I think there is a little error in your question. I guess You mean 60 vaccinations instead of 606060. I solved using 60 vaccinations.
Answer:Dr. Potter gave 32 polio vaccines and 28 measles vaccinations that year.
Step-by-step explanation:
STEP 1
Let number of polio vaccines be x
and number of measles vaccine be y
such that
total does of 60 vaccinations be expressed as
x+y = 60---- equation 1
And number of doses for both vaccine to total 184 doses taken be expressed as
4x + 2y= 184 ---- equation 2
Step 2--- solving
x+y = 60---- equation 1
4x + 2y= 184 ---- equation 2
Making x the subject of formula in equation 1 and substituting it in equation 2
x= 60-y
4(60-y) +2y- 184
240-4y+2y=184
240-184= 4y-3y
56= 2y
y= 58/2 = 28
To get x , put the value of y=28 in equation 1 and solve
x+y=60
x=60-28
x=32
Therefore Dr. Potter gave 32 polio vaccines and 28 measles vaccinations that year.
How is 7÷2 equivalent to 7/2?
Answer:
7 divided 2 is another way of saying 7/2 since division and fractions are alike.
Step-by-step explanation:
Answer:
because youre still dividing it either way;
Step-by-step explanation:
an improper fraction (7/2) you would have to see how many times the 2 goes into the 7 to get a proper fraction. its the same way with division, just less complicated and in a different format.
Graph y = -3/2 x-3
It would be helpful if you wrote the coordinates I have to change them to !!!
Answer:
(-2,0),(0,-3)
Step-by-step explanation:
Set x to zero to find the Y intercept which is (0,-3)
Set Y to zero and use algebra to find out the x intercept which is (-2,0)
An electrician charges $50 to come to your house. She also charges $40 for each hour that she
works. The electrician charges you a total of $210. How many hours does the electrician work
at your house? (Use h for the number of hours).
Answer:
Equation- 50+40h=210
Answer- h=4
Step-by-step explanation:
Just simplify the equation :)
50+40h=210
40h=160
h=4
The electrician worked for 4 hours.
Happy holidays!
PLSS HELPPPP MEE ITS DUE TMRW
Answer:
the turning point is (-2,-1)
i dont know the turning point but i hope this helps
Step-by-step explanation:
Answer:
a) (-2 , -1)
b) (-1 , 0) and (-3 , 0)
Step-by-step explanation:
For part a)
We can find the coordinates of the turning point by seeing at the graph where it turns the other way or in simpler words the axis of symmetry so if see the graph the axis of symmetry is the line x = -2 so that means the turning point is (-2 , -1).
For finding the turning point mathematically we compare the equation to its standard form which is:
[tex]x^2+4x+3=a(x-h)^2+k[/tex]
where h is the x coordinate and k is the y coordinate of the turning point of the equation (h , k) = (x , y).
so just solve the left side,
[tex]a(x-h)^2+k\\a((x)^2-2(x)(h)+(h)^2)+k\\a(x^2-2xh+h^2)+k\\\\ax^2-2ahx+ah^2+k=x^2+4x+3\\[/tex]
and so we compare the coefficients of x^2 on the right and left side we get
[tex]a=1[/tex]
if we compare the coefficients of x on the right and left side we get
[tex]-2ah=4\\-2(1)h=4\\-2h=4\\h=\frac{4}{-2}\\\\h=-2[/tex]
now we compare the constants on the right and left side we get
[tex]ah^2+k=3\\(1)(-2)^2+k=3\\(1)(4)+k=3\\4+k=3\\k=3-4\\k=-1[/tex]
so the turning point is (-2 , -1) proven mathematically and graphically as well
For part b)
Roots of the equation are also called as x-intercepts which means where the graph intersects/cuts the x-axis so if see the graph it cuts the x-axis at 2 points firstly at -3 and then at -1 so the roots of the equation would be (-1 , 0) and
(-3 , 0) the y coordinate is zero when the points lies on the x-axis.
for mathematically solving the equation we would equate the equation to zero
[tex]y=x^2+4x+3\\x^2+4x+3=0[/tex]
Now solve it by either factorizing or by using the quadratic formula we would get two values for x those are the roots of the equation
we solve it by factoring
[tex]x^2+4x+3=0\\x^2+3x+x+3=0\\x(x+3)+1(x+3)=0\\(x+3)(x+1)=0\\x=-3\ ,\ x=-1\\[/tex]
proven mathematically as well as graphically.
QUESTION SHOWN ON PHOTO.
All of the points on the graph could represent rational numbers. (-1, 0, 1, 4.5)
Answer:
B
Step-by-step explanation:
A: false, point C isn't a rational number
B: True, Every negative integer is a negative rational number, like point A
C: false, point D is a fraction, therefore, point D is a rational number
D: false, like said in A, point C isn't a rational number
please help me to solve this please
Answer:
4
Step-by-step explanation:
divide by 2 and you will have your answer
Pls help really fast I don't know this!!!!!
I think it's (3,4) but I am not confident so please be understanding
Answer:
(3, 1 )
Step-by-step explanation:
The centre of the circle is at the midpoint of the diameter.
Given endpoint (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
Here (x₁, y₁ ) = (9, 7) and (x₂, y₂ ) = (- 3, - 5 ) , then
midpoint = ( [tex]\frac{9-3}{2}[/tex], [tex]\frac{7-5}{2}[/tex] ) = ( [tex]\frac{6}{2}[/tex], [tex]\frac{2}{2}[/tex] ) = (3, 1 )
Thus centre of circle = (3, 1 )
what Is 0.0000724 in standard form
Answer:
7.24 * 10^-5
Step-by-step explanation:
Write an inequality to fit the given inequality the line pass through (0,1) and (1,3)
Answer: Y< 2/1x +1
Step-by-step explanation: (Slash mark means a fraction)
Cho is making a rectangular garden, where the length is x feet and the width is 2x + 8 feet. He wants to add garden stones around the perimeter of the garden once he is done.
If the garden is 5 feet long, how many feet will Cho need to cover with garden stones?
Cho will need to cover _______ feet with garden stones.
Answer:
38 feet
Step-by-step explanation:
P(x) = ℓ(x) + ℓ(x) + w(x) + w(x)
= x + x + (4x - 1) + (4x - 1)
= (x + x + 4x + 4x) + (-1 -1)
= 10x - 2
P(4) = 10(4) -2 = 38
The perimeter is 38 feet when the length is 4 feet long, so Cho will need to
cover 38 feet with garden stones.
HELP NEED FAST!!!!!!
Which graph shows a negative slope and a positive y-intercept?
Answer:
the second one on the top right
Step-by-step explanation:
Answer:
The answer is C
Step-by-step explanation:
You can tell by where the line crosses the y-intercept as a positive, and the direction in which the line is going tells you it has a negative slope
Ziad tells his son Marc: " This year my age is triple yours, but in 10 years, it will be the double". Find their ages.
Answer:
Ziad is 30 years old.
Marc is 10 years old.
Step-by-step explanation:
We will use m to represent Marc's age this year, and z to represent Ziad's age this year.
This year:
z = 3m
To show their relative ages in ten years time:
z + 10 = 2(m+10)
We can rearrange this to make m the subject.
z + 10 = 2m + 20
z = 2m + 10
We also know that m = 3z. We can substitute this value into our equation.
3m = 2m + 10
m = 10
Use z = 3m to find that z = 30.
You are going on a trip. To get to the beach, you have to drive 475 miles. If you can average 50 miles per hour on your drive, which equation shows how much farther you have to drive over time?
Answer:
C= -50x+475
Step-by-step explanation:
Step one:
given data
distance travelled = 475miles
velocity = 50miles per hour
let the distance you cover per hour be x
hence per hour, your distance decreases by 50x hours
Required:
The expression for the distance remaining
Step two:
let the distance remaining be C
hence the expression
C= -50x+475
Answer:
The answer is in the picture.
please help i will give brainlest
Answer:
Option 1 and 3Step-by-step explanation:
Option 1
Use point (0, 11)
y - 11 = 0 ⇒ y = 11 ⇒ correctOption 2
Incorrect for any pointOption 3
Use point (2, -1)
y + 1 = 0 ⇒ y = -1 ⇒ correctOption 4
Use point (3, -7)
y - 7 = 0 ⇒ y = 7 ⇒ incorrectMax ran 8 miles on Thursday. One mile is equal to 5,280 feet. Which
proportion can be used to determine how many feet, x, Max ran on
Thursday?
Answer:
5280x=y
Step-by-step explanation:
5280(8) = 42240
Given (x+1)2=9, solve for x
Answer:
x= 7/2
2(x+1)=9
x+1=9/2
x=9/2 - 1
x=7/2
Answer:
x=7/2 x=3.5
Step-by-step explanation:
divide both sides by 2
(x+1)(2)/2=9/2
simplify
x+1=9/2
subtract 1 from both sides
x+1-1=9/2-1
simplify
x=7/2
Please state reason as well....
Is it possible to construct a quadrilateral from any 4 given measurements of its sides? State a reason for your answer.
Answer:
It is NOT possible to construct a quadrilateral from any 4 given measurements of its sides.
