Given :
The government of a foreign country has recently decided to give a tax rebate to each of its adult citizens.
The total amount the government can spend on the program is the equivalent of [tex]\$(5 \times 10^{11})[/tex]. If the adult population of the country is approximately [tex]2.29 \times 10^8[/tex].
To Find :
A good estimate of the amount of money each person will receive (in dollars).
Solution :
[tex]\text{Amount per person}= \dfrac{\text{Total amount}}{\text{Number of people}}\\\\A =\dfrac{5\times 10^{11}}{2.29\times 10^8}\\\\A = \$2183.406[/tex]
Hence, this is the required solution.
degree of polynomial x^2+2xy+y^2
Answer:
4
Step-by-step explanation:
2+2 = 4
Answer:
2
Step-by-step explanation:
x²+2xy+y²
Here x² has degree 2
2xy has degree also 2 because x has 1 degree and y has 1 degree so 1+1=2
y² has degree 2
So the highest degree of the expression is 2
2.
Ms. Lecky ordered pizza for a party. 1 5/8 of the vegetarian pizza and 2/3
of the ham and pineapple pizza were not eaten. How much pizza was left
Solve this picture problem
Answer:
5 boxes with a X on it
Step-by-step explanation:
In the accompanying diagram of triangle XYZ and triangle ABC, angle X cong angle A and angle Y cong angle B . If XY = 5 , YZ = 12 , and AB = 15 , what is BC? A 15X 5 Y12B с
Answer:
BC = 36
Step-by-step explanation:
If <X ≅ <A, and <Y ≅ B, therefore ∆XYZ is similar to ∆ABC.
Since ∆XYZ is similar to ∆ABC, it follows that the ration of their corresponding side lengths would be equal.
That is:
[tex] \frac{AB}{XY} = \frac{BC}{YZ} = \frac{AC}{XZ} [/tex]
AB = 15
XY = 5
YZ = 12
Thus:
[tex] \frac{AB}{XY} = \frac{BC}{YZ} [/tex]
Plug in the values
[tex] \frac{15}{5} = \frac{BC}{12} [/tex]
Multiply both sides by 12
[tex] \frac{15}{5}*12 = \frac{BC}{12}*12 [/tex]
[tex] \frac{15*12}{5} = BC [/tex]
[tex] 36 = BC [/tex]
The length of the segment BC is 36 and this can be determined by using similar triangle properties and the given data.
Given :
Angle X congruent to angle A and angle Y congruent to angle B. XY = 5 , YZ = 12 , and AB = 15.The following steps can be used in order to determine the length of the segment BC:
Step 1 - According to the given data, XY = 5 , YZ = 12 , and AB = 15. Also angle X congruent to angle A and angle Y congruent to angle B.
Step 2 - So, according to the given data, it can be concluded that both the triangles are similar.
Step 3 - From the above steps, it can be concluded that the corresponding sides ratios of the triangles are equal.
[tex]\rm \dfrac{AB}{XY}=\dfrac{BC}{YZ}=\dfrac{AC}{XZ}[/tex]
Step 4 - Now, substitute the values of YZ, XY, and AB in the above expression.
[tex]\rm \dfrac{15}{5}=\dfrac{BC}{12}[/tex]
Step 5 - Simplify the above expression.
BC = 36
For more information, refer to the link given below:
https://brainly.com/question/25882965
I need help with this one exercise to finish so any help would be greatly appreciated!
|4x - 3| + 10 < 2
Answer:
No Solutions
Step-by-step explanation:
for |4x -3| + 10 < 2
|4x - 3| < -8
Not possible since absolute value is positive
Riddle, do not google
A girl has as many brothers as sisters, but each brother has only half as many brothers as sisters. How many brothers and sisters are there in the family?
Answer:
family has 4 daughters and 3 sons, this one is easy
Step-by-step explanation:
Answer:
there are 3 bros and 4 sisters in the family !
The small rectangle was enlarged to create the big rectangle. A smaller rectangle has a length of 12 feet and a width of 2 feet. A larger rectangle has a length of x feet and a width of 5 feet. Not drawn to scale What is the missing measure on the big rectangle?
Answer:
the bigger rectangle = 30 x 5
Step-by-step explanation:
divide the bigger width by the smaller width to find the rate of change (2.5) and multiply both numbers (length and width) to get the larger rectangle.
