Answer:
5 3/4 bakers can make 27.91 pretzels in 1 1/2 hours.
Step-by-step explanation:
Given that 1/3 of 33 bakers can make 89 pretzels in 2 1/2 hours, to determine how many pretzels can 5 3/4 bakers make in 1 1/2 hours the following calculation must be performed:
33 x 1/3 = 11
11 bakers can make 89 pretzels in 2.5 hours, that is, 35.6 per hour (89 / 2.5), and 3,236 per baker per hour (35.6 / 11).
3/4 = 0.75
Therefore, 5.75 bakers, making 3.236 per hour during 1.5 hour, will make the following amount of pretzels:
3.236 x 1.5 x 5.75 = X
4.854 x 5.75 = X
27.91 = X
Therefore, 5 3/4 bakers can make 27.91 pretzels in 1 1/2 hours.
Define the Variable, state the equation and solve for unknown
One-fourth the sum of twice a number and 7 is the same as the product of 3 and a number.
Give the right answer or I will report you :)
Answer:
0.7
Step-by-step explanation:
Use the parameter (x) to express the unknown quantity. Now express the given information as an equation.
[tex]\frac{1}{4}(2x+7)=3x[/tex]
Inverse operations,
[tex]2x+7=12x[/tex]
[tex]7=10x[/tex]
[tex]x=0.7[/tex]
Find the value of x.
Answer:
x = 5
Step-by-step explanation:
14x + 22x = 180
36x = 180
x = 5
Answer:
[tex]\huge\boxed{⎆Answer\hookrightarrow}[/tex]
The 2 angles in the given picture form supplementary angles. So, together they'll add up to 180°.
[tex]14x + 22x = 180 \\ 36x = 180 \\ x = \frac{180}{36} \\ x = 5[/tex]
⇻ The value of X is 5.
5 + {[2 X (14 - 9)] - 1}
Answer:
14
Step-by-step explanation:
[tex] 5 + (2 \times (14 - 9) - 1) \\ = 5 + (2 \times 5) - 1 \\ = 5 + (10 - 1) \\ = 5 + 9 \\ = 14[/tex]
I NEED HELP !! PICTURE IS UP THERE ^
In the figure below, m_2=81º. Find mZ1, mZ3, and mZ4.m 21 =21m 23 =34m 2 4 =
PLEASE HELP MEE IM STRUGGLING I DONT GET THIS AT ALL!!
Answer:
[tex]\angle 1 = 99^\circ[/tex]
[tex]\angle 3 = 99^\circ[/tex]
[tex]\angle 4 = 81^\circ[/tex]
Step-by-step explanation:
Given
[tex]\angle 2 = 81^\circ[/tex]
Required
Determine: [tex]\angle 1 . \angle 3 , \angle 4[/tex]
Solving for [tex]\angle 1[/tex], we have:
[tex]\angle 2 + \angle 1 = 180^\circ[/tex] --- angle on a straight line
So, we have:
[tex]\angle 1 = 180^\circ-\angle 2[/tex]
[tex]\angle 1 = 180^\circ-81^\circ[/tex]
[tex]\angle 1 = 99^\circ[/tex]
To solve for [tex]\angle 3, \angle 4[/tex], we have:
[tex]\angle 3 = \angle 1[/tex]
[tex]\angle 4 = \angle 2[/tex] --- Vertically opposite angles
So:
[tex]\angle 4 = 81^\circ[/tex]
[tex]\angle 3 = 99^\circ[/tex]
using the pythagorean theorem, calculate the length of the missing sides (c1, c2, c3)
Answer:
the Pythagorean theorem states: a^2 + b^2 = c^2
1) in this case a=18 and b1=25
18^2 + 25^2 = c1^2
324 + 625 = c1^2
949 = c1^2
√949 = c1
cca. 30.8 = c1
2) in this case a=18 and b' = b2 - b1 = 40 - 25 = 15
in the picture im attaching i highlighted the triangles we are working with, and there you can clearly see that b' (the horizontal line at the bottom of the red tr.) is the difference between the lines b2 and b1
now you can use the same technique as in the first case, and the final answer will be cca. 23.4 = c2
3) in this case a=18 and b'' = b4 - b3 = 75 - 55 = 20
same thing as number 2, final answer cca. 26.9 = c3
If A = {2, 3, 4, 5} B = {4, 5, 6, 7} C = {6, 7, 8, 9} D = {8, 9, 10, 11}, find (A ∪ B) ∪ C
Answer:
(AUB)UC=2,3,4,5,6,7,8,9
put all these numbers inside curly bracket
Step-by-step explanation:
In A Quiz Team a Scores -30 , 10 , 40 .
Team B scores 30 , 10 , -10 In Three Rounds.
Which Team Scored More . By How much
Answer:
Team B scored more. By 10.
(Team A) -30 + 10 = -20 + 40 = 20
(Team B) 30 + 10 = 40 + -10 = 30
Determine the volume if the figures below round to the nearest hundredth
Answer:
48 m³
4,186.67 km³
Step-by-step explanation:
volume of pyramid =
⅓×6×6×4 = 48 m³
volume of ball =
4/3 × 3.14 × 10³ = 4,186.67 km³
Please help with this brother and sisters
Answer:
3a/6b
Step-by-step explanation:
-5a/18b cannot be simplified. Therefore, 3a/6b and -5a/18b are not the same.
3a/6b can be simplified. Both the denominator and the numerator can be divided by 2. Therefore, the fraction will be a/2b. a/2b is equal to a/2b so 3a/6b is the correct answer.
If this helps please mark as brainliest
Answer:
B
Step-by-step explanation:
a*3=3a
2b*3=6b
Convert from 12 hour times to 24 hour clock.
Sr. #
12 hour clock
24 hour clock
i.
7:20 am
3:25 pm
1:16 pm
iv.
12:51 am
ans
Answer: See explanation
Step-by-step explanation:
To convert from 12 hours time to 24 hours time, we've to add 12 to it in the afternoon. Also, the 12 hours clock uses a.m and p.m while the 24 hours doesn't
i. 7:20 am = 07:20
ii. 3:25 pm = 15:25
iii. 1:16 pm = 13:16
iv. 12:51 am = 00:51
Which value of x is a solution of x < -2?
A.
-3
B. -2
C.
-1
D. 0
Answer:
A
Step-by-step explanation:
-3<-2
Solve For w
and X
x?
Answer:
w = 12.79
x = 5.81
Step-by-step explanation:
First, solve for w:
Find the last angle of the triangle. The sum of all the angles in a triangle is
180 degrees.
A+90+52=180, this gives you angle A as 38. Use this to find w
The cosine of an angle is equal to the ratio of the adjacent side to the hypotenuse.
Cos(B) = adj/hyp so Cos(B) = a/c rewrite as
c=10/Cos(B) or c = 10/0.61566147
c= 16.24
Now find the last side of the triangle using the Pythagorean theorem.
[tex]a^{2} +b^{2} =c^{2} \\or\\b^{2} = c^{2} -a^{2}[/tex]
which gives you b or in this case w = 12.79
You then need w for the 2nd triangle as well as the angle 31 and the angle next to 52, which is 180-52 = 128. The other missing angle x to the triangle is 180-31-128 = 21
The law of sines is based on the proportionality of sides and angles in triangles. The law states that for the angles of a non-right triangle, each angle of the triangle has the same ratio of angle measure to sine value.
sin(x)/x=sin(B)/b=sin(C)/c
sin31/b=sin(128)/12.79 = 8.359 then
sin21/x = sin31/8.359
therefor x = 5.81
A principal of $6000 is invested in an account paying an annual rate of 5%. Find the amount in the account after 3 years if the account is compounded semiannually, quarterly, and monthly.
Answer = Is this the correct answer $18900
Step-by-step explanation:
Answer:
principal=$6000
rate=5%
time=3 years
first find interest
interest=P*T*R/100
=$6000*3*5/100
=$900
so to find amout use formula ,
Amount=principal+Interest
=$6000+$900
=$6900
Step-by-step explanation:
Therefore Amount=$6900
What is the probability that a randomly selected person supports the new station??
Best answer gets brainliest!! Please help
Answer:
.52
Step-by-step explanation:
We can write an equation
supports/all
we can see that 27 males and 25 females support which means that
27+25= 52 total people support
now we just need to find the number of people surveyed
we do this by summing everything
27+25+18+13+5+12=100
52/100 = .52
Answer:
.52
Step-by-step explanation:
Add both male and female supports to get 52
then add all the numbers to get a total of 100
52/100=.52
Find the surface area of the hemisphere 6cm
Answer:
452.4 cm^2
Step-by-step explanation:
[tex]a = 4\pi {r}^{2} \\ a = 4 \pi \times (6)^{2} \\ a = 452.4 \: cm^{2} [/tex]
I hope that is useful for you :)
Find the missing side lengths, leave your answers as radical in simplest form. ( Please answer ASAP!)
Answer:
9) a = 8, b = 4√2
10) x = 7√2, y = 7
11) x = 5√2, y = 5
12) a = 10, b = 5√2
Step-by-step explanation:
You can notice all these triangles are special as 45° - 45° - 90° triangles. In 45° - 45° - 90° triangles, the hypotenuse is √2 times the sides. We can set up these equations and solve:
9)
a = 4√2 * √2
a = 8
Since the triangle is isosceles, the legs are the same length, so:
b = 4√2
10)
x = 7 * √2
x = 7√2
Since the triangle is isosceles, the legs are the same length, so:
y = 7
11)
x = 5 * √2
x = 5√2
Since the triangle is isosceles, the legs are the same length, so:
y = 5
12)
a = 5√2 * √2
a = 10
Since the triangle is isosceles, the legs are the same length, so:
b = 5√2
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answer:
rounded = 6.1
Step-by-step explanation:
a^2+b^2=c^2
lol help
How many tennis balls would fit inside of the classroom if the room is 30 ft. by
40 ft with 9 ft ceilings?
Answer:
what question is thiswho would count the balls as many which can fit in it
Answer:
Hypothesis: Whitney thought that 5,000 tennis balls would fit into the room, whereas I ... We then figured out that the ceiling juts, the windows, and the corner windows are ... We had to find the height of the room, too, which was about 9 feet.
Find the surface area of the regular pyramids. Round your answer to the nearest tenth.
Answer:
S.A = 147.35 cm²
Step-by-step explanation:
Surface area of the triangular pyramid = base area + ½(perimeter of base*slant height)
Base area = ½*bh
b = 7 cm
h = 6.1 cm
Base area = ½*7*6.1 = 21.35 cm²
Perimeter of triangular base = 7 + 7 + 7 = 21 cm
slant height = 12 cm
Plug in the values into the equation
S.A = 21.35 + ½(21*12)
S.A = 21.35 + 126
S.A = 147.35 cm²
What is the best way to gather information for each of the scenarios? Select Survey, Experiment, or Observational study for each scenario. Survey Experiment Observational study A director wants to know what his singers do before a performance. Survey – A director wants to know what his singers do before a performance. Experiment – A director wants to know what his singers do before a performance. Observational study – A director wants to know what his singers do before a performance. A director wants to know who his best soprano is. Survey – A director wants to know who his best soprano is. Experiment – A director wants to know who his best soprano is. Observational study – A director wants to know who his best soprano is. A director wants to know how verbally disciplining a singer affects the group. Survey – A director wants to know how verbally disciplining a singer affects the group. Experiment – A director wants to know how verbally disciplining a singer affects the group. Observational study – A director wants to know how verbally disciplining a singer affects the group. A director wants to know what musical is the most popular in the community. Survey – A director wants to know what musical is the most popular in the community. Experiment – A director wants to know what musical is the most popular in the community. Observational study – A director wants to know what musical is the most popular in the community.
Answer:
1. A director wants to know what his singers do before a performance. - Survey
2. A director wants to know who his best soprano is. - Observational Study
3. A director wants to know how verbally disciplining a singer affects the group. - Observational Study
4. A director wants to know what musical is the most popular in the community. - Survey
Step-by-step explanation:
I just took the same quiz :)
One species makes up 40% of the apes in the zoo. Which species is it?
Answer:
The chimpanzee of course
Step-by-step explanation:
bottom text.
Answer:
chimpanzee
Step-by-step explanation:
total is 50 so 20*2 is 40%
A parallelogram is shown below:
A parallelogram ABCD is shown with DC equal to 3 feet and the perpendicular distance between AB and DC equal to 2 over 3 foot.
Part A: What is the area of the parallelogram? Show your work. (5 points)
Part B: How can you decompose this parallelogram into two triangles? If this parallelogram was decomposed into two triangles, what would be the area of each triangle? (5 points)
9514 1404 393
Answer:
A. 2 square feet
B. draw a diagonal; 1 square foot
Step-by-step explanation:
A. The area of a parallelogram is given by the formula ...
A = bh
Here the base (b) is 3 feet, and the height (h) is 2/3 ft. The area is ...
A = (3 ft)(2/3 ft) = 2 ft^2 . . . . area of the parallelogram
__
B. Drawing a diagonal (AC or BD) will divide the figure into two congruent triangles. Each triangle has the same base and height as the original parallelogram. The area of one of the triangles is given by ...
A = 1/2bh
Using the given dimensions, ...
A = 1/2(3 ft)(2/3 ft) = 1 ft^2 . . . . area of one triangle
The mean monthly rent of students at Oxnard University is $750 with a standard deviation of $240. (a) John's rent is $1,335. What is his standardized z-score? (Round your answer to 3 decimal places.)
Answer:
750 add all of them sjshwbwai
How many fewer students voted for oranges than voted for apples or grapes combined?
Answer:
can you pt the question so we understand and then I can edit my thin to have the right answer
Step-by-step explanation:
Would you classify 110 as a perfect square, perfect cube, both, or neither?
Answer:
110 is not a perfect square.
Step-by-step explanation:
A perfect square is a number that can be expressed as the product of two equal integers.
HELP ME PLZZ HELP MATH EASY PLZ I WILL GIVE BRAINLY IEST
Find the equationFind the equation (in terms of
x
) of the line through the points (-4,-5) and (3,5) (in terms of x ) of the line through the points (-4,-5) and (3,5)
Answer:
Step-by-step explanation:
Given the following data;
Points on the x-axis (x1, x2) = (-4, 3)
Points on the y-axis (y1, y2) = (-5, 5)
To find the equation of line in terms of x;
First of all, we would determine the slope of the line;
Mathematically, slope is given by the formula;
[tex] Slope = \frac{Change \; in \; y \; axis}{Change \; in \; x \; axis} [/tex]
[tex] Slope, m = \frac {y_{2} - y_{1}}{x_{2} - x_{1}} [/tex]
Substituting into the equation, we have;
[tex] Slope, m = \frac {5 - (-5)}{3 - (-4)} [/tex]
[tex] Slope, m = \frac {10}{7} [/tex]
Slope, m = 10/7
Next, we find the equation;
y - y1 = m(x - x1)
y - (-5) = 10/7(x -(-4))
y + 5 = 10/7(x +4)
The total price, P, of pumpkin pies purchased is directly proportional to the number
of pies purchased. If 3 pumpkin pies are bought for $19.50, what will 5 pumpkin pies
cost?
Answer:
$32.50
Step-by-step explanation:
Let x = the cost of 5 pumpkin pies
19.50/3 = x /5 Cross multiply
3x = 97.50
x = $32.50
Three potential employees took an aptitude test. Each person took a different version of the test. The scores are reported below. Demetria got a score of 85.185.1; this version has a mean of 61.1 and a standard deviation of 12. Vincent got a score of 299.2; this version has a mean of 264 and a standard deviation of 22. Tobias got a score of 7.26; this version has a mean of 7.1 and a standard deviation of 0.4.
Required:
If the company has only one position to fill and prefers to fill it with the applicant who performed best on the aptitude test, which of the applicants should be offered the job?
Answer:
Due to the higher Z-score, Demetria should be offered the job.
Step-by-step explanation:
Z-score:
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
In this question:
Whichever applicant had grade with the highest z-score should be offered the job.
Demetria got a score of 85.1; this version has a mean of 61.1 and a standard deviation of 12.
For Demetria, we have [tex]X = 85.1, \mu = 61.1, \sigma = 12[/tex]. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{85.1 - 61.1}{12}[/tex]
[tex]Z = 2[/tex]
Vincent got a score of 299.2; this version has a mean of 264 and a standard deviation of 22.
For Vincent, we have [tex]X = 299.2, \mu = 264, \sigma = 22[/tex].
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{299.2 - 264}{22}[/tex]
[tex]Z = 1.6[/tex]
Tobias got a score of 7.26; this version has a mean of 7.1 and a standard deviation of 0.4.
For Tobias, we have [tex]X = 7.26, \mu = 7.1, \sigma = 0.4[/tex].
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{7.26 - 7.1}{0.4}[/tex]
[tex]Z = 0.4[/tex]
Due to the higher Z-score, Demetria should be offered the job.
Help please! Much appreciated
Answer:
a. Sin B = 15/17
b. Cos B = 8/17
c. Tan B = 15/8
Step-by-step explanation:
Recall: SOHCAHTOA
Reference angle = B
Opp = 15
Adjacent = 8
Hypotenuse = 17
a. Sin B = Opp/Hyp (applying SOH)
Substitute
Sin B = 15/17
b. Cos B = Adj/Hyp
Substitute
Cos B = 8/17
c. Tan B = Opp/Adj
Substitute
Tan B = 15/8