Answer:
A. -5 - 3x >10
Step-by-step explanation:
-5 - 3(-6) >10
-5 + 18 >10
13 >10
Complete the following proof.
Answer:
BD = CA ⇒ Proved down
Step-by-step explanation:
From the given figure
∵ AB and CD are diameters in circle O
∴ OB = OA = OC = OD ⇒ radii
∵ AB ∩ CD at O
∴ ∠BOD and ∠COA are vertically opposite angles
∵ The vertically opposite angles are equal in measures
∴ m∠BOD = m∠COA
→ In Δ OBD and Δ OCA
∵ m∠BOD = m∠COA ⇒ vertically opposite angles
∵ OB = OC ⇒ radii
∵ OD = OA ⇒ radii
∴ Δ OBD and Δ OCA are congruent by SAS postulate
→ From congruency
∴ BD = CA
Question 8
1 pts
Salvador earns $13.00 per hour. If he works more than 40 hours a week
he earns time and a half. This week he worked 7 hours of overtime. How
much overtime pay did he receive?
Answer:
$136.50
Step-by-step explanation:
Time and a half = 13.00 + (13 × 1/2)
Time and a half = 13.00 + 6.50
Time and a half = $19.50
If he works 7 hours of overtime, and overtime means getting paid time and a half, we would multiply 7 hours by $19.50 to find the total amount he was paid
7 × 19.50 = 136.50
In overtime, he was paid $136.50
Blood pressure: High blood pressure has been identified as a risk factor for heart attacks and strokes. The proportion of U.S. adults with high blood pressure is 0.4. A sample of 39 U.S. adults is chosen. Use the TI-84 Plus Calculator as needed. Round the answer to at least four decimal places. Part: 0 / 60 of 6 Parts Complete Part 1 of 6 Is it appropriate to use the normal approximation to find the probability that more than 43% of the people in the sample have high blood pressure? It ▼(Choose one) appropriate to use the normal curve, since =np ▼(Choose one)10 and =n−1p ▼(Choose one) 10.
Answer:
Yes it appropriate to use the normal approximation to find the probability that more than 43% of the people in the sample have high blood pressure
Step-by-step explanation:
From the question we are told that
The population proportion is p=0.4
The sample size is n = 39
The sample proportion is [tex]\^ p = 0.43[/tex]
Generally for normal approximation to be used
[tex]np > 10[/tex]
so np = 39 * 0.4 = 15.6 > 10
and [tex]n(1- p) > 10[/tex]
so n(1-p ) = 39(1-0.4) = 23.4 >10
Given that the both condition is meet it mean that it appropriate to use the normal approximation to find the probability that more than 43% of the people in the sample have high blood pressure
Need help i will mark you brainliest
9. Determine whether KM and ST are parallel, perpendicular, or neither. K(-1, -8). M(1,6), S(-2,-6), T(2, 10) plz help!!!
Answer:
they are neither
Step-by-step explanation:
because if you connect the dots they are neither parallel or perpendicular
In the number 65.784, what place is the 7 in?
Answer: tenths
Step-by-step explanation:
Answer:
TENTHS
Step-by-step explanation:
rewrite the equation 10=1,000 with an exponet that makes it true .
Answer:
[tex]10^3=1,000[/tex]
Step-by-step explanation:
The expression 10=1,000 is obviously false, but we can make it true by rewriting it with an exponent.
Note that 1,000=10*10*10
Or, equivalently:
[tex]1,000=10^3[/tex]
Thus, if we modify the original false expression and add an exponent 3 to the base 10, then it would be true:
Original:
10=1,000 => false
Rewritten true:
[tex]\boxed{10^3=1,000}[/tex]
Brandon is deciding between two truck rental companies. Company A charges an initial fee of $75 for the rental plus $2 per mile driven. Company B charges an initial fee of $35 for the rental plus $3 per mile driven. Let AA represent the amount Company A would charge if Brandon drives xx miles, and let BB represent the amount Company B would charge if Brandon drives xx miles. Write an equation for each situation, in terms of x, and determine which company would be cheaper if Brandon needs to drive 45 miles with the rented truck.
Answer:
-Equations:
AA=75+2x
AA=75+2x
-Company A would be cheaper.
