Answer:The route from the home to the school is 50
miles long. The route back is 55 miles
miles long.
Step-by-step explanation:
If the circumference of a circle is 4π cm, what is its area?
Answer:
12.56cm
Step-by-step explanation:
4π cm
4 x 3.14
12.56cm
Tatiana’s book has an area of 88 square inches what are the length and width measurements of the book
Answer:
9.38 inch
Step-by-step explanation:
[tex]length \: = width \: = \sqrt{area} = \sqrt{88} = 9.38 \: inch[/tex]
Answer:
9.38 inch
Step-by-step explanation:
Solve the system by substitution.
y = x - 6
y = -5x
Answer:
So.... you gave me the value of y in terms of x, twice...I am not sure what you want me to solve.
herrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrreeeeeeeeeeeeeeeee pt 3
Answer: 2808 ft.
Explanation: 78*36 is 2808
In a class of 30 students, 12 have a brother and 25 have a sister. There are 2 students who do not have any siblings. What is the probability that a student who has a brother also has a sister?
Answer:
3/10
Step-by-step explanation:
let n(B)=students who have a brother
n(S)= students who have a sister
n(U)=n(B)+n(S)+n(BUS)'-n(BnS)
30=12+25+2-n(BnS)
30=39-n(BnS)
n(BnS)=39-30=9
So 9 students have a brother and a sister
Probability=9/30=3/10
The probability that a student who has a brother also has a sister will be 0.30.
What is probability?Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.
Then the probability is given as,
P = (Favorable event) / (Total event)
In a class of 30 students, 12 have a brother and 25 have a sister. There are 2 students who do not have any siblings.
The number of students who have both brothers and sisters. Then we have
25 - x + 12 - x + x + 2 = 30
x = 25 + 12 + 2 - 30
x = 9
Then the probability that a student who has a brother also has a sister will be given as,
P = 9 / 30
P = 0.30
The probability that a student who has a brother also has a sister will be 0.30.
More about the probability link is given below.
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The value of 7 rounded to the nearest hundredth
Answer: 9.22
Step-by-step explanation:
2^2 + 9^2 = C^2
4+81=C^2
85=C^2
(square root both sides)
C=9.219544
C=9.22
What is the slope of the line on the graph?
Enter your answer in the box.
Answer:
6
Step-by-step explanation:
The find the slope of a line given any two points, we can use the slope formula given by:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
We can choose the two points (0, -1) and (1, 5) from the graph.
Let (0, -1) be (x₁, y₁) and let (1, 5) be (x₂, y₂). So:
[tex]\displaystyle m=\frac{(5)-(-1)}{(1)-0}=\frac{6}{1}=6[/tex]
Hence, the slope of the line is 6.
slope is the ratio of vertical increase to horizontal increase
what is y+4=-6(x+6) in standred form
Cody had 12 sodas. Jerritt gave him 6 more sodas. Cody then gave
Leonard 5 sodas. How many sodas did Cody end up with in the end?
Answer:
13 soda
Step-by-step explanation:
12+6=18
18-5=13
How many inches is a CD case
I think it's about 3 to 5 inches depending on the case
A store sells cans of tomatoes priced as shown.
Canned Tomatoes
Size
Cost
10 ounces
$0.89
15 ounces
$1.29
18 ounces
$2.26
32 ounces
$3.39
Which size can of tomatoes has the lowest cost per ounce?
1.
10 ounces
2.
15 ounces
3.
18 ounces
4.
32 ounces
Answer:
For your question its 15 ounces
Mwamini wants to drink water and juice within a certain time limit. She drinks juice at a constant rate, and she drinks water at a rate of 25 seconds per liter.
Let W represent the number of liters of water and J represent the number of liters of juice that Mwamini can drink within her time limit.
25W+40J<120
According to the inequality, at what rate does Mwamini drink juice, and what is her time limit?
Mwamini drinks juice at a rate of ___
seconds per liter, and her time limit is ____
seconds.
Can Mwamini drink 2 liters of water and 1 liter of juice within her time limit?
Choose 1 answer:
yes or no
Answer:Mwamini drinks juice at a rate of 40 seconds per liter, and her time limit is 120 seconds.
Answer:Yes
Step-by-step explanation:
1) Mwamini drinks juice at a rate of 40 seconds per liter, and her time limit is 120 seconds.
2) Mwamini can drink 2 liters of water and 1 liter of juice within her time limit.
What is inequality?"It is a mathematical statement of an order relationship (greater than, greater than or equal to, less than, or less than or equal to) between two algebraic expressions."
For given question,
We have been given an inequality 25W + 40J < 120
W represent the number of liters of water and J represent the number of liters of juice.
Mwamini drinks water at a rate of 25 seconds per liter.
Mwamini drinks juice at a rate of 40 seconds per liter, and her time limit is 120 seconds.
If Mwamini drinks 2 liters of water and 1 liter of juice.
Here, W = 2 lit and J = 1 lit
So, ⇒ 25W + 40J
= 25(2) + 40(1)
= 50 + 40
= 90
< 120
This means, Mwamini can drink 2 liters of water and 1 liter of juice within her time limit.
Learn more about inequality here:
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The accompanying data on x= head circumference z score (a comparison score with peers of the same age - a positive score suggests a larger size than for peers) at age of 6 to 14 months and y =volume of cerebral grey matter (in ml) at age 2 to 5 years were read from a graph in an article.
A) what is the value of the correlation coefficient? (Give the answer to two decimal places.) r=
B)Find the equation of the least- squares lines. (Give the answer to two decimal places.)
C) Predict the volume of cerebral grey matter for a child whose head circumference z score at age 12 months was 1.9. (Give the answer to two decimal places.)
Answer:
[tex]r=0.77[/tex], [tex]\hat{y}=770.50+39.37x[/tex] and volume of cerebral brey matter for a child whose head circumference Z score at age 12 months was 1.9 is [tex]\hat {y}=920.10[/tex]
Step-by-step explanation:
We attached a table below,
[tex](a)[/tex] We attached a table below,
Therefore ,
correlation coefficient [tex]r=\frac{\frac{1}{18}(21766.7)-(\frac{27.25}{18} )(\frac{13890}{18} ) }{\sqrt{\frac{1}{18} (59.8435)-(\frac{27.25}{18} )^2}\sqrt{\frac{1}{18}(10767400)-(\frac{13890}{18} )^2 } }[/tex]
[tex]=\frac{41.04}{53.19}[/tex]
[tex]=0.77[/tex]
[tex](b)[/tex] We calculate the least squares equation.
[tex]b_1=r(\frac{\sigma_y}{\sigma_x} )\\ =(0.77)(\frac{\sqrt{\frac{1}{18} (10767400)-(\frac{13890}{18} )^2} }{\sqrt{\frac{1}{18}(59.8435)-(\frac{27.25}{18} )^2 } } )\\ =0.77(\frac{52.15}{1.02} )\\ =0.77(51.13)\\ =39.37[/tex]
Now , calculate intercept coefficient.
[tex]b_0=\bar{y}-r\bar{x}\\[/tex]
[tex]=(\frac{\sum{y}}{n} )-0.77(\frac{\sum{x}}{n} )\\=(\frac{13890}{18} )-0.77(\frac{27.25}{18} )\\=771.67-1.17\\=770.50[/tex]
Therefore, the regression equation is, [tex]\hat{y}=770.50+39.37x[/tex]
[tex](c)[/tex] Find the volume of cerebral brey matter for a child whose head circumference Z score at age 12 months was 1.8
[tex]\hat{y}=770.50+39.37x[/tex]
[tex]=770.50+39.37(1.9)\\=770.50+74.80\\=920.10[/tex]
Printer A can print 21 pages per minute. Printer B can print 1300 per hour. Which printer will have the biggest number of pages in two hours.
(please show work)
Answer:
Because of the distance from the sun to the earth being 2 meters and 25 inches, we can infer that the 1st president of Canada was Ben Franklin. Ben Franklin is on the 7 dollar bill, which means the Illuminati is real. This means the radius of the earth traveling to the sun from mars to jupiter would be a total of 6.96969696969669 milimeters. So in conclusion, yes she was old enough.
Step-by-step explanation:
Pyrite or fool's gold is a common mineral. Like many minerals, scientists can identify pyrite by its internal repeating pattern, also
called its
A)cleavage
B)hardness.
C)streak color
D)crystal structure
I really need help answer has to fit in this box:
a bakery sells 10 lemon poppy muffins for every 1 bran muffin sold.
Answer:
The answer is D.
Step-by-step explanation:
My explanation is in the picture as u can see.
Use the following function to answer the questions please-
F(x)=0.75(2^x)-5,please answer both questions only if you know the answer please appreciate it.
Answer:
D, all real numbers
coefficent of the exponent is less than 1 it's decay
Step-by-step explanation:
The domain is asking for the set of x values in which the equation could possibly equal to
the answer is all real numbers
Because the coefeccient of the exponent is less than 1 it's decay
Answer:
All real numbers
Exponential growth
Step-by-step explanation:
Since this is a logarithmic equation, it will have a limit of -5. from negative 5, it will increase in both y and x values. In the equation, it says 2^x, so the greater the x value, the greater the y value. Therefore, it is increasing.
A person invests $1000 in a bank. The bank pays 6% interest compounded monthly. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches $3300
Answer:
18 years, 4 months and 10 days.
Step-by-step explanation:
Given that the person invests $ 1000 in an account with compound interest each month, with an interest rate of 6%, to determine how long the investment must maintain to reach $ 3,000, the following calculation must be performed:
3,000 = 1,000 (1 + 0.06 / 12) ^ Yx12
3,000 = 1,000 (1 + 0.06 / 12) ^ 18.36x12
3,000 = 3,000
Therefore, the person must keep his investment for a period of 18.36 years. Since 12 x 0.36 is equal to 4.32, the total investment time should be 18 years, 4 months and 10 days.
what is the value of -2(x + 5)
A x = 10
B x - 10
C -2x - 2
D -2x - 10
Answer:
Option D: -2x-10 is the correct answer.
Step-by-step explanation:
Given expression is;
-2 (x+5)
We will solve the expression by multiplying -2 with the terms inside the brackets.
Therefore,
Multiplying -2 with the terms
-2*x + 5* -2
-2x + (-10)
-2x - 10
Hence,
Option D: -2x-10 is the correct answer.
What's the slope and y-intercept of the equation y = 9? Question 3 options: A) m = 0; b = -9 B) m = 0; b = 0 C) m = 0; b = 9 D) m = 9; b = 0
Answer:
b
tep-by-step explanation:
The correct option is C) m = 0; b = 9. The slope and y-intercept of the linear equation y = 9 are m = 0; b = 9.
To explain step by step:
The equation y = 9 represents a horizontal line that intersects the y-axis at the point (0, 9).The slope of a horizontal line is always zero because there is no change in the y-coordinate as x varies.Therefore, the slope (m) of the equation y = 9 is 0.The y-intercept (b) is the value of y when x is zero. In this case, when x is zero, y remains constant at 9.Thus, the y-intercept (b) of the equation y = 9 is 9.In summary, the slope of the linear equation y = 9 is 0, indicating a horizontal line, and the y-intercept is 9, representing the point where the line intersects the y-axis.
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What number must multiply each side of the equation 25x=10 to produce the equivalent equation x = 25?
15
52
4
5
Answer:
Multiply both sides by [tex]\frac{5}{2}[/tex]
Step-by-step explanation:
Given
[tex]\frac{2}{5}x = 10[/tex]
Required
Get an equivalent of [tex]x = 25[/tex]
To do this, we simply multiply through by [tex]\frac{5}{2}[/tex]
[tex]\frac{5}{2} * \frac{2}{5}x = 10 * \frac{5}{2}[/tex]
[tex]\frac{5*2}{2*5} x = 10 * \frac{5}{2}[/tex]
[tex]\frac{10}{10} x = 10 * \frac{5}{2}[/tex]
[tex]\frac{1}{1} x = 10 * \frac{5}{2}[/tex]
[tex]x = 10 * \frac{5}{2}[/tex]
[tex]x =\frac{10*5}{2}[/tex]
[tex]x =\frac{50}{2}[/tex]
[tex]x = 25[/tex]
I NEED IT ASAP How do the signs of the coordinates affect the position of a point in the coordinate plane
Answer:
Each point will plot to only one place in the coordinate plane. So, I don't know what you mean by plotting anywhere and you'll get the same result. You won't
Step-by-step explanation:
Answer:
The signs of a point's coordinates affect where the point is on a coordinate plane because an X-coordinate being negative or positive tells how far to the right or left of the Y-axis a point is. Vice versa, the Y-coordinate being positive or negative says how far above or below the X-axis a point is on a coordinate plane.
Cindy plans to join a gym. A gym membership at Fit Factor cost $300 for the year but each group exercise cost an additional $10. Cindy wants to spend at most $1000 for the year. Find the maximum number of group classes Cindy can take in one year.
Answer: 70
Step-by-step explanation:10x70=700+300=1,000
2b² +11b=40
Help please
9514 1404 393
Answer:
b = -8, 2.5
Step-by-step explanation:
The equation can be rewritten to standard form:
2b² +11b -40 = 0
In this form, it can be factored by looking for factors of (2)(-40) that have a total of +11.
-80 = 80(-1) = 40(-2) = 20(-4) = 16(-5) = 10(-8)
The factors 16 and -5 total 11, so we can now write the equation in a form suitable for factoring by grouping:
2b² +16b -5b -40 = 0 . . . . write the b term using the numbers we found
2b(b +8) -5(b +8) = 0 . . . . factor pairs of terms
(2b -5)(b +8) = 0 . . . . . . . . finish the factoring
Solutions are values of b that make these factors zero:
2b -5 = 0 ⇒ b = 5/2
b +8 = 0 ⇒ b = -8
Solution to the equation are b = -8 and b = 5/2.
Jasmine is buying cakes for a party. One chocolate cake costs $7, and one lemon cake costs $5. If Jasmine needs to buy 18 cakes and has $110 to spend, how many lemon cakes can she buy?
Set up and solve a system of linear equations to model how to determine the number of lemon cakes Jasmine can buy for the party.
Answer:
Step-by-step explanation: Am not sure if this is the answer you guys are looking for but my in 9th grade and this is how my math teacher taught me how to do it.one chocolate cake=?=x
one lemon cake=?=y
$270 spent
need to buy total of 18 cakes
1-chocolate cake =$7
lemon cake = $5
cakes 18=x+y
money $110=$7x+$5y
When i graphed it on the demos calculator i got (10,8).
So 10= the number of chocolate cake brought and 8= the number of lemon cake brought
The number of lemon cakes Jasmine can buy for the party is 8.
System of linear equationsTwo equations can be deduced from the question:
a + b = 18 equation 1
$7a + $5b = $110 equation 2
Where:
a = number of chocolate cakes boughtb = number of lemon cakes boughtDetermining the number of lemon cakes that can be bought
In order to determine the number of lemon cakes that can be bought, take the following steps:
Multiply equation 1 by 7
7a + 7b = 126 equation 3
Subtract equation 2 from equation 3
2b = 16
b = 8
To learn more about simultaneous equations, please check: https://brainly.com/question/25875552
say a radical cube root equation with an extraneous solution and a radical cube root equation without an extraneous solution
One equation that does have an extraneous solution is: [tex]x + 1[/tex] = [tex]\sqrt{7x+ 15}[/tex]
One equation that doesn't have an extraneous solution is: [tex]\sqrt{x}[/tex] = 4
Answer:
agreed withe one above
Step-by-step explanation:
Can somone please help me
Answer:
D
Is correct cus a straight line is 180
Which the following expressions is equivalent(
a + b)(a-b)?
Answer:
Step-by-step explanation:
(a+b)(a-b)=a^2-b^2
please help asap!!!!!!
Answer:
z = 66
Step-by-step explanation:
QT is a midsegment. Thus, applying the midsegment theorem:
RS = 2(QT)
QT = z - 33,
RS = z
Plug in the values into the equation
z = 2(z - 33)
z = 2z - 66
Subtract 2z from each side
z - 2z = -66
-z = -66
Divide both sides by -1
z = 66