Jacob's family takes the train to the city. The sign below shows information about the cost of train tickets. Jacob's family buys 2 adult tickets and 3 child tickets.
How much does it cost Jacob's family to take the train into the city?
Train Fare One-Way Adult $7 Child $6
It costs Jacob's family $
32
to take the train into the city.
You got it!
Jacob’s father pays for the tickets with $5 bills. He receives $3 in change. How many $5 bills does Jacob’s father use to pay for the tickets?
Answer:
it cost Jacob family $32 and he used 7 $5 bill to pay
Step-by-step explanation:
2 × 7 = 14
3 × 6 = 18
18 + 14 = 32
5x - 32 = 3
5x = 32 + 3
5x = 35
x = 35 ÷ 5
x = 7
find the centre and radius of the following Cycles 9 x square + 9 y square +27 x + 12 y + 19 equals 0
Answer:
Radius: [tex]r =\frac{\sqrt {21}}{6}[/tex]
[tex]Center = (-\frac{3}{2}, -\frac{2}{3})[/tex]
Step-by-step explanation:
Given
[tex]9x^2 + 9y^2 + 27x + 12y + 19 = 0[/tex]
Solving (a): The radius of the circle
First, we express the equation as:
[tex](x - h)^2 + (y - k)^2 = r^2[/tex]
Where
[tex]r = radius[/tex]
[tex](h,k) =center[/tex]
So, we have:
[tex]9x^2 + 9y^2 + 27x + 12y + 19 = 0[/tex]
Divide through by 9
[tex]x^2 + y^2 + 3x + \frac{12}{9}y + \frac{19}{9} = 0[/tex]
Rewrite as:
[tex]x^2 + 3x + y^2+ \frac{12}{9}y =- \frac{19}{9}[/tex]
Group the expression into 2
[tex][x^2 + 3x] + [y^2+ \frac{12}{9}y] =- \frac{19}{9}[/tex]
[tex][x^2 + 3x] + [y^2+ \frac{4}{3}y] =- \frac{19}{9}[/tex]
Next, we complete the square on each group.
For [tex][x^2 + 3x][/tex]
1: Divide the [tex]coefficient\ of\ x\ by\ 2[/tex]
2: Take the [tex]square\ of\ the\ division[/tex]
3: Add this [tex]square\ to\ both\ sides\ of\ the\ equation.[/tex]
So, we have:
[tex][x^2 + 3x] + [y^2+ \frac{4}{3}y] =- \frac{19}{9}[/tex]
[tex][x^2 + 3x + (\frac{3}{2})^2] + [y^2+ \frac{4}{3}y] =- \frac{19}{9}+ (\frac{3}{2})^2[/tex]
Factorize
[tex][x + \frac{3}{2}]^2+ [y^2+ \frac{4}{3}y] =- \frac{19}{9}+ (\frac{3}{2})^2[/tex]
Apply the same to y
[tex][x + \frac{3}{2}]^2+ [y^2+ \frac{4}{3}y +(\frac{4}{6})^2 ] =- \frac{19}{9}+ (\frac{3}{2})^2 +(\frac{4}{6})^2[/tex]
[tex][x + \frac{3}{2}]^2+ [y +\frac{4}{6}]^2 =- \frac{19}{9}+ (\frac{3}{2})^2 +(\frac{4}{6})^2[/tex]
[tex][x + \frac{3}{2}]^2+ [y +\frac{4}{6}]^2 =- \frac{19}{9}+ \frac{9}{4} +\frac{16}{36}[/tex]
Add the fractions
[tex][x + \frac{3}{2}]^2+ [y +\frac{4}{6}]^2 =\frac{-19 * 4 + 9 * 9 + 16 * 1}{36}[/tex]
[tex][x + \frac{3}{2}]^2+ [y +\frac{4}{6}]^2 =\frac{21}{36}[/tex]
[tex][x + \frac{3}{2}]^2+ [y +\frac{4}{6}]^2 =\frac{7}{12}[/tex]
[tex][x + \frac{3}{2}]^2+ [y +\frac{2}{3}]^2 =\frac{7}{12}[/tex]
Recall that:
[tex](x - h)^2 + (y - k)^2 = r^2[/tex]
By comparison:
[tex]r^2 =\frac{7}{12}[/tex]
Take square roots of both sides
[tex]r =\sqrt{\frac{7}{12}}[/tex]
Split
[tex]r =\frac{\sqrt 7}{\sqrt 12}[/tex]
Rationalize
[tex]r =\frac{\sqrt 7*\sqrt 12}{\sqrt 12*\sqrt 12}[/tex]
[tex]r =\frac{\sqrt {84}}{12}[/tex]
[tex]r =\frac{\sqrt {4*21}}{12}[/tex]
[tex]r =\frac{2\sqrt {21}}{12}[/tex]
[tex]r =\frac{\sqrt {21}}{6}[/tex]
Solving (b): The center
Recall that:
[tex](x - h)^2 + (y - k)^2 = r^2[/tex]
Where
[tex]r = radius[/tex]
[tex](h,k) =center[/tex]
From:
[tex][x + \frac{3}{2}]^2+ [y +\frac{2}{3}]^2 =\frac{7}{12}[/tex]
[tex]-h = \frac{3}{2}[/tex] and [tex]-k = \frac{2}{3}[/tex]
Solve for h and k
[tex]h = -\frac{3}{2}[/tex] and [tex]k = -\frac{2}{3}[/tex]
Hence, the center is:
[tex]Center = (-\frac{3}{2}, -\frac{2}{3})[/tex]
1. What is the slope of the line
given by the equation
y = 2x +7
Answer:
2
Step-by-step explanation:
Pls help I’ll pay u 30$ if it’s right
Answer:
8 5 7 1 3 2 4 6
Step-by-step explanation:
my Cashsap kinqcollin
The data reflects the number of days since a plant has
been transplanted (x), paired with the plant height (y).
