Answer:
t = -14
Step-by-step explanation:
(t + 8)( - 2) =12
(t)(-2) + (8)(-2) = 12
-2t + -16 = 12
(subtract to make -16 positive)
-2t - 16 = 12
+16 +16
(add 16 to both sides. 16 and 12)
-2t = 28
(divide)
-2t = 28
/-2 /-2
t = -14
hope this helped!
1.
A geometric series has first term 2 and sum to infinity 5.
1)Find the common ratio.
2)Find the sum of the first 10 terms of the series.
Answer:
r = 3/5
Step-by-step explanation:
S_∞ = a/(1 – r)
A geometric series has first term 2 and sum to infinity 5.
1)Find the common ratio.
= S_∞ = a/(1 – r)
5 = 2/1 - r
Cross Multiply
5(1 - r) = 2
5 - 5r = 2
5 - 2 = 5r
r = 5 - 2/5
r = 3/5
2)Find the sum of the first 10 terms of the series.
The sum of the first 10 terms =
S
When building a house, the number of days required to build varies inversely with with the number of workers. One house was built in 55 days by 8 workers. How many days would it take to build a similar house with 40 workers?
Answer:
See below
Step-by-step explanation:
We can make a the number of days and y the number of workers
Since we were told there is an inverse relationship between the days required to build the house and the number of workers required, then,
The equation would be
y = k/x
Here, y is inversely proportional to x and k is the constant proportionality
So, out required equation would be
a = k/n
Fixing the values, we'll have
55 = k/8
k = 55 × 8
k = 440
The number of days required to build a similar house with 5 workers will now be
= 440/5
= 88 days
What is p (not 3) ?
You roll a fair 6-sided die
Answer:
P(not3)=5/6=.83
Step-by-step explanation:
Find probability of a die that didn’t have a 3 means that it could have a 1,2,4,5,6. This is 5out of 6.
5/6=.83
Answer:
0.83
Step-by-step explanation:
There are six sides of a dice and you are trying to find the probabilty of rolling anything other then a three. That leaves you with 5 out of 6 sides that you can roll. Fraction is 5/6. 5/6 as a decimal is 0.83
The weight of oranges growing in an orchard is normally distributed with a mean weight of 3.5 oz. and a standard deviation of 0.5 oz. Using the empirical rule, determine what interval would represent weights of the middle 68% of all oranges from this orchard.
Answer:
(3 oz ; 4oz)
Step-by-step explanation:
Given that :
Mean = 3.5 oz
Standard deviation = 0.5 oz
According to the empirical rule ; 68% is 1 standard deviation from the mean.
Hence, the interval that would represent the middle 68% will be:
(3.5 oz - 0.5 oz) ; (3.5 oz + 0.5oz)
(3 oz ; 4oz)
PLEASE HELP DOES ANYONE KNOW HOW TO SOLVE THIS
Answer:
36
Step-by-step explanation:
All angles are right angles here. You know one is 54 so the other unknown side in that quadrant has to be 90 - 54.
As angle B is going to be the same as the angle that you just located in that quadrant, the answer is 36
23 travelers forest 63 piles of plantains containing the same number of plantains and a remaining pile containing 7 plantains. They divided the plantains equally. What is the least number of plantains that each traveler got?
Answer:
14 plantains
Step-by-step explanation:
Given
[tex]x \to[/tex] plantain in a pile
[tex]y \to[/tex] plantain received by each
[tex]n = 23[/tex] travelers
Required
The least value of y
Note that:
- There are x plantains in 1 pile, so there will be 63x in 63 piles
- The number of plantains shared is: 7 to 63x (7 represents the single plantain)
- 1 traveler gets y plantains, so 23y will receive 7 + 63x plantains
So, the equation is:
[tex]23y = 7 + 63x[/tex]
Make y the subject
[tex]y = \frac{7 + 63x}{23}[/tex]
The values of x and y must be integer and these values must be greater than 0.
Using trial by error method, we test the values of x starting from 1;
So, we have:
[tex]x = 1 \to y = \frac{7 + 63 * 1}{23} = \frac{70}{23} = 3.04[/tex]
[tex]x = 2 \to y = \frac{7 + 63 * 2}{23} = \frac{133}{23} = 5.78[/tex]
[tex]x = 3 \to y = \frac{7 + 63 * 3}{23} = \frac{133}{23} = 8.52[/tex]
[tex]x = 4 \to y = \frac{7 + 63 * 4}{23} = \frac{259}{23} = 11.26[/tex]
[tex]x = 5 \to y = \frac{7 + 63 * 5}{23} = \frac{322}{23} = 14[/tex]
So, the smallest values of x and y that satisfy the equation is:
[tex](x,y)=(5,14)[/tex]
Hence, the least number of plantain each traveler got is 14
hii! please help asap. i’ll give brainliest
Answer:
b
Step-by-step explanation:
please help thanks!!!
Answer:
2x+8
Step-by-step explanation:
So when they say a number, they mean a unknown value.
We can use a variable as this unknown value. In this situration we can call it x.
This phase says "twice a number" or "twice x". This can be though of as 2x.
next it says this number is increased by 8. When they say increased they meanm added to.
So 8 is added to 2x. Or 2x + 8
So its the second answer, 2x+8.
Hope this helps!
60% expressed as a ration is StartFraction 60 Over 100 EndFraction. What is this as a fraction in its reduced form?
Answer:
3/5
Step-by-step explanation:
60% means 60 out of 100. For example if you get 60 marks in an exam of 100 marks. This means you got 60% marks.
Which is 60/100. This fraction can further be reduced to 6/10 [divide both numerator and denominator by 10)
6/10 = 3/5 [divide both numerator and denominator by 2)
So, the reduced form of 60% =3/5
The St. Louis Cardinals defeated the Texas Rangers in the 2011 World Series in a thrilling 7game series. The matrices below show the statistics for runs, hits, and errors for each team in each game.
Which team had the most total runs
Which team had the most total hits
Answer:
The St. Louis Cardinals had the most total runs
The Texas Rangers had the most total hits
Step-by-step explanation:
From the given matrices, we have;
The total runs made by the St. Louis Cardinals is found by adding the runs obtained in each of the seven games as follows;
Total runs by St. Louis = 3 + 1 + 16 + 0 + 2 + 10 + 6 = 38
Similarly the total hits by the St. Louis Cardinals is given as follows;
Total hits by St. Louis = 6 + 6 + 15 + 2 + 7 + 13 + 7 = 56
For Texas Rangers, we have;
Total runs by Texas Rangers = 2 + 2 + 7 + 4 + 4 + 9 + 2 = 30
Total hits by the Texas Rangers = 6 + 5 + 13 + 6 + 9 + 15 + 6 = 60
Therefore, we have;
The St. Louis Cardinals has the most total runs with 38 runs which is more when compared to the Texas Rangers that have 30 runs
The Texas Rangers has the most total hits with 60 hits compared to the St. Louis Cardinals that have 56.
Find X. It’s a right triangle
Answer:
7.64
Step-by-step explanation:
use tangent (opposite over adjacent)
tan27=x/15
multiply both sides by 15 to isolate the x
15tan27=x
use a calculator
answer = 7.64
what is thg value of the expression below?
2 [32 – (4 - 1)]
Enter your answer in the box.
Answer:
58
Step-by-step explanation:
4-1= 3
32-3 = 29
29 x 2 = 58
Hard and Long math question, Answer for 100Points
(In image)------ (Dum answers to steal points will be reported, and your account will be deleted)
(Answer In depth for all points, And Answer all the questions that the problem requests)
Answer: Momma- 72, Uncle- 36, Baby-27, & Grandaddy-36
Step-by-step explanation:
Momma: x/48=30/20; 1440=20x; x=72
Uncle: x/72=5/10; 360=10x; x=36
Baby: x/36=6/8; 216=8x; x=27
Grandaddy: x/27=16/12; 432=12x; 36
5 b = - 25 for algebra
Answer:
b= -5
Step-by-step explanation:
because 5x-5=-25
What is the GREATEST perfect square that is a
factor of 180?
Answer:
36
We determined above that the greatest perfect square from the list of all factors of 180 is 36.
Answer:
36
Step-by-step explanation:
You list all factors of 180 and then find a number that is a perfect square
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, and 180.
As you can see, 36 is the greatest perfect square
The square root = 6
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
NEED ANSWER RIGHT NOW PLS Which graph represents the solution set of the inequality Negative 9 greater-than x?
A number line going from negative 13 to negative 7. An open circle is at negative 9. Everything to the left of the circle is shaded.
A number line going from negative 13 to negative 7. A closed circle is at negative 9. Everything to the left of the circle is shaded.
A number line going from negative 13 to negative 7. An open circle is at negative 9. Everything to the right of the circle is shaded.
A number line going from negative 13 to negative 7. A closed circle is at negative 9. Everything to the right of the circle is shaded.
Answer:
i think C
Step-by-step explanation:
tell me if i am wrong and hope you have a good day
Answer:
A
Step-by-step explanation:
What is the measure of x to the nearest degree?
8
We know that :
[tex]\sf{\bigstar \ \ Cos\theta = \dfrac{Adjacent \ Side}{Hypotenuse}}[/tex]
From the figure, We can notice that :
Ф Adjacent side length = 8
Ф Hypotenuse length = 11
[tex]\sf{\implies Cosx^{\circ} = \dfrac{8}{11}}[/tex]
[tex]\sf{\implies x^{\circ} = Cos^{-1}\bigg(\dfrac{8}{11}\bigg)}[/tex]
[tex]\sf{\implies x^{\circ} = 43.34}[/tex]
Welcome, Detective Percent. Recently, there have been many reported scams. After weeks of investigations, you finally tracked down the address of the mastermind. He is an expert in %. He knows you are here to catch him and is in the midst of destroying all the evidence. He needs 30 minutes for the whole process to complete. You have to get through all the locks (full of percentages) to get to his secret chamber before all the evidences are gone.
Answer:
filthy Frank always told ppl who had anime pic where weeaboos
Rob can harvest a field in 12 hours. One day his friend Aliyah helped him and it only took 5.45 hours. Find how long it would take Aliyah to do it alone.
Answer:
6.25 times two equals 12.5
Step-by-step explanation:
hey cutie pls help me !! brainilist will be given !!
Answer:
Part a.
An angle bisector divides the angle into two congruent angles.
m<FGH = m<HGI
2x - 4 = 3x - 22
Subtract 2x from both sides. Add 22 to both sides.
18 = x
x = 18
Now that we know x = 18,
m<FGH = 2x - 4 = 2(18) - 4 = 36 - 4 = 32
m<FGH = 32
Part b.
m<HGI = 3x - 22 = 3(18) - 22 = 54 - 22 = 32
m<HGI = 32
Part c.
m<FGI = m<FGH + m<HGI = 32 + 32 = 64
m<FGI = 64
Step-by-step explanation:
The mass of a carbon atom is 1.994 × 10-23 grams. The mass of a hydrogen atom is 1.67 × 10-24 grams. What is the difference of their masses?
Answer:
carbon is heavier
Step-by-step explanation:
That's the difference right?
Oh and if you want an exact number, you can take the mass of carbon arom and subtract the mass of hydrogen atom
1.994×10^-23 - 1.67×10^-24= 19.94×10^-24 - 1.67×10^-24= 18.27x10^-24
Malcolm is filling bags with rice. He starts with a 57 -pound container of rice and fills each
bag with pound of rice. How many bags of rice can Malcolm fill?
Click the arrows to choose an answer from each menu.
To determine the number of bags Malcolm can fill. Choose
Malcolm can fil
Choose
full bags and choose
of another bag
Rewrite 5 1/4 as an improper fraction:
Multiply the whole number by the denominator of the fraction then add the numerator of the fraction and put over the denominator:
5 x 4 = 20 + 1 = 21
5 1/4 = 21/4
Ow divide the total amount (21/4) by the amount in each bag (5/8)
21/4 / 5/8
When dividing by a fraction flip the second fraction over and then multiply straight across:
21/4 / 5/8 = 21/4 x 8/5 = (21 x 8) / (4 x5) = 168/20 = 8 8/20 = 8 2/5 bags
He can fill 8 full bags and 2/5 of a other bag
What association does the scatter plot show
A positive nonlinear association
B positive linear association
C no
D negative nonlinear
E negative linear
Answer:
The answer would be no association
Step-by-step explanation:
PLEASE HELP SOMEONE!! thank you!
find j
write your answer in simplest radical form
Answer:
prob just [tex]\sqrt{6}[/tex]
Step-by-step explanation:
leg = [tex]\sqrt{3}[/tex]
j = [tex]\sqrt{3}[/tex] * [tex]\sqrt{2}[/tex]
[tex]\sqrt{6}[/tex]
Answer:
Step-by-step explanation:
11 12 13 14 15 Which of the following is the graph of f(x) = 3|x – 4| + 1?
someone pls help me with this question
Answer:
10 units
Step-by-step explanation:
[tex]4 \times 2.5 = 10[/tex]
Answer:
the answer is 15.4 units
Please help me thanks please
I will give you brainlest
Answer:
60
Step-by-step explaintion
5 x 12
Better upload please help out and thank you ❤️.
Verify x + 1⁄2 is a factor of P(x)= x2
+ x -2
Answer:
Put p(x)=0.
Step-by-step explanation:
2x-1=0 will give x=1/2. This means, If x=1/2 is given to the polynomial p(x), it will give a zero. P(1/2)=0.
please help me ill give you the crown thing if its right
Answer:
15
Step-by-step explanation:
3/5 = x/25
x = 15
Answer:
15
Step-by-step explanation:
25/5 = 5 so 3*5=15. also 3/5 is the same as 15/25. (15/5 = 3 and 25/5 = 5)