Step-by-step explanation: First, we need to solve this inequality.
When you're asked to solve an inequality like -3x > 18, your goal should be the same as it was when solving equations, to get x by itself on one side.
In this problem since x is being multiplied by -3 on the left side of the inequality, to get x by itself, we divide both sides by -3 but here is the rule you have to watch out for when solving inequalities.
When you divide both sides of an inequality by a negative number, you must switch the direction of the inequality sign. So this greater than in our original problem becomes less than in our second step.
On the left side, the -3's cancel and we're left with
x and on the right side, 18 divided by -3 is -6.
So we have x < -6.
Now, we are asked to state some solutions to the inequality.
The inequality x < -6 means that any number
less than -6 is a solution to the inequality.
For example, -7 is a solution because -7 is less than -6.
-8 is also a solution because -8 is less than -6.
Other possible solutions include -23, -98, -982, and so on.
Any number less than -6 will be a solution.
Each parking spot is 8 feet wide. A parking lot has 24 parking spots side by side. What is the width (measured in yards) of the parking lot?
Answer: 64 yards I think
Step-by-step explanation:
Answer: If it's just 8 feet wide, 64 yards, if 8 and 1/2, 68 yards.
Step-by-step explanation:
Which of the following are mathematical sentences?
Check all that apply.
Answer:
A, B, C, F
Step-by-step explanation:
they need to include an = sign
Answer:
Now you know the answer from my explanation.
Step-by-step explanation:
The one which is not a mathematical statement is that which does not evaluate to anything.. Doesn't have the equal to sign
sum of exterior angle triangle is 360°
Answer:
True
Step-by-step explanation:
The exterior angles of a triangle are the angles that form a linear pair with the interior angles by extending the sides of a triangle. The sum of the exterior angles of a triangle and any polygon is 360 degrees.
(Google) ( don’t copy and paste for your work, change it up a little!) hope this helped!
Find AB
Round to the nearest tenth.
Answer:4.1
Step-by-step explanation:
c=AB
C=26°
B=122°
b=8
Using sine rule
c/sinC = b/sinB
c/sin26=8/sin122
Sin26=0.4384
Sin122=0.8480
c/0.4384=8/0.8480
Cross multiply
c x 0.8480=8 x 0.4384
c x 0.8480=3.5072
Divide both sides by 0.8480
(c x 0.8480)/0.8480=3.5072/0.8480
c=4.1
find the value of x. Round the length to the nearest meter
Answer:
we need a picture to help
If a = -9 and b = -4, what is the value of a + b ?
-5
5
-13
13
Answer: -13
Step-by-step explanation:
-9 plus -4 equals -13
Answer:-13 I just know.
Step-by-step explanation:
determine which equation below has a solution of x= 1/2
Answer:2x-1=0
Step-by-step explanation:
x=1/2
Cross multiply
2x=1
Subtract 1 from both sides
2x-1=1-1
2x-1=0
The equation below has a solution of x= 1/2 will be 2x-1=0.Option A is correct.
What is the equation?A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.
Given expression;
x=1/2
2x=1
Take 1 away from both sides.
2x-1=1-1
2x-1=0
The equation below has a solution of x= 1/2 will be 2x-1=0.
Hence, option A is correct.
To learn more, about equations, refer;
https://brainly.com/question/10413253
#SPJ2
After a special medicine is introduced into a petri dish full of bacteria, the number of bacteria remaining in the dish decreases rapidly. The relationship between the elapsed time,t, in seconds, and the number of bacteria, B(t), in the petri dish is modeled by the following function:
B(t)=9,300•(1/64)^t
Complete the following about the rate of change of the bacterial culture. Round your answer to two decimal places.
The bacterial culture loses 1/2 of its size every _________ seconds.
Answer:
0.17
Step-by-step explanation:
The function can be rewritten as ...
B(t) = 9300·((1/2)^6)^t = 9300·(1/2)^(6t)
In order to multiply the number of bacteria by 1/2, the value of the exponent 6t must be equal to 1:
6t = 1
t = 1/6 ≈ 0.166667 ≈ 0.17
The culture loses half its size every 0.17 seconds.
.17
Step-by-step explanation:
Three cube-shaped boxes are stacked one above the other. The volumes of two of the boxes are 1,331 cubic meters each, and the volume of the third box is 729 cubic meters. What is the height of the stacked boxes in meters?
A.
19
B.
29
C.
30
D.
31
Answer:
D. 31
Step-by-step explanation:
The edge dimension of a cube is the cube root of the volume. For the two boxes that are 1331 m³, the height is ...
∛(1331 m³) = 11 m
For the box that is 729 m³, the height is ...
∛(729 m³) = 9 m
Then the total height of the stack of boxes is ...
11 m + 11 m + 9 m = 31 m
Answer:
31
Step-by-step explanation:
I took the test on Edmentum, have a good day hope it helps :)
Please help asap! Will give brainliest! Please read the question then answer correctly! No guessing.
Answer: A. (0,a)
[tex]f(x) = a \cdot b^x[/tex]
[tex]f(0) = a \cdot b^0 = a \cdot 1 = a[/tex]
Answer:
I think it's B, but I don't really know how to explain it. Please rate this answer 5 stars if it is correct.
Step-by-step explanation:
According to the Rational Root Theorem, Negative seven-eighths is a potential rational root of which function?
Answer:
f(x)=24x^7+3x^6+4x^3-x-28
Step-by-step explanation:
ABC is a right-angled triangle. Calculate the length of AB. Give your answer correct to 2 decimal places.
Diagram is there too as I couldn't fit the question in.
Answer:
10.83
Step-by-step explanation:
The length of AB to 3 decimal places is 10.83 cm
The given figure is a right triangle
From the triangle, we are given the following parameters
AC = 18cm
m<C = 38 degrees
we need to get the length of AB
Using the SOH CAH TOA identity
[tex]sin \theta = \frac{opposite}{hypotenuse} \\sin 37 = \frac{AB}{18}\\AB = 18 sin37\\AB =18(0.6018)\\AB =10.832cm[/tex]
Hence the length of AB to 3 decimal places is 10.83 cm
Learn more here: https://brainly.com/question/19286106
A calzone is divided into 24 equal pieces. Sophie and Glenn each ate one-fourth
of the calzone on Saturday. The next day, Glenn ate one-sixth
of the calzone that was leftover. How many of the pieces of the original calzone remain? Explain your reasoning.
Answer:
10 pieces
Step-by-step explanation:
Total no. of pieces of calzone = 24
No of pieces of calzone eaten by sophie = 1/4 of Total no. of pieces of calzone = 1/4 of 24 = (1/4)*24= 6 pieces.
No of pieces of calzone eaten by Glenn = 1/4 of Total no. of pieces of calzone = 1/4 of 24 = (1/4)*24= 6 pieces.
Total no of pieces eaten by both of them on saturday = 12.
No of pieces of calzone left = 24-12 = 12
_______________________________________________
No of pieces of calzone eaten by Glenn on next day = 1/6 of Total no. of pieces of calzone left= 1/6 of 12 = (1/6)*12= 2 pieces
No of pieces of calzone left now after Glenn ate 2 of them = 12-2 = 10.
Thus 10 pieces of original calzone are left .
Find the missing dimension of the cylinder. Round your answer to the nearest whole number.
Please help!
Answer:
4 in to the nearest whole number.
Step-by-step explanation:
Volume of a cylinder = π r^2 h
Here Volume = 25 in^3 and r = 1/2 * 3 = 1.5 in.
So: 25 = π * 1.5^2 * h
25 = 2.25π h
h = 25 / 2.25π
h = 3.54 in
simplify using order of operations
17-5⋅(3-4)+(-8)⋅(-3)
Answer:
46
Step-by-step explanation:
17−5(3−4)+(−8)(−3)
=17−(5)(−1)+(−8)(−3)
=17−(−5)+(−8)(−3)
=22+(−8)(−3)
=22+24
=46
Write an equation of the line that passes through (-5,3) and is parallel to the line y=-x+3
Answer:
y = -x - 2
Step-by-step explanation:
Note that the given line, y=-x+3, has a slope of -1. Any new line parallel to this one must also have that slope, -1:
y=-x+3 becomes 3 = -(-5) + C, where C is the y-intercept:
3 = 5 + C, or C = -2
Thus, the desired equation of this new line is y = -x - 2
3) Write an equation of a circle satisfying the following conditions:
Center: (-2,5)
Radius: 23
a) (x - 2)2 + (v + 5)= 12
b) (x + 2)2 + (y – 5)2 = 12
c) (x - 2)2 + (y + 5)= 144
d) (x + 2)2 + (-5) = 154
Answer:
Ok :] ummmm report me i'm no help.
Step-by-step explanation:
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The table represents a function.
What is f(5)?
o-8
х
—4
-1
3
5
f(x)
-2
5
4
-8
ооо
1
Answer:
f(5) = -8
Step-by-step explanation:
x -4 -1 3 5
f(x) -2 5 4 -8
f(5) is the value of f(x) when x = 5
f(5) = -8
Answer:
A) -8
Step-by-step explanation:
The person above me is correct because f(5) is the value of f(x), x=5. So f(5) = -8.
What is the height?
4m
3m
2m
find area
Answer:
I think the area is 24
Step-by-step explanation:
write it as a product: -[tex]ax^{6}[/tex]+[tex]\frac{1}{8}[/tex]
Answer:
[tex]\frac{-abx^{6}+1 }{b}[/tex]
Step-by-step explanation:
Does the point (-4,-14) lie on the line
y = 2x - 6?