How can the y-intercept of the line be interpreted?
y
O Every 0.07 days the plant grows 0.81 inches.
O Every 0.81 days the plant grows 0.07 inches.
O Initially, the plant had a height of 0.07 inches.
O Initially, the plant had a height of 0.81 inches.
14
y = 0.81.x + 0.07
12 +
10
8
Growth (inches)
2
4
G
8
10
12 14
16
18
20
Number of Days
Answer:
I think its b. Every 0.81 days the plant grows 0.07 inches.
Step-by-step explanation:
i took the same test on egd.
Answer:
c. Initially, the plant had a height of 0.07 inches.
Step-by-step explanation:
EDGE 2023
please help mark brainliest ( no attachments please)
Answer:
I think 3 hours
Answer:
2/6 in 2 hours
Step-by-step explanation:
What is the total area of the figure shown?
A)80ft2
B)74ft2
C)56ft2
D)42ft2
Answer:
B 74
Step-by-step explanation:
recipe calls for 1/3 of a cup of milk for 10 cookies how many cups of milk are needed to make 90 cookies
Answer:
just multiply by 9 :)
Step-by-step explanation:
A country's population in 1990 was 156 million. In 1996 it was 162 million. Estimate the population in 2016 using the exponential growth formula. Round your answer to the nearest million. P = Aekt Enter the correct answer.
Answer:
184
Step-by-step explanation:
4.
A restaurant offers seven kinds of main
courses, nine types of drinks, and four types of
desserts. How many different meals
consisting of a main course, a drink, and a
dessert does the restaurant offer? |
Answer:
252
Step-by-step explanation:
Types of main courses available = 9
Types of drinks offered = 7
Types of deserts = 4
Number of different meals consisting of a main course, a drink and a desert offered
Using the combination rule :
9C1 * 7C1 * 4C1
nCr = n! ÷ (n-r)!r!
So using calculator we obtain :
9 * 7 * 4 = 252
PLS HELP!
2x + 4 > 8
2x 4 =- 8
2 x + 4 = 8 2x+4=8 2x+4=8. Subtract 4 from both sides. Simplify 8 − 4 8-4 8−4 to 4. Divide both sides by 2.
helppppppppppppppppp
Answer: x > 4
x > 4 would look like that on the graph. If it was x is greater than or equal to 4, then the circle would be completely filled in. Hope this helped!
PLEASE HELP , DONT SKIP !
NO LINKS OR FILES.
Step-by-step explanation:
You have to click the number of Xs for each kilometer travelled. For example, there are 2 "3 km" answers, so under the 3 column, you click 2 Xs.
Mrs. Wilson Shared 63 stickers equally among 4 girls and 5 boys.How many stickers were in each share?
Answer:
7 stickers for each kid
Step-by-step explanation:
HELP FAST! TRUE OR FALSE , RIGHT ANSWERS ONLY
Answer:
I think it could be true, but maybe its false
Step-by-step explanation:
help me ...........................
Answer:
They will be able to.
Step-by-step explanation:
You first want to make sure the first three families have enough to eat.
[tex]6\frac{1}{2} - 2\frac{7}{8} = 3\frac{5}{8}[/tex]
For further explanation look at the first image.
[tex]3\frac{5}{8} > 2\frac{7}{8}[/tex]
Just to make sure
[tex]3\frac{5}{8} - 2\frac{7}{8}=\frac{3}{4}[/tex]
For further explanation look at the second image.
The rest of the images show a model solution.
ZABD and ZDBC are supplementary angles.
