Answer:
A) - 13 < x < - 1
Step-by-step explanation:
1) Rewrite the inequality without the absolute value.
[tex] - 6 < x + 7 < 6[/tex]
2) Subtract 7 from the whole equation.
[tex] - 6 - 7 < x < 6 - 7[/tex]
3) Simplify.
[tex] - 13 < x < - 1[/tex]
Therefor, the answer is the first option.
Answer:
A) –13 < x < –1
Step-by-step explanation:
|x + 7| < 6
Separate into possible cases
[tex]x + 7 < 6 \\x +7 \geq 0[/tex]
Solve the inequalities
[tex]x < - 1, x \geq -7\\x > -13, x < -7[/tex]
Find the intersections
[tex]x = (-7, -1)\\x = (-13, -7)[/tex]
Find the union
Answer: A) –13 < x < –1
cool/3d18c3ab-98a2-4989-9e70-1d62f58e3bcf/Showitem?returnView=&studentItemid=0&backPath Question 3 of 17 A room has dimensions 10'6" X 14'. What is the perimeter of the room?
Answer:
Perimeter = 2*Length + 2*Width
= 2(10’6”) + 2(14)
= 21’ + 28’
= 49’
Step-by-step explanation:
3. Mass changes when gravitational force changes.
A. True
B. False
Answer:
B. False
Step-by-step explanation:
Mass doesn't change when gravitational force changes, but the weight does change.
Answer:
Step-by-step explanation:
True
hope that helps
mark me brill please
Given that angles ABC ~ DEF, solve for x and y.
What is the correct name for a 9-sided polygon?
decagon
octagon
nonagon
ninagon
Answer:
nonagon
Step-by-step explanation:
The correct name for a 9-sided polygon is nonagon.
Answer:
option c. nonagon
..............
Stats practice problem
Answer:
ummmm
Step-by-step explanation:
both of your images are blocked
X+3y=-2
3x+4y=-6
USE SYSTEMS BY SUBSTITUTION.
X=
Y=
Answer:
X=-2
Y=0
Step-by-step explanation:
X+y=-2 = x=-2-y
3x+4y=-6
3(-2-y)+4y=-6
-6-3y+4y=-6
y=0
x+3(0)=-2
x=-2
Answer:
[tex]\boxed {\boxed {\sf (-2,0)}}[/tex]
Step-by-step explanation:
To solve by substitution we must first isolate 1 variable in an equation.
Let's use the first equation.
[tex]x+3y= -2[/tex]
Subtract 3y from both sides to isolate the variable x.
[tex]x+3y-3y= -2 -3y[/tex]
[tex]x= -2 -3y[/tex]
Now we can substitute the expression (-2-3y) in for x in the second equation.
[tex]3x+4y= -6[/tex]
[tex]3(-2-3y)+4y= -6[/tex]
Distribute the 3. Multiply each term inside the parentheses by 3.
[tex](3*-2)+ (3*-3y)+4y=-6\\-6-9y+4y=-6[/tex]
Combine the like terms on the left side.
[tex]-6-5y= -6[/tex]
Add 6 to both sides to isolate the variable.
[tex]-6+6-5y=-6+6\\-5y=0[/tex]
Divide both sides by -5.
[tex]-5y/-5=0/-5 \\y=0[/tex]
Now we know that y is equal to 0 and can substitute it into the first equation and find x.
[tex]x+3(0)=-2[/tex]
[tex]x+0=-2 \\x= -2[/tex]
x is equal to -2 and y is equal to 0.
Q. work out the working capital Ratio:
cash at Bank 12000
stook. 18000
Debfors. 24000
Bills payable. 7000
creditors. 17000
cost of sales. 150000
> formula : working copital current Assets - current liabilities
Answer:
30,000
Step-by-step explanation:
The computation of the working capital is shown below:
As we know that
Working capital = current assets - current liabilities
where
Current assets = Cash at bank + stock + debtors
= 12,000 + 18,000 + 24,000
= 54,000
And, the current liabilities = bill payable + creditors
= 7,000 + 17,000
= 24,000
So, the working capital is
= 54,000 - 24,000
= 30,000
Johnny uses a mirror placed on level ground to measure the height of a building. Johnny's eyes are 6 feet above the ground and he stands 4 feet away from the mirror. From that distance, Johnny is able to see the top of the building in the mirror as shown in the diagram below.
If the mirror is 45 feet away from the building’s base, how tall is the building
please show step by step
Answer:
Step-by-step explanation:
θ = angle of incidence = angle of reflection
You have two similar triangles.
tanθ = 6/4 = h/45
h = 45×6/4 = 67.5 ft
The required height of the building is 67.5 feet.
Johnny uses a mirror placed on level ground to measure the height of a building. Johnny's eyes are 6 feet above the ground and he stands 4 feet away from the mirror. If the mirror is 45 feet away from the building’s base, how tall the building is determined.
