Answer:
Step-by-step explanation:
2160 = 2a * 3b * 5
2160/5 =2a*3b
432=6*a*b
432/6 = a*b
72 = a * b
72 = 8 * 9
a=8
b=9
The number 2160 can be expressed as 2a x 3b x 5 , where a = 8 and b = 9
Given data:
To find the values of a and b in the expression 2^a * 3^b * 5,
2160 = 2a * 3b * 5
Divide by 5 on both sides:
2160/5 =2a*3b
432=6*a*b
Divide by 6 on both sides:
432/6 = a*b
72 = a * b
The values of a and b can be determined as:
72 = 8 * 9
a = 8
b = 9
Hence, in the expression 2a x 3b x 5 = 2160, the value of a is 8 and the value of b is 9.
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Steven and Brittney are both starting lawn mowing businesses to save money to buy a dog. Steven charges $20 a yard and $6 an hour. Brittney charges $28 a yard and $5 an hour. How many hours will they need to work to have the same amount of money? If the cost of the dog is $300, who will be able to buy it first? Pick two correct statements only.
1. 8 hrs to have the same amount of money
2. 18 hrs to have the same amount of money
3. Brittney will be able to buy the dog first
4.Steven will buy will be able to buy the dog first
Answer:
https:brainly.com/question/20068899
help me with this
3(2y+4c) use distributive property :)
Answer:
3(2y+4c) = 3 (x) 2y + 3 (x) 4c
*(x) = Multiplication!!!*
Step-by-step explanation:
Melissa had $20 to purchase candy for a party. She purchased 3.6 pounds of candy that cost $2.50 per pound. How much money does Melissa have remaining after this purchase?
Answer:
1738
Step-by-step explanation:
Melissa has $11 remaining after purchasing 3.6 pounds of candy that cost $2.50 per pound.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Melissa had $20 to purchase candy for a party.
She purchased 3.6 pounds of candy that cost $2.50 per pound
Melissa spent 3.6 x $2.50
= 9 on candy.
Subtracting this amount from her initial $20, we get:
$20 - $9 = $11
Therefore, Melissa has $11 remaining after purchasing 3.6 pounds of candy that cost $2.50 per pound.
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−k+2(−2k−5) simplify
Answer:
-k-14
Step-by-step explanation:
Use distributive property and then just carry on and combine like terms.
Answer:
-5k - 10
Step-by-step explanation:
-k + 2 ( -2k - 5 )
= -k - 4k - 10
= -5k - 10
PLEASE HURRY!!!!!!
If a=-3x-i and b=3, then find the value of the ab^(2)
in fully simplified form.
Answer:
Step-by-step explanation:
a= -3x-i
b= 3
[tex]b^{2}[/tex]=9
sooo.. a[tex]b^{2}[/tex] = (-3x-i )(9)
-27x -9i
Caveat : :/ if the i happens to be part of a complex number and the squared part is for the quantity (AB)^2 then it would change this answer ..but... I can't tell if that problem is about complex numbers or not, i'm guessing it's not
URGENT NEED HELP ILL GIVE YOU BRAINLEST
Answer:
y = -1/3x +2
Step-by-step explanation:
subtract -1/3x to the side of 2
Help look at the picture attached and I will mark brainliest !:)
Answer:
A = 1120
Max # of ppl = 80
Step-by-step explanation:
A = 28*40
A = 1120
Max # of ppl = 1120/14
Max # of ppl = 80
hope this helps, pls mark brainliest :D
Answer:
around 450
hope that helps,but you'll have to be there to fully answer that question
:)
Brandon is playing hide-and-seek with Katy and Tony. Katy is hiding 63 feet south of Brandon, and Tony is hiding due east of Katy. If Brandon is 87 feet from Tony, how far apart are Katy and Tony?
Answer:
60 feets
Step-by-step explanation:
Given that :
Using Pythagoras rule :
Hypotenus = sqrt(Adjacent^2 + opposite^2)
From the attached picture :
x² = 87^2 - 63^2
x^2 = 7569 - 3969
X^2 = 3600
Take the square root of both sides :
X = sqrt(3600)
X = 60 feets
Hence, Katy and Tony are 60 feets apart
One diet uses a ratio of 9:5:4 for carbohydrates, protein, and fat. A nutritionist is developing a diet that provides 450 calories from protein per day. Find the number of calories that should come from carbohydrates
Answer:
There are 810 calories from carbohydrates
Step-by-step explanation:
carbohydrates: protein: fat
9 :5 :4
We want 450 calories from protein
450 /5 =90
Multiply each term by 90
carbohydrates: protein: fat
9*90 :5*90 :4*90
810 450 360
There are 810 calories from carbohydrates
Answer:
810 calories are carbohydrates
Step-by-step explanation:
We know that the ratio 9:5:4 tells us that 18 equal amounts' of calories make up a meal. Now we know that 450 calories equals 5 of this parts (since protein is made out of 5 of this parts. Now we have to find out the amoung of calories in one of this 18 parts and multiply it by 9. So we do......
450 / 5 = 90
90 x 9 = 810
Can someone please help me finding x and what is it? I would really appreciate it thank you!
please help me I have until Monday to do 82 questions
Answer and Step-by-step explanation:
We are solving for x.
A)
Multiply each side by 5 to get x by itself.
x = 15
B)
Multiply each side by 2 to get x by itself.
x = 17
#teamtrees #WAP (Water And Plant)
2x - 3x - 18 + -18 + 2x + 5x x= .....? A.X=4.5 B.X=0 C.X=6 D.X=-4.5 :) please help?
Answer:
-36+7x
Step-by-step explanation:
Answer:
x = 0
Step-by-step explanation:
First, simplify the equation by combining like terms on each side:
2x = 3x - 18 = -18 + 2x + 5x
-x - 18 = -18 + 7x
To solve the equation for x, the variable must be isolated on one side of the equal sign. Use the subtraction property of equality to subtract 7x from both sides. Then use the addition property of equality to add 18 to both sides:
-x - 18 - 7x = -18 + 7x - 7x
-8x - 18 = -18
-8x -18 + 18 = -18 + 18
-8x = 0
Finally, use the division property of equality to divide both sides by -8 and achieve the solution for x:
-8x/-8x = 0/-8
x = 0
A plant is already 8.75 meters tall, and it will grow 25 centimeters every month. the plants height, H (in meters), after x months is given by the following function H(x)=0.25x+8.75 What is the plants height after 40 months?
Answer:
18.75 meters
Step-by-step explanation:
8.75 + 0.25(40) = 18.75
What is the exact value of tan ( 5 pi/8 )
===================================================
Explanation:
Make sure your calculator is in radian mode. Use your calculator to find that tan(5pi/8) = -2.41421 which is approximate.
Since the value is negative, this means the answer is between choices C and D. You can use your calculator to compute those expressions given and you should find it matches with choice D.
----------------------
Further explanation:
We can apply the half angle identity for tangent like so
[tex]\tan\left(\frac{x}{2}\right) = \pm \sqrt{\frac{1-\cos(x)}{1+\cos(x)}}\\\\\\\tan\left(\frac{5\pi/4}{2}\right) = -\sqrt{\frac{1-\cos(5\pi/4)}{1+\cos(5\pi/4)}}\\\\\\\tan\left(\frac{5\pi}{8}\right) = -\sqrt{\frac{1-\left(-\frac{\sqrt{2}}{2}\right)}{1+\left(-\frac{\sqrt{2}}{2}\right)}}\\\\\\[/tex]
Simplifying further, we get
[tex]\tan\left(\frac{5\pi}{8}\right) = -\sqrt{\frac{1+\frac{\sqrt{2}}{2}}{1-\frac{\sqrt{2}}{2}}}\\\\\\\tan\left(\frac{5\pi}{8}\right) = -\sqrt{\frac{2+\sqrt{2}}{2-\sqrt{2}}}\\\\\\[/tex]
In the last step, I multiplied top and bottom of the outer fraction by 2 to clear out the denominators of the inner fractions.
Answer:
Answer D
Step-by-step explanation:
on edge 2023
If m ∠ 1 = 101, what is the value of X?
How do I do this?
also the first part that is answered is wrong
Answer:
i would say for the second one 2.5 and the first one about 30
Step-by-step explanation:
An expression with only one term is called a
Answer:
monomial
Step-by-step explanation:
Two shops sell the same phone. In both shops it is £196. One shop increases the price by 17.5%. The other shop increases the price by 22.5%. Calculate the difference between the new prices of the phone in the two shops.
Step-by-step explanation:
the 1st shop=196-(17.5/100×196)
=196-34.3
=161.7+196
=357.7
the 2nd shop=196-(22.5/100×196)
=196-44.1
=151.9+196
=347.9
so the difference between two shop is
357.7-347.9=9.8
a cylindrical tank is a diameter of 14 m and a height of 3.5 m find the capacity of the water tank in litres
v=pi.r^2.h
v=3.14×7×7×3.5
v=538.51 cubic meter
1cubic meter=1000 litre
so v=538510 litre
What is the common ratio for the sequence:
28, 14, 7, 3.5...
Answer:
r = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
The common ratio r is calculated as
r = [tex]\frac{14}{28}[/tex] = [tex]\frac{7}{14}[/tex] = [tex]\frac{3.5}{7}[/tex] = [tex]\frac{1}{2}[/tex]
Answer:
1/2 is the common ratio of the sequence
An amusement park reduced the admission price to $15.50 per day, but now charges $1.50 per ride. Mark has $26 to spend on admission and rides. Write an algebraic equation to find how many rides Mark can ride in one day.
Answer:
15.50 + 1.50x ≤ 26
Step-by-step explanation:
Given that:
Total amount to spend = $26
Admission fee = $15.50
Charge per ride = $1.50
Number of rides Mike can take in a day:
Let number of rides can take In a day = x
[Admission fee + (charge per ride * number of rides)] less than equal to total amount
15.50 + 1.50x ≤ total amount
15.50 + 1.50x ≤ 26
1.50x ≤ 26 - 15.50
1.50x ≤ 10.50
Divide both sides by 1.50
x ≤ 10.50 / 1.50
x ≤ 7
Hence, number of rides per day = 7
ANSWER ASAPPPP MARKING BRAINLIEST HELP
Answer:
A. 30800
B.39600
C. 17600
Step-by-step explanation: 0.12*$35000= 4200 35000-4200 = $30800
$45000*0.12=$5400 $45000-$5400= $39600
$20000*0.12=$2400 $20000-$2400= $17600
In the figure, and bisect each other. The length of is 12 centimeters and the length of is 11 centimeters. The length of is centimeters and the length of is centimeters.
HURRY LAST QUESTION ON TEST!!!
Answer:
11 and 12
Step-by-step explanation:
AD is opposite BC so they're equal, and DC is opposite AB so they're the same.
Answer:
11, 12
Step-by-step explanation:
plato answer just took test
Describe what makes 2 lines parallel. Give me a real-world example of a paralell lines.
Answer:
Step-by-step explanation:
If to lines are parallel then they could go on forever without touching at any given point.
for what value of “x” is the figure the given special parallelogram?
Answer:
x = 6
Step-by-step explanation:
(In reference to my diagram.... my diagram is similar to the diagram in the question)
We know that diagonals of a square bisect each other at right angles.
In ΔBOC ,
•OB = OC (Diagonals of square bisect each other)
=> ∠OBC = ∠OCB = (7x + 3)° (∵ OB = OC)
• ∠BOC = 90° (Diagonals intersect at right angles)
Using angle sum property of triangle ,
∠OBC + ∠OCB + ∠BOC = 90°
[tex] = > 7x + 3 + 7x + 3 + 90 = 180[/tex]
[tex] = > 14x + 6 = 180 - 90 = 90[/tex]
[tex] = > 14x = 90 - 6 = 84[/tex]
[tex] = > x = \frac{84}{14} = 6[/tex]
write the fraction as a mixed number
31/6
20/10
15/8
13/6
pls answer my dad is gonna hit me
The area of a rectangular warehouse measures 4,288 square feet. The width of the warehouse is 64 feet long. Draw a model to represent the problem, and then solve for the length of the warehouse.
Answer:
67 feet
Step-by-step explanation:
Step one:
given
The area of a rectangular warehouse measures 4,288 square feet
The width of the warehouse is 64 feet long.
Required:
the length of the warehouse
Step two:
The expression for the area of a rectangle is
A= L*W
so, for the situation
4,288= L*64
solve for L
divide both sides by 64
L= 4,288/64
L=67 feet
Ast month when Holiday Creations Inc. Sold $50,000 units, total sales were $200,000. Total variable costs were $120,000 and total fixed costs were $65,000. So, the company's CM ratio will be
Answer:
40%
Step-by-step explanation:
The first step is to calculate the unit selling price
= total sales/number of units
= 200,000/50,000
= $4
The unit variable expense can be calculated as follows.
= total variable expense/number of units
= 120,000/50,000
= $2.4
The contribution margin per unit can be calculated as follows
=selling price per unit- variable cost.
= $4-$2.4
= $1.6
Therefore the contribution margin ratio can be calculated as follows.
= $1.6/$4
= 0.4×100
= 40%
Mega Movies hosted a film premiere on Friday night. They charged $7 for adults and $4 for children. One hundred nine adults and children attended, and $703 was made in ticket sales. How many children and how many adults went to the film premiere?
A.
20 children; 89 adults
B.
17 children; 92 adults
C.
24 children; 85 adults
D.
14 children; 95 adults
50 POINTS. Select the correct answer from each drop-down menu.
15
In AABC, m B = 90°, COS(I) = 17, and AB = 16 units.
V
V
units.
Based on this information, mzA= v ,mzc=
o, and AC =
Note that the angle measures are rounded to the nearest degree.
Answer:
m∠C=28°, m∠A=62°, AC=34.1 units
Step-by-step explanation:
Given In ΔABC, m∠B = 90°, , and AB = 16 units. we have to find m∠A, m∠C, and AC.
As,
⇒
By angle sum property of triangle,
m∠A+m∠B+m∠C=180°
⇒ m∠A+90°+28°=180°
⇒ m∠A=62°
Now, we have to find the length of AC
⇒
The length of AC is 34.1 units