Answer:
1. 7/9
2. 7/16
3. 3/7
4. 123/125
Step-by-step explanation:
1. Simplify the following:
2/9 + 5/9
2/9 + 5/9 = (2 + 5)/9:
(2 + 5)/9
2 + 5 = 7:
Answer: 7/9
_________________________
2. Simplify the following:
3/4 - 5/16
Put 3/4 - 5/16 over the common denominator 16. 3/4 - 5/16 = (4×3)/16 - 5/16:
(4×3)/16 - 5/16
4×3 = 12:
12/16 - 5/16
12/16 - 5/16 = (12 - 5)/16:
(12 - 5)/16
12 - 5 = 7:
Answer: 7/16
_____________________________________________
3. Simplify the following:
6/7×1/2
6/7×1/2 = 6/(7×2):
6/(7×2)
6/2 = (2×3)/2 = 3:
Answer: 3/7
__________________________________________________
4. Rewrite the decimal number as a fraction with 1 in the denominator
0.984=0.984/1
Multiply to remove 3 decimal places. Here, you multiply top and bottom by 10^3 = 1000
(0.984/1)×(1000/1000)= 984/1000
Find the Greatest Common Factor (GCF) of 984 and 1000, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 8,
(984/8) = 123
(1000/8) = 125
Therefore
X=123/125
In conclusion,
Answer: 0.984=123/125
The annual median income for a registered nurse is $65,000. The annual median income for a registered dietitian is $54,000. Over 20 years, how much more than a registered dietitian can a registered nurse earn?
Answer:
$220,000
Step-by-step explanation:
Given;
The annual median income for a registered nurse = $65,000
The annual median income for a registered dietitian = $54,000
The difference in the annual income of the registered dietitian from Nurse;
d = 65,000 - 54,000
d = $11,000
In 20 years, the cumulative difference in their earnings is;
Td = 20 × $11,000
Td = $220,000
Therefore, in 20 years the registered nurse will earn $220,000 more than the registered dietitian.
Can someone help me with this please
Answer:
Here you go :)
Step-by-step explanation:
1. w = 25
2. y = 7
3. x = 7
If sin theta <0 and tan theta >0 then:
Answer:
Step-by-step explanation:
If the sine is negative then theta must be in Quadrant III or Quadrant IV.
If the tangent is positive then theta must be in Quadrant I or III.
If both conditions must be satisfied, then we conclude that thera is in Quadrant III.
Note that [tex]\tan\theta=\frac{\sin\theta}{\cos\theta}.[/tex] Thus, if [tex]\sin\theta<0[/tex] and [tex]\tan\theta>0,[/tex] then we must have [tex]\cos\theta<0[/tex] as well. The sine function is negative when [tex]\theta[/tex] lies in Quadrant III or IV, and the cosine function is negative when [tex]\theta[/tex] lies in Quadrant II or III. Thus, the two are both negative when [tex]\theta[/tex] lies in Quadrant III, or [tex]\pi+2\pi n<\theta<\frac{3\pi}{2}+2\pi n[/tex] for integer values of [tex]n.[/tex]
The coin is flipped one more time. A tree diagram has been started for you to represent the possible outcomes. Determine the results from another coin flip. What is the probability that the coin lands heads up all three times?
Answer:
1/8
Step-by-step explanation:
Answer:
1/8 or option A for edge 2020
Step-by-step explanation:
I got it right in the warm up ^^
Hope this helps!!
find the volume of the prism
Answer:
The volume is 3360
Step-by-step explanation:
L X H x W
12* 28* 10= 3360
Your welcome
What is the answer to this
Answer:
b i think
Step-by-step explanation:
g(x) = x2 − 4, find g(5).
Answer:
6
Step-by-step explanation:
g(x) = x2 - 4
g(5)= 5(2) - 4
g(5)= 10 - 4
g(5)= 6
Have a great day
Answer:
6
Step-by-step explanation:
Solve for all possible values of x.
√x-8-3=1
Ox= -4
O x = 8
O x = 12
Ox= 24
Answer:
x = 24
Step-by-step explanation:
[tex] \sqrt{x - 8} - 3 = 1 \\ \sqrt{x - 8} = 1 + 3 \\ \sqrt{x - 8} = 4 \\ squaring \: both \: sides \: \\ {( \sqrt{x - 8)} }^{2} = {4}^{2} \\ x - 8 = 16 \\ x = 16 + 8 \\ \huge \red{ \boxed{x = 24}}[/tex]
Solve for x.
Your answer must be simplified.
-3 < x-10
Answer:
The answer is x>7
Step-by-step explanation:
Hope this helps
Please answer quick!!
Linda randomly surveyed 20 teachers at her school about whether they prefer chalkboards or dry erase boards. She repeated the survey three times with three different sets of teachers.
A 3-column table with 3 rows. Column 1 has entries Sample 1, Sample 2, Sample 3. Column 2 is labeled Chalk with entries 12, 9, 1. Column 3 is labeled Dry Erase with entries 8, 11, 19.
Which pair of Linda’s samples seems to have the lowest variability and, therefore, are representative samples?
A.Samples 1 and 2
B.Samples 1 and 3
C.Samples 2 and 3
D.None of the samples
Answer:
AStep-by-step explanation:
Answer:
✔ samples 1 and 2
Step-by-step explanation:
Linda randomly surveyed 20 teachers at her school about whether they prefer chalkboards or dry erase boards. She repeated the survey three times with three different sets of teachers.
A 3-column table with 3 rows. Column 1 has entries Sample 1, Sample 2, Sample 3. Column 2 is labeled Chalk with entries 12, 9, 1. Column 3 is labeled Dry Erase with entries 8, 11, 19.
Which pair of Linda’s samples seems to have the lowest variability and, therefore, are representative samples?
You are making a colorful cake for a birthday party and need to use 4 drops of food coloring for every 5 ounces of icing. How many drops of food coloring do you need if
you are using 30 ounces oficing?
Answer:
24 drops of food coloring
Step-by-step explanation:
First, since there are 30 ounces, divide by 5, because there are 4 drops in every 5 ounces of icing. Since 30÷5=6, You have to multiply it by 4 to get 24. You multiply by 4 because there are 4 drops in 5 ounces of icing.
24 drops of food colouring are needed if you are using 30 ounces oficing.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
First, since there are 30 ounces, divide by 5, because there are 4 drops in every 5 ounces of icing.
Since 30÷5=6, You have to multiply it by 4 to get 24. You multiply by 4 because there are 4 drops in 5 ounces of icing.
Therefore 24 drops of food colouring are needed if you are using 30 ounces of icing.
To know more about Expression follow
https://brainly.com/question/723406
#SPJ2
Find the area of the shaded region. Round your answer to the nearest hundredth.
Answer:
the answer is 1/3
Step-by-step explanation:
Answer:
Answer is 69
Step-by-step explanation:
Wayne Gretzky holds the NHL record for the most points scored In a career. He scored 2857 points in 1487 games. a. Calculate his average points per game b. At this rate,how many more points might he have scored if he had played 79 more games?
Answer:
Step-by-step explanation:
a) The formula for determining average is expressed as
Average point per game = number of points scored/total number of games played
Average point per game = 2857/1487 = 1.92
b) if he had played 79 more games, since his average point per game is 1.92, then the number of points that he might have scored would be
1.92 × 79 = 95 points
The total number of points would have been
2857 + 95 = 2952 points
Answer:
a. 1.92
b. 152
Step-by-step explanation:
Wayne Gretzky had 2857 points in 1487 games.
a. His average points per game can be determined by dividing the total number of points by number of games. So that:
average points per game = [tex]\frac{2857}{1487}[/tex]
= 1.92132
Therefore, he scored an average of 1.92 (2 d.p) points per game.
b. The number of points he would have scored having played 79 more games can be determined by multiplying the points for 79 more games by his average points.
His points for 79 more games = 79 × 1.92132
= 151.78428
He would have scored 152 (3 s.f) more points if he had played 79 more games.
Use sigma notation to represent the sum of the first seven terms of the following sequence: 4, 10, 16, …
Answer: 154
Step-by-step explanation:
[tex]a_1=4,\ d=6\quad \rightarrow \quad a_n=4+6(n-1)\quad \rightarrow \quad a_n=6n-2\\\\\\\sum^7_{n=1}6n-2\\\\\\a_1=4\\a_7=40\\\\\\S_n=\dfrac{a_1+a_7}{2}\cdot n\qquad =\dfrac{4+40}{2}\cdot 7\qquad =22\cdot 7\qquad =\large\boxed{154}[/tex]
Answer:
154 I think
Step-by-step explanation:
A rectangle has a perimeter of 30 inches. One side measures 5 inches. What are the measures of the other three sides?
Answer: the other side has to be five since they are the same which will equal to 10 so that means the other two sides should be 10 each
Use the quadratic function to predict y if x equals 7.
y = 2x2 – 3x + 3
Answer:
80
Step-by-step explanation:
[tex]f(7)=2(7)^{2} -3(7)+3[/tex]
[tex]= 2(49)-21+3\\=98-21+3\\=80\\[/tex]
As an estimation we are told £3 is €4.
Convert €67.50 to pounds.
Give your answer rounded to 2 DP.
Answer:
£50.63
Step-by-step explanation:
If €4 = £3
Therefore one €1 = £3/4
Now, Converting €67.50 to pounds,
67.50 * 3/4 = £50.625
£50.63 (answer rounded to 2 DP)
Current time conversion,
67.50 Euro equals 60.68 Pound sterling
Which expression is a factor of x2 +2x - 15 A. (x - 3) B. (x + 3) C. (x + 15) D. (x - 5)
Answer:
A. (x - 3)
Step-by-step explanation:
x^2 +2x - 15
Factor
What 2 numbers multiply to -15 and add to 2
5*-3 = -15
5 -3 =2
(x+5)(x-3)
pls help me for 18 points
Answer:
The answer is 6/6 and 1/6. The mixed number would be 1 1/6
Step-by-step explanation:
Take 7/6 and find out how many 1/6 there are. The are 7. Take them and make 6 go into one and you have 1/6 left over. So the mixed number would be 1 1/6
What is the slope of a line that is perpendicular to the line shown on the graph?
–4
4
Answer:
its 4
Step-by-step explanation:
got a 100 on the test
Answer:
D
Step-by-step explanation:
assume that for a particular group of students, the event is a senior and is female are independent. If 30% of the students are seniors and 54% of the female what is the probability of being a male senior?
Answer:
c.
Step-by-step explanation:
P(male) = 100 - 54 = 46% = 0.46
P(male & senior) = 0.46 × 0.3 = 0.138
13.8 %
Answer:
C. 13.8%
Step-by-step explanation:
P(male) = 100 - 54 = 46% = 0.46
P(male & senior) = 0.46 × 0.3 = 0.138
= 13.8%
please help me i dont understand
Answer:
34÷x-7=y
Step-by-step explanation:
34÷x-7=y
Find the median, lower quartile, and upper quartile for the set of data.
4, 1, 11, 8, 2, 9, 7, 6, 10, 5
Answer:
The median is 2 lower quartile is 11 and upper quartile is 6
Step-by-step explanation:
hope this helps
The solution of 2x -3=7
Answer: x = 5
Step-by-step explanation: To solve for x, we must first isolate the term containing x which in this problem is 2x.
Since 3 is being subtracted from 2x, we add 3
to both sides of the equation to isolate the 2x.
On the left, the -3 and +3 cancel
out and on the right, 7 + 3 is 10.
So we have 2x = 10.
No we can finish things off by just dividing
both sides of the equation by 2.
On the left the 2's cancel and on
the right, 10 divided by 2 is 5.
So we have x = 5.
I opened a grocery account at my bank with $250. Every week thereafter, I withdraw $90 from the account to pay for groceries. If x is the number of weeks I've had the account, then y is the amount in the account. Find an equation of a line in the form y = mx + b that describes my grocery account balance.
Answer:
y= -90x+250
Step-by-step explanation:
From the information given, the equation would be that the amount in the account would be equal to -90 that is the amount you withdraw from the account each week multiply for x that is the number of weeks plus $250 that is your initial balance:
y= -90x+250, where
y= amount in the account
x= number of weeks.
There is 13 of a gallon of water in a small fish tank. To clean the tank, Ray pours the water into two smaller bowls. How many gallons of water does Ray pour into each bowl?
Answer:
6.5 gallons
Step-by-step explanation:
if u see we have to divided 13 by 2 to see how much each bowl will have
13/2= 6.5 gallons
Factoring each polynomial 4x^3+ 8x^2+ 12x
Answer:4x(x^2+2x+3)
Step-by-step explanation:
8 more than the quotient of a number and 3 is equal to 5
Answer:
8+ n/3=5
Step-by-step explanation:
Just rewrite the problem using words.
Answer:
I believe the answer would be 8+x÷3=5
Find the area of the semi circle
Answer:
76.96902001
Step-by-step explanation:
We know that the area of a circle is [tex]pi * r^2[/tex] so we can take that equation and divide it by two to get your answer. So in this case it would be [tex]\frac{pi*7*2}{2}[/tex]. Hope this helps!
How many bases does a triangular prism have?
Answer:
two bases
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