Answer:
30
Step-by-step explanation:
30
The standard form of y = -x + 2 is x + y = 2.
Group of answer choices
True
False
What must be true about the sides and angles of congruent triangles?
Answer:
When two triangles are congruent they will have exactly the same three sides and exactly the same three angles. The equal sides and angles may not be in the same position (if there is a turn or a flip), but they are there.
Answer:
sides stay the same length and angles must be equal
Step-by-step explanation:
What is the slope of this line?
Answer:
1/1
Step-by-step explanation:
Find the missing number so that the equation has no solutions.
Answer: ok
Step-by-step explanation: I THINK it E2
Answer:
-6
Step-by-step explanation:
2x-8=-6x-11
PLEASE HELP!
Fill in the blank
1. 40 times the sum of 24 and 36
2. Divide the difference between 1,600 and 400 by 4
Answer:
A. The expression of "40 times the sum of 24 and 36" would be 40 x (24+36), and the value would be 2400.
B. for the words portion it would be "20 times the sum of 650 and 350", and the value of that expression is 20,000.
C. The expression of "divide the difference between 1,600 and 400 by 4" should be 1200 / 4, and if that is the correct way to format the expression then the value would be 300.
D. for the words portion it would be "100 times the sum of 78 and 12", and the value of that expression is 10,000.
Step-by-step explanation:
Answer:
40 times the sum of 24 and 36
40 × (24 + 36)
2400
20 times the sum of 650 and 350
20000
divide the difference between 1600 and 400 by 4
(1600 - 400) ÷ 4
300
100 times the sum of 78 and 12
9000
There are 80 cups of water in 5 gallons of water. What is the total number of cups of water in one half-gallon of water?
Answer:
8 cups
Step-by-step explanation:
Answer:
8 Cups
Step-by-step explanation:
The first thing you do is divide 80 by 5 and it will give you 16. It says one half gallon so 16 is for a full gallon so you will end up dividing 16 by 2 and get eight.
In baseball, a batting average is recorded to 3 decimal places, such as 0.301. This means 301 hits outs of 1 000 times at bat. How many hits in 100 times at bat would you expect each player to get?
Answer:
30
Step-by-step explanation:
1000 / 10 = 100
300 / 10 = 30
use a common factor on each of the numbers to have the be similar to the number they were before
3 1/2 + 7/5 simplified
Answer:
4 9/10
Step-by-step explanation:
3 1/2 ---- 3 5/10
7/5 ------ 14/10
3 5/10 + 14/10 = 3 19/10 ---- 4 9/10
URGENT!! DUE IN 15 MIN!!
*don't mind the answer I chose*
Two-thirds of the buses in the transit system run on natural gas, and the rest run on diesel. If 738 of the buses run on diesel, how many buses does the transit system have?
-10=-b/4 can some on pls help me
Answer:
b = 40
Step-by-step explanation:
The first step you have to do is multiply 4 on each side to cancel out the 4 under -b, so you can get b by itself.
4 x -10 = -b x 4 should get this -40 = -b
4
Now the final step is to divide -1 on each side to cancel out the negative by b, thus getting b by itself. Then once that is done you will see that your answer is b=40.
-40 = -b should get this 40=b or b=40
-1 -1
Hope this helped!
What is the solution of the system
of equations?
2x + 5y = 20
y=-2/5x-1
Answer: the answer is A
Step-by-step explanation
I Took The Quiz
You are traveling in a car and you want to know how long it will take you to reach your destination. You will travel 220 miles at an average speed of 55 miles per hour. Use the distance formula D=r•t , to determine how much time, t, in hours it will take you to get there
Answer:
You will get there in 4 hours
Step-by-step explanation:
Use the distance formula D=r•t , to determine how much time, t, in hours it will take you to get there
Where D = Distance
r = rate = Average Speed
t = time in hours
From the question
D = 220 miles
t = ??
r = 55 miles/hour
Hence:
220miles = 55miles/hour × t
t = 220/55
t = 4 hours
You will get there in 4 hours
The arithmetic sequence a_ia i a, start subscript, i, end subscript is defined by the formula: a_1 = 15a 1 =15a, start subscript, 1, end subscript, equals, 15 a_i = a_{i - 1} -7a i =a i−1 −7a, start subscript, i, end subscript, equals, a, start subscript, i, minus, 1, end subscript, minus, 7 Find the sum of the first 660660660 terms in the sequence.
Answer:
-1,512,390
Step-by-step explanation:
Given
a1 = 15
[tex]a_i = a_{i-1} -7[/tex]
Let us generate the first three terms of the sequence
[tex]a_2 = a_{2-1}-7\\a_2 = a_1 - 7\\a_2 = 15-7\\a_2 = 8[/tex]
For [tex]a_3[/tex]
[tex]a_3 = a_{3-1}-7\\a_3 = a_2 - 7\\a_3 = 8-7\\a_3 = 1[/tex]
Hence the first three terms ae 15, 8, 1...
This sequence forms an arithmetic progression with;
first term a = 15
common difference d = 8 - 15 = - -8 = -7
n is the number of terms = 660 (since we are looking for the sum of the first 660 terms)
Using the formula;
[tex]S_n = \frac{n}{2}[2a + (n-1)d]\\[/tex]
Substitute the given values;
[tex]S_{660} = \frac{660}{2}[2(15) + (660-1)(-7)]\\S_{660} = 330[30 + (659)(-7)]\\S_{660} = 330[30 -4613]\\S_{660} = 330[-4583]\\S_{660} = -1,512,390[/tex]
Hence the sum of the first 660 terms of the sequence is -1,512,390
Which of the following graphs represents a function? Choose all that apply.
Answer:
d
Step-by-step explanation:
For what value of a does the equation 3x+5=Ax+5
A basketball player for the Seattle Supersonics averages about 2 three-pointers for every 5 he shoots. If he attempts 10 three-pointers in a game,
how many would you expect him to make ?
a
8
b
25
c
4
d
5
Answer:
C. 4
Step-by-step explanation:
If he makes 2 for every five then he will make 4 for every 10 he shoots
A baby is weighed on a defective scale. He weighed 28 pounds according to the scale. He weighs 25 pounds on an effective scale. What is the percent error?
Answer:
10.7%Step-by-step explanation:
Step one:
given
expected weight= 28pounds
Actual weight= 25 pound
Required:
percent error
[tex]\delta = \left| \frac{v_A - v_E}{v_E} \right| \cdot 100\%[/tex]
δ= percent error
vA =actual value observed
vE =expected value
δ=25-28/28*100
δ=-3/28*100
δ=0.107*100
δ=10.7%
The percent error is 10.7%
WHAT IS THE SOLUTION TO THIS LINEAR SYSTEM?
What is 38% of 96? just need someomne to walk me through it plz
Answer:
37.24
Step-by-step explanation:
ok so there's a strategy I got taught ready?
100%- 96.
38%-x
~cross multiply~
100x= 3724
÷100 ÷100
________________
x=37.24
Hope this helps :D p.s- i recommend using this strategy :D
Answer:
38.96
Step-by-step explanation:
Ok so its hard to explain but 38% u move the percent sign 2 times to the left and then u get 38. then u put 96 as the decimal there it is!
ILL GIVE BRAINLIST
Explain how you might go from gallons to cups using more than one conversion factor.
Answer:
13
Step-by-step explanation:
Answer:
Remember this conversion factor:
1 U.S. customary cup = 0.0625 U.S. gallons
Step 2:
Let's pretend that you are converting 100 cups to gallons. To do this, simply multiply the number of cups you have by 0.0625 like so:
100 cups x 0.0625 gallons/cup
Solution
100 cups x 0.0625 gallons/cup = 6.25 gallons
Step-by-step explanation:
The coordinate plane has the following points A=(2, 1), B=(5, 1), C=(7,2), and 1 point
D=(4,2). What is the length of CD?
Answer:
d = 3
Step-by-step explanation:
Coordinate Plane
The image provided shows the four points given:
A=(2, 1), B=(5, 1), C=(7,2), D=(4,2).
It can be clearly seen the length of CD is just the difference of their x-coordinates:
CD = 7 - 4 = 3
We can also use the formula of the distance.
Given two points C(x,y) and D(w,z), the distance between them is:
[tex]d=\sqrt{(z-y)^2+(w-x)^2}[/tex]
[tex]d=\sqrt{(2-2)^2+(7-4)^2}[/tex]
[tex]d=\sqrt{0^2+3^2}[/tex]
[tex]d=\sqrt{9}[/tex]
d = 3
Please help me with this question, I will really appreciate it.
Answer:
Is that army I spot here?
Step-by-step explanation: