Answer:
1 3/10
Step-by-step explanation:
We are to determine the difference the paint of yellow and orange paint
The equation we are to solve is
[tex]2\frac{1}{2} - 1\frac{1}{5}[/tex]
The equation can be solved by taking the following steps
Subtract the two whole numbers divide each denominator by the least common multiple of the denominator and multiply the figures by the numerator[tex]1\frac{5 - 2}{10}[/tex] = [tex]1\frac{3}{10}[/tex]
The ratio of boys to girls in a local choir is 7:10. If there are 35 boys in the choir, how many girls are there?
Answer:
50 girls
Step-by-step explanation:
Given data
We have the ratio as
7:10
The total part = 7+10= 17
let the number of boys and girls be x
applying the part to all method
7/17= 35/x
cross multiply
7x= 35*17
7x=595
x=595/7
x= 85
Hence the number of girls is
=85-35
=50 girls
Which situation will get you a greater number of servings? (Lesson 4) Situation A: A 3 quart container of ice cream with a serving size of ⅔ cup. Situation B: A 4 quart container of ice cream with a serving size of ¾ cup.
Answer:
Situation B
Step-by-step explanation:
Which situation will get you a greater number of servings? (Lesson 4)
Situation A: A 3 quart container of ice cream with a serving size of ⅔ cup.
2/3 cup = 3 quarts
1 cup = x quarts
Cross Multiply
2/3 cup × x = 1 cup × 3 quarts
x = 3 ÷ 2/3
x = 3 × 3/2
x = 9/2
x = 4 1/2 quarts
Situation B: A 4 quart container of ice cream with a serving size of ¾ cup.
3/4 cup = 4 quarts
1 cup = x quarts
Cross Multiply
3/4 cup × x = 1 cup × 4 quarts
x = 4 quarts ÷ 3/4 cups
x = 4 quarts × 4/3 cups
x = 16/3 quarts
x = 5 1/3 quarts
What is the domain and range of this function?
f(x) = logs(x - 2) + 1
OA.
domain: x > -2; range: all positive real numbers
OB.
domain: x> 2; range: all positive real numbers
OC. domain: x>-2; range: all real numbers
OD. domain: x> 2; range: all real numbers
Answer:
Domain = x > 2 , Range = {R}
Step-by-step explanation:
The given function to us is ,
[tex]\implies f(x) = log_{10} ( x - 2 ) + 1 [/tex]
Since logarithm are defined only for positive numbers therefore ,
=> (x - 2) > 0
=> x > 2
Therefore the domain of the function is x > 2 and it can have all positive real numbers .
The formula to calculate the gravitational force between two objects is F_g=GM_1M_2/r^2, where M_1 and M_2 are the masses of the objects, G is the gravitational constant and r is the distance between the objects. Solve for M_1 in terms of F_g, G, M_2 and r.
Answer:
[tex]M_{1}[/tex] = [tex]\frac{F_{g}r^{2} }{GM_{2} }[/tex]
Step-by-step explanation:
From Newton's law of universal gravitation, the force of attraction between two objects of masses [tex]M_{1}[/tex] and [tex]M_{2}[/tex] is given as:
[tex]F_{g}[/tex] = [tex]\frac{GM_{1} M_{2} }{r^{2} }[/tex]
Thus, cross multiply to have;
[tex]F_{g}[/tex][tex]r^{2}[/tex] = G[tex]M_{1}[/tex][tex]M_{2}[/tex]
then divide through by G[tex]M_{2}[/tex] to have,
[tex]M_{1}[/tex] = [tex]\frac{F_{g}r^{2} }{GM_{2} }[/tex]
Therefore, [tex]M_{1}[/tex] can be expressed in terms of [tex]F_{g}[/tex], [tex]r^{2}[/tex], G, [tex]M_{2}[/tex] as [tex]\frac{F_{g}r^{2} }{GM_{2} }[/tex]
Alex graphed two lines in order to find the
solution to a given system of equations.
What is the solution?
Answer:
(-3,-8)
....................................................................................................................................
hope it helped
Plane tickets to Chicago usually cost $120. On a travel deal website, you scored a coupon for 35% off. Your budget for the trip allows you to spend a hundred dollars on a ticket; can you go?
Answer: yes it’s 78$
Step-by-step explanation: The difference is 42.00
HELP ASAP GIVING BRAINLIEST!!
which equation has infinitely many solutions?
A. 3x - 2=2-3x
B. x+ 3x+6=6+4x
C. 2x+7x-5=-9x+5
D. 4x-5x+3=-5x+4x-3
Yep pls ASAP
Fifufhucuwhhciw
Answer:
10 2 28
9 3 30
8 4 32
7 5 34
6 6 36
1/3x − 1/3
Factored please help ;)
Answer:
1/3(x-1)
Step-by-step explanation:
1/3x - 1/3
Both terms have a greatest common factor of 1/3
1/3 *x - 1/3 *1
Factor out a 1/3
1/3(x-1)
To visit his grandmother, Michael takes a motorcycle 3.853.853, point, 85 kilometers and a horse 3.323.323, point, 32 kilometers. In total, the journey takes 50.5450.5450, point, 54 minutes. How many kilometers is Michael's journey in total?
Answer:
7.17 km
Step-by-step explanation:
Given that:
Distance in kilometers traveled by motorcycle = 3.85 km
Distance in kilometers traveled by horse = 3.32 km
Total distance of journey in kilometers /
3.85 km + 3.32 km
= 7.17 kilometers
Find the location of the center of a circle if the endpoints of the diameter are at (-10,
-5) and (8,4).
Answer:
(- 1, - [tex]\frac{1}{2}[/tex] )
Step-by-step explanation:
The centre is located at the midpoint of the diameter.
Using the midpoint formula , then
centre = [tex]\frac{-10+8}{2}[/tex], [tex]\frac{-5+4}{2}[/tex] ) = ( [tex]\frac{-2}{2}[/tex], [tex]\frac{-1}{2}[/tex] ) = (- 1, - [tex]\frac{1}{2}[/tex] )
one ounce of cheddar cheese contains 9 grams of fat. six of the grams of fat are saturated fats. find the ratio of saturated fats to total fat in an ounce of cheese.
Answer:
66%
Step-by-step explanation:
Pls help! Write two inequalities for the graph.
(System of inequalities)
If f (x ) = 3x , what is f (-2) and f (2)?
Answer:
b. -6 and 6
Step-by-step explanation:
Answer:
B. -6 and 6.
Step-by-step explanation:
It's shown that -2 and 2 are the inputs on this particular equation. That means they are the x values they want you to find the corresponding y value for. So, you can solve these by just plugging in the numbers. So, replace x in the original equation with -2 and 2 and then evaluate. [tex]f(x)=3 *-2=-6[/tex] and [tex]f(x) = 3*2=6[/tex]. Good luck!
How do I complete this problem?
Answer:
30
Step-by-step explanation:
x=30 (being corresponding angle)
Answer:
25/48 = 30/x
25x = 1440
x = 57.6
Add or subtract to simplify(4x - 2x^3) +(5x^3 - 4x + 5)
Answer: 4x -8+ 125x -4x +5
Manakah bilangan berikut yang bernilai antara 1/3 dan 1/4?
a. 0,34
b. 0,29
c. 0,25
d. 0,22
e. 0,18
CARA DAN PENJELASAN YA PLIS
Step-by-step explanation:
The answer is B and C
If you need any explanation in it or anything on math you can communicate with me on Whats on this number +201557831028 or in email or face or anything
A coordinate grid has a scale of 1
unit = 100 miles. How far apart, in
miles, are points (-3, 2) and (-3,
12)?
Answer:
It should be 1000 miles
Step-by-step explanation:
If you draw the picture out, you will find as the x-axis part is the same, so the distance will simply be 12 -2 = 10 units, and 1unit = 100 miles, so distance is 100 * 10 = 1000 miles.
50 POINTS! By using shadows, Tatiana wants to find the height of a building. At a certain time of day, her shadow is 2.4 feet long and the building’s shadow is 16 feet long. Her height is 5.8 feet. How tall is the building?
Your local radio station is having their yearly music player and concert ticket giveaway. For one minute, every 5th the caller will win a music player and every 7th caller will win concert tickets.
You were just the first caller to win both a music player and concert tickets!
What number of caller were you?
Answer:
you are the 35th caller.
