868,000,000 in scientific notation
Answer:
8.68 × 10^8
Step-by-step explanation:
--------------------
Answer:
8.68x10^8
Step-by-step explanation:
move 8 times to the left
Mr. Ramirez purchased 20 concert tickets for a total of $225. The concert tickets cost $15 for adults and $10 for children under the age of 12.
Part A: Which system of equations represents the given scenario? Let a represent adults and c represent children.
A.10a + 15c = 20
a + c = 225
B.10a + 15c = 225
a + c = 20
C.15a + 10c = 225
a + c = 20
D.15a + 10c = 20
a + c = 225
Part B: What is the solution to the system of equations?
A.5 adults and 15 children
B.10 adults and 10 children
C.15 adults and 5 children
D.9 adults and 9 children
Answer:
Part A) C
Part B) A
Step-by-step explanation:
For part B I solved for a (adults) which then I got 5
I will attach an image of my work for part b
sorry for the poor quality picture
The system of equations that represents the given scenario is a + c = 20, 15a + 10c = 225 and the solution to the system of equations is a = 5 (adults) and c = 15 (children).
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let a represent the number of adult tickets and c represent the number of children's tickets.
The total number of tickets purchased is 20, so we have:
a + c = 20
The cost of an adult ticket is $15 and the cost of a children's ticket is $10. The total cost of the tickets is $225, so we have:
15a + 10c = 225
Therefore, the system of equations that represents the given scenario is:
a + c = 20
15a + 10c = 225
Now let us solve a and c values by using substitution method.
a=20-c
Now substitute in equation 15a + 10c = 225
15(20-c)+ 10c = 225
300 - 15c + 10c = 225
-5c = -75
c = 15
Substituting c = 15 into the first equation, we get:
a + 15 = 20
a = 5
Therefore, the system of equations that represents the given scenario is
a + c = 20, 15a + 10c = 225 and the solution to the system of equations is a = 5 (adults) and c = 15 (children).
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ2
Given p(x) = 2x³ + 7x² + 2x - 3 and p(1/2) = 0, then the factor of p(x) is
Options :
A(2x + 1)
B(2x - 1)
C(x - 2)
D(x + 2)
no spam and kindly explain your answer!
A football coach compared the yards per game of two of his running backs over the course of 10 games.
Based on the data represented in the box plots, which football player had greater success during the 10 games?
Nasir was more successful because he had the greatest number of yards in one game.
Aaron was more successful because he had a greater total spread.
Nasir was more successful because he had the greater measure of center.
Aaron was more successful because he had an outlier.
Answer: C. Nasir was more successful because he had the greater measure of center.
Step-by-step explanation: Just did the assignment in Edugenuity
Answer:
Nasir was more successful because he had the greater measure of center.
Step-by-step explanation:
PLEASE HELP. urgent. What is the answer? HELP please!
From the figure, we can notice that : Surface area of the pyramid is equal to Sum of the area of the square and Sum of the areas of 4 triangles.
We know that : Area of a square is given by : Side x Side
Given : Side of the square = 3 cm
⇒ Area of the square = 3 x 3 = 9 cm²
We know that : Area of the triangle = 1/2 x Base x Height
From the figure, We can notice that, Base of each triangle = 3 cm and height of the each triangle = 3 cm
⇒ Area of one triangle = 1/2 × 3 × 3 = 4.5 cm²
Surface area of the pyramid = Surface of the square + Surface area of the 4 triangles
⇒ Surface area of the pyramid = 9 cm² + 4(4.5) cm²
⇒ Surface area of the pyramid = 9 cm² + 18 cm² = 27 cm²
Answer : Surface area of the pyramid = 27 cm²
73 plus what equals 180
Answer:
Your answer would 107.
Step-by-step explanation:
180 minus 73 equals 107.
:)
Find the value of x and show all steps please
Answer:
[tex]x=3[/tex]
Step-by-step explanation:
[tex](x)(4x)=(4)(9)[/tex][tex]\frac{4x^2}{4} =\frac{36}{4}[/tex][tex]\sqrt{x^2}=\sqrt{9}[/tex][tex]x=3[/tex]---------------------
hope it helps...
[tex] \implies \sf{(x)(4x) = (4) \: (9)}[/tex]
[tex] \implies \sf{ \frac{4 {x}^{2} }{4} } = \frac{36}{4} [/tex]
[tex] \implies \sf{ \sqrt{ {x}^{2} } = \sqrt{9} }[/tex]
[tex] \sf \boxed {x = 3}[/tex]
________________________Thank you
Hope it helps uh :)
What is the intermediate step in the form (x + a)2 = b as a result of completing the
square for the following equation?
X2 + 23x – 19 = 9x - 4
Answer:
(x + 7)^2 = 64
Step-by-step explanation:
x^2 + 23x – 19 = 9x - 4
x^2 + 23x - 9x = -4 + 19
x^2 + 14x = 15 = 0
Completing the square:
(x + 14/2)^2 - (14/2)^2 = 15
(x + 7)^2 - 49 = 15
(x + 7)^2 = 64
Find the volume of the darkly shaded region
Answer:
80
Step-by-step explanation:
Three coins are tossed at once. What is the probability of two heads and one tail?
Answer:
Fraction - 3/8
Decimal - 0.375
Percentage - 37.5%
Step-by-step explanation:
The probability of getting two heads and one tail on tossing three coins at once is equal to 3/8.
help is appreciated.
:) will give brainliest
In the diagram shown overline AD and intersect at point E. overline AB and overline CD are parallel . Given the segment length shown in the picture, which of the following is the length overline AE
1) 11.25
2) 10.8
3) 10
4) 7.5
Answer:
11.25
Step-by-step explanation:
Since AB and CD are parallel, ∠D is congruent to ∠A and ∠C is congruent to ∠B. Therefore the two triangles are similar by the AA postulate. Now, the corresponding sides are in proportion
Since AE ↔ DE and AB ↔ CD
So, AE/CD = AB/CD
AE/5 = 9/4
AE = 9(5)/4
= 45/4 = 11.25
PLS HELP I WILL GIVE BRAINLIEST
Answer:
C
Step-by-step explanation:
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Answer: The answer Is C
Step-by-step explanation:
PLS GIVE ME BRAINLIEST
5. An extension ladder is extended 32 feet to rest
against a wall. The bottom of the ladder is 6 feet
from the base of the wall, as shown.
32 ft.
Which of the following is closest to the distance
from the top of the ladder to the base of the wall?
Answer:
Option A
Step-by-step explanation:
As shown in the figure ABC,
AC = Length of the ladder
BC = Distance between the base of the ladder and the wall
AB = Distance from the top of the ladder and the base of the wall
By applying Pythagoras theorem in the given right triangle ΔABC,
AC² = AB² + BC²
(32)² = h² + (6.5)²
h² = 1024 - 42.25
h = √(981.75)
h = 31.33
h ≈ 31 feet
Therefore, Option A will be the correct option.
Help me plsssssss????
Answer:
40 :)
Step-by-step explanation:
help!!! Find the lateral surface area of
the following square pyramid:
Given:
A square base pyramid with base length 6 cm and the slant height is 4 cm.
To find:
The lateral surface area of the given square pyramid.
Solution:
The lateral surface area of the given square pyramid is equal to the areas of 4 congruent triangles with base 6 cm and height 4 cm.
Area of a triangle is:
[tex]Area=\dfrac{1}{2}\times base\times height[/tex]
So, the area of one triangle or one side of the given pyramid is:
[tex]A_1=\dfrac{1}{2}\times 6\times 4[/tex]
[tex]A_1=\dfrac{24}{2}[/tex]
[tex]A_1=12[/tex]
Now, the lateral surface area of the given square pyramid is 4 times the area of one triangle.
[tex]LA=4A_1[/tex]
[tex]LA=4(12)[/tex]
[tex]LA=48[/tex]
Therefore, the lateral surface area of the given square pyramid is 48 cm².
Answer: 48
Step-by-step explanation: 4*6/2, and the multiply by 4 for all of the sides
Simplify the expression 2√6 -5√54
Answer:
- 13[tex]\sqrt{6}[/tex]
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
Simplifying [tex]\sqrt{54}[/tex]
[tex]\sqrt{54}[/tex]
= [tex]\sqrt{9(6)}[/tex]
= [tex]\sqrt{9}[/tex] × [tex]\sqrt{6}[/tex]
= 3[tex]\sqrt{6}[/tex]
Then
2[tex]\sqrt{6}[/tex] - 5[tex]\sqrt{54}[/tex]
= 2[tex]\sqrt{6}[/tex] - 5 (3[tex]\sqrt{6}[/tex] )
= 2[tex]\sqrt{6}[/tex] - 15[tex]\sqrt{6}[/tex]
= - 13[tex]\sqrt{6}[/tex]
Un árbol mide 10m de altura proyecta una sombra de 15m,¿ Cual es la altura de un faro que proyecta una sombra de 30m a la misma hora?
