Answer:
answers are below
Step-by-step explanation:
a. -6 ≤ 3x < 15
steps in order to solve:
-6 ≤ 3x
= -6/3 ≤ 3x/3
= -2 ≤ x
3x < 15
= 3x/3 < 15/3
= x < 5
=> -2 ≤ x < 5
b. -3 < 2x - 1 < 7
steps in order to solve:
-3 < 2x - 1
= 1 - 3 < 2x - 1 + 1
= -2 < 2x
= -2/2 < 2x / 2
= -1 < x
2x - 1 < 7
= 2x - 1 + 1 < 7 + 1
= 2x < 8
= 2x/2 < 8/2
= x < 4
=> -1 < x < 4
c. 7 < -3n + 1 ≤ 13
steps in order to solve:
7 < -3n + 1
= -1 +7 < -3n + 1 - 1
= 6 < -3n
= 6/-3 < -3n/-3
= -2 > n
-3n + 1 ≤ 13
= -3n + 1 - 1 ≤ 13 -1
= -3n < 12
= -3n/-3 < 12/-3
= n > -4
=> -4 < n < -2
graphs are below.
hope this helps and is right :)
A slide at a children's park is 74 inches tall in the horizontal distance The slide covers is 70 inches what is the angle measures created by the slide and the ground
Answer:
46.6°
Step-by-step explanation:
A slide at a children's park is 74 inches tall in the horizontal distance The slide covers is 70 inches what is the angle measures created by the slide and the ground
We solve the above question using Trigonometric function of Cosine.
tan x = Opposite/Adjacent
x = The angle
Hypotenuse = Slide covers = 70 inches
Adjacent = 74 inches
tan x = 74/70
x = arc tan (74/70)
x = 46.591140271°
Approximately = 46.6°
Please help me with number 16 it’s 5th grade math so it should be easy
Answer:
A. you won't have enough
1/8 x 6 = 6/8 of a teaspoon
you have 2/3 teaspoon of black pepper set it equal and get a common denominator
6/8 = 2/3 ---------------> 18/24 = 16/24 so you dont have enough
The least common denominator is the least common multiple of the _______ of the factions fill in the blank
Work out the length x.
4.5 cm
11 cm
Answer:
12.3
Step-by-step explanation:
A^2 + B^2 = C^2
11^2 + 4.5^2 = C^2
132 + 20.25 = C^2
152.25 = C^2
Square root of 152.25 = 12.3
It costs $5.44 for a pack of 16 pens. Find the unit price in dollars per pen. Round your answer to the nearest cent
$3.68 for 16 pens
$3.68 per 16 pens
($3.68) / (16 pens)
$0.23 / (1 pen)
$0.23 / pen
$0.23 per pen
I am not 100% sure sorry
Regular - $0.34
Rounded- $0.30
Explanation:
to find unit rate, set up the problem like a fraction. put the total cost on top, and the number of pens in a pack on bottom. Divided by the number of pens in the pack, which is 16. The answer will be the unit rate.
FOR EXAMPLE:
5.44/16 DIVIDED BY 16.
on the bottom you would get one because 16 divided by 16 is one. And on the top it would be 5.44 divided by 16 which is $0.34.
Two vectors with magnitudes of 6 and 9 have a dot product equal to –27. Find the angle between the vectors.
Answer:
120°
Step-by-step explanation:
From the question,
The expression for the dot product of two vector is given as
a.b = abcosθ................... Equation 1
make θ the subject of the equation
θ =cos⁻¹ (a.b/ab)......................... Equation 2
Where θ = angle between the vector.
Given: a.b = -27, a = 6, b = 9
Substitute these values into equation 2
θ = cos⁻¹[-27/(6×9)]
θ = cos⁻¹(-27/54)
θ = cos⁻¹(-0.5)
θ = 120°.
Hence the angle between the vector is 120°
Answer:
B
Step-by-step explanation:
Edge 2021
3x < 15
What’s the answer?
Answer:
x<5
Step-by-step explanation:
3x < 15
get x by itself, divide by 3 on both sides
x<5
hope this helps :)
Answer:
x<5
Step-by-step explanation:
3x<15
Divide both sides by 3.
3x/3 < 15/3
x<5
Julio esta interesado en adquirir un nuevo teléfono celular el cual cuesta $3,200 en la tienda le ofrecen un 15% de descuento si lo compra de contado ¿cuando sería el precio con descuento para julio?
Answer:
$2720
15%= 480
3200-480=
$2720
HELP ASAP PLS MY MATH TEACHER IS HER
Answer:
b
Step-by-step explanation:
5 faces 6 vertices goodluck
Answer:
second answer
Step-by-step explanation:
Find the area of the shaded polygons
Answer:
Is there a picture?
Step-by-step explanation:
b(1)= -12
b(n)=b(n−1)⋅4
Find the 3rd term of the sequence. Show me the solutions and calculations.
Given:
[tex]b(1)=-12[/tex]
[tex]b(n)=b(n-1)\cdot 4[/tex]
To find:
The third term of the sequence.
Solution:
We have,
[tex]b(n)=b(n-1)\cdot 4[/tex]
For n=2, we get
[tex]b(2)=b(2-1)\cdot 4[/tex]
[tex]b(2)=b(1)\cdot 4[/tex]
[tex]b(2)=-12\cdot 4[/tex] [tex][\because b(1)=-12][/tex]
[tex]b(2)=-48[/tex]
For n=3, we get
[tex]b(3)=b(3-1)\cdot 4[/tex]
[tex]b(3)=b(2)\cdot 4[/tex]
[tex]b(3)=-48\cdot 4[/tex] [tex][\because b(2)=-48][/tex]
[tex]b(3)=-192[/tex]
Therefore, the 3rd term of the sequence is -192.
Last year, a computer store sold 200 laptops at the price of $1,000 per laptop. The store manager is planning for the upcoming year. She creates the graph
shown below of the projected revenue from the sales of laptop computers for next year depending on the price increase per laptop.
Answer:
The maximum revenue of $225,000 occurs when the laptops are priced at $1,250.
Step-by-step explanation:
The vertex of the parabola shows that; maximum revenue of $225,000 occurs when the laptops are priced at $1,250.
What does the vertex of the parabola represent?We are given a graph titled projected laptop revenue based on price with price increase per laptop on the x-axis and total revenue from laptop sales on the y-axis.
Now, the vertex of the parabola is the peak of the parabola and from the coordinates on the graph, we can conclude that maximum revenue of $225,000 occurs when the laptops are priced at $1,250.
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Brian is mowing his lawn. He and his family have 7.84 acres. Brian mows 1.29 1 acres on Monday, 0.85 acres on Tuesday, and 3.63 acres on Thursday. How many acres does Brian have left to mow? * 0 2.70 0 20.7 02.07 O 0.207
Answer:
2.07
Step-by-step explanation:
I DID IT ON A CALCULATOR
The area of a 2D form is the amount of space within its perimeter. The area that is needed to be mowed by Brian is 2.07 acres.
What is an area?The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm2, m2, and so on. To find the area of a square formula or other quadrilateral, multiply its length by its width.
The total area that is needed to mow is 7.84 acres. Given that Brian mows 1.291 acres on Monday, 0.85 acres on Tuesday, and 3.63 acres on Thursday. Therefore, the area already mowed by Brian can be written as,
[tex]\rm \text{The area already mowed by Brian} = 1.291 + 0.85 + 3.63= 5.771\ acres[/tex]
The area that is left to mow = Total area - Area already mowed by Brian
= 7.84 - 5.771
= 2.069 acres ≈ 2.07 acres
Hence, the area that is needed to be mowed by Brian is 2.07 acres.
Learn more about Area:
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EASY 7TH GRADE MATH QUESTION!!! FIRST PERSON MARKED BRAINLIEST!!! PLEASE ANSWER QUICKLY AND CORRECTLY!!
Answer:
D or the 4th answer choice.
Step-by-step explanation:
Put simply, id f(x) equals x, and g(x) is shown three points above f(x) the answer is D or the 4th answer choice.
Alice purchased a compass from an online retailer. The cost of the compass was $60.00, and was marked 40% off. Sales tax for the item is 7.5%, plus a shipping fee of $5.99. What is the final price, including discount, tax and shipping?
Answer:
$60.00 * 1.075 * .6 + 5.99 = $44.69
when you have multiple fees and discounts and taxes and whatever else, you should follow the order of all operations. multiplication and division before addition and subtraction, and so on.
Step-by-step explanation:
For discount and sales tax you multiply, and for shipping you just add the fee. We will save shipping for last since it doesn't effect the discount or tax. Meanwhile you could apply the discount and tax in any order.
To apply a discount you take the price and multiply by 1 minus the percent in decimal form. decimal form of a percent is basically the number divided by 100. so 40% = .4 then 1 - .4 = .6
to apply a ttax you multiply 1 plus the percent in decimal form. tax is 7.5% so in decimal form that's .075 then 1 plus the tax is 1.075
so now you multiply 60 * .6 * 1.075 and also remember 60 * .6 * 1.075 = 60 * 1.075 * .6 but the answer is $38.70
Now add the shipping, so 38.70 + 5..99 = $44.69
barbra has two cherry pies.She cuts each pie into quarters.How many slices of cherry pie does barbra have
Ok so you have 2 pies.
You can cut into quarters which is 4 slices in 1 pie.
Than you can do 4 slices x 2 pies which means you have 8
Which graph represents the equation x=2?
Answer:
1)
Step-by-step explanation:
In the line that is the graph of equation x = 2, every ordered pair has 2 as its x-coordinate. That means it's a vertical line that passes through x = 2 on the x-axis.
Answer: 1)
The graph option 1) is the correct answer.
What is an equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
Given is an equation, x = 2
We see x intercept is 2 and there is no y intercept,
We know when x = a then the line is always parallel to y-axis and here x intercept is 2 therefore the line will pass through 2 on x-axis.
In graph 1) The line is passing through 2 on x-axis and is parallel to y-axis.
Hence, The graph option 1) is the correct answer.
For more references on equations, click;
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WILL GIVE BRAINLIEST Find the solution of the system of equations.
−x−3y= −3
x−6y= −24
Can someone help and tell me the right answer? Also od the first answer is wrong because I’ve submitted it once already and it was wrong also this is my only and last chance I’ll mark you brainlist after u explain why btw please and ty!
Answer:
It is 1/8 ask your teacher to fix it because 3/4 divided by 6 is 1/8
Step-by-step explanation:
Please Find X in this triangle.
Answer:
[tex]x = \frac{\sqrt{6}}{3}[/tex]
Step-by-step explanation:
Step 1: Using tan to get the value of the side x
[tex]tan(30) = \frac{x}{\sqrt{2}}[/tex]
[tex]\sqrt{2}*tan(30) = x[/tex]
[tex]\frac{\sqrt{6}}{3}=x[/tex]
Answer: [tex]x = \frac{\sqrt{6}}{3}[/tex]
What is the highest common factor of 36 and 56???
Answer:
4
Step-by-step explanation:
Greatest common factor (GCF) of 36 and 56 is 4.
Step-1: Prime Factorization of 36
Prime factors of 36 are 2, 3. Prime factorization of 36 in exponential form is:
36 = 2^2 × 3^2
Step-2: Prime Factorization of 56
Prime factors of 56 are 2, 7. Prime factorization of 56 in exponential form is:
56 = 2^3 × 7^1
Step-3: Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18
Step-4: Factors of 56
List of positive integer factors of 56 that divides 36 without a remainder.
1, 2, 4, 7, 8, 14, 28
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 36 and 56. The biggest common factor number is the GCF number.
So the greatest common factor 36 and 56 is 4.
The highest common factor of 36 and 56 is 4 after using division algorithm, the answer is 4.
What is LCM?It is defined as the common number of two integers, which is the lowest number that is a multiple of two or more numbers. The full name of LCM is the least common multiple.
It is given that:
The two numbers are: 36 and 56
As we know GCF means highest common factor, the factor which presents the in both numbers:
The GCF(36, 56) can be found using the Division Lemma:
56 = 36x1 + 20
36 = 20x1 + 16
20 = 16x1 + 4
16 = 4x4 + 0
The value of GCF(36, 56) :
GCF(36, 56) = 4
Thus, the highest common factor of 36 and 56 is 4 after using division algorithm, the answer is 4.
Learn more about the LCM here:
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subtract 13 upon 15 from 1
a cyclist covers a distance of 15km in 2hours calculate his speed
Answer:
7.5km/h
Step-by-step explanation:
Given data
Distance= 15km
Time = 2 hours
We know that the expression for the speed is
Speed= distance/time
Substitute
Speed= 15/2
Speed= 7.5 km per hour
Hence the speed is 7.5km/h
The product of 0.014 and 100,000 is
_ ...
because the decimal point in 0.014 moves
_ ...
places to the right.
Answer:
5
Step-by-step explanation:
In the case when we multiplied 0.014 by 100,000 so it comes
= 0.014 × 100,000
= 1,400
Since The value 0.014 were times by 5 zeros.
Therefore the decimal point would move 5 places to the right
Can someone please help me graph y= -2x+7
Answer:
y = mx + b
Slope of a line
Step-by-step explanation:
m = -2
b = 7
(0,7)
x^2 - 20x + 100
What is the degree of this polynomial?
Answer:
2nd
Step-by-step explanation:
the highest exponent value is the degree.
if I had [tex]x^{6} x^{2} x^{-7}[/tex] , the degree would be 6.
please help rn thanks
9514 1404 393
Answer:
(b) (1, 1/6)
Step-by-step explanation:
The "unit rate" is always the y-value for x=1 when the relationship is proportional (as it is here).
That point is not specifically shown on the graph. It would be (1, 1/6).
Pls help. I really need lol
Answer:
3x+9+4x+×
8x+9
Step-by-step explanation:
3x+9+4x+x
( ) to isolate the 9
3x (9) +4x+x
3+4+1=8 then slap on the X which equals to 8×+9
Use the distance formula to calculate the distance between the following two points:
(-1,1) and (4, 11)
The distance between the two points is approximately
units.
Answer:
d = 11 units if rounded to nearest whole number
Step-by-step explanation:
Distance formula:
d=√((x_2-x_1)²+(y_2-y_1)²)
Your ordered pairs (-1, 1) and (4, 11)
d=√((4-(-1))²+(11-1)²)
d=√((4+1))²+(10))²)
d=√((5)²+ 100)
d = √125
d = 11.18
d = 11 units if rounded to nearest whole number
someone let me knoww