Answer:
118/15 or 7.8666666666666666666666666666666666666666666666666666666666666666... decimal
Step-by-step explanation:
Simplify the following:
(1 + 1/9) (4 + 1/2) + 3 + 1/5 - 1/3
Put 1 + 1/9 over the common denominator 9. 1 + 1/9 = 9/9 + 1/9:
9/9 + 1/9 (4 + 1/2) + 3 + 1/5 - 1/3
9/9 + 1/9 = (9 + 1)/9:
(9 + 1)/9 (4 + 1/2) + 3 + 1/5 - 1/3
9 + 1 = 10:
10/9 (4 + 1/2) + 3 + 1/5 - 1/3
Put 4 + 1/2 over the common denominator 2. 4 + 1/2 = (2×4)/2 + 1/2:
10/9 (2×4)/2 + 1/2 + 3 + 1/5 - 1/3
2×4 = 8:
10/9 (8/2 + 1/2) + 3 + 1/5 - 1/3
8/2 + 1/2 = (8 + 1)/2:
10/9 (8 + 1)/2 + 3 + 1/5 - 1/3
8 + 1 = 9:
10/9×9/2 + 3 + 1/5 - 1/3
10/9×9/2 = (10×9)/(9×2):
(10×9)/(9×2) + 3 + 1/5 - 1/3
(10×9)/(9×2) = 9/9×10/2 = 10/2:
10/2 + 3 + 1/5 - 1/3
The gcd of 10 and 2 is 2, so 10/2 = (2×5)/(2×1) = 2/2×5 = 5:
5 + 3 + 1/5 - 1/3
Put 5 + 3 + 1/5 - 1/3 over the common denominator 15. 5 + 3 + 1/5 - 1/3 = (15×5)/15 + (15×3)/15 + 3/15 - 5/15:
(15×5)/15 + (15×3)/15 + 3/15 - 5/15
15×5 = 75:
75/15 + (15×3)/15 + 3/15 - 5/15
15×3 = 45:
75/15 + 45/15 + 3/15 - 5/15
75/15 + 45/15 + 3/15 - 5/15 = (75 + 45 + 3 - 5)/15:
(75 + 45 + 3 - 5)/15
| 1 |
| 7 | 5
| 4 | 5
+ | | 3
1 | 2 | 3:
(123 - 5)/15
| | 1 | 13
| 1 | 2 | 3
- | | | 5
| 1 | 1 | 8:
Answer: 118/15
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[tex]1 \frac{1}{9} \times 4 \frac{1}{2} + (3 \frac{1}{5} - \frac{1}{3} ) = \\ [/tex]
[tex] \frac{9 + 1}{9} \times \frac{8 + 1}{2} + ( \frac{15 + 1}{5} - \frac{1}{3} ) = \\ [/tex]
[tex] \frac{10}{9} \times \frac{9}{2} + ( \frac{16 \times 3}{5 \times 3} - \frac{1 \times 5}{3 \times 5} ) = \\ [/tex]
[tex] \frac{9 \times 10}{9 \times 2} + ( \frac{48}{15} - \frac{5}{15} ) = \\ [/tex]
[tex] \frac{10}{2} +( \frac{48 - 5}{15} ) = \\ [/tex]
[tex]5 + ( \frac{43}{15} ) = \\ [/tex]
[tex] \frac{75}{15} + \frac{43}{15} = \frac{118}{15} \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Solve the triangle. Round side lengths to the nearest tenth and angle measures to the nearest degree.
Answer:
b = 13.8
A = 45°
C = 35°
Step-by-step explanation:
Given:
m<B = 100°
a = 10
c = 8
Required:
b, m<C, and m<A
✔️Find b using Cosine Rule:
b² = a² + c² - 2*ac*Cos(B)
Plug in the values
b² = 10² + 8² - 2*10*8*Cos(100)
b² = 164 - (-27.7837085)
b² = 191.783709
Take the square root of both sides
b = 13.8 (nearest tenth)
✔️Find m<C using Sine rule:
[tex] \frac{Sin(C)}{c} = \frac{Sin(B)}{b} [/tex]
Plug in the values
[tex] \frac{Sin(C)}{8} = \frac{Sin(100)}{13.8} [/tex]
Multiply both sides by 8
[tex] \frac{Sin(C)}{8} \times 8 = \frac{Sin(100)}{13.8} \times 8 [/tex]
[tex] Sin(C) = \frac{Sin(100) \times 8}{13.8} [/tex]
[tex] Sin(C) = 0.5709 [/tex]
[tex] C = Sin^{-1}(0.5709) [/tex]
[tex] C = 35 [/tex] (nearest degree)
m<C = 35°
✔️m<A = 180 - (100 + 35) (sum of triangle)
m<A = 180 - 135
m<A = 45°
Devon is saving money for a ski trip. He has already saved $62.50, but his goal is to save at least $100. What is the least amount Devon needs to save to reach his goal? Let m= money:
Answer:
Step-by-step explanation:
You have to divide 100 by 62.50= m answer
8 4/5 ÷ 4 = ?
The principal is equally distributing 8 4/5 cakes on 4 tables for a school party. How many cakes are on each table?
Answer:
Step-by-step explanation:
8 4/5 divided by 4= 2.2
Simplify this expression
Angela uses a scanner to make a reduced-size (smaller) copy of a rectangular photo that is 8 inches long and 4 inches wide. The new length is 4 inches. What is its new width?
Answer:
The new width = 2 inches
Step-by-step explanation:
Original dimensions of the rectangular photo:
Length : width = 8 inches : 4 inches
Reduced dimensions of the rectangular photo:
Let
x = the new width
Length : width = 4 inches : x inches
Equate both dimensions to get the value of x
Length : width
8 inches : 4 inches = 4 inches : x inches
8 / 4 = 4 / x
Cross product
8 * x = 4 * 4
8x = 16
x = 16/8
x = 2 inches
The new width = 2 inches
PLEASE HELP DUE IN 10 MINTUES SDJKFHKJSHDH
the 2nd answer makes the most since
Which expression is represented by the diagram?
A. -6-(-4)
B. -6-4
C. -10-4
D. -10-(-4)
WILL MARK BRAINLIEST IF CORRECT! PLS HELP
Answer:
[tex]y^{\frac{2}{5}}[/tex]
Step-by-step explanation:
[tex]2 - \frac{4}{5} = \frac{2*5}{1*5}-\frac{4}{5}\\\\ = \frac{10}{5}-\frac{4}{5}\\\\= \frac{6}{5}[/tex]
[tex]\frac{a^{m}}{a^{n}}=a^{m-n}\\\\[/tex]
[tex]\sqrt[3]{\frac{y^{2}}{y^{\frac{4}{5}}}} =\sqrt[3]{y^({2-\frac{4}{5})}} \\\\=\sqrt[3]{y^{\frac{6}{5}}}\\\\=(y^{\frac{6}{5}})^{\frac{1}{3}} \\\\=y^{\frac{6}{5}*\frac{1}{3}}\\\\= y^{\frac{2}{5}}[/tex]
[tex]\frac{1}{2} w -5\ \textless \ -2[/tex]
what is 2%= in simplest form
Answer:
.50
Step-by-step explanation:
that's it in a decimal form
Answer:
0.02
Step-by-step explanation:
Find h. (system of equations)
Step-by-step explanation:
xtan45° = (x+600)tan30°
x(tan45°-tan30°) = 600tan30°
x = 819.62m.
Therefore h = xtan45° = x = 819.62m.
A pencil holder shaped like a triangular prisms height is 12 cm, and the volume of the pencil holder is 216 cm3. What is the area of the base of the pencil holder in square centimeters
Answer:
The area of the base of the pencil holder in square centimeters is 18 square centimeters
Step-by-step explanation:
The volume of a triangular prism is given as base area X height.
To get the base area, we can quickly shuffle the order of the terms to make sure that the base area is the subject of the formula.
Base area = volume of prism / height
Base area = 216/12 = 18 square centimeters
Therefore, the area of the base of the pencil holder in square centimeters is = 18 square centimeters
-7x + 3 = x + 11
what is x
Answer: x=-1
Step-by-step explanation: hope this helps!
Can u help me with my math
Answer:
B=310 because..well just do the math.
Step-by-step explanation:
Help help help help !
Answer:Its D
Step-by-step explanation:
6
Express in exponential form.
I will mark you brainliest
Miss Johnson gave a $1.50 tip to a waitress for serving a meal costing $10.00. What percent of the bill was her tip? PLZ ANSWER THIS ILL GIVE YOU A FOLLOW 50 POINTS ASAP
Answer:
it's 15 percent
Step-by-step explanation:
1% = 0.10
2% = 0.20 and so on
so we know that 1% is 0.10 so if you multipy 15 x 10= 150 and if you do 1.50 divieded by 10 you would get 15 :)
(sorry if this is wrong)
im stressing and im losing points. i need help please
Answer:
I think it is X or Y. I might be wrong.
Answer:
∠Y = 85° , side XZ
Step-by-step explanation:
180 = 5x - 1 + 8x + 5 + 4x + 6
180 + 1 - 5 - 6 = 5x + 8x + 4x
170 = 17x
x = 170 / 17
x = 10
∠X = 5(10) - 1 = 49°
∠Y = 8(10) + 5 = 85°
∠Z = 4(10) + 6 = 46°
therefore, the longest side of a triangle is the opposite site of
∠Y = 85° , side XZ
Hayley is considering two gym membership plans. The plans are detailed here.
Plan 1: $50 for a monthly pass and a $3 fee for each gym visit
Plan 2: $10 for each gym visit
What is a system of equations that represents the costs of the plans?
Express your equations in the form y=mx+b where x is the number of gym visits per month and y is the total cost per month.
What is the slope of a line perpendicular to the line whose equation is 6x+4y=-56
The slope of the line perpendicular to the line whose equation is 6x + 4y = - 56 is 2/3.
Two lines with slopes m₁ and m₂ are parallel when m₁ = m₂ and perpendicular when m₁*m₂ = -1.
In the question, we are asked for the slope of the line perpendicular to the line whose equation is 6x + 4y = - 56.
Representing the given equation is the slope-intercept form y = mx + b, we get:
6x + 4y = - 56,
or, 4y = - 6x - 56,
or, y = (-6/4)x + (-56/4),
or, y = (-3/2)x + (-14),
we get the slope, m is (-3/2), and the y-intercept, b is (-14).
Assuming the slope of the required line to be m₁, we know that m₁*m = -1, as the two lines are perpendicular to each other.
Thus, m₁*(-3/2) = -1,
or, m₁ = 2/3.
Thus, the slope of the line perpendicular to the line whose equation is 6x + 4y = - 56 is 2/3.
Learn more about perpendicular lines at
https://brainly.com/question/6710896
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Hii can someone help me this is science I didn’t mean to put math and this is 6th grade work btw I’ll give you BRAINLIST if you want one no joke ! Please answer does 2 questions
Answer:
Lunar, and solar eclipse!
Step-by-step explanation:
This first one, is pretty easy! An easy way to remember it is solar is sun (both start with s), so lunar is moon!
The second one is solar eclipse, since the moon passes between the sun and earth, which causes the moon's shadow to fall on earth!
I hope this helps, and I'm here if you need anything else! <3
A)y=-2x+3, y=2
B)y=-2x-3, x=2
C)y=2x-3, y=2
D)y=2x+3,x=2
In which group on the Periodic Table does the atom pictured belong?
A)
4
B)
6
16
D
14
Write an equation in slope intercept form of the line that passes through the point (-5, -1) with slope -3.
Answer:
y= -3x-16
Step-by-step explanation:
slope intercept form is written as y=mx+b. m is the slope, and b is the y-intercept. -3=m
we know that (-5,-1) is 5 points away from the origin, and that the slope is -3, so 5 times -3 equals -15. subtract 15 from -1 (y-coordinate) in order to get the y-intercept (when x=0).
4÷5679 please paki answer
Answer:
4÷5679= 0.000704349357
but i think u want
5679÷ 4 = 1,419.75
Answer:
0.0007(approximately)
Step-by-step explanation:
is 3399 a rational number
Francis heard that a car radio was on sale for 30% off. If the sale price was $57.75, what was the original price of the raido?
A. $82.50
B. $75.30
Answer
b
step-by-step explanation:
Answer:
a 82.50
Step-by-step explana
82.50
30.00
pluse taxt =3.00
52.50.50
30.00
82 . 50
SOMEONE HELP ASAP PLS!!
Point K lies at (-3,4). Point K is reflected over the y-axis and then translated 7 units down to produce K'. Which rule could have been used to produce K’ from K?
Answer:
K(x,y) →K'(-x, y-7) (B)
Step-by-step explanation:
You have $50 in your wallet at the mall and buy a new pair of jeans and now you only have $16 in your wallet how much did the jeans cost
please answer my question
Answer:
dogs and birds..........