Step-by-step explanation:
-Company A: The equation would indicate that the amount the company would charge is equal to the initial fee for the rental plus the cost per mile driven for the number of miles driven:
AA=75+2x
AA=75+2(45)
AA=75+90
AA=165
-Company B: The equation would indicate that the amount the company would charge is equal to the initial fee for the rental plus the cost per mile driven for the number of miles driven:
BB=35+3x
BB=35+3(45)
BB=35+135
BB=170
According to this, if Brandon needs to drive 45 miles with the rented truck, Company A would charge $165 and Company B would charge $170 which means that Company A would be cheaper.
Calculate.
(2x105)(4.3x109)
Write your answer in scientific notation.
Answer:
9.8427x10⁴
Step-by-step explanation:
Answer:
98427x^2
9.8427x10^4
Step-by-step explanation:
In a certain college,20% of the physics majors belong to ethnic minorities. If 10 students are selected at random from the physics majors, what is the probability that exactly 7 belong to an ethnic minority?
Answer:
0.000786432
Step-by-step explanation:
In a certain college,20% of the physics majors belong to ethnic minorities
The proportion p = 20%
= 0.2
q = 1 - 0.2 = 0.8
1f 10 students are selected at random from the physics majors
n = 10
x = 7
The formula for Binomial Probability is
= nCx × p^ x × (1−p)^ n−x .
= 10C7 × p⁷ × (0.8) ^10 - 7
= 0.000786432
The probability that exactly 7 belong to an ethnic minority is 0.000786432
what is the answer for 14x divided by 7x
Answer:
2x
Step-by-step explanation:
You're dividing 14 multiplied by a number by 7 multiplied by a number. So you'd get 2 multiplied by a number.
State the domain of the following mapping
Answer:
where's the map
Step-by-step explanation:
solve for a in the figure shown.
Answer:
40
Step-by-step explanation:
110+30=140
but a full triangle should equal 180
so 180-140=40
140+40=180
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X+ 2 = 5 and y-3 = 2
Answer:
x=3
y=5
because 5-2=3 so 3 is x
and 2+3 is 5 so y is 5
Answer:
X = 3, Y =
Step-by-step explanation:
This is because 2+3=5,
and5-3=2
What is the solution to the system shown here?
x + y 25
x + y = 5
Answer:
no solution (parallel lines )=1/1=1/1=5/1
Step-by-step explanation:
Two people start walking at the same time in the same direction. One person walks at 8 mph and the other
person walks at 3 mph. In how many hours will they be 1.25 miles apart?
Answer:
0.25hoursStep-by-step explanation:
Data
speed v1=8mph
speed v2=3mph
distance= 1.25
time t=?
speed= distance/time
distance=speed*time
1.25=8*t-3*t
1.25=8t-3t
1.25=5t
t=1.25/5
t=0.25hours
In minutes it is 15min
70 + x + 55 + 30 = 180
Answer:
x=25
Step-by-step explanation:
First, we add all like terms. Then, we solve for x.
[tex]70+x + 55 + 30 = 180\\x+70 + 55 + 30 = 180\\x+155=180\\x=25[/tex]
We can rearrange some things because order does not matter with addition. Next, we just use basic equation solving techniques.
Answer:
25. Hope this helps :)
Step-by-step explanation:
180-70=110
110-55=55
55-30=25
Your missing answer would be 25
X=25
Julie bought 3 tomatoes for a price of $0.60 each. Using the key, create a
model to represent how much Julie can expect to pay for the tomatoes.
Then write an equation that matches your model.
KEY
- 1 dollar
Answer:
y=.60x
Step-by-step explanation:
where y is the amount of money Julie can expect to pay
where x is the amount of tomatoes she is buying
i dont understand what the key means, but this would be the appropriate model for this problem
Can i get brainliest please?
What is the value of y?
B
60°
12
12
ro
60°
А
12 to 60
answer 60°
solve:180°-(60°+60°)
180°-120°
60°##
When five times a number is decreased by 9, the result is 11. What is the number?
Answer
4
Step-by-step explanation:
Add 9 to 11, then divide that by 5.
Answer:
4
Step-by-step explanation:
work backwards 11+9 is 20. Divide 20 by 5 = 4
You are given $893 in one, five, and ten dollar bills. There are 165 bills. There are twice as many five dollar bills as there are ones and tens combined. How many bills of each type are there?
Given:
You are given $893 in one, five, and ten dollar bills.
There are 165 bills.
There are twice as many five dollar bills as there are ones and tens combined.
To find:
How many bills of each type are there?
Solution:
Consider the number of bills of one dollars, five dollars and ten dollars are x, y and z respectively.
According to the question,
Number of bills : [tex]x+y+z=165[/tex] ...(1)
Total amount : [tex]1x+5y+10z=893[/tex] ...(2)
Condition : [tex]y=2(x+z)[/tex] ...(3)
Equation (3) can be written as
[tex]\dfrac{y}{2}=x+z[/tex] ...(4)
Substituting [tex]x+z=\dfrac{y}{2}[/tex] in (1), we get
[tex]\dfrac{y}{2}+y=165[/tex]
[tex]\dfrac{3y}{2}=165[/tex]
[tex]3y=330[/tex]
[tex]y=110[/tex]
Substituting y=110 in (4), we get
[tex]x+z=\dfrac{165}{2}[/tex]
[tex]x+z=55[/tex]
[tex]x=55-z[/tex] ...(5)
Substituting y=110 and x=55-z in (2), we get
[tex](55-z)+5(110)+10z=893[/tex]
[tex]55-z+550+10z=893[/tex]
[tex]9z+605=893[/tex]
[tex]9z=893-605[/tex]
[tex]9z=288[/tex]
Dividing both sides by 9, we get
[tex]z=32[/tex]
Substituting z=32 in (5), we get
[tex]x=55-32[/tex]
[tex]x=23[/tex]
Therefore,
One dollar bills = 23
Five dollars bills= 110
Ten dollars bills = 32
What is the difference between 71.27 and38.86?
Answer:
32.41Step-by-step explanation:
72.21 - 38.86 = ?
32.41Hope this helps! <3
Answer:
Hey mate......
Step-by-step explanation:
This is ur answer......
7 1 . 2 7
_- 3 8 . 8 6___
3 2 . 4 1
---> 32.41
Hope it helps you,
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Joe makes $3.50 per hour working at a convenience store. If he gets a bonus of $25 this
week, how many hours must he work to make at least $165?
Answer:
40
Step-by-step explanation:
Working backwards, he has to get 140 from working hours alone. 140/3.5=40. He has to work 40 hours to get at least 165
Willa Schaefer deposited $3,000 in a savings plan with her credit union. The credit union savings plan pays 3% interest compounded semiannually. If she makes no other deposits or withdrawals: what is the amount in the account after 2 1/2years?
Answer:
225776
Step-by-step explanation:
Trust me i got it right.
The perimeter of a rectangular outdoor patio is 66 ft. The length is 3 ft greater than the width. What are the dimensions of the patio?
Answer:
width = 15 ft
length = 18 ft
Step-by-step explanation:
lets assume the width is w, and length is l.
For the first equation, we all know that a rectangle is 2 widths and 2 lengths added up, which in "math" language looks like this:
2w+2l= 66
for the second equation, the problem says that the length is 3 ft greater than the width. From there, we can derive the equation:
w+3 = l
Now you can substitute one of the variables, length or width, but it is easier to do length. The equation ends up being:
2(w+3) + 2w = 66
Distributive property:
2w+6+2w = 66
which is equal to:
4w+6 = 66
which finally is:
w=15 ft.
Now that we know the width, we can just add 3 to the width to get the length, according to the problem. You get:
L = 18 ft.
Perform the indicated operation
3/4 divided by 1/3
Answer:
2 1/4
Step-by-step explanation:
3/4 ÷ 1/3 = ?
(to divide fractions faster you flip the second fraction so:)
3/4 x 3/1 = 2 1/4
what is 8 times 0.9 equal
Answer:
7.2
Step-by-step explanation:
PLEASE HELP I HAVE TO GET THIS DONE
Answer: so the answer is A
Step-by-step explanation: -3/2
if you ever have a question like that again go to Math-way it is every helpful and easy.
the graph of linear function g is shown on the grid. What is the zero of g? (-8,3) (-3,-4.5)
Answer:
Zero of the function = (-6, 0)
Step-by-step explanation:
Let the equation of the function given in the graph is,
y = mx + b
where m = slope of the line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
b = y-intercept of the line
From the graph attached,
Slope of the line passing through (-8, 3) and (-3, 4.5) = [tex]\frac{-4.5-3}{-3+8}[/tex] = -1.5
y - intercept 'b' = -9
Therefore, equation of the line will be,
y = -1.5x - 9
Function representing this line will be,
g(x) = -1.5x - 9
Zeros of the given function will be,
g(x) = 0 Or x-intercept
-1.5x - 9 = 0
x = -6
Therefore, zero of the given function is (-6, 0).
What number must be added to 101 to produce a number equal to the product of 101 x 21
Answer:
2020
Step-by-step explanation:
101 • 21 = 2121
2121 - 101 = 2020