Answer:
2000 times 3.5% is 70, so in one year you would have 2070 dollars. 3.5 divided by 3 is about 1.16 (the six repeats), so for the next 1/3 year you would do 2070 times 1.16 percent which is 30. So, then, 2070 plus 30 is 2100 dollars in the saving account.
In the figure below, APE and EPD are congruent.
What is the arc measure of BAD on circle P in degrees?
Answer:
arc BAD = 244°
Step-by-step explanation:
The sum of the angles around the centre of the circle = 360°, thus
∠APD = 360° - (136 + 74 + 42)° = 360° - 252° = 108°
The angle at the centre is equal to the arc that subtends it, thus
arc BAD = arc BA + arc AD = 136° + 108° = 244°
The requried measure of arc BAD on circle P is given as 244°.
What are the angle?Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.
The Arc of the whole circle measures, 2π = 360°,
Angle ∠APD is given as
∠APD = 360° - (136 + 74 + 42)°
∠APD = 360° - 252° = 108°
The angle at the center is equal to the arc that subtends it, thus
Arc BAD = Arc BA + Arc AD
Arc BAD = 136° + 108° = 244°
Thus, the requried measure of arc BAD on circle P is given as 244°.
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The product of Jack's age and Florence's age is 266. Jack is 14 years
old. How old is Florence?
Answer:
19
Step-by-step explanation:
you divide 266 by 14
Answer:
19
Step-by-step explanation:
266 ÷ 14 = 19
Jessie lives in a farm and only has 2 animals, chickens and rabbits. One day he decided to count the total number of heads and legs of his animals. He told his friends that there were 30 heads and 76 legs in all.
How many chickens does Jessie have on his farm?
How many rabbits does Jessie have on his farm?
Let x represent number of rabbits and y represent number of chickens.
We have been given that Jessie told her friends that there were total 30 heads for both animals. This means that there are total 30 animals.
[tex]x+y=30...(1)[/tex]
[tex]y=30-x...(1)[/tex]
We have been given that Jessie only had chicken and rabbits. We know that a rabbit has 4 legs, so total number of legs for x rabbits would be [tex]4x[/tex].
We know that a chicken has 2 legs, so total legs of y chickens would be [tex]2y[/tex].
Since all animals has 76 legs in all, so we can represent this information in an equation as:
[tex]4x+2y=76...(2)[/tex]
Upon substituting equation (1) in equation(2), we will get:
[tex]4x+60-2x=76[/tex]
[tex]2x+60=76[/tex]
[tex]2x+60-60=76-60[/tex]
[tex]2x=16[/tex]
[tex]\frac{2x}{2}=\frac{16}{2}[/tex]
[tex]x=8[/tex]
Therefore, Jessie have 8 rabbits on his farm.
Number of chickens would be [tex]y=30-x\Rightarrow 30-8=22[/tex].
Therefore, Jessie have 22 chickens on his farm.
I will mark brainliest to first correct answer!
Answer:
C
Step-by-step explanation:
Answer:
B.
Step-by-step explanation:
Solve 2x+7>+x +19
and can you do the same if 2 was 3.
2nd question is write an expression if 3 was open inequality and line continues past negative 5
Answer:
Step-by-step explanation:
Original problem:
2x + 7 > x + 19
Subtract x from both sides.
x + 7 > 19
Subtract 7 from both sides.
x > 12
Problem with 3 instead of 2.
3x + 7 > x + 19
Subtract x from both sides.
2x + 7 > 19
Subtract 7 from both sides.
2x > 12
Divide both sides by 2.
x > 6
2nd question (I'm not sure I understand it correctly.)
x < 3
Solving 2x + 7 > x + 19
2x + 7 > x + 19
Move 7 by subtracting from both sides.
2x > x + 19 - 7
2x > x + 12
Move x by subtracting from both sides.
2x - x > 12
x > 12
Therefore, x is greater than 12.
Solving 3x + 7 > x + 19
3x + 7 > x + 19
Move 7 by subtracting from both sides.
3x > x + 19 -7
3x > x + 12
Move x by subtracting from both sides.
3x - x > 12
2x > 12
Divide 2 on both sides to get x.
2x/2 > 12/2
x > 6
Therefore, x is greater than 6.
Part 2:
Write an expression for if 3 was open inequality and line continues past negative 5. This may not be correct due to the vagueness of what it's asking.
Expression: x < -5 < 3
x indicates all real numbers less -5
3 is open inequality and is the greatest
The 2nd question is like really vague.
Find the missing angle measurements
Answer:
The angle for the top of the triangle is 79. For the right corner would be 56. Then going to the bottom of the blue triangle vertice would be 75. The missing angle next to that one would be 55/
Step-by-step explanation:
Find the value of x and y
Answer:
x=24 y=19
Step-by-step explanation:
2y=y+19
y=19
2x-8=x+16
x=16+8
x=24
Answer:
x = 24
y = 19
Step-by-step explanation:
Set the expressions with the x-variables together, and the y-variables together, like so:
2x - 8 = x + 16
Subtract x from both sides:
x - 8 = 16
Add 8 to both sides:
x = 24
Solving for y:
2y = y + 19
Subtract y from both sides:
y = 19
Which of the following statements best describes the value of the expression 12x + 2 when x = 9?
(HELP IM ON A TEST)
answering is c
Step-by-step explanation:
12×9=108
108+2=110
Answer:
c
Step-by-step explanation:
What is the value of s?
units
0
5
В
8
15
S
D
Consider the triangle ABD,
Here,
AB = 5
BD = 15
AD = s
As we know,
In a triangle, the sum of lengths of two sides is greater than the third side.
So,
[tex]5 + 15 > s[/tex]
[tex]15 + s > 5[/tex]
[tex]s + 5 > 15[/tex]
Now,
To satisfy the equation, the value of s can possibly be 11, 12, 13, 14, 15, 16, 17, 18, 19
Answer: the value of s is 17 units
Step-by-step explanation: youre welcome
Can someone helpppppppppp
Answer:
A
Step-by-step explanation:
The reason it is A is because
It goes in biggest to lowest A B C D
C and B don't follow that so we are left with A and D
In answer D C and B are too close in percentage therefore it cannot be D
Therefore your answer is A
Hope this helped!
I need help.! ASAP PLEASE
Answer: The answer is 9
Step-by-step explanation:
It is 9 because 3x3x3x3 is basically 9x9 and 9x9 is 81, so 81 is the numerator. Then we gat to the denominator, which is 3x3 and 3x3 is 9. So the new fraction you get is 81/9, which is basically 81 divided by 9. 81 divided by 9 is 9.
Answer:
9
Step-by-step explanation:
Subtract 2 from the 4 exponents on the numeral, then multiply that exponent, which would be 3×3=9 .
100 to anyone who can answer all of these !!!
Answer:
24yrds is (a) 24.12yrds is (b) 64yrds is (c) And that's all i can do, don't get mad at me please.
Step-by-step explanation:
50 POINTS HELP ASAP
Answer:
its 10 points not 50
Step-by-step explanation:
BEST ANSWER GETS BRAINLIEST. HELP PLSSSSS.
Write an equation to match each graph:
Answer:
that is all the work because i couldnt type it out.
Step-by-step explanation:
hope that helped!
What is the lateral area of the cone to the nearest whole number? The figure is not drawn to
scale.
15,080 m2
25,133 m2
45,239 m2
50,265 m2
Answer:
The lateral surface area of the cone is [tex]25120\ m^2[/tex].
Step-by-step explanation:
We have.
Height of a cone is 60 m
Diameter of a cone is 10 m
Radius, r = 80 m
The lateral surface area of a cone is given by :
[tex]A=\pi rl[/tex]
l is slant height of the cone,
[tex]l=\sqrt{60^2+80^2} =100\ m[/tex]
Plugging all values in above formula,
[tex]A=3.14\times 80\times 100\\\\A=25120\ m^2[/tex]
So, the lateral surface area of the cone is [tex]25120\ m^2[/tex].
HELP PLEASE!!!!!
Predict how many times you will roll a number less than 5 if you roll a standard number cube 350 times. Round to the nearest integer, if necessary.
Answer:
233 Times
Step-by-step explanation:
In a standard cube, there are 6 faces labelled 1 to 6.
Numbers less than 5=1,2,3,4
The probability of rolling a number less than 5 =4/6
Therefore, if the standard number cube is rolled 350 times.
Number of Expected Outcome Less than 5
[tex]=\dfrac{4}{6}X350[/tex]
[tex]=233.33\\\approx 233$ (to the nearest integer)[/tex]
We would roll a number less than 5 233 times.
A sporting goods company sells a tent with the dimensions shown. The company wants to introduce a new, larger tent that is geometrically similar to the original tent but with a height of 6 feet. How will the volume of the new tent compare with the volume of the original tent?
Answer:
The volume of the new tent will be 3/2 times the volume of the original
Step-by-step explanation:
The original tent is a triangular prism, which missing dimensions of the tent are:
base (b): 6 ftheight (h): 4 ftlength (l): 7 ftVolume of the original tent:
V = 1/2*b*h*l
The only difference between the new and the original tent are their heights. Let's call h' = 6 ft to the height of the new tent.
Volume of the new tent:
V' = 1/2*b*h'*l
Dividing V' by V:
V'/V = (1/2*b*h'*l)/(1/2*b*h*l)
V'/V =h'/h
Replacing with data:
V'/V =6/4
V' = 3/2*V
Fill out the following table.
Do you see a pattern? Do you think this will always be true? Why or why not?
Answer:
I had the same question just without the why or why not, But it will always be true :)
Step-by-step explanation:
Hope It Helps :)
Bus a and bus b leave the bus depot at 6pm bus A takes 20 minutes to do its route and bus B takes 45 minutes to complete its route at what time are they both back at the bus depot together
Give your answer as a 12-hour clock time
Answer:
9:00pm
Step-by-step explanation:
20 + 20 + 20 +20 + 20 + 20 + 20 + 20 +20 = 180
45 + 45 + 45 + 45 = 180
Bus A would've taken 9 routes and Bus B would've taken 4, to reach the bus depot together
180 mins - hours = 3 hours
6 + 3 = 9
A rectangle has a height of 7a^2 and a width of a^4+5a^2+4.
Express the area of the entire rectangle.
Help please!!!! ;-; staph scrolling
[tex]y = 4^x \quad \to\quad y = - \frac 2 3 (4^{x+7}) - 5[/tex]
[tex]y=4^x[/tex]
OK, we'll go in steps. First a reflection through the x axis, which negates y.
[tex]y = -4^x[/tex]
Now a vertical scaling of 2/3
[tex] y = -\frac 2 3 \cdot 4^x[/tex]
Now we shift seven units to the right,
[tex] y = -\frac 2 3 \cdot 4^{x+7}[/tex]
Now down five,
[tex] y = -\frac 2 3 \cdot 4^{x+7} - 5[/tex]
There it is.
Answer: reflection thru x axis, vertical scale 2/3, right shift 7, down 5, second choice
Need Help Please, Stressing out :( and Thank you:)
Answer:
please don't be stressed :)
2. c
Step-by-step explanation:
2. if 1,000 is one kilogram then 1,412 = 1.412.
sorry i could only answer 1 but hope this helps
Fill in the blank. Given O below, you can conclude that so is congruent to
A. WA
B. WR
C. 0O
D. AO
Answer:
you never showed the graph so if this is it the answer is ao
Step-by-step explanation:
1
Which expression is equivalent to 24 3?
O 213
23/3
276
23/6
please help!
Answer:
B 2 [tex]\sqrt[3]{3}[/tex]
Step-by-step explanation:
24 ^ 1/3
WE know that (ab) ^ c = a^ c * b*c
24 ^ 1/3 = 8^1/3 * 3 ^1/3
= 2 * 3 ^1/3
The value of equivalent expression is,
⇒ 2∛3
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
Expression is,
⇒ [tex]24^{\frac{1}{3} }[/tex]
Now, We can simplify as;
⇒ [tex]24^{\frac{1}{3} }[/tex]
⇒ [tex](8 * 3)^{\frac{1}{3} }[/tex]
⇒ [tex](2^{3} * 3)^{1/3}[/tex]
⇒ 2∛3
Thus, The value of equivalent expression is,
⇒ 2∛3
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The shaded numbers show a pattern in the multiplication table. Which
expression can find the number that comes next in the pattern?
Xo 1 2 3 4 5
0 0 0 0 0 0 0
10 1 2 3 4 5
2 0 2 4 6 8
3 0 3 6 9 12
4 0 4 8 12 16
5 0 5 10 15 20 25
25 X4
25 + 11
25 +
1
25 +1
25 x 6
25 x 6
Answer:
25 + 11
Step-by-step explanation:
As it is summing up by odd numbers
so 16+9 is 25
and then 25 + 11 as eleven is the next odd number after 9
Answer: 25+11
HOPE THIS HELPS
Write the equation of the circle P graphed below.
Which statement about the credibility of this source is most accurate ? A.
Answer:
C. The source is credible because it contains facts and information that are accurate.
Step-by-step explanation:
The statistics(60%) used provide facts on the topic that make the source credible4) The diameter of a circle is 32m. The radius is represented by 4(x + 2).
Part A: Write an equation you can use to find the value of x.
Part B: What is the value of x?
Answer:
The value of x is 2
Step-by-step explanation:
Diameter = 2r -------------------------------------------------------------------(1)
where r is the radius
The value of the diameter = 32 m and radius is given to be 4(x+2)
substitute the above into equation (1) and then solve for x
32 = 2 [ 4(x + 2)]
first open the inner bracket
32 = 2[4x + 8}
then open the outer bracket
32 = 8x + 16
subtract 16 from both-side of the equation
32 - 16 = 8x +16 - 16
16 = 8x
Divide both-side of the equation by 8
16/8 = 8x/8
2 = x
x = 2
Therefore, the value of x is 2
Segments AB, DC and Ec intersect at point C. Angel DCE measures 148. Find the value of x.
The image is attached.
Answer:
x = 16°
Step-by-step explanation:
Segment AB, segment DC and segment EC all intersect at point C.
Here, we are told angle DCE measures 148°.
This is a semi-circle, and the total angle of a semi-circle is 180°.
Which means, x+x+148 = 180
Solving for x, we have:
x+x+148 = 180
2x + 148 = 180
2x = 180 - 148
2x = 32
[tex]x = \frac{32}{2}[/tex]
x = 16°
The value of x is 16°
pls help will mark as brainliest
Answer:
C
Step-by-step explanation:
Answer:
D cannot be used. first 3 are correct
Step-by-step explanation: