The 4 reasons for the Algebra proof are respectively;
Given; Distributive property; Addition Property; Division Property
How to use algebra properties?We want to use algebra properties to find the value of x in the expression; -5(x + 4) = 90
Statement 1; -5(x + 4) = 90
Reason 1; Given
Statement 2; -5x - 20 = 90
Reason 2; Distributive property of Algebra because we distributed -5 into the bracket terms.
Statement 3; -5x = 110
Reason 3; Addition property of equality because we added 20 to both sides to achieve that.
Statement 4; x = -22
Reason 4; Division property of equality because we divided both sides by -5 to obtain x = -22.
Thus, the 4 reasons are respectively;
Given; Distributive property; Addition Property; Division Property
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!! IMPORTANT !! WILL GIVE BRAINLIEST !!
Lorene plans to make several open-topped boxes in which to carry plants. She makes the boxes from rectangular sheets of cardboard from which she cuts out 10-in squares from each corner. The length of the original piece of cardboard is 20 inches more than the width. If the volume of the box is 1250 in^3, determine the dimensions of the original piece of cardboard.
(figure of the problem is shown in attached picture)
The dimensions of the original piece of cardboard are _ inches by _ inches.
!! PLEASE HELP !! THANKS !!
Answer:
25 in by 45 in.
Step-by-step explanation:
The length of the box will be x + 20 - 10 - 10 = x
The width of the box will be x - 10 - 10 = x - 20
The height of the box will be 10
So the volume = length x width x height
= x(x - 20)10 = 1250
= [tex]10x^{2} - 200x = 1250[/tex]
[tex]10x^{2} -200x - 1250 = 0[/tex]
[tex]10(x^{2} -20x - 125)\\[/tex] = 0
10(x + 5)(x - 25) =0
x = -5 x = 25
- 5 must be discarded since a length cannot be negative.
Therefore x = 25 in = width of piece of cardboard
x + 20 = 25 + 20 = 45 in = length of piece of cardboard
v= u + at, find v, when u = 12, a = 5 and t = 7
Answer:
V=47
Step-by-step explanation:
12+5x7
12+35
47
Answer:
Final velocity (v) = 47 m/s
Step-by-step explanation:
u = 12
a = 5
t = 7
v = ?
v = u + at (first law of motion)
v = 12 + (5 × 7)
v = 12 + 35
v = 47 m/s.
Question #4
The radius of a circle is 12 inches.
Enter the circumference of the circle, in inches. Round your answer
to the nearest hundredth.
Answer:
80.11 inches
Step-by-step explanation:
The formula to finding the circumference of a circle is:
C = 2πr (C = circumference, π = pi, r = radius)
Replace r with the radius:
C = 2π(12.75)
Now, multiply 2 times pi, then multiply that by 12.75, and the answer rounded
to the nearest hundredth is 80.11
what's the correct answer please
A mite measures 0.00091 of a meter long. Which of the following correctly represents this in Scientific Notation?
9.1x10^4
9.1x10^-4
9.1x10^3
9.1x10^-3
Answer:
9.1x- 10000
9.1 x 10^-4
Step-by-step explanation:
b
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer:
Step-by-step explanation:
(5, 38) (6, 39)
(39 - 38)/(6 - 5) = 1/1= 1
y - 38 = x - 5
y = x + 33
Which set of ordered pairs represents a linear relationship?
A {(0, 1), (2, 2), (-2, 0), (4,3)}
B. {(0, -2), (1, 1), (-1,-3), (2, 3)}
C. {(0, -1), (1, 1), (-1,-2), (2,3)}
D. {(0, -2.5), (5, 2.5), (1, -2.5), (-1, -3.5)}
Answer:
A
Step-by-step explanation:
The population of a school will increase by 3% per year. In 2005, the population was 127 students. Use a graph to find when the population will be
Enter the correct year in the box.
Using an exponential function, it is found that the population will be of 350 students in the year of 2039, 34.3 years after 2005.
What is an exponential function?An increasing exponential function is modeled according to the rule presented as follows:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which the parameters of the equation is defined as follows:
A(0) is the initial amount of the function.r is the growth rate of the function, as a decimal.In the context of this problem, the values of the parameters are given as follows:
A(0) = 127, which is the number of students in the reference year of 2005.r = 0.03, which is the yearly increase rate.Hence the equation for the number of students in t years after 2005 is given as follows:
[tex]A(t) = 127(1.03)^t[/tex]
The number will be of 350 students when A(t) = 350, hence:
[tex]A(t) = 127(1.03)^t[/tex]
[tex]350 = 127(1.03)^t[/tex]
[tex](1.03)^t = \frac{350}{127}[/tex]
[tex]\log{(1.03)^t} = \log{\left(\frac{350}{127}\right)}[/tex]
[tex]t\log{1.03} = \log{\left(\frac{350}{127}\right)}[/tex]
[tex]t = \frac{\log{\left(\frac{350}{127}\right)}}{\log{1.03}}[/tex]
t = 34.3 years.
34.3 years = during the year of 2005 + 34.3 = 2039. This result is shown by the graph at the end of the answer.
Missing InformationThe problem asks for when the population will be of 350 students.
More can be learned about exponential functions at https://brainly.com/question/25537936
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Slope of (-2,-1) and (2,-3)
SLOPE is the picture.
Point-Slope form is y+1=-1/2*(x+2)
The y=mx+b form is y=-1/2x-2
i hope its not confusing lol
15x > - 60
Help and I’ll give u brainlist :)
Answer:
most likely 1 or 20 but im not so sure tho
A recent General Social Survey asked respondents how many close friends they had. For a sample of 1467 people, the mean was 7.4 and the standard deviation was 11.0. The distribution had a median of 5 and a mode of 4.Based on these statistics, would you expect this distribution to be bell-shaped, left skewed, or right skewed?
Answer:
This distribution should be expected to be right skewed.
Step-by-step explanation:
Pearson skewness:
The skewness of a data set is given by the subtraction of the mean by the mode, divided by the standard deviation.
If the coefficient is positive, the distribution is right skewed.
If the coefficient is negative, the distribution is left skewed.
If the coefficient is sufficiently close to 0(+/- 0.05), the distribution is bell shaped.
In this question:
Mean 7.4, mode 4, standard deviation 11
(7.4-4)/11 = 3.4/11 = 0.31
Positive coefficient, so right skewed.
The length of a rectangle is 3 meters greater than 2 times the width, The perimeter of rectangle is 30 meters
Answer: 1= A/w
Step-by-step explanation:
SOMEONE PLS HELP ME
Answer:
4
Step-by-step explanation:
hope this helps
Answer:
The slope is 2
Step-by-step explanation:
its 6/3 and if you simplify that its 2
What is -8x-9-5+9 plz help
Answer:
-8x - 5
Step-by-step explanation:
-8x - 9 - 5 + 9 = -8x - 5
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
I need help with this question
Answer:
j-10=35
j is 45
Step-by-step explanation:
35+10=45
How many 1/2 cup servings are in 6 cups of grapes?
Answer:
There are 12
Step-by-step explanation:
hope this helps.
PLEASE PLEASE HELP 30 POINTS AND WILL GIVE BRAINIEST
what is the measure of angle ABC
what is the measure of angle CBE
what is the measure of angle DBE
what is the measure of angle ABD
Answer:
Please read down below, thanks
Step-by-step explanation:
Vertical angles are always equal.
Because the two expression we have are equal, we can make the equation:
4x + 2 = 5x - 13
Let's move x to one side and the constants to the other side.
Subtract both sides by 4x and add both sides by 13
15 = x
Now we know x = 15, we can solve for the angles.
∠ABC is 4x + 2 so: 4(15) + 2 = 47 degrees
∠CBE added up with ∠ABC is 180 degrees so: 180 - 47 = 133 degrees
∠DBE is the same as ∠ABC so: 47 degrees
∠ABD is also the same as ∠CBE so: 133 degrees
Given that sin(t) = 0.8 and cos(t) < 0, find the values of the other 5 trigonometric functions.
Answer:
dhsuaehcusjr ushebdhzsjr
What is 3/4. Of 44 in the amazing mathematics
Answer:
3/4 of 44 is 33
Step-by-step explanation:
33
Answer:
33
Step-by-step explanation:
Ismail has 44 sweets more than Johan. If the number of sweets Johan has is of the
7/11 of the number of sweets Ismail has, how many sweets do they have altogether?
Answer:
121
Step-by-step explanation:
Find out the amount of units Ismail have more than Johan.
11 - 7 = 4 units
Since Ismail has 44 more sweets than Johan and 4 more units..
4 units = 44
1 units = 44 ÷ 4 = 11
Altogether, there's 11 units.
11 units = 11 x 11 = 121
Find the value of x.
m2 = x + 85
2
73°
Answer:
-12
Step-by-step explanation:
in an iscocles, the base angles equal eachother so,
73=x+85
x=-12
A car dealer is interested in comparing the average gas mileages of four different car models. The dealer believes that the average gas mileage of a particular car will vary depending on the person who is driving the car due to different driving styles. Because of this, he decides to use a randomized block design. He randomly selects five drivers and asks them to drive each of the cars. He then determines the average gas mileage for each car and each driver. Can the dealer conclude that there is a significant difference in average gas mileages of the four car models? The results of the study are as follows.
Find the value of the F-test statistic for testing whether the average gas mileage is the same for the four car models. Round your answer to two decimal places, if necessary.
Car A Car B Car C Car D
Driver 1 23 39 22 25
Driver 2 37 39 28 39
Driver 3 39 40 21 25
Driver 4 34 36 27 33
Driver 5 27 35 26 37
Required:
Make the decision to reject or fail to reject the null hypothesis that there is no difference in the average gas mileages of the four car models. State the conclusion in terms of the original problem. Use alpha = 0.01.
a. We reject the null hypothesis. At the 0.01 level of significance, there is sufficient evidence of a difference in average gas mileages of the four car models.
b. We fail to reject the null hypothesis. At the 0.01 level of significance, there is not sufficient evidence of a difference in average gas mileages of the four car models.
c. We fail to reject the null hypothesis. At the 0.01 level of significance, there is sufficient evidence of a difference in average gas mileages of the four car models.
d. We reject the null hypothesis. At the 0.01 level of significance, there is not sufficient evidence of a difference in average gas mileages of the four car models.
Answer:
We reject the null hypothesis at the 0.01 level of significance, there is sufficient evidence of a difference in average gas mileages of the four car models ( A )
Step-by-step explanation:
Using the Given data we will apply the two way ANOVA without
source of variation SS df MS F
Block 148.80 4 37.20 1.68
Treatment 424.40 3 141.47 6.39
Error 265.60 12 22.13
Total 838.80 19
From the Two way ANOVA table the F-statistic = 6.39
Solve the parallelogram for x MARKINF people as brainlist
Answer:
in the question there must be the area of the parallelogram given...
A store has apples on sale for $21.00 for 6 pounds. If an apple is approximately 5 ounces, how many apples can you buy for $168.00? Complete the explanation.
The cost per pound of the apples on sale is $__.
You can buy ___
pounds of apples for $168.00.
Since 1 pound = 16 ounces, so there are about ___
apples in each pound.
You can buy approximately ___
apples for $168.00.
Answer:
34
Step-by-step explanation:
168÷5=8
Divided The Cost By The Pounds
Berapakah volume bangun di atas?
Pake cara yya !
Answer:
Volume of the figure = 64 cm³
Step-by-step explanation:
Volume of the given figure = Volume of complete cuboid - volume of the cuboid having one face as ABCD
Volume of complete cuboid = Length × Width × Height
= 10 × 2 × 6
= 120 cm³
Volume of the part having one face as ABCD = AB × BF × BC
= 7 × 2 × (6 - 2)
= 56 cm³
Volume of the given figure in the picture = 120 - 56
= 64 cm³
Therefore, volume of the figure = 64 cm³
Which of these best describes a pair of supplementary angles?
a . Two angles whose sum is 90°.
b . Two non-adjacent angles formed by the intersection of two lines.
c . Two angles whose sum is 180°
d . Two angles that share a common side and vertex with no common interior points.
Answer:
c . Two angles whose sum is 180°
Step-by-step explanation:
Hope it helps you in your learning process
he mayor of a town has proposed a plan for the construction of an adjoining community. A political study took a sample of 16001600 voters in the town and found that 344% of the residents favored construction. Using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is over 311%. Find the value of the test statistic. Round your answer to two decimal places.
Answer:
2.60
Step-by-step explanation:
Given that:
n = 1600
[tex]\hat p = 0.34[/tex]
[tex]P_o = 0.31[/tex]
The test statistics can be computed as:
[tex]Z = \dfrac{\hat p - P_o}{\sqrt{ \dfrac{P_o\times (1-P_o) } {n} }}[/tex]
[tex]Z = \dfrac{0.34-0.31}{\sqrt{ \dfrac{0.31 \times (1-0.31) } {1600} }}[/tex]
[tex]Z = \dfrac{0.03}{\sqrt{ \dfrac{0.31 \times (0.69) } {1600} }}[/tex]
[tex]Z = \dfrac{0.03}{\sqrt{ \dfrac{0.2139} {1600} }}[/tex]
[tex]Z = 2.60[/tex]
solve the equation 8 + b = 26 and b=
It will take 48 hours of work to complete the garden.
The garden must be finished in 3 days.
Each gardener works for 8 hours per day.
How many gardeners are needed?
If it takes 1/2 hour to walk 2/7 of a field, how long will it take to walk the whole field
Answer:
1 hr 45 min
Step-by-step explanation:
so to get one from 2/7 me multiply by 7/2
so if we also multiply the time by 7/2
we get 1/2*7/2=7/4 hour
1 and 3/4 hour or
1 hr 45 min
Answer:
1hour 45 minutes
Step-by-step explanation:
2\7= 30min
7\7=7\7×30÷2\7=7\7×30×7\2=105mins
1h=60min
=105min
105÷60=1 1\4 hour
C. Find the value of x below:
15.r + 5
-2 + 16.
Answer:
7
Step-by-step explanation:
(15x + 5) and (-2 + 16x) represents the measures of corresponding angles.
Measures of corresponding angles are equal.
Therefore,
- 2 + 16x = 15x + 5
16x - 15x = 5 + 2
x = 7