What is the triangle?The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°
Since the two triangles are similar,
Let the height of the building is x.
The ratio of height and distance from the mirror Jhonny = height and distance of mirror from the building.
6/4=x/45
x = 11.25*6
x = 67.5
Thus, the required height of the building is 67.5 feet.
Learn more about triangles here:
https://brainly.com/question/2773823
#SPJ2
картопля містить 20 % крохмалю. скільки картоплі потрібно для одержання 12 кг крохмалю
Answer:
Для виготовлення 1 кг крохмалю потрібно 6 кг картоплі.Скільки крохмалю одержали з 30 кг картоплі. только пожалуйста условие задачи а не ее решение
Step-by-step explanation:
Find the value of x round to the nearest tenth
Answer:
sin 76 = 13/x
x=13/sin 76
x=13.3979771816
x=13.4
Jane is organizing a fundraiser to buy a ping-pong table for the community center. The table costs $500.00. Jane is asking contributors to pay for an equal share of the cost of the table. She already has five contributors lined up. What function models the cost per share, C, with respect to the number of new contributors, n? How many new contributors must Jane recruit in order for the cost of each share to be $20.00?
Answer: 20
Step-by-step explanation: 500\20=25 but she already has 5 contributors so take that off you total answer
Complete the equation of the line whose slope is -2 and y-(0,8)
Answer:
Equation: y = -2x + 8
Step-by-step explanation:
REMEMBER: The slope intercept form is y - mx + b. In slope intercept form, m is the slope and b is the y-intercept.
Part A
Which rule defines the function in the graph?
Answer:
c because yes
Step-by-step explanation:
trust me it's C
In a science experiment, Katrina needs to know the mass of a seed pod.
She measures the mass of 8 seed pods as 10.4g.
What is the mass of 1 seed pod?
Answer:
1.30g
Step-by-step explanation:
The mass of 8 seed pods is equal to 10.4g.
10.4g = 8 pods
Total mass / Total pods = Individual pod weight
10.4g / 8 pods = 1.30g per pod
Lets check our work to confirm:
1.30g x 8 pods = 10.4g
Find the value of x.
x
133°
133°
47°
[tex]\huge\underline\bold\blue{ƛƝƧƜЄƦ}[/tex]
Three angles are given to us and we all know that the sum of four sides of quadrilateral is 360⁰
so
133⁰ + 147⁰ + 47⁰ + x = 360⁰
x = 380⁰ - 367⁰
x = 13⁰
Hope it helps u
Solve the question below
Answer:
Step-by-step explanation:
Angle DAB = angle GAM =62°
How to solve -4-.2x+11=-.8x+10?
Answer:
x = 5
Step-by-step explanation:
-4-0.2x+11=7-0.2x=-0.8x+10
==>
0.6x=3
x=5
Question 2: Sarah is fencing a vegetable garden to keep rabbits out. The hardware store sells
fencing for $25.50/m. Her family has $165 to spend. What dimensions should Sarah use to build a
garden with the greatest area? Round all answers to 2 decimal places.
Answer:
circle with circumference of 6.47m
Step-by-step explanation:
1. $165/$25.50=6.47058823529m
2. she should use a circle because they have the greatest area, the circle should have a circumference of 6.47m.
Question 4 Multiple Choice Worth 1 points)
(05.02 LC)
Find the measure of angle x in the figure below
A - 65°
B - 70°
C - 110°
D - 125
Answer:
B because 180 - 55 +55 u get 70 due to opposite sides x us also 70
Answer:
x=180-55-55=180-110=70° is your answer
If fg(x) = 2x + 1, and f(x) = x + 2, find g(5) and g-'f'(1).
Answer:
g(5) - f(1) = 8
g(5) = 11
Step-by-step explanation:
Given:
g(x) = 2x + 1
f(x) = x + 2
Find:
g(5)
g(5) - f(1)
Computation:
g(x) = 2x + 1
g(5) = 2(5) + 1
g(5) = 11
f(x) = x + 2
f(1) = 1 + 2
f(1) = 3
g(5) - f(1) =11 - 3
g(5) - f(1) = 8
You buy a watch for $31.68, it includes a 5.6% sales tax. You received a discount of 40% off the original price. What is he original price?
Answer: Okay i think i got it: roughly $46.83
Step-by-step explanation:
Answer:
Its 50$ cause u gotta round up
Step-by-step explanation:
So basically just 31.68 times 5.6 as a decimal then do 60% because 100-40=60 and another step and you end up with 0.50 then jus times by 100
Dwayne's Tea Shop has caffeinated tea and decaffeinated tea. The tea
shop served 63 caffeinated teas and 27 decaffeinated teas. What
percentage of the teas served were caffeinated?Write your answer using
a percent sign (%).
