Evaluate.
−|a+b|/2−c when a=1 7/8 , b=−1 , and c=−4
Enter your answer as a simplified fraction in the box.
a= 1 7/8 {Given}
b=-1
c=-4
Putting values;[tex] \frac{ - | 1\frac{7}{8} + ( - 1)| }{2} - ( - 4)[/tex]Convert the mixed number to an improper fraction[tex] \frac{ - | \frac{15}{8} + ( - 1) | }{2} - ( - 4)[/tex]When there is a + in front of an expression in parentheses, the expression remains the same&When there is a - in front of an expression in parentheses, change the sign of each term in the expression[tex] \frac{ - | \frac{15}{8} - 1| }{2} + 4[/tex]Calculate the difference[tex] \frac{ - | \frac{7}{8} | }{2} + 4[/tex]The absolute value of any expression is always positive or zero[tex] \frac{ - \frac{7}{8} }{2} + 4[/tex]
Use [tex] \frac{ - a }{b} = \frac{a}{ - b} = - \frac{a}{b} [/tex] to rewrite the fraction[tex] - \frac{ \frac{7}{8} }{2} + 4[/tex]Simplify the complex fraction[tex] - \frac{7}{16} + 4[/tex]Calculate the sum[tex] \frac{57}{16} [/tex]Solved ✔︎An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The value of -|a + b| / 2 - c when a = [tex]1\frac{7}{8}[/tex], b = -1, and c = -4 in a mixed fraction is [tex]3\frac{9}{16}[/tex].
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
- |a + b| / 2 - c
The value of -|a + b| / 2 - c
when,
a = [tex]1\frac{7}{8}[/tex] = 15/8
b = -1
c = -4
= [- |a + b| / 2 ]- c
= [ - | 15/8 + (-1) | / 2] - (-4)
= [ - | 15/8 - 1 | / 2 ] + 4
= [ - | (15-8)/8 | / 2 ] + 4
= [ - | 7/8 | / 2 ] + 4
= { -7/(8 x 2) ] + 4
= -7/16 + 4
= (-7 + 16x4) / 16
= (-7 + 64) / 16
= 57 / 16
We have to write in a mixed fraction.
= [tex]3\frac{9}{16}[/tex]
Thus,
The value of -|a + b| / 2 - c when a = [tex]1\frac{7}{8}[/tex], b = -1, and c = -4 in a mixed fraction is [tex]3\frac{9}{16}[/tex].
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There is a 1 in 8 chance of a player winning a game. Which value is equivalent to the chance
of the player winning a game?
F
100
125
G
125
10
H 1.25
J 0.125
The value which is equivalent to the 1 in 8 chance of the player winning a game is Choice J: 0.125.
The question statement implies that the probability of a player winning a game is 1 in 8.
We must know that the probability of an event occuring can be expressed as any choice of real numbers. However, the probability must ultimately not be more than 1 upon evaluation.
For choice F:
The expression 100/125 = 0.8 which is not equivalent to 1 in 8.For choice G:
The expression 125/10 = 12.5 which is not equivalent to 1 in 8.For choice H:
The expression 1.25 is more than 1, therefore, it is obviously not equivalent to 1 in 8.For Choice J:
The expression 0.125 is equivalent to 1 in 8 because 1/8 = 0.125.Read more:
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PLZ HELP ASAP! Solve the following equation for x: 4x + 12y = -24
Answer:
This is impossible
Step-by-step explanation:
Answer: x= -6 - 3y
Step-by-step explanation:
Check all solutions to the equation. If there are no solutions, check "None."
&x=0
Someone please help ASAP!!
Answer:
I think 0 is the only one that works here.
Step-by-step explanation:
Answer:
the only option is 0
Step-by-step explanation:
Proof Hexagon:
Hey, I'm a German 11th grader and we currently have a tough geometry question: The centers A, B, C of three congruent circles that have no common points do not lie on the same straight line. From points A, B, C, the six tangents shown in the figure are placed on the circles that enclose a convex hexagon.Prove: The sums of the lengths of three pairs of not immediately adjacent sides of this hexagon are equal, i.e. | PQ | + | RS | + | TU | = | QR | + | ST | + | UP |
How can I prove this? I already found out that the triangles on the sides of the hexagon are not pairwisely congruent, as i first thought. I think my other idea that the red and orange triangles (attachment) are congruent, so the sum of the areas of the triangles on the above mentioned sides is equal, but the congruency of red and orange must be proven too. Any help is appreciated!
If I'm not wrong, then the answer will be:-
Given
• centers A, B, C
• three congruent sides
• have no common points
So, the result is:-
| PQ | + | RS | + | TU | = | QR | + | ST | + | UP |
ProvedI hope this answer is correct and helps you.
✍️ By Benjemin ☺️
Help ASAP please!!!!!!
Translate the sentence into an equation.
Two times the sum of a number and 4 equals 9.
Use the variable y for the unknown number.
Answer:
The equation for this sentence is: 9 = 2(4y)
Answer:
2(y + 4) = 9Step-by-step explanation:
Two times the sum of a number and 4 equals 9:
2(y + 4) = 9You start at (5, 7). You move down 1 unit and left 5 units. Where do you end?
Answer:
(0, 6)
Step-by-step explanation:
5, 7
x, y
5, 7
-5 -1
---------------
0,6
At birthday Party girls ate 7 3/4
pizzas and the boys ate 2 1/2 pizzas. How many pizzas were eaten at my party?
Answer:
10 1/4
Step-by-step explanation:
2 1/2 = 5/2
5/2 (2/2)= 10/4
7 3/4 = 31/4
10/4+31/4=41/4
41/4 = 10 1/4
Ross sold b boxes of cookies, and gabby sold 35 boxes of cookies. Together they sold a total of 69 boxes of cookies
The table represents a proportional
relationship between x and y. Find the value
of y when x = 38.
20
22
24
26
28
5
5.5
6
6.5
7
The value of y when x = 38 would be 9.5
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
Given that table represents a proportional relationship between x and y.
we just need to solve for the slope
Therefore,
k = x/y
k = 20/5
k = 4
when x = 38
y = 1.5x
y =(1.5) 38
y = 9.5
The value of y when x = 38 would be 9.5
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Which of the following describes a gerund and how it functions in a sentence? (1 point)
O A gerund is a noun that functions as the subject of a sentence.
O A gerund is a noun that functions as the direct object receiving the action in a sentence.
O A gerund is a verb ending in -ing that functions as a verb in a sentence.
O A gerund is a verb ending in -ing that functions as a noun in a sentence.
Answer:
a
Step-by-step explanation:
The accurate definition of the gerund and its purposes is "gerund is a verb ending in -ing that serves as a noun in a phrase." Thus, option fourth is correct.
What is sentence?Sentence refers to a set of words that are appropriately ordered in a line and provide the sense or meaning. When the line imparts meaning to the words, it is considered to be a sentence.
A combination of words that may transmit a statement, question, exclamation, or demand on their own. Sentences generally include a subject and a predicate, as well as one main clause and one or more subsidiary clauses.
Gerund is a verb form that includes -ing at the end of the word and functions as a noun in the phrase. Gerunds, like the other two forms of verbals, are founded on a verb and hence reflect the verbal category.
Therefore, it can be concluded that option fourth is correct.
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What is the graph of y <= 5x + 2?
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The graph for the given inequality will be A
[tex]y \leqslant 5x + 2[/tex]escribe los cinco primeros. multiplos de cada numero multiplos de 7 multiplos de 10
Answer:7 · 0 = 0 7 · 1 = 7 7 · 2 = 14
7 · 5 = 35 7 · 6 = 42 7 · 7 = 49
10 · 0 = 0 10 · 1 = 10 10 · 2 = 20
10 · 5 = 50 10 · 6 = 60 10 · 7 = 70
Step-by-step explanation:
What is the distance between the points (4,7) and (4, -5)
Answer: It is 12
Step-by-step explanation:
A+B + C = 180
A= 36
What is x
Answer:
which is x here
please write complete question
You invest $1200 into an account paying 7% interest compounded quarterly. Determine the annual interest rate to the nearest hundredth of a percent
Which of the following systems of inequalities would produce the region
indicated on the graph below?
Answer: Im pretty sure its B
(/ ^_^/) .....
PLEASE HELP ME AND HURRY TOO NO LIBKS PLEASE I WILL GIVE BRAINLIEST
Answer:
[tex] {(5 - ( - 2))}^{2} = {(5 + 2)}^{2} = 7 \times 7 = 49 \\ 49 \times ( - 3) = - 147[/tex]
Lauren invest $8000
Answer:
what are you wanting
Step-by-step explanation:
Which expression is equivalent to (24m+36)+(12m+18)?
A
6(4m+9)+3(4m+9)
B
4(6m+9)+3(6m+9)
C
12 (2m+6)+3(2m+6)
D
12(2m+3)+6(2m+3)
The equivalent expression will be;
⇒ 12 (2m + 3) + 6 (2m + 3)
Option D is true.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ (24m + 36) + (12m + 18)
Now,
Since, The expression is,
⇒ (24m + 36) + (12m + 18)
it can be written as;
⇒ (24m + 36) + (12m + 18) = 12 (2m + 3) + 6 (2m + 3)
Thus, The equivalent expression after solving,
⇒ 12 (2m + 3) + 6 (2m + 3)
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Jasmine is solving this equation. What value of x makes Jasmine's equation true?
x/4 = 9
Answer:
The value of x that makes Jasmine's equation true is 36, because 36 / 4 = 9.
Step-by-step explanation:
brainliest please. . .
What is 39,800,000 in scientific notation?
Answer:
3.98 x 10 to the power of 5
Step-by-step explanation:
Mark me brainleist if this is correct!
Whats 1 and 2
true
false
true/false
Answer:false true
Step-by-step explanation:
Pls helpppppppppp meeeeeeeeeeeeeeee
Answer:
B. [tex]\frac{1}{5}[/tex]
Hope this helped. A brainliest would be very much appreciated. (I need 4 brainliest so I can level up) :)
Please help! Only answer if correct :)!!
Answer:
x....y
0....-9
-9...0
Solution:
Draw a line thru the 2 points.
Do the same for the other eqn. Where they incersect is the solution.
Here's the solution in attachment
The sum of 2 and w is less than 21
2+w<21
-2 -2
w<19
w is 18 and under.
PLS STOP DELITING FOR NO REASON I NEED HELP.
Answer:
They both go to equivalent
Step-by-step explanation:
A total of $8000 is invested: part at 5% and the remainder at 13%. How much is invested at each rate if the annual interest is $730?
Answer:
$3875 at 5%
$4125 at 13%
Step-by-step explanation:
Let x = amount invested at 5%.
Let y = amount invested at 13%.
x + y = 8000
0.05x + 0.13y = 730
Solve the first equation for x and sustitute into the second one to solve by the substitution method.
x = 8000 - y
0.05(8000 - y) + 0.13y = 730
400 - 0.05y + 0.13y = 730
0.08y = 330
y = 4125
x = 8000 - 4125
x = 3875
Answer:
$3875 at 5%
$4125 at 13%
Macario is making 12 pounds of nut mixture with macadamia nuts and almonds. Macadamia nuts cost $9 per pound, and
almonds cost $5.25 per pound. How many pounds of macadamia nuts and how many pounds of almonds should Macario
use for the mixture to cost $6.50 per pound to make?
Answer:
Marcario should use 4 pounds of macadamia nuts and 8 pounds of almonds.
Step-by-step explanation:
Marcario should use 4 pounds of macadamia nuts and 8 pounds of almonds. Explanation given cost of macadamia nuts per pound=$9
cost of almond nuts per pound=$5.25
cost of the mixture per pound=$6.5
total pounds of the mixture to be made=12
let the pounds of macadamia nuts=x
pounds of almond nuts=y
total pounds of nuts=x+y= 12
x + y = 12(1)
9x +5,25y = 6.5(x+y)
9x+5.25y=6.5*12
9x+5.25y=78(2)
solving (1) and (2)
x=4 y=8