9514 1404 393
Answer:
∠A = 44°
Step-by-step explanation:
In order to find the measure of angle A, you need to know the value of the variable x. This means you need some relation that you can solve to find x.
Happily, that relation is "the sum of angles in a triangle is 180°." This means ...
84° +(x +59)° +(x +51)° = 180°
(2x + 194)° = 180° . . . collect terms
2x = -14 . . . . . . . . . . divide by °, and subtract 194
x = -7 . . . . . . . . . . . .divide by 2
Now, the measure of angle A is ...
∠A = (x +51)° = (-7 +51)°
∠A = 44°
Write an integer to represent spending $50
The integer that represents spending $50 is -50
Question 6(Multiple Choice Worth 1 points)
(05.03 LC)
What is the initial value of the equation shown?
y = -4x - 3
O-4
O-3
03
04
9514 1404 393
Answer:
(b) -3
Step-by-step explanation:
The "initial value" is the constant in the equation. It is the value that remains when the x-term is removed. It is the result of evaluating the equation when x=0.
y = -4(0) -3 . . . . substitute x=0
y = 0 -3
y = -3 . . . . the "initial value"
If sin x=0.96, find tan x
Step-by-step explanation:
sin x= P/H
sin x = 0.96 = 96/100 = 24/25.
Let the ratio of the sides be x.
B²=H²-P²
B²=(25x)²-(24x)²
B²=625x²-576x²
B²=49x²
B=√49x²
B= 7x.
cos x = 7x/25x = 7/25.
therefore, tan x = sin x / cos x = (24/25)/(7/25) = 24/25×25/7 = 24/7 .
hope this helps you.
Please Help! I will give you a lot of points! (6.3)
The average yearly salary of a lawyer is $34 thousand less than twice that of an architect. Combined, an architect and a lawyer earn $215 thousand. Find the average yearly salary of an architect and a lawyer
What is the average yearly salary of an architect?
What is the average yearly salary of a lawyer?
Let architect s income be x
Lawyers income be 2x-34AtQ
[tex]\\ \sf\longmapsto x+2x-34=215[/tex]
[tex]\\ \sf\longmapsto 3x-34=215[/tex]
[tex]\\ \sf\longmapsto 3x=249[/tex]
[tex]\\ \sf\longmapsto x=83[/tex]
[tex]\\ \sf\longmapsto 2x-34=166-34=132[/tex]
Lawyers income=132thousandArchitect s income=83thousand(1/2 + 1/3) - (1/2 - 1/3) =
Answer:
.66
Step-by-step explanation:
1/2 + 1/3 - 1/2 - 1/3 = .66
please answer this, i am so confused
The bag of dog food would last for 21 days.
The bag contains 42 cups of dog food. If the dog eats [tex]2\frac{1}{3}[/tex] cups everyday, the amount of cup in the bag decreases by [tex]2\frac{1}{3}[/tex] cups everyday. This can be represented with this expression: 42 - [tex]2\frac{1}{3}[/tex]d. Where d represents the number of days.
In order to determine the number of days in which the bag would be emptied, this equation can be used:
Number of days the dog food would last = number of cups in the cup / amount the dog eats each day
42 ÷ [tex]2\frac{1}{3}[/tex]
42 ÷ [tex]\frac{7}{3}[/tex]
42 x [tex]\frac{3}{7}[/tex] = 21 days
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simplify : (2x^3 - 10x^2 + 5x +14) / (x-2)
Plot the graph of the linear equation. 3x-2y=6
Answer:
First point : (0, -3)
Second point : (2, 0)
Y-intercept : -3
Step-by-step explanation:
To tackle a question like this, the first thing you want to do is put the equation into y = mx + b form.
1.) 3x - 2y = 6
2.) -2y = -3x + 6 (bring 3x to the other side, using inverse operations)
3.) y = 1.5x - 3 (divide -2 on both sides, to isolate the variable y)
Now that you have the y-intercept (-3), you have your y value. Finally, just substitute the variable y from the original equation to solve for the x value.
1.) 3x - 2(-3) = 6
2.) 3x + 6 = 6 (multiply (-2) and (-3))
3.)3x = 0 (subtract 6 on both sides using inverse operations)
4.) x = 0
Now you have your first point which is (0, -3)!
To get your last point, just substitute your y coordinate from the original equation to get x.
1.) 3x - 2(0) = 6
2.) 3x - 0 = 6
3.) 3x = 6
4.) x = 2
Then, substitute the x coordinate from above in the original equation to get the y coordinate.
1.) 3(2) - 2y = 6
2.) 6 - 2y = 6
3.) -2y = 0
4.) y = 0
Second coordinate : (2, 0)
I hope this explanation was helpful!
HELPPPPPPPPPPP. please explain how u got the answer
Step-by-step explanation:
the key is x = 0.
also I see in the first table no "run-away" effect of some values, so my first suspicion is : it is linear.
let's test it.
a linear function is a line :
y = ax + b
remember, x = 0 is a key element.
y = a×0 + b
-3 = a×0 + b
-3 = b
so, we know, the line function is
y = ax - 3
now, for the a. let's use the next xy pair (1, 1).
1 = a×1 - 3
4 = a
aha ! our line function is therefore
y = 4x - 3
verify with the next 2 points (2, 5) and (3, 9)
5 = 4×2 - 3 = 5 correct
9 = 4×3 - 3 = 9 correct
linear type and equation confirmed.
the second table :
yes, we see relatively big y values compared to the x values.
and the y values follow the powers of 2
so it seems to to be exponential.
64 = 2⁶
32 = 2⁵
16 = 2⁴
8 = 2³
so, while x increases, the powers of 2 decrease. so, we must build something like y = 2^x, but it must run contrary to the increase in x.
the old trick : c-x.
again, x= 0 is key. when x = 0 we get the biggest y (64). that means that gives us c.
64 = 2^(c-x) = 2^(c-0) = 2^c = 2⁶
=> c = 6
so, we suspect the exponential function
y = 2^(6-x)
let's verify with the other points
(1, 32)
32 = 2^(6-1) = 2^(5) = 32 correct
(2, 16)
16 = 2^(6-2) = 2^(4) = 16 correct
(3, 8)
8 = 2^(6-3) = 2^(3) = 8 correct
so, yes, it is the exponential function
y = 2^(6-x)
Solve the following for x:
4x + y = z
a.x = z - y - 4
b.x = z/4
c.x = z-y/4
d.x = z+y/4
Explain
Answer:
[tex]x = \frac{1}{4} z - \frac{1}{4} y[/tex]
Step-by-step explanation:
4x + y = z
4x = z - y
x = 1/4z - 1/4y
The fastest a human has ever run is 27 miles per hour. How many miles per minute did the human run?
Answer:
0.45 miles per minute
Step by Step Explanation:
Look at the units: miles per hour is miles/hour
If we multiply
miles hour miles
----- * ------- = ---------
hour minute minute
(27 miles/hour)(1/60 hours/minute) = 27/60
= 9/20 = 0.45 miles per minute
(x+7)+3y simply I need help plsssss
Answer:
move 7
Step-by-step explanation:
x + 3 y + 7
Two of the dozen eggs in a carton
are cracked. About what percent of the
carton is cracked?
Answer:
17%
Step-by-step explanation:
2/12 or the eggs are cracked. That means 1/6 of the eggs are cracked.
1/6 approximately equals 0.167
So, it is approximately 16.7%, or if you round it up, 17%.
Answer:
16.67 %
Step-by-step explanation:
two of a dozen is 2/12 simplified is 1/6 and 1/6 in a percentage is 16.67%
when adding a postitive on the number line you move....
Answer:
When you add a positive number, you move to the right on the number line
Which of the following is an equation of the line In the graph? A.3x-y=4 B.3x+y=4 C.-3x-y=4 D.-3x+y=4m
9514 1404 393
Answer:
B. 3x+y=4
Step-by-step explanation:
The constant on the right is positive, so the signs of the coefficients match the signs of the respective intercepts. The graph shows both x- and y-intercepts are positive, so the equation will have positive coefficients everywhere. The appropriate choice is ...
3x +y = 4
2. Translate P(4, 0) right 3 units and up 5 units. Give the coordinates of the image point.
O(-5, 1)
O(1,-5)
O (5,7)
O (7,5)
The coordinates of the image point will be P''(7, 5).
What is the difference between upward, downward, leftwards and rightwards translation?Upward translation {k units} : When the upward translation take's place then, each point will have its y - coordinate shifted upwards by +k units.Downward translation {k units} : When the downward translation will take place then, each point will have its y - coordinate shifted downwards by -k units.Leftward translation {k units} : When the leftward translation will take place then, each point will have its x - coordinate shifted by -k units to the left.Rightward translation {k units} : When the rightward translation will take place then, each point will have its x - coordinate shifted by +k units to the rightGiven is to translate P(4, 0) right by 3 units and up by 5 units.
Rightward translation : P'(4 + 3, 0 + 0) = P'(7, 0)
Upward translation : P''(7 + 0, 0 + 5) = P''(7, 5)
Therefore, the coordinates of the image point will be P''(7, 5).
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Terrance earned $444 in March, $523 in April and $410 in May. He divided his earnings between himself and his 4 other workers. How much did they each earn?
