Answer: 292
Step-by-step explanation:
Given
There are 240 members in a labor union
The number increases by 5% each year
After 1 year it is
[tex]\Rightarrow 240+5\%\times 240\\\Rightarrow 240(1+0.05)[/tex]
After 2 years
[tex]\Rightarrow 240(1+0.05)+5\%\times 240(1+0.05)\\\Rightarrow 240(1+0.05)(1+0.05)=240(1+0.05)^2[/tex]
Similarly, after 4 years
[tex]\Rightarrow 240(1+0.05)^4\\\Rightarrow 291.72\approx 292[/tex]
Use the model to represent 80% as a fraction in simplest form.
0 A 9
10
O
В.
83
100
O
C.
4
5
o
D.
15
20
Answer: 45.
Step-by-step explanation:
Answer:
80% of 100 in fraction form is 4/5
Step-by-step explanation:
1. Christine picks three pumpkins. They weigh
6 14 pounds, 2 1/3 pounds, and 1 1/8 pounds.
What is the total weight of the pumpkins?
Answer: [tex]9\dfrac{17}{24}\ \text{Pounds}[/tex]
Step-by-step explanation:
Given
Christine Picks three Pumpkins which weighs
[tex]6\dfrac{1}{4}=\dfrac{6\times 4+1}{4}\ \text{Pounds}[/tex]
[tex]2\dfrac{1}{3}=\dfrac{2\times 3+1}{3}\ \text{Pounds}[/tex]
[tex]1\dfrac{1}{8}=\dfrac{8\times 1+1}{8}\ \text{Pounds}[/tex]
The total weight will be the addition of the weights of each pumpkin
[tex]\Rightarrow \dfrac{25}{4}+\dfrac{7}{3}+\dfrac{9}{8}\\\\\text{Take the LCM of the denominators which will be 24}\\\\\Rightarrow \dfrac{25\times 6}{24}+\dfrac{7\times 8}{24}+\dfrac{9\times 3}{24}\\\\\Rightarrow \dfrac{150+56+27}{24}\\\\\Rightarrow \dfrac{233}{24}\ \text{Pounds}\\\\\Rightarrow 9\dfrac{17}{24}\ \text{Pounds}[/tex]
What’s the correct answer?? I will mark as brainlest
Answer:
11
Step-by-step explanation:
2 Which of the following is the point and slope of the equation y - 9 = 3/2(x - 1) A) (1,9), 3/2 B) (-1,-9), 3/2 C) (9, 1), 3/2 D) (9.-1), 3/2
Answer:
A) (1,9), 3/2
Step-by-step explanation:
Equation of a line:
The equation of a line, in point-slope format, is given by:
[tex]y - y_0 = m(x - x_0)[/tex]
y - 9 = 3/2(x - 1)
Comparing with above, we have that:
The point is [tex](x_0, y_0) = (1, 9)[/tex] and the slope is [tex]m = \frac{3}{2}[/tex]. The correct answer is given by option A.
Please help 50 points to whoever answers, and brainliest to best answer!!!!
Answer:
x = 26/yz
Step-by-step explanation:
Raffle tickets will be sold at an event. The graph shows the amount of revenue, in dollars, the event will raise if different numbers of tickets are sold. 100 How much revenue will the event raise for each raffle ticket sold? 90 А $4.00 80 B $2.00 70 С $1.50 D $0.75 60 Revenue (5) SO 40 30 20 10 4 8 12 16 28 32 20 24 Tickets Sold 36 40
9514 1404 393
Answer:
C. $1.50
Step-by-step explanation:
The graph is a straight line through the origin, so the revenue is proportional to the number of tickets. The ratio of revenue to tickets will tell you the money raised for each ticket sold. Pick any point on the graph and divide the revenue value by the number of tickets.
The division can be easy if the number of tickets is 10. We see that the revenue for 10 tickets is $15, so the amount raised for each ticket is ...
$15/10 = $1.50 . . . . raised per ticket sold
PLEASE TELL ME THE ANSWER BUT DONT ATACH LINKS PLEASEEEEEEEE!!!!!
Answer:
B)
Step-by-step explanation:
Answer:
B) [tex]3.87[/tex]×[tex]10^{8}[/tex]
what is the probability of rolling a number greater than 2 with a standard number cube
Answer:
4/6 or 2/3
Step-by-step explanation:
6 sides with 4 of the numbers being greater than 2; 4/6. The simplified version is 2/3.
Expand and simplify (2x + 1)(x + 3)
2x2 + 7x + 3 -answer
(2x + 1) (x + 3)
(2x * x) + (2x * 3) + (1 * x) + (1 * 3)
2x2 + 6x + x+3
2x2 + 7x + 3
(100 POINTS WILL MARK BRAINLIEST FOR ACTUAL ANWSERS) Write an equation in standard form of the ellipse with vertices (0,-2) and (8,-2), and a focus located at (7,-2)
Answer:
(x-4)^2 / 16 + (y+2)^2 / 7 = 1 or 7x^2-56x+16y^2+64y+64=0
Step-by-step explanation:
Either one should be right I think. Hope this helps.
