Answer:
10 student failed in both subjects.
Step-by-step explanation:
Since out of 100 students who appeared in grade VIII annual examination of Ram Janaki Secondary School, 60 passed in mathematics, 50 in science and 20 students passed in both subjects, to determine how many failed in both subjects the following calculation must be performed:
(100 - 20) - (60 - 20) - (50 - 20) = X
80 - 40 - 30 = X
40 - 30 = X
10 = X
Therefore, 10 student failed in both subjects.
can someone help me with part A please??
Answer:
h=4cm
Step-by-step explanation:
a) volume of a cuboid= LBH
cuboid a=(3x2x8)cm³
=48cm³
cuboidb
6cmx2cmxh=48cm³
12cm²xh=48cm³
12cm²h/12cm²=48cm³/12cm²
h=4cm
Solve for x
1) 3x - 2 = 10
Answer:
Hi, there your answer is x=4
Step-by-step explanation:
Step 1: Add 2 to both sides.
3x−2+2=10+2
3x=12
Step 2: Divide both sides by 3.
[tex]\frac{3x}{3}=\frac{12}{3}[/tex]
x=4
Determine the value of”k” when the lines y=k/3x+2 and y=1/4x+2 are perpendicular.
Answer:
k = -12
Step-by-step explanation:
When lines are perpendicular, their slopes are the opposite reciprocal of each other.
The opposite reciprocal of [tex]\frac{1}{4}[/tex] is -4
[tex]\frac{k}{3}=-4[/tex]
k = -12
On a number line, graph all the temperature that are warmer than -2 degrees Celsius
(a) A temperature of -2 °C is warmer than a temperature of -5 °C as the temperature on the graph decreases.
(b)The inequality -2>-5 will be used to illustrate the connection between -2 and -5.
What is a graph?A diagram depicting the relationship between two or more variables, each measured along with one of a pair of axes at right angles.
On a number line, graph all the temperature that are warmer than -2°C.
(a)-2 °C temperature is warmer,As the temperature in the graph is decreasing,-2 °C temperature is warmer than -5 °C.
The inequality to express the relationship between -2 and -5 will be -2>-5.
Hence,temperature of -2 °C is warmer than a temperature of -5 °C as the temperature on the graph decreases.
To learn more about the graph, refer to the link;
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Find the gradient of the line segment between the points (-5,2) and (4,3) give your answer in the simplest form
Answer: The gradient of the line segment between the points (-5,2) and (4,3) is [tex]\dfrac{1}{9}[/tex].
Step-by-step explanation:
Formula for gradient of a line segment :
[tex]\text{Gradient}=\dfrac{\text{Difference between y-coordinates}}{\text{Difference between x-coordinates}}[/tex]
Given points of the line segment: (-5,2) and (4,3)
[tex]\text{Gradient} =\dfrac{3-2}{4-(-5)}[/tex]
[tex]\text{Gradient} =\dfrac{1}{4+5)}[/tex]
[tex]\text{Gradient} =\dfrac{1}{9}[/tex]
Therefore , the gradient of the line segment between the points (-5,2) and (4,3) is [tex]\dfrac{1}{9}[/tex].
HELP ME WITH THIS PLEASEEEE
Ravi is 8 years older than nastasha the sum of their ages is 42 find their ages
Answer: Natasha is 17 and Ravi is 25
Step-by-step explanation:
Let n = Natasha’s age and r = Ravi’s age
We can write an equation then substitute: 42=n+r
We know that Ravi is 8 years older than Natasha, so Ravi’s age is equal to n+8. We can substitute that in, so 42= n+(n+8)
Simplify:
42=n+(n+8)
42= 2n+8
42-8=2n+8-8 (subtract 8 from both sides to isolate n)
34=2n
34/2=2n/2 (divide both sides by two)
17=n
Natasha is 17, and Ravi is 8 years older. 17+8= 25, Ravi is 25. You can double check by adding 25 and 17 together, which brings you back to 42 :]
If I roll 3 Dice .. What is the probability that I roll, a Even Number, and Odd Number, and a number bigger than 3. (P even, odd and >3)
- Andrew gave half of his money to support a local charity. From what was left, he spent
$22.75 on a present for his sister. If he had $183.89 left over, how much did he have to
begin with?
How do you prove that lines are similar in triangles if it is parallel? (look at photo)
Answer:
they are similar cuz it resembles a "z" pattern. The angles are so the same.
no links please!!!!!!!!!ty!!!
Answer:
<2 = 75
Step-by-step explanation:
<1 and <2 form a straight line which means that they add to 180
<1+<2 =180
105+<2 =180
Subtract 105 from each side
<2 =180-105
<2 = 75
What is the remainder when 4x^3+8x-32 is divided by x+10?
Answer:
The remainder is -4112.
Step-by-step explanation:
We can use the Polynomial Remainder Theorem. According to the PRT, when we divide a polynomial P(x) by a binomial in the form of (x - a), then the remainder will be P(a).
We are dividing:
[tex](4x^3+8x-32)\text{ by } (x+10)[/tex]
We can rewrite the divisor as:
[tex]x+10=x-(-10)[/tex]
So, a = -10.
Then according to the PRT, the remainder of the operation will be:
[tex]R=P(-10)=4(-10)^3+8(-10)-32=-4112[/tex]
Which statement accurately describes how to reflect point A (3, −1) over the y-axis?
Answer:
Are there any options to choose from???
Triangle MNO has vertices M(6,5), N(2,2), and O(7,0). It's image has vertices M'(-6,5), N'(-2,2), and
O'(-7,0). Which line of reflection maps triangle MNO onto its image?
x = 1
y=1
x = 0
.y=0
Answer:
x=0
Step-by-step explanation:
because the y values are not changing and the x values are only changing from positive to negative.
math. please help..with working
Answer:
[tex]\text{(C) }300\pi\:\mathrm{cm^3}[/tex]
Step-by-step explanation:
The volume of a cylinder with radius [tex]r[/tex] and height [tex]h[/tex] is given by [tex]V=r^2\pi \cdot h[/tex].
What we're given:
[tex]r[/tex] of 5 cm[tex]h[/tex] of 12 cmSubstituting given values, we get:
[tex]V=5^2\pi \cdot 12 =\boxed{300\pi\:\mathrm{cm^3}}[/tex]
Answer:
c
Step-by-step explanation:
The formula for the volume of a cylinder is [tex]V=\pi r^2h[/tex]
We know r is 5, and h is 12.
Then we can just plug the values into the formula.
[tex]V=\pi (5)^2(12)\\ V=\pi (25)(12)\\\V=\pi (300)[/tex]
So the answer is c, 300pi
round to the nearest tenth for 69.08, 43.96, 39.564 please show how to do it
Answer:
69.08 ⇒ nearest tenth
To round 69.08 to the nearest tenth, 0 is in the tenths place and 8 is in the hundredths place. Since the digit in the hundredths place (8) is greater than 5, add 1 to the digit in the tenths place (0).
1 + 0 = 1, so the digit in the tenths place becomes 1 & the digit in the hundredths place is dropped.
∴ 69.08 ≈ 69.1 (corrected to the nearest tenth)
43.96 ⇒ nearest tenth
To round 43.96 to the nearest tenth, 9 is in the tenths place and 6 is in the hundredths place. Since the digit in the hundredths place (6) is more than 5, add 1 to the digit in the tenths place (9), add 1 to the digit in the tenths place (9). This will also add 1 to the whole number part and make the fractional part 0.
1 + 9 = 10
∴ 43.96 ≈ 44 (corrected to the nearest tenth)
39.564 ⇒ nearest tenth
To round 39.564 to the nearest tenth, 5 is in the tenths place and 6 is in the hundredths place. Since the digit in the hundredths place (6) is more than 5, add 1 to the digit in the tenths place (5), add 1 to the digit in the tenths place (5).
1 + 5 = 6, so the digit in the tenths place becomes 6 & the digit in the hundredths and thousandths place is dropped.
∴ 39.564 ≈ 39.6 (corrected to the nearest tenth)
Rounding to the nearest tenth are:
69.08 rounded to the nearest tenth is 69.1.43.96 rounded to the nearest tenth is 44.0.39.564 rounded to the nearest tenth is 39.6.Rounding to the nearest tenth means finding the nearest multiple of 0.1 or one decimal place.
To do this, examine the digit in the hundredth place and decide whether to round up or down based on that digit.
For 69.08, the digit in the hundredth place is 0.
Since 0 is less than 5 then round down, which means the digit in the tenths place remains the same.
Thus, 69.08 rounded to the nearest tenth is 69.1.
For 43.96, the digit in the hundredth place is 9.
Since 9 is greater than or equal to 5, increasing the digit in the tenths place by 1.
Therefore, 43.96 rounded to the nearest tenth is 44.0.
For 39.564, the digit in the hundredth place is 5.
Since 5 is exactly halfway between 0 and 10, round to the nearest even number.
Thus, 39.564 rounded to the nearest tenth is 39.6.
Learn more about Rounding off here:
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Explain fully, please
Answer:
Step-by-step explanation:
formula of volume of cone is given so u simply substitute the values given and calculate.
Work is done for u .
Hope this helps u
a/2-8=-4
I have no idea how to do this!!
Answer:
a = 8
Step-by-step explanation:
a ÷ 2 - 8 + 8 = - 4 + 8
a ÷ 2 = 4
a ÷ 2 × 2 = 4 × 2
a = 8
Answer:
a = 8
Step-by-step explanation:
Given
[tex]\frac{a}{2}[/tex] - 8 = - 4 ( add 8 to both sides )
[tex]\frac{a}{2}[/tex] = 4 ( multiply both sides by 2 to clear the fraction )
a = 8
I’m stuck on this question plz help
Answer:
3(n-8)
Step-by-step explanation:
Mrs. Smith wants to purchase table pads for her circular dining room table. If the table has a diameter of 3 feet and the pads cost 50 cents per square foot, approximately how much will the table pads cost? Use 3.14 for
Answer:3.53
Step-by-step explanation:
I found it on a quiz game got it right
What is the median of this set of data?
362, 187, 211, 298, 331, 250, 347, 199
Answer:
187, 199, 211, 250, 298, 331, 347, 362
[tex]median = {( \frac{n}{2} + 1) }^{th} \: value \\ = ( \frac{8}{2} + 1) {}^{th} \: value \\ = {5}^{th} \: value \\ median = 298[/tex]
Answer:
The median is the middle number in a set of data when the data is arranged in ascending (this is more common) or descending order. If there are an even number of values in the data set, the median is the arithmetic mean of the two middle numbers. Thus, the median separates the lower and higher half of a data set.
Step-by-step explanation:
ascending order : 187, 199, 211, 250, 298, 331, 347, 362
answer: 250, 298 .
Does f(x) = - 3x² + 6x - 4 have a maximum or
minimum? Find the value
Answer:
Maximum value.
it = -1.
Step-by-step explanation:
Maximum value as the coefficient of x^2 is negative.
To find this value we convert to vertex form:
y = -3x^2 + 6x - 4
y = -3(x^2 - 2x) - 4
y = -3[(x - 1)^2 - 1] - 4
y = -3(x - 1)^2 + 3 - 4
y = =3(x - 1)^2 - 1
Minimum value = -1.
Solve -7u = -21 for u. u =
Answer: u = 3
Step-by-step explanation:
Divide each side by -7 to get u = 3.
Answer:
3
Step-by-step explanation:
-7u = -21
To solve the problem we need to isolate u. Since -7 is being multiplied by u, we could divide to get rid of it.
-7u
[tex] \frac{ - 7u}{ - 7} = - 21 \div - 7[/tex]
u= -21/-7
u = 3
A university record search of 250 incoming freshmen
at a state university shows that 26 had received college
credit for science courses but not math courses,
and 12 had received college credit for math but not
science. There were 202 that had not received college
credit for either.
a. How many of the students had received college credit for math?
b. How many had received credit for science courses?
Answer:
a. 12 students had received college credit for math
b. 26 students had received college credit for science
A camera and a case cost 100 dollars. If the camera cost 90 more dollars than the case. How much does the case cost.
Answer:
Cost of case = $5
Step-by-step explanation:
x = cost of camera and y = cost of case
x = y + 90
x + y = 100
y + 90 + y = 100
2y = 10
y = 5
x = y + 90
x = 5 + 90
x = 95
Therefore, the cost of the camera is $95 and the cost of the case is $5.
The cost of case is 5 dollars.
What is the equation?The equation is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is equal.
Let,
Cost of camera = a and
Cost of case = b
Given that, camera and a case cost 100 dollars
a + b = 100
Since, the camera cost 90 more dollars than the case
So, a = b + 90
Substitute the value in the equation a + b = 100
b + 90 + b = 100
2b = 10
Divided by 2 both the sides
b = 5
Substitute the value of b in equation
a = b+ 90
a = 5 + 90
a = 95
So, the cost of the camera is $95 and the cost of the case is $5.
Hence, the cost of the case is 5 dollars.
Learn more about equation here:
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State if triangles HAG and CAB are similar and why.
One of the legs of a right triangle measures 12 cm and the other leg measures 16 cm. Find the measure of the hypotenuse. If necessary, round to the nearest tenth.
Answer: 20 cm
Step-by-step explanation:
Given
For the right angle triangle, the length of the other two sides of triangle are 12 cm and 16 cm
Using the Pythagoras theorem, [tex](\text{Hypotenuse})^2=(\text{Perpendicular})^2+(\text{base})^2[/tex]
Insert the values
[tex]\Rightarrow H^2=12^2+16^2\\\Rightarrow H^2=144+256\\\Rightarrow H^2=400\\\Rightarrow H=\sqrt{400}\\\Rightarrow H=20\ cm[/tex]
Place the following linear equation in slope intercept form: 6x - 4y = 9
Answer:
y = 3/2 x - 9/4
Step-by-step explanation:
bring all the y's to one side.
4y = 6x-9
divide by 4 to isolate the y
y = 6/4x - 9/4
simplify
y = 3/2 x - 9/4
Answer:
y = (3/2)x - 9/4
Step-by-step explanation:
Slope intercept form is
y = mx + b
------------------
6x - 4y = 9
subtract 6x from both sides
-4y = -6x + 9
Divide both sides by -4
y = (3/2)x - 9/4
Sum1 plz help with this
Answer:
ur answer is 8.06
Step-by-step explanation:
a² + b²= c²
4² + 7² = c²
16 + 49 = c²
65 sooo u do √65= 8.06
find any 4 rational number between -1/2 and -1/3
Given:
The two numbers are [tex]-\dfrac{1}{2}[/tex] and [tex]-\dfrac{1}{3}[/tex].
To find:
The 4 rational numbers between the given numbers.
Solution:
We have,
[tex]-\dfrac{1}{2}[/tex] and [tex]-\dfrac{1}{3}[/tex]
First we need to make common denominators. So multiply and divide the first fraction by 3 and second fraction by 2.
[tex]-\dfrac{1\times 3}{2\times 3}=-\dfrac{3}{6}[/tex]
[tex]-\dfrac{1\times 2}{3\times 2}=-\dfrac{2}{6}[/tex]
We need to find 4 rational numbers between the given numbers. So, multiply and divide both fractions by five, (4+1=5).
[tex]-\dfrac{3\times 5}{6\times 5}=-\dfrac{15}{30}[/tex]
[tex]-\dfrac{2\times 5}{6\times 5}=-\dfrac{10}{30}[/tex]
Now, the four numbers between -15 to -10 are -14, -13, -12, -11.
[tex]-15<-14<-13<-12<-11<-10[/tex]
[tex]-\dfrac{15}{30}<-\dfrac{14}{30}<-\dfrac{13}{30}<-\dfrac{12}{30}<-\dfrac{11}{30}<-\dfrac{10}{30}[/tex]
[tex]-\dfrac{1}{2}<-\dfrac{14}{30}<-\dfrac{13}{30}<-\dfrac{12}{30}<-\dfrac{11}{30}<-\dfrac{1}{3}[/tex]
Therefore, the 4 rational number between the given numbers are [tex]-\dfrac{14}{30},\ -\dfrac{13}{30},\ -\dfrac{12}{30}\ -\dfrac{11}{30}[/tex].
