(1)
10(1+3x)=-20
Cross multiply.
10+30x=-20
Isolate x on one side. So you would subtract 10 on each side. and one side will cross each other out. leaving you with,
30x=-20-10
Subtract 10 from -20.
30x=-30
Divide each side by 30 to get x.
30x÷30=-30÷30
Therefore,
x=-1
(2)
-5x-8(1+7x)=-8
Cross multiply -8(1+7x)
-5x-8-56x=-8
Isolate all x's on one side. So you would add 8 on each side. and one side will cross each other out. leaving you with,
-5x-56x=-8+8
Add 8 to -8.
-5x-56x=0
Subtract -56x from -5x
-61x=0
Divide each side by -61
-61x÷-61=0÷-61
Therefore,
x=0
Answer:
Option C is correct.
Step-by-step explanation:
Given the dimension of the surfaces i.e length, width and height of podium. we have to calculate the surface area of the victory podium.
As Surface area of cuboid is 2(LW+WH+HL)
In the given figure, the upper cuboid has dimension
L=2.5 ft. , W=1.5 ft, H=1.5 ft


The upper face is occuring twice therefore it must be subtracted to find the area
Dimensions of lower podium are
L=7.5 ft. , W=1.5 ft, H=1.5 ft

Now, Surface area of podium included bottom is
19.5+49.5-3.75=65.25 square feet.
Hence, option C is correct.
So we can start with the full of possibilities and eliminate them one by one.
The full set is {0,1,2,3,4,5,6,7,8,9}.
Now we know that any prime greater than 2 is odd as otherwise it would have 2 as a factor, so we can eliminate all of these digits that would be an even number, leaving:
{1,3,5,7,9}
We also know that any prime greater than 5 cannot be a multiple of 5 and that all numbers with 5 in the digits are a multiple of 5, so we can eliminate 5.
{1,3,7,9}
We know that 11,13,17 and 19 are all primes, so we cannot eliminate any more of these, leaving the set:
{1,3,7,9} as our answer.
.07×1.22 = ?
first take away the decimals in the question, 7×122 =854.
now add the decimals back to the answer, we had 4 decimal places in the questions so add 4 decimal places to 854 = 0.0854
answer= 0.0854
Answer:
The slope of line G is
.
Step-by-step explanation:
Given as :
The points of the line CH contains
C =
,
= - 2 , 6
H =
,
= 5 , -3
Let The slop of line CH = G
<u>Now, slope of line is </u>
G = 
i.e G = 
Or, G = 
Or,G = 
So, The slope of the line CH = G = 
Hence, The slope of line G is
. Answer