Answer:
A = 50π cm²
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Area of a Circle: A = πr²
r is radiusStep-by-step explanation:
*Note: A semicircle is half a full circle.
Step 1: Define
Radius r = 10 cm
Step 2: Solve for A
Rewrite Area of Circle Formula: A = 0.5πr²Substitute in r [Area of Semicircle Formula]: A = 0.5π(10 cm)²[Area] Evaluate exponents: A = 0.5π(100 cm²)[Area] Multiply: A = 50π cm²Find g(x), where g(x) is the translation 3 units down of f(x) = x2.
Write your answer in the form a(x - h)? + k, where a, h, and k are integers.
i hate ixl
Answer:
g(x) = x² - 3
Step-by-step explanation:
When doing a, h, and k, there are different stanoints to each of the variables.
in this case, since we are shifting down, we use k
we are moving 3 units down so we subtract 3 with no parentheses
so g(x) = x² -3
The translating function is g(x) = ( x+ 3)².
What is Translation?In mathematics, a translation is the movement of a shape to the left or right and/or up or down. The translated shapes appear to have the same size as the original shape, and hence the shapes are congruent. They were simply relocated in one or more directions. There is no change in the shape because it is just moved from one location to another.
We have function,
f(x) = x²
and, g(x) = a horizontal translation of 3 units left.
Now, we have to subtract 3 from the x coordinate of g(x).
So, g(x) = f(x-h) where h = -3.
Thus, the translating function is g(x) = ( x+ 3)².
Learn more about Translation here:
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The ratio of nonfiction books to total books on Caleb's bookshelf is 7:10. What does this mean?
A:Caleb has seven nonfiction books and 10 fiction books on his bookshelf.
B:On his bookshelf Caleb has exactly 10 books total, seven of which are nonfiction.
C:On his bookshelf Caleb has exactly 10 books total, seven of which are nonfiction.
D:Out of every 10 books total on Caleb's bookshelf, 7 are nonfiction.
Answer:
D, Out of every 10 books total on Caleb's bookshelf, 7 are nonfiction.
Step-by-step explanation:
When we are dealing with ratios it is common to hear phrases such as "for every". In this circumstance for every 10 books Caleb has on his bookshelf, 7 of them are always nonfiction. This can also be used if we want to expand the ratio, for example, 14:20. The ratio would still be equivalent to 7:10 because each factor increased at the same rate.
Which situation has the lowest cost per can?
8 cans for $4.88
12 cans for $7.20
2 cans for $1.68
10 cans for $5.80
Answer:
10 cans for $5.80
Step-by-step explanation:
What is the area of the triangle?
6
21
units
Answer:
63 units²
Step-by-step explanation:
The formula for the area of a triangle is 1/2(bh).
1/2(21 * 6)
1/2(126)
63
The area of the triangle is 63 units².
Answer:
63 units²
Step-by-step explanation:
The formula for the area of a triangle is 1/2(bh).
1/2(21 * 6)
1/2(126)
63
The area of the triangle is 63 units².
Translate the description as an algebraic expression:
5 more than the sum of 11 and b
x= (11+b)+5
Hope this helps
Brenya Estate produces a high quality tea branded A, B and C in the ration 1.5: 5: 1. Originally Type A tea costs 1600, type B costs 800 and type C costs 1700 per kg to produce. Brenya Tea Estate packs Super tea in packets of 825g each. Blending and packing costs are 40 per kg. Determine the production cost for a packet of super tea
Answer:
The production cost for a packet of super tea is 924.
Step-by-step explanation:
The production cost of the Super tea is given as
[tex]Cost_{super\ tea}=Cost_{A}+Cost_{B}+Cost_{C}+Cost_{packaging\ and\ blending}[/tex]
Here the costs are given as following
[tex]Cost_A=\dfrac{Ratio\ of\ A}{Sum\ of \ ratios} \times Weight \times Cost\ of\ A\ per\ kg[/tex]
Here
Ratio of A is 1.5Sum of Ratios is 1.5+5+1=7.5Weight is 825 g or 0.825kgCost of A per kg is 1600So
[tex]Cost_A=\dfrac{Ratio\ of\ A}{Sum\ of \ ratios} \times Weight \times Cost\ of\ A\ per\ kg\\Cost_A=\dfrac{1.5}{7.5} \times 0.825 \times 1600\\Cost_A=264[/tex]
The cost of A is 264.
Similarly
[tex]Cost_B=\dfrac{Ratio\ of\ B}{Sum\ of \ ratios} \times Weight \times Cost\ of\ B\ per\ kg[/tex]
Here
Ratio of B is 5Sum of Ratios is 7.5Weight is 825 g or 0.825kgCost of B per kg is 800[tex]Cost_B=\dfrac{Ratio\ of\ B}{Sum\ of \ ratios} \times Weight \times Cost\ of\ B\ per\ kg\\Cost_B=\dfrac{5}{7.5} \times 0.825 \times 800\\Cost_B=440[/tex]
The cost of B is 440.
Also
[tex]Cost_C=\dfrac{Ratio\ of\ C}{Sum\ of \ ratios} \times Weight \times Cost\ of\ C\ per\ kg[/tex]
Here
Ratio of C is 1Sum of Ratios is 7.5Weight is 825 g or 0.825kgCost of C per kg is 1700[tex]Cost_C=\dfrac{Ratio\ of\ C}{Sum\ of \ ratios} \times Weight \times Cost\ of\ C\ per\ kg\\Cost_C=\dfrac{1}{7.5} \times 0.825 \times 1700\\Cost_C=187[/tex]
The cost of C is 187.
Now the packaging and blending cost for the given package is calculated as
[tex]Cost_{packaging\ and\ blending}=Weight*Cost_{packaging\ and\ blending\ per\ kg}[/tex]
Here
Weight is 825 g or 0.825kgCost of packaging and blending per kg is 40[tex]Cost_{packaging\ and\ blending}=Weight*Cost_{packaging\ and\ blending\ per\ kg}\\Cost_{packaging\ and\ blending}=0.825*40\\Cost_{packaging\ and\ blending}=33[/tex]
Cost of packaging and blending per packet is 33.
So now substituting values of costs in the following equation gives:
[tex]Cost_{super\ tea}=Cost_{A}+Cost_{B}+Cost_{C}+Cost_{packaging\ and\ blending}\\Cost_{super\ tea}=264+440+187+33\\Cost_{super\ tea}=924[/tex]
The production cost for a packet of super tea is 924.
Ruby uses 3/8 of a cup of blueberries for her smoothie. If she has 4 1/2
cups of blueberries, how many smoothies can she make? PLEASE HELP ASAP I ONLY HAVE 5 MINUTES
Answer:
12 smoothies
Step-by-step explanation:
9/2 ÷ 3/8 = 12
WHAT WOULD THIS BE!!!
no scammers please !!
Do the side lengths of 8, 15, and 20 forms a triangle?
Answer:
Yes they do
Step-by-step explanation:
https://www.mathwarehouse.com/geometry/triangles/triangle-inequality-theorem-rule-explained.php?alenght=8&blength=15&clength=20#triangle-inequality-theorem
This demostration shows how.
Answer:
yes
Step-by-step explanation:
when 1st and 2nd lengths addition is more than 3rd side
for example
6+8>10
Matt wants to hire a company to detail his car. Company A charges $15+17h where h represents the hours it takes to detail the car. Company B charges $20h where h represents the hours it takes to detail the car. For what number of hours is the total amount charged for detailing the car the same for both companies?
Answer:
5 hours
Step-by-step explanation:
First, you set the equations equal, so 20h=17h+15
Second, you isolate the h, so you would subtract 17h from both sides, giving you 3h=15
Last, you divide both sides by 3 giving you h=5, meaning the companies charge the same price after 5 hours.
Answer:
5 hours
Step-by-step explanation:
pls help with this immediately!!! (only answer if u know bc i cannot get this wrong so don’t try guessing. i’ll be giving brainiest to those with the correct answer. don’t leave a link or u will get reported)
Answer:
your answer should be $16.50 :)
Step-by-step explanation:
Answer:
16.5
Step-by-step explanation:
So lets find the change i savings for each week.
To do this, just subtract the value of the 1st week by the value of the 0th week:
7.50-6.50
=
1
So now we know for each week that passes, Henry's savings grows by 1 dollar.
Now, lets multiply the 1 dollar for each week by 10 weeks:
(dollar per week) x (amount of weeks)=(dollars for 10 total weeks)
1x10
=
10
Now that we know in 10 weeks Henry's savings increases by 10, lets add it to the orginal amount.
(Orginal amount) + (dollars for 10 total weeks) = (Total amount in savings)
6.50+10
=
16.5
Hope this helps! ;)
Solve the following equations 3x-5=40
Answer:
x=15
Step-by-step explanation:
3x−5+5=40+5
3x=45
Step 2: Divide both sides by 3.
3x3=453
x=15
Answer:
x = 15
Step-by-step explanation:
3x - 5 = 40
add 5 to each side of the equation:
3x - 5 + 5 = 40 + 5
simplify:
3x = 45
divide both sides by 3:
3x/3 = 45/3
simplify:
x = 15
Which of the following written expressions can be true for the algebraic expression 3n?
3 less than a number n
3 combined with a number n
the quotient of 3 and a number n
3 times a number n
3 multiplied by a number n
The product of 3 and a number n
3 increased by a number n
No
Step-by-step explanation:
I'm wondering this too..
At Jefferson High School, there are 250 students who drive to school and 375 students who ride the bus to school. The statement below is incomplete.
The number of students who drive to school is ___ % of the number of students who ride the bus to school.
Which equation can be used to solve for the blank and complete the statement above?
A. p=250/375
B. p=375/250
C. p=375/625
D. p=250/625
Answer:
D
Step-by-step explanation:
250 +375=625
250/625 × 100= 40%
What’s the answer to this?
Answer:
45 degrees
Step-by-step explanation:
Have a grate Day :)
Solve for b in this equation. 11 - b = 6
Answer:
5
Step-by-step explanation:
what is the quotient of 30 and the sum of 5 and 7.
Answer:
2 1/2
Step-by-step explanation:
30/ (5+7)
solve using system of operations
PEMDAS
Parenthesis
Exponent
Multiplication/Division
Addition/Subtraction
30/(5+7)
parenthesis first so
5+7 = 12
30/12
then division
30/12= 2 6/12
6/12 can be simplified by 6 so
6/6 = 1 and 12/6 = 2
So your answer would be 2 1/2
The quotient of 30 and the sum of 5 and 7 is 2.5
Expressions and equationsFrom the question we are to write the information as an expression:
The sum of 5 and 7 is given as 5+7 = 12The quotient of 30 and the sum of 5 and 7 is expressed as [tex]\frac{30}{5+7}[/tex]Simplify the result
[tex]\frac{30}{5+7} =\frac{30}{12} = 2.5[/tex]
Hence the quotient of 30 and the sum of 5 and 7 is 2.5
Learn more on quotient here: https://brainly.com/question/11418015
The starting salary of a starting teacher is $40,000, which will increase by 2% each year.
What would this teacher’s salary be after 8 years of teaching round to the nearest dollar.
Answer:
$46,866
Step-by-step explanation:
Use the compound amount equation A = P(1 + r)^t, where r is the annual interest as a decimal fraction.
Here we have A = ($40,000)(1 + 0.02)^8, or
A = A = ($40,000)(1.02)^8 = $46,866
What is 0.14 4 recurring as a fraction
Answer:
0.1414... in a fraction is 14/99
Step-by-step explanation:
Given the number 0.1414...
we have to represent the above in terms of fraction
Let x=0.1414.... → (1)
Multiplying by 100 on both sides
100x=14.1414.... → (2)
Subtract (1) from (2), we get
99x=14
x=14/99
hence, 0.1414... in a fraction is 14/99
Sheila buys 33 kg of rice, 9 kg of cornmeal and a certain amount of flour at the supermarket. The amount of flour bought is a third of the amount of rice bought. How much flour was bought?
Answer: 11kg
Step-by-step explanation:
flour = 1/3 of rice
flour = 1/3 x 33 or 33/3
flour = 11kg
PLS HELP AS SOON AS YOU CAN!
How many solutions does the equation 4y + 7 = 5 + 2 + 4y have?
A. One
B. Two
C. None
D. Infinitely many
Answer:
D) infinitely many solutions.
Step-by-step explanation:
1) Cancle 4y on both sides.
[tex]7 = 5 + 2[/tex]
2) Simplify 5 + 2 to 7.
[tex]7 = 7[/tex]
3) Since both sides equal, there are infinitely many solutions.
hence, the answer is option D) infinitely many solutions.
i NEED HELP ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! i NEED HELP ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! i NEED HELP ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! i NEED HELP ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:7
Step-by-step explanation:
Answer:
I shall help
Step-by-step explanation:
11. The answer is 96 because 12 times 8 is 96
12. The answer is B.
13. The answer is also B because you need to count. BIG BRAIN
14 The answer is 8.
Next time please think a little harder
BRain;liest pls
If you do correctly I will mark you Brainliest!
Answer:
66m
Step-by-step explanation:
9+3+16+3+5+12+10+s
the s would 8 because
12+5 is 17
17-9 would be 8 so we would add 8.
9+3+16+3+5+12+10+8
Answer:
66 m
Step-by-step explanation:
We know that Perimeter is sum of all the sides of any triangle / quadrilateral / polygon . Here we see that that the side lenght are ,
8cm , 10cm , 12cm , 3m , 5m , 16m ,9m , 3cm .
On adding these , we will get Perimeter .
⇒ P = 8cm + 10cm + 12cm + 3m + 5m + 16m + 9m + 3m
⇒ P = 66m
Hence the required answer is 66mFast HURRY PLEASE HELP
Answer: i would say c sorry if im wrong
Step-by-step explanation:
Answer:b
Step-by-step explanation:
5/3 X + 10/7 = 30/7
¿como se resolveria?
Answer:
12/7
Step-by-step explanation:
5/3x+10/7=30/7
5/3x=30/7-10/7
5/3x=20/7
x=(20/7)/(5/3)
x=(20/7)(3/5)
x=60/35
simplify
x=12/7
Find the mean and median of data below 64,91,68,78,75,53,70,12,74
Answer:
The mean is 65 and the median is 70.
Step-by-step explanation:
What is the slope ( in simplest form) of the line through the points (-4,2) and (-16,-6)?
Answer:
2/3
Step-by-step explanation:
Slope = [tex]\frac{y2-y1}{x2-x1}[/tex]
(-4,2) = (x1,y1)
(-16,-6) = (x2,y2)
Slope = [tex]\frac{-6-2}{-16+4}[/tex]
= [tex]\frac{-8}{-12}[/tex]
= [tex]\frac{2}{3}[/tex]
PLZZZZ HELP!!!!!
I WILL GIVE BRAINLIEST AND 5 STAR AND 20 POINTS!!!
C=5/9 - (F−32)
Answer:
32 °F
Sorry if I'm wrong
Step-by-step explanation:
Given y varies directly as x, find the constant of variation k.
Decide weather Triangle ABC and triangle DEF are similar, not similar, or cannot be determined from the given information
Answer: The triangles are not similar
=====================================================
Explanation:
Let's focus on triangle ABC. The given angles are
A = 57B = 92Now let's find angle C
A+B+C = 180 .... all angles of a triangle add to 180
57+92+C = 180
149+C = 180
C = 180-149
C = 31
We'll use the same idea to find the missing angle in triangle DEF
D+E+F = 180
D+92+41 = 180
D+133 = 180
D = 180-133
D = 47
--------------------
To summarize the angle measures we found were:
C = 31D = 47Note that while the "92"s match up (angle B and angle E), we don't have any other matches. The two triangles must have all three angles have a match somewhere in order for the triangles to be similar. Similar triangles have their corresponding angles the same measure, but the corresponding side lengths may or may not be the same.
If we had D = 57 and F = 31, then this would lead to triangles ABC and DEF being similar; however, we don't have such a thing going on. Therefore, the two triangles are not similar.