Step-by-step explanation:
Multiples of 5: 5,10,15,20,25,30,35,40,45,50
Multiples of 7: 7,14,21,28,35,42,49,56,63,70
Since the question specified "first caller" , the answer is basically from the lowest common Multiple (the lowest number that appear in both multiples) , and in this case, only 35 is the lowest common multiple.
hi can someone please answer this for me thanks xoxo will mark brainliest
Answer:
1. 3.6 times 10 -4 2. 800;0 the last one is 7.92 times 10 7
Step-by-step explanation:
.
This figure is made up of two rectangular prisms.
What is the volume of the figure?
10 ft 3ft 6ft 12ft 19ft
need help please 9× > 108
Answer:
x > 12
Step-by-step explanation:
9x>108
x> 108/9
x > 12
Answer:
[tex] \boxed{ \tt{x > 12}}[/tex]
Step-by-step explanation:
[tex]9x > 108 \\ x > \frac{108}{9} \\ x > 12[/tex]
f=6 and p = 2
3f – 9p + 8 + f
Answer:
14
Step-by-step explanation:
18-18+8+6
0+14
14
hope this helped!
Answer:
Step-by-step explanation:
F = 6
P = 2
Then:
3.(6) - 9.(2) + 8 + 6
18 - 18 + 8 + 6
8 + 6
14
;D
The size of the coyote population at a national park increases at the rate of 4.3% per year. If the size
of the current population is 183, find how many coyotes there should be in 6 years. Use
y = yoe^0.043t and round to the nearest whole number.
A) 235
B) 241
C) 239
D) 237
Answer:
B
Step-by-step explanation:
The estimated number of coyotes after six years, rounded to the closest whole number, is 237.
Therefore, option D) 237 is the appropriate response.
Given that in a national park the population of coyote is increasing by 4.3% per year.
The current population is 183.
We need to find the size of the population after 6 years.
To calculate the number of coyotes in 6 years using the given growth rate, we can use the formula:
[tex]y = y_oe^{0.043t[/tex]
Where:
y = final population after t years
y₀ = initial population
r = growth rate
t = time in years
In this case, the initial population (y₀) is 183, the growth rate (r) is 4.3% or 0.043, and we want to find the final population (y) after 6 years (t = 6).
Plugging in the values:
[tex]y = 183 \times e^{(0.043 \times 6)[/tex]
Calculating this expression:
[tex]y \approx 183 \times e^{(0.258)[/tex]
Using a calculator:
[tex]y \approx 183 \times 1.294[/tex]
[tex]y \approx 236.502[/tex]
Rounding to the nearest whole number, the estimated number of coyotes after 6 years is 237.
Therefore, the correct answer is option D) 237.
Learn more about Exponential growth rate, click;
https://brainly.com/question/503551
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A landscape designer is designing a flower garden that is shaped like a parallelogram. The length of the edges of the garden along the house and driveway are 18 ft. and 8 ft. respectively, and the edges come together at an angle of 80°. Draw a diagram, and then find the area of the garden to the nearest square foot.
HELPPPP HURRYYYYYYYYYY
Answer:
1,3,4
Step-by-step explanation:
Just did it
please question below i need answer FAST
Answer: 3.5 miles
Step-by-step explanation:
C=2 √πA = 2 x √π x 1 = 3.5
La propiedad del producto cero indica que si la multiplicación de dos valores es igual a cero, se puede decir que alguno o ambos valores el igual a cero PORQUE Un producto de factores es cero si y solo si ,uno o más de los factores es cero.
C
A hexagon ABCDEF is shown.
115°
D
B
145°
Angle CDE is twice the size of angle DEF.
E
Work out the size of angle CDE.
You must show all your working.
160°
F
Total marks: 5
Answer:
since the sum of interior angles of hexagon is 720 °
you add the known angles
ie 115 +90+145+160
you get 510
subtract it from 720
you get 210
divide 210 by 3
you get 70
angle cde is 140
Answer:
∠ CDE = 140°
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 6 , then
sum = 180° × 4 = 720°
let ∠ DEF be x then ∠ CDE = 2x
sum the interior angles and equate to 720
160 + 90 + 145 + 115 + 2x + x = 720 , that is
510 + 3x = 720 ( subtract 510 from both sides )
3x = 210 ( divide both sides by 3 )
x = 70
Then
∠ CDE = 2x = 2 × 70 = 140°