[tex]9 - 4r > 5[/tex]
Plus sides 4r
[tex]9 - 4r + 4r > 5 + 4r[/tex]
[tex]9 > 4r + 5[/tex]
Subtract sides -5
[tex]9 - 5 > 4r + 5 - 5[/tex]
[tex]4 > 4r[/tex]
[tex]4r < 4[/tex]
Divided sides by 4
[tex] \frac{4}{4}r < \frac{4}{4} \\ [/tex]
[tex]r < 1[/tex]
_________________________________
Done♥️♥️♥️♥️♥️
Answer:
[tex]\boxed{\sf{r < 1}}[/tex]Step-by-step explanation:
[tex]\boxed{\underline{\text{SOLVING AN INEQUALITY}}}[/tex]
Given:
The inequality must be solved.
The process of solving an inequality consists of determining the values of the variable that make the statement true.
The definition of inequality is where one quantity is greater than or less than another.
Solutions:
9-4r>5First, subtract by 9 from both sides.
[tex]:\Longrightarrow \sf{9-4r-9 > 5-9}[/tex]
Solve.
5-9=-4
-4r>-4
Multiply by -1 from both sides.
[tex]\Longrightarrow: \sf{\left(-4r\right)\left(-1\right) < \left(-4\right)\left(-1\right)}[/tex]
Solve.
4r<4
Divide by 4 from both sides.
4r/4<4/4
Solve.
4/4=1
[tex]\Longrightarrow: \boxed{\sf{r < 1}}[/tex]
Therefore, the final answer is r<1.I hope this helps, let me know if you have any questions.
Learn more about how to solve inequality:
https://brainly.com/question/12476793
Ted combines 7.28 ounces of strawberries with 8.06 ounces of blueberries to make fruit bowls. He pours the fruit equally into 4 bowls, and has 1.58 ounces of fruit left over. How many ounces of fruit are in each bowl?
Answer:
7.28 ounces + 8.06 ounces = 15.34 ounces combined
15.34 ounces - 1.58 ounces left over = 13.76 ounces
divide 13.76 ounces by 4 people = 3.44 ounces per bowl
factorize the following expression completely 2x*2 - x - 6
Answer:
3(x-2)
Step-by-step explanation:
Factor 2x(2)−x−6
=> 3x−6
=>3(x−2)
Answer:
=> 3(x−2)
.....................................
500 reduced by 4 times my age is 112
Answer:
Your age is 97 years old.
Step-by-step explanation:
Let x be age.
500 - 4x = 112
-4x = -388
x = 97
Can someone help me with this one,I’m not exactly sure what the answer is
Answer:
She gained 13,800 pounds
1 ton = 2,000 pounds
2,000 × 7 = 14,000
14,000 - 200 = 13,800
Karla buys t-shirts to promote her local business. She develops the inequality t > 100 for the number of t-shirts she needs to sell in order to make a profit. Answer the following questions. If she is selling each shirt for $15 dollars, how much money did Karla spend to make the t-shirts? How do you know?How much money would Karla have lost if she sells only 90 t-shirts?
Karla spent $1500 to make the shirt and will lose $150 if she sells only 90 t-shirts.
What is an inequality?An inequality is an expression that shows the non equal comparison of two or more numbers and variables.
Let t represent the number of t-shirts she needs to sell in order to make a profit. Since:
t > 100 and the price is $15 per shirt, hence:
Money spent = $15 * 100 = $1500
Money lost in sell 90 shirts = (100 - 90) * 15 = $150
Karla spent $1500 to make the shirt and will lose $150 if she sells only 90 t-shirts.
Find out more on inequality at: https://brainly.com/question/24372553
g = 1, h = 2
7 + g − 8 + 2h + 4g
Answer:
7+1-8+2(2)+4(1)
= -1+4+4
=7
Answer:
8
Step-by-step explanation:
Given:
g = 1, h = 2
7 + g − 8 + 2h + 4g
Solve:
Since g = 1 and h =2
Substitute
7+(1)-8+2(2)+4(1)
= 7+(1)-8+4+4(1)
= 7 + (1)-8+4+4
= 8 -8 + 4 + 4
= 4 + 4
=8
Hence, Answer = 8
~lenvy~
Quadrilateral DEFG has coordinates D (2, 1), E (2, 6), F (5, 6), and G (5, 1). How can quadrilateral DEFG be classified?
Group of answer choices
rhombus but not a square
parallelogram but neither a rhombus nor a rectangle
rectangle but not a square
square
Answer:
Rectangle but not a square
Step-by-step explanation:
Let's start by determining if it's a parallelogram.
The slope of side DE is undefined.
The slope of side EF is 0.
The slope of side FG is undefined.
The slope of side DG is 0.
Thia means we have 2 pairs of opposite parallel sides, meaning DEFG is a rhombus.
Now, let's determine if it's a rectangle. Since the slope of
side DE is undefined and the slope of side EF is 0, sides DE and EF are perpendicular. This means that angle DEF is a right angle, and thus DEFG is a rectangle.
To determine if DEFG is a rhombus, we can find the lengths of adjacent sides DE and EF.
The length of DE is 5.
The length of EF is 3.
Since the pair of consecutive sides (sides DE and EF) aren't congruent, DEFG is not a rhombus.
Since DEFG is not a rhombus, it also cannot be a square.
This means DEFG is a rectangle, but not a square.
the length of a rectangle is 1 more than 3 times the width. if the perimeter is 98. what is the length ?
Answer:
length = 37
Step-by-step explanation:
w= x
l= 3x + 1
to get the perimeter you need to add all sides.
x + x + 3x + 3x + 1 + 1 = 98
8x + 2 = 98
8x = 96
x = 12
To get the length plug in the value of the x to 3x + 1.
length = 3(12) +1
length = 37
Find the slope of the line through the given points.
( -2,-8) and (2,4)
Answer:
m = 3
Step-by-step explanation:
Use the slope formula to find the slope m .
Answer:
3
Step-by-step explanation:
hope this helps!
The width of a rectangular flower shop is 20 feet less than twice the length. The perimeter is more than 70 feet. Which inequality can be used to find a possible length x of the shop in feet?
A. x+ (2x - 20) > 70
B. 2x + 2(2x - 20) > 70
C. x + (x - 20) > 70
D 2x + 2(x - 20) >70
Answer:
what is it
Step-by-step explanation:
The perimeter is represented by the inequality 2x + 2(2x - 20) > 70. Then the correct option is B.
What is the perimeter of the rectangle?Let W be the rectangle's width and L its length. The perimeter of the rectangle will be defined as the total length of all of its sides. So the rectangle's perimeter will be
Perimeter of the rectangle = 2(L + W) units
The width of a rectangular flower shop is 20 feet less than twice the length.
W = 2L - 20
The perimeter is more than 70 feet. Then the inequality is given as,
P < 2(L + W)
70 < 2(L + 2L - 20)
70 < 2L + 2(2L - 20)
Replace L with x, then we have
2x + 2(2x - 20) > 70
The perimeter is represented by the inequality 2x + 2(2x - 20) > 70. Then the correct option is B.
More about the perimeter of the rectangle link is given below.
https://brainly.com/question/15287805
#SPJ2
What is the answer to this?
Answer:
Step-by-step explanation:
1/5(x-6/5)=-51/25
1/5x-6/25=51/25
5/25x=57/25
5x=57
x=11.4
2 square root of x / square root of x multiplied by 3
Answer:
There are two possible answers to this question. if the demoninator has the three on the outside of the square root your answer is 2/3. If your demoninator has the three inside the square root your answer is [tex]\frac{2\sqrt{3} }{3}[/tex] or 1.15. Let me know if this helps!
Work out 4/5 - 3/20 - 2/10
Answer:
9/20
Step-by-step explanation:
LCM of 5, 20, and 10 = 20
4/5
= 4/5 x 4/4
= ( 4 x 4 )/( 5 x 4 )
= 16/20
2/10
= ( 2/10 ) x ( 2/2 )
= ( 2 x 2 )/( 10 x 2 )
= 4/20
4/5 - 3/20 - 2/10
= 16/20 - 3/20 - 4/20
= ( 16 - 3 - 4 )/20
= ( 16 - 7 )/20
= 9/20
Answer:
9/20
Step-by-step explanation:
First, you need to find common denominators between all of the fractions.
All of these denominators can be multiplied by a whole number to equal 20.
For 4/5, multiply both the numerator and the denominator by 4 to get 16/20
Leave 3/20 alone
For 2/10, multiply both the numerator and the denominator by 2 to get 4/20
Now you have 16/20 - 3/20 - 4/20
= 9/20
This figure represents a piece of a structure that will be built out of sheet metal. The construction crew needs 3 of these pieces.
How much sheet metal is needed to build all 3 pieces.
Enter your answer in the box.
Answer:
702 ft²
Step-by-step explanation:
The total surface area of the prism is the sum of the areas of its 7 faces.
lateral area
The width of each rectangular face is 8 ft. The total length of all of the rectangular faces is equal to the perimeter of the base:
7 ft +5 ft +3 ft +5 ft + 2 ft = 22 ft
So, the rectangular area is ...
A = LW = (8 ft)(22 ft) = 176 ft²
__
base area
The area of each base is equivalent to the area of a 5 ft×7 ft rectangle with a 3 ft×4 ft right triangle cut off one corner. The base area will be ...
A = LW -1/2bh
A = (5 ft)(7 ft) - 1/2(3 ft)(4 ft) = 29 ft²
__
area of one
So the total surface area of one structure is ...
lateral area + 2×(area of one base)
= 176 ft² +2(29 ft²) = 234 ft²
__
If 3 pieces are needed, the total amount of sheet metal needed for their construction is ...
(234 ft²) × 3 = 702 ft² . . . . needed to build all 3 pieces
Answer:
the answer is 702 I took the test
pls help, will give brainliest <3
Answer:
The missing side is 5 sq units.
Count each square unit without a grid.
The picture should prove this true that I edited.
Proof ↓Which function matches this graph?
f(x)=x2−3f ( x ) = x 2 − 3
f(x)=x2+9f x = x 2 + 9
f(x)=x2−6x+9f ( x ) = x 2 − 6 x + 9
f(x)=x2+6x+9f ( x ) = x 2 + 6 x + 9
Answer:
[tex]\large\boxed{\sf f(x) = x^2-6x+9}[/tex]
Step-by-step explanation:
We are here given a graph of a equation and we are interested in finding the equation .
From the given graph we can see that it cuts the x axis at point (3,0) . This graph represents a quadratic function and its two zeroes are 3,3 . We can write the equation using the two zeroes .
Say if the zeroes of the quadratic equation are p and q , then the quadratic equation can be written as ,
[tex]\longrightarrow (x-p)(x-q)=0 [/tex]
And the quadratic function can be written as ,
[tex]\longrightarrow f(x)= k[ (x-p)(x-q)][/tex]
where k is a constant .In this case k = 1 . So we can write the function as ,
[tex]\longrightarrow f(x) = (x-3)(x-3)[/tex]
Distribute ,
[tex]\longrightarrow f(x)= x (x-3)-3(x-3)[/tex]
Simplify by opening the brackets,
[tex]\longrightarrow f(x) = x^2-3x -3x +9 [/tex]
Add like terms,
[tex]\longrightarrow \underline{\underline{f(x) = x^2-6x+9}}[/tex]
And we are done!
The diagram shows an isosceles triangle. Work out the size of angle y.
A 740°
B 2540°
C 286°
D 3070°
What is 8 inches converted to feet? Write your answer as a fraction in simplest form
Answer: 2/3 feet
Step-by-step explanation:
Since there are 12 inches in a foot, 8 inches would be equal to 8/12 of a foot. We can divide the numerator and the denominator by 4.
8/12 = 2/3 feet
Answer:
2/3 feet
Step-by-step explanation:
How do we convert inches to feet?
To convert a number of inches into feet, we divide the number of inches by 12.Solving
8 ÷ 12 = 8/128 and 12 have a GCF of 4.8/4= 2, 12/4 = 32/3Therefore, the answer is 2/3 feet.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
Solve the multi-step equations.
2(x+5)=3(x+6)
Answer:
2x + 10 = 3x + 16
2x - 3x = 16 - 10
x = 6
Answer:
[tex]x=-8[/tex]
Step-by-step explanation:
Given the following question:
[tex]2(x+5)=3(x+6)[/tex]
To find the answer we need to expand the equation by using the distribution property, use inverse operations by subtracting or adding on both sides, and of course simplify if needed.
[tex]2(x+5)=3(x+6)[/tex]
[tex]2(x+5)=2x+10[/tex]
[tex]3(x+6)=3x+18[/tex]
[tex]2x+10=3x+18[/tex]
[tex]10-10=0[/tex]
[tex]18-10=8[/tex]
[tex]2x=3x+8[/tex]
[tex]3x-3x=0[/tex]
[tex]2x-3x=-x[/tex]
[tex]-x=8[/tex]
[tex]-x\div-x=x[/tex]
[tex]8\div-1=-8[/tex]
[tex]x=-8[/tex]
Your answer is "x = -8."
Hope this helps.
Arianna and Blair are working on a problem together: Solve x/3 + 8 = -2. Blair thinks the first step is to multiply by 3. Arianna explains that this, not the most efficient way to solve. Explain who is correct and justify your reasoning.
x/3 + 8 = -2
Because x is in a fraction, the most efficient way to solve is to remove the 8 first.
The first step should be to subtract 8 from both sides:
x/3 = -10
Then you would multiply both sides by 3:
x = -30
Blair was correct but Arianna is correct too.
Let's see why :
_________________________________ We're gonna solve it from Blair's method .
[tex] \frac{x}{3} + 8 = - 2 \\ [/tex]
Multiply sides by 3
[tex]x + 24 = - 6[/tex]
Subtract sides minus 24
[tex]x = - 6 - 24[/tex]
[tex]x = - 30[/tex]
_________________________________
The faster way is :
[tex] \frac{x}{3} + 8 = - 2 \\ [/tex]
Subtract sides minus 8
[tex] \frac{x}{3} = - 2 - 8 \\ [/tex]
[tex] \frac{x}{3} = - 10 \\ [/tex]
Multiply sides by 3
[tex]x = - 30[/tex]
It is very easier to calculate -2-8 than -24-6 and also it is very easier to multiply -10 by 3 than multiply 8 by 3 and multiply -2 by 3 and then calculate.
So Arianna is correct.
I think this is the correct answer.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
Devaughn is 12 years older than Sydney. The sum of their ages is 88. What is Sydney's age?
Answer:
Sydney is 76.
Step-by-step explanation:
Why?
88 - 12 = 76
If Devaughn is 12 years older and the sum of their ages is 88, Sydney is 76. When you add 12 to 76, you get 88. 88 is the sum of their ages.
3.25 + 3 tenths A.6.25 B.3.55
Answer:
b
Step-by-step explanation:
3.25+.3=3.55
[tex]\huge\boxed{B,\;3.55}[/tex]
___________________________________________________________
[tex]\boxed{Explanation}[/tex]
So, we have the following equation...
[tex]3.25+3/10=(?)[/tex]
Lets turn the fraction into a decimal.
Here's how...
Divide the numerator by the denominator.Remember, the top number is the numerator and the bottom number is the denominator.The line in the middle of our fraction represents division.Our numerator is 3, while our denominator is 10.Therefore, [tex]3/10=0.3[/tex].
Next, lets add our new decimal with 3.25.
[tex]3.25+0.3=3.55[/tex]
This gives us our final answer... [tex]3.55[/tex].
___________________________________________________________
Hope it helps!
May i have brainliest?
[tex]\huge\boxed{Thanks,\;Plip.}[/tex]
Can someone help with all these problems?. Give me the right solutions and the winner will recive a brainly.
Answer: For the first one wouldnt it be like:
ht=10(r)+5
Step-by-step explanation:
Enter the value for x that makes the equation 7x+5-x+6=53
Answer:
x = 7
Step-by-step explanation:
7x + 5 - x + 6 = 53 , that is
6x + 11 = 53 ( subtract 11 from both sides )
6x = 42 ( divide both sides by 6 )
x = 7
Brian sees this tent in a catalog. He is 6 ft 2 in. tall and wants to find out if he will be able to stand up straight in the tent. What is the height of the tent?
A. 5ft.
B. 6ft.
C. 6.5ft.
D. 8ft.
Factor 32w+40z using the GCF.
a. 2(16w+20z)
b. 4(8w+10z)
c. 8(3w+5z)
Selected:d. 8(4w+5z)
Answer:
{x,y,z,w}={-1,0,6,3}
What is the remainder when you divide: ( 4x^2 − 11x + 8 ) ÷ ( x + 2 )?
is 5.16 a rational or irrational number?
Answer:
rational
Step-by-step explanation:
Write an equation of the perpendicular bisector of the segment with endpoints G(5,-8) and H(7,4) Your answer should be in slope-intercept form. Please type your equation with NO SPACES and if the slope is not a whole number, please make sure it is written as a faction.
Answer:
[tex]y=-\frac{1}{6}x-1[/tex]
Step-by-step explanation:
In order to solve this problem we can start by finding the slope of the perpendicular equation. We can do this by finding the slope of the equation that passes through the two points provided by the problem.
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
so we input the two points (5,-8) and (7,4) to get:
[tex]m=\frac{4-(-8)}{7-5}[/tex]
so
m=6
next, we find the negative reciprocal to get the slope of the perpendicular line, so we get:
[tex]m=-\frac{1}{6}[/tex]
Now we need to find one point that the line passes through.
we can find that point by using the midpoint formula:
[tex]x=\frac{x_{2}+x_{1}}{2}[/tex]
[tex]y=\frac{y_{2}+y_{1}}{2}[/tex]
so we get:
[tex]x=\frac{7+5}{2}=6[/tex]
[tex]y=\frac{4-8}{2}=-2[/tex]
So the point is (6,-2)
So now we can find the equation of the line by using the point-slope form of the linear equation:
[tex]y-y_{1}=m(x-x_{1})[/tex]
and substitute the point and the slope into the equation:
[tex]y-(-2)=-\frac{1}{6}(x-6)[/tex]
and solve for y:
[tex]y=-\frac{1}{6}x+1-2[/tex]
[tex]y=-\frac{1}{6}x-1[/tex]
which will be our answer.