Answer:
A = 340 adult.
C = 398 children.
Step-by-step explanation:
Let the number of children be C
Let the number of adults be A
Translating the word problem into an algebraic equation, we have;
A + C = 738 .......equation 1
1.5C + 2C = 1306 .......equation 2
A = 738 - C .......equation 3
Substituting eqn 3 into eqn 2, we have;
1.5(738 - C) + 2C = 1306
1107 - 1.5C + 2C = 1306
1306 - 1107 = 2C - 1.5C
199 = 0.5C
C = 199/0.5
C = 398 children.
Now, to find the value of A.
From equation 3;
A = 738 - C
A = 738 - 398
A = 340 adult.
How does the graph of g(x) = - 1/x compare to the graph of f(x) = 1/x?
Answer:
The answer is B) g(x) is shift 5 units to the right and 2 units up from f(x).
Step-by-step explanation:
The equation that is given in this item can be written for clarity as follows:
g(x) = 1/(x - 5) + 2
It can be seen that the x-component is subtracted with 5 and the g(x) which would lie in the y-axis is added with two. This suggests that the graph of this equation is shifted to the right by 5 units and upwards by 2 units compared to the graph of the parent function.
The Graph for both function is attached below.
What is Translation?A translation in mathematics does not turn a shape; instead, it moves it left, right, up, or down. They are congruent if the translated shapes (or the image) seem to be the same size as the original shapes. They have only changed their direction or directions.
Given:
g(x) = - 1/x
and, f(x) = 1/x
The Graph shown below.
From the Graph we can see that the graph of g(x)= -1/x and f(x)= 1/x
shows the same graph but the position is changed in opposite of each other.
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if x+y=z which property is used?
Answer:
addition
Step-by-step explanation:
Answer:
Addition??
Yeah maybe in what terms?
Explain how you could find the difference of 1 and 0.1978.
Answer:
0.8022
Step-by-step explanation:
difference=subtraction
so we take 1 - 0.1978 and it equals 0.8022
Answer the attachment please
And subscribe to Offxcial Prxmiise
X=8 and y=3
Answer:
73
Step-by-step explanation:
8^2+3^2=64+9=73
1. Solve the formula h = 42t + 1/2at^2 for a
2. Solve the formula P = 2L + 2W for L.
Answer:
1) a = (2h-84t) / t²
2) L = (P-2W) / 2
Step-by-step explanation:
Formula #1:
step 1: subtract 42t
1/2at² = h - 42t
step 2: multiply by 2
at² = 2h - 84t
step 3: divide by t²
a = (2h - 84t) / t²
Formula #2:
step 1: subtract 2W
P - 2W = 2L
step 2: divide by 2
L = (P-2W) / 2
Select the ordered pairs that are solutions to the system of inequalities {y≤-2x+6x−y<6.
Select all that apply.
Answer:
(1.5, 0)
Step-by-step explanation:
Given the system of inequalities y≤-2x+6x−y<6.
separating the inequality
y≤-2x+6x−y
Get the y intercept. This occurs at x = 0
y≤-2(0)+6(0)−y
y = - y
y+y = 0
2y = 0
y = 0
Get the x intercept. This occurs at y = 0
-2x+6x−y<6
-2x+6x−0<6
4x < 6
x < 6/4
x < 3/2
x < 1.5
Hence the ordered pair is (1.5, 0)
A person is walking at a rate of 9 feet every 4 seconds.
(a) Find their speed, i.e. the rate the distance
Answer:
v = 2.25 ft/s
Step-by-step explanation:
Given that,
A person is walking at a rate of 9 feet every 4 seconds.
We need to find their speed. We know that, the speed of total distance divided by time taken. So,
[tex]v=\dfrac{d}{t}\\\\v=\dfrac{9\ ft}{4\ s}\\\\v=2.25\ ft/s[/tex]
So, the speed is 2.25 ft/s.
The ratio of boys to girls in a school is 5:6. Find the total number of children in the school if there are 6000 girls. Pls help
Answer:
11,000
Step-by-step explanation:
There are 5000 boys and 6000 girls.
5000 + 6000 = 11,000
Answer:
11,000
Step-by-step explanation:
Boys is 6000 so 6000+5000=11000
In a right triangle, if the hypotenuse is equal to 16 feet and the side adjacent to ∠θ is equal to 5 feet, what is the approximate measurement of ∠θ?
A. 18°
B. 75°
C. 15°
D. 72°
Answer:
D. 72°
Step-by-step explanation:
Given
Adjacent = 5feet
Hypotenuse = 16feet
Using SOH CAH TOA
cos theta = adj/hyp
cos theta = 5/16
cos theta = 0.3125
theta = arccos 0.3125
theta = 71.7
theta = 72 degrees
Guys Please help
Tyra has 1223 cups of sugar. If r is the amount of sugar called for in one batch of cookies,
the expression 1223 ÷ r can be used to find how many batches Tyra can make with the sugar she has
If r is 23 cup, how many batches of cookies can Tyra bake
Answer:
53 cookies
Step-by-step explanation:
you divide 1223 and 23, the answer should then be about 53
Find two numbers whose sum is 8 and whose product is 17
Answer:
Step-by-step explanation:
x+y = 8
y = 8-x
xy = 17
x(8-x) = 17
8x - x² = 17
x² - 8x + 17 = 0
Quadratic formula
x = [8 ± √(8² – 4·1·17)] / [2·1]
= [8 ± √(-4)] / 2
= [8 ± 2i] /2
= 4±i
x = 4+i
y = 4-i
A quadratic equation is written in the form of ax²+bx+c. The two numbers whose sum is 8 and whose product is 17 are (4+i) and (4-i).
What is a quadratic equation?A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.
Let the first number be 'a' and the second number be 'b'. Therefore, the sum of the two numbers is,
a+b=8
The product of the two numbers is,
ab=17
b=17/a
now, the equation can be written as,
a+b=8
a+(17/a)=8
a² + 17 = 8a
a²-8a+17=0
a = 4±i
Hence, the two numbers whose sum is 8 and whose product is 17 are (4+i) and (4-i).
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Which of the following statements are not true about parallelograms?
Select all that apply.
1. The area of a parallelogram is half of the product of its length and width.
2. The angles formed by the diagonals of a parallelogram are complementary to each
other.
3. The diagonals of a parallelogram bisect each other.
4. A diagonal divides a parallelogram into two congruent triangles.
5. Two consecutive angles of a parallelogram are supplementary.
9514 1404 393
Answer:
1, 2
Step-by-step explanation:
1. The area of a parallelogram is the product of length and width. The given statement is FALSE.
2. The angles formed by the diagonals are linear pairs, so supplementary. The given statement is FALSE.
3. TRUE
4. TRUE
5. TRUE
__
Statements 1 and 2 are not true.
The width of a rectangle is 9 feet less than the length. The area is 580 square feet. Find the length and width of the rectangle.
Answer:
5220
Step-by-step explanation:
A=580, A=LW, W=L-9
580=L(L-9)
L^2-9L-580=0
(L-29)(L+20)=0, L>0 so L=29, W=29-9=20
A new car is purchased for 20700 dollars. The value of the car depreciates at 11% per year. What will the value of the car be, to the nearest cent, after 11 years?
Answer:
The answer for that is 5744.61
Crusaders attacked the city of Zara to rid it of Muslim influence tr
ue or false
Answer:
true
Step-by-step explanation:
is 0.3 greater than 0.38
Answer:
No
Step-by-step explanation:
Because 0.38 is 0.08 more than 0.3.
.3x+.65 x 175=.50(x+175)
Can you please explain this step by step? Kinda confused about how to figure it out.
Answer:
[tex]x=131.25[/tex]
Step-by-step explanation:
[tex]0.3x+0.65*175=0.5(x+175)[/tex]
[tex]0.3x+113.75=0.5x+87.5[/tex] (Simplify both sides of the equation by multiplying on the LHS and distributing on the RHS)
[tex]0.3x+113.75-0.5x=0.5x+87.5-0.5x[/tex] (Subtract [tex]0.5x[/tex] from both sides of the equation to get all [tex]x[/tex] terms to one side)
[tex]-0.2x+113.75=87.5[/tex] (Simplify)
[tex]-0.2x+113.75-113.75=87.5-113.75[/tex] (Subtract [tex]113.75[/tex] from both sides of the equation to isolate [tex]x[/tex])
[tex]-0.2x=-26.25[/tex] (Simplify)
[tex]\frac{-0.2x}{-0.2} =\frac{-26.25}{-0.2}[/tex] (Divide both sides of the equation by [tex]-0.2[/tex] to get rid of [tex]x[/tex]'s coefficient)
[tex]x=131.25[/tex] (Simplify)
Hope this helps!
Pierre is rowing his kayak on a lake. He moves 1 à miles in 18 minutes. At this rate, how far would he move in 30 minutes ?
A 30 miles
B. 2 miles
OC 18 miles
OD. ot a mile
Answer:
Step-by-step explanation:
if Pierre moves 1 mile in 18 minutes
1 miles..............................18 minutes
? miles...............................30 minutes
the number of miles=30/18=10/6=1.66 miles
Runner A had a minor accident and is now 0.25 miles behind Runner B.
Runner B is currently has a speed of 7 miles per hour.
Runner A attempts to catch up runner B by running 8.5 miles per hour.
How long will it take Runner A to catch up to Runner B?
Answer:
It will take one sixth of a hour, that is, 10 minutes for Runner A to catch up to Runner B.
Step-by-step explanation:
Runner A is 0.25 miles behind Runner B.
Runner B has a speed of 7mph, while Runner A has a speed of 8.5 mph.
This means that each hour, Runner A catches up at a speed of 8.5 - 7 = 1.5 mph.
How long will it take Runner A to catch up to Runner B?
1 hour - 1.5 miles
x hours - 0.25 miles
[tex]1.5x = 0.25[/tex]
[tex]x = \frac{0.25}{1.5}[/tex]
[tex]x = \frac{1}{6}[/tex]
It will take one sixth of a hour, that is, 10 minutes for Runner A to catch up to Runner B.
5
A bag contains 15 red marbles, 13 blue marbles,
and the rest are yellow marbles. There are a
total of 50 marbles in the bag. What is the
probability of choosing a yellow marble?
Answer:
red +blue marbles :- 15 +13=28 marbles.
yellow marbles:- 50+28=22 marbles.
probability of yellow marble :- 22/50 i.e 11/25
The Crews family went on a day trip to Nashville. For lunch they paid $7.50 for each adult meal and $5 for each child meal for a total of $65. For dinner the family paid $10.50 for each adult meal and $5 for each child meal for a total of $77. How many adults and how many children were on the trip?
Answer:
Number of adult were on the trip = 4
Number of child were on the trip = 7
Step-by-step explanation:
Let the Number of adult were on the trip = x
Let the Number of child were on the trip = y
As given,
For lunch they paid $7.50 for each adult meal and $5 for each child meal for a total of $65.
⇒7.50x + 5y = 65 ...........(1)
Also,
For dinner the family paid $10.50 for each adult meal and $5 for each child meal for a total of $77.
⇒10.50x + 5y = 77 ...........(2)
Now,
Subtract equation (2) from equation (1) , we get
10.50x + 5y - ( 7.50x + 5y ) = 77 - 65
⇒10.50x + 5y - 7.50x - 5y = 12
⇒10.50x - 7.50x = 12
⇒3x = 12
⇒x = [tex]\frac{12}{3}[/tex] = 4
⇒x = 4
Now,
Put the value of x in equation (2) , we get
10.50(4) + 5y = 77
⇒42 + 5y = 77
⇒5y = 77 - 42
⇒5y = 35
⇒y = [tex]\frac{35}{5}[/tex] = 7
⇒y = 7
∴ we get
Number of adult were on the trip = x = 4
Number of child were on the trip = y = 7
Math help!! Answers to 7,8,9?
