Answer:
61464
Step-by-step explanation:
61464 ~ 61460 to the nearest ten
61464 ÷ 4 = 15366
61464 is an even number
The number is 61464
What is Number system?A number system is defined as a system of writing to express numbers.
When a number is rounded to the nearest ten, the number is 61 460.
61464 ~ 61460 to the nearest ten
When the number is divisible by 4
61464 ÷ 4 = 15366
The digit sum is even
61464 is an even number
Hence, the number is 61464
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the ratio of the surface area of two similar solids is equal to the square root of the ratios between their corresponding edge lengths. True or False
Answer:
False
Step-by-step explanation:
Just trust me on this
Answer:
The correct answer is False
Step-by-step explanation:
In △ABC, AD is the angle bisector of ∠A and BE is the angle bisector of ∠B. If AD intersects BE at point O, find m∠AOB given the following: b m∠A = 125°, m∠B = 33° quick I will give brainliest, need in 5 minutes!
Answer:
∠AOB = 101°
Step-by-step explanation:
Given:
AD is the angle bisector of ∠A
BE is the angle bisector of ∠B.
∠A = 125°
∠B = 33°
Find:
∠AOB
Computation:
∠BAO = 125° / 2 = 62.5°
∠ABO = 33°/2 = 16.5°
So,
∠AOB + ∠BAO + ∠ABO = 180°
∠AOB + 62.5° + 16.5° = 180°
∠AOB = 101°
Use the drawing tool(s) to form the correct answer on the provided graph.
Graph the inverse of the line provided on the graph.
Answer: Slope 1/4 therefore slope of new line would be -1/4
Step-by-step explanation:
The points of the inverse of the line provided on the graph are as under:
x=2,y=5
x=0,y=-5
x=1,y=0
What is the inverse of a line?
It means interchanging the values of x with the values of y and form a line which is known a inverse of a line.
How to graph the inverse of a line?firstly point out the points from the graph given in the question as in the graph1 below
now by interchanging the values we get the values of inverse of the line as in the graph 2
By plotting these points on the graph we get the inverse of the line which is in the graph 3
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-b -b +5 pls show work and solve
Answer:
Step-by-step explanation:
-b -b +5
= -2b + 5
Simplify as a ratio: 100:199:47
Answer:
Find GCF of all values in the given ratio
GCF(100, 199, 47) = 1
When GCF value is equal to 1, the given ratio can not be simplified.
Step-by-step explanation:
It cant be simplified
Answer:
100:199:47
Step-by-step explanation:
The ratio cannot be simplified.
The numbers 199 and 47 are prime numbers, and only have the factors of 1 and themselves.
Calculate the length of the unknown side of this right-angled triangle.
9 cm
17 cm
Answer:
14.4 cm
Step-by-step explanation:
Answer:
4√13
Step-by-step explanation:
Let's call the missing side length x
The given is a right triangle and in right triangle the square
length of hypotenuse is equal to square sum of other two side lengths
17^2 = 9^2 + x^2
289 = 81 + x^2 subtract 81 from both sides
208 = x^2
4√13 = x
which of the following does NOT represent a function ?
Answer:. C is not a function.
Step-by-step explanation: If there is more than one y-value for each x-value, it can't be a function. The elipse has two y-values for each x.
Answer:
It will be the third option.
Step-by-step explanation:
Can someone please Simplify -|-5 + 2|
Answer:
_|_5+2|
=_|_3|
=_3
is answer.
A coin is tossed and a number cube is rolled. What is the probability that the coin shows heads and the number cube shows 5? a. 1/6 b. 1/12 c. 2/3 d. 1/4
Answer:
1/12
Step-by-step explanation:
P( coin = heads) = number of heads / total = 1/2
P( cube = 5) = number of 5's / total =1/6
P( heads, 5) =1/2 * 1/6 = 1/12
The coin toss and the number cube roll are independent events.
This is because the result of the coin toss does
not affect the result of the number cube roll.
To find the probability of two independent events, we first find the probability of each event, then we multiply the probabilities.
Since there is only one way to get heads when tossing a coin and there are 2 possible outcomes, tossing a heads or tails, the probability of getting heads is 1/2.
Since there is only one way to roll 5 on a number cube, there
is 1 favorable outcome but six possible outcomes.
So the probability of rolling a 5 is 1/6.
Now multiply.
So we have 1/2 · 1/6 which is 1/12.
Give the starting value a, the growth factor b, and the growth rate r if Q = abt = a(1 + r)t Write r as a percent. Q = 1750 (1.593) Superscript t a. a = 1750 b = 1.593 r = 0.593% c. a = 2787.75 b = 2.5376 r = 0.593% b. a = 1750 b = 1.593 r = 59.3% d. a = 2787.75 b = 1.593 r = 59.3%
Answer:
Option b.
Step-by-step explanation:
If the starting value a, the growth factor b, and the growth rate r, then
[tex]Q=ab^t=a(1+r)^t[/tex] ...(1)
It is given that
[tex]Q=1750(1.593)^t[/tex] ...(2)
On comparing (1) and (2), we get
[tex]a=1750, b=1.593[/tex]
Now, equation (2) can be rewritten as
[tex]Q=1750(1+0.593)^t[/tex] ...(3)
On comparing (1) and (2), we get
[tex]r=0.593[/tex]
[tex]r=(0.593\times 100)\%[/tex]
[tex]r=59.3\%[/tex]
Therefore, the correct option is b.
Juan did a survey in four butterfly parks and wrote the following observations: Butterfly Park Survey Park Number of Pink Butterflies Total Number of Butterflies P 25 53 Q 35 64 R 37 75 S 23 55 Based on the survey, which park had the greatest percentage of pink butterflies? Park P Park Q Park R Park S
Answer:
Park Q has greatest percentage of pink butterflies.
Step-by-step explanation:
Butterfly Park Survey Park P Q R S
No, of Pink Butterflies 25 35 37 23
Total Number of Butterflies 53 64 75 55
Now we are supposed to find which park had the greatest percentage of pink butterflies
So, Percentage of pink butterflies in park P =[tex]\frac{25}{53} \times 100=47.169\%[/tex]
Percentage of pink butterflies in park Q =[tex]\frac{35}{64} \times 100=54.68\%[/tex]
Percentage of pink butterflies in park R= [tex]\frac{37}{75} \times 100=49.33\%[/tex]
Percentage of pink butterflies in park S= [tex]\frac{23}{55} \times 100=41.81\%[/tex]
So, Park Q has greatest percentage of pink butterflies.
So, Option B is true
Hence Park Q has greatest percentage of pink butterflies.
Mary took out a loan to buy a $30,000 boat but had $2,000 cash to put down. Which of the following is true?
a. Mary decreased both assets and liabilities.
b. Mary increased both assets and liabilities.
C. Mary decreased assets and increased liabilities.
d. Mary increased assets and decreased liabilities.
Please select the best answer from the choices provided
A
B
С
D
Tom and Jerry are selling fruit for a charity fundraiser. Customers can buy small boxes of oranges and large boxes of oranges. Tom sold 3 small boxes of oranges and 14 large boxes of oranges for a total of $203. Jerry sold 11 small boxes of oranges and 11 large boxes of oranges for a total of $220. Find the cost each of one small box of oranges and one large box of oranges. Please use equations to solve the problem.
Step-by-step explanation:
3x + 14y = 203
2. 11x + 11y = 220
3. Divide the last equation above by 11: x + y = 20
4. This is the same as saying x = 20 - y
5. Now, substitute for x in the first equation: 3(20 - y) + 14y = 203
6. The above equation simplifies to 60 - 3y + 14y = 203
7. Now express the equation in terms of y: 11y = 143
8. From the last equation, y = 13
9. Since x + y = 20, x = 7
10. Check: (3 times 7) + (14 times 13) = 21 + 182 = 203;
(11 times 7) + (11 times 13) = 77 + 143 = 220
One small box of oranges costs is $[tex]7[/tex].
One Large box of oranges costs is $[tex]13[/tex].
Cost Price:
Cost price is the total amount of money that it costs a manufacturer to produce a given product or provide a given service. A cost price includes all outlays that are required for production, including property costs, materials, power, research and development, testing, worker wages, and anything else that must be paid for.
Tom sold 3 small boxes and 14 large boxes of orange for a total of $[tex]203[/tex]
[tex]\Rightarrow 3S+14L=203......(1)[/tex]
Jerry sold [tex]11[/tex] small boxes and [tex]11[/tex] large boxes of oranges for a total of $[tex]220[/tex]
[tex]\Rightarrow 11S+11L=220.....\left ( 2 \right )[/tex]
Solving equations (1) and (2), we get;
[tex]L=\frac{1573}{121}=13 \\ L=13[/tex]
Substitute [tex]L=13[/tex] in equation (2)
[tex]\Rightarrow 11S+11(13)=220[/tex]
[tex]S=\frac{77}{11}=7[/tex]
[tex]\therefore[/tex] One small box of oranges costs is $[tex]7[/tex].
