Answer:
3
Step-by-step explanation:
Michael must find the smallest number possible that can divide 60 and 45 then take the two quotients after dividing the 2 types of cookies by the smallest number possible.
2 is not possible as 45 is an odd number
3 can divide both 60 and 45
60/3 = 20 oatmeal cookies in each container.
45/3 = 15 chocolate chip cookies in each container.
Mike bought five items for lunch that Cost a total of 4.55 .Hit dogs cost .1.10 each and cookies cost 0.75 each. What equation could be used to find h the number of hot dogs and c the number of cookies
Answer:
[tex]c + h = 5[/tex] and
[tex]0.75c + 1.10h = 4.55[/tex]
Step-by-step explanation:
Assume that Mike bought only cookies and hot dogs.
The total can be represented as:
[tex]Cookies + Hot\ Dogs = 5[/tex] --- (1)
And the amount spent can be represented as:
[tex]Cost\ of\ cookies + Cost\ of\ hot\ dogs = 4.55[/tex] --- (2)
Required
Determine the system of equation
Let c represents the number of cookies and h, number of hot dogs.
[tex]Cookies + Hot\ Dogs = 5[/tex] implies [tex]c + h = 5[/tex]
And
[tex]Cost\ of\ cookies + Cost\ of\ hot\ dogs = 4.55[/tex]
Cost of cookies = 0.75 * c
Cost of hot dogs = 1.10 * h
So, we have:
[tex]0.75c + 1.10h = 4.55[/tex]
Hence, the equations are:
[tex]c + h = 5[/tex] and
[tex]0.75c + 1.10h = 4.55[/tex]
Solving for c and h
Make c the subject in [tex]c + h = 5[/tex]
[tex]c = 5 - h[/tex]
Substitute 5 - h for c in [tex]0.75c + 1.10h = 4.55[/tex]
[tex]0.75(5- h) + 1.10h = 4.55[/tex]
[tex]3.75- 0.75h + 1.10h = 4.55[/tex]
[tex]3.75 +0.35h = 4.55[/tex]
Collect Like Terms
[tex]0.35h = 4.55 - 3.75[/tex]
[tex]0.35h = 0.8[/tex]
Solve for h
[tex]h = 0.8/0.35[/tex]
[tex]h = 2.28571428571[/tex]
[tex]h =2[/tex] -- approximated
Recall that:
[tex]c = 5 - h[/tex]
[tex]c = 5 - 2[/tex]
[tex]c =3[/tex]
To find the possibilities of side lengths for the third side of the triangle, I must subtract the two sides to find the higher range and I must add the two sides to find the lower range.
True
False
Answer:
false
Step-by-step explanation:
I'm not sure how to answer this. How you need to do is take the two smaller sides and add them. If they are greater than the largest side, you can make a triangle.
I would say that the statement is false. If you subtract, you could get a minus number, and that would be an absurd result.
Please help!
if the ball family has a child in 8 years how much can I expect to spend to raise a child per year from birth to 5 years of age ?
A). $22,800
B). $21,530
C). $20,890
D).$18,240
Answer: 22,800
Step-by-step explanation: Depends on what you do that year
Please help fast too easy questions for double the points I’ll give brainless also and 10 point!
Answer:
78.5
Step-by-step explanation:
add 1+2+3+4+5+6+7+100-56=78.5
A store starts the day with 36 packages of juice boxes.Each package contains the same number of juice boxes.By the end of the day,ther are only 8packages of juice boxes left.
Answer:
Number of package sold = 24 package
Step-by-step explanation:
Given:
Total number of package = 36
Remain package = 8
Computation:
Number of package sold = Total number of package - Remain package
Number of package sold = 36 - 8
Number of package sold = 24 package
Does the point (-3,-1) lie on the line with the equation y = 10 - 3x ? Be sure to show your work.
Replace x in the equation with the x value from the point and solve. If the equation equals the y value from the point the point lies in the line, if it doesn’t equal the y value then it doesn’t lie on the line.
Y = 10 -3(-3) = 10 + 9 = 19
19 doesn’t equal -1 so the point does not lie on the line.
How many times larger is 4.5 x 105 than 1.8 x 10%?
A. 2.5
B. 270
C. 250
D. 50
Answer:
c
Step-by-step explanation:
Find the slope and the y-intercept of the line whose equation is -5x+3y-8=0
slope = 5/3x
y intercept = 8/3
Step-by-step explanation:
3y = 5x + 8 + 0
divide all the numbers by 3
y = 5/3x + 8/3
HELP! Is (0,-5) a solution to 3x - 2y < 10 ?
Answer:
false
Step-by-step explanation:
3(0) - 2(-5) = 10
the < says it cannot be equal
-(4x - 5) + 16x ≥ -31
can you solve this inequality equation?
Answer: x≥-3
Step-by-step explanation:
-(4x-5)+16x≥-31
-4x+5+16x≥-31
12x+5≥-31
-5 -5
12x≥-36
12/12x≥-36/12
x≥-3
hope this helped :)
Four times the sum of a number and seven is twenty three.
Answer:
[tex]\frac{-5}{4}[/tex]
Step-by-step explanation:
You're going to want to set up an algebraic equation to solve this. It would look like this: 4(x+7)=23. Using distributive property, you'd get 4x+28=23. Subtract 28 from both sides to isolate 4x, and you'd get 4x=-5. Divide by 4 on both sides to isolate x and you'd get x=[tex]\frac{-5}{4}[/tex].
CHECK:
To check, plug in x.
4([tex]\frac{-5}{4}[/tex]+7)=23.
Use distributive property and get [tex]\frac{-20}{4}[/tex]+28=23. This simplifies to -5+28=23, which is correct.
6. Complete the pattern: 4, 8, 12, 16,
Answer:20,24,28,32
Step-by-step explanation:
Answer:
20, 24, 28, 32
Step-by-step explanation:
The sequence is counting by 4. Wasn't sure how many numbers you were looking for, but if you need more than what was given in the answer then keep counting up by 4.
What is the equation for a circle with the center, (0,0) and a radius of 4?
Answer:
(X-x0)^2 +(y-y0)^2= r^2
R=4
R^2=16
(X-0)^2+(y-0)^2=16
Write an equation for the line that passes through
(2,7) and (-1,-8)
Answer:
slope = 5
y intercept = -3
Equation = y=5x-3
Step-by-step explanation:
-8-7/(-1-2)=5
plug in a point to find y intercept
7=5(2)+b
solve for b
b=-3
write final equation:
y=5x-3
(can I get brainliest please)
Kevin graphed the inequality x > 1.
A number line going from negative 3 to positive 5. A closed circle is at 1. Everything to the right of the circle is shaded.
What mistake did Kevin make? Explain.
.
Answer:
Sample: Kevin should have used an open circle on 1, not a closed circle. The closed circle means that 1 is included in the solution set, but the inequality is x > 1, so 1 is not part of the solution.
Mistake done by Kelvin is he used closed circle at 1 where inequality x > 1 which excludes 1.
What is open and closed circles?
" Closed circle represents that the value is included in the given range while that of open circle represents given number is not included."
According to the question,
Graph of inequality x > 1 represents all values greater 1 excluding 1.
Number line represents -3 to 5.
A closed circle at 1 means 1 is included.
As per the condition of inequality x > 1 , 1 is excluded while in closed circle 1 is included both are contradictory conditions.
Hence, mistake done by Kelvin is he used closed circle at 1 where inequality x > 1 which excludes 1.
Learn more about open and closed circles here
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Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. In a particular region of a national park, there are currently 330 deer, and the population is increasing at an annual rate of 11% a. Write an exponential function to model the deer population in terms of the number of years from now. B. Explain what each value in the model represents . . Predict the number of deer that will be in the region after five years. Show your work.
Answer:
Formula : V = I (1 + R)^T , Deers after 5 years ≈ 556
Step-by-step explanation:
Exponential formula for final value 'v' - for initial value 'i' at growth rate 'r' for a period of time 't'
V = I (1 + R)^T
As per given deer case, I = 330 & R = 11% = 0.11
V = 330 ( 1 + 0.11 )^t
Predicted deers after 5 years, V = 330 (1.11)^5
330 x 1.685 = 556.05
Find X in the problem below
X=In
Answer:
50
Step-by-step explanation:
Let's drag the x line to the other side with the 14 and 48.
Then we do the Pythagorean theorem like 14^2 + 48^2 = x^2.
So then we get that x^2 is 2500
then we clearly know the square root of 2500 is 50
So 50 is our answer.
Answer:
x = 50in.
Step-by-step explanation:
[tex]A^{2}[/tex] + [tex]B^{2}[/tex] = [tex]C^{2}[/tex]
[tex]14^{2}[/tex] + [tex]48^{2}[/tex] = 2500
[tex]\sqrt{2500}[/tex] = 50
In 2006, there were 72 million dogs in U.S. Homes. In 2010, there were 70 million dogs. What was the percent decrease in the number of dogs in U.S. Homes from 2006 to 2010? A. about 0.03% B. about 0.97% C. about 3% D. about 97% Speed: NormalVoice: Female Volume: 70%
Answer: C. about 3%
Step-by-step explanation:
In 2006 , Number of dogs in U.S. dogs = 72 million
In 2010, Number of dogs in U.S. dogs = 70 million
The percent decrease in the number of dogs in U.S. Homes from 2006 to 2010 =
[tex]\dfrac{\text{Change in number of dogs}}{\text{Number of dogs in 2006}}\times100\%\\\\=\dfrac{(72-70)\text{ million}}{70\text{ million}}\times100\%\\\\=\dfrac{2}{7}\times10\%\approx3\%[/tex]
So, the percent decrease in the number of dogs in U.S. Homes from 2006 to 2010 was about 3%.
Hence, the correct option is C. about 3%
convert 3 4/5 into a improper fraction with steps please
Answer:
Step-by-step explanation:
((3×5)+4)/5=
19/5
The improper fraction is 19/5.
We have to convert [tex]3 \dfrac{4}{5}[/tex] it into an improper fraction.
To convert into an improper fraction calculation must be done in a single unit following all the steps given below.
Step1; Write the fraction into simple fractions,[tex]= \dfrac{3 \times 5 + 4}{5}[/tex]
Step2; Solve the following equation.[tex]=\dfrac{15+4}{5}\\\\=\dfrac{19}{5}[/tex]
Hence, The improper fraction is 19/5.
To know more about Fractions click the link given below.
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Solve the following equation for the
variable (a). -3a = 15
a = 5
a = 12
a = -5
a = 18
consider these functions f(x)=1/3x^2+4 g(x)=9x-12 what is the value of g(f(x))
Given:
Functions are
[tex]f(x)=\dfrac{1}{3}x^2+4[/tex]
[tex]g(x)=9x-12[/tex]
To find:
The value of [tex]g(f(x)).[/tex].
Solution:
We have,
[tex]g(f(x))=g(\dfrac{1}{3}x^2+4)[/tex] [tex][\because f(x)=\dfrac{1}{3}x^2+4][/tex]
[tex]g(f(x))=9(\dfrac{1}{3}x^2+4)-12[/tex] [tex][\because g(x)=9x-12][/tex]
[tex]g(f(x))=9(\dfrac{1}{3}x^2)+9(4)-12[/tex]
[tex]g(f(x))=3x^2+36-12[/tex]
[tex]g(f(x))=3x^2+24[/tex]
Therefore, the required function is [tex]g(f(x))=3x^2+24[/tex].
Following are the calculation to the given function:
Given:
[tex]f(x)=\frac{1}{3}x^2+4 \\\\g(x)=9x-12[/tex]
To find:
[tex]g(f(x))=?[/tex]
Solution:
[tex]f(x)=\frac{1}{3}x^2+4 \\\\g(x)=9x-12[/tex]
[tex]\to g(f(x))=g( \frac{1}{3} x^2+4) \\\\[/tex]
[tex]=9( \frac{1}{3} x^2+4)-12 \\\\=\frac{9}{3}x^2+36-12 \\\\=3x^2+24 \\[/tex]
Therefore, the answer is "[tex]24+3x^2[/tex]" .
Learn more about the g(f(x)):
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2. Phan went grocery shopping and purchased 8 loaves of bread that cost $1.48 each, 4 bags of milk that
cost $4.33 each, and 2 boxes of cereal that cost $5.25 each.
Answer:
39.66
Step-by-step explanation:
i think your asking how much his total is going to be you didnt put the whole question so I really dont know
Read the following prompt and type your response in the space provided.
Write an inequality that could be used to solve the following problem. Do not solve.
Sall's Pizza charges $12 for a large cheese pizza and $2 for each additional topping.
Brian only has $18 to spend on pizza. How many toppings can he get on a large
pizza?
Answer:
equation form: 12 + 2x = 18
x = 3
lets check the work see if its true
12 + 2(3) = 18
12 + 6 = 18
It Checks!
therefore your answer is 3. He can get 3 different toppings
Step-by-step explanation:
Find the lengths of all 3 sides of each triangle.
Answer:
GH=45
HJ=81.6
GJ=53.4
Step-by-step explanation:
hope i helped <3
A scientist finds that an intial bacteria count was 24 million and 4 hours later, the count was up to 99
million. Write an exponential equation of the form y = abt for this scenario. Round b to four decimal
places.
y =
Please help!!!! Thank youuu I’ll make brainlisy
Answer:
A
Step-by-step explanation:
it isn't a straight line, so it is nonlinear
PLEASE HELP
Find the value of x. Write your answer in simplest radical form, if necessary.
The value of 'x' or the length of the base of the triangle is [tex]\sqrt{141}[/tex] units.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know, In right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.
The given triangle has a hypotenuse of 25 units and a height of 22 units.
Therefore,
Hypotenuse² = Base² + Height².
Base² = Hypotenuse² - Height².
Base = [tex]\sqrt{Hypotenuse^2 - Height^2}[/tex].
Base = [tex]\sqrt{25^2 - 22^2}[/tex].
Base = [tex]\sqrt{625 - 484}[/tex].
Base = [tex]\sqrt{141}[/tex].
So, The length of the base is [tex]\sqrt{141}[/tex] units.
learn more about Pythagoras's theorem here :
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A power pole 10 m tall casts a shadow 8 meters long, at the same time that a building nearby casts a shadow 14 m long. How tall is the building?
Answer:
17.5 meters
Step-by-step explanation
I included an illustration of what they are asking for.
Notice, since the light of the sun is coming from the same place, the shadow angles relative to the ground, X and Z, will be the same. So the triangles formed are similarUse SOH CAH TOA to find the angle Z This just means when you have an angle in a right triangle, in order to know whether to use Cosine, Sine or Tangent, look at what sides you haveWe have the sides opposite (O) and adjacent (A) to angle Z, so we tangent (T)[tex]\tan (Z)=\frac{O}{A}\\\tan (Z)=\frac{10m}{8m}=1.25[/tex] Now since angle Z equals X, they have the same tangent valueSo we can use that to find the building height, which it the opposite (O)Don't forget to use the new adjacent 14m[tex]\tan (X)=\frac{O}{A}\\1.25=\frac{O}{14m}\\O=(1.25)(14m)\\O=17.5m[/tex]Two planes travel at a constant speed. Plane A travels 2,700 miles in 5 hours. Plane B travels 3,815 miles in 7 hours. Which plane is faster?
Answer:
Plane B is faster
Step-by-step explanation:
I took an Uber that had a bill of $15.20. I left a 15% tip. How much was the Uber including the tip?
Answer:
$17.48
Step-by-step explanation:
^^^^^^^^^^^^^
