Answer:
$52000.00
Step-by-step explanation:
formula= principal (1+(rate÷100))^years
500 (1+(4÷100))^1
500 (1+0.04)^1
500 (1.04)
520
$520.00
100 cents = $1
520×100
52000 cents
Janae and Jerome each have m marbles. Gwen has 4(m 2) marbles. John has 8m 4 marbles. If John has more marbles than Janae, Jerome, and Gwen combined, how many marbles might Janae and Jerome each have? Select each possible answer.
Janae and Jerome each have either 3, or 4 or 5 marbles. Option C, D and E are correct.
How do you calculate the value of integer m?Given that the number of marbles has:
Janae = m
Jerome = m
Gwen = 4(m+2)
John = 8m+4
John has more marbles than Janae, Jerome, and Gwen combined, So this can be written as,
[tex]8m+4 \geq m + m + 4(m+2)[/tex]
[tex]8m+4\geq 2m + 4m+8[/tex]
[tex]8m+4 \geq 6m+8[/tex]
[tex]2m\geq 4[/tex]
[tex]m\geq 2[/tex]
It means that the value of m is greater than 2, it can be 3, 4 or 5.
Hence we can conclude that Janae and Jerome each have either 3, or 4 or 5 marbles. Options C, D and E are correct.
To know more about integers, follow the link given below.
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Triangle E B C is shown with its exterior angles. Line E C extends through point F. Line C B extends through point A. Line B E extends through point D. Which statements regarding the diagram of ΔEBC are true? Select three options. ∠BEC is an exterior angle. ∠DEC is an exterior angle. ∠ABE and ∠EBC are supplementary angles. ∠BCF and ∠DEC are supplementary angles. ∠BEC is a remote interior angle to exterior ∠BCF.
Answer:
2, 3, 5 are true statements
Step-by-step explanation:
A diagram of the geometry is helpful. Our understanding of your description is shown in the first attachment. The second attachment shows how the various angles relate to each other. An exterior angle and its adjacent interior angle are a linear pair, so are supplementary.
__
1. BEC is an exterior angle -- False, it is an interior angle
2. DEC is an exterior angle -- True
3. ABE and EBC are supplementary -- True, they are a linear pair
4. BCF and DEC are supplementary -- False, they are unrelated exterior angles
5. BEC is a remote interior angle to BCF -- True
Answer:
Step-by-step explanation:
2,3,5
PLS HELP
What is the volume of this rectangular prism?
Enter your answer in the box.
cm³
Solution:
We know that:
Height = 2 cmLength = 7 cmWidth = 4 cmVolume = LWHLet's substitute the length, width, and height in the expression to find the volume.
Volume of rectangular prism = LWHVolume of rectangular prism = (7)(4)(2)Volume of rectangular prism = 56 cm³Answer:
56
Step-by-step explanation:
trust me i failed that test and reviewed it
simplify the monomials
Answer:
1. [tex]-12x^{5}y^{5}[/tex]
2. [tex]\frac{10b^{8} }{a^{3} }[/tex]
3. correct
4. [tex]a^{8}b^{10}c^{15}[/tex]
Step-by-step explanation:
When dividing a monomial by another monomial, we divide the coefficients and apply the quotient law of exponents, x m ÷ x n = x m – n to the variables. If both the monomials have negative coefficients, the negative signs cancel out and the answer so obtained will be having a positive coefficient only.
For example, the binomial 2x +4 can be multiplied by the monomial 4x so that (2x) (4x) equals 8x2 and 4·4x equals 16x, using the distributive property. Therefore, (2x +4) (4x) equals 8x2 + 16x.Mar 15, 2016
Use the Quotient Property. When we divide monomials with more than one variable, we write one fraction for each variable. Use fraction multiplication. Simplify and use the Quotient Property.
Determine the product. 800.5 x (2x10^6)
A 1.7 x 10^7
B 1.601 x 10^7
C 1.7 x 10^9
D 1.601 x 10^9
Which of the following would best be solved using factoring by grouping?
Answer:
option A
Step-by-step explanation:
x² + 3x - 10 = 0
x² + 5x - 2x - 10 = 0
x(x + 5) -2(x + 5) = 0
(x + 5) (x - 2)
x = -5 x = 2
A grocery store has 5 pounds of gronola. one customer buys 2 3rds pounds of gronola and another buys 5 6ths pounds. after these purchases how much gronla is left.
Answer:
3 1/2 Pounds
Step-by-step explanation:
2/3=4/6
4/6+5/6=9/6
30/6-9/6=21/6
The height of the mast on the bridge is 148 feet. Using the conversion 1 foot=30cm calculate the height of the mast in metres
Any help would be very useful, thank you
Answer:
44.4 meters
Step-by-step explanation:
Using 1 foot = 30 cm
convert 148 feet to centimeters by multiplying.
148ft × 30cm/1ft
= 148 × 30
= 4440 cm
Then convert cm to meters by dividing by 100.
1 meter = 100cm
4440cm × 1m/100cm
= 4440/100
= 44.4m
148 feet is 44.4m
Ju long has 6 guppies in his aquarium. This is 24% of the fish in the aquarium. How many fish are in Ju long's aquarium? Use an equation with a variable? Show your work.
Answer: 25
Step-by-step explanation:
Let x be the amount of fish in Ju Long's aquarium.
We know that 24% of x is equal to 6.
We can now set up an equation.
24% * x = 6
24% as a decimal is 0.24"
0.24x = 6
We can divide both sides by 0.24:
x = 25
The solution is, 25 fish are in Ju long's aquarium.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
here, we have,
given that,
Ju long has 6 guppies in his aquarium.
This is 24% of the fish in the aquarium.
Let x be the amount of fish in Ju Long's aquarium.
We know that 24% of x is equal to 6.
We can now set up an equation.
24% * x = 6
24% as a decimal is 0.24"
0.24x = 6
We can divide both sides by 0.24:
x = 25
Hence, The solution is, 25 fish are in Ju long's aquarium.
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Please answer I will make you brainliest
Answer:
3 times as great
Step-by-step explanation:
The most amount of water is 3/4 full
The least amount of water 1/4 full
To get from 1/4 to 3/4, you multiply by 3:
[tex]\frac{1}{4} * \frac{3}{1} = \frac{3}{4}[/tex]
(I made 3 into 3/1 to show how you multiply across easier)
There are 9 students in a service club. The club is making gift baskets for children in a hospital. Each club member donated 4 children’s books for the baskets. Each club member also donated an equal number of toys. A total of 63 items were collected for the baskets. Which linear equation can you use to find how many toys each club member donated?
Answer:
9x + 36 = 63
Step-by-step explanation:
Let x represent the number of toys that each club member donated.
There are 9 students in a service club.
If each club member donated 4 children's books for the baskets, it means that the total number of books donated by the club members would be
9 × 4 = 36
If each club member also donated an equal number of toys. It means that the total number of toys donated by the club members would be
9 × x = 9x
A total of 63 items were collected for the baskets. Therefore, the linear equation that you can use to find how many toys each club member donated would be
9x + 36 = 63
:)
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
Let x represent the number of toys that each club member donated.
There are 9 students in a service club.
If each club member donated 4 children's books for the baskets, it means that the total number of books donated by the club members would be
9 × 4 = 36
If each club member also donated an equal number of toys. It means that the total number of toys donated by the club members would be
9 × x = 9x
A total of 63 items were collected for the baskets. Therefore, the linear equation that you can use to find how many toys each club member donated would be
9x + 36 = 63
Treena flew home to visit her family for
Thanksgiving and checked two suitcases.
If their combined weight was 71.5 pounds
and one bag weighed 47,8 pounds, find the
weight of the other bag,
x + y = 71.5
x = 47.8
y = 71.5 - 47.8
71.5 - 47.8 = 23.7
y = 23.7 pounds
Mia was out at a restaurant for dinner when the bill came. Her dinner came to $28. After adding in a tip, before tax, she paid $37.24. Find the percent tip.
F(x)=(x-6)2(x+2)2
Determine number of roots
Answer:
(x - 6)^2 = 0 or (x + 2)^2 = 0
Take the square root of both sides:
x - 6 = 0 or (x + 2)^2 = 0
Add 6 to both sides:
x = 6 or (x + 2)^2 = 0
Take the square root of both sides:
x = 6 or x + 2 = 0
Subtract 2 from both sides:
Answer: x = 6 or x = -2
Step-by-step explanation: the answer is x= 6 or = -2
Hey! I need someone to help me with this.
1)
Expression: (a-5)2
Simplified: ?
2)
Expression: a-9 x a17a7
Simplified: ?
3)
Expression: a-4a-7
Simplified: ?
4)
Expression: (a3)-2 x a2a3
Simplified: ?
5)
Expression: a22(a3)8
Simplified: ?
6)
Expression: a0x (a2)6
Simplified: ?
7)
Expression: (a5)3
Simplified: ?
8)
Expression: a-4x a15
Simplified: ?
Answer:
1)
Expression: (a-5)2
Simplified: 2a−10
2)
Expression: a-9 x a17a7
Simplified: a−9xa24
3)
Expression: a-4a-7
Simplified: −3a−7
4)
Expression: (a3)-2 x a2a3
Simplified: a3−2xa5
5)
Expression: a22(a3)8
Simplified: 8a25
6)
Expression: a0x (a2)6
Simplified: 2+x>4
(−3−5i)−(4+2i)
6/8
7)
Expression: (a5)3
Simplified: 3a5
8)
Expression: a-4x a15
Simplified: a−4xa15
Pls, choose me as brainliest!
Help With The Last Question Someone Please!
Answer:
x ≥ 21
Hope it helps!
Would using the commutative property of addition be a good strategy
for simplifying 35 +82 +65? Explain why or why not.
Answer:
Yes
Step-by-step explanation:
Without using the property, you would have to do 35+82+65 which is messy. 35+82=117+65=182 ugh
Using the property however, tells you that you can do 35+65+82 which is easier to solve! 35+65=100+82=182
pls help will mark as brainlist
Answer:
35200Step-by-step explanation:
[tex]244^{2}-156^{2}=(200+44)^{2}-(200-44)^{2}[/tex]
[tex]=\left(200^{2}+2 \times 200 \times 44+44^{2}\right)-\left(200^{2}-2 \times 200 \times 44+44^{2}\right)[/tex]
[tex]=200^{2}+2 \times 200 \times 44+44^{2}-200^{2}+2 \times 200 \times 44-44^{2}[/tex]
[tex]=4 \times 200 \times 44[/tex]
[tex]=35200[/tex]
Answer:
244^2-156^2 hi this is in the form p^2-q^2=(p+q)(p-q) now, (244+156)(244-156) =(400)(88)=35,200answer.
Which systems of equations have one or more solutions?
Select all that apply. HELP ASAPPPP
The figure shows 3 semicircles and a right-angled triangle, Find the total area of the shaded parts. (Take a = 3.14)
Answer:
A semicircle is drawn with AC as diameter. If AB = BC = 7 cm, find the area of the shaded region. Take π = 22/7. 25. A circular field has perimeter 660 m.
Using the formula for area of circle and right angled triangle, we find that area of shaded region is 96[tex]cm^2[/tex].
Area of circle = [tex]\pi r^2[/tex]
where, r is the radius of circle.
Area of right angled triangle = [tex]\frac{1}{2} * base *height[/tex]
The area of shaded region is given by =
= area of semicircle with AB as diameter + area of semicircle with BC as diameter + area of triangle ABC - area of semicircle with AC as diameter
Now,
area of semicircle with AB as diameter =
AB = diameter = 12cm
radius = 6 cm
area of semicircle = [tex]\frac{1}{2} \pi r^2 = \frac{1}{2} *3.14 * 6^2 = 56.52[/tex]
area of semicircle with BC as diameter =
BC = diameter = 16cm
radius = 8 cm
area of semicircle = [tex]\frac{1}{2} \pi r^2 = \frac{1}{2} *3.14 * 8^2 = 100.48[/tex]
area of semicircle with AC as diameter =
AC = diameter = 20cm
radius = 10 cm
area of semicircle = [tex]\frac{1}{2} \pi r^2 = \frac{1}{2} *3.14 * 10^2 =157[/tex]
area of triangle ABC =
AB = base = 12cm
BC = perpendicular = 16 cm
area(ABC) = [tex]\frac{1}{2}*12*16 = 96[/tex]
The area of shaded region is given by = 56.52 + 100.48 + 96 - 157 = 96[tex]cm^2[/tex]
Learn more about area here
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Find the area of the figure below.
I am stuck on this too...
Maybe we can figure it out together
– (+3 – 2 − 1) + (−5 + 7 + 4)
Convert 14 cubic centimeters to cubic millimeters.
Answer:
14 centimeters is 140 milimeters
Step-by-step explanation:
multiply centimeters by ten to get millimeteres
Answer:
The answer is
→ 14,000 cubic millimeters
Step-by-step explanation:
Given: 14 cubic centimeters.
Solve:14 cubic centimeters to cubic millimeters is 14,000 cubic millimeters.
Step 1: Multiply 14 by 1,000
[tex]14*1,000=14,000[/tex]
Hence, your answer is 14,000 cubic millimeters.
Nuclear Physics Problems
Help me for 50 points
Suggestion: tell me that you want answer of all or anyone.
If you're solving a quadratic equation by factoring
what would the factorization of g(x)=x^2+12x+20
Answer:
Step-by-step explanation:
Product = 20
Sum = 12
Factors = 2 , 10 {2*10 = 20 & 2+10 = 12}
x² +12x + 20 = x² + 2x + 10x + 20 {Split the middle terms using the factors}
= x( x + 2) + 10(x + 2)
= (x + 2)(x + 10)
In 2020, a magazine has 128,500 subscribers. The number of subscribers decreases by 11% each year.
Which function, S(t), represents the number of subscribers t years after 2020?
Answer
They would lose 14,080 a year so that would 14,080.
I hope that helped! :)
how to find the axis of symmetry of a parabola with two symmetric points on the parabola are (-3,5) and (7,5) show work pls
Answer:
x=2.
Step-by-step explanation:
1) if the given points are (-3;5) and (7;5), then the required axis of symmetry is vertical. Then
2) the required axis intersects the section between (-3;5) and (7;5) in its midpoint;
3) the coordinates of the midpoint above are (2;5), then the required axis is:
x=2.
12) through: (-5.-5), slope =1/5
A) 5x - y = 20
B) x - 5y = 20
C) 20x - 2y = 1
D) 5y = 2
Answer:
B) x-5y=20
Step-by-step explanation:
y-y1=m(x-x1)
y-(-5)=1/5(x-(-5))
y+5=1/5(x+5)
y=1/5x+5/5-5
y=1/5x+1-5
y=1/5x-4
1/5x-4=y
5(1/5x-4)=5y
5/5x-20=5y
x-20=5y
x-5y=20
An angle measures 67.2º more than the measure of its complementary angle. What is the measure of each angle?
Answer:
Step-by-step explanation:
three eighths times 2