Find the missing exponent. I really need help with this question
1/169=(1/13)?
? =
How can1/5 x-2=1/3x+8 be set up as a system of equations
Answer:
x=-2
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable
4 students took the spelling quiz. The mean of their quiz scores is 15. A fifth student took the quiz and scored 10. What is the new mean of the five scores?
Answer:
14
Step-by-step explanation:
Graph y = -1/4 x + 6 in slope intercept form
Answer:
here are the coordinates to use to graph.
(0,6)
(4,5)
Step-by-step explanation:
put a dot on those coordinates, then draw a line to make the two points connect.
Answer:
I have a graphing calculator so i used that.
Step-by-step explanation:
Included is the graph (on 10 x 10 axis) and the table
hope this helps,
<3 Austen and Addie
What is the value of x in this equation?
-6x=72
Answer:
Step-by-step explanation:
-12
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{-6x = 72}\\\\\huge\text{\underline{\underline {DIVIDE -6 to BOTH SIDES}}}\\\\\large\dfrac{-6\mathsf{x}}{-6} = \dfrac{72}{-6}}\\\\\large\textsf{CANCEL out: }\large\dfrac{6}{6}\large\text{ because that gives you 1}\\\\\large\text{KEEP: }\large\dfrac{72}{-6}\large\text{ because that gives you the answer for x}\\\\\large\text{NEW EQUATION: x = }\large\dfrac{72}{-6}\\\\\large\text{SIMPLIFY ABOVE}\\\\\boxed{\boxed{\huge\textsf{Therefore, your answer is: x = -12}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
!
A monkey eats three
bananas a day. On the
way home it was hungry
and ate 5 extra bananas.
If we know the monkey
ate 60 bananas so far,
how many days have
there been so far?
Equitions
Answer:
60(3x5)
Step-by-step explanation:
Because if the monkey eats 60 bananas so far and he had 3 and ate 5 more that's how you get your equation
Answer:
It has been 20 days
Step-by-step explanation:
If the monkey eat three Bananas a day if not including the five he ate today it would be 20 days
60 ÷ 3 = 20
What is the weight of a 22 kg object on the surface of the moon (g = 1.6 m/s2)?
Weight is the gravitational force by which a massive object attracts on another object .
So,
f = m × g
where,
f = force / weight m = mass ( 22 kg )g = acc due to gravity ( 1.6 m/s² )=》
[tex]f = 22 \times 1.6[/tex]
=》
[tex]35.2 \: \: newtons[/tex]
Answer:
[tex]35.2 \: is \: your \: answer[/tex]
I hope it helps
have a nice day
#Captainpower
The measures of interior angle of a convex pentagon are in ratio 1:2:3:4:5. Find the measures of each angle
Answer:
The angles have measurements 36, 72, 108, 144, and 180.
Step-by-step explanation:
Pentagon has 5 sides and 5 angles.
The amount of triangles formed by choosing one vertex and drawing from that vertex to every nonadjacent vertex is 3.
3(180)=540 which is the sum of the angles in a pentagon.
So since the ratio is 1:2:3:4:5, that means the angles are 1x,2x,3x,4x, and 5x.
We have the equation 1x+2x+3x+4x+5x=540 to solve.
15x=540
Divide 15 on both sides:
x=540/15
x=36
1x=36
2x=72
3x=108
4x=144
5x=180
The angles have measurements 36, 72, 108, 144, and 180.
can someone help me with this first one to answer gets brainllest and 20 points.
Answer:
Sorry i don't get this at all. what grade is this ?!!?!?!?
Step-by-step explanation:
Find the measure of A. No links!!!!
Answer:
A equals 105 degrees, option 2
Step-by-step explanation:
7x + 5x gives 180. 7x and 5x lie on a line so they form a linear pair. Their sum equals 180 degrees:-
7x + 5x = 180
12x = 180
x = [tex]\frac{180}{12}[/tex]
x = 15
Since x is 15, we can find the lengths of 7x and 5x.
7x would be 7 x 15 = 105
5x would be 5 x 15 = 75
'A' is equal to 7x since they are vertically opposite angles.
Since 7x is 105 degrees, then A would be 105 degrees as well.
Please answer I will give brainliest
What is the slope of a line that is perpendicular to the line y = 8x + 5?
−8
8
1/8
8