Answer:
89.14 Sq . meter
Step-by-step explanation:
Divide the figure into a semicircle with diameter 8 m and the remaining into a rectangle . The area of rectangle :
4 metres × 16 metres
= 64 sq. meter
Area of semicircle :
(pi×r^2)/2
= {(22/7)× (8/2)^2}/2
= (22×4×4)/(7×2)
= 176/7
= 25.14 sq. meter
Now , area of whole figure= (64+25.14)sq. meter
= 89.14 sq. meter
Mark ordered gummy bears and caramels for his candy shop. He ordered a total of twenty five pounds of there ingredients. Gummy bears cost $5 per pound, and caramels cost $8 per pound. He spent a total of $140.
A. Write a system of equations that describes the situation. Define each variable you use.
B. Solve the system of equations from part A using the substitution or elimination method. Write your solution using a complete sentence. Is the solution reasonable? Why or why not?
Answer:
20 pounds of Gummyballs and 5 pounds of caramel was ordered
Step-by-step explanation:
Let :
Gummyball = a
Caramel = b
a + b = 25 - - - (1)
5a + 8b = 140 - - - (2)
From (1)
a = 25 - b
Put into (2)
5(25 - b) + 8b = 140
125 - 5b + 8b = 140
125 + 3b = 140
3b = 15
b = 5
From a = 25 - b
a = 25 - 5
a = 20
Hence,
20 pounds of Gummyballs and 5 pounds of caramel was ordered
Susan Marciano invested part of her $27,000 bonus in a fund that paid a 12% profit and invested the rest in stock that suffered a 3% loss. Find the amount of each investment if her overall net profit was $1,590.
4. Gabby makes banana bread at her bakery every Monday and Wednesday. Her
banana bread calls for the ratio of ingredients shown
5 cups of sugar for every 50 tablespoons of butter
80 tablespoons of butter for every 32 bananas
Answer:
Top row: 3 cups, 30 tablespoons, 12 bananas
Second row: 7 cups, 70 tbs, 28 bananas
Step-by-step explanation:
The ratio is 5 (sugar) : 50 (butter)...
You can make the unit rate: 1 cup of sugar: 10 tbs of butter
Since the other ratio is 80 tbs : 32 bananas...
1 tbs : .4 bananas
So...
3 cups : 30 tbs
30 tbs : 12 bananas
28 bananas : 70 tbs
70 tbs : 7 cups
Hope this helps!!!
Mrs. Hanson has a potato salad recipe that calls for 238 pounds of potatoes, but she wants to make 112 times as much as the recipe calls for.
The diagram represents the number of pounds of potatoes that Mrs. Hanson needs.
How many pounds of potatoes does Mrs. Hanson need?
Enter your answer as a mixed number in simplest form by filling in the boxes. please hurry dont say what to add or mutply say the answer i am on k12
Answer:
3 9/16 lbs
Step-by-step explanation:
took quiz
Juanita borrowed $600 to purchase a new computer. She was charged 7% interest for two years. She used the simple interest formula to find the interest.
I = 600(7)(2)
What error did Juanita make and how will her error affect the interest she calculates? Explain
{_____________________________
whoever does best get brainliest
Answer:
The correct formula should be I= 600(0.07)(2). Juanita made a very common error, she didn't put the percentage of interest in decimal form; or she didn't put the percent sign on it so we know to put it in decimal form. Her error will make a big difference; with using her calculations the answer would be $8,400. With the correct formula the answer is $84.
Hope this help! :)
Given :-
Juanita borrowed $600 .Rate of Interest = 7% .Time = 2yrs .To find :-
Error made by her.Answer :-
As we know that the formula for Simple interest is ,
SI = P*R*T / 100Substitute ,
I $600* 7 * 2 / 100 I = $ 84 .So here she did not write 7 % as 7/100 instead she wrote 7 .
Trapezoid ABCD has an area of 57. BC = 7 and AD = 12. What is the height of the trapezoid?
Answer:
Step-by-step explanation:
57x2/(12+7)=6
Fill in the blanks to write the fraction 3/4 as in different ways
Answer:
1.3/4 × 2/2 = 6/8
2.3/4 × 3/3 = 9/12
3.3/4 × 4/4 = 12 /16
4. 3/4 × 5/5 = 15/20
The art club is designing a rectangular mural for the school hallway. Three
corners are located at (-1,-1),(-1, 1), and (4.1) on a coordinate plane. Find the
fourth vertex and graph the rectangle on the coordinate plane below.
Fourth vertex:
Answer:
The coordinates are (50, 103)
Step-by-step explanation:
The three hallways are AB, BC, CD.
The co-ordinate of D is (50, 75).
The school's flagpole is 28 meters right of the point D.
Hence the y-coordinate for the flagpole will be same as D, that is 75.
The x-coordinate will be (28 + 75) = 103.
The location of the school's flagpole will be represented by (50, 103)
The 4th vertex of the rectangle is given by D ( 4 , -1 ) and the graph is plotted
What is the Area of a Rectangle?The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle
Area of Rectangle = Length x Width
Given data ,
Let the area of the rectangle be represented as S
Let the rectangle be represented as ABCD
The coordinates of A = A ( -1 , -1 )
The coordinates of B + B ( -1 , 1 )
The coordinates of C = C ( 4 , 1 )
So , the length of the rectangle = 4 units
The width of the rectangle = 2 units
So , the area of the rectangle S = 4 x 2 = 8 units
And , the 4th vertex of rectangle D = D ( 4 , -1 )
Hence , the coordinate D of rectangle is D ( 4 , -1 )
To learn more about area of rectangle click :
https://brainly.com/question/15225905
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The Value that you insert into a function is know as the?
Answer:
Step-by-step explanation:
Most commonly, that value would be the "independent variable."
We evaluate the function at that particular value of the independent variable.
find a ⋅ b
a = 7i - 4j, b = 4i + 3j
Answer:
28i^2 + 5ij - 12j^2
Step-by-step explanation:
(7i-4j)(4i+3j)
7i times 4i is 28i^2
7i times 3j is 21ij
-4j times 4i is -16ij
-4j times 3j is -12j^2
In equation it looks like this:
28i^2+21ij-16ij-12j^2
Simplify 21ij and -16ij
21ij-16ij is 5ij
So the answer is:
28i^2 + 5ij - 12j^2
Hope this helps!
Answer:
The answer is 16
Step-by-step explanation:
Ten people put 63 boxes on a red truck and 38 boxes on a blue track About how many boxes did they load in all
Answer:
63+38=101
Step-by-step explanation:
Find the scale factor of the small triangle to the large triangle.
Answer:
scale factor is: 2.25
Step-by-step explanation:
if anyone is able to help please do :)
Answer:
49.12?
Step-by-step explanation:
half circle= 4 squared *3.14/2=25.12
triangle=pythagorean theorem to find h=8. 8*6/2= 24
25.12+24=49.12
I don't know I need help.
Which of the following numbers can be expressed as repeating decimals?
3 over 7, 2 over 5, 3 over 4, 2 over 9
2 over 9 and 3 over 4
3 over 7 and 2 over 5
2 over 5 and 3 over 4
3 over 7 and 2 over 9
Answer:
2/9 = 0.2 repeating
3/7 = 0.428571 repeating
Step-by-step explanation:
1. Write a rule for the transformation performed if Q(3 , 5) translates to Q’( 3, 18).
2. Consider the point Q(4,-3) which is translated to (3,2). What would the pre-image of P(1, 2) be under the same translation?
Function Notation.
Find the range values (y-values) for function f(x)=2x^2-4 when the domain (x-value) is (-2,0,1)
f(-2)=2(-2)^2-4= ?
f(0)=2(0)^2-4= ?
f(1)=2(1)^2-4= ?
Answer:
1. vertical translation (the point goes straight up)
2. P'(0,7) (the translation was up five units and over 1 unit)
3. f(-2)=2(-2)^2-4= (all y values are 4) (0,4)
f(0)=2(0)^2-4= (all y values are -4) (0,-4)
f(1)=2(1)^2-4= (all y values are -2) (0,-2)
Hey It's Chloe again, sorry.
But what is the perimeter of a rectangle?
Answer:A perimeter is the sides of a shape added together.
Step-by-step explanation:
Answer:
The perimeter of a rectangle is the total length of all the sides of the rectangle.
Step-by-step explanation:
The perimeter of a rectangle is the total length of all the sides of the rectangle. We can find the perimeter by adding all four sides of a rectangle. Since opposite sides of a rectangle are always equal, we need to find the dimensions of only two sides to find the perimeter of a rectangle.
If you have a 2 inches by 4 inches rectangle, you would have 2 inches + 4 inches + 2 inches + 4 inches = 12 inches
¿entre las fracciones 33/96 y 34/96 podrían encontrarse más números fraccionarios? ¿ cuántos?
Jessica is bringing cupcakes to school for her birthday. She is placing them in a rectangular box that can fit 4 more cupcakes long that it can wide. They will not all fit in the box, so she is also bringing a bag that can hold 12 cupcakes. The amount of cupcakes she is bringing can be represented as x(x + 4) + 12. Solve for the number of cupcakes wide and long the box will hold. Part A) What does x represent?
Answer:
the amount of cupcakes
Step-by-step explanation:
you said the amount of cupcakes can be represented by
Kirk is getting a raise of 5% due to inflation. His normal salary is $56,000 per year. Which of the following calculations gives Kirk's new salary, in dollars? A. 56,000 +5 B. 56,000 + 56,000(0.05) C. 56,000 + 56,000(0.50) D. 56,000 + 56,000(5) E. 56,000(.05)
Answer:
The answer is B. 56,000 + 56,000(0.05) because 5% or expressed in decimals 0.05 multiplied by the quantity 56,000 gives us 5% of Kirk's normal salary and added to his normal salary will give us his new salary.
(His new salary is 58,800 and 5% of his normal salary is 2,800)
BCDE is a rhombus. Find the missing measures.
BC = 28 and BD = 32
CD =
FD =
EF =
EC =
Answer: CD=28
FD= 16
Step-by-step explanation:
School A has graduated 1,700 students and graduates
50 students every year. School B has graduated 600
students, but graduates 150 every year. How many years (Y)
will it be before School B has as many graduates as School A?
Answer:
the answer is 11 years
Step-by-step explanation:
if school A is graduated 50/years,
the graduated in 11 years is 550
added of graduated 1,700 in 550 is 2,250
if school B is graduated 150/years,
the graduated in 11 years is 1650
added of graduated 600 in 1650 is 2,250
so School A and B is to be equal in 11 years
What is m/3= -1.5 what is m???
Answer:
-4.5
Step-by-step explanation:
M would be -4.5 because if you multiply -1.5 by 3 you get -4.5. Therefore the equation would be -4.5/3= -1.5 .
Hope this helps :))
Will mark brainliest for whoever answers correctly
Step-by-step explanation:
r = 3 √ 3V / 4π
is the correct answer of this question .
in a 5th grade class, 9/10nof the students like going to the movies. Of those students 4/5 like popcorn. Of the students that like popcorn, 2/3 of them also like candy. what fraction of the students class like popcorn at the movies? What faction lf the students in class like popcorn and candy at the movies?
Answer:
48%
Step-by-step explanation:
9/10 of the students like going to the movies.
4/5 of 9/10 is 72/100 or 72%.
2/3 of 72 is 48.
So, 48% of the students like popcorn, candy, and going to the movies.
A loaf of bread costs 3.00 dollars today. The same size loaf cost 20 cents in 1955. what percentage of todays price did someone in 1955 pay for bread?
Answer:
About 6.7%
Step-by-step explanation:
Plz help me with this question
Answer:
C
Step-by-step explanation:
Remark
There are probably a couple of ways that you could do this. I'm going to pick the most obvious way.
Givens.
KN = 2.5
NO = 10
LM = 3
MP = x
Equation
NO/KN = PM / LM
Solution
10 / 2.5 = x / 3 Cross multiply
2.5x = 10 * 3 Combine
2.5x = 30 Divide by 2.5
x = 30/2.5
x = 12
That looks like it should be the answer, and it almost is, but you are asked for LP.
LP = LM + MP
LP = 3 + 12
LP = 15
The answer is 15
Given that 3 apples and 4 pears cost $1.95, 4 pears and 1 orange cost $1.60, and 1 orange and 3 apples cost $1.15, what is the cost of 1 apple?
Answer:
Step-by-step explanation:
Given that 3 apples and 4 pears cost $1.95, 4 pears and 1 orange cost $1.60, and 1 orange and 3 apples cost $1.15, what is the cost of 1 apple?
Let us represent
Number of apples = x
Number of pears = y
Number of oranges = z
Given that
3 apples and 4 pears cost $1.95
3x + 4y = 1.95
4 pears and 1 orange cost $1.60
4y + z = 1.60
z = 1.60 - 4y
1 orange and 3 apples cost $1.15
z + 3x = 1.15
z = 1.15 - 3x
what is the cost of 1 apple?
1.N% of 40 is 10. Solve for N. Just put the number.
2.Mia finished 60% of her homework in 45 minutes. how many minutes will it take her to complete all of her homework? Remember her total homework is 100%
Step-by-step explanation:
N% of 40=10N/100×40=10
N=10×100/40=25
2.
60%of homework=45min
1%of homework=45/60=3/4min
100%of homework =3/4 ×100=75 min
Salesman Scott received $2,792.79 for selling a property. If the gross commission was 6.5 % of the sale price, the listing salesman received 12% of the gross commission and Scott received 45% of the balance, how much did the property sell for?
Answer: The property sold for $5,870.41.
Step-by-step explanation:
Let x be the selling price of the property.
Then, gross commission = 6.5% of x = 0.065x
listing salesman received = 12% of ( 0.065x) = 0.12 (0.065x) = 0.0078 x
Balance = x - ( 0.065x) - (0.0078 x)
= (1+0.065-0.0078)x
= 1.0572x
Scott received = 45% of (1.0572x)
=0.45 (1.0572x)
= 0.47574x
Now, [tex]0.47574x=2,792.79[/tex]
[tex]\Rightarrow\ x=\dfrac{2792.79}{0.47574}\\\\\Rightarrow\ x=5870.41[/tex]
Hence, the property sold for $5,870.41.
Use the Distributive Property to simplify the expression. 8(s−1) =
Answer:
the answer would be 8s -8
Step-by-step explanation:
I learned this a long time ago
Answer:
anong grade Yan tol??g7 g7 g8 g9 g10 g11 g12?