Answer: Read below.
Step-by-step explanation:
[tex]3x+17<47\\-6x+9<25[/tex]
Let's take the first one.
[tex]3x+17<47[/tex]
Subtract 17
[tex]3x<47-17\\3x<30[/tex]
Divide by 3
[tex]x<\frac{30}{3}\\ x<10[/tex]
---------------------------------------------------------------------------------------------
Now the second one.
[tex]-6x+9<25\\-6x<25-9\\-6x<16[/tex]
Here's the trick. You need to divide by -6; however, there's a rule. When you multiply or divide by negative numbers, the inequality sign flips.
[tex]x>\frac{16}{-6}[/tex]
[tex]x>-\frac{8}{3}[/tex]
---------------------------------------------------------------------------------------------
x has to be less than 10
x has to be greater than [tex]-\frac{8}{3}[/tex] or -2.66 approximately.
in the number line, make a hollow circle on [tex]-\frac{8}{3}[/tex] and draw an arrow up to [tex]10[/tex] where, again, you have to make a hollow circle. The circles have to be hollow because neither [tex]-\frac{8}{3}[/tex] nor 10 are part of the answers.
Help Plz!
Raj builds a side table in the shape of a cube. Each edge of the cube measures 30 inches. Raj wants to cover the top and four sides of the table with ceramic tiles. Each tile has an edge length of 3 inches. How many tiles will he need?
Answer:
10 for each side so 40 tiles
Step-by-step explanation:
Bhavik bought 3 liters of milk and 5 loaves of bread for a total of $11. A month later, he bought 4 liters of milk
and 4 loaves of bread at the same prices, for a total of $10.
How much does a liter of milk cost, and how much does a loaf of bread cost?
Aliter of milk costs $
and a loaf of bread costs $
Answer:
Step-by-step explanation:
A liter of milk cost $.75
A loaf of bread cost $1.75
Answer:
Step-by-step explanation:
Cost of milk = $ m
Cost of bread = $ b
3m + 5b = 11 ------------------(I)
4m + 4b = 10 ----------------(II)
Multiply equation (I) by 4 and multiply equation (II) by (-3). Thus when you add, m will be eliminated and we can find the value of b
(I)*4 12m + 20b = 44
(II)*(-3) -12m - 12b = -30 {Now add & m will be eliminated}
8b = 14
b = 14/8
b = $ 1.75
Cost of a loaf of bread = $ 1.75
Plugin the value of b in equation (I)
3m + 5*1.75 = 11
3m + 8.75 = 11
3m = 11 - 8.75
3m = 2.25
m = 2.25/3
m = $ 0.75
Cost of one liter of milk = $ 0.75
help me please, I really need it
Answer:
A OR C
Step-by-step explanation: I think it is A because in the question it says y=3
then y=ax²+b and on the A) it says a= -2 and b=2 OR the answer might be C) because it says ax² and a=2
im sorry if both of these are wrong and im sorry if you don't understand what i mean but i hope i helped you . :)
A jar contained 6 red marbles, 10 green marbles, and 8 blue marbles. A marble was selected at random, the color was recorded, and the marble was placed back in the jar. The table shows the results after 60 trials.
What was the relative frequency of selecting a red marble?
Enter your answer in the box to the nearest percent.
Answer:
Step-by-step explanation:
22 percent
22% is the approximate percentage of the relative frequency.
What is relative frequency?Relative frequency is the ratio between the absolute frequency (how many repetitions have a specific outcome) and the total outcomes. Also, this type of frequency is used to show the representation that some data have over the whole distribution.
So, in this case, we need to just divide 13, which belongs to red marble's results, to 60 which is the total outcomes, as it's presented:
P = Red marbles / total marbles = 13/60 = 0.22
Normally, relative frequency is shown as a percentage multiplying this result by 100.
Therefore, 22% is the approximate percentage of the relative frequency, which means that 22% is the representation of red marbles outcomes of the whole distribution, or we can say it as a probability: there's 22% of chances when someone extract a marble, it will be red.
Hence 22% is the approximate percentage of the relative frequency.
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The graph of g(x) = |x – h| + k is shown on the coordinate grid. What must be true about the signs of h and k?
Both h and k must be positive.
Both h and k must be negative.
h must be positive and k must be negative.
h must be negative and k must be positiv
Answer:
D
Step-by-step explanation:
If the graph is shown on the grid then k must be positive and h must be negative.
What is function?A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.
In this case we have:
The main function is:
y = f(x) = |x|
To move the graph vertically we have:
y = f(x) + k
If k> 0 , the graph moves k units up
To move the graph horizontally we have:
y = f(x+ h)
IF h > 0, the graph moves h units to the left
For this case, we want to move the graph k units up and h units counterclockwise. We have then, the following equation:
g(x) = |x – h| + k
Therefore, according to the definitions:
k > 0
h < 0
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Find the inverse of a quadratic. Find the inverse of the function y = x2 – 12.
Answer:
Step-by-step explanation:
Please use " ^ " to indicate exponentiation: y = x^2 – 12
1) Interchange x and y: x = y^2 - 12
2) Solve this result for y: y^2 = x + 12. Taking the square root of both sides, we get y = ±√[x + 12].
-1
3) Label this as the inverse function f (x) = +√[x + 12]
Note that if the inverse could take on two different values, then it is not a function. It was for this reason that I eliminated the negative root.
Note that this inverse is valid only for [-12, infinity): this is the domain
Answer:
The answer is B
Step-by-step explanation:
please help me with geometry
What type of symmetry does the figure have?
line symmetry only
rotational symmetry only
both line and rotational symmetry
none of the above
(all the three figures have the same question)
Answer:
Rectangle has both line and rotational symmetry
The Z has line symmetry
The trapezoid lookin thing has none
Rectangle has both line and rotational symmetry, the Z has line symmetry and the trapezoid has none of the symmetry.
What is Coordinate Geometry?A coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.
Lines of symmetry are mixed up with rotational symmetry.
A line of symmetry divides the shape equally into two symmetrical pieces.
A rotational symmetry is the number of times a shape fits into itself when rotated around its centre.
Rectangle has both line and rotational symmetry
The Z has line symmetry
The trapezoid has none of the symmetry.
Therefore, Rectangle has both line and rotational symmetry, the Z has line symmetry and the trapezoid has none of the symmetry.
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PLZ HELP
Derek rolls a die many times and records the number of times he rolls a three. Arrange the following situations in order from the situation that gives the largest difference between relative frequency and actual probability to the situation that gives the smallest difference.
Derek rolls the
die 10 times.
Derek rolls the
die 30 times.
Derek rolls the
die 5 times.
Derek rolls the
die 20 times.
and the answer is not
10,30,5,20
Answer:
65
Step-by-step explanation:
65=5+20+10+30
PLEAsE HELP[
simplify:
(3x^4y^4)(5x^4) / 20xy^2
Answer:
[tex]\frac{3x^6y^2}{4}[/tex]
Step-by-step explanation:
[tex]\frac{3x^6y^2}{4}[/tex]
I am so sorry that I keep asking questions, but I need help (again).
Answer:
104
Step-by-step explanation:
square:8*8=64
left triangle: 1/2*8*5=20 (same for right triangle)
total area= 64+40=104
-1 1/4 + 1/2
A)-1 3/4
B)-1 1/2
C)-3/4
D)-1/2
Answer:
Well, Your best answer will be is B. -1 1/2.
Hope That Helps!
[tex]^{Itsbrazts}[/tex]
Look at the figure. Name the postulate or theorem you can use to prove the triangles congruent.
Answer:There's the Side-Angle -Side postulate, or SAS. This states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.
Step-by-step explanation:
A paint can has a radius of 4 inches and a height of 15 inches what is the volume of a paint can? round to the nearest 10th use 3.14 for pi.
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It takes 24 electricians 36 days to wire a new housing subdivision. How many days would 32 electricians take to do the same job?
Answer: 27 days
Step-by-step explanation:
Hi, to answer this question we have to apply inverse relation:
Since it takes 24 electricians 36 days to wire a new housing subdivision, the relation is:
24 (36)
For 32 electricians:
24(36) = 32 (x)
Solving for x (days)
864 =32x
864/32 =x
x= 27 days
Feel free to ask for more if needed or if you did not understand something.
The students in art class are designing a stained-glass window to hang in the school entryway. The window will be 3 feet tall and 4 feet wide. Here is their design → They have raised $100 for the project. The colored glass costs $5 per square foot and the clear glass costs $2 per square foot. The material they need to join the pieces of glass together costs 10 cents per foot and the frame around the window costs $4 per foot. Do they have enough money to cover the cost of making the window?
Answer:
They dont have enough money
Step-by-step explanation:
Colored Glass =
$5/ 1 sq = 60 / 12 sq
Clear Glass =
2/1 = 24 / 12
Materials =
.1/ 1= 1.2 / 12
Frame=
$4 / 1 ft = 28 / 12
ADD THE TOTALS
60+24+1.2+28 = 113.2
Students do not have enough money to cover the cost of making the window.
Given that, the window will be 3 feet tall and 4 feet wide.
What is the area of a rectangle?The area occupied by a rectangle within its boundary is called the area of the rectangle. The formula to find the area of a rectangle is Area = Length × Breadth.
Area of a rectangle =3×4
= 12 square feet
Now, the total cost = 5+2+0.10+4
= $11.1
The cost per 12 square feet area
= 12×11.1
= $133.2
Therefore, students do not have enough money to cover the cost of making the window.
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Can someone help me with this? Thanks! :))
Answer: 12.25
Step-by-step explanation: DO I get brainliest?
There r 4 equal sides to a square. 49÷4=12.25
12 1/4
Which are the solutions of the quadratic equation?
x2 = -5x - 3
-5,0
-5 = V13, -5 + /15
5 - 13
2
5 + 13
2
5,0
The solution to the system of equation is [tex]x=\frac{-5\pm \sqrt{13)}}{2}\[/tex]
The Solution to a quadratic equationGiven the quadratic expression
x^2 = -5x - 3
Equate to zero
x^2+5x+3 = 0
Using the general formula will give:
[tex]x=\frac{-5\pm \sqrt{25-4(1)(3)}}{2}\\ x=\frac{-5\pm \sqrt{13)}}{2}\\[/tex]
Hence the solution to the system of equation is [tex]x=\frac{-5\pm \sqrt{13)}}{2}\[/tex]
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Simplify the expression.
[tex]\sqrt \frac{40}{48}[/tex]
Answer:
Exact Form:
√ 30/6
Decimal Form:
0.91287092
Hope this helps!!!
Use the image below to solve for the missing angles (round to the nearest tenth)
I need angle A,B, and C please, don’t forget to round to the nearest tenth
Answer:
456
Step-by-step explanation:
Please I need help with this assignment I been struggling with it and need help and is due at 7:40 pm so please help me and I try my best and nothing works
Answer:
A(3,3) S(4,0) T(5,4) J(4,5)
Step-by-step explanation:
Hope this one helped too! You just need to find the x=1 line (goes in this direction --, is where x is constantly 1) and count how far each point is from it and go over the line that amount if that makes sense. The x's stay the same in this one and the y's change.
Answer:
A(3,3) S(4,0) T(5,4) J(4,5)
Step-by-step explanation:
How much is 7 x 2/3
Plz help
Answer:
4.6
Step-by-step explanation:
7×2/3
14/3
=4.6
so 7×2/3 is 4.6
If two angles are complementary and one measures 36°, what is the measure of the other angle?
Answer: 54°
Step-by-step explanation: If two angles are complementary, then the sum of their measures is 90 degrees.
If the measure of an angle is 36°, then
the measure of its complement is 54°.
We can find the measure of its complement by taking 90 minus the measure of the original angle which in this case is 90 - 36 or 54°.
What starts with a C ends with a W and is an animal?
Answer:
Mmmm let me think.mmmm oh a coW Moo
Answer:
Cow
Step-by-step explanation:
Why is this in Math questions?
solve for x 5 (x-4)= 4 (x+2)
Answer: X=28
Step-by-step explanation:
Eden combines 2/8 cups blueberries 5/8 cup raspberry and 3/8 cup strawberries in her mixed fruit topping she puts 1/4 cups of that mixed fruit topping on each fruit topping on each bowl on how many oatmeal bowls can she put fruit topping
Answer:
5 bowls
Step-by-step explanation:
[tex]\frac{2}{8}[/tex] + [tex]\frac{5}{8}[/tex] + [tex]\frac{3}{8}[/tex] = [tex]\frac{10}{8}[/tex]
Change denominator to 4 by dividing both numerator and denominator by 2.
[tex]\frac{10/2}{8/2}[/tex] = [tex]\frac{5}{4}[/tex]
Each serving is [tex]\frac{1}{4}[/tex] cups, and the mix is [tex]\frac{5}{4}[/tex] cups, so Eden can have 5 bowls of oatmeal.
What is the value of x?
to
Enter your answer in the box.
X=?
Answer:
21
Step-by-step explanation:
We need to utilise one important angle in order to answer this question which is
→ Angles in a triangle add up to 180°
Using this information we can set up an equation to find the value of x
⇒ Form equation using the important angle fact
→ x - 4 + 3x + 100 = 180
⇒ Simplify the 'x' and the numerical terms
→ 4x + 96 = 180
⇒ Minus 96 from both sides to isolate 4x
→ 4x = 84
⇒ Divide both sides by 4 to isolate x
→ x = 21
The value of x is 21
Which of the following is the correct factorization of the polynomial below?
2p^2 - 11pq + 24q^2
Answer:
The polynomial is irreducible
Step-by-step explanation:
Answer the question please
Answer:
c
Step-by-step explanation:
When some weight is removed, the spring goes up q units
length after removing the weight = p - q = p + (-q)
Find the volume of the prism.
Answer:
C = 210cm^3
Step-by-step explanation:
We can get an estamate when we use the equation L x H x W = x/2
This shows 8 x 8 x 7, then divide by 2 = 224cm^3
The reason it is slightly less could be the facts the teachers want you to remember this one.
For right side prism the equation is (1/2)b x h x H
which means;
The volume of a triangular prism can be found by multiplying the base times the height. Both of the pictures of the Triangular prisms below illustrate the same formula. The formula, in general, is the area of the base (the red triangle in the picture on the right) times the height,h.
We use the side and base that surrounds the right side as (1/2)base and as side to find area then use the H as the height being the 7.
Answer:
D. 168 units^3
Step-by-step explanation:
volume of prism = (area of base) * (height of prism)
The height of the prism is the distance between the triangular bases, and is 7 units.
The base of the prism is a triangle with base 6 units and height 8 units.
area of triangle = base * height / 2 = 6 * 8/2 = 24 square units
volume of prism = (area of base) * (height of prism)
volume of prism = (24 square units) * (7 units)
volume of prism = 168 cubic units
jessica is participating in a half marathon which is about 13 miles considering 1 mile is equal to 5280 feet how many feet is jessica running in the half marathon
Answer:
68,640 feet
Step-by-step explanation:
Answer:
Times 13 by 5280 which should give you 68,640
Step-by-step explanation: