Answer:
a)9:7 b) 9:16 c) 7:16
Step-by-step explanation:
the no of girls (320-180)=140
a) ratio of no of boys and girls=180/140=9/7=9:7
b)ratio of boys and total pupil=180/320=9/16=9:16
c) ratio of the girls and pupils=140/320=7/16=7:16
Answer:
a) 9:7 (9 being the boys,7 being the girls)
b)9:16 (9 being boys, 16 being the total pupils)
c)7:16 (7 being girls, 16 being the total pupils)
Step-by-step explanation:
a) No. of girls= 320-180
=140
Boys: Girls
180 : 140 [ ÷ 20]
9 : 7
b) Boys: Pupils
180 : 320 [ ÷ 20]
9 : 16
c). Girls: Pupils
140 : 320 [ ÷ 20]
7 : 16
find the values of x and y respectively A. 40, 80 B. 40,70 C. 110,30
Answer:
B. 40, 70
Step-by-step explanation:
[tex]30 \degree + x\degree + 40 \degree = 110 \degree ..(straight \: line \: \angle 's) \\ x\degree + 70 \degree = 110 \degree \\ x\degree = 110 \degree - 70 \degree \\ \huge \red{ \boxed{ x = 40}} \\ \\ y \degree = (180 - 110) \degree.. (vertical \:\angle 's) \\ y \degree =70 \degree \\ \huge \purple{ \boxed{ y = 70}}[/tex]
If M is the midpoint of segment AB, then which of the following statements is/are true? AB=MB AM=MB Segment AM is congruent to segment MB.
AB is the large segment.
AM is half of the large segment.
MB is the second half of the large segment.
AM = MB is true.
Segment AM is congruent to segment MB is true.
AB = MB is false.
The statements that are true.
-Segment AM is congruent to segment MB.
- AM = MB.
What is a midpoint of a line segment?The midpoint of a line segment is given as,
x = (a + c)/2
y = (b + d) / 2
Where (x, y) is the midpoint and (a, b) and (c, d) are the two endpoints.
We have,
If M is the midpoint of segment AB, then the following statements are true.
- AB = 2MB
Since M is the midpoint of AB, MB is half the length of AB.
Therefore,
AB is twice as long as MB.
- AM = MB
Since M is the midpoint of AB, AM, and MB are equal in length.
This is a property of the midpoint of a segment.
Now,
Segment AM is congruent to segment MB.
Since AM and MB are equal in length (as stated in statement 2), they are congruent to each other.
Therefore,
Segment AM is congruent to segment MB with AM = MB statement being true.
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first term is 3, common difference is 4 what is the 5th term
Answer:
19
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 3 and d = 4 , thus
a₅ = 3 + (4 × 4) = 3 + 16 = 19
what is the solution of 2 - 3i and 2 + 3i?
Answer:
Step-by-step explanation:
Multiplying
(2 + 3i)(2 - 3i)
4 - 6i + 6i - 9i^2
4 - 12i + 9
13 - 12i
Add/subtract
2 - 3i + 2 + 3i = 2
2 - 3i - (2 + 3i) = 2 - 3i - 2 - 3i = -6i
A plumber charges $65 per hour to fix a leak. What is an equation that relates to the total cost of a leak repair c to the number of hours h it takes the plumber to fix the leak?
Answer:
The equation is C = 65h
What is the measure of angle TRV? 20° 50° 60° 130°
Answer: 130
Step-by-step explanation:
Answer: 130 (D)
What is the measure of angle TRV?
3) Sue and Jim are driving on the highway. Sue takes 24 minutes to drive 40 km. If Jim drives
at the same rate, how long will it take for him to drive 115 km?
69 minutes
Answer:
69min
Step-by-step explanation:
sue: 24min 40km
.6 min per 1km
×115
115 km = 69 min
Jess is painting his car. He's created a purple color that uses red paint and blue paint in a ratio of 6:5. Jess uses 15
pints of blue paint. How many pints of paint does he use in total?
A
18
B
33
С
11
D
26
Answer:
B.) 33
Step-by-step explanation:
15/5=3
6x3=18
18+15=33
The ratio shows how many times one value is contained in another value.
If the ratio of Red and blue is 6:5 and uses 5 pints of blue color.
The total pints of paint used in total is 33 pints.
What is a ratio?The ratio shows how many times one value is contained in another value.
Example:
There are 3 apples and 2 oranges in a basket.
The ratio of apples to oranges is 3:2 or 3/2.
The ratio of minutes and minutes in 1 hour is 60 : 3600
We have,
Purple color:
Red : Blue = 6 : 5
Let,
Red colour = 6x
Blue color = 5x
Now,
Blue color = 15 pints
5x = 15 pints
x = 15/3
x = 3 pints _______(1)
Now,
Total color.
= Red + Blue
= 6x + 5x
= 11x
Now,
From (1) we get,
= 11x
= 11 x 3
= 33
Thus,
If the ratio of Red and blue is 6:5 and uses 5 pints of blue color.
The total pints of paint used in total is 33 pints.
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Please help me!! What is the value of???
-4×3
12÷(-6)???
Answer:
-4x3=12
12÷-6=-2
hope this helps
Solve the equation.
t + 25 = 26
Answer: t = 1
Step-by-step explanation:
Subtract 25 on both sides. t = 1The solution to the equation t + 25 = 26 is t = 1.
The given equation is,
t + 25 = 26
To solve this equation,
Isolate the variable t,
Which means we need to get rid of the 25 on the left side of the equation.
To do that, Subtract 25 from both sides of the equation,
since what we do to one side, we must do to the other to keep the equation balanced.
So,
t + 25 - 25 = 26 - 25.
Simplifying this, we have t = 1.
Therefore, the solution to the equation t + 25 = 26 is t = 1.
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HELP ME PLEASE <33 I NEED THIS
The measure of DE = 90 degrees because its corresponding central angle = 90 degrees.
what property does this equation use.
If LM = NP , then NP = LM
-distributive
-substitution
-division
-subtraction
-multiplication
-transitive
-reflexive
-symmetric
Answer:
reflexive
Step-by-step explanation:
memorize it as the equal sign is a mirror that reflects so its the same!
Help!! Me!! Please!!
Answer:
13 and 14
Step-by-step explanation:
the square root of 182 is 13.49 which would lie between 13 and 14
which is longer, 12m or 13yd?
Answer:
13 yards
Step-by-step explanation:
Answer:
12m
Step-by-step explanation:
12 meters . a meter is approx. 4" longer than a yard, x 12 =48 inches (or thereabouts). a yard is 36 inches long therefore 12 meters is longer
The function whose graph is shown below has the following characteristics.
• Two absolute minima
• One relative maximum
O A. True
O B. False
The given graph has two absolute minima as no points are below them and one relative maximum as there is a change in direction from increasing to decreasing at that point. Hence, Option A. True is the right choice.
What are absolute maxima and absolute minima?The absolute maxima and absolute minima are the points on the graph where the graph shows the highest and the lowest values respectively.
What are relative maxima and relative minima?The relative maximum is the point on the graph where the graph changes its direction from an increasing function to a decreasing function.
The relative minimum is the point on the graph where the graph changes its direction from a decreasing function to an increasing function.
How to solve the question?In the question, we are asked whether the given statement:
The function whose graph is shown below has the following characteristics.
• Two absolute minima
• One relative maximum,
is true or not.
In the given graph, we can observe that it was first a decreasing function, until a certain point, then it starts increasing until a certain point, then again decreased until a certain point, and after that went on increasing.
Hence it shows 3 points of inflections.
The first point is an absolute minimum point as the graph never goes below it.
The second point is a relative maximum as there is only a change in direction at that point, and there are points higher than that point.
The third point is an absolute minimum point as the graph never goes below it.
Therefore, we can say that the graph has:
Two absolute minimaOne relative maximumHence, the given statement is A. True.
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Answer:
false
Step-by-step explanation:
apie
In expanded form, log(1,000a^3/b) is equivalent to...
Answer:
Option (4)
Step-by-step explanation:
Given expression is,
[tex]\text{log}(\frac{1000a^3}{b})[/tex]
To solve this expression we will use the logarithmic properties.
[tex]\text{log}(\frac{1000a^3}{b})=\text{log}1000a^3-\text{log}(b)[/tex] [Since, [tex]\text{log}\frac{p}{q}=\text{log}p-\text{log}q[/tex]]
= log(1000) + log(a³) - log(b) [Since, log(pq) = log(p) + log(q)]
= 3 + 3log(a) - log(b)
= 3[1 + log(a)] - log(b)
Therefore, Option (4) will be the correct option.
4 ft 5 Ft what is the area
Answer:
20 ft²Step-by-step explanation:
4 x 5 = 20 ft²
A factory produced 150 tons of steel in one year. The next year, the output increased to 180 tons. What is the percentage increase in the output?
A.
17%
B.
20%
C.
30%
D.
50%
E.
75%
Answer:
It would be 17%
Step-by-step explanation:
Answer:
B: 20%
Step-by-step explanation:
C is between B and D
BC = 8x +13
CD= 12x -73
BD =320
find the value of x
Answer:
..
...
Step-by-step explanation:
..
Answer:
x = 19
Step-by-step explanation:
Since C is between B and D , then
BC + CD = BD , substitute values
8x + 13 + 12x - 73 = 320 , that is
20x - 60 = 320 ( add 60 to both sides )
20x = 380 ( divide both sides by 20 )
x = 19
The sum of 20.7 and a number is 50.5.
Answer:
x = 29.8
Step-by-step explanation:
x represents the unknown number
20.7 + x = 50.5
x + 20.7 - 20.7 = 50.5 - 20.7
x = 50.5 - 20.7
x = 29.8
Four boys, Kurt, Marcus, Nathaniel, and Steven, all collect baseball cards. They recently met to show each other some of the cards they had collected. Each boy brought a different amount of cards with them. Nathaniel brought twice as many as Steven, Marcus had four less than Nathaniel, but one more than Kurt. All together, they have 47 cars. How many cars did Kurt bring?
Steven's cards = x
Nathaniel's cards = 2x
Marcus' cards = 2x - 4
Kurt's cards = 2x - 5
Since the sum of the cards is equal to 47, let's set all the cards equal to 47
x + 2x + 2x - 4 + 2x - 5 = 47
Combine like terms.
7x - 9 = 47
Add 9 to both sides
7x = 56
Divide both sides by 7
x = 8
Let's plug 8 into x for Kurt's cards.
Kurt's cards = 2x - 5 = 2(8) - 5 = 16 - 5 = 11 cards.
Ax^2+bx+c=(x+p)(x+q) What you know about p and q if c is less than 0. WILL MAKE BRAINLIEST!! If u provide EXPLANATION :)
Answer:
From what I know there is no q.
p=0 I put a slight explanation below.Hope it helps
Step-by-step explanation:
Ax^2+bx+c-p=x
Ax^2+bx+c-p-x=x-x
Ax^2+(b-1)x+c-p=0
What is the place value of 6 in the number 6,029?
Answer:
six thousand
Step-by-step explanation
it lies in place of thousand and value is 6
6* 1000=6000
The place value is thousand.
What is place value?Place value is the value of each digit in a number. For example, the 5 in 350 represents 5 tens, or 50; however, the 5 in 5,006 represents 5 thousands, or 5,000. It is important that children understand that whilst a digit can be the same, its value depends on where it is in the number.
given number:
6,029
So, place values are as follows:
9- ones
2- tens
0- hundred
6 - thousand
Hence, the place of 6 is thousand
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1. Write 0.00000248 in scientific notation.
Answer:
2.48 × 10 -6
Step-by-step explanation:
i don't know how to put it, but the negative next to the 6 is small, and high up, and so is the 6
A rectangular lawn is 40 feet by 50 feet. How wide a uniform strip has been mowed around
the edge if 3/10 of the lawn has not yet been mowed?
Answer:
The width of the strip is 28 ftStep-by-step explanation:
First lest us calculate the area of the rectangle
given that
length= 50ft
width= 40 ft
Area = length *width
Area= 50*40
Areaa= 2000 ft^2
given that 3/10 of the lawn is yet to be mowed
(3/10)*2000
0.3*2000= 600ft^2
Therefore the area that has been mowed is 2000-600= 1400 ft^2
1400 ft^2
since the direction of the mower is along the lenght of the lawn
area= lenght*width
1400= 50*width
width= 1400/50
width= 28 ft
A company invests $10,000 in a mutual fund account that earns a fixed
interest per year. The account balance, Alt), in dollars, after t years is shown
in the table below.
t
1
2
3
Alt)
10,800.00
11,664.00
12,597.12
Which of the following equations represents Aſt)?
A(t) = 10,000 + 1.08t
A(t) = 10,000(1.08) - 1
A(t) = 10,800(1.08)
A(t) = 10,800(1.08) - 1
You
Answer:
a(t)=10000+1.08t
Step-by-step explanation:
t
1
2
3
Alt)
10,800.00
11,664.00
12,597.12
Give 3 expressions equivalent to the expression 24x+60
Sherry has a package in the shape of a rectangular prism. What is the volume, in cubic inches (in.), of the rectangular prism? (use cubic inches as your unit) *
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete as the dimension of the prism is not given. However, the following steps can serve as a guide for you.
The volume of a rectangular prism is calculated as thus:
[tex]Volume = Length * Width * Height[/tex]
So, Take for instance
[tex]Length = 2\ in[/tex]
[tex]Width = 3\ in[/tex]
[tex]Height = 4\ in[/tex]
The Volume would be:
[tex]Volume = 2\ in * 3\ in * 4\ in[/tex]
[tex]Volume = 24\ in^3[/tex]
2.
Scientists estimate that the distribution of the life span of the Galápagos Islands giant tortoise is
approximately normal with mean 100 years and standard deviation 15 years. Based on the estimate, which
of the following is closest to the age of a Galápagos Islands giant tortoise at the 90th percentile of the
distribution?
Answer:
119.2
Step-by-step explanation:
Given the following :
Mean (m) = 100 years
Standard deviation (sd) = 15 years
closest to the age of a Galápagos Islands giant tortoise at the 90th percentile of the
distribution?
Obtain the Zscore for 90th percentile (0.90) on the z table = 1.28
Zscore = (X - mean) / standard deviation
1.28 = (X - 100) / 15
1.28 × 15 = X - 100
19.2 = X - 100
19.2 + 100 = X
X = 119.2
Using the normal distribution, it is found that an age of 119 years is closest to the 90th percentile.
-------------------
Normal Probability Distribution
The z-score formula is used, which, in a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. Each z-score has a p-value associated, which represents the percentile of X.-------------------
Mean of 100 means that [tex]\mu = 100[/tex]Standard deviation of 15 means that [tex]\sigma = 15[/tex]The 90th percentile is X when Z has a p-value of 0.9, so X when Z = 1.28.Thus:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.28 = \frac{X - 100}{15}[/tex]
[tex]X - 100 = 15(1.28)[/tex]
[tex]X = 119.2[/tex]
An age of 119 years is closest to the 90th percentile.
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why is the following conditional logically true? If 20 is a multiple of 3, then 101 is a perfect square
Answer: A number is a perfect square only if it has a odd number
Step-by-step explanation:
As an example of the use of the prime factorization of an integer, we have the following result. Theorem. If n > 1 is a positive integer, then n is a perfect square if and only if n has an odd number of divisiors.
Since 20 is not a multiple of 3 it means the given statement is wrong so 101 is a perfect square that will be correct.
What is the reasoning?The procedure of utilizing logical reasoning to analyze a condition to determine the best problem-solving approach for a particular issue, then using this approach to create and explain a resolution.
In another word, reasoning is a tricky but interesting problem in mathematics that required relations of variables to solve.
Given the first statement
20 is multiple of 3
Since 20/3 given remainder of 3 so it is not multiple.
So the first statement is wrong.
So if the question is saying this it means the question will consider all correct statements as wrong.
Now,
101 is a perfect square is wrong but the question will consider it correct.
Hence "Since 20 is not a multiple of 3 it means the given statement is wrong so 101 is a perfect square".
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