I DONT WANT HOW TO DO IT JUST THE ANSWER
There were 5 girls to every boy that attended the Spring Semester Mixer last year. At this rate, how many attended the mixer if 150 girls attended the mixer,
Answer:
150:30
Step-by-step explanation:
It's essentially saying 5:1, 5 girls to one boy.
so with this in mind.
150:x
150/5
30
therefore
150:30
Answer:
30 boys attended the mixer. ( Wow 5 girls for a boy thats alot )
Step-by-step explanation:
1. Divide 150 girls by 5 ( 5 for every boy ) = 30 boys.
Thats it lol.
Btw can I have brainliest if I got it correct please?
4. What is the y-intercept of this equation?
y=7X-6
Answer:
-6
Step-by-step explanation:
[tex]y = 7x - 6 \\ \\ equating \: it \: with \\ \\ y = mx + b \\ \\ b = - 6 \\ y - intercept = - 6[/tex]
There are 60 mangoes, They are packed in 7 boxes. How many mangoes are there in each box and how many mangoes are left out?
Answer:
There are 4 mangoes left.
There are 8 mangoes in each box.
Step-by-step explanation:
60 / 7 (rounded) = 8
60 remainder 7 = 4
8 * 7 = 56
9 * 7 > 56
56 + 4 = 60
please mark me as brainliest
the median is the ____ of an ordered data set
A. end
B. the most occurrences of a number
C. middle
D. average
Answer:
C. middle
Step-by-step explanation:
Zac and Lynn are each traveling on a trip. So far, Zac has traveled 123.75 miles in 2.25 hours. Lynn leaves half an hour after Zac. So far, she has traveled 105 miles in 1.75 hours. Assume Zac and Lynn travel at constant rates.
Complete question is;
Zac and Lynn are each traveling on a trip. So far, Zac has traveled 123.75 miles in 2.25 hours. Lynn leaves half an hour after Zac. So far
she has traveled 105 miles in 1.75 hours. Assume Zac and Lynn travel at constant rates.
Let a represent the number of hours that have elapsed since Zac started traveling. Let y represent the number of miles traveled. Write a system of linear equations that represents the distance each of them has traveled since Zac left on his trip.
Assume Zac and Lynn continue to travel at the same constant rates and make no stops.
Determine the solution of the system of linear equations.
Answer:
Zac: y = 55a
Lynn: y = 60(a - ½)
6 hours after Zac started traveling, both Zac and Lynn would have covered 330 miles each.
Step-by-step explanation:
Zac has traveled 123.75 miles in 2.25 hours. Since he travels at constant speed, we can say;
zac's speed = 123.75/2.25 = 55 mi/hr
Similarly, Lynn traveled 105 miles in 1.75 hours. Thus, since she travels at a constant speed;
Lynn's speed = 105/1.75 = 60 mi/hr
Now, we are told that a represents the number of hours that have elapsed since Zac started traveling and y represents the number of miles traveled.
Thus;
a hours after Zac started travelling, his distance covered will be;
Zac: y = 55a
Now,for Lynn, since she started ½ an hour after Zac, it means a hours after Zac started, she had traveled (a - ½) hours.
Thus, Lynn's distance traveled after Zac started = 60(a - ½)
Lynn: y = 60(a - ½)
The solution will be when they have travelled equal distances a hours after Zac started. Thus;
55a = 60(a - ½)
55a = 60a - 30
60a - 55a = 30
5a = 30
a = 30/5
a = 6 hours
Putting 6 for a in y = 55a, we have;
y = 55 × 6
y = 330 miles
Find g(x), where g(x) is the translation 2 units right and 9 units down of f(x)=|x|.
Write your answer in the form a|x–h|+k, where a, h, and k are integers.
Answer:
g(x) = |x - 2| - 9
Step-by-step explanation:
Translations of a function f(x):
Translation of f(x) by a units to the right is given by f(x - a).
Translation of f(x) by a units to the left is given by f(x + a).
Translation of f(x) by a units down is f(x) - a
Translation of f(x) by a units up is f(x) + a
Find g(x), where g(x) is the translation 2 units right and 9 units down of f(x)=|x|.
2 units right: f(x - 2) = |x - 2|
9 units down: f(x - 2) - 9 = |x - 2| - 9
The answer is: g(x) = |x - 2| - 9
A store owner wants to prepare 100 lb of a candy mix that she will sell for $1.36 per lb. She mixes 20 lb of jelly beans that cost 20 cents per lb with sugar candies. How much does 1 lb of sugar candies cost.
Answer:
Fraction form:33/20 money:$1.65
Step-by-step explanation:
$0.2 + $x = %1.36
20 IB + 80 IB = 100 IB
Equation: 0.2*20+x*80=1.36*100
there fore the answer is 33/20
Answer:
33/20
Step-by-step explanation: