Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = - 3 }}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ \frac{x}{ - 4} = \frac{3}{4} }[/tex]
Do cross multiplication
[tex] \dashrightarrow{ \sf{x \times 4 = 3 \times ( - 4)}}[/tex]
[tex] \dashrightarrow{ \sf{4x = - 12}}[/tex] ( Multiplying a positive integer and negative integer gives a negative integer )
Divide both sides of the equation by 4
[tex] \dashrightarrow{ \sf{ \frac{4x}{4} = \frac{ - 12}{4} }}[/tex]
Calculate
[tex] \dashrightarrow{ \sf{x = - 3}}[/tex]
Hope I helped!
Best regards! :D
the food is sufficient for 1200 soldiers for 60 days how long the food last for 1000 soldiers
Answer:
It would last for 54 days.
Step-by-step explanation:
After 15 days 200 soldiers leaved.
Soldiers Food for days
1200 ↓ 45
1000 ↑ x (let)
Arrows show the opposite variation to each other
1200 x
1000 = 45
Or, x = 1200×45
1000
= 54 days.
If you’re good at algebra could somebody help me please?
Answer:
a). f(0) = 7
b). f([tex]\frac{1}{3}[/tex]) = 6
c). f(-5) = 22
d). x = 9
Step-by-step explanation:
The given function is f(x) = -3x + 7
a). For x = 0
f(0) = -3(0) + 7
= 0 + 7
= 7
b). For x = [tex]\frac{1}{3}[/tex]
f([tex]\frac{1}{3}[/tex]) = [tex](-3)(\frac{1}{3})+7[/tex]
= -1 + 7
= 6
c). For x = (-5)
f(-5) = -3(-5) + 7
= 15 + 7
= 22
d). For f(x) = (-20)
-20 = -3x + 7
3x = 20 + 7
3x = 27
x = 9
Solve (2^2x+1)-9(2^x)+4=0
x₁ = - 1
x₂ = 2
Step-by-step explanation:2²ˣ⁺¹ - 9ₓ2ˣ + 4 = 0
2²ˣₓ2 - 9ₓ2ˣ + 4 = 0
2ˣ = n
2n² - 9n + 4 = 0
2n² - n - 8n + 4 = 0
n(2n - 1) - 4(2n - 1) = 0
(2n - 1)(n -4) = 0
2n - 1 = 0 => n₁ = 1/2
n - 4 = 0 => n₂ = 4
2ˣ = 1/2 => 2ˣ = 2⁻¹ => x₁ = - 1
2ˣ = 4 => 2ˣ = 2² => x₂ = 2
Which ordered pair comes from the table?
Answer:
d
Step-by-step explanation:
Which ordered pair comes from the table?
A bag contains 8 green, 4 black and 6 yellow marbles. What is the probability of randomly selecting a yellow marble ?
Answer:
Step-by-step explanation:
8 green
Range of value, solve for x, 2x-15
Answer:
3
Step-by-step explanation:
Set the denominator in
3
x
2
−
2
x
−
15
equal to
0
to find where the expression is undefined.
x
2
−
2
x
−
15
=
0
Solve for
x
.
Tap for more steps...
x
=
5
,
−
3
The domain is all values of
x
that make the expression defined.
Interval Notation:
(
−
∞
,
−
3
)
∪
(
−
3
,
5
)
∪
(
5
,
∞
)
Set-Builder Notation:
{
x
|
x
≠
−
3
,
5
}
If 5 + 6i is a solution of a quadratic equation with real coefficients, then_______ is also a solution of equation.
Answer:
Step-by-step explanation:
complex roots always occur in pairs and are conjugate of each other.
second root=5-6i
Which is the value of this expression when a=5 and k=-2? ?
K
325-2
3a7
75
9
25.
25
19
10 75
Hey there! I'm happy to help!
[tex]a^-^2[/tex] is the same thing as 1/a². So, [tex]5^-^2[/tex] is 1/25. This is multiplied by 3² which is 9, so this is 9/25.
In the denominator, we have [tex]5^-^1[/tex], which is 1/5. We multiply this by 3, which is 3/5.
So, we divide 9/25 by 3/5, giving us 3/5.
Now, we raise this to the power of -2, so we flip the numerator and denominator and then square both numbers, giving us 25/9.
Have a wonderful day! :D
x/a + x/b =c,a ne0,b ne0,a ne-b
Answer:
Step-by-step explanation:
[tex]\frac{x}{a} +\frac{x}{b} =c\\a\ne 0,b \ne 0,a \ne -b ~or~a+b \ne 0 \\x(\frac{1}{a} +\frac{1}{b} )=c\\x(\frac{b+a}{ab} )=c\\x=\frac{abc}{a+b}[/tex]
PLEASE HELP SKDKD KD
Answer:
A and B?
Step-by-step explanation:
if f(x)=3x^2-4 and g(x)=5x+1, find fog(4) and gof(4)
Use the following information to answer questions .
A purchasing unit for a state government has found that 60% of the winning bids for office- Cleaning contracts come from regular bidders, 30% from occasional bidders, and 10% from first- uime bidders. The services provided by successful bidders are rated satisfactory or unsatisfactory anter one year on the job. Experience indicates that 90% of the jobs done by regular bidders are satisfactory, as are 80% of the jobs done by occasional bidders and 60% of the jobs done by first- time bidders.
1. What is the probability a job will be done by a first-time bidder and be satisfactory?
a. 0.06
b. 0.09
c. 0.10
d. 0.60
2. What is the probability that a job will be satisfactory?
a. 0.54
b. 0.60
c. 0.84
d. 0.95
3. Given that a job is satisfactory, what is the probability that it was done by a regular bidder?
a. 0.5778
b. 0.6141
c. 0.6429
d. 0.9000
Answer:
1
The correct option is A
2
The correct option is C
3
The correct option is C
Step-by-step explanation:
From the question we are told that
The proportion of the winning bid from a regular bidder is [tex]P(R) = 0.60[/tex]
The proportion of the winning bid from a occasional bidders is [tex]P(O) = 0.30[/tex]
The proportion of the winning bid from a first- time bidders is [tex]P(F) = 0.10[/tex]
The proportion of satisfactory jobs done by a regular bidders is [tex]P(R|S) = 0.90[/tex]
The proportion of satisfactory jobs done by a occasional bidders is [tex]P(O|S) = 0.80[/tex]
The proportion of satisfactory jobs done by a first- time bidders is [tex]P(F|S) = 0.60[/tex]
Generally the probability that a job will be done by a first-time bidder and be satisfactory is mathematically represented as
[tex]P(F n S) = P(F) * P(S|F)[/tex]
=> [tex]P(F n S) = 0.10 * 0.60[/tex]
=> [tex]P(F n S) = 0.060[/tex]
Generally the probability that a job will be satisfactory is mathematically represented as
[tex]P(S) = 0.60 * 0.90 + 0.30 *0.80+ 0.10*0.60[/tex]
=> [tex]P(S) = 0.84 [/tex]
Generally given that a job is satisfactory, what is the probability that it was done by a regular bidder is mathematically evaluated as
[tex]P( S | R) = \frac{0.90* 0.60}{0.60}[/tex]
[tex]P( S | R) = 0.6429[/tex]
Ruth is training for a half-marathon. On Saturday, she ran 3 miles in 34.5 minutes. On Sunday, she ran 2.5 miles in 28 minutes. How much faster, in minutes per mile, was her pace on Sunday than on Saturday?
Write your answer as a decimal or a whole number.
Answer:
Step-by-step explanation:
on Saturday time taken to run 1 mile=34.5/3=11.5 min
on Sunday time taken to run 1 mile=28/2.5=280/25=56/5=11.2 min
difference in time taken=11.5-11.2=0.3
he was faster on Sunday by 0.3 min/mi
Solve x − 2y = 3 for x..
Answer:
[tex]x=2y+3[/tex]
Step-by-step explanation:
[tex]x-2y=3[/tex]
To get x, first, we must add 2y on both sides.
[tex]x-2y+2y=3+2y[/tex]
Now that we added, we received our answer!
[tex]x=2y+3[/tex]
Hope this helps!
Answer:
x=3+2y
Step-by-step explanation:
Add 2y to both sides of the anwser
x-2y=3
+2y +2y
x=3+2y
There you go
What is 21x+6 solve for x
Answer:
[tex]x = - \frac{2}{7} [/tex]
Step-by-step explanation:
[tex]21x + 6 = 0 \\ 21x = - 6 \\ x = - \frac{2}{7} [/tex]
•you divide both sides by 21 to leave x alone
I'm not too sure on this. I need help ASAP, please and thank you.
Answer:
25
Step-by-step explanation:
Evaluate 3(x+4)(x+1)/(x+2)(x-2) if x = 4 a.-10
B.10/3
C.-10/3
D.10
The solution of expression 3(x+4)(x+1)/(x+2)(x-2) at x=4 is 10.
What is expression?An expression is a combination of numbers, symbols, variables, indeterminates, function. It is usually not present in equal to form. It expresses some relationship between variables.
How to evaluate expression?The expression which is given as 3(x+4)(x+1)/(x+2)(x-2) and we have to find the value at x=4.
To find the value of expression at x=4 we have to put the value of x=4 in the expression.
at x=4, 3(4+4)(4+1)/(4+2)(4-2)
=(3*8*5)/6*2
=120/12
=10
Hence the value of expression 3(x+4)(x+1)/(x+2)(x-2) at x=4 is 10.
Learn more about expression at https://brainly.com/question/723406
#SPJ2
- m(2m + m2); m =
-4
Answer:
-(-4)(2×-4+(-4×2).
4(-8+(-8)).
4(-16).
= -64.
Answer:-64
Step-by-step explanation:
-4(2×4+4×2)
-4(8+8)
-32-32=-64
The hypotenuse of a right triangle is 10 inches long. One of the legs is 2 inches longer than the other one. If x is the length of the shorter leg, what is the equation
Answer:
The equation is
X²+2x-48 = 0
Shorter one is 6 inches
Other side= 8 inches
Step-by-step explanation:
The equation for a right angle triangle normally is
A² = B² + C²
Where A = hypotenuse
Then B and C are the order sides of the triangle.
This time
Hypotenuse= 10 inches
The shorter one is X
While the other one is X+2
The equation
10²= x² +(x+2)²
100= x² + x² + 4x +4
100 - 4 = 2x² +4x
96= 2x² +4x
48 = x² +2x
X²+2x-48 = 0
Solving for x
X² +8x-6x-48= 0
X(x+8)-6(x+8)=0
(X-6)(x+8)= 0
X= 6 or x= -8
Definitely x is posiy
So x= 6
Shorter one is 6 inches
Other side= 6+2= 8 inches
Mr.wilkins deposited $2,500 in a new account at his bank . •the bank pays 6.5% interest compounded annually on this account •mr.wilkins makes no additional deposits or withdrawals Which amount is closest to the balance of the account at the end of 2 years
Answer:
Step-by-step explanation:
$2,662.50
Which properties of equality are used in the example shown on the left? Check all of the boxes that apply.
Answer:
Addition Property and substitution property
a) Let U = {1,2, ..., 9} be the universal set, and let
A = {1, 2, 3, 4, 5},
C= {5, 6, 7, 8, 9), E= {2,4,6,8},
D= {1,3,5,7,9), F = {1,5,9}.
B = {4, 5, 6, 7},
Find:
ii) (A/E)^c
iii) (BnF) U (CnE)
Answer:
B= {4,5,6,7,} is the answer.
it is difficult ☹️ questions
PLEASE I really need help
One side of a triangle is 8 feet longer than the second side. The third side is 4 feet longer than the second side. The perimeter of a triangle is 36 feet. Find the length of each side.
Answer:
The second side is 8.
The third side is 12.
The last side is 16.
Step-by-step explanation:
The third side is 12 because it is 8+4. Given these facts, it is 20 feet so far. And the last side of the triangle is 16, for it is 8+8. So, 16+20 is 36. Hope thsi helped.
Subtract.
Enter your answer, in simplest form, in the box.
-3 3/8 - 7/8
Answer:
The answer is
[tex] - \frac{17}{4} \: \: or \: \: - 4 \frac{1}{4} [/tex]Step-by-step explanation:
[tex] - 3 \frac{3}{8} - \frac{7}{8} [/tex]First of all convert the mixed number to an improper fraction
We have
[tex] - 3 \frac{3}{8} = \frac{27}{8} [/tex]So we have
[tex] - \frac{27}{8} - \frac{7}{8} [/tex]Since they have the same denominator we can subtract them directly
We have
[tex] - \frac{27}{8} - \frac{7}{8} = - \frac{34}{8} [/tex]Reduce the fraction with 2
We have the final answer as
[tex] - \frac{17}{4} \: \: or \: \: - 4 \frac{1}{4} [/tex]Hope this helps you
If AB=3x-1, BC=6x, and AC= 26. Find the value of x.
Answer
let me try but i'm not sure
Step-by-step explanation:
Let's assume AC is a straight line and B is on the line and B is between A and C
AB+BC=AC
3x-1+6x=26
9x=27
x=3
Solve this inequality : 5x+7x<36
Answer:
x < 3
Step-by-step explanation:
5x+7x<36
12x<36
Divide both sides by 12
x<3
I need to get slope intercept form
The probability of rolling a number less than 3 on a number cube 2/6. Jennifer rolls a number cube 60 times how many times should jennifer except to roll a number less than 3
Answer:
20 times
Step-by-step explanation:
Given the following :
Probability of rolling a number less than 3 on a number cube:
Required outcome = (1, 2)
Total possible outcomes = (1, 2, 3, 4, 5, 6)
Required outcome / Total possible outcomes
= 2 /6
= 1/3
Hence, if number cube is rolled 60 times, number of times a number less than 3 is expected :
(Probability of obtaining a number less than 3 in one roll × number of rolls)
= (1 / 3) × 60
= 60 / 3
= 20 times
(5 points)
You randomly pull a rock from a bag of rocks. The bag has 3 pink
rocks, 1 green rock, 4 blue rocks, and 1 black rock.
What is the probability of not drawing a speckled or a yellow rock?
Answer:
100%
Step-by-step explanation:
there are no speckled or yellow rocks so you have a 100% chance of not drawing them
100%
Since there aren't any speckled or yellow rocks it isn't possible to draw them.