Answer:
X = 3.25
Step-by-step explanation:
273 - 10 = 263
263 divided by 81 = 3.25
Answer Check: 3.25 times 81 + 10 = 273
Hope this helps :)
consider triangle xyz. what is the approximate length of side yz? a. 13.3 units b. 38.2 units c. 15.7 units d. 47.1 units
The length of side yz is 15.7 units.
The link between the angles and sides of all kinds of triangles, including acute, obtuse, and right-angle triangles, is known as the law of sines. It asserts that for all sides and angles in a certain triangle, the ratio of a triangle's side length to the sine of an angle opposite that side is the same.
You must know two sides of an angle in a triangle or two sides and an angle across from one of them in order to employ the law of sines. You will discover the law of sines in this article, along with its definition, formula, applications, difficulties, and proof. You will also learn when to employ the rule of sines.
Law of sines is expressed as follows: x/sin X = y/sin Y = c/sin Z.
We have the following:
X = 32°
z = 24
Z = 180 - 32 - 94 = 54°
Substituting the value in x / sin X = y / sin Y = z / sin Z
We get,
x/sin (32) = 24 / sin (54)
x = sin ( 32) × (24) / sin (54)
x ≈ 15.7 units
The length of the side yz is equal to x = 15.7 units.
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Write 2x+y=17
in slope-intercept form.
Answer: y = -2x +17
Step-by-step explanation:
y = mx + b
You are trying to make the equation look like that
So you subtract the 2x to the other side
Hope this helps! :)
Answer:
y=-2x+17
Step-by-step explanation:
subtract 2x on both sides
how would i answer this?
9514 1404 393
Answer:
y = (x -1)² -16
Step-by-step explanation:
Note the location of the vertex (point A) on the graph. Its x-coordinate is readily identifiable as 1. Its y-coordinate is some value between -15 and -20, closer to -15. (If you go to the trouble of finding the vertex coordinates, you discover they are (1, -16).)
Once you have determined what the vertex is, you can compare the offered answer choices to the vertex form ...
y = (x -h)² +k
where (h, k) are the vertex coordinates. That is, you are looking for an answer choice that is something like ...
y = (x -1)² -16
You are painting your dining room white and your living room blue. You spend $132 on 5 cans of paint. The white paint costs $24 per can, and the blue costs $28 per can.
a. Which equation represents how many cans of each color you bought? Select all that apply.
1. 24x+28(5-x)=132 <<
2. 24x+28(x-5)=132
3. 24(5-x)+28(5-x)=132
4. 24(5-x)+28x=132 <<
5. 24(x-5)+28x=132
b. How much would you have saved by switching the colors of the dining room and living room?
You would have saved $___
explain.
____________________________
((PLEAS HELPP))
Using proportions, it is found that:
a. The equations are:
1. 24x+28(5-x)=132.4. 24(5-x)+28x=132.b. You would have saved $8 by switching the colors of the dining room and living room.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
For item a, considering that 5 cans were bought, there are two options:
x cans of white paint and 5 - x cans of blue paint.5 - x cans of white paint and x cans of blue paint.Hence the equations are given by:
1. 24x+28(5-x)=132.4. 24(5-x)+28x=132.The solution for x is given by:
120 - 24x + 28x = 132
3x = 12
x = 4.
Considering the possible solution, of 4 cans of blue paint and 1 can of white paint.
Exchanging the colors, the price would be of:
4 x 24 + 1 x 28 = 124.
132 - 124 = $8.
You would have saved $8 by switching the colors of the dining room and living room.
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Can someone please help mee (20 points
brainliest!!!)
Answer:
p = - 2x + 54
Step-by-step explanation:
The price-demand linear equation is
p = mx + b
which is the equation of a straight line in slope-intercept form
The parameters here are m = slope and b = y-intercept in line equation terms
x is the number of shirts sold and p is the price
Using values given, we can generate two equations which can solve for the parameters of the linear equation
To sell 10 shirts, the price has to be $34
==> 34 = m x 10 + b = 10m + b
Switch sides to get 10m + b = 34 (1)
To sell 20 shirts, the price has to be $14
==> 14 = 20m + b
Switch sides to get 20m + b = 14 (2)
Subtract (2) from (1) to eliminate the term b
(1) - (2)
==> 10m+b - (20m+b) = 34 - 14
==> 10m + b - 20m - b = 20
==> 10m - 20m = 20
==> - 10m = 20
==> m = 20/(- 10) = - 2.4
==> m = - 2.0
This term is also referred to as the elasticity of demand ie how much demand changes with respect to price change. It is negative here because as you increase the price, the demand decreases
Now that we have value for m all we have to do is plug it into one of the equations (1) or (2) and solve for b
Using equation (2),
20(- 2) + b = 14
==> - 40 + b = 14
==> 0 + b = 14 + 54(Add 48 on both sides)
==> b = 54
So the price-demand equation is
[tex]\boxed{\sf{p=-2x + 54}}[/tex]
Valerie gives her dog 12 ounces of food in the morning and 12 ounces of food at night there are 75 ounces of dog food in a bag after how many feedings will she need to buy a new bag of dog food explain how you know Valerie will need to buy a new bag of dog food after blank feedings
Answer:
Valerie will need to buy a new bag of dog food after 6 feedings because she would have 0.25 of feedings left.
Step-by-step explanation:
Total number of ounces of dog food = 75 ounces
Ounces that is fed to the dog is = 12 Ounces in the morning and 12 ounces at night.
Hence:
12 ounces = 1 feeding
75 ounces = x
Cross Multiply
12x = 75
x = 75/12
x = 6.25 feedings
Valerie will need to buy a new bag of dog food after 6 feedings because she would have 0.25 of feedings left.
Savannah is going to invest $220 and leave it in an account for 12 years. Assuming
the interest is compounded continuously, what interest rate, to the nearest tenth of a
percent, would be required in order for Savannah to end up
with $430
Answer:
5.7%
Step-by-step explanation:
The formla for calculating compound interest is expressed as;
A = P(1+r)^t
A is the amount = $430
P is the principal = $220
r is the rate
t is the time = 12 years
Substitute and get r;
430 = 220(1+r)^12
430/220 = (1+r)^12
1.955 = (1+r)^12
1.057 = 1+r
r = 1-1.057
r = 0.057
r = 5.7%
The interest rate is 5.7%
Stefanie bought a package of pencils for $1.75 and some erasers that cost $0.25 each. She paid a total of $4.25 for these items, before tax.
Exactly how ,any erasers did stefanie buy?
Answer:
(4.25-1.75)/0.25=10
she bought 10 erasers
Answer:
10 Erasers
Step-by-step explanation:
We can establish the following equation:
TP = NP*PP + NE*EP
Where:
TP = Total price; (4.25)
NP = Number of pencil packages; (1)
PP = Pencil Package's Price; (1.75)
NE = Number of erasers; (What we are looking for)
EP = Erasers Price; (0.25);
Then:
4.25 = 1*1.75 + NE*0.25;
4.25 - 1.75 = NE*0.25;
2.5/0.25 = NE;
10 = NE.
someone help me!!!please
9514 1404 393
Answer:
115 square units
Step-by-step explanation:
The area of a parallelogram is the product of base length and height. The height is the perpendicular distance between the bases.
A = bh
A = (23)(5) = 115 . . . . square units
-2.7f + 0.8f -14 -5 please help
Answer:
3.5f − 19
Explanation:
2.7f + 0.8f − 14 − 5
= 2.7f + 0.8f + −14 + −5
[ Combine Like Terms ]
= 2.7f + 0.8f + −14 + −5
= (2.7f + 0.8f) + (−14 + −5)
= 3.5f + −19
-PNW
Please help. I’m struggling to answer this
Answer:
[tex]\frac{35}{18}[/tex] π m
Step-by-step explanation:
The arc length is calculated as
arc = circumference of circle × fraction of circle
= 2πr × [tex]\frac{50}{360}[/tex] ( r is the radius )
= 2π × 7 × [tex]\frac{5}{36}[/tex]
= [tex]\frac{70}{36}[/tex] π
= [tex]\frac{35}{18}[/tex] π
Brainliest to correct answer
The relation between x and y is the same.
What is the slope-intercept equation for the line below?
Answer:
D. y = 5/4x - 4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
y-intercept (0, -4)
Random Point (4, 1)
Step 2: Find slope m
Substitute: [tex]m=\frac{1+4}{4-0}[/tex]Add/Subtract: [tex]m=\frac{5}{4}[/tex]Step 3: Write Equation
Substitute
y = 5/4x - 4
this is math practice work, and I don’t quite understand it :< hellppppp
According to the given Statement:
1. - 4 x - 6 = -24
2. -24 x (-7/6) = -28
3. 4 ÷ -6 = -(2/3)
4 . (4/3) ÷ -24 = -(1/18).
This implies that the numbers is not a whole number.
What exactly seems to be a simplified fraction?When there isn't any common factor between the denominator and numerator other than 1, a fraction is said to be in its simplest form. 11/23, for example, is a simple fraction since 11 and 23 have no common elements.
According to the given information:1. - 4 x - 6 =
2. -24 x (-7/6) =
3. 4 ÷ -6 =
4 . (4/3) ÷ -24 =
For the first :
- 4 x - 6 =
On multiplying this number we get = -24
The implies that the number is not a whole number.
The value is not in the form of p/q so the simplified fraction will be =
-4 and -6.
For the second:
-24 x (-7/6)
On solving this number we get = -24 x (-7/6)
= -4 x -7
= -28
The implies that the number is not a whole number.
The value is not in the form of p/q so the simplified fraction will be = -28/1
For the third:
4 ÷ -6
The can also be written as:
4/-6
on dividing by 2 both numerator and denominator So it gives:
-(2/3)
The implies that the number is not a whole number.
The value is not in the form of p/q so the simplified fraction will be = -(2/3).
For the fourth:
(4/3) ÷ -24
The can also be written as:
(4/3) / -24
On solving this number we get = (4/3) / -24
= 4/72
= -(1/18)
The implies that the number is not a whole number.
The value is not in the form of p/q so the simplified fraction will be =
-(1/18).
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A delivery truck is carrying an 8,713 lb pound load of pet food.At a weighing station the loaded truck weighs 17,200 lb. What is the weight of the empty truck?
What is the number which is being subtracted from another number is called
Answer:
subtrahend
Step-by-step explanation:
The number which is subtracted from another number is called "subtrahend".
10 - 2 = 8
In this subtraction, the first number, "10" is called the minuend.
The second number, "2" is called the subtrahend.
The third number "8" is the difference.
Simplify the expression.
4x+6-7x
Answer:
-3x+6
Step-by-step explanation:
Anthony Tedesco sold his used mountain bike and accessories for $276. If he received five times as much money for the bike as he did for the accessories, find how much money he received for the bike.
Answer:
$230
Step-by-step explanation:
To find out how much he received for the bike ONLY, you have to multiply a number by 5 because it is 5 TIMES the accessories.
45x5=230<-- How much he got from the bike.
45<--How much he got from the accessories.
230+45=276<--How much he got from the bike AND accessories.
Hope this helps pls give brainliest
Answer correct for brainliest!!
Answer:
im going for b
Step-by-step explanation:
Answer:
B is correct
Step-by-step explanation:
You can tell by the equation and the direction of the "<" sign that b is correct.
I've done lots of these problems before.
Write sixty-five and three hundredths
a. as a decimal number
as a mixed number
Answer:
65.03 65 3/100
Step-by-step explanation:
Sixty-five and three hundredths can be written as a decimal number as
65.03.
What is place value?The place value of a number is given as:
Example:
1234.567
1 = thousand place value
2 = hundred place value
3 = tens place value
4 = ones place value
5 = tenths place value
6 = hundredths place value
7 = thousandths place value
We have,
Sixty-five and three hundredths
Sixty-five = 65
Three hundredths = 0.03
Now,
We can write as a decimal number as,
65.03
Thus,
The decimal number is 65.03
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Mr. Rozario bought some oranges and some apples. The ratio of oranges to apples is 2:5. He gave 3/4 to his sister and 34 oranges to his brother. He now has a ratio of 2:3. How many oranges and apples did he buy?
Answer:
He bought 544 oranges and 1,360 apples
Step-by-step explanation:
Here, we want to know the number of oranges and apples bought
Let the number of oranges be x and the number of apples be y
Looking at their ratios;
x:y = 2:5
so;
x/y = 2/5
2y = 5x ••••••(i)
Now, he lost 3/4 of the apples ( by giving out)
What would be left with him is (1-3/4) = 1/4 * y = 0.25y
What is left with him out if the oranges will be; x-34
So now;
0.25y/x-34 = 2/3
3(0.25y) = 2(x-34) •••••••(ii)
From i, y = 5x/2 = 2.5x
Putting this into ii above, we have
3(0.25)(2.5x) = 2x - 68
1.875x = 2x-68
2x-1.875x = 68
0.125x = 68
x = 68/0.125
x = 544
But y = 2.5x
y = 2.5 * 544 = 1,360
Write the recursive formula of 13, 9, 5...
Step-by-step explanation:
a(n) = a +(n-1)d
a=13
d=9-13=5-9=-4
°.° a(n) = 13 +(n–1)-4
hope this helps
Which image shows the correct position of M(-4, 3)?
A.
graph A
B.
graph B
C.
graph C
D.
graph D
Answer:
Graph A
Step-by-step explanation:
Simplify the expression using the Distributive Property.
½(10x + 20y)
Answer:
Step-by-step explanation:
The distributive property affects both terms.
1/2 * 10x + 1/2 * 20 y
5x + 10 y <===== Answer
Answer:
5x+10y
Step-by-step explanation:
1/2•10= 5
1/2•20= 10
5x+10y
can someone help and explain please? i’ll mark brainliest! thank you
Please help and fill in the blanks.
Answer:
a) x and y are not inversely proportional.
b) x and y are inversely proportional.
The value of k is: k=30
Step-by-step explanation:
We need to find if x and y are inversely proportional
If x and y are inversely proportional we will have: [tex]k=yx[/tex]
a)
x y k=yx
3 8 24
4 6 24
5 4.8 24
5.5 4 22
As for all values of y and x, k is not constant so, x and y are not inversely proportional.
b)
x y k=yx
0.1 300 30
0.5 60 30
75 0.4 30
100 0.3 30
As for all values of y and x, k is constant so, x and y are inversely proportional.
The value of k is: k=30
16x – 20y
20y = 60
Slope intercept form
Answer:
16x=60
X=15/4
Step-by-step explanation:
What are the area and the perimeter of a polygon with vertices( 1,-2), (1,5) (7,2)
Answer: P=7+3√5+2√13 units S=21 quadratic units
Step-by-step explanation:
[tex]A(1,-2)\ \ \ \ B(1.5)\ \ \ \ C(7,2)\\[/tex]
The perimeter of a triangle
[tex]|AB|=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2} \\|AB|=\sqrt{(1-1)^2+(5-(-2))^2} \\|AB|=\sqrt{0^2+(5+2)^2}\\|AB|=\sqrt{0+7^2}\\ |AB|= \sqrt{7^2} \\|AB|=7[/tex]
[tex]|BC|=\sqrt{(x_C-x_B)^2+(y_C-y_B)^2} \\|BC|=\sqrt{(7-1)^2+(2-5)^2}\\ |BC|=\sqrt{6^2+(-3)^2}\\ |BC|=\sqrt{36+9}\\ |BC|= \sqrt{45} \\|BC|=\sqrt{9*5}\\ |BC|=3\sqrt{5}[/tex]
[tex]|AC|=\sqrt{(x_C-x_A)^2+(y_C-x_A)^2}\\ |AC|=\sqrt{(7-1)^2+(2-(-2)^2} \\|AC|=\sqrt{6^2+(2+2)^2}\\ |AC|=\sqrt{36+4^2}\\ |AC|=\sqrt{36+16} \\|AC|=\sqrt{52}\\ |AC|=\sqrt{4*13} \\|AC|=2\sqrt{13} \\[/tex]
[tex]Thus,\\\\P_{ABC}=|AB|+|BC|+|AC|\\\\P_{ABC}=7+3\sqrt{5}+2\sqrt{13}\ units[/tex]
The area of a triangle
Taking A as the first vertex, we find:
[tex]\displaystyle\\Find\ |\overline{AB}*\overline{AC}|\\\left|\begin{array}{cc}x_A-x_C&y_A-y_C\\x_B-x_C&y_B-y_C\\\end{array}\right|=\\\\\left|\begin{array}{ccc}1-7&-2-2\\1-7&5-2\\\end{array}\right| =\\\\\left|\begin{array}{ccc}-6&-4\\-6&3\\\end{array}\right| =\\\\|(-6)*3-(-6)*(-4)|=\\\\|-18-24|=\\\\|-42|=\\\\42\\\\S_{ABC}=\frac{1}{2} |\overline{AB}*\overline{AC}|\\\\S_{ABC}=\frac{1}{2}(42)\\\\S_{ABC}=21 \ quadratic\ units[/tex]
my exams are coming near ........and i have lots of homework to do .....what to choose i I don't have any idea????????
a line with the slope of 3/4 contains the point (1.2). which plot also lies on the line?
A. (4,6)
B. (4,7)
C. (5,5)
D. (5.6)
Answer:
c or d
Step-by-step explanation: