Answer:
x=2
Step-by-step explanation:
6x+2x-9=7
Combine like terms on each side of the equation
8x-9=7
Add 9 to each side
8x=16
Divide by 8 on each side
x=2
Simplifying
6x + -2x + -9 = 7
Reorder the terms:
-9 + 6x + -2x = 7
Combine like terms: 6x + -2x = 4x
-9 + 4x = 7
Solving
-9 + 4x = 7
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '9' to each side of the equation.
-9 + 9 + 4x = 7 + 9
Combine like terms: -9 + 9 = 0
0 + 4x = 7 + 9
4x = 7 + 9
Combine like terms: 7 + 9 = 16
4x = 16
Divide each side by '4'.
x = 4
Simplifying
x = 4
Step-by-step explanation:
Help please!!!
Having trouble on question 6
Answer:
XY= 12
Step-by-step explanation:
Please see attached picture for full solution.
plz reanswer it If (x+4): (3x+1) is the duplicate ratio of 3:4 find the value of x.
Answer:
[tex] \boxed{\sf x = \frac{13}{5} } [/tex]
Given:
(x + 4):(3x + 1) is the duplicate ratio of 3:4
To Find:
Value of x
Step-by-step explanation:
[tex] \sf Solve \: for \: x: \\ \sf \implies (x + 4) : (3x + 1) = 3 : 4 \\ \\ \sf Convert \: ratios \: to \: fractions: \\ \sf \implies \frac{x + 4}{3x + 1} = \frac{3}{4} \\ \\ \sf Cross \: multiply: \\ \sf \implies 4(x + 4) = 3(3x + 1) \\ \\ \sf Expand \: out \: terms \: of \: the \: left \: hand \: side: \\ \sf \implies 4x + 16 = 3(3x + 1) \\ \\ \sf Expand \: out \: terms \: of \: the \: right \: hand \: side: \\ \sf \implies 4x + 16 = 9x + 3 \\ \\ \sf Subtract \: 9 x + 16 \: from \: both \: sides: \\ \sf \implies - 5x = - 13 \\ \\ \sf Divide \: both \: sides \: by \: - 5: \\ \sf \implies x = \frac{13}{5} [/tex]
6x^2 - 9x + 3
- (8x²+ 7x - 1)
Answer:
-2x² - 16x + 4
Step-by-step explanation:
Step 1: Write out expression
6x² - 9x + 3 - (8x² + 7x - 1)
Step 2: Distribute negative
6x² - 9x + 3 - 8x² - 7x + 1
Step 3: Combine like terms (x²)
-2x² - 9x + 3 - 7x + 1
Step 4: Combine like terms (x)
-2x² - 16x + 3 + 1
Step 5: Combine like terms (constants)
-2x² - 16x + 4
Answer:
-2(x^2=8x-2)
Step-by-step explanation:
HELP ASAP!!!!!!!!!!!
Answer:
C
Step-by-step explanation:
the statement (y<1/2x -4) reads "y is LESS than 1/2 x -4."
to fulfil this statement, follow these steps.
1) graph the line 1/2x -4, there will be a yintercept at (0,-4). Also the slope will be increasing (left to right) because 1/2 has no negative sign before it.
2) recognize the inequality sign. In this situation, the solution does NOT INCLUDE THE LINE, rather it includes the area BELOW/LESS THAN the line. If this, < had a line under it, it would mean less than OR equal to.
3) know that if the line is not included, the line will be broken. If the line IS included, which it is not, it would be a solid line.
Answer:
C
Step-by-step explanation:
First, graph the equation:
The y-intercept is -4.
And the slope is 1/2, an upward sloping line.
So, our graph should be either A, B, or C.
D is not correct, so eliminate that.
So, our inequality is:
[tex]y<\frac{1}{2}x-4[/tex]
Note that this inequality is strictly less than. There's no "or equal to" bar. Therefore, our line should be dotted.
Thus, eliminate A and B.
So, C is our answer
Further notes:
The inequality sign means that y is less than the equation. In other words, our shaded region should be below the line.
In C, the shaded area is indeed below the line.
So, C is indeed our answer :)
A rectangular garden is fenced on all sides with 270 feet of fencing.The garden is 9 feet longer than it is wide.Find the length and width of the garden.
Answer:
30
Step-by-step explanation: 270 divided by 9
hope it helps
Are 2/3 and 3/2 equivalent
Answer:
no.
Step-by-step explanation:
let's use apples for this example. if you have 3/2 of an apple that means you actually have one full apple and one apple cut in half since 3/2 is also equal to 1 and 1/2. but 2/3, on the other hand, means you have 2 of 3 sections of 1 apple.
Answer:
no they are not
Step-by-step explanation:
use an equivalent fraction calculator on google to find fractions equivalent!
How much will fertilizer cost for a field 725 feet by 1,021 feet if one bag covers 10,000 square feet and costs $12.97 per bag?
Answer:
$9600.72
Step-by-step explanation:
Area of the field = length × width
Length = 1,021 feet
Width= 725 feet
Area of the field = length × width
= 1,021 feet × 725 feet
= 740,225 square feet
One bag covers 1000 square feet
There are 740,225 square feet
Find the number of bags that will cover the total of 740,225 square feet
Total bags = 740,225 / 10000
=740.225 bags
A bag cost $12.97
Total cost of 740.225 bags= 740.225 × 12.97
= $9600. 71825
Approximately
$9600.72
Which is a possible turning point for the continuous function
f(x)?
(-3,-4)
(-2,-1)
(0,-5)
(1,8)
Answer:
B. (-2,-1)
Step-by-step explanation:
A continuous function is one that do not discontinue, and a little change in its input has no effect on its result. This is one major difference between continuous and discontinuous functions. Both functions has major applications in calculus.
The turning point of a function can be obtained by determining where it is increasing or decreasing.
In the given question, though there is no detailed information about the continuous function, but the probable turning point is (-2, -1).
Answer:
(–2, –1)
Step-by-step explanation:
A playground measures 300 m × 170 m.Find the cost of planting grass on this at the rate of Rs 80 per hectare.
To find the cost of planting grass , we have to find area of the field.
Area of field = Length × Breadth
[tex]{= 300×170}[/tex]
[tex]{=51000 sq. m}[/tex]
Now convert into hectare.
1 hectare = 10000m sq.
51000 / 10000
So area field = 5.1 hectare sq.
Now cost = 5.1 x 0.80 p
[tex]{= 0.408 p}[/tex]
___________(-1)(-1)(-1) =
please help i tried (-1) as the answer is it -1 ???
Answer:
Yes
Step-by-step explanation:
-1 = -1
(-1)(-1) = 1
(-1)(-1)(-1)= -1
Answer:
-1 x -1 x -1
= +1 x -1
= -1
Step-by-step explanation:
Please mark me as the brainliest
plssssss answer quick Hudson bought a plant and planted it in a pot near a window in his house. The initial height of the plant was 8 inches and it grew at a rate of 3 inches per month. Write an equation for H,H, in terms of t,t, representing the height, in inches, of the plant tt months after Hudson bought the plant.
Answer:
H = 8 + 3t
Step-by-step explanation:
H = height
t = time in months
H = 8 + 3t
H is the height at and given time. 8 is the initial height and since it grows 3 in a month it would be 3 times how ever many months have passed.
For example after 6 months
t = 6
H = 8 + 3 (6)
H = 8 + 18
H = 26in
what is 1/2h + 2h + 3/2h - 1 simplified?
Answer:
4h-1
Step-by-step explanation:
subtracted it with a scientific calculator and that was the answer
The graph shows the side view of a waterslide. Dimensions are in feet. Two points on slide: (0, ), ( , 40) graph
Answer:
(0,80) (5,40)
Step-by-step explanation:
edge2020
Two points on the side view of a waterslide are (0,80) and (5, 40)
What are graphs?Graphs are used to visualize the relationship between datasets and variables
From the graph, we have the following coordinates
(0,80), (5,40), (10,20), (15, 10) and (20, 0)
Hence, two points on slide are (0,80) and (5, 40)
Read more about graphs and charts at:
https://brainly.com/question/24741444
: (60'+1242-15a)+(4a2-12a+8)
Which of the following numbers are integers? 7/9, -32, 13, 5/1
A. -32, 13, 5/1
B. -32, 13
C. 7/9, 5/1, 13
D. 13, 5/1
Answer:
b is the correct answer
At 5:00 a.M., a parking lot had 16 cars already parked in it. Throughout the course of the day, 48 more cars entered and parked in the parking lot. Which situation would result in a difference of 0 for the cars exiting the lot for the day?
Answer:
The situation is that; the parking lot has 64 cars at the end of the day
Step-by-step explanation:
Given
Initial Number of cars = 16
Additional Cars = 48
Required
Determine the situation for the day
From the question, we understand that no car left the park;
This implies that
[tex]Number\ of\ cars = Initial\ Cars + Additional\ Cars[/tex]
[tex]Number\ of\ cars = 16 + 48[/tex]
[tex]Number\ of\ cars = 64[/tex]
So, the situation is that; the parking lot has 64 cars at the end of the day
If I had 39inches and 28inches how many inches and all
Answer:
67 inches
Step-by-step explanation:
Since the question is asking how many inches total do you have, we need to add up the 2 values given:
39 inches + 28 inches = 67 inches.
We can convert this to feet by dividing by 12:
67 in /12 in/ft ≈ a little over 5 and a half feet
simplify cos theta csc theta
Answer:
cot theta
Step-by-step explanation:
t = theta
csc t = 1/ sin t
cos t . csc t = cos t / sin t = cot t
At the movie theatre, child admission is $6.40 and adult admission is $9.50. On Sunday, 165 tickets were sold for a total sales of $1266.80. How many adult tickets were sold that day?
Answer:
68Step-by-step explanation:
1. Define unknowns:
x - number of adult tickets ($9.50 each)y - number of child tickets ($6.40 each)2. Make system of equations:
[tex]x+y=165[/tex] [tex]9.5x+6.4y=1266.8[/tex]3. Multiply both sides of first equation by 6.4:
[tex]6.4x+6.4y=1056[/tex] [tex]9.5x+6.4y=1266.8[/tex]4. Subtract first equation from second one:
[tex](9.5x-6.4x)+(6.4y-6.4y)=1266.8-1056[/tex] [tex]3.1x=210.8[/tex] [tex]x=68[/tex]2
Peter bought some packets of sweets from a shop. Each packet of sweets cost $2.
For every two packets of sweets that he bought, he was given one packet free. If he
left the shop with a total of 31 packets of sweets, find
(a) the number of packets of sweets given free.
(1)
Answer:
21 packets bought, 10 packets free
Step-by-step explanation:
PLEASE HELP W MY MATH
F=s+at
SOLVE FOR T.
x/a + y/b =1
SOLVE FOR X.
Answer:
Step-by-step explanation:
s + at = F
at = F - s
t = (F - s)/a
x/a + y/b = 1
x/a = 1 - y/b
a(x/a = 1 - y/b)
x = a - ay/b
Which algebraic expression is equivalent to this expression?
3(2x-8) - 11x
ОА
-5X-24
ОВ.
-17x-24
Ос.
-5X-8
OD.
-17x - 24
Answer: A. -5x-24
Step-by-step explanation:
3(2x-8)-11x
=6x-24-11x
=6x-11x-24
=-5x-24
Hope this helps!! :)
Please let me know if you have any question
Find the area.
7 cm
17 cm
25 cm
Answer:
272cm squared
Step-by-step explanation:
figure a, a traingle... to find area formula is
1/2×b×h
1/2×18×17
153
figure b, it's rectangle.so length×width
=7×17
=119
area of the shape=153+119
=272cm squared
Answer:
D. 272 cm²
Step-by-step explanation:
will make it easy and short
use the area of a trapezoid = (a + b) * h/2
where a = 25, b = 7, h = 17
Area = (25 + 7) * (17/2)
Area = 32 * 8.5
Area = 272 cm²
Can’t seem to figure out how to get the area
Answer:
50sq cm
Step-by-step explanation:
You have to divide the shape into two rectangles. You get a 4x8 and a 3x6.
So then you have 32sq sm and 18sq cm. Add them up and you get 50sq cm.
Mya has an exercise ball in the shape of the sphere shown below.She wants to increase the weight of the ball by filling it with water. Which is closest to the amount of water in cubic inches,that Mya's exercise ball will hold if it is completely full?
Answer: Volume of a sphere = 4/3 * pi * r^3 r = radius of sphere pi~ 3.14
Step-by-step explanation: If you use the radius in inches, your result will be in cubic inches (in^3)
The amount of water in cubic inches, that Mya's exercise ball will hold is 904.779 in³.
What is the volume of a sphere?The volume of a sphere is the volume of space occupied by a sphere. It is given by the formula:
[tex]\text{Volume of Sphere} = \dfrac{4}{3}\pi r^3[/tex]
As it is given that the diameter of Mya's ball is 12 inches, also we know that the volume of a sphere is given by the formula,
[tex]\text{Volume of Sphere} = \dfrac{4}{3}\pi r^3[/tex]
As we know that the diameter of Mya's ball is 12 inches, therefore, the radius of Mya's ball can be written as,
[tex]\rm Radius = \dfrac{Diameter}{2} = \dfrac{12\ in}{2} = 6\ in.[/tex]
Now, if we substitute the value of the radius of Mya's ball in the formula of the volume of the ball,
[tex]\rm \text{Volume of Ball} = \dfrac{4}{3}\times \pi \times 6^3 = 904.779\ in^3[/tex]
Hence, the amount of water in cubic inches, that Mya's exercise ball will hold is 904.779 in³.
Learn more about Volume of Sphere:
https://brainly.com/question/16924154
Solve the linear equation for y.
-8=-10x + 5y
Answer:
-8/5 + 2x = y
Step-by-step explanation:
-8=-10x + 5y
Add 10x to each side
-8+10x=-10x+10x + 5y
-8+10x = 5y
Divide each side by 5
-8/5 + 10x/5 = 5y/5
-8/5 + 2x = y
[tex]\sf\dashrightarrow -8=-10x + 5y [/tex]
[tex]\sf\implies -8=5(2x+y)[/tex]
[tex]\sf\implies \dfrac{-8}{5}=-2x+y [/tex]
[tex]\sf\implies \dfrac{-8}{5}+2x=y[/tex]
[tex]\large{\boxed{\bf{ \star\:\: \dfrac{-8}{5}+2x=y\:\: \star }}}[/tex]
_______________Someone anyone help Meh
Answer:
i don't know
Step-by-step explanation:
Write 4–6 sentences explaining why it is important to have precise definitions
in mathematics. Choose five terms, some from geometry and some from other
areas of mathematics, and give a precise definition of each. Then change each
of those definitions so that it still describes the term but not precisely enough to avoid ambiguity. formulate counter examples, with sketches when feasible, that show how things could satisfy the less precise definitions but not match the intended terms.
pleaseeee help asap !
avoid ambiguity. Formulate counterexamples, with sketches when feasible, that
show how things could satisfy the less precise definitions but not match the
intended terms.
Answer and Step-by-step explanation:
Areas of mathematics, and give a precise definition of each.
Sol: importance: mathematics can be tricky, so precise definitions are essential. Without them, there can be confusion, which will generate the wrong answer more often than not. It teaches the students exactly how to use formulas and under what condition a mathematical statement is true.
Some words related to geometry that are quite hard to define precisely are the line, the plane, and the point. In mathematics, the unit square is area one and any other shape.
how do i find the Domain and Range in Inequality form
Answer:
Domain is the set of all x values, the independent quantity, for which the function f(x) exists or is defined.
Step-by-step explanation:
i just graphed it
Answer:
Domain:
[tex]x\in\mathbb{R}[/tex]
Range:
[tex]y\geq -5[/tex]
Step-by-step explanation:
The domain is the span of x-values covered by the graph, and the range is the span of y-values covered by the graph.
From the graph, we can see that the x-values covered by the graph will extend infinitely in both directions. Therefore, the domain of the graph is all real numbers.
We can't write this as an inequality, but we can write:
[tex]x\in\mathbb{R}[/tex]
For the range, we can see from the graph that the lowest y-value is y=-5. The graph doesn't go any lower than that. However, the graph will also cover all values greater than -5. Therefore, the range of the graph is all values greater than or equal to -5. In an inequality, this is:
[tex]y\geq -5[/tex]
Solve the equation. Check the solution. 10- 2x - 7 - 8x = 5
Answer:
x=-2
Step-by-step explanation:
Combine like terms:
10- 2x - 7 - 8x = 5
10-(-7)=10+7=17
2x-8x=-6x
17-6x=5
-17 -17
6x=-12
÷6 ÷6
x=-2
Answer:
-10x=2 so x=-5
Step-by-step explanation: