Answer:
substitute the value of y into the equation 7x+3y = 35
7x + 3(x+5) = 35 (distribute 3 through the parenthesis)
7x + 3x + 15 = 35
collect the like terms
7x + 3x = 35 - 15
10x = 20 (divide both sides by 10)
x = 2
substitute x = 2 into the equation y = x + 5
y = 2 + 5
y = 7
Triangle FGH is similar to triangle IJK. Find the measure of side KI. Round your
answer to the nearest tenth if necessary.
43
8
H Η
G
K
J
31
F
Answer:
[tex]5.8[/tex]
Step-by-step explanation:
Similar shapes also maintain a constant proportion of sides. Therefore, we can set up the following equation:
[tex]\frac{31}{43}=\frac{\text{KI}}{8}[/tex]
Solving, we get:
[tex]\text{KI}=\frac{8\cdot 31}{43}\approx \boxed{5.8}[/tex]
Mezclas de alimentos. Un chef repostero creó una solución de azúcar de 50 onzas constituida por 34% de azúcar con una solución de azúcar al 20% y otra solución al 40%. ¿Qué cantidad utilizó de la solución de azúcar al 20% y de la solución al 40%?
Answer:
Las cantidades empleadas para su preparación son: 15 onzas de solución al 20 % y 35 onzas de solución al 40 %.
Step-by-step explanation:
Podemos estimar la proporción de ingredientes mediante el siguiente promedio ponderado:
[tex]0.34= \frac{0.2\cdot m_{A} + 0.4\cdot m_{B}}{m_{A}+m_{B}}[/tex] (1)
Donde:
[tex]m_{A}[/tex] - Masa de la solución al 20 %, en onzas.
[tex]m_{B}[/tex] - Masa de la solución al 40 %, en onzas.
Podemos simplificar la formula como sigue:
[tex]0.2\cdot x + 0.4\cdot (1-x) = 0.34[/tex] (2)
Donde [tex]x[/tex] es la proporción de la solución al 20 % dentro de la solución final, sin unidades.
Ahora resolvemos para [tex]x[/tex] en (2):
[tex]0.4-0.2\cdot x = 0.34[/tex]
[tex]0.2\cdot x = 0.06[/tex]
[tex]x = \frac{0.06}{0.2}[/tex]
[tex]x = 0.3[/tex]
Este resultado quiere decir que la solución al 34 % es el resultado de 30 % de la solución al 20 % y 70 % de la solución al 40 %. Si conocemos que la solución final tiene una masa de 50 onzas, entonces las cantidades empleadas para su preparación son: 15 onzas de solución al 20 % y 35 onzas de solución al 40 %.
5) The coordinates of A are (1, 0) and the coordinates of B are (2, 6), what are the coordinates of the midpoint of AB?
Answer:
The coordinate of the midpoint of AB is (1.5, 3).
Step-by-step explanation:
The midpoint of AB is the point that is the same distance between both points A and B. In order to find the midpoint, add the x and y values of points A and B respectively, and divide the sum by 2 to find the midpoint of AB. [tex]\frac{1+2}{2} = 1.5[/tex], so the x value of the midpoint is 1.5. [tex]\frac{0+6}{2} = 3[/tex], so the y value of the midpoint is 3. You'll get that the coordinate of the midpoint of AB is (1.5, 3).
Evaluate:
26 (2n + 5) = [?]
Can someone please help me ASAP !
Answer:
it's 823 problem solved
The order of numbers is not important in ____________ of rational numbers.
Answer:
addition?
Step-by-step explanation:
PLEASE HELP ME WITH GEOMETRY!!! Please
Answer:
100
Step-by-step explanation:
What you need to do is multiply all of the numbers together so the three sides equal 12 so you need to do 12x3 which equals to 36 and 8x8 is 64 and then add 64 and 36 which gives you 100
Solution :
The given figure consists of two shapes that are a triangle and a square . To find the total area of the figure we will first find the area of the triangle then that of the square and add them .
Let's work on this ,
Area of triangle [tex]\sf\implies\::\dfrac{1}{2}\:\times\:base\:\times\:height[/tex]In the given figure the base of the triangle is 12 inches and it's height is 8 inches .
[tex]\sf\implies\::\dfrac{1}{2}\:\times\:12\:\times\:8[/tex]6 × 8 48 inches²Now lets find the area of the square ,
Area of square = Side × Side12 × 12144 inches²Total area of the figure
Area of triangle + Area of square 48 + 144192 inches²A ship is 7 ft from the dock. One sailor who is standing at the front of the boat 10 ft above dock level tosses rope to another sailor who is standing on the dock to tie the boat to the dock. How is the angle of elevation for the sailor standing on the dock related to the angle of depression for the sailor standing at the front of the boat?
Answer:
ım not speak english because i'm turkish
The angle of the depression is equal to the angle of elevation for the same place.
The angle of elevation for the sailor standing on the dock is equal to the angle of depression for the sailor standing at the front of the boat which is 55 degrees.
