Answer: D
break it into two shapes:
square: side length^2 7^2
49
triangle: side length x side length divided by two (7 x 12) / 2
84 / 2
42
add them together:
49 + 42= 91
Write the expression 5^2/3 without using exponents
The expression 5²/3 can be written without exponents as the fraction 25/3 or 8.33 approximately to 2 decimal place.
Whole numbers, exponents and fractionsWhole numbers include all natural numbers and 0 and can be expressed as exponents and fractions. Exponent is the method of expressing numbers in terms of powers while fractions a fraction represents a part of a whole or, more.
The expression 5²/3 having an exponent can be rewritten as follows:
5²/3 = (5 × 5)/3
5²/3 = 25/3
Therefore, without using exponents the fraction 25/3 or 8.33 approximately to 2 decimal place is the same as the expression 5²/3.
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solve the system using substitution x=-4y y=2x+9
Answer: x=-4
Step-by-step explanation:
Given
x=-4y
y=2x+9
Rephrase equation to find y value in terms of x
y=-x/4
y=2x+9
Use substitution (substitute value of y)
2x+9=-x/4
Multiply -4 on both sides
-4(2x+9)=-4(-x/4)
-8x-36=x
Add 8x on both sides
-8x-36+8x=x+8x
-36=9x
Divide 9 on both sides
-36/9=9x/9
x=-4
Hope this helps!! :)
Please let me know if you have any questions
I
4. Two rectangular corrals are to be made from 100 yds. of fencing. If a rancher wants the
total area to be maximized, what should the dimensions of the coral be?
The dimensions of the coral if the area is maximized will be 50/3 yards by 25yards.
Measurement is a branch of mathematics used in determining the area and volume of an object.
From the question,
Let the length of the two rectangular corrals be x
Let the length of the three fence section be y
Note that the area of the rectangle A = length * width
A = xy .....1
Also, since the rectangular corrals are to be made from 100 yd, then;
3x + 2y = 100 ..... 2
Divide through by 2
3x/2 + 2y/2 = 100/2
1.5x + y = 50
y = 50 - 1.5x .... 3
Substitute equation 3 into 1 to have:
A = x(50-1.5x)
A = 50x - 1.5x²
Since the total area is to b maximized, this means that:
dA/dx = 0
dA/dx = 50 - 3.0x
0 = 50 - 3x
3x = 50
x = 50/3 yards
Substitute the value of x into equation 3:
y = 50 - 1.5x
y = 50 - 1.5(50/3)
y = 50 - 25
y = 25yards
Hence the dimensions of the coral if the area is maximized will be 50/3 yards by 25yards.
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16. Under the Christmas tree at my house, there are five presents for my wife, three presents for me, and 8
presents for my son. (Hint: How many packages are under the tree in total?)
a) What percentage of the presents are for my wife?
b) What percent of the presents are for my son?
c) What percent of the presents are for me?
Answer:
a) 31.25%
b) 50%
c) 18.75%
select all expression that are equivalent to 64 2/3.
Answer:
Option B and DStep-by-step explanation:
As,
[tex] {64}^{ \frac{2}{3} } = {(\sqrt[3]{64})}^{2} = \sqrt[3]{ {64}^{2} } [/tex]
2 Select the correct answer. Adrianna is using exponential functions to model the value, in whole dollars, of two investments. She represents the value of investment A with a description of its key features and the value of investment B with a table. In both cases, xis the number of years she has held the investment.
Answer: A.
Both investments are decreasing in value, and investment A is decreasing in value faster.
Step-by-step explanation:
Help pls I need it someone
Answer:
search up demos graphing calculator and plug in the numbers there.
Step-by-step explanation:
its super easy to use try it :)
Nevaeh is a cruise specialist and earned $486 commission after booking a cruise that cost $5,400. What is her rate (in %) of commission?
What are the mean,median and range for the monthly sales of the product?
Answer:
Option D
Step-by-step explanation:
mean=(∑x/N)=(1100+5000+2000+10100+8000/6)
=(34200/6)=$5700
________________-
median: =>
$1100,$2000,$5000,$8000,$8000,$10100
==>(5000+8000/2)=$6500
_______________
Range=maximum-minimum=10100-1100
==>$9000
so your answer is Option D
hope it helps...
have a great day!!
The expression 52 - 4 of (17 - 12) + 4 × 7 is equal to
70
60
50
48
Answer:
The value of given expression 52 - 4 of (17 - 12) + 4 × 7 = 60
Step-by-step explanation:
Given expression;
52 - 4 of (17 - 12) + 4 × 7
Find:
The value of given expression 52 - 4 of (17 - 12) + 4 × 7
Computation:
52 - 4 of (17 - 12) + 4 × 7
Using BODMAS rule;
52 - 4 of (17 - 12) + 4 × 7
52 - 4(17 - 12) + 4 × 7
52 - 4(5) + 28
52 - 20 + 28
80 - 20
60
So,
The value of given expression 52 - 4 of (17 - 12) + 4 × 7 = 60
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Answer:
djdmfkdkdjdj
Step-by-step explanation:
jfjffmfkdnfjdjdndkd
What is the area of the triangle below?
4
18
A. 72 sq. units
B. 16 sq. units
C. 36 sq. units
D. 32 sq. units
Answer:
it is a
Step-by-step explanation:
its 72 sq. units igdoug
The area of the triangle is 36 square units, option C is correct.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
We have to find the area of triangle whose base is 4 units and height is 18 units
Area of triangle = 1/2 base ×height
Plug in the values of base and height in the above formula
=1/2×4×18
Divide numerator and denominator by 2
=36 square units
Hence, the area of the triangle is 36 square units, option C is correct.
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1Alfred departs from NAMPO Park
at 18:45 and travels to Sasolburg at
an average speed of 88 km/h. He
calls his wife to inform her that he
will arrive in Sasolburg at 8 pm.
Verify, with calculations, whether his
estimate is correct.
You may use the formula:
Distance= Speed x time
Answer:
Alfred will not arrive in his city at 8 PM, but he will arrive at approximately 8:20 PM.
Step-by-step explanation:
Since Alfred departs from NAMPO Park at 18:45 and travels to Sasolburg at an average speed of 88 km / h, and he calls his wife to inform her that he will arrive in Sasolburg at 8 pm, to determine if his estimate is correct the following calculations must be performed:
The shortest route from Nampo Park to Sasolburg in South Africa is 139 km via Route 59.
8 PM = 20:00
20:00 - 18:45 = 1:15
139/88 = 1.57
60 x 0.57 = 34.74
Thus, Alfred will not arrive in his city at 8 PM, but he will arrive at approximately 8:20 PM.
Give one word for the following.
To find the way, carefully and safely
GPS.....................GPS..............................................................................................
Find the value of x.
6
14
3x-12
21
x = [?]
Twenty more than four times a number is equal to the difference between −71 and three times the number. Find the number.
4x + 20 = - 71 - ( 3x )
4x + 20 = - 3x - 71
Subtract sides minus 20
4x + 20 - 20 = - 3x - 71 - 20
4x = - 3x - 91
Add sides 3x
4x + 3x = - 3x + 3x - 91
7x = - 91
Divide sides by 7
7x / 7 = - 91 / 7
Simplification
x = - 13
Thus the number is ( - 13 ) .
The number of watermelon seeds in the original watermelon is 500. The second watermelon has 5% more. How many seeds are in the second watermelon?
Answer:
s
Step-by-step explanation:
500seeds+25seeds=525seeds
Answer:
520 watermelon
Step-by-step explanation:
hope you have a good day good luck hope you will understand too
What’s the answer for 18 and 19?
Answer:
18. 3,0 19. 0,5
Step-by-step explanation:
use the trend line equation to determine when gas would cost about $4 per gallon
Answer:2045
Step-by-step explanation:
Answer:
2045
Step-by-step explanation:
Is x=5 a solution to the equation: 4x=20
Answer:
Step-by-step explanation:
4(x-5)=4x-20
4x-20=4x-20
+20 +20
4x=4x
-4x -4x therefore there's infinite solutions
0=0
372.3 in expanded notation
Answer: Expanded Notation Form:
300 + 70 + 2 + 0.3= 372.3
Step-by-step explanation:
find the given polynomial by finding the greatest common monomial factor or the ñegative of the greatest common monomial factor and rewrite the expression.
Answer:
1. The greatest common monomial factor is xy
2. xy(6 + 2y² + 3x²)
Step-by-step explanation:
6xy + 2xy³+ 3x³y
1. Determination of the greatest common monomial (GCM) factor.
6xy + 2xy³+ 3x³y
6xy => 2 × 3 × x × y
2xy³ = 2 × x × y × y × y
3x³y = 3 × x × x × x × y
GCM => xy
2. Rewrite the expression
6xy + 2xy³+ 3x³y
GCM => xy
6xy + 2xy³+ 3x³y = xy(6 + 2y² + 3x²)
PLLLSS HELP MMEE FAASSTT
In a triangle, two of the angles are 45 degrees and 70 degrees. What is the measure of
the third angle in this triangle? Explain how you got your answer.
*Use the term TRIANGLE SUM THEOREM in your explanation.
Answer:
65
Step-by-step explanation:
the sum of interior angles in a triangle equal to 180°
so 45+70=115
180-115=65
Mathematical Literacy , What does a basic fee mean?
Answer:
Basic Fee means the compensation provided to Construction Manager for providing Basic Services. + New List. Basic Fee means the compensation provided to Pre-Construction Contractor for providing Basic Services.Step-by-step explanation:
GIVING BRAINIEST to who ever answers hurry
Answer:
x=10
Step-by-step explanation:
50+x=6x
-x -x
50=5x
/5 /5
x=10
a farmer hires 110 workers to harvest apples from his trees.it takes the 12 days to harvest the farmers entire crop.how long does it take for 440 farmers to harvest the crop
Answer:
110 = 12
110 + 110 + 110 + 110 = 440
so 110 × 4 = 440
4 × 12 = 48 days
hope this helps
Find the volume (in cubic inches) of an exercise ball with a radius of 17 inches. (Round your answer to one decimal place.)
Answer:
20579.52628
Step-by-step explanation:
4/3 pi(r^3)
4/3 pi x 17 x 17 x 17
= 20579.52628
Answer:
20579.5
Step-by-step explanation:
The formula for The volume of a Sphere is 4/3 pi r^3
so it would be 4/3pi * 4913
4.19666666....* 4913 which would equal to 20.579.53333333333 or 20579.5
if you invest $1,600 at 5.35% for 18 months how much simple interest is earned
Answer:
Step-by-step explanation:
Answer:
1540.8
Step-by-step explanation:
i=prt
i= 1600(.0535)(18)
i=1540.8
also i is equal to interest, p is equal to principal, r is equal to rate and t is equal to time.
This Inflatable Crayon has a diameter of 8 in a length of 40 inches and is topped with a cone shaped tip with a height of 12 inches Round your answer to the nearest tenth of an inch.
Answer:
Assuming you want to know the volume,
volume = 2210.6 in³
Step-by-step explanation:
radius = diameter/2 = 8/2 = 4 in
area of base = πr² = (3.14)(4²) = 50.24 in²
volume of tube portion = base area x height = 50.24 x 40 = 2009.6 in³
cone volume = 1/3bh = 1/3(50.24)(12) = 200.96 in³
total volume = 2009.6 + 200.96 = 2210.56 in³
a clothing distributor sold an $80 coat at a discount price of $73. what was the percentage of discount for the coat?
Answer:
91%
Step-by-step explanation:
The discount is $73 so we would get 73/80.
73/80 is also known as 73÷80
which would equal 0.9125
if we were to covert and round it to a percent, it would be 91%