Step-by-step explanation:
We know that the Quadrilateral is a 2D closed figure with four sides.The Quadrilateral has four vertices or corners.We are asked to tell whether it is possible to construct a quadrilateral from any 4 given measurements of its sides.
Well, in order to construct a quadrilateral from any 4 given measurements of its sides, we need at least five dimensions.
With only 4 given measurements of its sides, we won't know any of its angles.
Thus, it is NOT possible to construct a quadrilateral from any 4 given measurements of its sides.
A company uses 6,000 gallons of
water each month. If they reduce their
monthly water use by 12%, how much
water will be saved each month?
Answer:
5280
Step-by-step explanation:
| -11| -| - 6| what is the absolute value
Answer:
The answer is -5
Step-by-step explanation:
−11−(−6)
=−11−(−6)
=−11+6
=−5
pOiNtS gIvE aWaY i DoNt HaVe MuCh BuT hErE yA gO
Answer:
Gracias generous mane •‿•
Step-by-step explanation:
Answer:yes
Step-by-step explanation:
Jack paid $13.75 to buy 3 slices of pizza and 4 hot dogs at a concession stand. Sarah paid $9.75 to buy 2 slices of pizza and 3 hot dogs from the same concession stand. What is the price of a slice of pizza?
Please help! I will give brainliest to whoever explains how or gets it right
Doug took 93 minutes to answer 31 questions. Click on the equation that can be used to determine the number of questions, q, that Doug answered per minute. How many questions did Doug answer per minute?
What is the simplified form of (3x^2-4x^4-x+9)-(9x^3+6x-x^2+16) in standard form?
Answer:
-4x^4-9x^3+4x^2-7x-7
Step-by-step explanation:
v. If ∆PQR≅∆ XYZ then which statement is true.
a.
If ∆PQR≅∆ XYZ
that means PQ≡XY;QR≡YZ;PR≡XZ
Determine the parent function
WILL GIVE BRAINLIEST! 40 POINTS! please answer right and dont be mean
Answer:
Brainliest are always appreciated :)
Step-by-step explanation:
For Number 1, just make a graph. (THE LINE WILL BE STRAIGHT)
For Number 2:
Proportional is when quantities have the same relative size. In other words they have the same ratio. The cocoa has an equivalent ratio which is why its proportional. This means that as x increases, y increases and as x decreases, y decreases-and that the ratio between them always stays the same.
Could you guys help me ? I'll give brainliest
When you raise a number to a negative exponent, change the exponent to a positive and make the complete number a fraction with 1 as the numerator.
5 ^-2 = 1/5^2
The answer is C.
A kid at Spruance buys candy at wawa for $1 and sells it for $2, Find the
percent change. *
Answer:
100%
Step-by-step explanation:
percentage change is
(new price - old price) / old price
2 - 1 / 1
1 * 100% = 100%
please give thanks by clicking heart button! :)
A grill at Rudy's restaurant will be used to cook sausage links that are2 lb each and briskets that are 8 lb each. No more than 140 lb of sausage links and briskets will be cooked on the grill for a graduation party.
Answer:
Step-by-step explanation:
The first one is correct.
Answer:
The firest one( 2x + 8y ≤ 140 )
Step-by-step explanation:
Prove that (Root of Sec A - 1 / Root of Sec A + 1) + (Root of Sec A + 1 / Root of Sec A - 1) = 2 cosec A
Answer:
The answer is below
Step-by-step explanation:
We need to prove that:
(Root of Sec A - 1 / Root of Sec A + 1) + (Root of Sec A + 1 / Root of Sec A - 1) = 2 cosec A.
Firstly, 1 / cos A = sec A, 1 / sin A = cosec A and tanA = sinA / cosA.
Also, 1 + tan²A = sec²A; sec²A - 1 = tan²A
[tex]\frac{\sqrt{secA-1} }{\sqrt{secA+1} } +\frac{\sqrt{secA+1} }{\sqrt{secA-1} } =\frac{(\sqrt{secA-1)}(\sqrt{secA-1})+(\sqrt{secA+1)}(\sqrt{secA+1}) }{(\sqrt{secA+1})(\sqrt{secA-1}) } \\\\=\frac{secA-1+(secA+1)}{\sqrt{sec^2A-secA+secA-1} } \\\\=\frac{2secA}{\sqrt{sec^2A-1} } \\\\=\frac{2secA}{\sqrt{tan^2A} } \\\\=\frac{2secA}{tanA} \\\\=\frac{2*\frac{1}{cosA} }{\frac{sinA}{cosA} }\\\\= 2*\frac{1}{cosA}*\frac{cosA}{sinA}\\\\=2*\frac{1}{sinAA}\\\\=2cosecA[/tex]