Answer:
Divide 5 by 16 and that’s 0.3125 round to 0.31
Answer:
In order to convert any fraction, you must divide the numerator by the denominator.
So, do 5 divided by 16.
Once we do that, we get 0.3125, or 3125/10000.
I hope this helped at all.
What is the x-intercept of the line with this equation 1/3x + y =-15?
Enter your answer in the box.
( ,0)
Answer:
(-45,0)
Step-by-step explanation:
Question
The dimensions of a sports pennant are given in the diagram. Find the values of x and y.
Answer:
x= 79° y= 22°
Step-by-step explanation:
x is the same as 79
79+79= 158
180° in a triangle
180-158= 22°
Someone please help me
Step-by-step explanation:
distance QR :
Pythagoras, as the distance between 2 points is the Hypotenuse (baseline) of a right-angled triangle of the differences of the x and y coordinates.
QR² = (12 - 2)² + (-2 - -7)² = 10² + 5² = 125
QR = sqrt(125) = sqrt(25×5) = 5×sqrt(5)
PQ = 2×QR = 10×sqrt(5) = sqrt(100×5) = sqrt(500)
PQ² = (h - 12)² + (18 - -2)² = h² - 24h + 144 + 20²
500 = h² - 24h + 144 + 400
0 = h² - 24h + 44
since a quadratic equation :
h = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = -24
c = 44
h = (24 ± sqrt(576 - 176))/2 = (24 ± sqrt(400))/2 =
= (24 ± 20)/2 = 12 ± 10
h1 = 22
h2 = 2
since the trapezium opens up to the right at the angle Q, it must be the value further to the right : h = 22.
the line QR has the slope (ratio y difference / x difference) :
x changes by +10 (from 2 to 12).
y changes by +5 (from -7 to -2).
the slope is 5/10 = 1/2
SP has the same slope (parallel line).
SR is perpendicular to these 2 lines. its slope is x and y differences upside-down in the ratio, and the sign is flipped.
the SR slope is therefore -2/1 = -2
the general line equation is
y = ax + b
a is the slope, b is the y- intercept (y value when x = 0).
we get b by using the known point coordinates in the half finished equation with the slope.
the SP equation is
y = (1/2)x + b
we know P (22, 18). so,
18 = (1/2)×22 + b = 11 + b
7 = b
the full SP line equation is
y = (1/2)x + 7
the RS equation :
y = -2x + b
we know R (2, -7). so,
-7 = -2×2 + b = -4 + b
-3 = b
the full RS equation is
y = -2x - 3
the coordinates of S we get by crossing RS and SP :
(1/2)x + 7 = -2x - 3
x + 14 = -4x - 6
5x = -20
x = -4
now using that in any of the 2 line equations
y = -2×-4 - 3 = 8 - 3 = 5
so, S = (-4, 5)
the distance SP is
SP² = (22 - -4)² + (18 - 5)² = 26² + 13² = 676 + 169 =
= 845
SP = sqrt(845) = sqrt(169×5) = 13×sqrt(5)
the distance RS is
RS² = (-4 - 2)² + (5 - -7)² = (-6)² + 12² = 36 + 144 = 180
RS = sqrt(180) = sqrt(36×5) = 6×sqrt(5)
the area of the trapezium is the sum of the rectangle of SRQ (and the 4th point being around the middle of SP) and the triangle of PQ and this 4th rectangle point.
the area of the rectangle is
6×sqrt(5)×5×sqrt(5) = 30×5 = 150
the area of the triangle is
base×height/2
height is the same as RS = 6×sqrt(5).
base is the part of SP from the 4th rectangle point to P, and that is the same as
SP - QR = 13×sqrt(5) - 5×sqrt(5) = 8×sqrt(5)
so, we have for the area of the triangle
6×sqrt(5)×8×sqrt(5)/2 = 3×sqrt(5)×8×sqrt(5) = 24×5 = 120
the total area of the trapezium is
150 = 120 = 270
8x+y= -16
-3x+y= -5
Elimination Hard. Write the System of Equations in Section #5 on your lined paper.
Multiply one of the equations by a (-1), so that the coefficients in both equations will be opposites.
- Solve the System of Equations using Elimination.
Enter your answer as (___,___)
Answer:
dude i have the same question
Step-by-step explanation:
WHAT IS THE ANSWER
The other question is in the picture
Activity 2: of Directions: Write T before each item if the statement is TRUE, otherwise write F.
For items 1-2: Use the problem below to answer the following questions.
Your mother invested PhP 10,000.00 in an investment institution at 5% compounded semi-annually for x years.
___1. y = 10 000(1.025)2x is the function that represents mother's total investment
Using compound interest, it is found that the correct options are:
1. True.
2. True.
Compound interest:
[tex]A(x) = P\left(1 + \frac{r}{n}\right)^{nx}[/tex]
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year. x is the time in years for which the money is invested or borrowed.Item 1:
Invested 10000, hence [tex]P = 10000[/tex].Semi-annually, hence [tex]n = 2[/tex].Interest rate of 5%, hence [tex]r = 0.05[/tex]Then:
[tex]A(x) = P\left(1 + \frac{r}{n}\right)^{nx}[/tex]
[tex]A(x) = 10000\left(1 + \frac{0.05}{2}\right)^{2x}[/tex]
[tex]A(x) = 10000(1.025)^{2x}[/tex]
Hence option 1 is True.
Item 2:
Quarterly, hence [tex]n = 4[/tex].Then:
[tex]A(x) = P\left(1 + \frac{r}{n}\right)^{nx}[/tex]
[tex]A(x) = 10000\left(1 + \frac{0.05}{4}\right)^{4x}[/tex]
[tex]A(x) = 10000(1.0125)^{4x}[/tex]
Hence option 2 is also True.
A similar problem is given at https://brainly.com/question/24507395
Is it -30 or 30 Thanks
Answer:
24
Step-by-step explanation:
27 + -3=24
2. The delivery trucks are all different sizes. That means the workers have to change the number of boxes that go on a truck. Three small delivery trucks can hold 330 boxes. If the same number of boxes is in each truck, how many boxes can one small delivery truck hold?
Answer:
Each small truck can hold a total of 110 boxes.
Step-by-step explanation:
It says three small delivery trucks can hold 330. That meant all three together. So you just have to do 330 divided by 3 and you get 110. So that's the number of boxes ONE small truck can hold. Also, If u do it backward, 3 x 110 =330.
Find the ratio as simply as possible in the form a : b.
[tex]3 \frac{1}{2} : 1 \frac{1}{7} [/tex]
_________
[tex] \: [/tex]
[tex]3 \frac{1}{2} : 1 \frac{1}{7} [/tex]
[tex] = \frac{3 \frac{1}{2} }{1 \frac{1}{7} } [/tex]
[tex] = \frac{ \frac{7}{2} }{ \frac{8}{7} } [/tex]
[tex] = \frac{7}{2} \times \frac{7}{8} [/tex]
[tex] = \frac{49}{16} [/tex]
[tex] = 49 : 16[/tex]
Help me please in this problem
Cindy bought 2 boxes of face masks that costs ₱69.75 each box and a gallon of alcohol cost ₱359.95. How much does it cost to buy those items?
What is - 1+12 Give your answer as a fraction in its simplest form.
Step-by-step explanation:
as u can use the rules of numbers u can realize -1+12=12-1=11
Answer:
-
Step-by-step explanation:
-1+12
=12-1
=11
:)
Solve the math problem
Answer:
1 -66
2. 162
3.11/-2
4. 8/-11
5.12/0
6. 0
7. 15/14
8. 2/-5
Step-by-step explanation:
1/2 divided by 1 3/7
Answer:
7/20
Step-by-step explanation:
1/2 divided by 1 3/7
Keep Change Flip
1 3/7=10/7
1/2 x 7/10 = 7/20
Triangle EFG is dilated by a scale factor of \frac{2}{3}
3
2
to form triangle E'F'G'. What is the measure of side FG?
Answer:
B. 36°
Step-by-step explanation:
Dilation does not change the angle measures or the direction of the lines. Angle F is the same as corresponding angle F'.
A sum of money is shared in the ratio 3:7.
If the smaller share is $450, what is the
8
larger share?
(A) $315
(B) $1050
$1500
(D)
$3150
| (C)
Answer:
B) $1050
Step-by-step explanation:
[tex]450(7/3)=(450)(7)/3=3150/3=1050[/tex]
Hope this helps
purchased two candles from Target. The first candle has a height of 10 inches and burns at a rate of 3 inches per hour. The second candle has a height of 8 inches and burns at a rate of 2 inches per hour. After how many hours will both candles be at the same height?
Answer:
In 2 hours
Step-by-step explanation:
10/3 8/2
10-6 = 4
6 from 3*2(aka the hours)
8-4 = 4 from 2*2(aka the hours)
you can also set this up like
10-3x=8-2x and solve for it
Answer: At the 2 hour mark.
Step-by-step explanation:
10-3=7. 7-3=4
8-2=6. 6-2=4
Please help me asap
The line passing through which two points is perpendicular to the line 10x + 2y = 2?
A.) (-2, -7) and (1, 8)
B.) (-5, 5) and (0, 4)
C.) (0,-9) and (5, -8)
D.) (-4, 12) and (-2,2)
E.) (-2, 11) and (1, -4)
Considering the definition of perpendicular line, the correct option is option C): the line passing through (0,-9) and (5, -8) is perpendicular to the line 10x + 2y = 2.
Linear equationA linear equation o line can be expressed in the form y = mx + b
where
x and y are coordinates of a point.
m is the slope.
b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.
Knowing two points (x₁, y₁) and (x₂, y₂) of a line, the slope m of said line can be calculated using the following expression:
m= (y₂ - y₁)÷(x₂ - x₁)
Perpendicular linePerpendicular lines are lines that intersect at right angles or 90° angles. If you multiply the slopes of two perpendicular lines, you get –1.
Perpendicular line in this caseIn this case, the line is 10x + 2y=2. Expressed in the form y = mx + b, you get:
2y=2 - 10x
y= (-10x +2)÷ 2
y= -10/2x +2/2
y= -5x +1
The line has a slope of -5. If you multiply the slopes of two perpendicular lines, you get –1, you get:
-5× slope perpendicular line= -1
slope perpendicular line= (-1)÷ (-5)
slope perpendicular line= 1/5
The line through two points must have a slope equal to 1/5. So you calculate the slope of each line that passes through two points as follows:
(x₁, y₁)= (-2, -7) and (x₂, y₂)= (1, 8): m= (8 - (-7))÷(1 - (-2)) → m= (8+7)÷ (1+3) → m= 15÷4= 15/4(x₁, y₁)= (-5, 5) and (x₂, y₂)= (0, 4): m= (4- 5)÷(0 - (-5)) → m= (-1)÷ (0 + 5) → m= -1÷5= -1/5(x₁, y₁)= (0, -9) and (x₂, y₂)= (5, -8): m= (-8 - (-9))÷(5 - 0) → m= (-8+9)÷ (5) → m= 1÷5= 1/5(x₁, y₁)= (-4, 12) and (x₂, y₂)= (-2, 2): m= (2 - 12)÷(-2 - (-4)) → m= (-10)÷ (-2+4) → m= -10÷2= -5(x₁, y₁)= (-2, 11) and (x₂, y₂)= (1, -4): m= (-4 -11)÷(1 - (-2)) → m= (-15)÷ (1+2) → m= -15÷3= -5Since the perpendicular line must have a slope equal to 1/5, the line passing through (0,-9) and (5, -8) is the correct line.
Learn more about perpendicular line:
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Here is a linear equation: y = 1/4x + 2 What is the x-intercept of the graph of the equation?
Answer:
(−8,0)
Step-by-step explanation:
The x- intercept is (-8, 0)
What is Intercept?A line's slope and intercept give information on its steepness and the point at which it crosses an axis, respectively. The linear relationship between two variables is defined by the slope and intercept, which can be used to calculate the average rate of change.
Given:
Equation: y= -1/4 x + 2
Now, for x- intercept take y= 0
So, 0 = 1/4x + 2
1/4x = -2
x= -8
Hence, the x- intecrcept is (-8, 0)
Learn more about intercept here:
https://brainly.com/question/14180189
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Find the value of x that makes p and q
Answer:
14)
[tex]{ \rm{(5x - 9) \degree + (2x) \degree = 180 \degree}} \\ { \tt{ \{straight \: line \: angles \}}} \\ { \rm{7x - 9 = 180}} \\ { \rm{7x = 189}} \\ { \boxed{ \mathfrak{answer :{ \rm{ \: \: x = 27}} }}}[/tex]
15)
[tex]{ \rm{63 \degree + (9x + 36) \degree = 180 \degree}} \\ { \rm{9x + 99 = 180}} \\ { \rm{9x = 81}} \\ { \boxed{ \mathfrak{answer : \: \: { \rm{x = 9}}}}}[/tex]
[tex]{ \underline{ \mathfrak{ \green{Good \: grace}} \: \:⚜ \: \: { \blue{ \mathfrak{Good \: God}}}}}[/tex]
Please help the screenshot is below. Find the domain. THE ANSWER IS NOT x≠2.
Answer:
x>2 or (2,∞)
Step-by-step explanation:
if x≤2, 3*|2-x| = 3*(2-x) = 6-3x
3*|2-x| +3x-6 = (6-3x) + 3x-6 = 0 ... f(x) -> ∞ denominator = 0
if x>2, 3*|2-x| = 3*-(2-x) = -6+3x
3*|2-x| +3x-6 = (-6+3x) + 3x-6 = 6x - 12 >0
The domain for f(x) is all real numbers ___ than or equal to 2
Step-by-step explanation:
f(x) = 2x² + 5√(x - 2)
Domain
√(x - 2) ≥ 0
x - 2 ≥ 0
x ≥ 2
x is greater than or equal to 2
Answer: Greater than
Step-by-step explanation:
Which statement is true?
A. 4.273 > 4.289
B. 5.306 > 5.360
C. 6.724 > 6.719
D. 7.428 < 7.423
Answer:
C
Step-by-step explanation:
6.724 is larger than 6.719
name the congruent triangles
will give brainliest
Answer:
ΔOGD ≅ΔPRC
Step-by-step explanation:
SAS
Mali has half of the cost of a day trip to a theme park for two people, and Sarah has one-third of the cost. What fraction of the cost do they have?
Answer:
5/6
Step-by-step explanation:
1/2=3/6
1/3=2/6
2/6+3/6=5/6
if my perimeter is 17 then how much is n in this question/photo?
Answer:
hope it helps you........
help please i don’t understand
Answer:
567
Step-by-step explanation:
you gotta keep dreaming multiply the 6 then the 5
Find the values of x y and z
(Show work)
Step-by-step explanation:
=> z = 44 + 58 =102°
=> x + z = 180°
=> x = 180 - 102 = 78°
=> y + x + 13 = 180
=> y = 180 -13-78 = 89°
Alberto has $2.25 in dimes and nickels in his pocket. He has nine more nickels than dimes. How many of each type of coin does he have?
I really need help!
Alberto has 12 Dimes and 21 Nickels in his pocket.
How many of each type of coin does he have?Dimes value = 0.10$
Nickels value = 0.05$
Let d = number of dimes = 0.10d
Let d+9 = number of nickels = 0.05(d + 9)
Value of the Dimes + Value of the Nickels = total value of the coins
Write the equation:
0.10d + 0.05(d + 9) = 2.25
Distribute:
0.10d + 0.05d + 0.45 = 2.25
0.15d + 0.45 = 2.25
Subtract 0.45 from each side:
0.15d = 1.80
Divide to find the number of dimes.
d = 12
The number of nickels is d +9 = 12 + 9 = 21
Alberto has $2.25 in dimes and nickels in his pocket. He has 12 Dimes and 21 Nickels in his pocket.
Learn more about problem-solving here: brainly.com/question/23945932
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10x + 44
8x - 23
It’s solving for X in triangles
Answer:
x=33.5
Step-by-step explanation:
a number of students are standing in a circle. they are evenly spaced and the fith student is directly opposite the eleventh student. how many students are there all together
Answer:
There would be 12
Step-by-step explanation:
Jessica and her family bought 5 tickets to a
music concert. Tickets for adults cost $5.10 and
tickets for children cost $3.60. Jessica and her
family spent a total of $21. How many tickets
for adults (a) and how many tickets for children
(c) did they buy?
a + c = 5
5.1a + 3.6C = 21
[?] adults [ ] children
Step-by-step explanation:
work is shown and pictured
