The solution to the inequality equations are Option A, Option C, Option E.
The ordered pairs are ( 37 , 18 ) , ( 22 , 38 ) and ( 13 , 51 )
What is an Inequality Equation?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality equation be represented as A
Now , the value of A is
Let the number of sweatshirt = s
Let the number of towels be = t
Let the cost of one sweatshirt = $ 20.00
Let the cost of one towel = $ 15.00
The Coach asked the team to raise at least $1000
So , the value of 20s + 15t ≥ 1000
Now , substituting the values for s and t in the equation , we get
a)
The ordered pair to the solution of equation ( s , t ) = ( 37 , 18 )
So , 20s + 15t ≥ 1000 be equation (1)
Substituting the values for s and t in the equation , we get
20 ( 37 ) + 15 ( 18 ) ≥ 1000
740 + 270 ≥ 1000
1010 ≥ 1000
So , the inequality equation satisfies
b)
The ordered pair to the solution of equation ( s , t ) = ( 41 , 11 )
So , 20s + 15t ≥ 1000 be equation (1)
Substituting the values for s and t in the equation , we get
20 ( 41 ) + 15 ( 11 ) ≥ 1000
820 + 165 ≥ 1000
985 < 1000
So , the inequality equation does not satisfies
c)
The ordered pair to the solution of equation ( s , t ) = ( 22 , 38 )
So , 20s + 15t ≥ 1000 be equation (1)
Substituting the values for s and t in the equation , we get
20 ( 22 ) + 15 ( 38 ) ≥ 1000
440 + 570 ≥ 1000
1010 ≥ 1000
So , the inequality equation satisfies
d)
The ordered pair to the solution of equation ( s , t ) = ( 8 , 55 )
So , 20s + 15t ≥ 1000 be equation (1)
Substituting the values for s and t in the equation , we get
20 ( 8 ) + 15 ( 55 ) ≥ 1000
160 + 825 ≥ 1000
985 < 1000
So , the inequality equation does not satisfies
e)
The ordered pair to the solution of equation ( s , t ) = ( 13 , 51 )
So , 20s + 15t ≥ 1000 be equation (1)
Substituting the values for s and t in the equation , we get
20 ( 13 ) + 15 ( 51 ) ≥ 1000
260 + 765 ≥ 1000
1025 ≥ 1000
So , the inequality equation satisfies
Hence , the inequality equations are solved
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Plz help me 3(x + 1) = 5 + x
Answer:1
Step-by-step explanation:distribute 3 through the parentheses, move variable to the left hand side and change it’s sign, move constant to the right hand side and change its sign , collect like terms , subtract the numbers and then divide .
Given: P∈ BC , Pabc = 45, Pabp = 30, Papc = 35. Find AP.
Answer:
10
Step-by-step explanation:
Pabp = AB +BP +AP
Papc = AP +PC +CA
So the sum of perimeters of the two smaller triangles is ...
Pabp +Papc = AB +BP +AP + AP +PC +CA
= (AB +BP +PC +CA) +2AP
= Pabc +2AP
Filling in numbers, we have ...
30 +35 = 45 +2AP
20 = 2AP . . . . subtract 45
10 = AP . . . . . . divide by 2
The length of AP is 10 units.
There were 3 bands that
performed at the talent show.
What percent of the 16 group acts
were band performances?
Answer:
18.75%
Step-by-step explanation:
(round answer if needed)
Answer: 18.75%
Step-by-step explanation:
divide 100 by 16
100/16=6.25
6.25x3=18.75
Write an ordered pair for each point graphed below.
Answer:
[tex]\boxed{(-1,4)}[/tex]
Step-by-step explanation:
The point is located in Quadrant II of the graph, where x-values are negative and y-values are positive.
Each marking on the graph represents one unit of distance. The two axes meet at the origin, where the coordinate point is equal to [tex](0,0)[/tex].
So, you can count backwards once from the origin to get your x-value ⇒ [tex]-1[/tex] and count up upwards four times from [tex]x=-1[/tex] to get your y-value ⇒ [tex]4[/tex].
Finally, place these in a coordinate point [tex](x,y)[/tex] ⇒ [tex]\boxed{(-1,4)}[/tex].
Answer:
(-1, 4)
Step-by-step explanation:
The point lies on the line x = -1.
The point lies on the line y = 4.
Where both lines intersect, that is the coordinate.
(x, y)
(-1, 4)
30 points high school geometry question
Answer:
x = 5
Step-by-step explanation:
9/15 = 3/x
x = 5
X would equal 5
I did this test in high school. smh
The table below shows the heights of several books. Jean stacks a dictionary on top of her novel. How high is the stack of two books?
Answer:
pretty tall
Step-by-step explanation:
Function f is given by the table of values shown.
x|0|1|2|3
f(x)|7|0|-5|-8
If function fis reflected across the x-axis to obtain function g, complete the table of values which represents function g.
Answer:
x | 0 | 1 | 2 | 3
f(x) | - 7 | 0 | 5 | 8
Step-by-step explanation:
When you reflect a point say across the x-axis, the x-coordinate remains the same, but the y-coordinate is transformed into its opposite (its sign is changed). Therefore if the function f( x ) is reflected across the x - axis, it's new function would be y = - f( x ). This new function is function g, so you can also say y = - g( x ).
Given the following table ...
x | 0 | 1 | 2 | 3
f(x) | 7 | 0 | - 5 | - 8 ... we can keep the x - values constant, but take the opposite of each y - value, or " f( x ). " Doing so the new table should be the following -
x | 0 | 1 | 2 | 3
f(x) | - 7 | 0 | 5 | 8 ... note that 0 remains constant as you can't take it's opposite, it remains zero. Therefore, the function g is represented by the above table.
The values of g(x) are as follows:
x | 0 | 1 | 2 | 3
g(x) | -7 | 0 | 5 | 8
What is a Function?A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable).
As per the given data:
We are given a function f(x) and a table where the values of f(x) at different values of x is given.
The table for the values is as follows:
x | 0 | 1 | 2 | 3
f(x) | 7 | 0 |-5 | -8
We have to find the values for the function g(x) which is obtained when f(x) is reflected about the x-axis.
When any function is reflected about the x-axis, the values of the y-axis will have their signs changed, i.e. the y-axis values will become -ve if they are positive and +ve if they are -ve.
For g(x):
x | 0 | 1 | 2 | 3
g(x) | -7 | 0 | 5 | 8
Hence, the values of g(x) are as follows:
x | 0 | 1 | 2 | 3
g(x) | -7 | 0 | 5 | 8
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Which method correctly solves the equation using the multiplication property of equality and the reciprocal of One-third?
Answer: -third
Step-by-step explanation:
How is everyone doing today? Here is a problem for the day! Problem - 10 + 8 x 119
Answer:
..
-10 + 8× 119
= -10 + 952
= 942. .....
Answer:
236 (i think)
Step-by-step explanation:
cuz 0-10= -10+8= -2 X 119=236 (sorry if you cant read this my keyboard sucks
Which expression can you simplify by combining like terms?
CLEAR CHECK
12b2+4ab−3ba−6
17a2−6b2a+4ba−9
5b2−5a2+8a−b
14a2+6ab−3b−3a
How many solution does this following equation have? -7x-10-15x=-22x+83 A. No solution B. Exact 1 solution C. Infinite solution
Answer:
A. No Solution
Step-by-step explanation:
To solve for x we would just simplify the equation so it is easier to work with. First we will combine the -7x and the -15x and when you combine then you will get -22x so the equation will look like this [tex]-22x-10=-22x+83[/tex] now we would add 22x to both sides and our equation will be [tex]-10=83[/tex] and that is not correct so the answer would be A. No solution
Answer:
A. No solution
Step-by-step explanation:
-7x - 10 - 15x = -22x + 83
-22x - 10 = -22x + 83
0 = 93
Zero doesn't equal to 93, so there are no solutions.
Micah is handing out miniature chocolate bars and butterscotch hard candies for Halloween. He wants tohave a total of 7 pounds of candy, but he doesn't want to spend more than $11.00 total on the candy. If miniature chocolate bars costs $1.80 per pound, and butterscotch hard candies costs $1.00 per pound, how many pounds of each type of candy should he buy?
Answer:
5 pounds of miniature chocolate and 2 butterscotch hard candies
Step-by-step explanation:
5 x $1.80 =$9 for 5 pounds of candy
2 x $1.00 =$2 for 2 pounds of candy
2 + 5 =7 pounds
7 pounds of candy using $11.00
f(x) = 3x + 21; solve for f(3) and f(7)
Answer:
Step-by-step explanation:
Given that f(x) = 3x + 21
Plug in 3 for x
F(3)= 3(3) +21
F(3) = 9+21
f(3) = 30
Plug in 7 for x
F(7)= 3(7) +21
F(7) = 21+21
f(7) = 42
Select the decimal that is greater than 1/3 and smaller than 1/2. A 0.299 B 0.300 c. 0.415 d 0.501
Answer:
C, 0.415
Step-by-step explanation:
Convert the fractions to decimals:
1/3 = 0.3333333...
1/2 = 0.5
So the decimal must be greater than 0.3333333... and smaller than 0.5,
from the options,
only 0.415 matches with the requirements.
Answer:
c.415
Step-by-step explanation:
1/3 = 0.333333...
1=2 = 0.5
Therefore the "c option - 0.415" as it is greater than 1/3 and lesser than 1/2
Hope ths helps....
Pls mark my ans as brainliest :)
PLS PLS PLS
I want to rank up....
Dat y pls mark my ans as brainliiest :)
If f(x)= 2x2 + 3, then f(x - 1)=2x2 + 4x + 5.
True
False
Answer:
[tex]\boxed{\mathrm{True}}[/tex]
Step-by-step explanation:
[tex]f(x) = 2x^2+3[/tex]
Put x = x -1
[tex]f(x-1) = 2(x-1)^2+3\\f(x-1) = 2(x^2-2x+1)+3\\f(x-1) = 2x^2-4x+2+3\\f(x-1) = 2x^2-4x+5[/tex]
So, it is true.
Answer:
True
Step-by-step explanation:
A. Plot the data for the functions f(x) and g(x) on a grid (SHOWN ABOVE)
B. Identify each function as a linear, quadratic, or exponential, and uses complete sentences to explain your choices.
C. Describe what happens to the function values in each function as x increases from left to right.
D. At what value(a) of x are the function values equal? If you cannot give exact values for x, give estimates.
Pls help xDDDDD thx!
Answer:
-25
Step-by-step explanation:
Graph the image of this figure after a dilation with a scale factor of 2 centered at the origin.
Use the polygon tool to graph the dilated figure.
Answer:
(2,4), (6,4), (2,-2), (6,-2)
Step-by-step explanation:
To dilate a figure multiply 2(x,y)
2(1,2) = (2,4)
2(3,2) = (6,4)
2(1,-1) = (2,-2)
2(3,-1) = (6,-2)
Hope this helps! Ξ
Please Help the question is below!!!
Answer:
A is right its acute angle
Step-by-step explanation:
because supplementary is 180
therefore A +B = 180
since we know A
B = 180- A
B = 73
which is an acute angle as its less than 90
pls mark me brainliest pls
Answer:
Step-by-step explanation:
(a) Acute
A=107 deg
B=?
given A+B=180
=> B=180-A
= 180-107
= 73
SO, B is an acute angle.
Perry has 24 coins that equal 52 cents. All the coins are pennies, p, and nickels, n. How many nickels and pennies does Perry have? Use the table to guess and check.
Answer:
7 nickels and 17 pennies
Step-by-step explanation:
7 nickels will give you an answer of 35 and if you subtract 35 from 52 that leaves you with 17. 17 is the number of pennies since it is the remainder and each penny is one cent each
Answer:
c
Step-by-step explanation:
a percent measures a rate a) per unit b)per 10 unit c) per 100 unit d) per 1000 unit
Answer:
[tex]\boxed{Option \ C}[/tex]
Step-by-step explanation:
Percentage means "out of hundred" So measuring the rate in percentage we've to find it using "per 100 units".
Answer:
c) per 100 unit
Step-by-step explanation:
a percent measures a rate:
per cent ⇒ per 100
The correct answer is option c.
Find the median of the data in the dot plot below.
WILL AWARD BRAINLIEST AND 30 PTS IF THERE IS A GOOD EXPLANATION. ANSWER IS NOT 243. question: In how many ways can we put five identical fruits into three bowls? Note that the bowls may be empty.
Answer:
243 ways
Step-by-step explanation:
Fruits = 5
Bowls = 3
Remember that, There are three bowls for five fruits. So the possible outcomes are:
=> [tex]3^5 = 3*3*3*3*3 = 243[/tex] ways
The linear combination method gives a solution of (–4, 2) for which of these systems of linear equations? 3 x + 13 y = 14. 6 x + 11 y = negative 2. 4 x + 5 y = 12. 8 x + 3 y = negative 4. 5 x + 4 y = 12. 7 x + 8 y = 12. 10 x + 3 y = 8. 17 x + 6 y = 10.
Answer:choice one
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
I did the test
help me pls
Tell whether lines m and n must be parallel from the given
Information. If they are, state your reasoning.
Answer:
The first one isn't the second one is.
Step-by-step explanation:
In the first one, they have to be equal because they're corresponding angles so m and n are parallel.
In the second one, m<2 and m<3 would be supplementary and add up to 180 degrees if the lines were parallel and since they don't add up to 180, the lines are not parallel.
How can we solve question 13 algebraically? Will give brainliest + 10 points
Answer:
The answer is C.
Step-by-step explanation:
First, you have to make expressions for all the flags :
[tex]let \: blue \: flag = x[/tex]
Green flag cost 10 times the price of blue flag,
[tex]green \: flag = 10 \times x = 10x[/tex]
Red flag is half the price of green flag,
[tex]red \: flag = 10x \div 2 = 5x[/tex]
Orange is 10 dollars less than red flag,
[tex]orange \: flag = 5x - 10[/tex]
Assuming that the total cost of all 4 different coloured flags is $200. So you have to solve the value of x :
[tex]x + 10x + 5x + 5x - 10 = 200[/tex]
[tex]21x - 10 = 200[/tex]
[tex]21x = 200 + 10[/tex]
[tex]21x = 210[/tex]
[tex]x = 210 \div 21 = 10 \: dollars[/tex]
Then, you have to substitute the value of x into the expression of orange flag :
[tex]orange flag = 5x - 10[/tex]
[tex]orange flag = 5(10) - 10[/tex]
[tex]orange flag = 50 - 10[/tex]
[tex]orange flag = 40 \: dollars[/tex]
Help me ASAP for this question the picture are the answers
If triangle BAT is similar to triangle ROD (ABAT AROD), which of the following statements is incorrect?
Answer:
I'm pretty sure it's the last one that is incorrect
Step-by-step explanation:
Answer:
The first one - “line segment TA is congruent to line segment DO” is incorrect
Step-by-step explanation:
Since the triangles are similar, the angle measurements would be the same (congruent), but the line segments are are only similar, not congruent, as they have different lengths. So the first statement is incorrect.
PLEASE HELP!!!! QUESTION IS BELOW
Answer:
[tex]\boxed{70\°}[/tex]
Step-by-step explanation:
Angle ABP and angle MAB are corresponding angles.
Corresponding angles are equal.
Angle ABP = 50 degrees
Angle CBP and angle BCQ are corresponding angles.
Corresponding angles are equal.
Angle CBP = 20 degrees
Angle ABC is the sum of angles CBP and ABP.
[tex]50+20=70[/tex]
Brad wants to open a new savings account. He finds one that returns 3% on his investment each year.
Question 1
Assign a variable to each of the following płeces of information:
• final balance
• initial investment
• return rate
use the variable to write a formula for the final balance after 2 years
Answer:
1.03x
Step-by-step explanation:
1 year b would be the inital investment added with interest
i believe this is the equation
b = x + r(x)= (1 + r)x
and since it says 3% each year we know its 0.03 (r)
and when you solve it out you get that answer
Isabella uses one-foot cubical blocks to build a rectangular fort that is 12 feet long, 10 feet wide, and 5 feet high. The floor and the four walls are all one foot thick. How many blocks does the fort contain?
Answer:
600 blocks
Step-by-step explanation:
Well this question is asking us to find the volume of the rectangular prism.
Dimensions)
L: 12
W: 10
H:5
The formula for the volume of a rectangular prism is l*w*h or B*h.
So 12*10 = 120
120 * 5 = 600 blocks
Thus,
the fort contains 600 blocks.
Hope this helps :)
Answer:
[tex]\boxed{280\ blocks}[/tex]
Step-by-step explanation:
The blocks at the base are:
Length * Width = 10 * 12 = 120 blocks
On the 2nd Layer:
=> 9+11+9+11 = 40 blocks
There are 3 more layers as the 2nd layer:
So, the blocks of these 4 layers are => 4 * 40 = 160 blocks
Total Blocks = Base Blocks + Layer Blocks
=> 120 + 160
=> 280 blocks