the second term of a GP is 18 and the fifth term is 486 find the first term and the common ratio
Answers
Step-by-step explanation:
everything can be found in the picture
Related Questions
Debbie is making 16 cakes for a large
banquet. The cake recipe calls for 1.5
cups of milk for one cake. How many
quarts of milk should Debbie
purchase at the store to have enough
for all of the cakes?
Answers
Answer:
12 tablespoons
Step-by-step explanation:
because 3/4 of 16 tablespoons is 12
Answer:
6 Quarts of milk!
Step-by-step explanation:
Do 1.5 cups times 16 to get 24 cups. Then you covert cups to quarts to get an answer of 6. I hope this helped you, have a nice day!! :)
D The prize money for a competition is
shared between the winner and the runner-up
in the ratio 3: 1.
The winner received £250 more than the
runner-up.
What was the total prize money?
Answers
Answer: 333.3
Step-by-step explanation:
Answer:
Total amount = £500
Step-by-step explanation:
Let the amount for the runner up be = x
Let the amount for winner be = x + 250
Let the total amount be x + x + 250 = 2x + 250
Ratio of the amount is 3 : 1
Sum of the ratio = 3 + 1 = 4
Amount for the winner is
[tex]\frac{3}{4} \ of \ (2x + 250) = (x + 250)\\\\\frac{3}{4}\times(2x + 250) = x + 250\\\\\frac{6x}{4} + \frac{750}{4} = x + 250\\\\\frac{6x}{4} - x = 250 - \frac{750}{4}\\\\\frac{6x - 4x}{4} = \frac{1000 - 750}{4}\\\\\frac{2x}{4} = \frac{250}{4} \\\\2x = 250\\\\x = 125[/tex]
Therefore, Amount won by runner - up = x = £125
Amount won by winner = x + 250 = 125 + 250 = £375
Therefore, total amount = 375 + 125 = £500
SOMEONE PLEASE HELP ME! I AM REALLY BAD AT GEOMETRY!
Answers
Answer:
m∠STQ = 160°
Step-by-step explanation:
Angles diagonal of each other in a parallelogram are equal to each other. Therefore m∠STQ = 160°.
Reason: Opposite angles of any parallelogram are always congruent.
Use the table to work out the values of
a
,
b
,
c
, and
d
.
x
y
=
2
x
+
4
−
3
−
2
−
2
a
−
1
2
0
b
1
c
2
d
Answers
Answer:
53thst is the right. answer
Can someone help me find the area plz
Answers
Answer:
16.24 yd^2
Step-by-step explanation:
The area is
A = bh
A = 5.6*2.9
A =16.24 yd^2
Answer:
Step-by-step explanation:
90.9
A circle has a radius of 3 feet. What is the arc length subtended a central angle of 90 degrees?
Answers
Answer:
90 + 3 - 180 = 87
Step-by-step explanation:
I remembered doing a problem like this in Algebra, but i think this is right
x + 3 > 70
How do I solve this step by step?
Answers
Answer:
x > 67
Step-by-step explanation:
x+3 >70
subtract from each side
x+3-3 > 70 -3
x > 67
Algebra
To solve this, simplify the algebra inequality.
Subtract three from both sides.
x>67
Meaning, x is bigger than 67.
A number between 10 and 100 is 8 times the sum of its digits. If 45 is substracted
from it, the result equals the number formed by interchanging its digit. Find the
number
Answers
Answer:
72
Step-by-step explanation:
Let the number be [tex]xy[/tex]
Value of number = [tex]10x+y[/tex]
[tex]10x+y=8(x+y)[/tex]
[tex]10x+y=8x+8y[/tex]
[tex]2x-7y+0........(1)[/tex]
[tex]10x+y-45=10y+x[/tex]
[tex]9x-9y=45[/tex]
[tex]x-y=5............(2)[/tex]
Multiply by [tex]-2[/tex]
[tex]-2x+2y=-10[/tex]
Add to [tex](1)[/tex]
[tex]-5y=-10[/tex]
[tex]y=2[/tex]
[tex]x-y=5[/tex]
[tex]x-(2)=5[/tex]
[tex]x=7[/tex]
Number = 72
hope this helps...
In a 30-60-90 special right triangle, if long leg is 5√3 then the short leg = ___, and the hypotenuse is ____
Answers
Answer:
short = 5, hypotenuse = 10
Step-by-step explanation:
In a 30-60-90 triangle, the long leg is x√3, the short leg is x, and the hypothenuse is 2x.
As the long leg is 5√3, we can see that x is 5. So, the short leg would be 5 and the hypothenuse would be 2x5, which is 10.
What is the approximate distance between the swing and the slide?
Answers
Answer:
Distance of slide = 80 feet. Angle between swing and slide = 30 degrees
On a black Friday, Jumia sold a pair of jeans trousers marked N7 000 at a discount of 10%. Find the Discount
Answers
Answer:
[tex]d=N700[/tex]
Step-by-step explanation:
From the question we are told that:
Sale price[tex]n=7000[/tex]
Discount percentage [tex]dp=10 %[/tex]
Generally the equation for discount d is mathematically given by
[tex]d=n*dp[/tex]
[tex]d=7000*\frac{10}{100}[/tex]
[tex]d=N700[/tex]
Write the expression for 2 added to the product of a number p and 43
Answers
Answer:
43p + 2
Step-by-step explanation:
Product of p and 43 = 43p
2 added to the product of p and 43 = 43p + 2
Answer:
Step-by-step explanation:
The product of a number p and 43 means
p * 43 = 43p
And 2 added to the product gives;
43p + 2
However; the expression is 43p + 2.
HELP ASAP !! Which is more, 1 mile or 365 yards?
Answers
Answer:
1 mile is longer than 365 yards
Step-by-step explanation:
there are 1,760 yards in a mile
Hi there!
»»————- ★ ————-««
I believe your answer is:
One mile.
»»————- ★ ————-««
Here’s why:
A mile is 1,760 yards. Since the number of yards given in the question, 365, is less than 1,760, a mile would be more than 365 yards. Side note: 365 yards is about 0.2 of a mile.»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
indica los monomios semejantes en cada uno de las siguientes series: por favor ayudenmen aaaaaaa D':
Answers
Answer:
Do you have this in english so that I can help :)
Step-by-step explanation:
rút gọn biểu thức của căn bậc hai số học của 125 - 10 căn bậc hai số học của 1/20 - căn bậc hai số học của 5 - 5/ căn bậc hai số học của 5
Answers
Answer:
2[tex]\sqrt{5}[/tex]
Step-by-step explanation:
[tex]\sqrt{125}[/tex]-10[tex]\sqrt{ \frac{1}{20} }[/tex]-[tex]\sqrt{5}[/tex]-[tex]\frac{5}{\sqrt{5} }[/tex]
=5[tex]\sqrt{5}[/tex]-10[tex]\frac{\sqrt{5}}{10}[/tex]-[tex]\sqrt{5}[/tex]-[tex]\sqrt{5}[/tex]
=2[tex]\sqrt{5}[/tex]
Using the right triangle below. What is the name for side AB?
A) Hypotenuse
B) Adjacent
C) Opposite
D) None of the above
Answers
Answer:
hypotenuse is the correct answer
Answer: A) hypotenuse
Step-by-step explanation: I need two more brainliest for the next rank I’d appreciate it
does anyone know how to do this
Answers
Answer:
no i dont im so sorry
Step-by-step explanation:
Answer:
i believe it's 185° as the angle measure is closes to that
During a recent two-day snowstorm, it snowed 6- inches on the first day
8
5
and 8 inches on the second day. Find the total snowfall.
12
,
Answers
Answer:
4.8 inches
Step-by-step explanation:
6 * 1 / 8 = 0.75
8 * 5 / 12 = 3.33
0.75 + 3.33 = 4.8 inches
Answer:
4.8 inches
Step-by-step Explanation:
Ill mark you brainlist plz help if you put something random I will report you!
Answers
Answer:
Rate of change=1
Step-by-step explanation:
y2-y1/x2-x1
(2,0), (0,-2)
y2=-2
y1=0
x2=0
x1=2
-2-0/0-2
-2/-2
1
Rate of Change=1
If this helps please mark as brainliest
Answer:
1
Step-by-step explanation:
Choose two points from the graph.
(0,-2) & [tex]= \frac{0 - [-2]}{2-0}\\\\= \frac{0+2}{2}\\\\= \frac{2}{2}\\\\= 1[/tex](2, 0)
Rate of change = Change in y / change in x
5 number summary? Please help this is confusing and please do step by step
Answers
the q1 is the median of the lower half —3
the median is the middle number—5
the q3 is the median of the upper half—8
the max is the highest value in the data set—10
When Zoe was six-year-old Lulu is twice her age Zoe is 10 years old now how old is Lulu
Answers
Answer:
20 years old! Heart it if it was helpful :D
Step-by-step explanation:
Alright! Well Zoe = 6 when Lulu = 12. Zoe is 10 so lulu is now 20.
Answer:
16
Step-by-step explanation:
Which values of x would make a polynomial equal to zero if the factors of the
polynomial were (x+4) and (x+8)?
A. 4 and -8
B. 4 and 8
O c. -4 and -8
O D. -4 and 8
Answers
Answer:
C
Step-by-step explanation:
Given the factors of a polynomial.
To find the zeros ( the values that make the polynomial equal to zero ), then
Equate each factor to zero and solve for x
x + 4 = 0 ⇒ x = - 4
x + 8 = 0 ⇒ x = - 8
Find the distance between the points (-4,-2) and (-10, 6). Write your answer as a whole number or a fully simplified radical expression. Do not round. units
Answers
hope it helps
1
What is the y-intercept of a line that has a slope of 2 and passes through point (8,3)?
1
3
5
11
Answers
Answer:
the y intercept is -13
Step-by-step explanation:
First of all we need the line equation so let's find it first :
y = mx + b
y = 2x + b
_______________________________
The line passes through point ( 8 , 3 ) which means if put 8 instead of x the y must equals to 3 :
2(8) + b = 3
16 + b = 3
b = 3 - 16
b = - 13
______________________________
Now we have the equation of the line :
y = 2x - 13
To find the y-intercept we just need to out 0 (zero ) instead of x ; Let's do it :
y = 2(0) - 13
y = 0 - 13
y = - 13
Thus the y-intercept = - 13
4x + y for x = 2.8 and y = 5
Answers
Answer:
16.2
Step-by-step explanation:
4*2.8+5=
Answer:
16.2
Step-by-step explanation:
4x + y
Let x = 2.8 and y = 5
4(2.8) + 5
11.2+5
16.2
Solve the equation for X. Show all work.
6(-3x - 4) = - 18x + 24
Answers
+24. +24
-12x = -18x + 48
+18x. +18x
6x = 48
/6. /6
X = 8
On the following parallelogram, find angle a in degrees.
12 inches
b
с
у
a
1149
+
Х
O a = 66
O a = 114
O a = 45
O a = 58
Answers
9514 1404 393
Answer:
a = 66
Step-by-step explanation:
Adjacent angles in a parallelogram are supplementary.
a = 180° -114°
a = 66°
Triangle ABC is similar to triangle WYZ.
Determine whether the following statement is true or false.
sin(B)>sin(Y)
True
False
Answers
Which of the following graphs best represents the solution to the pair of equations below? y = −2x + 2 y = 2x + 2
Group of answer choices:
-A coordinate plane is shown with two lines graphed. One line passes through the y axis at 2 and the x axis at 1. The other line passes through the y axis at negative 2 and the x axis at 1. The lines intersect at 1 comma 0.
-A coordinate plane is shown with two lines graphed. One line passes through the y axis at negative 2 and the x axis at 1. The other line passes through the y axis at 2 and the x axis at negative 1. The lines are parallel and do not intersect.
-A coordinate plane is shown with two lines graphed. One line passes through the y axis at 2 and the x axis at 1. The other line passes through the y axis at 2 and the x axis at negative 1. The lines intersect at 0 comma 2.
- A coordinate plane is shown with two lines graphed. One line passes through the y axis at 2 and the x axis at negative 1. The other line passes through the y axis at negative 2 and the x axis at negative 1. The lines intersect at negative 1 comma 0.
Answers
Answer:
A coordinate plane is shown with two lines graphed. One line passes through the y axis at 2 and the x axis at 1. The other line passes through the y axis at 2 and the x axis at negative 1. The lines intersect at 0 comma 2.
Answer:
yes
Step-by-step explanation:
Find the equation of a circle with a center at (7,2) and a point on the circle at (2,5)?
Answers
Answer:
[tex](x-7)^2+(y-2)^2=34[/tex]
Step-by-step explanation:
We want to find the equation of a circle with a center at (7, 2) and a point on the circle at (2, 5).
First, recall that the equation of a circle is given by:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Where (h, k) is the center and r is the radius.
Since our center is at (7, 2), h = 7 and k = 2. Substitute:
[tex](x-7)^2+(y-2)^2=r^2[/tex]
Next, the since a point on the circle is (2, 5), y = 5 when x = 2. Substitute:
[tex](2-7)^2+(5-2)^2=r^2[/tex]
Solve for r:
[tex](-5)^2+(3)^2=r^2[/tex]
Simplify. Thus:
[tex]25+9=r^2[/tex]
Finally, add:
[tex]r^2=34[/tex]
We don't need to take the square root of both sides, as we will have the square it again anyways.
Therefore, our equation is:
[tex](x-7)^2+(y-2)^2=34[/tex]