I need help with aleks
Answer:
All angles are equal because all sided are equal so the 1st 1 is 60 .
the 2nd is 80
determine if the two triangles are congruent. If they are, State how you know. NO LINKS!!!!
9514 1404 393
Answer:
SASnotSSSAASStep-by-step explanation:
Look at the angles and sides that are marked, and their relationships to each other. Shared sides are congruent to themselves. Vertical angles are congruent. The possible congruence theorems are ...
SSS SAS AAS ASA (and HL for right triangles--not applicable here)
__
1. two marked sides and the vertical angle between are congruent. The triangles are congruent by the SAS theorem.
2. only one side and angle are marked. Insufficient information. Not congruent.
3. two marked sides and the shared side are congruent. The triangles are congruent by the SSS theorem.
4. the vertical angles, the marked angles, and the marked sides are congruent. The triangles are congruent by the AAS theorem.
You go to the doctor and he gives you 11 milligrams of radioactive dye. After 12 minutes, 7.75 milligrams of dye remain in your system. To leave the doctor's office, you must pass through a radiation detector without sounding the alarm. If the detector will sound the alarm if more than 2 milligrams of the dye are in your system, how long will your visit to the doctor take, assuming you were given the dye as soon as you arrived
Answer:
In (16.8+12=) 28.8 minutes the person will be left only with 2mg of dye in the body and be able to leave the doctor's office after being injected with 11 mg
Step-by-step explanation:
After 12 minutes, 7.75 milligrams of dye remain in your system.
This means that 11- 7.75= 3.25 milligrams of dye are used up in 12 minutes
7.75-2= 5.75 milligrams still needs to be used up
Dye Minutes
3.25 12
5.75 x
x= 12*5.75/3.25
x= 16.8 minutes
5.75 mg will be used up in 16.8 minutes
In (16.8+12=) 28.8 minutes the person will be left only with 2mg of dye in the body and be able to leave the doctor's office.
6. One week, Sam wrote a check for $8.75, deposited $4.50, and wrote another check for $2.50. What was the change to Sam's bank accountant that week?
Answer: - $6.75
Step-by-step explanation:
If 4 television weigh 160 pounds , how much do 5 of those television weigh? Show your work
Answer:
200 pounds
Step-by-step explanation:
4 televisions weigh 160 pounds
1 television weigh 40 punds
5 televisions weigh 200 pounds
Answer:
Logically 200 lbs
Step-by-step explanation:
160/4 = 40
1TV = 40 lbs
40 * 5 = 200
200lbs...
Need help please
What is the measure of angle 1?
What is the measure of angle 3?
What is the measure of angle 6?
Answer:
Step-by-step explanation:
Do you have any measurements?
1) 180-Angle 2 = Angle 1
3) Same as Angle 2
6) Same as Angle 2
I need to finish this today! Please help!
Answer:
13 square inches
Step-by-step explanation:
Add both values for the area together to get your answer
small one is
1*1=1 square inch
large one is
4*3=12 square inches
Answer:
13
Step-by-step explanation:
area of the polygon = area of a rectangle +area of the square
area of the polygon = 3*4 +1*1 = 12+1 = 13 in²
What is the equation of a circle with center (-2,3) and radius 4?
A. (x + 2)^2 +(y-3)^2 = 4
B. (x-2)^2 +(y +3)^2= 16
C. (x + 2)^2 + (y - 3)^2 = 16
D. (x+2)^2- (y - 3)^2 - 16
What is this pls help me 1/3 times 3/7
Answer:
2/21
Step-by-step explanation:
2/21 is the answer...........that is the fraction......
x+1/3=3/7
x=3/7-1/3
LCM=21
x=9/21-7/21
x=2/21
PLS HELP FOR 40 POINTS I HAVE AN EXAM!!!
You need to select a pair of socks from the draw and then a t-shirt. You have eight different colors of sock pairs and ten different color t-shirts. If you pull one from each draw, what are the possible combinations of socks and t-shirt that you will get?
Answer:
8
Step-by-step explanation:
You only have 8 socks and its a combination of both socks and t-shirts. Hope this helps!
Answer:
80
Step-by-step explanation:
10*8=80
If (x, 0) lies on the graph of y = logbx , then x =
1
B
0
Answer:
1
Step-by-step explanation:
There are 10 bags of cereal in a pantry. Each serving of cereal is 1/8 of a bag.
How many servings of cereal are there in the bags in the pantry?
Answer:
80 servings
Step-by-step explanation:
there is 8 serving per bag
Answer:
80
Step-by-step explanation:
Let servings be s and the bag be b
s = 1/8 b
multiply both sides by 8
8s = b
For 10 bags, it will be 10*8s = 80s which is 80 servings.
In ΔBCD, the measure of ∠D=90°, the measure of ∠B=26°, and DB = 48 feet. Find the length of BC to the nearest tenth of a foot.
The length of BC Is ___ ft.
Answer:
98.4 feets
Step-by-step explanation:
To obtain BC
we could make use of B as angle, the apply the trigonometric relation :
Tan B =adjacent / hypotenus
Tan B = DB / BC
Tan 26 = 48 / BC
0.4877325 = 48 / BC
BC = 48 / 0.4877325
BC = 98.4 feets
Blake drew a circle with an area of 1256 cm2. What is the diameter of that circle?
Suppose Hailey has taken four exams and made 86, 94, 76, and 81. If each exam counts equally, what does Hailey need to make on her fifth test to have an overall average of 85?
Answer:
She has to get a score of 88 on that test
Step-by-step explanation:
Take the average of the other grades, and that gives you 84.25. So she has to think about what rating she gives it is 85, and the rating is 88.
Hailey needs to score an 88 on the last exam in order to get an average of 85.
The overall average is the mean and the mean is calculated by adding up all the scores and then dividing by the number of exams.
There are 5 exams but only 4 scores. The 5th score will be denoted, "x" and the average we are looking for is 85.
The fifth score should therefore be:
Overall score = Sum of 5 exams / 5
85 = (86 + 94 + 76 + 81 + x) / 5
85 x 5 = 337 + x
425 = 337 + x
x = 425 - 337
= 88
In conclusion, Hailey needs a score of 88 on the fifth exam.
Find out more at https://brainly.com/question/17031271.
3x-8= 4
What is the first and second steps in solving this equation?
a. Multiply each side by 3
b. Divide each side by 3
c.Add 8 to each side
d. Subtract 8 from each side
Which statements are true about the rectangular pyramid below? Select three options.
A rectangular pyramid. The rectangular base has a length of 6 centimeters and width of 4 centimeters. 2 triangular sides have a base of 6 centimeters and height of 6 centimeters. 2 triangular sides have a base of 4 centimeters and height of 4.6 centimeters.
The area of the base is 24 cm2.
There are four lateral faces.
All the lateral faces are congruent.
The total surface area of the figure is 66.4 cm2.
At least one of the lateral faces has an area equal to 24 cm2.
Mark this and return
there are four lateral faces
Answer:
1
2
4
Step-by-step explanation:
A hospital directed collects data on birth weight of newborn babies born in the maternity ward the Director find that the birth weights are approximately normally distributed with a mean of 3300 grams and a standard deviation of 525 grams the empirical rule states that in a normal distribution 68% of values are within one standard deviation of the mean 95% of values are within two standard deviation of the mean and 99.7% of values are within three standard deviations of the mean based on empirical rule what percent of newborn babies born in the maternity wing of this hospital can be expected to have birth weight greater than 2250 grams
Answer:
97.5% of newborn babies born in the maternity wing of this hospital can be expected to have birth weight greater than 2250 grams.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
The normal distribution is symmetric, which means that 50% of the values are below the mean and 50% are above.
In this problem, we have that:
Mean of 3300, standard deviation of 525.
What percent of newborn babies born in the maternity wing of this hospital can be expected to have birth weight greater than 2250 grams?
2250 = 3300 - 2*525
2250 is 2 standard deviations below the mean.
Of the 50% of the weights below the mean, 95% are going to be greater than 2250(less than 2 standard deviations of the mean).
Of the 50% of the weights above the mean, 100% are going to be greater than 2250.
So
[tex]p = 0.5*0.95 + 0.5 = 0.975[/tex]
0.975*100% = 97.5%
97.5% of newborn babies born in the maternity wing of this hospital can be expected to have birth weight greater than 2250 grams.
kevin scored 11 points in his last basketball game. if kevin made two more free throws (one point each) then two-point shots, how many of each shot did he make? choose the graph that best depicts this problem.
Answer:
Kevin made 5 free throws and 3 two-point shots.
Step-by-step explanation:
Given that Kevin scored 11 points in his last basketball game, to determine if Kevin made two more free throws (one point each) than two-point shots how many of each shot did he make, the following calculation must be performed:
11 x 1 + 0 x 2 = 11
6 x 1 + 4 x 2 = 14
5 x 1 + 3 x 2 = 11
Therefore, Kevin made 5 free throws and 3 two-point shots.
Answer:
Step-by-step explanation:
Graph
I need help with this one .
Answer:
32/9
Step-by-step explanation:
2 to the fifth power is 32. 3 to the second power is 9.