Answer:
7 is D which is 18.4...
8 is C: 42
9: C: 8.9
Step-by-step explanation:
hope it helps...
The Anderson's are driving 2,563 miles to the beach. They plan to drive 325 miles a day. How many days will it take the Anderson's to drive to the beach?
Answer:
Around 8 days
Step-by-step explanation:
Divide 325 from 2,563
2563 / 325 = 7.888
Round that number
Prove that the value of the expression: 731^2−631^2 is divisible by 100
Answer:
Step-by-step explanation:
731² - 631² is the difference of squares.
731² - 631² = (731+631)(731-631) = 1362×100
therefore, 731² - 631² is divisible by 100
Write the function whose graph is the graph of y=√x, but is shifted to the left 7 units .
Answer:2x + 7 = 15
Step-by-step explanation:
2x + 7 = 15
Set up a proportion and use it to solve for x.
14
х
6
9
Answer:
x=21
Step-by-step explanation:
x/x+14=9/15
15x=9x+126
6x=126
x=21
25 POINTS!!!
What shape can be created by the given net?
triangular prism
square pyramid
cube
rectangular prism
Answer:
It's a rectangular prism :)
Step-by-step explanation:
Well I automatically know this because,
it can't be a triangle since the left and right corners aren't angled with 3 sides like a triangle
It can't be a square pyramid because that would mean it is the shape of a triangle when folded with a square base
It can't be a cube because cubes have sides equal in length, while this shape when folded is long in length and short in width
So the answer is a rectangular prism! Rectangles have long lengths and short widths and if this shape is folded from 2D to 3D that makes it a prism.
Hope this helps! Have a meowgical day :)))
Rectangular prism shape can be created by the given net.
What is triangular prism?A triangular prism is a 3D polyhedron with three rectangular faces and two triangular faces. The 2 triangular faces are congruent to each other, and the 3 lateral faces which are in the shape of rectangles are also congruent to each other. Thus, a triangular prism has 5 faces, 9 edges, and 6 vertices.
What is square pyramid?A square pyramid is a three-dimensional geometric shape that has a square base and four triangular sides that are joined at a vertex. It is a polyhedron (pentahedron) with five faces. A square pyramid consists of a square base and four triangles connected to a vertex. Its base is a square and the side faces are triangles with a common vertex.
What is cube?A cube is a 3D solid object with six square faces and all the sides of a cube are of the same length. It is also known as a regular hexahedron and is one of the five platonic solids. The shape consists of six square faces, eight vertices, and twelve edges. The length, breadth, and height are of the same measurement in a cube since the 3D figure is a square that has all sides of the same length
What is a rectangular prism?A rectangular prism is a prism whose bases (the top face and the bottom face) are also rectangles. It has 6 faces in all, out of which there are 3 pairs of identical opposite faces, i.e., all the opposite faces are identical in a rectangular prism. It has three dimensions, length, width, and height.
A rectangular prism has 6 faces, 12 edges (sides) and 8 vertices (corners). In the 12 edges, 3 edges intersect to form right angles at each vertex.
According to the question
We can observe that the net consists of 6 faces, out of which there are 3 pairs of identical opposite faces.
A rectangular prism is a prism whose bases (the top face and the bottom face) are also rectangles. It has 6 faces in all, out of which there are 3 pairs of identical opposite faces, i.e., all the opposite faces are identical in a rectangular prism. It has three dimensions, length, width, and height.
We can say that the given net is of rectangular prism.
Option D is correct.
Thus, rectangular prism shape can be created by the given net.
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Solve.
sec 315 degrees
Answer:
1.41
Step-by-step explanation:
42% of a number is 210. What is the number
Answer:
number is 500 hope this helps
Answer:
42%of n=210
42/100 ×n=210
n=21000/42=500
Find the missing side. Round to the nearest tenth. 16 53° A) 20.0 C) 12.8 B) 25.8 D) 23.1
Answer:
b. 12.8
Step-by-step explanation:
napag aralan po namin yan boss