Isolate the absolute-value term:
2 |3x - 5| - 4 = 12
2 |3x - 5| = 8
|3x - 5| = 4
Recall the definition of absolute value:
[tex]|x| = \begin{cases}x & \text{if }x \ge0\\-x&\text{if }x<0\end{cases}[/tex]
We consider two cases:
• If 3x - 5 ≥ 0, then |3x - 5| = 3x - 5, and the equation resolves to
3x - 5 = 4
3x = 9
x = 3
• Otherwise, if 3x - 5 < 0, then |3x - 5| = -(3x - 5) = -3x + 5, hence
-3x + 5 = 4
-3x = -1
x = 1/3
If you invest $200 at an interest rate of 10%, how much money will you have after three years?
How would i find the IQR?
Answer:
well to find the interquartile range (IQR), first find the median (middle value) of the lower and upper half of the data. These values are quartile 1 (Q1) and quartile 3 (Q3). The IQR is the difference between Q3 and Q1.
explanation:
me is smart
Find the area of a circle with a diameter of 16.
Either enter an exact answer in terms of piπpi or use 3.14 for piπpi and enter your answer as a decimal.
Answer:
64π or 200.96
Step-by-step explanation:
The area of a circle is [tex]\pi r^2[/tex]. The radius of the circle is half the diameter, which is 16/2 = 8. The area of the circle is 64π.
Answer:
64π = area
200.96 = area
Step-by-step explanation:
Diameter = radius * 2
16 = 2r
radius = 8
Radius^2 * π = area
8^2 * π = area
64π = area
64*3.14 = area
200.96 = area
Hope this helped!!
What is the equation of the line x–3y=18in slope-intercept form?
Drag and drop the appropriate number, symbol, or variable to each box.
Response areaResponse areaResponse areaResponse areaResponse areaResponse area
What is the volume of a sphere when the diameter is 3 feet
Answer:
4.5π
Step-by-step explanation:
Sphere Volume formula =4/3πr^3
Radius = Half diameter
4/3 * π * 1.5^3 = approximately 4.5π
Hope this helps :)
Have a nice day!
i need help (please help me)
Amelie spins the following spinner, which has 10 equally sized spaces numbered 1 through 10. The numbers 1 and 7 are colored blue; the numbers 2, 4, and 6 are red; and the numbers 3, 5, 8, 9, and 10 are green.
A spinner as described in the text.
What is the probability that Amelie spins either an odd number or a red number?
Enter your answer as a reduced fraction, like this: 3/14
Step-by-step explanation:
It's 4/5 as a reduced fraction.
Mariana gave the cashier $20 to pay for 3 t-shirts. The cashier gave her $5. 03 in change. Each t-shirt cost the same amount. What was the cost in dollars and cents for each t-shirt?
Amy is standing 70 meters from the base of the Washington Monument in Washington, DC. She estimates that the angle of
elevation to the top of the building is 60°. One of her friends is at the top of the building. What is the distance between Amy and
her friend? (Assume the monument meets the ground at a right angle.)
Answer:
140m
Step-by-step explanation:
use the forMula SOHCAHTOA cos x=adjacent/hypotenuse. cos 60=70/hypotenuse. hyp=70/cos 60. =140m away
WILL GIVE BRAINLIEST IN NEXT 30 MINUTES
one side of a rectangle is 7 inches longer than another side. If the longer side of this rectangle decreases by 3 inches, and the shorter side increased by 2 inches, the area of the new rectangle equals the area of the original rectangle. Find the dimensions of the original rectangle.
Answer:
The length is 15 and the width is 8
Step-by-step explanation:
Use this formula to find what the dimensions are. x is the length of the shorter side while (x+7) is the length of the longer side:
(x+7)(x) = ((x+7)-3)(x+2)
x = 8
(8+7)(8) = ((8+7)-3)(8+2)
15(8) = (15-3)(10)
120 = 12(10)
120 = 120
The length is proved 15 and the width is proved 8.
The number a is less than the number b by 1/5 of b. By what part of a is b greater than a?
Answer:
b is greater than a by 1/4 of a
Step-by-step explanation:
The statement “The number a is less than the number b by 1/5 of b”
means “if we subtract one fifth of b from b itself we get a”
we write this mathematically like this :
[tex]a=b-\frac{b}{5}[/tex]
_________
[tex]\rightarrow a = \frac{5b-b}{5} =\frac{4b}{5}[/tex]
[tex]a=\frac{4b}{5} \Longrightarrow 5a=4b[/tex]
[tex]5a=4b\Longrightarrow b=\frac{5a}{4}[/tex]
[tex]\Longrightarrow b=\frac{5a}{4} =\frac{4a+a}{4}=\frac{4a}{4}+\frac{a}{4}=a+\frac{a}{4}[/tex]
Answer:
0.25
Step-by-step explanation:
What is the perimeter of a shape?
Perimeter is the combined ammount of all the sides added together.
For example, if a square has sides of 4, it would be 16 because 4+4+4+4 = 16 units.
Answer:
Perimeter is the total distance around the outside of a shape.
Step-by-step explanation:
A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length. The perimeter of a circle or an ellipse is called its circumference. Calculating the perimeter has several practical applications. A calculated perimeter is the length of fence required to surround a yard or garden. The perimeter of a wheel/circle (its circumference) describes how far it will roll in one revolution. Similarly, the amount of string wound around a spool is related to the spool's perimeter; if the length of the string was exact, it would equal the perimeter.
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Hope it helps you :)
pls mark brainleist :P
`
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Tori
The dimensions of a
Blue
rectangular pyramid are shown in
the diagram. What is the volume
of the pyramid in cubic meters?
Answer:
8 cubic meters
Step-by-step explanation:
Formula for the volume of a rectangular pyramid:
[tex]V=\frac{lwh}{3}[/tex]
Take note
[tex]l=[/tex] base length
[tex]w=[/tex] base width
[tex]h=[/tex] pyramid height
We are given [tex]l[/tex], [tex]w[/tex], and [tex]h[/tex].
Lets solve for [tex]V[/tex]
[tex]l=3[/tex]
[tex]w=2[/tex]
[tex]h=4[/tex]
Now plug in our numbers into the formula:
[tex]V=\frac{3*2*4}{3}[/tex]
Evaluate the numerator
[tex]3*2*4=24[/tex]
Then we have
[tex]V=\frac{24}{3}[/tex]
Simplify and we get:
[tex]V=8[/tex]
What is 1+2_#_+#+#+#+3?
Answer:
Noice
Step-by-step explanation:
The radius of a circle is 2.9 in. What is the circumference to the nearest tent to the nearest tenth?
Answer:
18.2
Step-by-step explanation:
A square is circumscribed about a circle with a diameter of 10 cm. What is the correct set up to find the area of the shaded region?
Answer:
21.5 cm² (nearest tenth)
Step-by-step explanation:
FormulaeArea of a square = x² (where x is the side length)Area of a circle = πr² (where r is the radius)Radius = 1/2 diameterSolutionTo find the shaded region, subtract the area of the circle from the area of the square.
Square
Area of the square = 10² = 100 cm²
Circle
Given diameter of circle = 10 cm
⇒ radius = 10 ÷ 2 = 5 cm
⇒ Area of the circle = π · 5² = 25π cm²
Area of shaded region
= area of square - area of circle
= 100 - 25π
= 21.46018366...
= 21.5 cm² (nearest tenth)
Consider this function.
f(x)=2x-2Which graph represents the inverse of function ?
>
у
54
sX
5
4
+
3+
3-
2
N
2
2
2
3
4
-2
3
-1
-1
-2 +
-2+
-37
-3
Answer:
the first graph
Step-by-step explanation:
the inverse function is(x+2)/2
therefore,2 points on the graph are
(0,1),(-2,0)
Find the area 7cm. 20cm. 11cm. 14cm. ( will mark brainlest)
Answer:
217
Step-by-step explanation:
we split the shape into 2 different rectangles and find the sum of their area.
small rectangle: 7 × 11 = 77
large rectangle 7 × 20 = 140
140 + 77 = 217
Answer:
[tex]A_{total} = 217\ cm^2[/tex]
Step-by-step explanation:
Step 1: Determine the area of the bottom rectangle
[tex]A = l * w[/tex]
[tex]A = 14\ cm * 11\ cm[/tex]
[tex]A = 154\ cm^2[/tex]
Step 2: Determine the area of the top rectangle
[tex]A = l * w[/tex]
[tex]A = 7\ cm * (20\ cm - 11\ cm)[/tex]
[tex]A = 7\ cm * 9\ cm[/tex]
[tex]A = 63\ cm^2[/tex]
Step 3: Determine the total area
[tex]A_{total} = 154\ cm^2 + 63\ cm^2[/tex]
[tex]A_{total} = 217\ cm^2[/tex]
Answer: [tex]A_{total} = 217\ cm^2[/tex]
Camilo uses 32 ounces of filling to make empanadas de quest. He puts 0 empanadas on each of the 3 trays. write a fraction to show how many ounces of filling Camilo uses in each empanadas
The division is one of the four fundamental arithmetic operations. The filling that Camilo uses in each tray is 10.667 ounces.
What is Division?Division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.
The total filling that was available with Camilo is 32 ounces, which he put in three different trays equally. Therefore, the filling available in each tray is equal to,
[tex]\rm \text{Filling in each tray} = \dfrac{\text{Total Filling}}{\text{Number of tray}}\\\\\text{Filling in each tray} = \dfrac{32\ ounces}{3} = 10.667 ounces[/tex]
Hence, the filling that Camilo uses in each tray is 10.667 ounces.
Learn more about Division:
https://brainly.com/question/369266
#SPJ1
Answer: 4/3
Step-by-step explanation:
8 x 3 = 24
32/24
= 4/3
Use the function below to find F(3).
F(x) = 3x
O A. 27
OB. 81
O C. 9
OD. 6
Answer: 27
Answer:
C
Step-by-step explanation:
If the function equation is F(x)=3x. You just plug in the 3 from F(3) in for the x.
F(x)= 3x
↓
F(3)=3(3)
F(3)=9
A truck driver drives 245 miles and needs to drive m miles in all. Write an equation for the number of miles d the driver has left to drive
Answer:
245 + d = m :)
Step-by-step explanation:
We have how many miles they have already driven, 245. We need to find how many miles until he reaches m :)
Have an amazing day!!
Please rate and mark brainliest!!
Please help, select all that apply
Answer:
Answer is
B. (Related with F)
C. (Related to the number of cars)
D. (Related with F)
F.
Hope it helps
BYE
Solve the following please:
Answer:21
Step-by-step explanation: solve whats in the numerator then solve whats in the denominator then you divide
maths equation i need help with
Answer:
2^11 * 3^3 * 5^6.
Step-by-step explanation:
c = 2^10 * 3 * 5^6
18c = 2^10 * 3 * 5^6 * 18
= 2^10 * 5*6 * 54
= 2^10 * 5^6 * 2 * 27
= 2^10 * 5^6 * 2* 3^3
= 2^10 * 2 * 3^3 * 5^6
= 2^11 * 3^3 * 5^6
What is the slope of the line that passes through the points (7, -6) and (6, -6)? Write your answer in simplest form.
Undefined
Solution:Notice that the x-coordinates of the points that the line intersects are the same.If the x-coordinates are the same, then the slope is undefined.If the slope is undefined, then the line's run is equal to 0 units.Remember the slope formula: Rise/RunRise - how many units we move up or downRun - how many units we move left or rightIf the run is zero, then we basically divide by zero, which we can't do.Hope it helps.
Do comment if you have any query.
46/154 to a percentage
Answer:
29.87%
Step-by-step explanation:
46/154 = 0.2987013
29.87 (move the decimal 2 places to the right. :)
Hope this helped!
I promised to do my gfs homework but I'm mostly clueless someone help pls
Answer:
Read Step by step
Step-by-step explanation:
For number 5. This is the Transitive property because they mirror each other.
for 3, this is the symmetric property as they are split by a single shared line and they are both of equal properties.
[please answer asap!! :) limited amount of time and will give brainliest or whatever it’s called!!]
The length of each side of an equilateral triangle is increased by 5 inches, so the perimeter is now 60 inches. Write and solve an equation to find the original length of each side of the equilateral triangle.
Please help me with this question.
Answer:
12/60 (1/5)
Step-by-step explanation:
9+15+24+12= 60 total
There are 12 purple.
12/60
12 / 12 = 1
60 / 12 = 5
please let me know if my math is correct, which it should be but just to make sure
Please help me
I will give
BRAINLY
5 STARS
and a THANKS
Answer:2 + 0.2n + 8/10. This will be your correct answer.
Step-by-step explanation:
if the cp of 10 bag is equal to sp of 12 bag find the profit Or loss percent
Answer:
you gained 20%
Step-by-step explanation:
hope this helps x