Answer:
Cost of One Journal = $3.99
Cost of One pen = $0.59
Step-by-step explanation:
Let
Cost of One Journal = x
Cost of One pen = y
We can make equation from given statements.
Mr. Bowden purchases 18 journals and 40 pencils for $95.42.
[tex]18x+40y=95.42[/tex]
Ms. Jacinto purchases 11 journals and 16 pencils for $53.33.
[tex]11x+16y=53.33[/tex]
Now solving these equations to find the value of x
[tex]18x+40y=95.42--eq(1)\\11x+16y=53.33--eq(2)[/tex]
Multiply eq(1) with 2 and eq(2) with 5
[tex]36x+80y=190.84\\55x+80y=266.65\\-\:\:\:\:-\:\:\:\;\:\:\:\:\:\:\:-\\---------\\-19x=-75.81\\x=\frac{-75.81}{-19}\\x=3.99\\[/tex]
We get the value of x is: x=3.99
Now, putting value of x in equation 1 to find value of y.
[tex]18x+40y=95.42\\18(3.99)+40y=95.42\\71.82+40y=95.42\\40y=95.42-71.82\\40y=23.6\\y=\frac{23.6}{40}\\y= 0.59[/tex]
So, we get the value of y: y = 0.59
Now, finding the costs:
Cost of One Journal = x = $3.99
Cost of One pen = y = $0.59
1.
Write the ratio 2:6 in its simplest form.
Answer:
1:3
Step-by-step explanation:
2:6 common multiple is 2 so 2:6 divide by 2 is 1:3
Answer:
1:3
Step-by-step explanation:
this is the answer understand
help I'm confused there are many formulas, and do not know which one is right
9514 1404 393
Answer:
384 cm²
Step-by-step explanation:
It is always a good idea to take a look at what you have and what you are being asked before you go launching into formulas. Then you can pick the formula(s) appropriate to your needs.
__
Your pyramid has a square base, so four (4) triangular faces. The area being asked for is the total of the areas of the square base and those triangular faces.
The formula for the area of a square is ...
A = s² . . . . . where s represents the side length
Here, the side of the square is 12 cm, so the area of the square base will be ...
A = (12 cm)² = 144 cm²
__
The formula for the area of a triangle is ...
A = 1/2bh . . . . . where b is the base length and h is the altitude
In this problem, you're not given the altitude of the triangular face (also called the "slant height" of the triangle). Instead, you're given the height of the pyramid. So, you have to determine the slant height.
Consider the cross section you get when you cut the pyramid with a vertical plane through the peak and the middle of opposite sides. It will be an isosceles triangle with a base equal to the side length of the pyramid, and side lengths equal to the slant height of the pyramid face. See the attachment for an idea of what this looks like.
In order to determine the length of the side of that cross-section triangle, draw its altitude. That is the 8 cm height of the pyramid. Then use the Pythagorean theorem to find the hypotenuse of the right triangle with legs 6 cm and 8 cm:
slant height = √(8² +6²) = √100 = 10 . . . . cm
Now, we can find the area of one of the four triangular faces:
A = (1/2)(12 cm)(10 cm) = 60 cm²
__
The surface area of the pyramid is then ...
surface area = base area + 4 × triangular face area
surface area = 144 cm² + 4 × 60 cm² = (144 +240) cm²
surface area = 384 cm²
Evaluate: (2.3)2
I need help fast !!!!!!!!!!!!!!!!
Answer:
4.6???
Step-by-step explanation:
Answer: 4.6
(2.3)2
2.3+2.3 = 4.6
3(x+y)=y
If (x,y) is a solution to the equation above and y does not equal 0, what is the ratio x/y?
please add an explanation.
3(x+y)=y
y is not equal to zero
*Solution
1. The given equation is 3(x+y) = y and we are tasked to find the ratio between x and y. Distributing 3 to the terms in the parenthesis,
3(x+y) = y
3x + 3y = y
Transposing 3y to the right side OR subtracting 3y from both the left-hand side and the right-hand side of the equation would give
3x = -2y
Dividing both sides of the equation by 3,
x = (-2/3)y
Dividing both sides of the equation by y,
x/y = -2/3
Therefore, the ratio x/y has a value of -2/3 provided that y is not equal to zero.
help pls due today thanks
Answer:
18/3 is 6
-18/3 is -6
-18/(-3) is 6
18/(-3) is -6
the product of two number is 20 and the sum of square is 41 find the number
Answer:
Answer. The numbers are 4 and 5. Their sum = 25 + 16 = 41.
-9, -6, -1, 6, 15 …
What is the 8th term of the sequence?
These tiles represent the expression x + 7x + 2.
1
Х
X X X X X X X
1
Which expression is equivalent to x + 7x + 2?
8x + 2
8x + 9
10x
9x + 1
Answer:
the answer is A
Step-by-step explanation:
x + 7x + 2 = 8x + 2
a frame holds a picture that is 15 inches long and x inches wide. The frame border is 3 inches wide around the picture. what expression represents the are of the frame border
9514 1404 393
Answer:
border area = 6x +126
Step-by-step explanation:
The dimensions of the picture with its frame will be ...
(15 +2×3) long by (x +2×3) wide
The border area is the difference between the picture overall frame area and the picture area:
border area = (15+6)(x+6) -(15x) = 21x +126 -15x
border area = 6x +126
Answer:
hvjv
Step-by-step explanation:
The table below represents Mark's assets and liabilities.
Item
Value
Pocket Money
$18
Checking Account Balance $45
Loan from friend
$14
Check for mowing lawn $25
What is the total of Mark's liabilities?
O $39
O $25
O $18
O $14
Answer:
18
Step-by-step explanation:
You paid $32.00 for 8 gallons of gasoline. How much would you pay for 10
gallons of gasoline?
Answer:
Divide 28 by 8. the answer is $3.50. That’s the money you pay per gallon. Multiply 3.50 by 15 and the final answer is: 52.50
Step-by-step explanation:
A chameleon is looking for prey. Let positive numbers represent the elevation of prey above the chameleon and negative numbers represent the elevation of prey below the chameleon. The chameleon spots a fly at 4 \text{ m}4 m4, start text, space, m, end text and a grasshopper at -6\text{ m}−6 mminus, 6, start text, space, m, end text. What does an elevation of 0 \text{ m}0 m0, start text, space, m, end text represent in this situation?
Answer:
B: The elevation of the chameleon
Step-by-step explanation:
The Fly is above the chameleon, so its elevation should be represented by a "positive number"(Example of positive number: 16)
Also,
The Grasshopper is below the chameleon, so its elevation should be represented by a "negative number"(Example of negative number: -23)
ඞHope this helps u because i got dis question from Khan Academyඞ
The spring shown below is sitting on a flat surface and it is pushed together with a weight.
What type of energy does the spring currently have?
A.
elastic potential energy
B.
kinetic energy
C.
gravitational potential energy
D.
chemical potential energy
PLEASE I NEED HELP RIGHT NOW PLZZZ!!!
Answer:
A.elastic potential energy I Hope It HelpsHow to Simplify (7x+2)+(x+8)-2x
Answer:
Step-by-step explanation:
The answer to this should be 2(3x+5)
The simplified answer of this is 6x+10
I hope I helped you out.
Answer:
P: ()
E: 5^4 (example)
M:x
D: ÷
A:+
S:-
Can someone who is smart in math help please algebra one
Answer:
I'm not sure but y=1 may be the answer
Answer: (0,1)
Step-by-step explanation:
Which table represents the statement "Di runs at a rate of 4 meters per second " ?
Answer:
d=4t
Step-by-step explanation:
lucy’s hair grew 5/12 foot over the past year
Answer:
5 inches
Step-by-step explanation:
5/12 feet is 5 inches because there are 12 inches in a foot.
The population of a town is 12,000, and it grows at a rate of 5% per year. Write an exponential function in the form [tex]y=ab^{x}[/tex] that represents the situation
Answer: Exponential function: [tex]y=12000(1.05)^x[/tex]
Step-by-step explanation:
Exponential function: [tex]y=ab^x[/tex] , a = initial value , x= time, b= growth factor , b= 1+r , where r=rate of growth.
Given: Initial population = a= 12,000,
rate of growth = r= 5% = 0.05
Then, b= 1+r= 1+ 0.05 = 1.05
Substitute value of a and b in (i), we get
[tex]y=12000(1.05)^x[/tex]
Hence, The required exponential function: [tex]y=12000(1.05)^x[/tex], where x= time.
Find CD if C and D are midpoints segment XY and ZY respectively.
Options:8,10,12,6
Answer:
CD=8
Step-by-step explanation:
CD=1/2 of ZX
1/2 of 16= 8
Hope this helps!
Please mark me brainliest if you can. :)
A diver went 3 feet below the surface of the water and tagged a rock with a flag, and then went down an additional 2 feet to tag another rock.
Which number line is a correct representation of the distance between the two flags?
A.
B.
C.
D.
Answer:
its . B
Step-by-step explanation:
becuse i took the test -x-
hoped it helped
Jack is shopping. Last week he bought $10 of groceries and ended up paying $10.07 after taxes. This week he's buying $15 of groceries. If the tax rate remains the same, how much will he end up paying after taxes?
Answer:
16.05
Step-by-step explanation:
first I realized 7 cents is .07% of 10 the I multiplied .07 times 15 then I added them up and got the answer
QUESTION 1
Find the remaining sides of a 30° -60°-90° triangle if the shortest side is 3.
Answer:
the other sides are 6 and 3√3
Step-by-step explanation:
Answer:
x = 6
Step-by-step explanation:
Right Triangle
We are given a right triangle whose shortest side has a length of 3 units. This side must be opposite to the smallest acute angle of 30°.
The triangle is shown in the figure attached.
The tangent ratio relates the opposite side with the adjacent side. The formula can be applied to the angle of 30° as follows:
[tex]\displaystyle \tan 30^\circ=\frac{\text{opposite leg}}{\text{adjacent leg}}[/tex]
[tex]\displaystyle \tan 30^\circ=\frac{3}{y}[/tex]
Solving for y:
[tex]\displaystyle y=\frac{3}{\tan 30^\circ}[/tex]
Since:
[tex]\tan 30^\circ=\frac{1}{\sqrt{3}}[/tex]
[tex]\displaystyle y=3\sqrt{3}[/tex]
Now applying the sine to find the hypotenuse x:
[tex]\displaystyle \sin 30^\circ=\frac{\text{opposite leg}}{\text{hypotenuse}}[/tex]
[tex]\displaystyle \sin 30^\circ=\frac{3}{x}[/tex]
Solving for x:
[tex]\displaystyle x=\frac{3}{\sin 30^\circ}[/tex]
Since:
[tex]\sin 30^\circ=\frac{1}{2}[/tex]
[tex]\displaystyle x=\frac{3}{\frac{1}{2}}[/tex]
x = 6
In hopes of encouraging healthier snacks at school, Josie brought in a tray of carrot sticks and apple slices to share. The tray had a total of 60 snacks, of which 70% were carrot sticks. How many carrot sticks did Josie bring?
Leslie leaves her house and drives to another city for her
sister's wedding. She drives 77 miles north and then 420
miles east. How far is Leslie from her house? HELP PLEASE
Answer:
Step-by-step explanation: You have to add the number
420
+77
497
Students were asked to choose their favorite sport
and 5/9chose either basketball or soccer. If 1/9 of the
students chose basketball, what fraction chose
soccer?
Answer:
5/9-1/9=4/9
Step-by-step explanation:
5/9 chose basketball or soccer. 1/9 chose basketball.
answer is 4/9A car travels 120 miles on 2 gallons of gas. How far does the car travel on 1 gallon of gas? *
Answer:
60 miles
Step-by-step explanation:
120/2=60 or 60x2=120
Answer:60 miles
Step-by-step explanation:
120/2=60
An equilateral triangle has a side length of 12sqrt(3) inches. What is the length of the altitude of the triangle?
HELP ASAP
Answer:
18 inches.
Step-by-step explanation:
Let x inches be the altitude of the triangle.
By Pythagoras Theorem,
[6sqrt(3)]^2 + x^2 = [12sqrt(3)]^2
108 + x^2 = 432
x^2 = 324
x = 18
So the altitude of the triangle is 18 inches.
Please help me guys
2+2
Answer:
Step-by-step explanation:
2 plus 2 is four (4)
How many 1/3 are in 2 2/3
Answer:
8/3
Step-by-step explanation:
You have to count each third and eventually you would get 8/3.
Please help I’ll mark you as brainliest if correct
Answer:
Yes the answer is 69.08