Answer:
Substitute the coordinate of point into line equation, we have:
2 x (-4) - 6 = -14
=> The point lies on the line
Hope this helps!
:)
Question
A coin has a radius of 10 mm. How long will it take the coin to roll through the given angle measure at the
given angular velocity? How far will it travel in that time? Round to the nearest tenth.
360°;8 rev/sec
The coin will take
sec to roll 360° and travels approximately
mm.
Answer:
Time taken is 0.897 sec and distance traveled is 56.36 mm
Step-by-step explanation:
It is given radius of the coin r = 10 mm
Angle measure [tex]\theta =360^{\circ}[/tex]
In radian it will be equal to
[tex]\theta =360^{\circ}\times \frac{\pi }{180}[/tex]
[tex]=2\pi =6.28radian[/tex]
Angular velocity = 78 rev/sec
It is known that [tex]\theta =\alpha t[/tex]
Therefore [tex]6.28=7\times t[/tex]
t = 0.897 sec
Now distance traveled will be equal to
[tex]d=2\pi r\times t[/tex]
[tex]=20\times 3.14\times 0.897[/tex]
[tex]=56.36mm[/tex]
Therefore time taken is 0.897 sec and distance traveled is 56.36 mm
Easy 5th grade math help me :>
Answer:
52
Step-by-step explanation:
Answer:
it is 52
Step-by-step explanation:
each number been add 4
32+4=36
36+4=40
40+4=44
44+4=48
48+4=52
find the area of the attached image below. PLEASE HELP ASAP!
Answer:I think 15
Step-by-step explanation:
A group of students were surveyed to find out if they like watching television or reading during their free time. The results of the survey are shown below:
90 students like watching television
20 students like watching television but do not like reading
80 students like reading
40 students do not like watching television
Make a two-way table to represent the data and use the table to answer the following questions.
Part A: What percentage of the total students surveyed like both watching television and reading? Show your work. (5 points)
Part B: What is the probability that a student who does not like watching television also does not like reading? Explain your answer. (5 points)
Answer:
Part A = 73.91%
Part B = 1/2 probability
Step-by-step explanation:
Part A - 90 + 20 + 80 + 40 = 230(total students)
90 + 80 = 170 students who like tv and reading
170/230 × 100 = 73.91%
Part B - 20(no read)/40(no tv) = 1/2 probability
david has to sell 778 chocolate bars to win a trip if each box contains 18 chocolate bars how many boxes will he need to sell to win the trip
Answer:
44 boxes
Step-by-step explanation:
778/18 = 43.222
round up cause you cant sell 2/10 of a box
A car travel 65kms from A to B in 70 minutes and 80 km from B to C in 75 minutes.
Find the average speed in km/h of the car for the whole journey?
Answer:
60 km/h
Step-by-step explanation:
The car has traveled a total distance of 65+80 = 145 km in 70+75 = 145 minutes. Then the average speed is ...
speed = distance/time = (145 km)/(145 min)·(60 min/h) = 60 km/h
The average speed for the journey is 60 km/h.
The GCF of 18 and 30 is
Answer: 6
Step-by-step explanation:
Answer:
The answer is 6, 6 is the GCF
Step-by-step explanation:
6 is the the Greatest Common Factor (GCF) because 6 can go into both numbers 18 and 30 evenly, 6 can multiply with 3 for the product to be 18 and 6 can multiply with 6 for the product to be 30. I hope this help. : )
The area of a round table in Kim’s living room is 201 square inches. What is the circumference of the round table, to the nearest hundredth of an inch? A.100.49 inchesC.50.24 inchesB.89.03 inchesD.25.12 inches
Answer:
C. 50.24 inches
Step-by-step explanation:
The area of a circle can be represented by [tex]\pi r^{2}[/tex]. To find the circumference, all we need to do is know the radius, and then we can plug that value into the circumference formula [tex]2\pi r[/tex]. So, to find the radius we see that:
[tex]\pi r^{2} = 201[/tex]
[tex]r = \sqrt{\frac{201}{\pi } }[/tex]
So, the circumference is:
[tex]2\pi (\sqrt{\frac{201}{\pi } })[/tex], which is closest to the answer C) 50.24 inches.
Hope this helped! :)
12. Karen needs to spend at least $100 at a clothing store in order to receive 20% off her total purchase. So far she has spent $78 and she wants to spend the rest on new pairs of socks that cost $5.50 each. Write and solve an inequality to determine n, the number of socks Karen needs to buy in order to receive 20% off her total purchase.
Pick the Answer In the picture
Answer:
The answer would be the first one.
Step-by-step explanation:
5.50 x n which n=4 so its actually 5.50 x 4 which equals 22 then you add the 22 to the 78 to get the result of exactly 100 dollars.
