The number of half page advertisements that Michael purchased is 4 while the full page advertisements is 11.
What is elimination method?The elimination approach involves taking one variable out of the system of linear equations by utilising addition or subtraction together with multiplication or division of the variable coefficients.
Let the number of half page ads be represented by h
Let the number of full page ads be represented by f.
Total number of advertisements = 15
h + f = 15 ....... (i)
h = 15 - f
Therefore, the system of equations to represent the situation will be:
60h + 100f = 1340 ........ (ii)
Put the value of h into equation (ii)
60(15 - f) + 100f = 1340
[tex]\Rightarrow[/tex] 900 - 60f + 100f = 1340
Collect like terms
100f-60f = 1340-900
[tex]\Rightarrow[/tex] 40f = 440
[tex]\Rightarrow[/tex] f = 11
The number of full-page advertisements that Michael purchased is 11.
Since h + f = 15
[tex]\Rightarrow[/tex] h + 11 = 15
[tex]\Rightarrow[/tex] h = 15 - 11
[tex]\Rightarrow[/tex] h = 4
The number of half page advertisements that Michael purchased is 5.
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Write an equation in point-slope form of the line that passes through the given point and with the given slope m.
(-3,1), m= 7
Answer:
y=7x+22
Step-by-step explanation:
the equation of a line is y=mx+b
we know that 7 is m so
y=7x+b
but we got to find b
so we use the point (-3,1) and substitute in our equation
1=7(-3)+b
lets find b
1= -21+b
22=b
okay then we found b now lets go to our original problem and substitute b
y=7x+22
I hope this helped you :)
Tyrone has 16 model airplanes on his shelf. He has 4 times as many model airplanes as model trains. How many model trains does Tyrone have?
Write multiplication and division equations to model and solve the problem. Use m for the unknown
Answer:
Step-by-step explanation:
m=16/4 this one is division
16= 4*m multiplacation
The naturalist found 9 bright blue poisonous frogs in South America. Each frog weighed 3 grams. In all, how much did the 9 frogs weigh? A) 39 grams in all B) 27 grams in all C) 12 grams in all D) 36 grams in all
Answer: B) 27 grams in all
Step-by-step explanation:
Given: The weight of each bright blue poisonous frog = 3 grams
By using the multiplication operator (x)
Then, the weight of 9 such frogs = 9 x (Weight of each frog)
⇒ The weight of 9 frogs = 9 x 3 grams
⇒ The weight of 9 frogs = 7 grams
Therefore, the correct option is B) 27 grams in all
A wildlife photographer photographs a crocodile and then paddles against a river current for 6 km. Then, hoping to photograph a hippopotamus, she paddles 15 km across a lake. She paddles across the lake for one hour longer than she paddled up the river. Find the speed of the boat as she paddles the lake if the river current is 2 km/h.
Answer:
5 or 6
Step-by-step explanation:
So I did it in a different way than shown in rsm classes. I said that the speed was x-2 and x.
then I said the distance was 6 and 15. If the time taken was 1 hour more, then we can come up with this equation:
Since the time is 6/x-2 or 15/x
15/x-6/x-2=1
multiply everything to get a common denominator then cancel it out to get
(15x-30)-6x=x^2-2x
11x-30=x^2
x^2-11x+30=0
(x-5)(x-6) is factored form.
so x=5 or x=6. this means that the speed of the boat is either 5km/h or 6 km/h
-2.7F + 0.4F - 11 - 9
How do I solve this, like I understand the first few parts but when I have to combine Like terms I get stuck♀️
Answer:
-2.3F-20
Step-by-step explanation:
-2.7F + 0.4F - 11 - 9 = -2.3F-20
Answer:
I think when you collect all the like terms the equation comes out to be
Step-by-step explanation:
-2.3F - 20
what does -2x + 9 look like on a graph?
Answer:
The line of the graph will be going down 2/1 and will pass through the y intercept at 9.
Step-by-step explanation:
Hope this helps a little.
Answer:
this
Step-by-step explanation:
use desmos if u need more help
given angle FLY what is tan40?
FL/LY
LY/FL
FY/FL
LY/FY
FY/LY
FL/LY
Answer:
tan = opposite/adjacent
tan 40 = LY/FY
Step-by-step explanation:
If 5 friends each had one part of a scarf that's 1 and 5/12 yards long what fraction of the scarf could each friend knit
Answer:
17/60 yards of scarf
Step-by-step explanation:
If 5 friends each had one part of a scarf that's 1 and 5/12 yards long what fraction of the scarf could each friend knit
To solve the above question:
5 friends = 1 5/12 yards
1 friend = x yards
Cross Multiply
5 × x = 1 × 1 5/12 yards
x = 17/12 yards ÷ 5
x = 17/12 yards × 1/5
x = 17/60 yards of scarf
Answer:
its D
Step-by-step explanation:
1x5/12 + 5/12 1 X 5 = 5 SO 1 X 5/12 IS D
Find the length of a photograph whose width is 10 inches and whole proportions are the same as a 5-inch by 8-inch photograph.
5 inch is the width, 8 inch is the length.
Find to scale between the two widths:
10 /5 = 2 the larger photo is 2 times larger,
Multiply the known length by 2:
8 x 2 = 16
The length would be 16
Answer:
length = 4
Step-by-step explanation:
if the width of 10 is the same as a 5 by 8 photographer u can set up a proportion.
10/5 = x/8
[tex]y = - 3x + 12[/tex]
what is the slope?
An Math problem that involves decimals and = 5
The number of bacteria in a certain population increases according to a continuous exponential growth model, with a growth rate parameter of 1.1% per hour. How many hours does it take for the size of the sample to double?
Answer:
2.2 i thinkkk
Step-by-step explanation:
I really really need help fast please
Answer:
-4.24264069; -4.2 (nearest tenth); -4.24 (nearet hundreths)
Step-by-step explanation:
square root of 72 = 8.48528137 or 8.5 (rounding to tenths)
square root of 2 = 1.41421356 or 1.4
square root of 128 = 11.3137085 or 11.3
zola earned $30 by working two hours and receiving a $12 bonus. what expression matches that expression?
15(h) + 12
h = hours worked
//
15(2) + 12
11 ounces of tomato soup has 70 calories. How many calories are in 22
ounces of soup? *
Answer:
140 ounces
Step-by-step explanation:
We use ratio and proportion.
[tex]\frac{11}{22} =\frac{70}{x}[/tex]
Cross multiply, and you get:
11x = 1,540
Divide both sides by 11. Thus:
140 ounces.
Answer:
140
Step-by-step explanation:
70/11 = 6.363636364
6.363636364 * 22 = 140
THEY ARE REAL- PLEASE THEY AREN’T FAKE
PLLSSS OMGG IM CRYINGG THE LITTLE HATT
3
5
7
9
у
6
12
18
24
Step-by-step explanation:
3 to the 5 must add 2 so to find answers 'y' we must add 2 at 9 so answers is 11
5 minutes left!!! HELP!!!
The candy store is having a 30% off sale. Emma is going to buy $12.50 worth of candy. How much will she pay after the discount?
James cut out four parallelograms, the dimensions of which are shown below. Parallelogram 1 length: 12 in. width: 15 in. diagonal: 20 in. Parallelogram 2 length: 16 in. width: 30 in. diagonal: 34 in. Parallelogram 3 length: 20 in. width: 21 in. diagonal: 29 in. Parallelogram 4 length: 18 in. width: 20 in. diagonal: 26 in. James put the parallelograms together so one vertex from each paper exists on a point, as shown in the circle. 4 parallelograms are put together so that one vertex from each paper exists on a point. Which statement explains whether or not the parallelgrams can be put together so each occupies one-quarter of the area of the circle without overlapping any other pieces? Check all that apply.
Answer:
B. The quadrilaterals cannot be placed such that each occupies one-quarter of the circle because the vertices of parallelogram 1 do not form right angles.
E. The quadrilaterals cannot be placed such that each occupies one-quarter of the circle because the vertices of parallelogram 4 do not form right angles.
Step-by-step explanation:
P1: 12^2+15^2=20^2 144+225=400 369=400
P2: 16^2+30^2=34^2 256+900=1156 1156=1156
P3: 20^2+21^2=29^2 400+441=841 841=841
P4: 18^2+20^2=26^2 324+400=676 724=676
So the answers are B and E
Answer:
b and e
Step-by-step explanation:
Maria is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices. Company A charges $121 and allows unlimited mileage. Company B has an initial fee of $65 and charges an additional $0.70 for every mile driven. For what mileages will Company A charge less than Company B?
Use m for the number of miles driven, and solve your inequality for m.
Answer:
m=42/0.7
m=60 miles they will be costing the same
Step-by-step explanation:
why is 60% greater than 3.75
What will be the answer?
Answer:
150 shld be the answer ... Option E
Step-by-step explanation:
MARK ME THE BRAINLIEST PLZZZZ
Which expression is a factor of 36x2−9?
6x−9
18x−9
6x−3
18x−3
Answer:
C
Step-by-step explanation:
Comment
This is called the difference of squares. Both sides of the minus sigh must be perfect squares or able to be factored in such a way that you are left with perfect squares. 36x^2 is a perfect square. If you take its square root, you get √36x^2 or 6x. That makes B and D incorrect. So what about A and C?
A:The left side of 36x^2 is correct, but the right side is not. The left side of 36x^2 has a square root of 6x.
The right side has been left alone and it shouldn't be.
The 9 is a perfect square. Its square root is 3. That makes C the answer.
Spiral Review. Find the value of the expression below
9 + 4³ x (20 - 8) ÷ 2 + 6
WRONG ANSWERS REPORTED
Answer:
399
Step-by-step explanation:
9+4^3*(20-8)/2+6
9+(4)(4)(4)(12)/2+6
9+64(12)/2+6
9+768/2+6
15+768/2
15+384
399
Which of the following is a polynomial?
A. X^4+ x^-4+ 16
B. 1/2+ 2
C. x2-1
D. (x^6- 2)
(x^4 +3)
solve for x solve for x
Answer:
x=5
Step-by-step explanation:
since two sides are congruent, the two unknown angles are congruent.
All triangle angles total 180 degrees.
so:
180-88=92
92/2=46
9x+1=46
9x=45
x=5
Answer:
The answer is x=5
180:60 in its simplest form
Step-by-step explanation:
here is it your
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If a submarine descends to the ocean floor which is 2,100 feet below sea level in 3 hours, what is the rate of descent?
Answer:
700 feet per hour is the rate of descent
Step-by-step explanation:
3 hours is 2100 so 2100/3 is 700 which is per hour
m + 1 = 8
But what’s the m=__
Answer:m= 7.
Step-by-step explanation: first you do 8-1. 8-1 gives you 7. Therefore m=7
Answer: m = 7
Explanation: When you're asked to solve for m in an equation, what you're really being asked to do is to get m by itself on one side of the equation.
In this problem, since 1 is being added to m, in order to get m
by itself, we must subtract 1 from the left side of the equation.
If we subtract 1 from the left side of the equation, remember that
we must also subtract 1 from the right side of the equation.
So on the left, +1 and -1 cancel each other out
and on the right, 8 - 1 simplifies to 7.
So m = 7.
Which of the following is a tautology?
a. Proposition
b. Modus Tollens
c. Argument
d. Affirming the Disjunct