Answer:
The field is 100 yards wide.
Step-by-step explanation:
Given that the relationship between the length and width of the rectangular field is 3 to 2, and that said field is 150 yards long, the following calculation must be performed to determine its width:
((150/3) x 2) = X
50 x 2 = X
100 = X
Thus, the common largest divisor between both numbers is obtained, and the relationship from 3 to 2 is established based on said number. Therefore, the rectangular field is 100 yards wide by 150 yards long.
Bill takes a loan of $9000 at a 8% simple interest rate for 6 years.
A. How much interest will he pay after 2 years?
B. How much interest will he pay in total for the loan?
a. $ 720.00; $3,600.00
b. $36,000.00; $ 12,000.00
C. $1440.00; $4,320.00
D. $ 1,408.00; $4,224.00
Answer: you have to divide
Step-by-step explanation:
Tyler’s brother earns a commission. He makes 2.5% of the amount he sells. Last week, he sold $900 worth of shoes. How much was his commission?
Answer:
$22.5
Step-by-step explanation:
multiply 900 by .025 to get 22.5.
When you multiply by a percentage to find an ammount, move the decimal place over to the left by 2 places and then multiply by the number (in this case 900). Whatever number you recieve is the answer.
The total commission Tyler's brother was earn is $22.5 and this can be determined by using the unitary method.
Given :
Tyler’s brother earns a commission. He makes 2.5% of the amount he sells.Last week, he sold $900 worth of shoes.The following steps can be used in order to determine the total commission Tyler's brother was earn:
Step 1 - The unitary method can be used in order to determine the total commission Tyler's brother was earn.
Step 2 - According to the given data, he sold $900 worth of shoes which is 100% value.
Step 3 - If 100% is $900 then the value of 2.5% is:
[tex]=\dfrac{2.5}{100}\times 900[/tex]
Step 4 - Simplify the above expression.
= $22.5
For more information, refer to the link given below:
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see image help me as fast as possible, please
Answer: 11.4
Step-by-step explanation:
area of rect. = 24
area of circle (half circle+half circle = full circle) = pi*r^2 = pi*(2*2) = pi*4 = about 12.57
2 = radius since 4 = diameter
24-12.57 = 11.43
round = 11.4
Answer:
11.4
Step-by-step explanation:
Area=area of rectangle-area of circle
=6*4 -pi(2^2)
=11.4
area of circle =pi (r^2)
r-radius of circle
. A sample of 250 cans of peas showed an average weight of 14 ounces with a standard deviation of 0.7 ounces. If the distribution is relatively normal, how many cans will weigh over 14.7 ounces?
Answer:
40 cans weigh over 14.7 ounces
Step-by-step explanation:
Given
Mean = 14 ounces
SD = 0.7
We have to find the z-score for 14.7 first
[tex]z = \frac{14.7-14}{0.7}\\z = \frac{0.7}{0.7} = 1[/tex]
As we have to find the number of cans greater than 14.7, forst we will find the area to the left of obtained z-score and then subtract from 1.
So,
P(z<1) = 0.8413
Now,
P(z>1) = 1 - P(z<1) = 1-0.8413 = 0.1587
As the total number of cans is 250,
The cans which weigh over 14.7 are:
= 0.1587 * 250
= 39.675
Rounding off to nearest whole number
40 cans
Hence,
40 cans weigh over 14.7 ounces
Answer:
40 cans
Step-by-step explanation:
round your final answer to get 40
41 times what would get you to 57?
Answer:
57/41
Step-by-step explanation:
41 * x = 57
x = 57/41
Solve x^2+ 8x- 6=0 using the Quadratic Formula
Answer:
x=−4+√22 or x=−4−√22
Step-by-step explanation:
Substitute all values in the quadratic formula.
Solve.
Answer:
[tex]\boxed {\sf x= {{ - 4\pm \sqrt{22} }}}[/tex]
Step-by-step explanation:
The quadratic equation is used to find the roots of a quadratic. The formula is:
[tex]x = \frac{{ - b \pm \sqrt {b^2 - 4ac} }}{{2a}}[/tex]
when [tex]{ax^2 + bx + c = 0}[/tex]
We are given the quadratic: [tex]x^2+8x-6=0[/tex]
If we compare the given quadratic to the standard form of a quadratic, then:
[tex]a= 1\\b=8 \\c= -6[/tex]
Substitute the values into the formula.
[tex]x = \frac{{ - 8\pm \sqrt {8^2 - 4(1)(-6)} }}{{2(1)}}[/tex]
Solve inside the radical first.
Solve the exponent.
8²= 8*8= 64[tex]x = \frac{{ - 8\pm \sqrt {64 - 4(1)(-6)} }}{{2(1)}}[/tex]
Multiply 4, 1, and -6.
4(1)(-6)= 4(-6)= -24[tex]x = \frac{{ - 8\pm \sqrt {64 - -24}}}{{2(1)}}[/tex]
Add 64 and 24 (2 negative signs become a positive)
64- -24 64+24=88[tex]x = \frac{{ - 8\pm \sqrt {88}}}{{2(1)}}[/tex]
Solve the denominator.
[tex]x = \frac{{ - 8\pm \sqrt {88}}}{{2}}[/tex]
The radical can be simplified. 88 is divisible by a perfect square: 4
[tex]x= \frac{{ - 8\pm \sqrt {4}\sqrt{22} }}{{2}}[/tex]
Take the square root of 4.
[tex]x= \frac{{ - 8\pm 2\sqrt{22} }}{{2}}[/tex]
Divide by 2.
[tex]x= {{ - 4\pm \sqrt{22} }}[/tex]
The roots are: x=0.690416 and x=−8.69042
اسحب الإجابة الصحيحة إلى مكانها المناسب.
سر سعيد 5 كيلوجراما من وزنه خلال 4 أسابيع ، فكم كيلوجراما خير في الأسبوع الواحد؟
Above is the layout of a running track and inside the track is a field. If it costs $5.00 /m2 for soil for the field,
describe how you would determine the total cost to cover the field with soil. help!
Answer:
We can think in the area as:
A rectangle of 100m by 64m
And two half circles (o a whole circle if we combine them) of diameter = 64m
Then we need to calculate the area of these two figures and then sum them.
The area of a rectangle of width W and length L is:
A = A*L
then the area of the rectangle will be:
A1 = 100m*64m = 6400m^2
The area of a circle of diameter d is:
A = pi*(d/2)^2
in this case, d = 64m
pi = 3.14
Then:
A2 = 3.14*(64m/2)^2 = 3215.35m^2
The total area of the field is:
A = A1 + A2 = 6400m^2 + 3215.35m^2 = 9615.36 m^2
Now, we know that the cost per square meter is $5.00
Then the total cost will be:
Cost = A*$5.00/m^2 = 9615.36 m^2*$5.00/m^2 = $35215.36
You use a line of best fit for a set of data to make a prediction about an unknown value. The correlation coefficient for your data set is -0.833. Can you be confident that your predicted value will be reasonably close to the actual value? Why or why not?
The correlation Coefficient gives the measure of the strength and direction of the relationship between two variables. - 0.833 depicts a strong negative relationship. Hence, one can be confident that the predicted value will be close to the actual Value.
The Correlation Coefficient, R ranges from - 1 to 1, with values closer to - 1 and 1 representing strong negative and positive relationship respectively, which is only achieved of the data is modeled very well.
Therefore, since, - 0.833 is a strong correlation Coefficient, then we can be confident in the predicted value.
Learn more : https://brainly.com/question/19805544
2+2=....... easy points...
Answer:
Either 4, 22, or 44
Step-by-step explanation:
Choose one :)
Thank you!