What is the measure of x?
X =
= [?]
D
AK
X/78°
B
-С
Angles are not drawn to scale.
Enter
x=102°
Answer:
x+78=180 supplementary angle
x=180-78=102
Which of the following is the solution to ?
Answer:
Could you add more info?
Step-by-step explanation:
Find the distance between the two points rounding to the nearest tenth (if
necessary).
(3,6) and (1,8)
Given that the quadrilateral shown is a parallelogram, which statements are correct?
A)
mZA = 950
B)
mZB = 65
C)
mZC = 959
D)
AD = 8
E)
DC = 12
Answer: I know that DC is 12 and AD=8 the others i dont know.
Step-by-step explanation:
This is because opposite sides of a parallelogram are parallel and congruent. therefore AB and DC are equal/congruent.
What is the height of the ball after 5 seconds in feet?
Answer:32
Step-by-step explanation:
i think the answer will be 32 feet
I will mark you brainlist!
How many triangles and rectangles/squares do you need to solve for?
Answer:
8 triangles
Step-by-step explanation:
1 Triangle = 2 needed to be solve. 4 triangle × 2 =8.
A rectangular prism has a length of 5 centimeters, a height of 6 centimeters, and a width of 9 centimeters. What is its volume, in cubic centimeters?
Answer:
270 cubic centimeters
Step-by-step explanation:
To find the volume you multiply the lenght times width times hight. So 5x6 is 30. 30x9=270
What is the unit multiplier for days and weeks?
Answer:
days 7
weeks 4
Step-by-step explanation:
there are 7DAYS Iin a week
there are 4WEEKS in a month
*PLEASE HELP WITH SLOVING THESE QUESTIONS IT IS DUE SOON WORTH 100 POINTS*
1. If x = -4: Then what is the answer to 8x + 4x?
2. If x = 3: Then what is 9x - 18?
3.If x = 8: Then what is -2x + 10?
4. If x = -3: Then what is 5x + 11?
Answer:
1 = -48
2 = 9
3 = -6
4 = - 4
Step-by-step explanation:
Hello there!
For each problem we are going to want to plug in the value of x (which is given) and find the total value of the expression
For #1
8(-4) + 4(-4)
8 * - 4 = -32
4*-4=-16
-32+(-16)=-48
So the answer to #1 is -48
For #2
9(3)-18
9*3=27
27-18=9
so the answer to #2 is 9
For #3
-2(8)+10
-2*8=-16
-16+10=-6
so the answer to #3 is -6
For #4
5(-3)+11
5*-3=-15
-15+11=-4
So the answer to #4 is -4
Combine the like terms to create an equivalent expression.
and please only use the signs what I gave you in the screen shot thank you
Answer: 6k+19
Step-by-step explanation:
Like terms are terms with the same variables and powers. Since k is the variable in 7k and k, we have to do 7k-k=6k. Then because 19 isn’t a like term to 6k we just leave it. So the answer is 6k+19.
Hope this helps :)
Four boxes hold 36
apples. How many
apples are in 9 boxes?
Answer:
86 apples
Step-by-step explanation:
Hope this helps and have a great day!!!!
the nswer is 81 36/4=9
9x9=81
No Links Please!
In the xy-plane, the midpoint M of segment AB has coordinates (-1, 3).
And point A has coordinates (-3,0). What is the x-coordinate of point B?
O -1
O 1
O 2
O 3
A small town has six police cars. When a call comes in, the dispatcher may dispatch no cars, one car, two cars, three cars, four cars, five cars, or all six cars. If a call is received, how many ways may the dispatcher respond?
Answer:
7 Ways
Step-by-step explanation:
Have a Nice Day!
Answer:
64 ways
Step-by-step explanation:
Basic possibility table/using math, and calculating
In ΔVWX, x = 78 cm, w = 35 cm and ∠W=48°. Find all possible values of ∠X, to the nearest degree.
Answer:
no possible answers
Step-by-step explanation:
V
W
X
w = 35
x = 78
48°
?°
\frac{\sin A}{a}=\frac{\sin B}{b}
a
sinA
=
b
sinB
From the reference sheet (reciprocal version).
\frac{\sin X}{78}=\frac{\sin 48}{35}
78
sinX
=
35
sin48
Plug in values.
\sin X=\frac{78\sin 48}{35}\approx 1.6561513
sinX=
35
78sin48
≈1.6561513
Evaluate.
X=\sin^{-1}(1.6561513)= \text{ERROR}
X=sin
−1
(1.6561513)=ERROR
Sine cannot be greater than 1.
\text{No Possible Triangles}
No Possible Triangles
\{\}
{}
Answer:
no Possible Triangles
Step-by-step explanation: