Answer:
5 children & 7 adults
Step-by-step explanation:
6a+10b=100$
a=5
b=7
(6×5)+(10×7)=30$+70$=100$
The required system of equation is given be x + y = 12 and 10x +6y = 100.
A group of 12 people went to see a movie. The cost to go to the movie is $10 for an adult and $6 for a child. The total cost for the group was $100.
The equation is the relationship between variables and is represented as an example y = x +2 of a polynomial equation.
Let the number of adults be x and the number of a child be y.
Total people = x + y
20 = x + y - - - - -(1)
The cost to go to the movie is $10 for an adult and $6 for a child.
10x + 6y = total cost
The total cost for the group was $100.
10x + 6y = 100 - - - - (2)
Equations 1 and 2 represent the required system of equations.
Thus, the required system of equation is given be x + y = 12 and 10x +6y = 100.
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5196
A large rectangle is made by joining three identical small rectangles as shown.
The perimeter of one small rectangle is 21 cm.
The width of one small rectangle is x cm.
x cm
Work out the perimeter of the large rectangle.
The final line of your answer should be of the form,
Perimeter of large rectangle is ... cm
Answer:
35 cm
Step-by-step explanation:
As shown in the image attached, the A large rectangle is made by joining three identical small rectangles,
The width of one small rectangle is x cm and the length of one small rectangle is 2x cm. Therefore the perimeter of the small rectangle is given as:
2(length + width) = Perimeter
2(2x + x) = 21
2(3x) = 21
6x = 21
x = 21/6 = 3.5 cm
x = 3.5 cm
From the image attached, the width of the large rectangle is 2x (x + x) and the length is 3x (2x + x). Therefore, the perimeter of the large rectangle is:
2(length + width) = Perimeter
2(3x + 2x) = Perimeter
Perimeter = 2(5x)
Perimeter = 10x
Perimeter = 10(3.5)
Perimeter = 35 cm
The rate StartFraction 165 ounces Over 11 boxes EndFraction describes the relationship between the number of boxes and the weight of the crackers in the boxes. What is the weight, in ounces, of one box?
Answer:
The weight in ounces of one box = 15ounces
Step-by-step explanation:
We are told the relationship between the number of boxes and the weight of the crackers in the boxes is given as 11boxes and 165ounces respectively.
In order words, 11boxes weigh 165ounces.
To determine the weight, in ounces, of one box, we would divide the weight of the 11boxes by the number of boxes.
Weight of the 11boxes = 165ounces
Number of boxes that gives that weight = 11
The weight of one box = 165/11
The weight of one box = 15ounces
Answer:
(C)
Step-by-step explanation:
I took the quiz
+
Complete the fraction calculation below
3/8 + 1/6
Answer:
[tex]\frac{13}{24}[/tex]
Step-by-step explanation:
=> [tex]\frac{3}{8} +\frac{1}{6}[/tex]
LCM = 24
=> [tex]\frac{9+4}{24}[/tex]
=> [tex]\frac{13}{24}[/tex]
Answer:
[tex]\frac{13}{24}[/tex]
Step-by-step explanation:
[tex]\frac{3}{8} +\frac{1}{6}[/tex]
[tex]\frac{3 \times 6}{8\times 6} +\frac{1\times8}{6\times8}[/tex]
[tex]\frac{18}{48} +\frac{8}{48}[/tex]
[tex]\frac{18+8}{48}[/tex]
[tex]\frac{26}{48}[/tex]
[tex]\frac{13}{24}=0.54166...[/tex]
Jayden is running laps at track practice. The track is 25 kilometers around. Jayden runs 1 lap in 2 minutes. How many minutes does it take Jayden to run 1 kilometer?
Answer:
0.08 minutes for a kilometer.
Step-by-step explanation:
If the track is 25 kilometers, and he runs 25 kilometers in 2 minutes, he runs a kilometer in 2÷25 minutes or 0.08 minutes which is 4.8 seconds.
I'm pretty sure the track isn't 25 kilometer or he can't run a lap in 2 minutes. But if so, the answer is 0.08 minutes.
which funtion's domain consists of all real numbers execpt -2 will mark brainliest and im giving 87 points
Answer:
A
Step-by-step explanation:
Basically when we have x in the denominator, we don't want the denominator to be 0 as the value of f(x) will then be undefined. Therefore the answer is A.
Express in the form n : 1 12 : 2
Answer:
6 : 1
Step-by-step explanation:
Given the ratio
12 : 2 ( divide both parts by 2 )
= 6 : 1 ← in the form n : 1
Each of these figures is based on a rectangle whose centre is shown.
How many of the figures have rotational symmetry of order two?
The last 2 shapes.
When you rotate both of them 360 degrees only at 180 and back at 360 it looks same.
Can anybody help me with this and show work ?? :)
Answer: 3/2
Step-by-step explanation:
Just take the length of 1 side, for example LP, and count the length in units.
LP = 8 units
Now, L’P’ = 12 units, so divide the length of L’P’ by LP to get the factor of dilation.
12/8 = 3/2
The transformation from the function f(x)=3x to the function f(x) 3x-8
Answer:
It moves 8 to the right
Step-by-step explanation:
This is in the y axis so it will move 8 on the x axis
Help! Find the values of x and y
Answer:
y=34, x=17 root 3
Step-by-step explanation:
30 60 90 triangle.
Shortest side is x, hypotenuse is 2x, bottom length is x root 3
Answer:
Using the Leg Opposite to 30° Theorem we derive that y = 34 and from the Pythagorean Theorem, x = 17√3.
5. BD and EG are parallel lines. Find the angle marked x in the picture
below. *
Answer:
The third option: 48 degrees.
Step-by-step explanation:
Angle GFH is congruent to angle CFE, which is congruent to ACB, therefore, all are congruent and equal to 48.
Answer:
x = 48
Step-by-step explanation:
∠x ≅ ∠C (vertical angles)
∠C ≅ ∠CFG (corresponding angles)
∠CFG ≅ ∠HFG ≅ 48° (vertical angle)
So
∠x ≅ 48 (Transitive property of equality)
Consider this cylinder with the given base area and height measures. A cylinder with height of 9 inches and Base B = 12 pi inches squared. Use the formula to calculate the volume. What is the volume of the cylinder? Cylinder V = Bh V = four-thirds pi inches cubed V = 21 pi inches cubed V = 54 pi inches cubed V = 108 pi inches cubed
Answer:
108 pi inches cubed
Step-by-step explanation:
The volume of a cylinder is base area times volume. Since we have our base area of 12 pi, and our height of 9, we have the are as 12* 9 = 108 pi inches cubed. Thus, the answer is D.
Answer:
108
Step-by-step explanation:
The volume of the Atlantic Ocean is about 3.1 \cdot 10^{17}3.1⋅10 17 3, point, 1, dot, 10, start superscript, 17, end superscript cubic meters. The Mississippi River has an annual flow of 6.3 \cdot 10^{11}6.3⋅10 11 6, point, 3, dot, 10, start superscript, 11, end superscript cubic meters. How many times would the annual flow of the Mississippi River fit in the Atlantic Ocean? Write your final answer in scientific notation, and round to two decimal places.
Answer:
4.92*10^5
Step-by-step explanation
The annual flow of the Mississippi River would fit in the Atlantic Ocean approximately 4.92 x 10⁵ times.
What is volume?The space occupied by an object in three-dimensional space is called the volume of an object. In simple words, space is taken by an object.
To find out how many times the annual flow of the Mississippi River would fit in the Atlantic Ocean, we need to divide the volume of the Atlantic Ocean by the annual flow of the Mississippi River:
number of times = (volume of Atlantic Ocean) / (annual flow of Mississippi River)
= (3.1 x 10¹⁷ cubic meters) / (6.3 x 10¹¹ cubic meters)
= 4.92 x 10⁵
Rounding to two decimal places, the final answer is approximately 4.92 x 10⁵. Therefore, the annual flow of the Mississippi River would fit in the Atlantic Ocean approximately 492,000 times.
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A town has a population of 5000 and grows 3.5% every year. To the nearest tenth of a year, how long will it be until the population will reach 7300?
Answer:
Step-by-step explanation:
This is an exponential function. In order to find the answer to the question, we need to first determine what the equation is that models this information. The standard form for an exponential function is
[tex]y=a(b)^x[/tex] where a is the initial value and b is the growth/decay rate. If the starting population is 5000, then
a = 5000
If the population is growing, that means that it retains 100% of the initial population and is added to by another 3.5%. So in a sense the population grows 100% + 3.5% = 103.5% or, in decimal form, 1.035. So
b = 1.035
Our function is
[tex]y=5000(1.035)^x[/tex] where y is the ending population and x is the number of years it takes to get to that ending population. We want to know how long, x, it will be til the population reaches 7300, y.
[tex]7300=5000(1.035)^x[/tex] and we need to solve for x. The only way to do that is by using logs. I'll use natural logs for this.
Begin by dividing both sides by 5000 to get
[tex]1.46=1.035^x[/tex] and take the natural log of both sides:
[tex]ln(1.46)=ln(1.035)^x[/tex]
The power rule for natural logs is that we can now bring the exponent down in front of the ln to get:
[tex]ln(1.46)=xln(1.035)[/tex] To solve for x, we now divide both sides by ln(1.035):
[tex]\frac{ln(1.46)}{ln(1.035)}=x[/tex]
Do that division on your calculator and get that
x = 11.0 years.
That means that 11 years after the population was 5000 it will be expected to reach 7300 (as long as the growth rate remains 3.5%)
Zia was driving his truck on the superhighway. His speed was recorded by the motorway camera between 6:00 am to 8:30 am. He covered a distance of 250km during this time. Calculate his average speed between this time duration.
Answer:
Average speed = 100 km/h
Step-by-step explanation:
Given:
Total distance covered = 250 km
Total time taken = 8:30 am - 6:00 am = 2:30 hours = 2.5
Find:
Average speed.
Computation:
⇒ Average speed = Total distance covered / Total time taken
⇒ Average speed = 250 / 2.5
⇒ Average speed = 100 km/h
There are 870 boys and 800 girls in a school
The probability that a boy chosen at random studies Spanish is 2 thirds the probability that a girl chosen at random studies Spanish is three fifths. Work out the number of students in the school who study Spanish
Answer:
1060
Step-by-step explanation:
Given:
No. of boys = 870
No. of girls = 800
Probability that a boy chosen studies Spanish = [tex]\dfrac{2}{3}[/tex]
Probability that a girl chosen studies Spanish = [tex]\dfrac{3}{5}[/tex]
the number of boys in the school who study Spanish :
[tex]\dfrac{2}{3}\times 870=290\times 2=580[/tex]
the number of girls in the school who study Spanish :
[tex]\dfrac{3}{5}\times 800 \\=3\times 160\\\\=480[/tex]
Therefore, total number of students who study Spanish would be :
480+580=1060
Use completing the square to solve for X in the equation (c+7)(x-9)=25
Answer:
x = 1 ± √89
Step-by-step explanation:
Step 1: Expand
x² - 2x - 63 = 25
Step 2: Isolate xs
x² - 2x = 88
Step 3: Complete the square
x² - 2x + 1 = 88 + 1
(x - 1)² = 89
Step 3: Square root both sides
√(x - 1)² = ±√89
x - 1 = ±√89
Step 4: Isolate x
x = 1 ± √89
A. One player places 1 red, 5 green and 3 blue tiles in Bag A, and 6 red, 4 green, and 2 blue in Bag B. What is the probability that the second player draws 2 tiles of the same color?
Answer:
[tex]\frac{8}{27}[/tex] is the probability that a player draws out two tiles of the same color assuming they are drawing one tile from each bag.
Step-by-step explanation:
In each bag there are red, green, and blue tiles, meaning that no matter which color is pulled out first there is always some probability that the second tile will be the same color. So, we can set up three possible outcomes:
Red: The player pulls out a red tile first. This has a [tex]\frac{1}{9}[/tex] probability of happening. Then in order to succeed for the problem, the next tile also needs to be red which has a [tex]\frac{6}{12}[/tex] probability attached to it. [tex]\frac{1}{9}[/tex] × [tex]\frac{6}{12}[/tex]=[tex]\frac{1}{18}[/tex] probability of happening.
Green: There is a [tex]\frac{5}{9}[/tex] probability of the player pulling out a green tile first. In this case we want to calculate the probability of the second tile being green, which would be [tex]\frac{4}{12}[/tex]. [tex]\frac{5}{9}[/tex]×[tex]\frac{4}{12}[/tex]=[tex]\frac{5}{27}[/tex].
Blue: There is a [tex]\frac{3}{9}[/tex] probability of the first tile being blue in which case we are hoping for the second tile to be blue as well. The probability of the second tile being blue is [tex]\frac{2}{12}[/tex] on its own, and them both being blue is [tex]\frac{3}{9}[/tex]×[tex]\frac{2}{12}[/tex]=[tex]\frac{1}{18}[/tex]
Adding [tex]\frac{1}{18}[/tex]+[tex]\frac{1}{18}[/tex]+[tex]\frac{5}{27}[/tex] we get the answer [tex]\frac{8}{27}[/tex].
can someone please help me
Answer:
Step-by-step explanation:
correct one is b
yooo please help me w dis!! marking brainiest answer!!
Answer:
D.
[tex] {4}^{x + 7} [/tex]
Step-by-step explanation:
since it is an exponential graph shifted 7units to the left would be
[tex] {4}^{x + 7} [/tex]
Rewrite as a square or cube of a number: 1 11/25
Answer:
1.2^2
Step-by-step explanation:
1 11/25=36/25
square rout of 36/25=1.2
Answer:
1 11/25 is the same as 36/25. Since 36 and 25 are 6² and 5² respectively the answer is (6 / 5)².
Resolve into factors:2p(p-1)-p+1
Answer:
Do it your self
Step-by-step explanation:
HOW DO U COMBINE LIKE TERMS I LITERALLY FORGOT LMK DO NOT LOOK IT UP OR ELSE CAUSE IMMA USE GRAMMARLY FOR UR ANSWERS AND SEE IF U DIDNT LOOK IT UP THANK YOU SMMMMM
Answer:
you combine like terms by adding them up
Step-by-step explanation:
Find the product of (x − 3)2
Answer:
x^2-6x+9
Step-by-step explanation:
(x-3)^2
(x-3)(x-3)
x^2-3x-3x+9
x^2-6x+9
What is the first step when constructing an angle bisector using only a compass and a straightedge? A. Place the compass needle on one of the legs of the angle, and draw an arc intersecting the other leg. B. Mark a point outside the angle, and draw an arc centered at the point, intersecting the vertex of the angle. C. Mark a point outside the angle, and draw a ray in any direction from the point. D. Place the compass needle on the vertex of the angle, and draw an arc across both legs of the angle. E. Mark a point in the angle's interior, and draw an arc centered at the point, intersecting both legs of the angle.
Answer:
d
Step-by-step explanation:
To construct an angle bisector with a compass D. Place the compass needle on the vertex of the angle, and draw an arc across both legs of the angle.
What is an angle bisector ?An angle bisector is a line segment that divides angle into two equal parts.
According to the given statements to construct an angle bisector using a compass span any width of radius in a compass pace in onto the vertex of the angle cut the two arc on the two lines then without changing the radius draw two arcs where the previous arcs have intersected the two lines.
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Any answers plz and thank you
Answer:
x = 19
Step-by-step explanation:
Since CD = DE then Δ CDE is isosceles and the base angles are congruent.
∠ DCE = ∠ DEC = 38° , thus
∠ CDE = 180° - (2 × 38)° = 180° - 76° = 104°
The consecutive angles of a parallelogram are supplementary, thus
∠ BAE + ∠ CDE = 180, that is
4x + 104 = 180 ( subtract 104 from both sides )
4x = 76 ( divide both sides by 4 )
x = 19
Which of the following represents the factorization of the polynomial below x^2+13x+42
Answer:
(x+7)(x+6)
Step-by-step explanation:
x²+13x+42
x²+6x+7x+42
x(x+6)+7(x+6)
(x+6)(x+7)
Answer:
a) (x+7) (x+6)
Step-by-step explanation:
That is the correct answer because you get it when you factor the current equation.
Hope it helps
Is 1,2,3,4 a geometric sequence ?
Sammi has $125.75 in her savings account. She deposits $25.50 into the account each month for the next 6 months. How much is in Sammi's account at the end of the 6 months?
Hi,
Sammy has $125.75 in her savings account. She deposits $25.50 into the account each month for the next 6 months.
How much is in Sammy's account at the end of the 6 months?
25.50 × 6 = $153
In 6 months she deposits $153 into the account.
So :
125.75 + 153 = $278.75
At the end of the 6 months Sammy has $278.75 in her savings account.
where are the ceros located in f(x)=x^4-3x^3-2x^2+3x-5
Answer:
Zeroes: (-1.45, 0) and (3.45, 0)
Step-by-step explanation:
I plugged the equation into a graphing calc and located the x-values when graphing.