Hello macelynn190!
[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
[tex] \huge \tt \frac{5 - 2(a + 3b)}{2} [/tex]
[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
To solve this question we need to substitute the given values of 'a' & 'b' in the equation & then simplify it.
Given,
a = 4b = 1Now, substitute this in the place of 'a' & 'b'..
[tex]\large \tt \frac{5 - 2(a + 3b)}{2} \\ = \large \underline{\underline{\tt \: \frac{5 - 2((4) + 3(1))}{2} }}[/tex]
Lastly, simplify it...
[tex]\large \tt \: \frac{5 - 2((4) + 3(1))}{2} \\ = \large \tt\frac{5 - 2(4 + 3)}{2} \\ = \large \tt \: \frac{5 - 2(7)}{2} \\ = \large \tt \: \frac{5 - 14}{2} \\ = \large \tt\frac{-9}{2} \\ = \large \boxed{\boxed{ \bf \: -\frac{9}{2}=-4.5}}[/tex]
The answer is -9/2 or -4.5__________________
Hope it'll help you!
ℓu¢αzz ッ
Given info:-
Simplify: 5-2(a+3b)/2. When a=4 and b=1.
[5-2(a+3b)]/2
Now, put a=4 and b=1 (Because this is given in question only)
so,
⇛[5-2{4+3(1)}]/2
⇛[5-2{4+3}]/2
⇛[5-2{7}]/2
⇛[5-2×7]/2
⇛[5-14]/2
⇛-9/2 Ans.
Similar questions:
Evaluate -[-1⅘ ÷ 0.3(1.2)] - 5/6
https://brainly.com/question/25291603
There are 2304 students sitting in the auditorium in such a way that each row contains as many students as the number of rows. How many rows are there in the auditorium?
Answer:
48
Step-by-step explanation:
[tex]\sqrt{2304}[/tex] = 48 * 48
To have the same number of rows and students, it shall be each row contains 48 students and 48 rows overall
Synthetic Division x^3+9x^2-11x-13
Answer:
You can't synthetic divide since there's no dividend. As you can't factor it so I figure you must've forgot to include something or there's no solution.
Can someone help me with this
-6 + x = -7
+6 +6 add 6 to both sides, 6's cancel out on the left.
________
x = -1, is the answer.
Hope this helps! Let me know if you have any other questions related to this problem. :)
Answer:
x= -1
Step-by-step explanation:
-6+x = -7
x = -7+6
x= -1
12 lightbulbs are tested to see if they last as long as a manufacturer claims they do three lightbulbs failed a test two light bulbs are selected at random without replacement find the probability that both light bulbs failed the test
Using the hypergeometric distribution, it is found that there is a 0.0455 = 4.55% probability that both light bulbs failed the test.
The bulbs are chosen without replacement, and this is why the hypergeometric distribution is used to find the probability.
Hypergeometric distribution:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. N is the size of the population. n is the size of the sample. k is the total number of desired outcomes.In this problem:
12 bulbs, thus [tex]N = 12[/tex]3 failed the test, thus [tex]k = 3[/tex].2 are selected, thus [tex]n = 2[/tex].The probability that both failed the test is P(X = 2), thus:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 2) = h(2,12,2,3) = \frac{C_{3,2}C_{9,0}}{C_{12,2}} = 0.0455[/tex]
0.0455 = 4.55% probability that both light bulbs failed the test.
A similar problem is given at https://brainly.com/question/24826394
In a triangle abc angle a =x and angle b=2x what is the size of angle c
Answer:
∠c = 180 - 3x
Step-by-step explanation:
Triangle interior angles = 180.
Remember this fact:
The sum of the angles of any polygon = (number of sides in the figure - 2)(180)
∠a = x
∠b = 2x
∠c = 180 - 3x
The scale of a blueprint is 1 in.=20 ft.
The length of a wall in the blueprint is 2.5 in. What is the length of the actual wall?
What is the blueprint length of an entrance that is 5 ft wide?
Answer:
1) 50 feet
2) 0.25 or 1/4 inches
Step-by-step explanation:
If one inch is equal to 20 feet, then multiply 20 by 2.5 to find the length of the actual wall
5 feet is a fourth of 20 feet, and since 1 inch is equal to 20 feet, it would also be a fourth of an inch
Marie bought 6 pounds of apples for $0.87 per pound and
paid for them with a $10 bill. How much did she get back
in change?
Answer:
5.22
Step-by-step explanation:
rjskstks5oslyatkao5sylslgsltsirsotzktzo
Answer:
$4.78
Step-by-step explanation:
6 x 0.87 = 5.22
10.00 - 5.22 = 4.78
Maire got $4.78 back
in change
Simplify the radical please I need sleep it's 1 am I wake up at 4
Answer:
[tex]4cba*\sqrt{5bc}[/tex]
Step-by-step explanation:
[tex]\sqrt{4^{2} *5a^{2}b^{2}bc^{2} c }[/tex]
[tex]4cba*\sqrt{5bc}[/tex]
help please !! geometry
Where is the velocity negative?
E
B
A
G
Hello! The answer is
D-F
The V is negative when the velocity graph goes down. Hope this helps!
#HaveAnAmazingDay
[tex]GraceRosalia[/tex]
The sum of two consecutive odd numbers is 1408. What are the numbers?
Put the smaller number first comma then the larger number.
Answer:
703,705
Step-by-step explanation:
divide 1408 by 2
add one for one number
subtract one for the other
1.4×10−5 and 2.8×10−4
Answer:
Step-by-step explanation:
Step one- is solving the left side of the equation using PEMDAS, 1.4x10 = 14
Step two- 14-5 = 9
Step 3 - 2.8 times 10 = 28
Step 4 - 28- 4 = 24
The answer is 9 and 24
how do you use subsitution for5x+2y=4
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
5*x+2*y-(4)=0
Equation of a Straight Line
1.1 Solve 5x+2y-4 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 5x+2y-4 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 2/1 so this line "cuts" the y axis at y= 2.00000
y-intercept = 4/2 = 2
Calculate the X-Intercept :
When y = 0 the value of x is 4/5 Our line therefore "cuts" the x axis at x= 0.80000
x-intercept = 4/5 = 0.80000
Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 2.000 and for x=2.000, the value of y is -3.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -3.000 - 2.000 = -5.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = -5.000/2.000 = -2.500
Geometric figure: Straight Line
Slope = -5.000/2.000 = -2.500
x-intercept = 4/5 = 0.80000
y-intercept = 4/2 = 2
what is 3/4 times 8/9?! plzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
2/3
Step-by-step explanation:
= 3/4 * 8/9
= 24/36
simplify by 4
= 6/9
simplify by 3
= 2/3
Answer:
24 /36 or 2/3
Step-by-step explanation:
3 x 8 = 24
4 x 9 = 36
24/36
Simplify the fraction to get 2/3
Therefore, 2/3 would be your answer.
-kiniwih426
i am never able to do these, their so confusing yet SO easy- please help!
Answer:
a) independent: area to be painted in sq ft
dependent: amount of paint needed in gallons
b) independent: amount of milligrams
dependent: amount of sleep
Step-by-step explanation:
Easy tip to remember that is almost always right:
Your X variable is always independent, and your Y variable is always dependent.
If you aren't given these variables, another thing you can do is ask for example, question a, ask yourself, "is the area you paint dependent on the amount of paint you need?" , or "is the amount of paint you need, dependent on how much your painting?"
Which variable depends on your other variable? Would help you find your dependent variable.
It makes sense that, the number of paint you need depends on how much sq ft you are painting.
Answer:
a) Independent variable: x (area to be painted)
Dependent variable: y (amount of paint needed)
b) Independent variable: x (amount of medication)
Dependent variable: y (amount of sleep)
Step-by-step explanation:
Independent variables are variables that do not depend on other variables to determine their values.
Dependent variables are variables that depend on other variables to determine their values.
8.5 inches to centimeters
Answer:
21.59cm
Step-by-step explanation:
Multiply 8.5 by 2.54 to convert in. to cm.
1/(2+i)²
Solve this question....
[tex]\large\underline{\sf{Solution-}}[/tex]
Given complex number is
[tex]\rm \longmapsto\:\dfrac{1}{ {(2 + i)}^{2} } [/tex]
[tex]\rm \: = \: \dfrac{1}{4 + {i}^{2} + 2 \times 2 \times i} [/tex]
[tex]\rm \: = \: \dfrac{1}{4 - 1 + 4i} [/tex]
[tex]\rm \: = \: \dfrac{1}{3+ 4i} [/tex]
[tex]\rm \: = \: \dfrac{1}{3+ 4i} \times \dfrac{3 - 4i}{3 - 4i} [/tex]
[tex]\rm \: = \: \dfrac{3 - 4i}{ {3}^{2} - {(4i)}^{2} } [/tex]
[tex]\rm \: = \: \dfrac{3 - 4i}{9 -16 {i}^{2} } [/tex]
We know,
[tex] \rm \longmapsto\:\tt{ {i}^{2} \: = \: - \: 1 \: } \\ [/tex]
So, using this, we get
[tex]\rm \: = \: \dfrac{3 - 4i}{9 -16( - 1)} [/tex]
[tex]\rm \: = \: \dfrac{3 - 4i}{9 + 16} [/tex]
[tex]\rm \: = \: \dfrac{3 - 4i}{25} [/tex]
[tex]\rm \: = \: \dfrac{3}{25} - \dfrac{4}{25}i[/tex]
The line through (-2, 3) with slope 2/3 in point slope form
Answer:
y - 3 = 2/3(x + 2)
Step-by-step explanation:
slope = 2/3
point-slope form --> y - y1 = m(x - x1)
y - 3 = 2/3(x - -2)
y - 3 = 2/3(x + 2)
point slope form of the line is y - 3 = 2/3(x + 2)
Answer:
y - 3 = 2/3(x + 2)
solve −2 1/4⋅(−2 1/3)
a −5 1/4
b −4 1/1
c 4 1/12
d 5 1/4
Answer:
5 1/4
The answer is d (d 5 1/4)
Answer: D
Step-by-step explanation:
[tex]-2\frac{1}{4}[/tex] × [tex]-2\frac{1}{3}[/tex]
= [tex]\frac{-9}{4}[/tex] × [tex]\frac{-7}{3}[/tex]
= [tex]\frac{3}{4}[/tex] × [tex]7[/tex]
= [tex]\frac{21}{4}[/tex] or [tex]5\frac{1}{4}[/tex]
please give me a brainliest answer
please help me!!!!!
Answer:
The equation is 39=3r-6
Step-by-step explanation:
Let x = # of years from the start of the Great Depression to the first Presidential election of Nixon
Let r = Raul's age
The question gives us what x equals so...
x=39
Now we just turn the sentence into an equation.
"The number of years from the start of the Great Depression to the first Presidential election of Nixon [(x)] is six years less than three times Raul's age [(3r-6)]"
Remove the icky words...
x=3r-6
replace x with what it equals (39)
39=3r-6
Now you can go on to olve it
Overal Raul is only 15 :)
Find the quotient of 902÷27
(It has a remainder)
Answer:
The quotient of 902 divided by 27 equals 33 and the remainder is 11.
A term may be written in index form to?
a) Make calculation easier
b) Represent large numbers
c) Show repeated multiplication
d) All the above
Answer:
A.make calculation easier
Quick I need Helpppp!!
Triangle EFT is congruent to triangle JKL. What is KL, in units
Answer:
KL = 6 units.
Step-by-step explanation:
Congruent means the same or similar.
Hope this helps!
Need help asap pls pls pls
Answer:
why do you want to know
Step-by-step explanation:
hahahahahahahaha
Please help I have 15 minutes left for my assessment. Thank you!
Answer:
57kg
Step-by-step explanation:
We need to find the length of each piece of metal:
We already know that 2 of them are 6m and 8m and this would be the same for the pieces of metal opposite.
So we have four lengths - 6m, 6m, 8m, and 8m
To find the last length, we need to use pythagoras theory
a² + b² = c² where c is the slanted side, or the diagonal
6² + 8² = c²
36 + 64 = 100
c² = 100
c = √100 = 10
So the five lengths are 6m, 6m, 8m, 8m, and 10m and the total is 38m
If:
1m = 1.5kg
38m = ?kg
We have to multiply both sides by 38
1m × 38 = 38m
1.5kg × 38 = 57kg
So, the total weight of metal in the frame is 57kg
i need an explanation what....wajfasjf
Run it up hb gotchu w them points
Answer:
C
Step-by-step explanation:
Answer:
This one is C
Step-by-step explanation:
-16>x divided by 2
Solve for x.
Answer:
x < -32
Step-by-step explanation:
8/7 divided by 5/2?
Answer:
16/35
Step-by-step explanation:
(8/7)/(5/2)
8/7 * 2/5
16/35
Evaluate the expression (ill give brainiest)
Answer:
2 [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
Substitute the given values into the expression
2 ( [tex]\frac{1}{16}[/tex] + ([tex]\frac{1}{4}[/tex] )² ) + 5([tex]\frac{1}{2}[/tex] )
= 2 ( [tex]\frac{1}{16}[/tex] + [tex]\frac{1}{16}[/tex] ) + [tex]\frac{5}{2}[/tex]
= 2 ([tex]\frac{2}{16}[/tex] ) + [tex]\frac{5}{2}[/tex]
= 2 ([tex]\frac{1}{8}[/tex] ) + [tex]\frac{5}{2}[/tex]
= [tex]\frac{1}{4}[/tex] + [tex]\frac{10}{4}[/tex]
= [tex]\frac{11}{4}[/tex]
= 2 [tex]\frac{3}{4}[/tex]