 9/10 - 2/10 = 7/10 =0.7 = 70%
2)
Jan = 1/2
Feb = 5/12
total = 1/2 + 5/12 = 6/12 + 5/12 = 11/12
3)
queen's ring = 1/2 = 2/4
princess's ring = 1/4
queen's ring - princess's ring = 2/4 - 1/4 = 1/4
4)same with 3)
5)
mon = 5/12
tues = 1/2 = 6/12
total = 5/12 + 6/12 = 11/12
The tires on Jasmine's bicycle have a circumference of about 70.4 inches. Find the approximate diameter of each tire. Use 3.14 for π. Round to the nearest hundredth if necessary.
Answer:
The approximate diameter of each tire on Jasmine's bicycle can be calculated by dividing the circumference by π (pi). Using the given circumference of 70.4 inches and rounding π to 3.14, the calculation would be as follows:Diameter = Circumference / π
Diameter = 70.4 / 3.14
Diameter ≈ 22.45 inches (rounded to the nearest hundredth)So, the approximate diameter of each tire on Jasmine's bicycle is 22.45 inches.
The approximate diameter of each tire is 22.42 inches.
What is the diameter of the tires on Jasmine's bicycle?A circle is simply a closed 2-dimensional curved shape with no corners or edges.
The circumference of a circle is expressed mathematically as;
C = 2πr
or
C = πd
Where r is radius, d is diameter, and π is constant pi ( π = 3.14 )
Rearrange this formula to solve for the diameter:
C = πd
d = C/π
Substituting the given value of the circumference, we have:
d = 70.4/3.14
d = 22.42 in
Therefore, the diameter is 22.42 in.
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Please help look at the screenshot
i think its Grams (:
Use the mass and volume data to calculate the density of lead.
Mass of lead = 567.5 g
Volume of lead = 50.0cm3
What is the density of lead?
HELP PLS!
Answer:
11.35 g/cm3
Step-by-step explanation:
567.5/50 = 11.35 g/cm3
Choose the inequality that represents the following graph.
A) x > -9
B) x > -8
C) x > -7
D) x < -7
Choose more than one.
Answer:
D), A)
Step-by-step explanation:
The volume of a cone is 80π cubic units. The radius of this cone is tripled.
Eric says the new volume will be tripled. It is 240π cubic units.
Natalie says the new volume will be multiplied by 9. It is 720π cubic units.
Who is correct? Explain your reasoning.
Solve this please
-1+8v = 2+8v
An architect makes a model of a new house. The model shows a tile patio in the backyard. In the model, each tile has a length of 1/3 in and a width of 1/4 in The actual tiles have a length of 1/4 ft and a width of 3/16 ft. What is the ratio of the length of a tile in the model to the length of an actual tile? What is the ratio of the area of a tile in the model to the area of an actual tile? Use pencil and paper. Describe two ways to find each ratio.
Answer:
1:8 and 1:64
Step-by-step explanation:
(i think)
Answer:
The answer is...1/9 and then 1/81
Step-by-step explanation:
No prob
If a Car can drive 35 miles on 7 gallons of gas, how many miles can it travel on 2 gallons of gas (assuming miles per gallon is proportional)? Give and explain your answer.
Answer:
10 miles
Step-by-step explanation:
35/7 is 5 so therefore if you do 5+5+5+5+5+5+5 is 35
so that means 2 gallons which is 10
Whoever gets it right can have brainliest, but answer ASAP!
Answer:
\(beinggreat78~is~here~to~help.\)
The answer is 19 - 4, because of PEMDAS.
ParenthesesExponentsMultiplicationDivisionAdditionSubtractionAny expression wrapped in parentheses always comes first. Whether the sky is pink or blue, parentheses still come first.
What is the surface area of the triangular prism
Answer:
It should be 58 if my calculation is correct.
Step-by-step explanation:
Given f(x) = 3x+5 and g(x) = -8x-10
A) Find f(x)+g(x)
B) Find f(x)-g(x)
C) Find f(x)*g(x)
D) Find f(x)/g(x)
E) Determine which of the above are polynomials.
Answer:
Option A
Step-by-step explanation:
\(\frac{F (x)3x + 5 }{g (x) 2 (x +5) }\)
What is the surface area?
Use this formula- A= 1/2 bh
Answer:960 m is the right answera
Step-by-step explanation:
after doing it with the given formula the answer will be 960
suppose you are measuring peanut butter. begin with 1 1/2 c cold water in a container. after you add the peanut butter to the water, the water level reads 2 1/4 c.what is the volume of the peanut butter. explain.
Volume of the peanut butter is 3/4 c.
What is Subtraction?Subtraction can be done for any numbers or algebraic expressions. It is the process of taking out certain value from a given amount of number.
The process of subtraction can also be termed as finding difference.
Here is given the method to measure the peanut butter.
Volume of the cold water at the beginning = 1 1/2 c
= 3/2 c
Volume of the water after adding the peanut butter = 2 1/4 c
= 9/4 c
Volume of peanut butter = 9/4 c - 3/2 c
= (9/4) - (6/4)
= 3/4 c
Hence the volume of the peanut butter is 3/4 c.
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A pack of 4 chocolate bars costs £1. 20 what is the price per unit
PLEASE GIVE BRAINLIEST :)
Answer:
£0.30
Step-by-step explanation:
Price per unit = Total cost / Number of unitsIn this case, the total cost is £1.20, and the number of units is 4. So, we can substitute these values into the formula and get:Price per unit = £1.20 / 4 = £0.30Therefore, the price per unit (per chocolate bar) is £0.30.
Answer:
0.30 GBP per unit
Step-by-step explanation:
4 units cost 1.20 GBP
1.20 / 4 = 0.30 per unit
Write the equations of the following lines. The line is perpendicular to the graph of y=x+1 and passes through the point (1,1).
Part 2: Organize Your Data
Create a table of values using the age and number of U.S. states named in 60 seconds.
A graph is provided with the first five points plotted. Use your table to add your five data points to the scatter plot.
You may create a new graph from scratch, containing all 10 points, print the sample graph and add your data, or save the sample as an image and use a drawing program to add your data to the image. If you choose to print and draw by hand, you need to be able to scan and upload your work at the end of the project.
A coordinate plane is shown. The x axis is labeled age in years and the y axis is labeled number of U.S. States named in 60 seconds. Five data points are already plotted on the graph. These points are located at 5 comma 7, 15 comma 42, 25 comma 49, 35 comma 35, and 65 comma 50.
Draw a line of best fit through your scatter plot. Draw by hand on your printed graph or use a drawing program on your computer to create the line.
Part 3: Drawing Conclusions
How did you decide where to place your line of best fit? Describe your reasoning.
Based on your data, describe the relationship between age and the number of U.S. states a person can name in 60 seconds.
Do you see any areas in your data or points that could be considered clusters or outliers? Explain your answer in complete sentences.
For the school’s sports day, a group of students prepared, 21 1/2 liters of lemonade. At the end of the day, they had 258 liters left over. How many liters of lemonade were sold?
Answer:
83 (maybe)
Step-by-step explanation:
21 1/2 = (actual number) = 21,500
(left over = 258 ÷ 21,500 or 21,500 ÷ 258)
21,500 ÷ 258 = 83
So, the answer is 83.
I'm not entirely sure if my answer is correct.
Sorry if it's wrong.
Bye, have a great day/night.
An isosceles triangle in which the two equal sides, labeled a, are longer than the base, labeled b. This isosceles triangle has two sides of equal length, a, that are longer than the length of the base, b. The perimeter of the triangle is 15.7 centimeters. The equation 2a + b = 15.7 models this information. If one of the longer sides is 6.3 centimeters, which equation can be used to find the length of the base? 6.3+b=15.7 12.6+b=15.7 2a+6.3=15.7 2a+12.6=15.7
Hey There!!
The answer to this is: isosollese triangle has 2 equal sides that are longer than legnth of base
perimiter=15.7
equation is 2a+b=15.7
so if the longer side is 6.3, wat is legnth of base
we know that identical sides are bigger so 6.3 is one of the identical sides
2a means the 2 idneical sides
2(6.3)+b=15.7
12.6+b=15.7
subtract 12.6 from btohs ides
b=3.1
Thus, answer is base=3.1 cm
Hope It Helps!~
Answer:
answer B 12.6 +b =15.7
Step-by-step explanation:
hope this helps got it correct
Explain why the relationship is proportional.How does the equation represent constant of proportional?
Answer:When two things are proportional, they always change together at the same rate. This relationship can be represented by an equation like y = kx, where k is a constant number that shows how the two things are related.
Step-by-step explanation:
Two quantities are proportional if they always change at the same rate. For example, if you travel at a constant speed, your distance is proportional to your time. If you double your time, you double your distance.
We can represent proportional relationships with an equation of the form y = kx, where y is one quantity, x is the other quantity, and k is a constant of proportionality.
The constant of proportionality k represents the factor by which one quantity changes for a given change in the other quantity. For example, if your speed is 60 mph when you travel 10 miles, the constant of proportionality is 6, which means your speed increases by 6 mph for each additional mile you travel.
To find the constant of proportionality k, you can divide any value of y by the corresponding value of x. For example, if you know that when x = 2, y = 8, then k = y/x = 8/2 = 4.
The equation y = kx can be used to predict one quantity if you know the other quantity. For example, if you know that y = 24 when x = 6, you can use the equation to find k = y/x = 24/6 = 4, and then predict that y = kx = 4*8 = 32 when x = 8.
please write a function for the points (1/3,0) (-2 3/4,0) and (0,-5) and explain the steps.
thank you!
The function for the points are y = -15x - 5
How to determine the functionFrom the information given, we have that;
The points are;
(1/3,0) (-2 3/4,0) and (0,-5)
Using the point-slope form of a linear equation, we have;
y - y₁ = m(x - x₁)
Such that;
m is the slope of the liney - y₁ and (x - x₁) are the pointsUsing (1/3, 0) and (0, -5), we have that the slope is;
m = (0 - (-5))/0 -1/3)
expand the bracket
= 5 / (-1/3)
= -15
Now, take any of the given points and substitute the values
Using (1/3, 0), we get;
y - 0 = -15(x - 1/3).
y = -15x - 5.
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The function for the points solved by (1/3,0) (-2 3/4,0) and (0,-5) solved by point slope form is \(a=-15b-5\)
We have given the points:
(1/3,0) (-2 3/4,0) and (0,-5)
Using the formula of linear equation
\(a-\)\(a_{1}\)\(=x[b-b_{1}]\)
Where we will consider (1/3,0) = \(a-a_{1}\) and (0,-5) = \(b-b_{1}\)
that is 1/3 = \(a\), 0 = \(a_{1}\) and
0 = \(b\), -5 = \(b_{1}\)
\(x\) refers to the slope of line (take any variable)
Now for finding the value of \(x\),
\(x=a-a_{1}/b-b_{1}\)
inserting the values,
\(x=[0-[-5]]/[0-1/3]\\x= -15\)
Substitute the value of \(x\) in the equation
\(a-0=-15[b-1/3]\)
By simplifying the equation, we get
\(a=-15b-5\)
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