20 of the 120 don’t take either. This means 100 students take French, Spanish or both.
The total taking a language is 53 + 68 = 121
A) 131 -100 = 21
There are 21 students taking both French and Spanish
B) 53-21 = 32 take Spanish only.
32 / 120 students = 4/15 probability
1. find the area of a semi circle of diameter 14cm
2.find the area of a circle of radius 1cm
3.find the areaof a circular lawn whose diameter is 10cm
#1
d=14cmr=14/2=7cm[tex]\\ \sf\longmapsto Area=\pi r^2[/tex]
[tex]\\ \sf\longmapsto Area=3.14(7)^2[/tex]
[tex]\\ \sf\longmapsto Area\approx 154cm^2[/tex]
#2
r=1cm[tex]\\ \sf\longmapsto Area=\pi r^2[/tex]
[tex]\\ \sf\longmapsto Area=3.14(1)^2[/tex]
[tex]\\ \sf\longmapsto Area=3.14cm^2[/tex]
#3
d=10cmr=5cm[tex]\\ \sf\longmapsto Area=3.14(5)^2[/tex]
[tex]\\ \sf\longmapsto Area=3.14(25)[/tex]
[tex]\\ \sf\longmapsto Area=78.5cm^2[/tex]
Answer:
1. Diameter of a semicircles =14cm
Radius or semicircle =7cm
*Area if circle =pi radius 2
=22/7 × 7×7cm 2
=154cm 2
But semicircle is half if a circle so,
Area of a semicircle =1/2 ×154cm2
=77cm2
2. Radius of the circle =1cm
Area of the circle=pi radius 2
=3.14×1×1
=3.14cm2
3.Diameter of a circular lawn=10m
Radius of the circular lawn =5m
Area of the circular lawn =pi radius2
=3.14×5m×5m
=78.5m2
Hope this helps:)HELP!
Problem:
Dan is cutting 4.75 foot lengths of twine from a 240 foot spool of twine. He needs to cut 42 lengths and says that 40.5 feet of twine will remain. Show that this is reasonable.
Answer:
4.75 is about -5(40) =-200, and 340-200=40
Step-by-step explanation:
Estimate the sum of 8.43 + 8.12 + 7.98
Answer:
24.53 is your answer!
Step-by-step explanation:
add all of the numbers from the correct place values.
SOMEONE PLEASE HELP‼️‼️‼️ILL MARK BRAINLYEST WHAT EVER IT IS CALLED PLEASE ‼️‼️‼️
1. Find the value of x in the figure below if GH is parallel to JK.
A. 4 units
B. 9.8 units
C. 6.7 units
D. 5 units
Answer:
D. 5 units
Step-by-step explanation:
The parallel segments divide the slant segments proportionally:
7.5/10.5 = x/7
x = 7(7.5/10.5) = 5 . . . . . multiply by 7
The value of x is 5 units.
_____
If you want to use corresponding sides of similar triangles, you get the same result. ΔIGH ~ ΔIJK
IJ/IG = IK/IH
7/(7+10.5) = x/(x+7.5) . . . . substitute shown values
7(x +7.5) = 17.5x . . . . . . . cross multiply
7(7.5) = 10.5x . . . . . . . . . subtract 7x
x = 7(7.5/10.5) = 5 . . . . . divide by the coefficient of x
Answer:
D 5 units
Step-by-step explanation:
I got it right on the quiz
a shower head model is using 25 gallons every 5 minutes. How many gallons will be used in one minute?
Answer:
47 gallons is you want the world wide web nya berarti aku 0you
Which of these is a ratio equivalent to 3/2?
A. 6/4
B. 3/4
C. 5/2
D. 5/2
Answer:
A
Hope I helped
Solve the following system of equations graphically on the set of axes below.
y=x+1
3x+y=−7
(worth 60 points)
Answer:
(-2, -1)Step-by-step explanation:
Given system:
y = x + 13x + y = − 7Graph each line and find the point of intersection of lines.
Graphical solution is attached.
The solution is (-2, -1)
(-2, -1)
y = x + 1 ... (1)
3x + y = -7 ... (2)
Graph in the picture.
Compare the properties of each exponential function over the interval(0,4)
Answer:
sdgsehseh
Step-by-step explanation:
sehsdhsehsdhs
help pls ill give you brainliest :))
Answer:
D) 14.2
Step-by-step explanation:
What is the sum of all the values of m that satisfies [tex]4mx^{2} −2m-6=0[/tex]
Answer:
The sum of the solutions = 1/2
Step-by-step explanation:
4m^2 - 2m - 6 = 0
Factor out 2
2( 2m^2 -m-3) =0
2 ( 2m-3)(m+1) =0
Using the zero product property
2m-3 =0 m+1 =0
2m =3 m=-1
m = 3/2 m=-1
Adding the solutions
3/2 -1
+3/2 -2/2
1/2
9514 1404 393
Answer:
1/2
Step-by-step explanation:
A quadratic equations that has solutions p and q can be factored as ...
(x -p)(x -q) = 0
When this is expanded, it becomes ...
x^2 -(p+q)x +pq = 0
That is, the opposite of the x-coefficient is the sum of the solutions.
__
We can put your quadratic into this form by dividing by the leading coefficient, 4.
(1/4)(4m^2 -2m -6) = 0
m^2 -1/2m -3/2 = 0
The coefficient of the linear term is -1/2. This tells us the sum of the solutions is -(-1/2) = 1/2.
80% of __ = 16
Find the missing number Please help :(
Answer:
20
Step-by-step explanation:
16/4=4
4*5=20
16=4/5 (80%) so 20= 5/5 (100%)
Answer: 20
Step-by-step explanation:
80/100 x Y = 16
80Y/100 = 16/1
Cross multiply
80Y = 1600
Divide both sides by 80
Y = 1600/80
Y = 20
is the product of two irrational numbers always gonna be irrational
well, we can say that √2 and √7 are irrational numbers, they do not provide a value that can be written in a "ration" or fractional.
we can also say that √2 * √7 is √(14), which is also irrational.
However, how about √7 * √7, that's √7² or namely just 7, and that's a rational, so nope, not always.
Put these in order starting with the smallest.
Answer:
Step-by-step explanation:
[tex]9^{\frac{3}{2} }[/tex] = ( √9 )³ = 27
[tex]27^{\frac{1}{3} }[/tex] = ∛27 = 3
[tex]125^{\frac{2}{3} }[/tex] = ( ∛125 )² = 25
[tex]27^{\frac{1}{3} }[/tex] , [tex]125^{\frac{2}{3} }[/tex] , [tex]9^{\frac{3}{2} }[/tex]
Answer:
[tex] {27}^{ \frac{1}{3} } < {125} ^{ \frac{2}{3} } < {9}^{ \frac{3}{2} }[/tex]
Step-by-step explanation:
[tex] {9}^{ \frac{3}{2} } = \sqrt[2]{ {9}^{3} } = \sqrt[2]{ {3}^{6} } = { 3}^{3} \\ {27}^{ \frac{1}{3} } = \sqrt[3]{27} = \sqrt[ 3]{ {3}^{3} } = 3 \\ {9}^{ \frac{3}{2} } > {27}^{ \frac{1}{ 3} } \\ \\ {125}^{ \frac{2}{3} } = \sqrt[3]{ {125}^{2} } = \sqrt[3]{ {5}^{6} } = 25 \\ \\ 3 < 25 < {3}^{3} \\ {27}^{ \frac{1}{3} } < {125} ^{ \frac{2}{3} } < {9}^{ \frac{3}{2} }[/tex]
Can someone help me?
Answer:
89 degrees
Step-by-step explanation:
Answer:
89°
Step-by-step explanation:
The sum of all 3 angles in a triangles equals 180. If you add 50 to 41, you get 91. Then, you subtract 91 from 180, getting 89 degrees. Next, you square 89, add 170, subtract 12, add 3,218, subtract 3376, and find square root.
I've been told I have strange ways of finding the answers to mathematical questions.
Reciprocal of 7 5/8 as fraction
Hey there!
7 5/8
= 7 * 8 + 5 / 8
= 56 + 5 / 8
= 61 / 8
= 61 ÷ 8
= 7.625
Reciprocal form for fraction is basically the bottom number switched from the top number
Therefore, your answer is: 7 8/5
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Which graph represents the solution set of the compound inequality -43x-1 and 2x+43 18?
;+
-10
-5
0
10
-10
-5
0
5
10
-10
10
о
-10
0
5
10
Answer:
Step-by-step explanation:
YOU CAN DO THIS :)
Raj had 1/2 gallon of orange juice. He used 8/9 of the juice to make punch. Raj used this expression to find the amount of juice he used to make punch. 1/2 x 8/9
how much orange juice did Raj use to make punch? the fraction need to be in the simplest form.
Answer:
4/9
Hope i helped
What is the average rate of change of the function from x=1 to x=3?
Answer:
3
Step-by-step explanation:
12,00 miles; 5% increase
Answer:
12600
Step-by-step explanation:
what does b=????
27b-9=45b+45
Answer:
b=-3
Step-by-step explanation:
Please help me with this question :)
Answer:
B
B
B
Step-by-step explanation:
Probability doesn't deal with decimals and even if you change the values into fraction. I don't think you will get the right answer
when: A=3, B=4, and C=2 Evaluate: ABC-A
Answer:
21
Step-by-step explanation:
Note that you are multiplying the values of A, B, & C together, and then subtracting the value of A from it. Plug in the corresponding numbers to the corresponding variables:
ABC - A
(3 * 4 * 2) - 3
(12 * 2) - 3
(24) - 3 = 21
21 is your answer.
~
write an equation of the line in slope-intercept form that passes through (5,-2) and has a slope of -1/3
Answer:
y = - 1/3x - 1/3
Step-by-step explanation:
Slope: - 1/3
y-intercept: -2 - (- 1/3)(5) = - 2 + 5/3 = - 1/3
PLEASE SOMEONE HELP ME OUT THIS IS URGENT PLEASE AND THANK YOU! ):
Answer:
for the first line let (-4,-3) be (x1,y1) and (8,0) be x2,y2.
now,
slope (m1) = (y2-y1)/ (x2-x1)
or, m1= 0-(-3)/ 8-(-4)
or, m1=3/12=1/4
again, for line two consider (0,2) as x1,y1 and (-1,6) be (x2,y2)
apply the same formula and find the slope(m2)
m2=6-2/-1-0
or, m2=4/-1
for b) m1 multiply m2
or 1/4 x 4/-1
=-1 so it is perpendicular
Step-by-step explanation:
for a we simply apply the formula of slope considering the given points as x1,y1 and x2,y2 respectively.
while for the b number if m1 x m2 =-1 the line is considered to be perpendicular.
similarly, if m1=m2 then it is considered to be parallel.
here m1 is slope of the first line, m2 is slope of second line and m3 is the slope of the third line
RAMP
21.7 ft
8.5 ft
12 ft
20 ft
1. What is the total surface area of the ramp?
The surface area of the triangular prism ramp is: 1,020 ft².
Surface Area of Triangular PrismSurface area = 1/2(base area × height)
The triangular prism has the following dimensions:
base area = 20 × 12 = 240 ft²
height = 8.5 ft
Plug the values into the formula:
Surface area = 1/2(240 × 8.5)
Surface area = 1/2(2,040)
Surface area = 1,020 ft²
Therefore, the surface area of the triangular prism ramp is: 1,020 ft².
Learn more about triangular prism on:
https://brainly.com/question/16147227
1.) 5x-10=2x-7
2.) 1+x=-5x+25
3.) 8-x=5x+20
4.) -2+2x=6x-6
5.) 3x+2=4x+4
The average electric bill from Duke Energy is $147 with a standard deviation of $32. What is the probability that the bill will be less than $100?
Group of answer choices
93%
10%
7%
17%
The probability that the bill will be less than $100 is 7%
The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:
[tex]z=\frac{x-\mu}{\sigma} \\\\x=raw\ score, \sigma=standard\ deviation, \mu=mean\\\\\\Given\ that\ \sigma=32,\mu=147,hence:\\\\For\ x<100:\\\\z=\frac{100-147}{32}=-1.47[/tex]
From the normal distribution table, P(x < 100) = P(z < -1.47) = 0.0708 = 7.08%
The probability that the bill will be less than $100 is 7%
Find out more at: https://brainly.com/question/15016913
Graph the compound inequality on the number line.
Answer:
x can equal any number between 0 and 8. This also includes 8.
Step-by-step explanation:
As noted in the problem, x is more than -1 (x > -1)
So we can infer that -1 and anything past it to the left is not a viable answer.
As noted in the problem, x is lesser than or equal to 8 (x ≤ 8) meaning that anything past 8 to the right will not be a viable answer.///
It will look something like this.
It will stop here --v
---•---|---|---|---|---|---|---|---•---
0 1 2 3 4 5 6 7 8
(Hope this helped, however I learned this 2 years ago so my memory might be a little foggy. The exact kind of point (filled or not) namely won't be something I know.)
please guys help me qith this i will brainlist u i promise
write the standard form of the given number words
1.three million,eighty-five thousand three
2.one hundred fourteen million,seven hundred twenty-six.
3.seven million ninety-eight thousand
4.eight hundred eighty-two thousand,one hundred eight
5.five hundred million,six thousand,seven hundred nineteen.
Answer:
1. 3,085,003
2. 114,000,726
3. 7,098,000
4. 882,108
5. 500,006,719
Step-by-step explanation:
Evaluate 4(x-3)+5x-x^2 for x = 5
Answer:
the answer is 8
Step-by-step explanation:
1. plug in 5 where there is an x: 4(5-3)+5(5)-[tex]5^{2}[/tex]
2. solve everything out and cancel: 4(2)+25-25
3. 4(2)=8
Step-by-step explanation:
Given that:
Evaluate 4(x-3)+5x-x^2 for x = 5
⇛4(5-3)+5(5)-5²
⇛4(2) + 25 - 5*5
⇛8 + 25 - 25
⇛8 - 0
⇛8 Ans
Read more:
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Evaluate the expression 3 4/5x − 2 1/2 for x = −5.
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