One Large box of oranges costs is $[tex]13[/tex].
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There are crows and groundhogs in a field. All of them together have 15 heads and 40 legs. How many of each animal are in the field?
Answer:
10 crows and 5 ground hogs
Step-by-step explanation:
10 ×2 is 20 because crows have 2 legs then we do 5×4 which is 20 because ground hogs have 4 legs 10 +5 equals 15 because each animal has one head
FIRST GETS BRAINLLEST If each 2 cm on the scale drawing below equals 8 feet, what is the actual length of the green line? 16ft 18ft 19.5 ft 21 ft
Answer: The correct answer is 18ft
Step-by-step explanation:
Answer:
16 ft
Step-by-step explanation:
If you simply the ratio of 2/8 it becomes 1/4
This means that it has to be a multiple of 4
and distance of the last ramp is ______ feet (round to the nearest foot)
Answer:
The distance of the last ramp is 10 feet.
Step-by-step explanation:
From the options and the question, I assume that the height of the ramp is 6 feet. Pythagorean theorem states:
a² + b² = c²
where c is the hypotenuse, and a and b are the legs of the triangle. In this case:
6² + 8² = x²
√100 = x
10 ft = x
I only need help step by step solution for question#40 and #44
the link is not working :(
Determine the area of the given kite. ANSWERS: 342 square units 2520 square units 5040 square units 684 square units
Answer: 342 square units
Step-by-step explanation:
Area of a kite = pq / 2 ( where PQ represents both diagonals)
Area = (38 x 18) / 2
Area = 684 / 2
Area = 342
What is the equation of the parabola?
A. y=-1/8x^2+5
B. y=1/8x^2+5
C. y=1/8x^2-5
D. y=-1/8x^2-5
Answer:
The answer is option B.
y = 1/8x² + 5
Hope this helps you
linear inequality: solve -4x+2
Answer:
x≤-6
Step-by-step explanation:
-4x+2≥ 26
Subtract 2 from each side
-4x+2-2 ≥ 26 -2
-4x ≥ 24
Divide by -4 remembering to flip the inequality
-4x/-4 ≤-24/-4
x≤-6
Answer:
B. x ≤ -6
Step-by-step explanation:
-4x + 2 ≥ 26
Subtract 2 on both sides.
-4x ≥ 26 - 2
-4x ≥ 24
Divide -4 on both sides.
x ≤ 24/-4
x ≤ -6
Solve for x in the diagram.
Answer:
x = 15
Step-by-step explanation:
Using Pythagorean Theorem
=> [tex]c^2 = a^2+b^2[/tex]
Where c= x, a = 12, b = 9
=> [tex]x^2 = (12)^2+(9)^2[/tex]
=> [tex]x^2 = 144+81[/tex]
=> [tex]x^2 = 225[/tex]
Taking sqrt on both sides
=> x = 15
Does this table represent a function? why or why not?
Answer:
I think it's A but I could be wrong
Answer: B
Step-by-step explanation:
A graph or table is a function if it passes the vertical line test. That means, each x and only 1 y. One x cannot have more than 1 y because, that means it does not pass the veritcal line test. In the vertical line test, the vertival line only passes through 1 point, not 2. Since we know that this graph does not pass the vertical in test, we can eliminate C and D. We can eliminate A because 2 y-values can be the same as lone as there have different x. B fits the description of what we see on the table. Therefore, the answer is B.
Struggling!!! Math help plss!!!
Answer:
Step-by-step explanation:
Write an equation of the line passing through the point (7,3) that is parallel to the line 4x-7y=9
Answer:
y = -7/4x + 61/4
Step-by-step explanation:
Step 1: Write equation in slope-intercept form
-7y = 9 - 4x
y = 4/7x - 9/7
Step 2: Find slope of perpendicular line
Take the negative reciprocal of the 1st equation
m = -7/4
Step 3: Write out known variables
y = -7/4x + b
Step 4: Find b
3 = -7/4(7) + b
3 = -49/4 + b
b = 61/4
Step 4: Rewrite equation
y = -7/4x + 61/4
The point (2,-5) is reflected over the y-axis. Which of the following points is the image?
(-2,5)
(-2,-5)
(2,-5)
(2,5)
is question 5 right? ignore number 6 i couldn’t crop it out of the picture but please help! i’ll give brainliest :)
Answer:
-47 > 1 - 8x > -63
-48 > -8x > -64 (subtract 1 from -47 and -63)
6 < x < 8 (divide inequality by -8; when you multiply/divide by a negative number you need to flip the sign)
Answer:
its wrong because when u moved the 8 to other side it would be positive. And u didnt switch sign for the 6
Step-by-step explanation:
-47 > 1-8x > -63
Seperate them into two inequalities
-47> 1-8x
Move 1 to the other side it will become -1
-47-1>-8x
-48>-8x
Divide -8 on both sides which will make the sign opposite because dividing with a negative number
6<x
1-8x>-63
Subtract 1 on both sides
-8x>-64
Divide -8 on both sides which will switch sign
x<8
hi:) I need help with part 9(ii) ? Thanks :)!
Answer:
see explanation
Step-by-step explanation:
Given
2BD = 7BT , then
2(d - b ) = 7(t - b) ← distribute both sides
2d - 2b = 7t - 7b ( add 7b to both sides )
2d + 5b = 7t, thus
2[tex]\left[\begin{array}{ccc}10.5\\10\\\end{array}\right][/tex] + 5[tex]\left[\begin{array}{ccc}0\\3\\\end{array}\right][/tex] = 7t
[tex]\left[\begin{array}{ccc}21\\20\\\end{array}\right][/tex] + [tex]\left[\begin{array}{ccc}0\\15\\\end{array}\right][/tex] = 7t
[tex]\left[\begin{array}{ccc}21\\35\\\end{array}\right][/tex] = 7t , thus
t = [tex]\frac{1}{7}[/tex][tex]\left[\begin{array}{ccc}21\\35\\\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}3\\5\\\end{array}\right][/tex]
Hence T = (3, 5 )
Answer:
Please see the attached pictures for the full solution.
We reject x= -3 since x has to be between x=0 and x=10.5 since T lies on line BD.
We reject y= 1 since the y value has to be between 3 and 10 for T to lie on line BD.
Useful formula:
gradient=(y1-y2)/(x1-x2)
Further explanation:
1st picture, from line 12 to 13: cross multiply
line 14: expand
line 15: bring 9 over (or +9 on both sides)
line 16: ÷3 throughout
last picture: we have to show '(reject)' because whenever we introduce a square root, there must be a '±' sign.
For two months, Milan used the same landscaping maintenance company. The company had a fixed reservation rate per month, plus an hourly rate for the amount of time that is spent on landscaping work. Milan received two bills from the landscaping company. The first bill was $120.75 for 2.75 hours of
landscaping work and the second bill was $160.50 for 5.25 hours of landscaping work. Find the equation of the line that represents the landscaping company's fixed reservation rate and charge per hour. Round to the nearest cent, if necessary.
Answer:
The equation of the line that represents the landscaping company's fixed reservation rate and charge per hour is y=15.9x+77.025
Step-by-step explanation:
The first bill amount for 2.75 hours of landscaping work = $120.75
The second bill amount for 5.25 hours of landscaping work = $160.50
No we are supposed to find the equation of the line that represents the landscaping company's fixed reservation rate and charge per hour
So, we will us two point slope form to find the equation:
Formula : [tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex](x_1,y_1)=(2.75,120.75)\\(x_2,y_2)=(5.25,160.50)[/tex]
Substitute the values in the formula
[tex]y-120.75=\frac{160.50-120.75}{5.25-2.75}(x-2.75)\\y=15.9x+77.025[/tex]
Hence the equation of the line that represents the landscaping company's fixed reservation rate and charge per hour is y=15.9x+77.025
59. A car dealership has SUVs and sedans in a ratio of
5:9. How many sedans does the car dealership
have if there are 140 SUVs?
Answer:
The car dealership has 252 sedans.
Step-by-step explanation:
Number of SUVs = 140
Ratio of SUVs to sedans = 5:9
Sum of ratios = 5+9 = 14
Total number of cars = 14/5 × 140 = 392
Number of sedans = 9/14 × 392 = 252
Which are correct representations of the inequality -3(2x - 5) <5(2 - x)? Select two options.
Answer:
The third and fourth options.
Step-by-step explanation:
You simplify the inequality first...
-6x + 15 < 10 - 5x
-x < -5
x > 5
The first option is incorrect since it is less than.
The second option is basically -5x < 15; x > -3; that's incorrect.
The third option is basically -x < -5; x > 5; that is correct!
The fourth option is correct since it shows more than 5.
The fifth option is incorrect because it shows less than -5.
Hope this helps!
Answer: The answer is C and E
Step-by-step explanation:
Hope this helps;)