What is the prime factorazation of 30??????????
Answer:
2 • 3 • 5
(30 is not a prime number.)
Use the following expression to
16 - (2 + 3 • 2) + 30 - 5
Part A: Which operation should be performed first to simplify the expression?
Part B: Simplify the expression.
Part C: In a short paragraph, explain in your own words your work in parts A and B.
Answer:
part A :BODMAS ( Bracket of Division Multiplication Addition Subtraction )
part b; Bracket (2+3.2) = - 2- 3.2
= 16- 2-3.2 +30-5
ADDITION:-3.2+30 = - 33.2
16-2(-33.2)30-5
14-33.2 +30-5
14-33.2 +25
-19.2+25
-44.2
Step-by-step explanation:
THE FOLLOWING EQUATION CAN ONLY BE SOLVED USING BODMAS
Give the reason for the last statement in the proof.
Answer:
its the linear par postulate because it talks about linear pairs
Answer:
Linear Pair Postulate
Step-by-step explanation: Complements is wrong because we are not trying to prove that two angles of different figures are congruent and we are given two angles are added up to 180 not 90. Supplements is wrong because we arent trying to prove that two angles of different figures are congruent. Vertical Angles is wrong becuase we dont know if these angles are made by intersecting lines. Linear Pair Postulate states that hat two angles that form a linear pair are supplementary; that is, their measures add up to 180 degrees.
what are the angles for a 9 sided plane figure?
Answer:
140...........
Step-by-step explanation:
plz make me brainliest
Answer:
A nonagon is also called enneagon, which is derived from a Greek word called enneagonon, which means nine corners. The first use of the word nonagon dates back to the early 17th century, and has a Latin prefix (nona) and a Greek suffix (gon), making it a polygon with nine sides and nine angles.
Your company offers two types of insurance plans:
• Option A costs $20 per doctor visit.
• Option B requires you to pay a $250 deductible to activate
your coverage and $10 per visit.
10. Enter an equation that can be used to find the number of visits (v) needed for
the two plans to cost you the same amount.
PLEASE I NEED THE ANSWER RIGHT NOW I WILL MARK YOU THE BRAINEST
can I have brainliest if I answer
On a certain hot summer's day, 346 people used the public swimming pool. The daily prices are $1.75 for children and $2.00 for adults. The
receipts for admission totaled $640.00. How many children and how many adults swam at the public pool that day?
The graph shows a transformation of circle M to circle N. Which statement describes the transformation of circle M to circle N?
Answer:
C
Step-by-step explanation:
Got it right on ed 2021
There are 12 plants in 3 rows. How many plants are in each row? multiplication
show your work
Answer:
4; 12 (refer to explanation)
Step-by-step explanation:
IF: 12 = total plants; 3 = amount of rows then,
12 ÷ 3 = 4
There are 4 plants per row.
IF: 12 = plants per row; 3 = amount of rows,
12 × 3 = 36 total plants; 12 plants in each row.
The hanger image below represents a balanced equation.
с
12
с
с
Write an equation to represent the image.
Answer: 12=4c
Step-by-step explanation:
The required simplified value of c in the given expression is c = 3.
What is simplification?
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
What is the equation?The equation is the values of two expressions that are equal.
Here,
From the figure, we have to balance the equation,
So,
12 = c +c +c +c
4c = 12
c = 3
Thus, the required simplified value of c in the given expression is c = 3.
Learn more about simplification here:
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Assume that a simple random sample has been selected and test the given claim. Use the P-value method for testing hypotheses. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. The ages of actresses when they won an acting award is summarized by the statistics n=77, x=35.4 years, and s=11.7 years.
Use a 0.05 significance level to test the claim that the mean age of actresses when they win an acting award is 33 years.
a. What are the hypotheses?
b. Identify the test statistic.
c. Identify the P-value.
d. State the final conclusion that addresses the original claim.
A. Fail to reject H0. There is insufficient evidence to warrant rejection of the claim that the mean age of actresses when they win an acting award is 33 years.
B. Reject H0. There is insufficient evidence to warrant rejection of the claim that the mean age of actresses when they win an acting award is 33 years.
C. Fail to reject H0. There is sufficient evidence to warrant rejection of the claim that the mean age of actresses when they win an acting award is 33 years.
D. Reject H0. There is sufficient evidence to warrant rejection of the claim that the mean age of actresses when they win an acting award is 33 years.
Answer:
a. H0: u ≠33 against Ha : u= 33
b. Z= x`- u / s/ √n, z= 1.85
c. The P-Value is 0.071075.
The result is not significant at p < .05.
d. Option A is correct.
A. Fail to reject H0. There is insufficient evidence to warrant rejection of the claim that the mean age of actresses when they win an acting award is 33 years.
Step-by-step explanation:
Part a:
The null and alternate hypotheses are
H0: u ≠33 That is the mean age of actresses when they win an acting award is not equal to 33 years.
against the claim
Ha : u= 33 That is the mean age of actresses when they win an acting award is 33 years.
The central limit theorem allows us to assume that the sampling distribution of x` is approximately normal with the mean u and a standard deviation S/ √n.
Part b.
The test statistic would be
Z= x`- u / s/ √n
So we have
n= 77 , x= 35.4, s= 11.7
Z= 35.4- 33/ 11.7/√77
z= 2.4/1.333
z= 1.805
Now z α/2 = ± 1.96 for two tailed test.
Part d.
The rejection region will be
z< - z ∝/2 and z > z ∝/2
1.805 < 1.96
Since the calculated value of z lies in the rejection region we fail to reject H0 and conclude there is insufficient evidence to warrant rejection of the claim that the mean age of actresses when they win an acting award is 33 years.
Part c.
The p- value is the probabilities between which the value of test statistic lies.
Using the calculator
The P-Value is 0.071075.
The result is not significant at p < .05
Find the slope of the line that passes through (6, 9) and (4, 14).
Answer:
The slope is -5/2 :)
Step-by-step explanation:
8+3(5-1) =20 I am very confused on how this equals 20, someone please explain. thanks
Step-by-step explanation:
first you have to do the subtraction in the parentheses so it's 8+3(4) and then you multiply the 3 by 4 (only the 3 because the 8 isn't next to the multiply) and then you have 12, add 8 and it's 20
If AABC = ADEF, correctly name one pair of congruent sides and one pair of
congruent angles.
Standard 4.2B
Some please help me!!!!
Watch the letter order of the statement:
ΔABC ≅ ΔDEF
Where point:
A = D
B = E
C = F
Take any sides and use the corresponding labels correctly to make them congruent.
Let's say I take side AB.
ΔABC ≅ ΔDEF
Refer to the correspondence chart we did above ^^^. As you can see that AB is equal to DE. You can also see this by referring to the first two letters in the triangle statement.
One pair of congruent sides: AB ≅ DE
Now for the angles, it's basically the same concept.
I'll take angle ∠ABC or ∠B. (Note: Always refer to the middle letter when there is a three letter angle label like ∠ABC)
Refer to the chart and what do we see?
We see that:
∠ABC = ∠DEF
or
∠B = ∠E
One pair of congruent angles: ∠ABC ≅ ∠DEF or ∠B ≅ ∠E
Note: you can also do this with any letter combination, order, etc. ONLY IF you can correctly order their corresponding points.
What is the area of the composite figure?
Answer:
189.27 in.
Step-by-step explanation:
15 x 10 = 150
10/2= 5 x 5= 25 x 3.14= 78.54/2= 39.27
Answer:
150
Step-by-step explanation:
what's the sum of a number and 15?
Answer:
x + 15
Step-by-step explanation:
N/A
((x^(3)-2x^(2)-5x+6))/((x-1))
Answer:
Hope this helps! :D
Compose the trapezoid into a parallelogram what is the area of the trapezoid
The area of a trapezoid found by composing a trapezoid into a parallelogram is (. )ft squared
9514 1404 393
Answer:
26 square feet
Step-by-step explanation:
When two of the trapezoids are combined to make a parallelogram, the height remains the same (4 ft), but the width is the sum of the base lengths, 10 ft + 3 ft = 13 ft.
The area of the combined trapezoids is ...
A = bh = (13 ft)(4 ft) = 52 ft^2
The area of one trapezoid is half that, so is ...
A = (52 ft^2)/2 = 26 ft^2 . . . . area of the trapezoid
Determine x please.
Answer:
x = 26°
Step-by-step explanation:
3x - 26° = 52°
3x - 26° + 26° = 52° + 26°
3x = 78°
3x : 3 = 78° : 3
x = 26°
Michael has five different stocks that he watches on a daily basis. The table shows the change in each stock price in dollars at the end of a trading day.
Change in Daily Stock Prices (Dollars)
Stock A
Stock B
Stock C
Stock D
Stock E
–1.5
2.9
Negative one-half
3 and three-fourths
4.6
A number line going from negative 6 to positive 6 in increments of 1.
What is the correct order of the rational numbers in the table from least to greatest? Use the number line to help you.
–1.5, 2.9, Negative one-half, 3 and three-fourths, 4.6
Negative one-half, –1.5, 2.9, 3 and three-fourths, 4.6
–1.5, Negative one-half, 2.9, 3 and three-fourths, 4.6
4.6, 3 and three-fourths, 2.9, Negative one-half, –1.5
Answer:
–1.5, Negative one-half, 2.9, 3 and three-fourths, 4.6 AKA B
Step-by-step explanation:
common sense
Answer:
4.6 = b
Step-by-step explanation:
-12p^2 - 27p +27 = 0
Answer:
that's the right answer
Step-by-step explanation:
In the morning, Jasmine biked to her grandma's house in 45 minutes. When she was biking back home in the evening it was foggy and she went 4 mph slower. The trip back took her 1 hour and 10 minutes. How far from her house does her grandmother live?
EXPLAIN YOUR THINKING!
Answer:
8.4 miles
Step-by-step explanation:
a mph in 45 min.
This means that she did 0.75 of a miles during that time.
When she bikes 4mph slower, she did 0.75a-4 which took her 70 minutes.
Now, V=d/t.
First equation: 0.75a=d/45
Second equation: (0.75a-4)=d/70
First equation: d=33.75a
Second equation: d=52.5a-280
Now, to put it all together: 52.5a-280=33.75a
18.75a=280
a= 14 14/15 mph
1 hour=60 min.
d=(0.75*14 14/15)/60
d=504/60
d=8.4 miles.
:)
Jasmine's grandma's home will be 504 miles away from her home.
What is the relation between distance[x] and time[t]?The relation between distance[x] and time [t] is -
⇒ [x] = v [t]
where v is the velocity of body.
Given that;
Jasmine reached her grandma's house in 45 minutes. When she was biking back home in the evening it was foggy and she went 4 mph slower. The trip back took her 1 hour and 10 minutes.
Now, Let her grandma's home be [x] miles away form her house.
Assume that her velocity was [v] mph on her way to grandma's house.
So, We get;
⇒ 45 = x/v
⇒ x = 45v
And, Her velocity on her way back home would be [v - 4] mph
⇒ 70 = x/(v - 4)
⇒ x = 70(v - 4)
Equating both -
⇒ 45v = 70(v - 4)
⇒ 45v = 70v - 280
⇒ 70v - 45v = 280
⇒ 25v = 280
⇒ v = 11.2 mph
Hence, The value of [x] will be -
⇒ x = 45 x 11.2 = 504 miles
Thus, Jasmine's grandma's home will be 504 miles away from her home.
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Write a point-slope equation for the line ?
Answer:
Point-slope equation for the line is
[tex]y-2= -\frac {3}{2} (x -0)[/tex]
Step-by-step explanation:
Equation of straight line in slope intercept form is given as
[tex]y-y_1=m(x-x_1)[/tex] ---------- (1)
Here
Slope [tex]m=-\frac{3}{2}[/tex]
Any Passing Point [tex](x_1, y_1) = (0, 2)[/tex]
Substituting values in equation (1)
[tex]y-2= -\frac {3}{2} (x -0)[/tex]
Claudia and her sister enjoyed a special dinner in a restaurant, and the bill was $51.48. If she leaves
$6.69 for the server as her tip, what percent tip did she leave?
Answer:
Step-by-step explanation:
if the bill was 51.48
and the tip 6.69
51.48/6.69=100/x where x= the % tip
x=(6.69*100)/51.48=13
x=13% tip
9514 1404 393
Answer:
13%
Step-by-step explanation:
The tip percentage is the ratio of the tip to the bill, converted to a percent.
tip/bill × 100%
= $6.69/$51.48 × 100% ≈ 12.995% ≈ 13%
Claudia left a 13% tip.
Iced tea and lemonade sell for different prices per gallon at Chicken-Fill-Up. Two gallons of iced tea and 3 gallons of lemonade cost a total of $23.25. Five gallons of iced tea and 4 gallons of lemonade cost a total of $41.50. What is the price per gallon for each drink at Chicken-Fill-Up? What equation would I use to find the answer?
Answer:
Iced tea is $4.50 per gallonLemonade is $4.75 per gallonStep-by-step explanation:
Price:
Iced tea = x, lemonade = yEquations:
2x + 3y = 23.255x + 4y = 41.50Multiply the first equation by 5 and the second equation by 2 and subtract to eliminate x:
5(2x + 3y) - 2(5x + 4y) = 5(23.25) - 2(41.50)10x + 15y - 10x - 8y = 33.257y = 33.25y = 33.25/7y = 4.75Use the first equation to find x:
2x + 3(4.75) = 23.252x = 23.25 - 14.252x = 9x = 9/2x = 4.50Iced tea costs $4.50 per gallon
Lemonade costs $4.75 per gallon
please help it’s due soon i’ll give brainlist
Please help if you know how to do the base angle theorem I could really use some help
Answer:
x = 22°, y = 70°
Step-by-step explanation:
Isosceles Triangles
The base angles of an isosceles triangle are those formed by the base and one leg of the triangle.
On the other side, the base angles theorem converse states if two angles in a triangle are congruent, then the sides opposite those angles are also congruent.
We are given an isosceles triangle with base angles 3x-11 and 2x+11. Applying the theorem as explained above:
3x - 11 = 2x + 11
Subtracting 2x:
x - 11 = 11
Adding 11:
x = 22
The base angles have a measure of
3x - 11 = 3*22 - 11 = 55°
Thus, the remaining angle of the triangle is:
y = 180° - 2*55° = 180° - 110° = 70°
x = 22°, y = 70°
A tightrope walker attaches a cable to the roofs of two adjacent buildings. The cable is 21.5 m long. The angle of inclination of the cable is 12 degrees. The buildings are 21.0 m apart. The shorter building is 10.0 m high. What is the height of the taller building?
Answer:
the height of the taller building is 14.47 m
Step-by-step explanation:
Given the data in the question as illustrated in the image below.
form the image; ( Triangle BDE )
we know that sin∅ i= opposite/hypotenuse
so; sin12° = BE / 21.5
BE = 21.5sin12°
BE = 4.47 m
since, EA = DC = 10 m
BA = BE + EA
BA = 4.47 m + 10 m
BA = 14.47 m
Therefore, the height of the taller building is 14.47 m
I need help doing this... I’m totally lost
Answer:
[tex]-(a+1\frac{3}{4}b)[/tex]
Step-by-step explanation:
Perimeter of a polygon = Sum of the measures of all sides of the polygon
For the given trapezoid,
Perimeter = [tex]1\frac{1}{2}a+1\frac{1}{2}b+1\frac{1}{2}a+2\frac{3}{4}b[/tex]
By combining similar terms,
Perimeter = [tex](1\frac{1}{2}+1\frac{1}{2})a+(1\frac{1}{2}+2\frac{3}{4})b[/tex]
= [tex](1+\frac{1}{2}+1+\frac{1}{2})a+(1+\frac{1}{2}+2+\frac{3}{4})b[/tex]
= (2 + 1)a + [tex](3+\frac{1}{2}+\frac{3}{4})b[/tex]
= 3a + [tex](3+\frac{2}{4}+ \frac{3}{4})b[/tex]
= 3a + [tex](3+\frac{5}{4})b[/tex]
= 3a + [tex](3+1+\frac{1}{4})b[/tex]
= 3a + [tex]4\frac{1}{4}b[/tex]
For rectangle,
Perimeter = 2(Length + Width)
= 2(2a + 3b)
Difference between the perimeter of trapezoid and rectangle,
= (3a + [tex]4\frac{1}{4}b[/tex]) - 2(2a + 3b)
= (3a - 4a) + ([tex]4\frac{1}{4}b[/tex] - 6b)
= -a + [tex](4+\frac{1}{4}-6)b[/tex]
= -a + [tex](\frac{1}{4}-2)b[/tex]
= -a + [tex](\frac{1}{4}-\frac{8}{4})b[/tex]
= -a - [tex]\frac{7}{4}b[/tex]
= [tex]-(a+1\frac{3}{4}b)[/tex]
Today is Friday. What day of the week is it 80 days from today?
Answer: Tuesday
April 20,2021
Sonny has entered a reading contest at the local library. After reading two books, he has read 396000 words of text. After five books, he has read 990000 words of text. Write a linear function in slope-intercept form to model his progress where
x is the number of books read and y is the total number of words read.
y= __________________
How many books will he need to read to reach a total of 10,000,000 words?
___________________
Answer:
Please check the expalantion.
Step-by-step explanation:
Let
x is the number of books ready is the total number of words readGiven that:
After reading two books, he has read 396000 words of text.
Thus, we get the point (2, 396000).After five books, he has read 990000 words of text.
Thus, we get the point (5, 990000).As the function is linear, so we take the points
(2, 396000)(5, 990000)Determining the slope between (2, 396000) and (5, 990000)
(x₁, y₁) = (2, 396000)
(x₂, y₂) = (5, 990000)
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [990000 - 396000] / [5 - 2]
= 594000 / 3
= 198000
Thus, the slope of the line = m = 198000
substituting the point (2, 396000) and m = 198000 in the slope-intercept form of the linear equation to determine the y-intercept
y = mx+b
396000 = 198000(2) + b
flipe the equation
198000(2) + b = 396000
396000 + b = 396000
subtracting 396000 from both sides
396000 + b - 396000 = 396000 - 396000
b = 0
now substituting b = 0 and m = 198000 in the slope-intercept form of the linear equation to determine the y-intercept
y = mx+b
y = 198000x + 0
y = 198000x
Therefore, a linear function in slope-intercept form to model his progress is:
y = 198000x
Part b)
How many books will he need to read to reach a total of 10,000,000 words?
As we have already determined a linear function in slope-intercept form to model his progress.
y = 198000x
substituting y = 10,000,000 in the equation
y = 198000x
10,000,000 = 198000x
flip the equation
198000x = 10,000,000
dividing the both equation by 198000
198000x/198000 = 10,000,000/198000
x = 50.5
Thus, Sonny will need to read 50.5 books to read to reach a total of 10,000,000 words.