Answer:
82 degrees
Step-by-step explanation:
Complementary angles add up to 90 degrees. if one angle is 8 then,
90-8=82
In Ellen's math class, there are 2 boys for every 3 girls. If there are 21 girls in the class, how many boys are in the class?
Answer: 14 boys
Step-by-step explanation:
ratio 2:3
7 divided by 21 = 3, so 7 times 2 equals 14
Answer:
14
Step-by-step explanation:
Divide 21 by 3, you get 7. Multiply 7 by 2, you get 14.
3) What is an equation for the line that passes through the coordinates (-1.2) and (7,6) ?
Answer:
[tex]y=\frac{1}{2} x+\frac{5}{2}[/tex]
Step-by-step explanation:
First find the slope using the slope using the given points. Remember that the slope is the change in y over the change in x.
[tex]\frac{6-2}{7- (-1)}=\frac{4}{8}=\frac{1}{2}[/tex]
So now we have the equation [tex]y=\frac{1}{2} x+b[/tex], and we need to find out what b is. We can do this by pointing a point (either one, but I'll use -1,2) into the equation
[tex]2=\frac{1}{2}(-1)+b[/tex]
Rearrange the equation so it equals b
[tex]\frac{5}{2}=b[/tex]
Put it together and that's the final equation!
[tex]y=\frac{1}{2} x+\frac{5}{2}[/tex]
Which expression is equivalent to 2(3 - x) - 12 + 4x
1. 3x - 6
2. 3x - 7
3. 2x - 6
4. 2x - 7
Sally is teaching a nursery rhyme to her kindergarten students. She found that 4 out of every 10 students know the rhyme. If Sally has a total of 20 students, how many students in her class know the rhyme?
Step-by-step explanation:
the answer is
[tex]= \frac{4}{10} \times 20 = 8[/tex]
william runs 40 yards in 4.5 seconds. at the same pace how long will he take to run 100yards?
Answer:
11.25 seconds
Step-by-step explanation:
first, we need to figure how how far william can run per second
we can find this by 40 ÷ 4.5
= 8.889 per second
so we know that 8.889 • s (seconds) = 100
8.889s = 100 divide both sides by 8.889
s = 11.25 seconds
Answer:
William will take 11.25 seconds to run 100 yards
Step-by-step explanation:
Constant Rate
William runs 40 yards in 4.5 seconds. The rate of change of the distance is
[tex]\frac{40}{4.5}[/tex]
To run 100 yards, we divide by the rate obtained above:
[tex]\displaytstyle \frac{100}{\frac{40}{4.5}} =100*\frac{4.5}{40} =11.25[/tex]
William will take 11.25 seconds to run 100 yards
By eating 1 egg, 1 cupcake, and 1 slice of pizza, a child consumes 300 mg of cholesterol. If the child eats 3 cupcakes and 4 slices of pizza, he or she takes in 86 mg of cholesterol. By eating 2 eggs and 1 cupcake, a child consumes 566 mg of cholesterol. How much cholesterol is in each item?
Answer:
cholesterol in egg= 273 mg
cholesterol in cupcake = 18 mg
cholesterol in slice of pizza = 9 mg
Step-by-step explanation:
Given data:
1 egg , 1 cupcake , 1 slice of pizza = 300mg
3 cupcakes , 4 slices of pizza = 90mg
2 eggs , 1 cupcake = 564mg
Let egg be x , let cupcake be y and let pizza be y
x + y + z = 300 (equation 1)
0x + 3y + 4z = 90 (equation 2)
2x + y + 0z = 564 (equation 3)
Using equation 1 and equation 2
x + y + z = 300 (Multiply equation by 3)
0x + 3y + 4z = 90
3x + 3y +3z =900
0x +3y +4z = 90 (Subtracting the equations)
3x - z = 810 (equation 4)
Using equation 2 and equation 3
0x + 3y + 4z = 90
2x + y + 0z = 564 (Multiply equation by 3)
0x + 3y + 4z = 90
6x +3y + 0z = 1692 (Subtracting the equations)
-6x +4z =-1602 (equation 5)
Solving equation 4 and equation 5
3x - z = 810 therefore z =3x -810
Substituting z into equation 5
-6x +4(3x - 810) =-1602
-6x + 12x - 3240 = -1602
6x = -1602+3240
6x = 1638
x = 273
Substituting x into z = 3x - 810
z = 3(273) - 810
z = 819-810
z = 9
Using equation 1 to find y
x + y + z = 300
273 + y + 9 = 300
282 + y = 300
y = 300-282
y = 18
What is this fraction shown above?
Answer:
1/3 because they have only colored on out of three, so the answer will be 1/3. Hope this helped!
Step-by-step explanation:
NAME DATE PERIOD 5-6 Practice 1 2 3 4 Probability and Odds Find the probability of each outcome if a pair of dice are rolled. Refer to the table below, which shows all of the possible outcomes when you roll a pair of dice. 4 5 6 (1, 1) (1, 2) (1, 3) (1. 4) (1,5) (1,6) 2 (2, 1) (2.2) (2, 3) (2, 4) (2,5) (2, 6) 3 (3, 1) (3, 2) (3, 3) (3, 4) (3,5) (3,6) 4 (4, 1) (4, 2) (4.3) (4, 4) (4, 5) (4, 6) 5 (5, 1) (5, 2) (5, 3) (5, 4) (5,5) (5, 6) 6 (6, 1) (6.2) (6.3) (6,4) (6,5) (6, 6) 1 36 1. ap h number on the second die . 2. a sum of 8 18 - ä 25 26 3. a sum of 7 4. load sum 5. a sum less than 6 6. a sum greater than 7 7. both die are the same number 8. a sum less than 2 0136 Find the odds of each outcome if a bag contains tīblue marbles, 3 yellow marbles, and 2 red marbles. 9. choosing a blue marble 10. choosing a red marble 7:5 11. choosing a yellow marble 1:5 5:7 12. choosing a yellow or red marble 5.7 13. choosing a yellow or blue marble 14. choosing a blue or red marble 15. not choosing a blue or red marble 16. not choosing a blue marble 5:7 222 Algebra: Concepts and Applications © Glencoe/McGraw-Hill
Answer: Link to answer below
Step-by-step explanation:
Line passes through point (1, 7) and point (-2, 4). What is the slope of this line?
The slope of the line is 1.
The slope of the line is 1 because the line moves ror goes up from left to right, making it a positive. The line also moves one block over and one block up.
Answer:
1
Step-by-step explanation:
Solve for all values of x by factoring. x^2 −2x−4= -2x+5
Answer:
-3 and 3
Step-by-step explanation:
Answer:
Step-by-step explanation:
[tex]x^2-2x-4=-2x+5\\ \\ x^2-9\\ \\ (x+3)(x-3)[/tex]
A soft drink-dispensing machine uses paper cups that hold a maximum of 12 ounces. The machine is set to dispense a mean of 10 ounces of the drink. Because of an imprecise process, the amount dispensed actually varies; it is normally distributed with a standard deviation of 1 ounce. If we simulated the filling process, and had the random number .564, how many ounces would the cup contain? Give your answer to 3 decimal places.
Answer:
The cup would contain 10.16 ounces.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Mean of 10 ounces, standard deviation of 1 ounce:
This means that [tex]\mu = 10, \sigma = 1[/tex]
If we simulated the filling process, and had the random number .564, how many ounces would the cup contain?
This means that we have to find X when Z has a pvalue of 0.564. So X when Z = 0.16. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.16 = \frac{X - 10}{1}[/tex]
[tex]X - 10 = 0.16*1[/tex]
[tex]X = 10.16[/tex]
The cup would contain 10.16 ounces.
If the cost of a dozen pencil is 96 . find the cost of 18 pencil plz fast i have to summit now
Answer:
Cost of dozen pencils = 96
Cost of one pencil = 96 / 12 = Rs.8
Cost of 18 pencils = 8×18 = Rs.144
Step-by-step explanation:
Hope it helps
Mark me as brainliest plz
Step-by-step explanation:
1.Write an equation that models the following verbal statement and show/explain how you know your translation is correct.
Five less than four times a number is equal to three times the number.
2. Alejandra stayed 3 nights in a hotel for a total of $254.91. If each night was the same price, what did Alejandra pay per night? Show your thinking, use units to label your answer!
Answer:
Step-by-step explanation:
4x-5 = 3x
A copy machine makes 36 copies per minute. How long does it take to make 117 copies
Answer:
3.25 minutes
Step-by-step explanation:
117 ÷ 36 = 117
Answer:
3.25 min
Step-by-step explanation:
copies. time
36. 1
117. x
36×x= 117×1
x. = 117÷36
x. = 3.25 min
Please help......................
18.9 or 18 9/10 or b or the second option.
Answer:
it's 18 9/10
Step-by-step explanation:
A company produces two types of jackets; windbreakers and rainbreakers. The company has at most 61 hours of finishing time per week and 67 hours of packaging time per week. Each windbreaker jacket takes 59 minutes of finishing time and 21 minutes of packaging time per week, whereas each rainbreaker jacket takes 58 minutes of finishing time and 34 minutes of packaging time per week. The company's profit for each windbreaker and rainbreaker jacket is 28 and 41, respectively. Let x denote the number of windbreaker jackets they should produce and y denote the number of rainbreaker jackets they should produce. The company wants to maximize profit. Set up the Linear Programming Problem for this situation.
Answer:
Max p = 28x + 41y
Subject to
59x + 58y ≤ 3660
21x + 34y ≤ 4020
x ≥ 0, y ≥ 0
Step-by-step explanation:
As given ,
Windbreakers Rain breakers Total
Finishing time 59 min 58 min 61 hr
Packaging time 21 min 34 min 68 hr
Profit 28 41
Let
The number of windbreaker jackets they should produce = x
The number of rain breaker jackets they should produce = y
As given,
The company wants to maximize profit.
⇒ Maximum Profit , p = 28x + 41 y
Now,
As 1 hour = 60 min
⇒61 hours = 61×60 = 3660 min
and 67 hours = 67×60 = 4020 min
∴ we get
The equations become
59x + 58y ≤ 3660
21x + 34y ≤ 4020
x ≥ 0, y ≥ 0
So, the Linear Programming Problem (LPP) for this problem is -
Max p = 28x + 41y
Subject to
59x + 58y ≤ 3660
21x + 34y ≤ 4020
x ≥ 0, y ≥ 0
Just the answers please
M is the midpoint of PA.
8x - 1
M
2x + 17 A
PM =
Use the given functions to set up and simplify PM
M =
PA =
8x - 1
M=
2x + 17A
PM=
if the figures below are similar give the scale factor of figure a to b,20,17.5,16,14
Answer:
Step-by-step explanation:
Home Depot sells an $1850 gas grill on the installment plan. The installment agreement includes a 20% down payment and 12 monthly payments of $160.
What is the total cost of the grill on the installment plan?
Answer:
Total cost of the grill installment plan = 2290
Step-by-step explanation:
370 + 1920 = 2290
need help pls and thank you
Answer:
y=25x
Step-by-step explanation:
It is a linear equation with a slope of 25
A _____________ is a function that describes a change in the position, size, or shape of a figure.
Answer:
force
Step-by-step explanation:
What are the coordinates of the image of point T(2,4) over the transformation D(1/2,R), where R(6,-2) is the center. X= ? Y= ?
9514 1404 393
Answer:
T'(4, 1)
Step-by-step explanation:
The dilation transformation around a center not the origin is ...
T' = k(T -R) +R . . . . for dilation factor k and center R
This can be simplified to ...
T' = 1/2T -1/2R +R = 1/2T +1/2R = (T +R)/2
Using the given point values, we find the image point to be ...
T' = ((2, 4) +(6, -2))/2 = (8, 2)/2 = (4, 1)
The image point is T'(4, 1).
what is the additive inverse of the complex number -8+3i
Answer:
8-3i
Step-by-step explanation:
additive inverse of a+bi is -(a+bi)
so -(-8+3i) -- distribute negative through ()
8-3i
Find the perimeter of lsosceles triangle ABC (below) if mAD = 3 and m < BAC = 55 degrees. Round to the nearest hundredth.
Answer:
r
Step-by-step explanation:
I have a big question what is 720 x 0.1
Answer:
72
Step-by-step explanation:
Answer:
72
Step-by-step explanation:
I hope this helps :)
The diameter of the raw cookie is 2 1 2 inches. After baking the cookie, the diameter is 5 1 2 inches. By what factor does the cookie expand?
Answer:
[tex]Factor = 220 \%[/tex]
Step-by-step explanation:
Given
[tex]Initial = 2\frac{1}{2}[/tex]
[tex]Final = 5\frac{1}{2}[/tex]
Required
Determine the factor of increment
First, we calculate the percentage increment
[tex]\% Increment = \frac{Final - Initial}{Initial} * 100\%[/tex]
Substitute values for Final and Initial
[tex]\% Increment = \frac{5\frac{1}{2} - 2\frac{1}{2}}{2\frac{1}{2}} * 100\%[/tex]
Express fractions as decimals
[tex]\% Increment = \frac{5.5 - 2.5}{2.5} * 100\%[/tex]
[tex]\% Increment = \frac{3}{2.5} * 100\%[/tex]
[tex]\% Increment = \frac{3* 100}{2.5} \%[/tex]
[tex]\% Increment = \frac{300}{2.5} \%[/tex]
[tex]\% Increment = 120 \%[/tex]
So, the factor of increment is:
[tex]Factor = 100\% + Increment[/tex]
[tex]Factor = 100\% + 120 \%[/tex]
[tex]Factor = 220 \%[/tex]
Yoshi has a rope 30 feet long. He must cut it in pieces that are 1/4 foot long will he get more or fewer than 30 pieces
Answer:
More
Step-by-step explanation:
If we divide 30 by .25 we will get 120
A major corporation is building a 4,325-acre complex of homes, offices, stores, schools, and churches in the rural community of Glen Cove. As a result of this development, the planners have estimated that Glen Cove's population (in thousands) t years from now will be given by
(25t2 + 150t + 100)/(t2 + 6t + 24)
A) Find the rate at which Glen Cove's population is changing with respect to time.
B) What will be the population after 10 years?
C) At what rate will the population be increasing when t = 10?
Answer:
See explanation
Step-by-step explanation:
We have that;
P(t) = (25t2 + 150t + 100)/(t2 + 6t + 24)
a) rate at which Glen Cove's population is changing with respect to time.
dP/dt = (t^2 + 5t + 40) (50t + 125) - (25t^2 + 125t + 200) (2t + 5)/(t^2 + 5t + 40)^2
dP/dt = 1000t + 3000/(t^2 + 6t + 24)^2
b) population after 10 years
P(t) = (25t2 + 150t + 100)/(t2 + 6t + 24)
P(t) =(25(10)^2 + 150(10) + 100)/((10^2 + 6(10) + 24)
P(t) = 4100/184
P(t) = 22283
c) when t = 10
dP/dt = 1000t + 3000/(t^2 + 6t + 24)^2
dP/dt = 1000(10) + 3000/(10^2 + 6(10) + 24)^2
dP/dt = 13000/33856
dP/dt = 0.384
12.6d07
Find the probability.
In one town, 47% of all voters are Democrats. If two voters are randomly selected for a
survey, find the probability that they are both Democrats.
Select one:
a. 0.221
b. 0.940
c. 0.470
d. 0.216
Answer:
A
Step-by-step explanation:
The fact you need to use is 47%
47/100 * 47/100 = 2209 / 10000 = 0.221