Answer:
$275.40
Step-by-step explanation:
Add 444+523+410=1377
divide 1377 by 5 and u get 275.4
Determine if the following table represents a linear function. If so, what’s the rate of change?
The values in the table represent a linear function.
The correct option is; Yes; The rate of change = 3/2
What is a linear function?A linear function is a function forms a straight line when plotted on the coordinate plane.
The values in the table represent a linear function, where we get;
The first difference is constant
The subsequent x-values increase by the same value
The increase the subsequent x-values is; 4 - 2 = 6 - 4 = 8 - 6 = 2, which is a constant
The first difference in the y-values is; 6 - 3 = 9 - 6 = 12 - 9 = 3
The first difference is a constant, 3, therefore, the values in the table represent a linear function.
The slope or rate of change is the ratio of the first difference to the difference in subsequent x-value, therefore;
The rate of change = 3/2
The correct option is therefore; Yes, rate of change = 3/2
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what percent of 60 is 15? Please help 10points
25% of 60 is 15
If divide 15 by 60 we find that it is eqyivalent to the ratio of 1/4. 1/4 is the same as 25%.
Answer:
25%
Step-by-step explanation:
25% means one fourth. 15 is exactly 1/4, or 25% of 60.
Hope it helps you! :)
[tex]GraceRosalia[/tex]
Find a compatible dividend for the division problem.
2,394
Which of the following does NOT have a unit price of $24 for one sweater?
$38 for 2 sweaters
$72 for 3 sweaters
$96 for 4 sweaters
$120 for 5 sweaters
Answer:
$38 for 2 sweaters
Step-by-step explanation:
Every price for all other sweater options are divisible by 24, since it is the unit price (meaning 1 sweater = $24). 38 is not divisible by 24, but by 19. This means it does not follow the unit price. It would be a special sale.
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Answer:
what is your question all I see is numbers and shapes
how to find slope of (-7,3) and (5,6)
Answer:
The slope is 1/4
Step-by-step explanation:
y2-y1 6-3 3 1
m= —— = —— = —— = ——
x2-x1 5+7 12 4
Let U be the set of whole numbers from 5-10 inclusive. Set A= {5, 7, 9}, Set B = {5, 8, 10}. AU~B <---------
Answer:
Suppose the universal set is U = all whole numbers from 1 to 9. If A = {1, 2, 4}, then Ac = {3, 5, 6, 7, 8, 9}. As we saw earlier with the expression Ac ...
Let U be the set of whole numbers from 5-10 inclusive. Set A={5, 7, 9 ...
HELP PLEASE ITS MATH
Answer:
32 trips.
Step-by-step explanation:
It's a proportion question.
7/84 = x/384
84x = 7*384
84x = 2688
Divide both sides by 84 to isolate x.
x = 2688/84
x = 32
So, Sarah will have to make 32 trips to cycle a total of 384 kilometers.
(I apologize if the answer is wrong!)
Hayden has 7 shells . Elly has 5 fewer shells than Hayden . Beth has 2 shells . How many shells do they have in all?
Answer:
11 i think
Step-by-step explanation:
Find the gradient of the line
3y + 2x = 1
how to guys
Answer:
-2/3
Step-by-step explanation:
The gradient of a line is its slope. You can just convert the equation to slope-intercept form (y=mx+b where "m" is the gradient/slope):
3y + 2x = 1
3y = 1 - 2x
y = 1/3 - 2/3x
y = -2/3x + 1/3
So, as we can see, -2/3 is the gradient/slope of the line.
how do i write the word form and the expanded form for 3.4 and 2.51
Answer:
(3×1)+(4/10) & two and fifty-one hundredths
Step-by-step explanation:
In order to write a decimal in expanded form you need to create a equation that equals the decimal you are trying to expand, and for writing decimal in word form you need to remember the names of place values.
1. 3.4
[tex]3.4=(3\times`1)+(\frac{4}{10} )[/tex]
2.2.51
two and fifty-one hundredths
Hope this helps.
The length of a rectangle is one more than twice its width. If the perimeter of the rectangle is 134
centimeters, find its length.
Answer: We can set up the formula: 2L +2W = 110. We can also set up length as 2x+1 and width as x so plug this in: 2 (2x+1)+2x=110. Expanded to: 4x+2+2x=110. Rewritten as: 6x=108.
Step-by-step explanation:
Hey ! Can anyone help me with this question please ? Thank you
Answer:
x = 102°
Step-by-step explanation:
a straight line = 180°
180 - 78° = 102°
Answer:
x°+78°=180°[supplementry angle]
x°=180°-78°
x°=102°
answer