Answer: -6<x<5
Step-by-step explanation:
Given
Length is 3 m more than three times the width
Suppose width is x
So, the length is 3x+3
The area of a rectangle is [tex]length\times width[/tex]
Area= [tex](3x+3)x<90[/tex]
[tex]\Rightarrow 3x^2+3x-90<0\\\Rightarrow x^2+x-30<0\\\Rightarrow x^2+6x-5x-30<0\\\Rightarrow (x+6)(x-5)<0\\\Rightarrow -6<x<5[/tex]
Algebraic Simplification
Solve
1. (5a- 6b) + (4a +8b)
2.pqr+pqr-2qrs+5qrs-3pqr
(Need step by step explanation)
Answer:
[tex] \boxed{ \tt{1. \: \: 9a + 2b}}[/tex]
[tex] \boxed{ \tt{2. \: \: 2pqr + 3qrs - 3pqr}}[/tex]
Step-by-step explanation:
[tex] \tt{1. \: \: (5a - 6b) + (4a + 8b)}[/tex]
Remove the unnecessary parentheses :
⇾ [tex] \tt{5a - 6b + 4a + 8b}[/tex]
Combine like terms. Like terms are those which have the same base { For instance : In the term 4a , a is the base }. Also remember that : Only coefficients of like terms can be added or subtracted.
⇾ [tex] \tt{5a + 4a - 6b + 8b}[/tex]
⇾ [tex] \tt{9a + 2b}[/tex]
[tex] \tt{2. \: \: pqr + pqr - 2qrs + 5qrs - 3pqr}[/tex]
Combine like terms :
⇾ [tex] \tt{2pqr + 3qrs - 3pqr}[/tex]
Hope I helped ! ♡
Have a wonderful day / night ! ツ
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Answer:
1. (5a-6b) + (4a+8b)
= (5a + 4a) + (8b - 6b)
=9a + 2b
2. pqr+pqr-2qrs+5qrs-3pqr
= 2pqr-3qrs-3pqr
= -3qrs-pqr
Step-by-step explanation:
have a great day
Figure ABCD is a rhombus.What is the value of x? 13 14 26 28
Answer:
The answer is 13
Step-by-step explanation:
Took the test on Edge
Answer:
x=13 :)
I took the quiz
The amount of flour that the bakery used this month was a 40% increase relative to last month. The bakery used 75 pounds of flour last month. How much
flour did the bakery use this month?
Answer: 11%
Step-by-step explanation:
so, I’m not going anywhere else to go to the store and I’ll let you know if you need anything or do I need to get something for dinner lol you know what I’m going through and I can’t even imagine what you mean by that time and you have have to do that for you too but I’m just trying to get you to do that that I don’t want to do with that and that I’m going to be a pain and I’m sorry I don’t want you to think that you have been in the hospital and you have no desire for me to come in this week I don’t think I can do anything with your dad and you are just not being mean and I can’t even talk to you and I’m not going through all that I know I don’t know what to do but you are not going through all this nonsense I know that I know what I want you do not need me but you know me I love that I don’t know if I will ever do that anymore but you are not even in my mind for a while but you are not so much and I’m sorry I just want to make sure that I have no idea that I’m going to have to be a friend of my best relationshi.
NUMBER 2 AND 3. GIVING BRAINLIEST!!
Answer:
2. a. 11/4
b. 8/6
3. a. 2 1/6
b. 3 2/3
Step-by-step explanation:
So basically for number 2, you need to multiply the whole number and the denominator, then add the numerator.
For number 3, you need to divide the numbers. Like how much does 6 go to 13 or 11 go to 3. The remainder should be the numerator.
Answer:
Step-by-step explanation:
2)a)
[tex]2\frac{3}{4}=\frac{(2*4)+3}{4}=\frac{8+3}{4}=\frac{11}{4}\\\\1\frac{2}{6}=\frac{(1*6)+2}{6}=\frac{6+2}{6}=\frac{8}{6}\\[/tex]
3)
[tex]a) \frac{13}{6}=2\frac{1}{6}\\\\b) \frac{11}{3}=3\frac{2}{3}\\[/tex]
Amy deposits $20,000 into an account that pays 6% interest per year, compounded annually. Bill deposits $20,000 into an account that also pays 6% per year. but it is simple interest. find the interest Amy and Bill earn during each of the first years, then decide who earns more interest for the year. assume there are no withdraws and no additional deposits
Answer:
Yeah, math math wu wu
Step-by-step explanation:
brainliest, pls help
The elevator can hold at most 20 people. Which inequality shows the capacity of the elevator.
A
x ≤ 20
B
x > 20
C
x < 20
D
x ≥ 20
Answer:
A x ≤ 20
Step-by-step explanation:
Answer this question on the picture
Answer:
When one variable influences a change in another
Step-by-step explanation:
Causation means that one event causes another event to occur.
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 6, 4, 8/3... Find the 7th term.
Answer:
0.527
Step-by-step explanation:
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 6, 4, 8/3... Find the 7th term
The sequence given in the above Question is a geometric sequence.
The formula for the nth term of a geometric sequence is given as:
an = a × r ^n - 1
Where
a = First term
r = Common ratio
n = nth term
From the above question, we are asked to find the 7th term
Hence:
a = 6
Common ratio = Second term/first term
= 4/6 = 2/3
n = 7
The 7th term = 6 × (2/3 )^7 - 1
= 6 × (2/3)^6
= 6 × (2/3)⁶
= 0.5267489712
Approximately to the nearest thousandths the 7th term = 0.527
a) Find the lowest common multiple (LCM) of 36 and 48
Answer:
144
Step-by-step explanation:
I did the sum out :) :)
anyone got an answer for this (don't mind the 160 i put. That answer is wrong)
Answer:
140°
Step-by-step explanation:
Angles in a triangle add up to 180
we can see it's an isosceles triangle so the base angles are the same
The missing angle inside the triangle would be...
180 - (70 + 70) = 40°
Angles on a straight line add up to 180
so 180 - 40 = 140°
Help me with this pls
Answer:
D 10x=150
Step-by-step explanation:
They are the same degree so they must equal eachother
Answer:
10x=150(Vertically Opposite Angle)
Please help! This is due in two minutes :(
Is y=x^2 a function
Answer:
No
Step-by-step explanation:
y=x^2 is a sideways parabola and therefore not a function
Answer:
yeah
Step-by-step explanation:
Like based on existence theorem, for a rational number x there is a rational numner y, x^2=y
last month a class collected 240 cans for a canned-food drive. this month the class collected 320 can. what was the percent increase in the numbers of cans collected
Jessica is measuring two line segments. The first line segment is 300 cm long. The second line segment is 500 cm long. Find the total length of both the line segments.
Answer:
The total length of both the line segments is 800 cm long.
Step-by-step explanation:
5 1/6 - 2 15/12x + 1 1/4x = 7 2/3
How do you solve -2+x=-x+2
Answer:
x=2
Step-by-step explanation:
-2 + x = -x + 2
Isolate the variable
2x = 4
Simplify
x = 2
Answer:
x = 2
Step-by-step explanation:
you want to move the variables to one side, the numbers to the other side.
x = -x+4
then you move the other x
2x = 4
x = 2
Suzanne is putting a fence around her rectangular garden. The length of the garden, x, is 4 feet more than the width. The perimeter of the garden is 32 feet. Write an equation to find the length of the garden.
Enter the correct answer in the box.
Answer:
Length=10 feet
Width=6 feet
Step-by-step explanation:
Let width (W) of the garden is x feet
Then Length=L=4+x feet
Perimeter=P=2(W + L)
P=2(x+x+4)
32=4x+8
4x=32-8
x=24/4=6 feet
W=6 feet
L=10 feet
Find the slope of the line passing through the points (-5,6) and (6,6).
slope:
Answer:
0
Step-by-step explanation:
the equation on finding slope is y2 - y1/x2 - x1
so it is...
6 - 6 = 0
6 - -5 = 11
0/11 but that doesnt work so I believe the slope is zero because the denominator is not the one being a 0
hope I helped ;)
Answer: its a zero slope
Step-by-step explanation: i just put them on a graph - uh i think there is another way to do it but i forgot
Algebra is a hard subject for me can I have help please
Answer:
What he/she said
the amount of ppl who do this lol.
Do Now
Determine the coordinates of the midpoint of the line
segment with endpoints R(6,-2) and S(-3,-2).
O (1,2)
O (1.5, 2)
O (1.5, -2)
(3,-2)
Answer:
(1.5, -2)
Step-by-step explanation:
First subract -3 from 6 to find the total distance of the line segment.
6 - (-3)
Two negatives make a positive
6 + 3
9 units distance
Knowing this, the midpoint is 4 1/2 units away from either end. (1/2 * 9 = 9/2 = 4 1/2 units) Either add 4.5 to -3, or subtract 4.5 from 6 (keep the -2 though, as this line is straight!) to get the coordinates of the midpoint.
-3 + 4.5
-3 + 3 + 1.5
(1.5, -2)
6 - 4.5
6 - 4 - 0.5
2 - 0.5
(1.5, -2)
The midpoint of segment RS is (1.5, -2).
Ewan has 48 white tiles and 16 blue tiles. The cost of each white tile is £2.
The cost of each blue tile is £4.
Work out the ratio of total cost of white tiles to the total cost of the blue tiles.
A quadratic equation is shown below
9x^2-36x+36=0
A Determine the radicand discriminat... the number under the radical sign tell how many solutions this equation has and indicate how you know based on the radicand show your work
B solve 2x^2-9x+7 for using x an appropriate method show the steps of your work
9514 1404 393
Answer:
A. d = 0 -- one (1) solution
B. x = {1, 3.5}
Step-by-step explanation:
A. The discriminant for ax²+bx+c = 0 is ...
d = b² -4ac
For the given equation, this is ...
d = (-36)² -4(9)(36) = 0
The discriminant is zero (0).
The discriminant divided by the leading coefficient (a=2) will give the difference between the two roots of the equation. When the difference is zero, as here, both roots are the same. Effectively, there is one (1) solution to the equation.
__
B. The equation can be factored as ...
2x² -9x +7 = (2x -7)(x -1) = 0
The solutions are the values of x that make the factors be zero:
2x -7 = 0 ⇒ x = 7/2
x -1 = 0 ⇒ x = 1
The solutions are x = 7/2 or x = 1.
please help i’ll give brainliest
Answer:
about 463 minutes or 7.7 hours
Step-by-step explanation:
area=length*width
4.75ft*3.25ft=15.4375ft^2
Now multiply 15.4375*30 to get 463.125 minutes
6. Find the missing angle.
Step-by-step explanation:
one triangle has total 180°. so, 180° - 45° - 30° = 105°
Answer : 105°
Solve the inequality and graph the solution, please put it on a number line if you can.
200 - 4.5x ≤ 20
Answer:
x is greater than or equal to 40
Step-by-step explanation:
In the school chorus, 3 9 of the students are fourth graders. In simplest form, what fraction of the students in the school chorus are fourth graders?
Answer: 1 / 3
Step-by-step explanation:
3/9 of the students in the school choir are fourth graders.
To take a fraction to its simplest form, divide both of the numbers in the fraction by their highest common factor.
3 factors = 1 , 3
9 factors = 1, 3 , 9
Highest common factor = 3
Divide both numbers by 3
= (3/3) / (9/3)
= 1 / 3
Which statement best explains the relationship
between lines FG and HJ?
O They are perpendicular because their slopes are
equal.
O They are perpendicular because their slopes are
O They are not perpendicular because their slopes are
O They are not perpendicular because their slopes are
negative reciprocals.
equal.
not negative reciprocals.
Answer:
they are perpendicular because they have slopes that are negative reciprocals
Step-by-step explanation:
th
The statement that best explains the relationship between lines FG and HJ is "They are not perpendicular because their slopes are not negative reciprocals."
What is a slope?The slope or gradient of a line in mathematics is a numerical representation of the steepness and direction of the line.
If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,
then the equation of line is
y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)
To find the slope;
m = (y₂- y₁) / (x₂ - x₁)
To find the slope of a line passing through two given points, we use the formula:
slope = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are the coordinates of the two points.
For line FG, the two points are F(-4, 1) and G(0, -2):
slope of FG = (-2 - 1) / (0 - (-4)) = (-2 - 1) / 4 = -3/4
For line HJ, the two points are H(-4, -2) and J(0, 4):
slope of HJ = (4 - (-2)) / (0 - (-4)) = 6/4 = 3/2
The slopes of lines FG and HJ are not equal. However, we can see that they are not negative reciprocals of each other:
slope of FG = -3/4
slope of HJ = 3/2
Therefore, lines FG and HJ are not perpendicular because their slopes are not negative reciprocals of each other.
To learn more about the slope;
brainly.com/question/3605446
#SPJ7
Saffron is very expensive spice. A shop selling saffron for $ 7.35 per gram.
Write the formula for the cost (y), in dollars, of g grams of saffron.*
a) y = 7.35g
b)g=7.35 y
c) y = 7.35+g
Answer:
A
Step-by-step explanation:
B is wrong because it's saying to multiply the cost by $7.35.
C is wrong because it's telling you to add the amount of grams to $7.35.
A is the correct answer because you have to mutiply the cost by the grams which is what a number by a variable means.
Saffron is one the most expensive spices in the world. Ms. Patel pays $123.51 for 2.3 grams of saffron. What is the price per gram?
Step-by-step explanation:
help
Simplify the radical
Answer:
[tex] \sqrt{108} \sqrt{36 \times 3} \sqrt{36} \sqrt{3} \: \: 6 \sqrt{3} \: \: \: \sqrt{108} = 10.392304845413264[/tex]