Answer:
A
Step-by-step explanation:
From the first inequality,we got:
11x+4<15
11x<11
x<1
From the second inequality,we got:
12x>-18
x>-3/2
Combine it together we got
-3/2<x<1
Answer:
All values of x are solutions
Step-by-step explanation:
In how many ways can 3 red balls , 4 blue balls and
5 white balls be selected from 5 red balls, 5 blue
balls and 7 white balls ?
Answer:
1050 ways
Step-by-step explanation:
Total Number of red balls = 5
Total Number of blue balls = 5
Total Number of white balls = 7
Number of red balls selected = 3
Number of blue balls selected = 4
Number of red balls selected = 5
Using the multiplication and combination relation :
nCr * nCr * nCr
Red balls = 5C3
Blue balls = 5C4
White balls = 7C5
Using calculator:
5C3 * 5C4 * 7C5 = 10 * 5 * 21
(10 * 5 * 21) = 1050 ways
Find the volume of the given prism. Round to the nearest tenth if necessary.
1 m
34
8.5 m
17 m
Question 2 (4 points)
Given:
The base of the prism is a right triangle with legs 1 m and 2 m.
The height of the prism is 17 m.
To find:
The volume of the given prism.
Solution:
The area of a triangle is:
[tex]Area=\dfrac{1}{2}\times base\times height[/tex]
So, the area of base of the prism is:
[tex]Area=\dfrac{1}{2}\times 1\times 2[/tex]
[tex]Area=1[/tex]
Now, the volume of the prism is:
[tex]V=Bh[/tex]
Where, B is the base area and h is the height of the prism.
Substituting [tex]B=1,h=17[/tex], we get
[tex]V=(1)(17)[/tex]
[tex]V=17[/tex]
The volume of the prism is 17 cubic m. Therefore, the correct option is (d).
hii can you help me please
Step-by-step explanation:
a. false
b.true
c.false
d. false
Answer:
a. False
b. True
c. True
d. False
Step-by-step explanation:
AThe formula for the area of a trapezoid treats the distance between the parallel sides as the height. Doing this lists the height as 4m.
BYou can separate a trapezoid into a rectangle with a width of 3 and a height of 4, as well as a right triangle with a width of 2 and a height of 4.
CThis expression is the written out portion of separating the trapezoid into a triangle and rectangle.
(3 * 4) represents the rectangle and (1/2 * 2 * 4) represents the triangle.
DThe area as found by the accurate expression in part C is 16.
dividing radicals
Simplify
[tex]\mathbb{ANSWER:}[/tex]
[tex]\sf \frac{-3-\sqrt{2} }{3\sqrt{17} }[/tex]
[tex]\sf = \frac{-3-\sqrt{2} }{3\sqrt{17} } \cdot \frac{\sqrt{17} }{\sqrt{17} }[/tex]
[tex]\sf = \boxed{\sf \frac{-3\sqrt{17} - \sqrt{34} }{51} }[/tex]
Please!!!!!!!
Can someone please help me with this question.
The answer choices are in the picture right along with the question.
I will mark the first person brainliest if they answer with an actual answer not a link.
Answer:
B.
Step-by-step explanation:
can someone please help me solve this, ASAP!
Which is a graph of y= -2x + 3?
Answer:
B (or top right)
Step-by-step explanation:
The equation is written using the y = mx + b format.
m = slope
b = y-intercept
Can someone please do this? I need it bad
Answer:
this pdf is not downloading .
no idea what to do now .
can you give question on comments
Which expression is equivalent to 173-10+3(25+1)?
238-9
238-7
118-7
118-9
Answer:
Step-by-step explanation:
173-10+3(25+1)=241
238-9=229
238-7=231
118-7=111
118-9=109
The length of the base edge of a pyramid with a regular hexagon base is represented as x. The height of the pyramid is 3 times longer than the base edge. The height of the pyramid can be represented as The of an equilateral triangle with length x is (x ^ 2 * sqrt(3))/4 * u * n * i * t * s ^ 2 times the The area of the hexagon base is area of the equilateral triangle . The volume of the pyramid is x ^ 3 * sqrt(3) * u * n * i * t * s ^ 3
1.) 3x
2.) area
3.) six
4.) 3/2
:)
Answer:
The height of the pyramid can be represented as
3x
The
area
of an equilateral triangle with length
The area of the hexagon base is
six
The volume of the pyramid is
3/2
Step-by-step explanation:
The spinner shown is divided into congruent sections that each contain a number. If the spinner is spun one time, what is the probability of NOT landing on a 1?
==========================================================
Explanation:
There are 12 sections total. It might help to picture the circle split into quarters, and then each quarter is split into three pieces, giving 4*3 = 12 slices total. Or it might help to think of numbers on a round clock face.
Of these 12 sections, we have the value "1" show up exactly 4 times. That means the other values show up 12-4 = 8 times. The probability of not landing on "1" is therefore 8/12 = 2/3.
Side note: Divide both parts of 8/12 by the GCF 4 to reduce the fraction.
Rectangle ABCD with vertices A(-8,6), B(-2,8), C(-1,5), and D(-7,3) is reflected over the y-axis. What are the new points?
How do i do this? With steps pleaseeeeeeeeeee thank youuu
Answer:
110°
Step-by-step explanation:
Since angle B is 30° and the ratio of a to b is 2:1, multiply 30 by 2 to get the measure of angle a = 60°.
Since angles a is 60° And the ratio of a to c is 3:1, divide 60 by 3 to get the measure of angle c = 20°.
add them up:
60 + 30 + 20 = 110°
Rhondas test score was 75%. if there were 48 items on the test ,how many did she awnser correctly
Answer:
36 problems correctly
Step-by-step explanation:
48*.75
Answer:
36
Step-by-step explanation:
Help if you can!! I really need some good grades or I will fail on this and that wont help anything.
Answer: 6 1/8
Step-by-step explanation:
Each x on the line represents one piece of string that long. For example, since there is one x at 1/8, she cut one piece of string 1/8 ft long. So you take all the values and add them up:
1/8+2/4+2/4+2/4+2/4+5/8+3/4+3/4+7/8
then find a common denominator (so make everything over 8)
1/8+4/8+4/8+4/8+4/8+5/8+6/8+6/8+7/8 = 41/8
when you divide this, you will get 5 1/8
since theoriginal problem says she still has 1 foot leftover, you add one to get the total value when she started.
So, Emma had 6 1/8 ft string originally
Helppppppppp mmmmmmmeeeeeeeeeee
Answer:
56.25 π cm^2
Step-by-step explanation:
The circumference of a circle is given by C = 2 π r
15 π = 2 π r
Divide each side by π
15 = 2r
Divide by 2
15/2 = 2r/2
7.5 = r
We want to find tha area
A = π r^2
A = π (7.5)^2
A = π 56.25
A = 56.25 π
what is 238 rouned to the nearst houndred
Answer:
200
Step-by-step explanation:
Select the approximate solution to the equation
Answer:
Step-by-step explanation:
hello : x = -0.75
Solve the system with substitution
72 +10y = 36
y = 2x + 9
Answer:
x= -63 y= -117
Step-by-step explanation:
72+10(2x+9)=36
72+20x+90=36
162+20x=36
20x=-126
×= -63
y= 2(-63)+9
y=-126+9
y= -117
Need help take your time and thank yoh
Answer:
(x - 3)(x - 12)
Step-by-step explanation:
Assuming you require to factor the expression
x² - 15x + 36
Consider the factors of the constant term (+ 36) which sum to give the coefficient of the x- term (- 15)
The factors are - 3 and - 12, since
- 3 × - 12 = + 36 and - 3 - 12 = - 15 , then
x² - 15x + 36 = (x - 3)(x - 12) ← in factored form
Xavier is a new student, explain to him what a variable is. Use complete sentences.
Answer:a symbol, usually a letter, used to represent a number.
Step-by-step explanation:
a math process (like adding, subtracting, multiplying, or dividing)
Compare |−5| and |3|.
Answer:
|-5| > |3|
because the absolute value of -5 is five which is greater than 3
Jane used a Venn diagram to sort shapes. Select a plane shape that belongs inside the overlap region of the diagram.
Answer:
c
Step-by-step explanation:
48 boxes are loaded onto a truck. The still need to load 96% of the boxes onto the truck. What is the total number of boxes being loaded
Answer:
the total number of boxes being loaded is 1,200 trucks
Step-by-step explanation:
Given that
There are 48 boxes that should be loaded onto a truck
And, still it is required to lead 96% of the boxes onto the truck
We need to find out the total number of boxes that should be loaded
So
Since 48 boxes represent the 4% of the boxes that are loaded
So,
The total number of boxes would be
= 48 × 100 ÷ 0.04
= 1,200 trucks
Hence, the total number of boxes being loaded is 1,200 trucks
20 points! It's urgent! Pls help me its due in 5 minutes!!!
Answer:
A, f = 4
Step-by-step explanation:
f + 8 ≤ 12
-8 -8
f ≤ 4
Answer:
The answer is 4
Step-by-step explanation:
this is because the line under the greater than symbol can also mean equal since it has a line under it 8 + 4 = 12 = 12
1/5(15+10k)
PLSSSSSSSSSS
Answer:
10k+15/5
Step-by-step explanation:
Can someone help me out real quick?
Answer:
It would be:
[tex]2.11 \times {10}^{8} [/tex]
Step-by-step explanation:
You just subtract the regular numbers so 4.31-2.2 and keep the same scientific notation.
The line 3x-8y=k cuts the x-axis and y- axis at the point A and B respectively. If the area of ∆AOB =12sq.units, find the value of k.
Given:
The equation is:
[tex]3x-8y=k[/tex]
It cuts the x-axis and y- axis at the point A and B respectively.
The area of ∆AOB =12 sq.units.
To find:
The value of k.
Solution:
We have,
[tex]3x-8y=k[/tex]
Substituting [tex]x=0[/tex] to find the y-intercept.
[tex]3(0)-8y=k[/tex]
[tex]0-8y=k[/tex]
[tex]y=\dfrac{k}{-8}[/tex]
[tex]y=-\dfrac{k}{8}[/tex]
Substituting [tex]y=0[/tex] to find the x-intercept.
[tex]3x-8(0)=k[/tex]
[tex]3x-0=k[/tex]
[tex]x=\dfrac{k}{3}[/tex]
Area of a triangle is:
[tex]A=\dfrac{1}{2}\times base\times height[/tex]
The height of the ∆AOB is [tex]OB=\dfrac{k}{8}[/tex] because distance cannot be negative and the base of the ∆AOB is [tex]OA=\dfrac{k}{3}[/tex]. So, the area of the ∆AOB is:
[tex]A=\dfrac{1}{2}\times \dfrac{k}{8}\times \dfrac{k}{3}[/tex]
[tex]A=\dfrac{k^2}{48}[/tex]
It is given that, the area of ∆AOB = 12 sq.units.
[tex]\dfrac{k^2}{48}=12[/tex]
[tex]k^2=576[/tex]
[tex]k=\pm \sqrt{576}[/tex]
[tex]k=\pm 24[/tex]
Therefore, the value of k is either 24 or -24.
If there are 23 students in your class, and your teacher is pulling random names from a hat, what is the probability that your name will be pulled on the third pull?
3/21
3/23
1/23
1/21
If the teacher isn't putting the names back in the hat then it would be 1/21 if she is then 1/23
What is the area of a
circle that has a radius of 4
inches? (Use 3.14 for pi.)
HELP ASAP
Answer:A≈50.27in²
Step-by-step explanation: