The ratio of the number of baskets made by Salem to the number of baskets made by Khaled is 3 to 4. Salem made 12 baskets. How many baskets did Khaled make?
Answer:
Khaled made 16 baskets.
Step-by-step explanation:
3 12
-- = ---
4 x
12 / 3 = 4
4 x 4 = 16
x = 16
The sum of first four terms is a G.P. is 30 and that of the last four terms is 960. if its first term is 2 find the common ratio .
If the sum of first four terms in a G.P. is 30 and that of the last four terms is 960, then the sum of the first 8 terms is 990
We also know that a = 2
sum of first 4 terms
= 2(r^4 - 1)(r-1) = 30
r^4 - 1 = 15r - 15
r^4 - 15r + 14 = 0
r = 1 works for the equation , but r = 1 would make all the terms of the
GP the same, so clearly not a solution
r^4 - 15r + 14 = 0 , a bit of trial and error ....
(r-1)(r - 2)(r^2 + 3r + 7) = 0
so r = 2 or r = not real
check: sum(4) = 2(2^4 - 1)/(2-1) = 30 , as needed
so r = 2 , BUT it does not work for sum(8)
sum(8) = 2(2^8 - 1)(2-1) = 510 , not 990 as necessary according to your second part of the question.
check your question.
A 2-lb block of cheese us cut into 8 pieces of equal mass. What is the mass of each piece? (In oz)
Answer:
4 ounces each
Step-by-step explanation:
16 ounces = 1 pound
16x2=32
32/8=4
Find the positive root of x^2+2x-35=0 in math Please.
Answer:
x2+2x−35=0
Step 1: Factor left side of equation.
(x−5)(x+7)=0
Step 2: Set factors equal to 0.
x−5=0 or x+7=0
x=5 or x=−7
Step-by-step explanation:
7. Write an inequality that matches the graph shown.
Step-by-step explanation:
first, we define the line.
the slope is -3 (as for every increase of x by 1 unit, y changes by -3 units, which makes the slope -3/1 = -3).
the y-intercept is 2.
so, the line is
y = -3x + 2
now the graph shows that we need to define all y values that are below (and that means smaller than) the result values of the line function.
the line is not included.
therefore the inequality is
y < -3x + 2 or 3x + y < 2
The first term of a geometric sequence is -2 and the common ratio is 3, What is the sixth term of the sequence?
Also, Write the Recursive Rule fo the seqeunce from above ^
Answer:
a₆ = - 486
Step-by-step explanation:
The nth term of a geometric sequence is
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = - 2 and r = 3 , then
a₆ = - 2 [tex](3)^{5}[/tex] = - 2 × 243 = - 486
The recursive rule allows a term in the sequence to be found by multiplying the previous term by the common ratio, that is
[tex]a_{n}[/tex] = 3[tex]a_{n-1}[/tex] with a₁ = - 2
x/7 + y/5 =12
2x/5 - y/7 =9
Answer:
x = 35 ,y = 35
Step-by-step explanation:
x = 35
y = 35
A chartered vacation will cost eva $1,250 plus $45 per day for food. If Eva wants to spend less than $1,700, how many days can she travel?
Answer:
She can travel for 10 days
Step-by-step explanation:
first you do 1,250 divided by 1,250 will equal 0. Then you do the other side 1,700- 1,250 =450. Then you do 450 divided by 45 and you will get 10
Hope this helps you out!
12x-15 distributive property
[tex]\\ \sf\longmapsto 12x-15[/tex]
Distributive property
A(B+C)=AB+ACTake 3 common
[tex]\\ \sf\longmapsto 3(4x-5)[/tex]
Done
I need help with this what is 4x58
Answer:
232
Step-by-step explanation:
4*58=232
47-?=50-35 please help
Answer:
x = 32
Step 1: Solve the right-hand side of the equation.
47 - x = 50 - 35
=> 47 - x = 15
Step 2: Subtract '47' from both ends.
=> 47 - x = 15
=> -x = 15 - 47
Step 3: Solve for x.
=> -x = -32
=> x = 32.
Hoped this helped.
help, please i cant do this
============================================================
Explanation:
Use the pythagorean theorem to tie together the three sides of the right triangle.
[tex]a = x-3 = \text{horizontal leg}\\b = x+5 = \text{vertical leg}\\c = 9 = \text{hypotenuse}[/tex]
[tex]a^2 + b^2 = c^2\\(x-3)^2 + (x+5)^2 = 9^2\\x^2-6x+9 + x^2+10x+25 = 81\\2x^2+4x+34 = 81\\2x^2+4x+34-81=0\\2x^2+4x-47=0\\[/tex]
From here, we use the quadratic formula to solve for x.
[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(4)\pm\sqrt{(4)^2-4(2)(-47)}}{2(2)}\\\\x = \frac{-4\pm\sqrt{392}}{4}\\\\x \approx \frac{-4\pm19.79898987}{4}\\\\x \approx \frac{-4+19.79898987}{4} \ \text{ or } \ x \approx \frac{-4-19.79898987}{4}\\\\x \approx \frac{15.79898987}{4} \ \text{ or } \ x \approx \frac{-23.79898987}{4}\\\\x \approx 3.94974747 \ \text{ or } \ x \approx -5.94974745\\\\[/tex]
We'll ignore the negative x value because it makes the sides x+5 and x-3 to be negative numbers. Negative side lengths make no sense.
The only practical solution is roughly x = 3.94974747; rounding to 3 sig figs leads to the final answer of x = 3.95
In this case, 3 sig figs means that we're rounding to 2 decimal places.
what is the answer to 5+3x(5-2) ^2
Answer:
576
Step-by-step explanation:
5 + 3 = 8
5 - 2 = 3
8 x 3 = 24
24 to the second power is 576
Answer:
27x+5
Step-by-step explanation:
5+3x(5-2)^2
5+3x(3)^2
5+3x*9
5+27x
27x+5
Which expression has a value equal to 28 divided by 4
There are 4 options.
7x4
4x28
28/4
4/28
Answer:
28/4
Step-by-step explanation:
the slash is also a division sign.
Answer:
B: 28/4 should be the correct answer, correct me if I'm wrong.
In carbon dioxide molecules, for every 2 oxygen
atoms there is 1 carbon atom. How many oxygen atoms
combine with 50 carbon atoms to form carbon dioxide
molecules?
Answer:
100 oxygen molecules simple math
Carswell has a spinner with three equal sections labeled Stop, Go, and Wait.
He spins the spinner three times. How many outcomes are in the sample space of the experiment?
The outcomes are
(Stop,Go,wait)(Stop,Stop,Stop)(Stop,Go,Stop)(Stop, wait,Stop)(Stop,Stop,Wait)(Wait,Stop,Stop)(Go,Stop,Stop)(Go,Go,Go)(Wait,Wait,Wait)Total Outcomes=3×3=9
Helppppppppppp asapppppppppppp
Answer:
Step-by-step explanation:
First, you have to use the law of cosines which is c² = a² + b² - 2abcosФ where Ф is the angle measure between sides a and b. So, just plug-in a = 10, b = 12, and Ф = 72 into the equation and you will get (I won't show all the calculations):
c = 13.0321
Then plug that into the area formula to get:
(0.5)(10)(12)(0.225496911)
Which is about:
13.53
fill in the blank to make the fractions equivalent.
4/5 ?/15
Answer:
12/15
Step-by-step explanation:
times 4 by 3 because 5 is timesed by 3
The quotient of a number x and 4 is at most 5.
Answer:
x ÷ 4 ≤ 5
Step-by-step explanation:
What is the answer? I have looked and there is no question that is close to mine.
Answer:
Since there is a right angle, this is a right-angled triangle and we can solve for x using Pythagoras Theorem that goes [tex]a^2+b^2=c^2[/tex], where c is the hypotenuse (longest side of the triangle).
In this case, x would be the c.
Substitute in values of a and b:
[tex]10^2+10^2=c^2[/tex]
[tex]c^2=200[/tex]
[tex]c=\sqrt{200}[/tex]
[tex]c=10\sqrt{2}[/tex] (Option A)
What is the slope of the line below ? [ question 4/0 ]
Answer:
2/3
Step-by-step explanation:
[] Since is the line is going up from bottom-left to top-right, we know it will be positive
[] Because this graph has distinctive coordinate-points, we can use rise over run
() The other method is to use the change in y divided by the change in x
We start at (-2, 0), then count 2 up and 3 over to get to (2, 1) which gives us a slope of 2/3
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
x³+2/3x²-2x-4/3 factorizing
Answer:
(x+2/3) (x^2 - 2)
Step-by-step explanation:
First we can seperate the problem
(x^3 + 2/3x^2) + (-2x - 4/3)
We factor x^2 out of the first parenthesis
x^2(x + 2/3) + (-2x - 4/3)
and factor -2 out of the second
x^2 (x+2/3) +-2 (x +2/3)
then we rewrite it as
(x+2/3) (x^2 -2)
-- Gage Millar, alg1/2 tutor
Need help with this pls asap
Answer:
x=3-2i
Step-by-step explanation:
According to my calculations, this should be good
Ava has 98.2 ounces of tomatoes. Tomatoes cost $1.30 a pound. How much will she pay?
Answer:
$7.97
Step-by-step explanation:
98.2 Oz = 6.1375 Lbs
6.1375 Lbs times $1.30 = 7.97875
8x -2 + (4x - 1)(4x+1) = 0
Answer:
8x - 1 + 16x²
Step-by-step explanation:
8x - 2 + (4x - 1)(4x+1) = 0
=> 8x - 2 + 16x² + 4x - 4x - 1
=> 8x - 2 + 16x² - 1
=> 8x - 1 + 16x²
Therefore, 8x - 1 + 16x² is our answer
The denominator of a fraction is 8 more than its numerator. If 1 is subtracted from the numerator and 3 is added to the denominator, the fraction becomes 1/2. Find the fraction
pleases help as soon as possible..thank you so much
Answer:
The fraction is 13/21.
Step-by-step explanation:
The denominator of a fraction is 8 more than its numerator.
Let x be the numerator: x
So the denominator is: x + 8
[tex]\frac{x}{x + 8}[/tex]
If 1 is subtracted from the numerator and 3 is added to the denominator, the fraction becomes 1/2.
It will become:
[tex]\frac{x - 1}{x + 8 + 3} = \frac{1}{2}[/tex]
[tex]\frac{x - 1}{x + 11} = \frac{1}{2}[/tex]
Now, by using cross multiplication, multiply (x - 1) by 2 and (x+11) by 1.
It will become:
2x - 2 = x + 11
Now transpose and combine the same values. Make sure to change the integer sign. If the integer is positive, change it to negative when you transpose it.
2x - x = 11 + 2
x = 13
So the value of x is 13. Now to check if it is correct. Go back to the equation([tex]\frac{x - 1}{x + 11} = \frac{1}{2}[/tex])
Put the value of x in it.
[tex]\frac{13-1}{13+11} = \frac{1}{2}[/tex]
[tex]\frac{12}{24} = \frac{1}{2}[/tex]
12/24 is equivalent to 1/2 so that is correct.
Now, to find the main fraction. Go back to the original equation which is;
([tex]\frac{x}{x + 8}[/tex])
Put the value of x.
[tex]\frac{13}{8 + 13}[/tex]
= 13/21
Not a verified expert but I put much effort to answer your question. Hope it helps:)
What is an equation of the line that passes through the point (-7, -6) and is
parallel to the line 2 - y = 7?
Answer:
[tex]y = -6[/tex]
Step-by-step explanation:
Because is a line is of the form
[tex]y = mx + b[/tex]
and its parallel to the line
[tex]2 - y &= 7\\- y &= 5\\y = -5[/tex]
So that's meaning that the slope [tex]m[/tex] is equal to 0 then the equation now is of the form
[tex]y = b[/tex]
Then if pass for the point -6 and [tex]b[/tex] is the point of cut with the [tex]y[/tex] axis then our equation of the line is equal to
[tex]y = -6[/tex]
g(x) = 3x + 1, evaluate g(-2).
Answer:
-5
Step-by-step explanation:
g(x)= 3x+1
g(-2)
g(-2)= 3x+1
g(-2)= 3(-2)+1= -5
A map was made with a scale in which 3 inches represents 450 miles. The actual distance between two cities is 1,350 miles. What is the distance between the same two cities on the map?6 inches
Answer:
Step-by-step explanation:
(450 miles/3 inches) = 150 miles/inch
(1,250 miles)/(150 miles/inch) = 8.3333 inches
When the actual distance between two cities is 1350 miles the distance between the same cities on the map is 9 inches.
What is proportion?A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio.
Given that,
On scale 3 inches represents the actual distance = 450 miles.
To find the distance on scale when actual distance = 1350
Since, 3 inches = 450 miles
1 inch = 450 / 3 = 150 miles
150 miles = 1 inches
1 mile = / 1/ 150 inches
1350 miles = 1350 / 150 inches = 9 inches
The required distance on scale is 9 inches.
To know more about Proportion on:
https://brainly.com/question/7096655
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PLEASE HELP! DUE IN 2 HOURS!! GEOMETRY PLEASE
Answer:
side lengths are 96 for HI and PQ and 64 for IJ and RQ
hypothenuse is 115
Step-by-step explanation:
delta HIJ = delta PQR
HI = PQ --> 3x = x + 64
divide both sides by x --> 3 = x/x + 64/x *x/x = 1
3 = 1 + 64/x subtract both sides by 1
2 = 64/x --> 2x = 64 divide both sides by 2
x = 32
IJ = RQ --> x + 32 = 2x
divide both sides by x
1 + 32/x = 2 (again, x/x = 1)
subtract both sides by 1
32/x = 1
x = 32
plug in 32 for x to get the side lenghts
so 3(32) = 96
and 32 + 32 = 64
use equation a^2 + b^2 = c^2
96^2 + 64^2 = c^
9216 + 4096 = c^2
13312 = c^2 square root 13312
c = 115.378