Answer:
younger sibling = 29 years
older sibling = 35 years
Step-by-step explanation:
Let
x = younger sibling
y = older sibling
x + y = 64 (1)
The older sibling was born 6 years before their young sibling
x = y - 6 (2)
Substitute x = y - 6 into (1)
x + y = 64
y - 6 + y = 64
2y = 64 + 6
2y = 70
y = 70/2
y = 35 years
Substitute y = 35 into (2)
x = y - 6
x = 35 - 6
x = 29 years
Stephanie took advantage of the interest-only financing from Rooms-To-Go and borrowed $2,000 with a 15 percent annual interest rate. How much will she have paid in interest after 8 months?
Answer: $200
Step-by-step explanation
Principal = $2000
Rate = 15%
Time = 8 months = 8/12 = 2/3 years
Interest = Principal × Rate × Time
= 2000 × 15% × 2/3
= 2000 × 15/100 × 2/3
= $200
The interest is $200
Graph (–4, 5), (2, 3), (–3, 0), (–4, –5), (–5, 2), and
(–5, 3) and connect the points to form a polygon.
Answer:
Detail attached
Step-by-step explanation:
12 cos theta minus 16 sin theta is equal to zero find 2 sin theta + cos theta
Answer:
2sinθ + cosθ = 2
Step-by-step explanation:
12 cos θ - 16 sinθ = 0
=> 3 cos θ -4 sin θ = 0
=> tanθ = 3/4
let P = 3x
B = 4x
=> H= 5x
=> sinθ = P/H = 3/5
cosθ = B/H = 4/5
2sinθ + cosθ
= 2× 3/5 + 4/5
= 6/5+4/5
= 10/5
= 2
=> 2sinθ + cosθ = 2
Answer:
2sinθ + cosθ = 2
Step-by-step explanation:
12 cos θ - 16 sinθ = 0
=> 3 cos θ -4 sin θ = 0
=> tanθ = 3/4
let P = 3x
B = 4x
=> H= 5x
=> sinθ = P/H = 3/5
cosθ = B/H = 4/5
2sinθ + cosθ
= 2× 3/5 + 4/5
= 6/5+4/5
= 10/5
= 2
Plz help there is picture
Answer:
the first one is right ahaha
Step-by-step explanation:
Solve the equation:
-35 = -30 - b
Plzzzzz help
Given right triangle ABCABC with altitude \overline{BD} BD drawn to hypotenuse ACAC. If AC=16AC=16 and DC=3,DC=3, what is the length of \overline{BC} BC in simplest radical form?
Answer:
4√3
Step-by-step explanation:
Find the diagram attached
Using the similarity theorem of a triangle based on the legs (sides)
AC/BC = BC/DC
Given
AC = 16
DC = 3
Required
BC
Substitute the given values
16/BC = BC/3
Cross multiply
BC² = 16×3
BC² = 48
BC = √48
BC = √16×3
BC = 4√3
Hence the measure of BC is 4√3
8 gallons of soil are needed to fill 6 large plant pots. How many gallons are needed to fill 8 pots? Give your answer as a mixed number.
Answer:
9.5 gallons of soil.
Step-by-step explanation:
8 divided by 6 is .75, meaning each pot has .75 gallons of soil.
8 plus .75 plus .75 equals 9.5 gallons of soil.
2 1/4 x 1 1/2 x 5/3?????
Answer:
20 5/8
Step-by-step explanation:
here u gooooo that's the answer
Triangle QRS is isosceles with m(∠R) = 107°. What is m(∠Q)
Answer:
36.5 degrees
Step-by-step explanation:
An isosceles triangle is a triangle in which two angles are equal
The sum of angles in the triangle is 180°
If one of the angles is 107°, the sum of the other two angles is (180° - 107°) 73°
The size of each of the two angles is 73/2 = 36.5°
The room shown below right is 14 ft by 10 ft. Find the dimensions of each piece of furniture to the nearest tenth . 16))
Answer:
Follows are the solution to this question:
Step-by-step explanation:
Please find the image file of the question:
The dresser dimension is:
[tex]L= 6.0 \ feet\\\\ W= 3.0 \ feet[/tex]
The bed dimension is:
[tex]L = 7.1\ feet\\\\W = 5.7\ feet[/tex]
The table dimension is:
[tex]L = 2.8 \ feet\\\\W= 2.8 \ feet[/tex]
Look at the information below, decide what type of substance the paint is.
ANSWER NEEDED ASAP
Answer:
A mixture?
Step-by-step explanation:
Does anyone know this? Need it ASAP.
Answer: [tex]12*\sqrt{2}[/tex]
Step-by-step explanation:
We have the equation:
[tex]\frac{14}{\sqrt{2} } + \sqrt{50}[/tex]
we know that:
14*14 = 196
then:
14 = √196
[tex]\frac{\sqrt{196} }{\sqrt{2} } + \sqrt{50} = \sqrt{196/2} + \sqrt{50} = \sqrt{98} + \sqrt{50}[/tex]
Now, we can rewrite:
50 = 2*25
98 = 2*49
This is because we know that 49 and 25 are perfect squares, then:
[tex]\sqrt{98} + \sqrt{50} = \sqrt{2*49} +\sqrt{2*25} = \sqrt{2} *\sqrt{49} + \sqrt{2} *\sqrt{25}[/tex]
Now we can use the common factor √2 and get:
[tex]\sqrt{2} *\sqrt{49} + \sqrt{2} *\sqrt{25} = \sqrt{2}*(\sqrt{49} + \sqrt{25} )[/tex]
and we know that:
7*7 = 49
5*5 = 25
then:
[tex]\sqrt{2}*(\sqrt{49} + \sqrt{25} ) = \sqrt{2}*(7 + 5) = 12*\sqrt{2}[/tex]
the value of b is:
b = 12
What is the Range of
100, 75, 40, 90, 80, 100,
92, 88, 80, 84, 81?
Answer:
60
Step-by-step explanation:
100 is the greatest value, 40 is the lowest 100-40=60
Answer: 60 i think
Step-by-step explanation:
HELP PLEASE!!! Sal is tiling his entryway. The floor plan is drawn on a unit grid. Each unit length represents 1 foot. Tile costs $1.95 per square foot. How much will Sal pay to tile his entryway? Round your answer to the nearest cent.
Answer:
67.43
Step-by-step explanation:
got some more and more
Pleaseeee helppp answer correctly !!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!
Answer:
⦣ACD = 90º
Step-by-step explanation:
⦣ACD + ⦣BCD = 180º
⦣BCD = 90º
⦣ACD + 90º = 180º subtract 90º from both sides
⦣ACD = 90º
find the measure of the angle.
Answer:
the awnser should be. 165
Simplify: 5d + 3 + 2h + 1 + 3h + 2d
Answer: 7d+5h+4
Step-by-step explanation: Combine Like Terms: 5d+3+2h+1+3h+2d
=(5d+2d)+(2h+3h)+(3+1)=7d+5h+4
Final Answer: 7d+5h+4
If I Helped, Please Mark Me As Brainliest, Have A Great Day :D
Which expression is equivalent to 4(3+5) - 3•9^2
Answer:
se eu não me engano é 11.962962963 por ai agora pega esse numero e faz como expressão equivalente ok
Step-by-step explanation:
espero ter ajudado.
If there are friends who read the book "Killing a Mockingbird", can they give information about its content? But please do not have a clear copy. Thanks, you love it guys ..;)
Answer:
There is really no substitute for reading this story. It's a classic, and gives some real insights into a culture where racial prejudice flourished, and how Scout's father stood against it.
Step-by-step explanation:
If you are reading, and have questions about what's going on, or what things mean, please ask.
In a fish tank there are 10 fish. 5 are goldfish, 1 is an angelfish, and 4 are guppies. If a fish is selected at random, find the probability of getting a guppy or an angelfish.
Answer:
40% guppy 10% angel
Step-by-step explanation:
GIVING BRAINLIEST!!! please help
Match the graphs to the correct answer
Answer:
If i answer you have to give me brainliest and go to photomath.com it will tell you the answer
Step-by-step explanation:
What is the value of X in the diagram below round to the nearest hundredths
Find the slope!!
Quickly please
Helppp plz!!! Quick quick quick
Answer:
Increasing interval
Step-by-step explanation:
Please write an equation
Answer:
y = [tex]\frac{3}{4}[/tex] x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (4, 5) ← 2 points on the line
m = [tex]\frac{5-2}{4-0}[/tex] = [tex]\frac{3}{4}[/tex]
The line crosses the y- axis at (0, 2 ) ⇒ c = 2
y = [tex]\frac{3}{4}[/tex] x + 2 ← equation of line
The following table shows the number of students in a class who like movies and/or music: Like Movies Do Not Like Movies Total Like Music 36 ? 56 Do Not Like Music 15 4 19 Total 51 24 75 What is the missing number in the table? (1 point) 12 20 32 52
Answer:20
Step-by-step explanation:
I got it right on my test
Answer:
20
Step-by-step explanation:
just took the test :)
PLEASE HELP ILL GIVE BRAINLESS IM GOING TO FAIL
Which student below wrote an addition statement with the greatest sum,
and what is the sum?
A line has a slope of 5 and passes through the point
(2, 0) . What
isitsequationin
slope -intercept
form?
Answer:
Step-by-step explanation:
The equation is mx+b=y.
M=slope (in this case 5)
x=x coordinates
b=y intercept
y=y coordinates
For the x and y coordinates, I'll use (2,0).
5(2)+_=0
10+_=0.
In this case, we only have one awnser, -10. Since 10+(-10) are the only ways to equal 0.
Hope this helps,