What is angle of elevation?The angle of elevation is the angle between the horizontal line and the line of sight which is above the horizontal line.
What is angle of depression?The angle of depression is the angle between the horizontal line and the line of sight which is below the horizontal line.
Given information-
The distance between the ship and dock is 7 ft.
The one sailor is standing 10 ft above the dock level.
The another sailor is standing on the dock.
The angle of depression and elevation is shown in the image.
Here the angle made by the sailor who is 10 ft above from the dock level on the ship is,
[tex]\tan \theta=\dfrac{10}{7}[/tex]
Find the value of angle as,
[tex]\theta=\tan ^-(\dfrac{10}{7})\\\theta=55[/tex]
Hence the angle of depression is 55 degree.
As the angle of the depression is equal to the angle of depression for the same place.
Thus the angle of elevation is 55 degrees.
Hence, The angle of elevation for the sailor standing on the dock is equal to the angle of depression for the sailor standing at the front of the boat which is 55 degrees.
Learn more about the angle of depression here;
https://brainly.com/question/10217662
HELP DUE IN 10 MINS!
Circle R is defined by the equation ( x - 3)2 + ( y - 5)2 = 4. Select all of the points that lie on circle R.
A. (3,5)
B. (5,5)
C. (3,3)
D. (1,5)
E. (-1,5)
F. (3,7)
Answer:
B. (5,5)
C. (3,3)
D. (1,5)
F. (3,7)
Step-by-step explanation:
The equation of a circle with radius [tex]r[/tex] and center [tex](h, k)[/tex] is given by:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
From this, we can find that the radius of the circle is [tex]\sqrt{4}=2[/tex] and the center of the circle is at [tex](3, 5)[/tex]. Therefore, the coordinates of all points exactly 2 units away from this center point will lie on the circle.
Out of all options given, the desired answers are:
B. (5,5)
C. (3,3)
D. (1,5)
F. (3,7)
I need some help finding the volume of a sphere with a diameter of 18.6cm. The website says the answer I got from my calculator was wrong! Help would be greatly appreciated!
Answer:
V = 3,367.6 cm³
Step-by-step explanation:
Diameter of sphere (D) = 18.6 cm
radius (r) = ½(18.6) = 9.3
π = 3.14
Formula for volume of a sphere = ⁴/3πr³
Plug in the values
V = ⁴/3 × 3.14 × 9.3³
V = ⁴/3 × 3.14 × 804.357
V = (4*3.14*804.357)/3
V = 3,367.57463
V = 3,367.6 cm³ (nearest tenth)
help please help help help
Answer:
area = 32
perimeter = 30
Step-by-step explanation:
Formulas:
Area of a parallelogram: A = bh
Perimeter of a parallelogram: P = 2 ( b + s )
Where h = height s = slant height and b = base length
Define:
b = 8
h = 4
s = 7
Plug in given values into formulas and calculate
A = (8)(4)
8 * 4 = 32
A = 32
P = 2 ( 8 + 7 )
8 + 7 = 15
2(15) = 30
P = 30
plz solve this question mhanifa
Answer:
Option BStep-by-step explanation:
Given:
4 - 3iConjugate of the given number is:
4 + 3iDivide the given number by its conjugate:
(4 - 3i) / (4 + 3i) = (4 - 3i)(4 - 3i) / (4 + 3i)(4 - 3i) =(16 + 9i² - 24i) / (16 - 9i²) = (16 - 9 - 24i) / (16 + 9) = (7 - 24i) / 25 = 7/25 - 24i/25Correct choice is B
Answer this question to get marked as brainliest!!!!
Answer:
7
Step-by-step explanation:
the diameter is a circle is 16in. Find it’s circumference in terms of π.
C= ________in
According to the question,
Diameter of circle = 16 inWe are asked to calculate it’s circumference in terms of π.
★ Circumference of circle = 2πr
___________________________________
Let us first calculate the radius of the circle.
→ Diameter = 2 × Radius
→ 16 in = 2r
→ r = 16 in ÷ 2
→ r = 8 in
___________________________________
Substituting values in the formula of circumference,
→ C = 2πr
→ C = (2 × π × 8) in
→ C = 16π in
Therefore, 16π inches is the required answer.
Can someone help me out my grads are bad
Answer:
5/10 + 1/10 = 6/10 or if you simplify it 3/5
Step-by-step explanation:
1/2 = 5/10
1/10 = 1/10
5/10 + 1/10 = 6/10
6/10 = 3/5
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
Answer:
1/2 + 1/10 = 5/10+ 1/10 = 3/5
Step-by-step explanation:
Find the LCD of 2 and 10 (10)
Add the two together (6/10)
Reduce (3/5)
Have a good day :)
There is a photo. No explanation needed just answer thank you
Dylan wants to buy both the tablet and
the camcorder. How much will he pay
if he buys them during the sale?
Answer:
108$
Step-by-step explanation:
solve 3x by 4 - 2x+5 by 3 = 5 by 2
Answer:
50
Step-by-step explanation:
The given equation is,
→ 3x/4 - (2x + 5)/3 = 5/2
→ 3x × 3 - 4(2x +5)/12 = 5/2
→ 9x - 8x -20/12 = 5/2
→ (x - 20)/12 = 5/2
→ x - 20 / 6 = 5
→ x - 20 = 30
→ x = 20 + 30
→ x = 50
• Hence the value of x is 50 .Answer:
x=50
Step-by-step explanation:
Identity the slope and y intercept
Answer:
3,-2
Step-by-step explanation:
From the attached graph we need to find the slope and the y Intercept . The data that can beextracted from the graph is ,
The line passes through (0,3) and (1.5,0) .Hence the y Intercept here is 3 , since the graph cuts y axis at 3 units above the x axis.
Slope :-
→ m = 3 - 0 / 0 - 1.5
→ m = 3/-1.5
→ m = -2
• Hence the y Intercept is 3 and the slope is (-2) .need help on math please
The length of missing leg is √40 = 6..32
Answer:
This one should match according to the pythagoras theorem
If 3 meters of a pinya cloth cost P200, how much will 9 meters of the same cloth cost? *
9 meters cost P600
Step-by-step explanation:
3×3 = 9
p200×3 =P600
Please help as soon as possible
Answer:
d, b + b + 3c and 2b + 3c
Step-by-step explanation:
Maya invests $3,500 into an ETF which earns 7% per year. In
30 years, how much will Maya's investment be worth if
interest is compounded semiannually (twice a year)? Round to
the nearest dollar.
What is the probability of flipping a coin 85 times and getting tails 50 times or
fewer? Round your answer to the nearest tenth of a percent.
A. 33.2%
B. 0.4%
C. 95.9%
D. 99.8%
Answer:
C: 95.9%
Step-by-step explanation:
To find this, we shall be using the cumulative binomial probability calculator
As we know, the probability of getting a head or a tail in a throw of a coin is same with a value of 0.5
So, we want to find the probability of getting tails 50 times or fewer which means the probability of getting at most 50 tails
So we have the parameters as follows;
P( x ≤ 50)
n = number of trials = 85
p = probability of success = 0.5
r = number of success = 50
Using the parameters in the cumulative binomial probability calculator, we have the value as ;
0.9589 = 95.9%
Answer:
answering so the guy above gets brainliest
A pair of shoes that normally sells for $85.00 goes on sale for 35% off.
Sean thinks that the sale price should be $50.00 but Melanie disagrees and says the price should be $55.25. Aiyanna says they are both wrong and decides the price should be $29.75.
Who is correct and why?
a. Melanie is correct.
b. Sean is correct.
c. Aiyanna is correct.
Answer:
A
Step-by-step explanation:
Melanie is correct
85 x 0.35 = 29.75
85 - 29.75 = 55.25
Answer:
a. Melanie is correct
Step-by-step explanation:
35% of 85= 29.75
*Find this by finding 10% (move decimal place over) and five percent (half of ten percent) and add triple of 10% plus the 5% or look it up*
Subtract this from 85
85-29.75=
$55.25
Hope this helps! Have a nice day :)
⚠️10 points⚠️
⚠️no links ir i will report ⚠️
Find the distance between the two points rounding to the nearest tenth (if necessary).
Answer:
8.9
Step-by-step explanation:
The distance between each point is 8.9, hope this helps!
Closest to the shaded area
Answer:
B) 30.9
Step-by-step explanation:
So, because the radius is 6, we know the diameter is 12, meaning we know each side is 12, so the total area of the square is 144.
To find the area of a square we should use pi(r) ^2 which is pi(6) ^2 which is 113.09. to find the area of the shaded are we would subtract these. 144- 113.09 this gets us 30.91, this is closest to B) 30.9
Help!!‼️‼️
How old am lif 500 reduced by 4 times my age is 256?
Answer:
Question 1172264: How old am I if 500 reduced by 4 times my age is 256? How old am I if 500 reduced by 4 times my age is 256? A is our age. 500 - 4A = 256.
Step-by-step explanation:
thank me later
Que numero que elevado al cubo da -125?
Answer:
-5
Step-by-step explanation:
Make:
(-5)³ = (-5)×(-5)×(-5) = 25×(-5) = -125
Which of the following can cause market failure?
too much mobility
too much competition
not enough information
too much information
Answer: C
Step-by-step explanation: not enough information
Ferris wheel diameter was 250 feet. Calculate it’s radius. If 40 steel rods were joined at the centre find the total steel required?
Answer:
785.5ft
Step-by-step explanation:
Given data
Diameter= 250ft
Radius= D/2= 250/2= 125ft
The total steel required can be found from the Circumference
C= 2πr
C= 2*3.142*125
C= 785.5ft
Hence the total steel required is 785.5ft