Answers
Answer:
a>4 or a < 8
Step-by-step explanation:
We can start with the inequality on the left
-a + 2(4+3a) > 28
expand using the distributive property
-a + 8 + 6a > 28
5a + 8 > 28
subtract 8 from both sides to isolate the variable and its coefficient
5a > 20
divide both sides by 5 to isolate a
a > 4
moving on to the inequality on the right
2a - (3a+4) > -12
treat the minus sign as a -1
2a + (-1)(3a+4) > - 12
expand
2a - 3a - 4 > - 12
-a - 4 > -12
add 4 to both sides to isolate a and its coefficient
-a > - 8
multiply both sides by -1 but change the sign because we are multiplying by a negative number
a < 8
Related Questions
which one weighs more a watermelon that weighs 1.7 kilograms or a pumpkin that weighs 12 pounds?
Answers
Answer : pumpkin that is 12 pounds
Step - by - step explanation :
First, convert . . . what is 1.7 kilograms as pounds ? 3.74786 ( rounded is 4 pounds )
Second, compare . . . 4 < 12
Hope this helped ! :>
4.8 multiplied to 10 to the power -9
Answers
Answer:
000000004.8
Hope it help!
Rationalize the denominator
Answers
Answer:
[tex]\huge\color{purple}\boxed{\colorbox{black}{Answer♡}}[/tex]
[tex] \frac{2}{ \sqrt{7} - 1} \\ = > \frac{2}{ \sqrt{7} - 1} \times \frac{ \sqrt{7} + 1}{ \sqrt{7} + 1} \\ = > \frac{2( \sqrt{7} + 1)}{ \sqrt{7} {}^{2} - 1 {}^{2} } \\ = > \frac{2 \sqrt{7} + 2}{7 - 1} \\ = > \frac{2( \sqrt{7} + 1)}{6} \\ = > \frac{ \sqrt{7} + 1}{3} [/tex]
———————————————[tex]\color{red}\boxed{\colorbox{skyblue}{Additional Information~}}[/tex]
Here..Step 3 contains the algebraic identity( a + b ) × ( a - b ) = a² - b²
Also.. in the very last step ,we earlier had 2 multiplied to rest of the numerator and 6 in the denominator..
we simply divided both the numerator as well as denominator by 2 and hence got the result obtained.
hope helpful~
~Be Brainly!~Exhausted Zombie16 =
ОА. 4
ОВ. 3
ОС. 8
O D. 6
Answers
Answer:
A. 4
Step-by-step explanation:
I hope this helps you!!!
The path of a ball thrown can be modeled by the equation f(x)=−16x^2+45x+6, where x is the horizontal distance. Use a transformation to create a new model in which the ball is thrown twice as far. What is the new equation, what is the transformation, and how did you pick this?
Answers
Answer:
g(x) = -4x^2 +(45/2)x +6
Step-by-step explanation:
A function is scaled horizontally by replacing x with x/k, where k is the expansion factor. Here, we want to expand the graph horizontally by a factor of 2, so the new function will be f(x/2).
g(x) = f(x/2) = -16(x/2)^2 +45(x/2) +6
g(x) = -4x^2 +(45/2)x +6
Light intensity (I) is proportional (a) to the inverse square of distance (d) of a subject from a light
source. The relationship in intensities for subjects at different distances from the same source can
be likewise seen as a ratio or proportional relationship.
I x
A proportional relationship can be mathematically expressed as follows for light intensity (I) in
lumens when a subject is at the light source.
Lumens at current distance
Lumens at origin or source
So, if a light intensity (I) is 516 lumens at the source and 4 lumens at a specific distance from the
source, what is that distance?
Round the value to the nearest tenth if necessary. You do not need to include a label for distance.
Only the number, rounded to the tenth, will be necessary.
Answers
The required distance is 11.4 rounded to the tenth
If light intensity (I) is proportional (a) to the inverse square of distance (d) of a subject from a light source, this is expressed as:
l = ka/dk is the variation constant
If a light intensity (I) is 516 lumens at the source and 4 lumens at a specific distance from the source, the distance is calculated as:
l = a/d²
d² = a/l
d² = 516/4
d = √129
d = 11.4
Hence the required distance is 11.4 rounded to the tenth
Learn more on inverse variation here:https://brainly.com/question/13998680
2
Select the correct answer
What is the sum of the first 28 terms of this arithmetic sequence?
69, 75, 81, 87, 93, 99,...
A. 2,436
B. 4,200
C. 4,320
D. 4,368
Answers
Answer:
B. 4200
Step-by-step explanation:
A suitable calculator can add the terms for you. (See attached)
__
The first term is 69, and the common difference is 75-69 = 6. The general term is ...
an = a1 +d(n -1)
an = 69 +6(n -1)
Then the 28th term is ...
a28 = 69 +6(27) = 231
The average term is (a28 +a1)/2 = (231 +69)/2 = 150.
The sum is the number of terms multiplied by the average term:
sum = 28×150= 4200
Find the equation of the line that goes through ( 2, 4 ) and ( 4, 6 ).
Answers
Answer:
y=x+2
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(6-4)/(4-2)
m=2/2
m=1
y-y1=m(x-x1)
y-4=1(x-2)
y=x-2+4
y=x+2
What three consecutive numbers add up to 75?
Answers
Answer:
24,25,26
Step-by-step explanation:
Answer:24, 25, 26
Step-by-step explanation:
Divide the 75 by 3 because that is how many numbers you need. Then subtract 1 to get 24, add 1 to get 26, and also use 25.
Transversal cuts parallel lines and as shown in the diagram, and m∠4 = 55.1°. What are m∠5 and m∠7? A. m∠5 = 34.9°, and m∠7 = 145.1°. B. m∠5 = 55.1°, and m∠7 = 34.9°. C. m∠5 = 124.9°, and m∠7 = 55.1°. D. m∠5 = 55.1°, and m∠7 = 124.9°. E. m∠5 = 34.9°, and m∠7 = 55.1°.
Answers
Answer:
m < 5 = 55.1 i think im not forsure
Step-by-step explanation:
Whenever the Transversal EF intersects parallel line AB and CD, the values of m∠5 and m∠7 are 55.1° and 124.9°, respectively.
What is an angle?An angle results from the intersection of two lines at a point. The term "angle" describes the width of the "gap" that exists between these two rays. It's represented by the symbol.
Angles are most frequently measured in degrees and radians, a measurement of roundness or rotation. Angles are a part of everyday existence.
As per the information provided in the question,
Since the transverse line, EF, intersects the line segment AB and CD, it creates equivalent, alternate, and other angles.
As a result, the m∠5 and m∠7 are as follows:
First, supplementary angles ∠5 and ∠7 are present. Since they add up to 180 degrees, they are equal.
Since alternate angles are equivalent, ∠5 is an alternative angle to ∠4. Therefore,
m∠5 ≅ m∠4
m∠5 = 55.1°
So,
m∠5 + m∠7 = 180°
55.1 + ∠7 = 180
∠7 = 180 - 55.1
m∠7 = 124.9°
To know more about an angle:
https://brainly.com/question/28451077
#SPJ2
I need some help with this.
Answers
I only solved #53 , it is inverse.
24 % of 175 calculate this
Answers
Answer:
24/100x175 = 42
Step-by-step explanation:
24/100x175 = 42
yler’s brother earns a commission. He makes `2.5\%` of the amount he sells. Last week, he sold `\$9,000` worth of shoes. How much was his commission?
Answers
Last year, the ratio of the ages of Mel and her friend is 3:4. Next year, the ratio will be 4:5. Form two simultaneous equations using the information above, and solve them by using the elimination method. Hence find their ages now.
Answers
Answer:
Above is the answer, coupled with detailed step-by-step explanations. Thank you!
x^2-x+2=0
Please use the quadratic formula
Answers
Answer:
[tex]\boxed{\sf x=\cfrac{1\pm \sqrt{-7} }{2}}[/tex]
Step-by-step explanation:
[tex]\sf x^2-x+2=0[/tex]
Use quadratic formula:
[tex]\boxed{\sf \frac{-b\pm \sqrt{b^2-4ac}}{2a}}[/tex]
[tex]\sf a=1, b=-1, c=2[/tex]
___________________________
[tex]\sf x_1,_2=\cfrac{-\left(-1\right)\pm \sqrt{\left(-1\right)^2-4\times \:1\times \:2}}{2\times \:1}[/tex]
[tex]\sf \sqrt{\left(-1\right)^2-4\times \:1\times \:2}[/tex][tex]\sf =\sqrt{-7}[/tex]_________________
[tex]\sf x_1,_2\cfrac{-\left(-1\right)\pm \sqrt{-7}}{2\times \:1}[/tex]
[tex]\sf -(-1)=1[/tex][tex]2\times 1=2[/tex][tex]\sf x_1,_2=\cfrac{1\pm \sqrt{-7} }{2}[/tex]
_______________________________________
Learn more: brainly.com/question/22286698
ANSWER. Robert takes a roast out of the oven when the temperature of the roast is 165 F. After 15 minutes, the temperature of the roast drops to 135 F. The temperature of the room is 70 F. How long does it take for the temperature of the roast to drop to 110 F?
ANSWER IS 34
Took the test :)
Answers
9c+4=-23 solve for x
Answers
9x = -23 - 4
9x = -27
x = -27/9
x = -3
ANSWER: x = -3
Ok done. Thank to me :>
The base of a triangle is V75 cm and its height is V12 cm. Find its area.
Answers
Answer:
450 cm area
Step-by-step explanation:
Formula 1/2*b*h
1/2*75*12cm
1/2*900
1*450cm
450 is area PLEASE MARK BRAINLIEST :))
The diagonal of a square is 8 cm.
What is the length of the side of this square?
Give your answer as an exact surd in its simplest form
Answers
the length of the side of this square is [tex]4\sqrt{2} \:or \:5.65[/tex]cm
Answer:
Solutions Given:
let diagonal of square be AC: 8 cm
let each side be a.
As diagonal bisect square.
let it forms right angled triangle ABC .
Where diagonal AC is hypotenuse and a is their opposite side and base.
By using Pythagoras law
hypotenuse ²=opposite side²+base side²
8²=a²+a²
64=2a²
a²=[tex]\frac{64}{2}[/tex]
a²=32
doing square root on both side
[tex]\sqrt{a²}=\sqrt{32}[/tex]
a=±[tex]\sqrt{2*2*2*2*2}[/tex]
a=±2*2[tex]\sqrt{2}[/tex]
Since side of square is always positive so
a=4[tex]\sqrt{2}[/tex] or 5.65 cm
Answer:
Given :
↠ The diagonal of a square is 8 cm.
To Find :
↠ The length of the side of square.
Using Formula :
Here is the formula to find the side of square if diagonal is given :
[tex]\implies{\sf{a = \sqrt{2} \dfrac{d}{2}}} [/tex]
Where :
➺ a = side of square ➺ d = diagonal of squareSolution :
Substituting the given value in the required formula :
[tex]{\dashrightarrow{\pmb{\sf{ \: a = \sqrt{2} \dfrac{d}{2}}}}}[/tex]
[tex]{\dashrightarrow{\sf{ \: a = \sqrt{2} \times \dfrac{8}{2}}}}[/tex]
[tex]{\dashrightarrow{\sf{ \: a = \sqrt{2} \times \cancel{\dfrac{8}{2}}}}}[/tex]
[tex]{\dashrightarrow{\sf{ \: a = \sqrt{2} \times 4}}}[/tex]
[tex]{\dashrightarrow{\sf{ \: a = 4\sqrt{2}}}}[/tex]
[tex]{\dashrightarrow{\sf{\underline{\underline{\red{ \: a = 5.65 \: cm}}}}}}[/tex]
Hence, the length of the side of square is 5.6 cm.
[tex]\underline{\rule{220pt}{3pt}}[/tex]
1
x 1.0 -
=
10
1
-
10 x 1.0
Answers
Step-by-step explanation:
the question doesn't make sense and you need to rephrase the question.
what is 225 decreased by 24% ???
Answers
Answer:
171
Step-by-step explanation:
Answer:
171
Step-by-step explanation:
New value =
225 - Percentage decrease =
225 - (24% × 225) =
225 - 24% × 225 =
(1 - 24%) × 225 =
(100% - 24%) × 225 =
76% × 225 =
76 ÷ 100 × 225 =
76 × 225 ÷ 100 =
17,100 ÷ 100 =
171
Judah worked at the bakery for 14 hours last week. He spent $12 of his earnings on a cake for his father’s birthday. If he was left with $86 after buying the cake, what is Judah’s hourly wage?
$6.14
$7.00
$8.00
$9.63
Answers
Answer:
$7.00
Step-by-step explanation:
$86+$12=$98
$98÷14=7
$86+12=$98
$98 earn last week
Total $ earn divide by total hours work
$98/14=$7
Judah’s hourly wage was $7.
Solve three questions
Answers
Answer:
7) r = -4
8) n = 1
9) x = 2
Step-by-step explanation:
Problem 7
Here, we have the equation 5 + 3r + 6 = -1. It looks like we need to solve for r, so let's go ahead and start by adding the constants 5 and 6.
5 + 3r + 6 = -1
3r + 11 = -1
Next, let's remove 11 from both sides to isolate r.
3r = -12
Finally, we can divide both sides by 3 to find the value of r.
r = -4
Problem 8
In this equation, it looks like we have to solve for n: -n + 2 + 3n = 4. So, let's start by combining like terms (-n and 3n).
-n + 3n + 2 = 4
2n + 2 = 4
Next, we can remove 2 from both sides to isolate r.
2n = 2
And finally, we can divide both sides by 2.
n = 1
Problem 5
This equation is a little trickier since we have a fraction. To remove this fraction, we can multiply both sides by 4.
(-6 + x)/4 = -1
4 × (-6 + x)/4 = 4 × -1
4/4 × (-6 + x)/1 = -4
-6 + x = -4
Finally, let's add 6 to both sides.
x = 2
The high school soccer booster club sells tickets to the varsity matches for $4 for students and $8
for adults. The booster club hopes to earn $200 at each match. Let x be the number of student
tickets and y be the number of adult tickets.
List some of the possible combinations of number of tickets they can sell to make $200.
Answers
Set up an equation:
4x + 8y = 200
200/4 = 50
200/8 = 25
They callus sell 50 student tickets and 0 adult tickets
They could sell 0 student tickets and 25 adult tickets.
They could sell 10 student tickets and 20 adult tickets
They could sell 10 adult tickets and 30 student tickets
Help please!!!!!!!!!!!!!
Answers
Answer:
Hm? Is there meant to be a file, if so I can’t see it. :((
Step-by-step explanation:
Area of square whose side is 11 cm ________
Answers
Answer:
121 cm²
Step-by-step explanation:
Square's area formula is
A=a²
where a stands for a side of the square
A=(11 cm)²
A=121 cm²
whenever you're talking of area you put cm²
Answer:
Given :
✧ Side of square = 11 cmTo Find :
✧ Area of squareUsing Formula :
[tex]\star\small{ \underline{\boxed{\sf{\red{Area_{(Square)} = {(Side)}^{2}}}}}}[/tex]
Solution :
Substituting the given value in the required formula to find area of square :
[tex]{\dashrightarrow{\small{{\sf{Area_{(Square)} = {(Side)}^{2}}}}}}[/tex]
[tex]{\dashrightarrow{\small{{\sf{Area_{(Square)} = {(11)}^{2}}}}}}[/tex]
[tex]{\dashrightarrow{\small{{\sf{Area_{(Square)} = {(11 \times 11)}}}}}}[/tex]
[tex]{\dashrightarrow{\small{{\sf{Area_{(Square)} = {(121)}}}}}}[/tex]
[tex]{\dashrightarrow{\small{{\sf{Area_{(Square)} = 121 \: {cm}^{2}}}}}}[/tex]
[tex]{\star{\small{\underline{\boxed{\sf{\pink{Area_{(Square)} = 121 \: {cm}^{2}}}}}}}}[/tex]
Hence, the area of square is 121 cm².
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Point O is the center of this circle. What is m CAB?
A.55
B.48
C.45
D.35
Answers
By circle theorem, the angle at the centre of the circle is twice the angle at the circumference.
someone.. please help me asap...............................................
Answers
Answer :
4x + 9y = 27
Explanation :
Multiply the equation with 9
9( y = -4x/9 + 3 )
9y = -4x + 27
4x + 9y = 27
After 10 seconds on a zip line tour, you travel 50 feet. After 25 seconds, you travel 125 feet. Find the slope in feet per second
Answers
Answer:
5 feet per second
Step-by-step explanation:
Use the formula y2-y1/x2-x1. (10,50) is x1 and y1. 25 seconds and 125 feet is x2 and y2.
(125-50)/(25-10) = 75/15
We need to solve for the feet per (or 1) second, so we have to divide it by 15.
75/15= 5
So, the slope is 5 feet per second.
what is g(5)?
g(x)=−x+4, find g(5)
Answers
Answer:
g(5) = -1
Step-by-step explanation:
g(5)= -(5)+4
g(5)= -1
Answer:
-1
Hope you could get an idea from here.
Doubt clarification - use comment section.
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