Answer:
4
2+2=4 it is easyyy
I need help on this pls help me
Answer:
irrational numbers is in the red rectangle, rational numbers is outside both circles on the left, integers is in the purple circle, whole numbers is in the blue circle
false
true
true
true
Step-by-step explanation:
Graph the line that contains the point (-3,1) with a slope of 2/3
Answer:
The graph of the line [tex]y=\frac{2}{3}x+3[/tex] that contains the point (-3,1) with a slope of 2/3 is attached below.
Step-by-step explanation:
We know that the slop-intercept form of the equation is
[tex]y=mx+b[/tex]
where m is the slope, and b is the y-intercept.
Given the slope = m = 2/3, and point (-3, 1)
[tex]1=\frac{2}{3}\left(-3\right)+b[/tex]
[tex]-\frac{2}{3}\cdot \:3+b=1[/tex]
[tex]-2+b=1[/tex]
[tex]b=3[/tex]
so the equation of line will be:
[tex]y=mx+b[/tex]
[tex]y=\frac{2}{3}x+3[/tex]
Also, the graph of the line [tex]y=\frac{2}{3}x+3[/tex] that contains the point (-3,1) with a slope of 2/3 is attached below.
70 72 76 90 what will go before 90
Answer:
78
Step-by-step explanation:
Jane has 34 candles leftover from the last craft show and Brianna has 2 candles. They are making more candles for the next show. Jane makes 24 candles per hour and Brianna makes 32 candles per hour. They are also going to use the candles leftover from the last show and want to have the same number of candles at their stalls for this show. Let represent the number of hours they need to work for this.
Answer:
plz
Step-by-step explanation:
thx
Answer:
its 4 hours
Step-by-step explanation:
Which correct variables describes the slope?
A.X/Y
B.Y/X
C.W/Z
D.Z/W
Answer:
c
Step-by-step explanation:
i took the test.
What is the unit rate for 3 gallons of paint for $16.50?
Answer:
$5.50 per gallon of paint
Step-by-step explanation:
To check answer: Divide: 16.50 ÷ 3
What are 2 ratios equivalent to 3:12
Answer:
6/24
Step-by-step explanation:
Well, this ratio would be written as 6/24. Using your knowledge of equivalent fractions, you can see that 3/12 = 6/24 (multiply the numerator and denominator of 3/12 by 2 and you get 6/24.
Hope this helps you.
Mark as Brainliest Please.!!!
Train A leaves a station traveling at 28 km/hr. Two hours later train B leaves the same
station traveling in the same direction at 84 km/hr. How many hours will it take train B to
catch up to train A?
it will take 1 hour to catch up to train a but if the question means from as soon as train a leaves, it is 3 hours.
The time taken by train B to cover the distance of 56 km when the train at the station is in 1 hour.
What is kinematics?It is the study of the motion of a body without considering mass. And the reason behind them is neglected.
Train A leaves a station traveling at 28 km/hr.
Two hours later train B leaves the same station traveling in the same direction at 84 km/hr.
The distance traveled by the train A in two hours will be
[tex]\rm D_A=28 \times 2 = 56 km[/tex]
Then the distance between the trains when train B is at the station is 56 km.
Then the relative speed of the train will be
[tex]\rm V_{BA} =84 - 28 = 56 \ km/hr[/tex]
Then the time taken by train B to cover the distance of 56 km is in 1 hour.
More about the kinematics link is given below.
https://brainly.com/question/25638908
Will mark brainliest, PLEASE! A department buys 300 shirts at a cost of $1,800 and sells them for $10 each. Find the percent markup rounded to the nearest percent
Answer:
=166.66% markup
Step-by-step explanation:
1800/300 = $6 a shirt
If they're being sold for $10
10/6 =5/3
=1.666
x100
=166.66% markup
Quickest answer receives Brainliest, but try your best! Trolls will not receive Brainliest.
Q: The graph shows the cost C in dollars of w pounds of blueberries, a proportional relationship. Select ALL the true statements.
A. 1 lb (pound) of blueberries cost $2.75
B. 2.75 lbs (pounds) of blueberries cost $1
C. 5 lbs (pounds) of blueberries cost $15.50
D. 12 lbs (pounds) of blueberries cost $33
E. The point (3,9) is on the graph of the proportional relationship.
A, D
Step-by-step explanation:
Cost ($) = C
lbs (Blueberries) = W
One pound of blueberries costs $2.75 because to find how much 1 lb is you need to divide by 6.
6 is the number of pounds at that point in the graph, so you divide both the pounds and cost by 6 to find how much 1 lb is.
To find how much 5 lbs costs, multiply both the cost and number of pounds ($2.75 to 1 lb) by 5.
2.75 * 5 is 13.75 (This means C is wrong)
Do the same but with 12 for D
2.75 * 12 is 33, so D is correct
You could do the same method as above for E, but the easier way to do this is to see that the relationship of 3:9 is equal to a 1:3 ratio, which is the same as what the pounds to cost ratio is (which is 1:2.75)
Hope this helps! ^_^
-TheUnknownScientist
In a study, a random sample of 2625 US adults were asked whether they agree or disagree that there is "only one true love for each person." The response and gender of the participants is shown in Table 1.
Male Female Total
Agree 372 363 735
Disagree 807 1005 1812
Don't know 34 44 78
Total 1213 1412 2625
Table 1 Is there only one true love for each person?
(a) Use the information in the table to construct a confidence interval for the difference in the proportion who agree, between males and females, using the fact that the standard error for the difference is .
Round your answers to three decimal places.
The 95% confidence interval is
to
.
(b) Is it plausible that there is no difference between males and females in the proportion who agree that each person has only one true love?
Using the information given, it is found that:
a.
The standard error for the difference is of 0.0176.
The 95% confidence interval is 0.0151 to 0.0841.
b.
Since 0 is not part of the confidence interval, it is not plausible that there is no difference between males and females in the proportion who agree that each person has only one true love.
What is the distribution of differences for the proportion of males and females?
For males, we have that:
[tex]n = 1213, p_M = \frac{372}{1213} = 0.3067, s_M = \sqrt{\frac{0.3067(0.6933)}{1213}} = 0.01324[/tex]
For females, we have that:
[tex]n = 1412, p_F = \frac{363}{1412} = 0.2571, s_F = \sqrt{\frac{0.2571(0.7429)}{1412}} = 0.01163[/tex]
The distribution of differences has mean and standard error given by:
[tex]p = p_M - p_F = 0.3067 - 0.2571 = 0.0496[/tex]
[tex]s = \sqrt{s_M^2 + s_F^2} = \sqrt{0.01324^2 + 0.01163^2} = 0.0176[/tex]
What is the confidence interval?It is given by:
[tex]p \pm zs[/tex]
z is the critical value, which considering that there is a 95% confidence level, it is of z = 1.96.
Then:
[tex]p - zs = 0.0496 - 1.96(0.0176) = 0.0151[/tex]
[tex]p + zs = 0.0496 + 1.96(0.0176) = 0.0841[/tex]
The 95% confidence interval is 0.0151 to 0.0841.
Item b:
Since 0 is not part of the confidence interval, it is not plausible that there is no difference between males and females in the proportion who agree that each person has only one true love.
More can be learned about confidence intervals at https://brainly.com/question/16162795
Given that ΔJKL ≅ ΔUVW and ΔUVW ≅ ΔABC, complete the following statements. Triangle JKL is congruent to triangle . Side LK corresponds to sides . Angle JLK corresponds to angles
Answer:
Triangle JKL is congruent to triangle
✔ ABC
.
Side LK corresponds to sides
✔ WV and CB
.
Angle JLK corresponds to angles
✔ UWV and ACB
.
Step-by-step explanation:
just did it on edge 2020
Triangle JKL is congruent to triangle ABC.
