Answer:
0.67, 0.68, 0.69, 0.7, 0.71. (67/100, 68/100, 69/100, 70/100, 71/100)
Step-by-step explanation:
A rational number is a number that can be expressed as a fraction.
2/3 is approximately equal to 0.66.
4/5 is equal to 0.8
Thus, we just need to find 5 numbers between 0.66 and 0.8.
Some numbers that you could use are: 0.67, 0.68, 0.69, 0.7, 0.71
Hope this helps :)
Answer: 2/3=2×5/3×5. = 10/15
4/5 = 3×4/5×3 = 12/15
Step-by-step explanation:
We will multiply it with5+1 =6
10/15×6/6= 72/90
12/15 × 6/6 = 72/90
5 rational number between them are:61/90,62/90,63/90,64/90,65/90
Pls mark me as brainliest
Please help me with this question!!!!!! PLEASE.
Answer:
B. -9, 7
Step-by-step explanation:
For the rational expression to be undefined the denominator has to equal 0.
x² + 2x - 63 = 0
Factor left side.
(x - 7)(x + 9) = 0
Set factors equal to 0.
x - 7 = 0
x = 7
x + 9 = 0
x = -9
x = -9 or x = 7
Answer:
B
Step-by-step explanation:
A rational expression is undefined when the denominator of the expression equals 0 (this is because anything over 0 is undefined). In other words, to find the values for which the given expression is undefined, we simply have to find the zeros of the denominator. We can ignore the numerator. Thus, let:
[tex]0=x^2+2x-63[/tex]
This is now a quadratic. Solve for the quadratic. I will factor but you can do whatever you like (complete the square, quadratic formula, etc.).
We notice that two factors that multiply to -63 and also add to +2 is 9 and -7. Thus:
[tex]0=(x+9)(x-7)[/tex]
[tex]x+9=0 ; x=-9[/tex]
[tex]x-7=0; x=7[/tex]
The zeros are -9 and 7.
The denominator will equal 0 at these values, and the expression will be undefined.
Given the following logarithmic equation, think about how you would solve each one. Now,
describe those processes using at least 3 to 4 sentences. Then solve, showing your work.
Equation 1: log2 + logx = log3
Answer: x = 3/2
Step-by-step explanation:
log (2) + log (x) = log (3) Given
log(2x) = log(3) Condensing log rules
2x = 3 Cancellation log rule
[tex]x=\dfrac{3}{2}[/tex] Division Property
In a school the the duration of primary section is 40 min and senior section is hour if the bell rings at 9 am together when will the next bell ring together
Answer:
11 a.m.
Step-by-step explanation:
Duration of Primary Period = 40 min
Duration of Senior Section =1 hour = 60 min
To find out when the next bell will ring together, we first determine the LCM of 40 and 60.
Multiples of 40 are: 40,80,120,160,...
Multiples of 60 are: 60, 120, 180, 240...
From the above, we observe that the bell will ring together exactly 120 Minutes after 9 a.m.
Therefore:
9+120 Min =9 +2 Hours =11 a.m.
Therefore, the bell of the primary section and senior section will ring together at exactly 11 am.
the total surface area of a cube is 294cm2. work out the volume of the cube.
Answer: 343 cm³
Step-by-step explanation:
The surface area of a cube is 6s^2, where s is the side length of a square. Thus, first do 294/6 to get 49. Then take the square root of 49 to get that each side of the cube is 7. The volume of a cube is s^2, so simply do 7*7*7 to get that the volume of the cube is 343cm^3
Hope it helps <3
Answer:
V =343 cm^3
Step-by-step explanation:
The surface area of a cube is given by
SA = 6s^2 where s is the side length
294 = 6s^2
Divide by 6
294 / 6 = s^2
49 = s^2
Take the square root of each side
sqrt(49) = sqrt(s^2)
7 =s
The volume of a cube is
V = s^3
V = 7^3
V =343 cm^3
What is the area of the trapezoid?
30 square units
60 square units
90 square units
120 square units
Answer:
not d
Step-by-step explanation:
i tried it hehhe
Answer: 60 square units
Step-by-step explanation:
Suppose that p partners equally share the profits from a sale of $3,600. Which algebraic expression represents this situation?
Given : p partners equally share the profits from a sale of $3,600
To find : Which algebraic expression represents this situation
Solution:
Number of Partners = p
Total Profit = $ 3600
Profit of Each Partner = Total Profit / number of Partners
=> Profit of Each Partner = 3600 / p
Hence is algebraic expression that represent the Share of each partner
Answer:
D
Step-by-step explanation:
100% on quiz
Which answer needs to be true to be able to use the SSS Congruence Postulate to prove △ABC≅△DBC? AB¯¯¯¯¯¯¯¯≅DB¯¯¯¯¯¯¯¯ and ∠ACB≅∠DCB ∠ACB≅∠DCB and ∠A≅∠D AB¯¯¯¯¯¯¯¯≅DB¯¯¯¯¯¯¯¯ and AC¯¯¯¯¯¯¯¯≅DC¯¯¯¯¯¯¯¯ AB¯¯¯¯¯¯¯¯≅DB¯¯¯¯¯¯¯¯ or AC¯¯¯¯¯¯¯¯≅DC¯¯¯¯¯¯¯¯
Answer:
The correct option is;
[tex]\overline{AB}\cong \overline{DB}[/tex] and [tex]\overline{AC}\cong \overline{DC}[/tex]
Step-by-step explanation:
The steps to prove that ΔABC ≅ ΔDBC with the SSS Congruence postulate
We have;
Statement, Reason
BC ≅ BC, Reflexive property
[tex]\overline{AB}\cong \overline{DB}[/tex], Option selected
[tex]\overline{AC}\cong \overline{DC}[/tex], Option selected
ΔABC ≅ ΔDBC, SSS Congruency Postulate
Therefore, whereby all three sides of the triangles ABC and DBC are congruent, then ΔABC is congruent to ΔDBC.
Answer:
AC≅DF
AB≅DE
Step-by-step explanation:
took the test :)
graph e(x) = √x − 10 .
Answer:
I Believe if so, this is your answer
Step-by-step explanation:
y = e ( x )
OR
y = √ x − 10
the tax rate is 3.9%. What is the tax on $42?
Answer:
$43.64
Step-by-step explanation:
Answer:
1.64
Step-by-step explanation:
To find the tax, multiply the cost by the tax rate
42 * 3.9%
Change to decimal form
42 *.039
1.638
Round to the nearest cent
1.64
What is the length Y in this picture ?
Answer:
5
Step-by-step explanation:
The triangle pictured is a 45-45-90 triangle, meaning both legs are the same length, 5.
Derek applies grass seed to 2/5 acre in 3/4 hour. How many acrers can Derek cover per hour. (Please show work)
Answer:
8/15 acres per hour
Step-by-step explanation:
To find acres per hour, divide acres by hours:
(2/5 ac)/(3/4 h) = (2/5)(4/3) ac/h = 8/15 ac/h
Derek can cover 8/15 acres per hour.
There are 200 people in a cinema. 25% of the people are men. 1⁄5 of the people are women. The rest of the people are children. Work out how many children are in the cinema.
Answer:
110
Step-by-step explanation:
There are 200 people in a cinema- This is our total amount.
25 % of the people are men.
.25 times 200= 50
There are 50 men.
1/5 (20%) of the people are women.
.2 times 200 = 40
There are 40 women.
50+40 = 90
There are 90 adults in the cinema.
If there are 200 total people in the cinema, and 90 of them are adult, then 110 of them are children.
The percentage is 55%.
The simplified fraction is 11/20.
The decimal is .55
What is the slope of the line shown below?
We can use the points (-4, 3) and (3, 1) to solve.
Slope formula: y2-y1/x2-x1
1-3/3-(-4)
-2/7
Therefore, the answer is C
Best of Luck!
Answer:
-2/7
Step-by-step explanation:
To find the slope we use the formula
( -4,3) and ( 3,1) are two points on the line
m = ( y2-y1)/(x2-x1)
= ( 1-3)/( 3 - -4)
( 1-3) /(3+4)
-2/7
An account is opened with $7,595.96 with a rate of increase of 2% per year. After 1 year, the bank account contains $7,746.90. Assuming no deposits or withdrawals are made, which equation can be used to find y, the amount of money in the account after x years
Answer:
y = 7,595.96(1.02)x
Step-by-step explanation:
y = 7,595.96(1.02)x
a normal linear equation is basically y = x + b
in this case,
y = amount of money in the bank accountx = number of yearsb is not required because there are no new deposits or withdrawals from the accountSince the accounts earns 2% interest per year, then you need to multiply the original amount by 1.02. As more years pass, the account will increase by 1.02, so the account increases by 1.02x. Since the original amount is $7,595.96, that will be our starting point.
Answer:
C y = 7,595.96(1.02)x
Step-by-step explanation:
Caroline, Colin & Sarah share some money in the ratio 1 : 9 : 1.
In total, Caroline and Sarah receive £28.
How much does Colin get?
Answer:
Colin got £126
Step-by-step explanation:
Here we want to know how much Colin got from the sharing.
We can collapse the ratio to mean;
Colin : Caroline + Sarah
= 9:1 + 1 = 9:2
So total ratio is 9 + 2 = 11
If Caroline and Sarah got £28 we need to find the total money shared
Let the total money shared be £x
Thus;
2/11 * x = 28
2x = 11 * 28
x = (11 * 28)/2
x = 11 * 14 = £154
So the amount of money Colin got would be;
£154 - £28 = £126
The price of a pair of headphones is $39.99 before tax. Dalton bought the headphones for 30% off. He then paid 6% sales tax on the discounted price. Part A: How much did Dalton pay in sales tax? Show all work and steps in your solution. (5 points) Part B: What is the total amount that Dalton paid for the headphones? Show all work and steps in your solution. (5 points) DO NOT LOOK THIS UP PLS
Answer:
part A 1.68
part B 29.67
Step-by-step explanation:
First you multiply $39.99 dollars and 0.30 = $11.9970 you round this to $12.00
After you apply the discount $39.99 - $12.00 = 27.99
Next you must multiply 27.99*0.06 =1.6794 and round to 1.68 to get tax
Last you add $27.99 and 1.68 to get a total of $29.67 for the headphones
Plz give brainliest i didnt look it up.
The sales tax amount is $1.68, and the total amount paid is $29.66
The price is given as:
[tex]Price = \$39.99[/tex]
The sales tax is given as:
[tex]Sales\ tax = 6\%[/tex]
The discount is given as:
[tex]Discount = 30\%[/tex]
(a) The sales tax paid
Start by calculating the discounted price, using:
[tex]Discount = Price \times (1 - 30\%)[/tex]
So, we have:
[tex]Discount = \$39.99 \times (1 - 30\%)[/tex]
[tex]Discount = \$39.99 \times 0.70[/tex]
[tex]Discount = \$27.993[/tex]
The sales tax is then calculated using:
[tex]Sales\ tax = \$27.993 \times 6\%[/tex]
[tex]Sales\ tax = \$1.67958[/tex]
Approximate
[tex]Sales\ tax = \$1.68[/tex]
(b) The total amount paid
This is calculated as:
[tex]Total = Discount + Sales\ Tax[/tex]
[tex]Total = \$27.99 +\$ 1.67[/tex]
[tex]Total = \$29.66[/tex]
Hence, the sales tax amount is $1.68, and the total amount paid is $29.66
Read more about discounts and sales tax at:
https://brainly.com/question/13961909
Two vectors are said to be parallel if they point in the same direction or if they point in opposite directions.
Part A
Are the vectors v1 = < V3, 1 >and va = <-13, -1 >parallel? Show your work and explain
Part B
Are the vectors Ui =< 2, 3 >and u2 =-3,-2 > parallel? Show your work and explain.
Answer:
When two vectors are parallel, it's because the angles of inclination are equivalent. They are defined by
[tex]\theta = tan^{-1}(\frac{y}{x} )[/tex]
So, we just need to find the angle for each vector and see if they are equivalent.
We have vectors [tex](3,1)[/tex] and [tex](-13,-1)[/tex]. You already can deduce that these vectors are not parallel, because, their divisions are not equivalent.
[tex]\frac{1}{3} \neq \frac{-1}{-13}[/tex]
Which will give different angles in the end.
Let's try the other pair of vectors [tex](2,3)[/tex] and [tex](-3.-2)[/tex]. Their division would be
[tex]\frac{3}{2} \neq \frac{-2}{-3}\\ 1.5 \neq 0.67[/tex]
As you can observe, their divisions are not equivalent, which means their tangents are not equivalent.
Therefore, those vectors are not parallel, because they don't have equivalent angles of inclination, not matter if they are pointing to the same or different direction.
It costs $20 for each metre of
border edge for a rectangular area.
What is the greatest area someone can enclose by spending $4500?
Step 1: Calculate the measures of center for Mrs. Hampton's data in the dot plot (round your answer to the nearest tenths place). Show your work and briefly explain each step. (Measures of Center are the Mean and Median of a data set)
*dot plot is shown in the attachment below
Answer:
Mean = 6.3
Median = 6
Step-by-step explanation:
Measures of centre, mean and median, can be calculated as follows:
First, bear in mind that each dot represents a value in the data set.
==>Mean:
Mean is the sum of all values in the data set divided by the number of data set we have.
The sum can be calculated as follows:
0 (1) = 0
4 (3) = 12
5(8) = 40
6(3) = 18
7(1) = 7
8(5) = 40
9(2) = 18
10 (3) = 30
Sum = 0+12+40+18+7+40+18+30 = 165
No of data set = 26
Mean = 165/26 = 6.346 ≈ 6.3 (nearest tenth place)
==>Median: this is the middle value in the data set. Since the number of data set is even number (26) , the middle value lies between the 13th and 14th data points. The average of the 13th and 14th data points will give us the median value.
Thus, the 13th and 14th values are both 6.
Therefore, median = (6+6) ÷ 2 = 6
Answer:
The mode is 5, because 5 occurs 8 times, which is more than any other numbers occurring more than once. The median is 6, and this is because when you line up the numbers in order and cross them off to find the middle number, it is 6. I rounded to the mean to about 6.4. I got this by adding all of the numbers up, or by doing 12 + 40 +18 +7, etc, and got the total of 165. Because there is a total of 26 data points, I divided those numbers and got 6.3461, which ends up rounding to 6.4.
Step-by-step explanation:
change wording
F(x)3x+5/x what is f(a+2)
A: 3a+5/a+2
B:3(a+2)+5/a+2
C:3(f(a))+5/f(a)+2
Select the correct answer. Wayne plays multiple instruments in a rock band. He also composes the songs. He takes 36 weeks to write the songs for an album of 12 songs. If you assume he takes an equal amount of time to compose each song and graph this relationship with the number of weeks on the x-axis and the number of songs on the y-axis, what is Wayne's unit rate for composing a song?
Answer:
3 weeks for one song
Step-by-step explanation:
The function would be y = 3x + b
Answer:
it is 1/3 of a song per week for all you people that cant do math
Step-by-step explanation:
what's the product of 9 (-8)
Answer:
-72
Step-by-step explanation:
I googled it.
Answer:
-72
Step-by-step explanation:
You take the 9, multiply by the -8, and boom. You get -72.
And when you multiply two opposite signs together, it equals to a negative number.
Boom bam boom you became a bit smarter
Please answer is question in two minutes
Answer:
C: 38 units
hope this helps!!
Help!!!! please!!!!!
Answer:
60 or 70
Step-by-step explanation:
Answer:
The shape is a trapezium; so use the formula for solving area of a trapezium to solve it. Which is
1/2(a+b)×h
=1/2(10+6)×7
=1/2 × 16 × 7
= 8×7
=56
Use long division to find the quotient below.
(30x3 + 4x2 - 150) = (3x - 5)
A. 10x2 - 24x + 30
B. 10x2 + 24x+ 30
c. 10x2 + 18x+ 30
D. 10x2 - 18x+ 30
PLZZ PLS PLZZZ HELP‼️
Answer:
Hello!
`~~~~~~~~~~~~~~~~~~~~~
Your answer would be (C) 10x2 + 18x+ 30
~~~~~~~~~~~~~~~~~~~~~~
Hope this helped you!
P . S I would've put the explaintion but it's to long.
Factor x2 – 3x – 28. An x-method chart shows the product a c at the top of x and b at the bottom of x. Above the chart is the expression a x squared + b x + c. Identify the values that should be written to complete the X diagram. On the top: On the bottom: On the sides: Rewrite the expression using the numbers on the sides of the X diagram. Use double grouping to factor the four terms. x2 – 3x – 28 =
Answer:
(x - 7)(x + 4)
Step-by-step explanation:
Note that 4 times 7 is 28, and that -7x + 4x = -3x.
Therefore, x^2 - 3x - 28 factors into (x - 7)(x + 4)
The factors of the quadratic equation x² – 3x – 28 is (x - 7)(x + 4).
What is a quadratic equation?
It is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.
Writing a number or any mathematical object as the result of several factors—typically smaller or simpler objects of the same kind—is known as factorization or factoring in mathematics.
The factorization will be done as below:-
x² – 3x – 28
Split the middle term as 7 and 4.
x² – 7x + 4x – 28 = 0
x ( x - 7 ) + 4 ( x -7 ) = 0
Take x-7 common from the whole equation.
( x - 7 ) ( x + 4 ) = 0
Therefore, the factors of the quadratic equation x² – 3x – 28 is (x - 7)(x + 4).
To know more about quadratic equations follow
https://brainly.com/question/1214333
#SPJ2
Helppp!!!! please!!!
Answer:
B. 24700
Step-by-step explanation:
Answer:
b. 24700 cm³
Step-by-step explanation:
[tex]\frac{lwh}{3} \\\\65*30*38/3 = 24700 cm^3[/tex]
Hope this helps! :)
Think of 5 positive that have a mode of 4, a median of 8, a mean of 9 and a range of 12
At the deli, Alberto paid $24.33 for 7.4
pounds of sliced ham. What was the
price of one pound of sliced ham?
Answer:
About $3.28
Step-by-step explanation:
Divide 24.33 by 7.4
Answer:
3.28783783784...
Step-by-step explanation:
You're description could turn into 24.33 : 7.4.
You turn 7.4 into 1, and divide 7.4 / 1.
(It is 7.4)
Then, you divide 24.33 / 7.4.
It is 3.28783783784.......
or, If you want you're answer close to an natural number, It is 3.
A genetic experiment involving peas yielded one sample of offspring consisting of 437437 green peas and 129129 yellow peas. Use a 0.050.05 significance level to test the claim that under the same circumstances, 2727% of offspring peas will be yellow. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method and the normal distribution as an approximation to the binomial distribution.
Answer:
The null hypothesis: [tex]\mathbf{H_o: p=0.27}[/tex]
The alternative hypothesis: [tex]\mathbf{H_1: p \neq 0.27}[/tex]
Test statistics : z = −2.30
P-value: = 0.02144
Decision Rule: Since the p-value is lesser than the level of significance; then we reject the null hypothesis.
Conclusion: We accept the alternative hypothesis and conclude that under the same circumstances the proportion of offspring peas will be yellow is not equal to 0.27
Step-by-step explanation:
From the given information:
Let's state the null and the alternative hypothesis;
Since The claim is that 27% of the offspring peas will be yellow.
The null hypothesis state that the proportion of offspring peas will be yellow is equal to 0.27.
i.e
[tex]\mathbf{H_o: p=0.27}[/tex]
The alternative hypothesis state that the proportion of offspring peas will be yellow is not equal to 0.27
[tex]\mathbf{H_1: p \neq 0.27}[/tex]
The test statistics:
we are given 437 green peas and 129 yellow apples;
Hence;
[tex]\hat p = \dfrac{x}{n}[/tex]
where ;
[tex]\hat p[/tex] = sample proportion
x = number of success
n = total number of the sample size
[tex]\hat p = \dfrac{129}{437+129}[/tex]
[tex]\hat p = \dfrac{129}{566}[/tex]
[tex]\mathbf{\hat p = 0.2279}[/tex]
Now; the test statistics can be computed as :
[tex]z = \dfrac { \hat p -p }{\sqrt {\dfrac{p(1-p)}{n} } }[/tex]
[tex]z = \dfrac {0.2279 -0.27 }{\sqrt {\dfrac{0.27(1-0.27)}{566} } }[/tex]
[tex]z = \dfrac {-0.043 }{\sqrt {\dfrac{0.27(0.73)}{566} } }[/tex]
[tex]z = \dfrac {-0.043 }{\sqrt {\dfrac{0.1971}{566} } }[/tex]
[tex]z = \dfrac {-0.043 }{\sqrt {3.48233216*10^{-4} } }[/tex]
[tex]z = \dfrac {-0.043 }{0.01866} }[/tex]
z = −2.30
C. P-value
P-value = P(Z < z)
P-value = P(Z< -2.30)
By using the P-value method and the normal distribution as an approximation to the binomial distribution.
from the table of standard normal distribution
move left until the first column is reached. Note the value as –2.0
move upward until the top row is reached. Note the value as 0.30
find the probability value as 0.010724 by the intersection of the row and column values gives the area to the left of
z = -2.30
P- value = 2P(z ≤ -2.30)
P-value = 2 × 0.01072
P - value = 0.02144
Decision Rule: Since the p-value is lesser than the level of significance; then we reject the null hypothesis.
Conclusion: We accept the alternative hypothesis and conclude that under the same circumstances the proportion of offspring peas will be yellow is not equal to 0.27