Side LK corresponds to sides BC.
Angle JLK corresponds to angles BAC.
What is congruent?In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.
As per the given information,
ΔJKL ≅ ΔUVW: This means that triangle JKL is congruent to triangle UVW. Congruent triangles have the same shape and size, so their corresponding angles and sides are equal in measure and length, respectively.
ΔUVW ≅ ΔABC: This means that triangle UVW is congruent to triangle ABC.
Combining these two pieces of information, we can conclude that:
ΔJKL ≅ ΔABC: This is because if two triangles are congruent to the same triangle, then they must be congruent to each other. Therefore, triangle JKL is congruent to triangle ABC.
Side LK corresponds to sides BC: Corresponding sides of congruent triangles are equal in length. In this case, side LK corresponds to side VW (since JKL ≅ UVW), which corresponds to side BC (since UVW ≅ ABC).
Angle JLK corresponds to angles BAC: Corresponding angles of congruent triangles are equal in measure. In this case, angle JLK corresponds to angle UVW (since JKL ≅ UVW), which corresponds to angle BAC (since UVW ≅ ABC).
So, we can say that triangle JKL is congruent to triangle ABC, side LK corresponds to sides BC, and angle JLK corresponds to angles BAC.
To learn more about the congruent;
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#SPJ7
A machinr in a factory produces 600 units each hour. How many units does the machine produce per minute?
Answer:
10 units
Step-by-step explanation:
600 units= 1 hour
1 hour= 60 minutes
600 units= 60 minutes
1 minute=600/60
1 minutes =10 units
Hope this helped! :)
#1 Jo estimates that a piece of ribbon measures 8.5 inches. If it actually measures 7.8 inches, what is the percent error of Jo’s estimate? *
Answer:
8.97 %
Step-by-step explanation:
error is 8.5 - 7.8 inches = 0.7 inches
now
x % of 7.8 = 0.7
7.8x/100 = 0.7
x = 70/7.8 %
= 8.97 %
Answer:
Jo's estimate was 109% the actual answer
Step-by-step explanation:
109% of 7.8 is 8.502, round up to 8.5
May I have brainliest please? :)
You spend half of your money on a movie ticket. Then you spend half of what you have left to buy a large popcorn. Then you spend half of what remains to buy a small drink. Which expression equals the fraction of money you have left?
Answer:
1/8
Step-by-step explanation:
1 divided by 2 = 1/2
1/2 divided by 2 = 1/4
1/4 divided by 2 = 1/8
Help me with this question i will give braibnly if right
There are 4 lines between each number so each line would be 1/4
A is at -1 1/2
B is -3/4
C is 3/4
D is 1 3/4
Complete the statement. Explain your
reasoning
7
3
26
8 4 15 C
Answer:
132 degree
Step-by-step explanation:
a and b are parallel and c is a transversal
so 2 and 3 are interior and they both equal 180
so 3 = 180-48= 132
Answer:
m<3=138
Step-by-step explanation:
m<2=42
m<1=m<3
180-42=138
m<1=138 m<3=138
m<1 and m<3 are alternate interior angles
graph the image of S (7, 8) after a reflection over the x-axis
9514 1404 393
Answer:
see below
Step-by-step explanation:
Reflection over the x-axis changes the sign of the y-coordinate. Points that were above the axis are reflected to be the same distance below the axis.
HELP MEEEEEEEEEEEE WILL GIBE BRAINLISTTTTTTT
Answer:
b
Step-by-step explanation:
Answer:
The answer is C, 2/9
Step-by-step explanation:
Since there 18 marbles in total and 4 blue marbles, that makes the probability 4/18. Although, 4/18 has to be simplified, which is 2/9
2. Paula learned to play a total of 10 pieces over the course of 5 weeks of piano lessons. In all, how
many weeks of piano lessons will Paula need before she will be able to play a total of 18 pieces?