Answer:
She is 40 years of age
Step-by-step explanation:
Let Joaquin age be j
Let Marjorie age be m
From the first part of the question;
j = 4 + m/2
Secondly;
m =3j - 32
Multiply equation i through by 2
2j = 8 + m
m = 2j-8
Equate both m
2j-8 = 3j-32
3j-2j = 32 -8
j = 24
m = 2j-8
m = 2(24)-8
m = 48-8
m = 40
(0,0) (-4,-4) (2,-4) graph the image of this triangle after a dilation with a scale factor of 2 centered at the origin
Answer:
The image coordinates are:
A'(0, 0)
B'(-8, -8)
C'(4, -8)
The graph of the image coordinates attached below.
The image triangle A'B'C' is illustrated in green color.
Step-by-step explanation:
Let the points of a triangle be
A(0,0) B(-4,-4) C(2,-4)We need to determine the graph of the image of this triangle after a dilation with a scale factor of 2 centered at the origin.
As scale factor > 0, thus the image will be enlarged.A dilation by a scale factor of 2 centered at the origin means the coordinates of the image can be obtained by multiplying the original coordinates with 2.
Next, the rule of dilation by a scale factor of 2 is given by
Dilation: (x, y) → (2x, 2y), centered at (0, 0)
P(x, y) → P' (2x, 2y)
A(0, 0) → A' (2(0), 2(0)) → A'(0, 0)
B(-4, -4) → B' (2(-4), 2(-4)) → B'(-8, -8)
C(2,-4) → C' (2(2), 2(-4)) → C'(4, -8)
Therefore, the image coordinates are:
A'(0, 0)B'(-8, -8)C'(4, -8)The graph of the image coordinates attached below.
The image triangle A'B'C' is illustrated in green color.
The lines represented by the equations y = 1x – 5 and 3y + x = -15 are
O
parallel
Submit Answer
the same line
neither parallel nor perpendicular
perpendicular
Answer:
Neither parallel nor perpendicular
Step-by-step explanation:
The lines represented by the equations y = 1x – 5 and 3y + x = -15 are .....
Solve for y in 3y + x = -15.
[tex]3y + x = -15 \\ \frac{ - x = - x}{3y = - x - 15} \\ \\ \frac{3y = - x - 15}{3 \: \: = \: \: \: \: \: \: \: \: \: 3} \\ y = - \frac{1}{3}x - 5[/tex]
[tex]y = - \frac{1}{3}x - 5 \: and \: y = 1x - 5[/tex]
HURRY!!!! A summer camp is providing breakfast for 350 children that includes a 6 ounce serving of sausage per student. The camp can only purchase sausage in whole 1 pound packages. Note: 1 pound = 16 ounces? PLEASE I NEED HELP
Answer:
132 whole 1 pound packages.
Step-by-step explanation:
6 ounces times 350* equals 2100 ounces, so the summer cap needs 2100 ounces of sausage to feed all 350 children. We already know there are 16 ounces per pound. 16 x 131 equals 2096. Remember, it takes 2100 ounces to feed all 350 children. The summer camp will have to buy 132 packages to exceed 2100 without having additional whole packages.
*this number represents the amount of children
The camp needs to buy 132 packets of sausage to serve 350 students.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given, A summer camp is providing breakfast for 350 children that include a 6-ounce serving of sausage per student.
So, The total amount of sausages is,
= 6×350 ounces.
= 2100 ounces.
Also given, sausages come in 1 pound pack.
Therefore, The number of packets required is,
= (2100/16).
= 131.25 but they have to buy 132 packets.
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An engineer designed a new bridge and drew the scale drawing shown below. 6 Inches If the engineer used the scale 3 inch = 40 feet, how long is the actual bridge the engineer designed?
Answer:
The bridge is 80 feet long
Step-by-step explanation:
We will use the ratio method to solve the question
∵ The engineer used the scale 3 inch = 40 feet
∴ The scale drawing is ⇒ 3 inche : 40 feet
∵ The drawing length of the bridge is 6 inches
→ By using the ratio method
→ inch : feet
→ 3 : 40
→ 6 : x
→ By using cross multiplication
∵ 3 × x = 6 × 40
∴ 3x = 240
→ Divide both sides by 3
∴ x = 80
∵ x represents the actual length of the bridge
∴ The bridge is 80 feet long
Write an equivalent expression for 7 + 5 k minus 2 minus 3 k + n. Which statements are true about the steps for writing the equivalent expression? Check all that apply.
1. Combine the constant terms by adding 7 and –2.
2.The equivalent expression is 9 + 3 k.
3. n, 5 k, and negative 3 k are like variable terms.
4. Combine the like variable terms by adding the coefficients.
5. 5 k and negative 3 k are like variable terms.
6.The constants 7 and –2 are like terms.
7. The equivalent expression is 5 + 2 k + n.
8. Combine the constant terms by adding 7 and 2.
Answer:
1. Combine the constant terms by adding 7 and –2.
4. Combine the like variable terms by adding the coefficients
5. 5 k and negative 3 k are like variable terms
6.The constants 7 and –2 are like terms.
7. The equivalent expression is 5 + 2 k + n.
Circle each relation below that is a function.
fast plz
Answer:
1, 2, 5 and 6 are functions
Step-by-step explanation:
u cant have a repeating x in a function
Write the equation in Standard Form.
y=3/2x - 6
Answer:
3x - 2y = 12
Step-by-step explanation:
3x-2y=12 is the standard form of equation y=3/2x - 6
What is slope intercept form of line?The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The equation is y=3/2x - 6
y equal to three by two times of x minus six
y=3/2x - 6
LCM of 1 and 2 is 2
y=(3x-12)/2
Now apply cross multiplication
2y=3x-12
Two times of y equal to three times of x minus twelve
Now take 2y to RHS side
3x-2y-12=0
3x-2y=12
Hence 3x-2y=12 is the standard Form of equation y=3/2x - 6.
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please help meeeeeeeeee
Answer:
The sum of the interior angle measures of the polygon is 540°
Step-by-step explanation:
The formula of the sum of the measures of the interior angles of a polygon is
∑m = (n - 2) × 180°, where n is the number of the sides of the polygon
In the given figure
∵ The polygon has 5 sides
∴ n = 5
→ Use the formula above to find the sum of the interior angle measures of it
∵ ∑m = (5 - 2) × 180°
∴ ∑m = 3 × 180°
∴ ∑m = 540°
∴ The sum of the interior angle measures of the polygon is 540°
Please help me I dont know how this works.
Answer:
Step-by-step explanation:
Average =
Sum
Count
=
17.3
3
= 5.7666666666667
helppppppppppppppppppppppppp
Answer:
$2
$18
Step-by-step explanation:
lines a b c and d intersect
Answer:
Line D
Step-by-step explanation:
They're parallel which means they have the same slope and never intersect
In a telephone poll, 14 people said they like shopping and 22 people said they do not like shopping. What is the ratio of the number of people who like shopping to the number of people who do not like shopping?
Answer:
I think it's 7:11
Step-by-step explanation:
14:22
simply it will be 7:11
What is the Solution of the System Of equations Shown on the Graph Below
(0,-1)
(0,1)
(1,0)
(-1,0)
The value of a new car decreases by about 15% in the first year. How much will a car be worth after one year if its initial value was $1,500? If you get stuck, consider using diagrams or a table to organize your work.
Answer:
After one year, the car will be worth $1,275.
Step-by-step explanation:
We know that a new car value decreases by 15% every year. So, we first need to find 15% of $1,500.
1,500 x 0.15 = $225.
Now, me must subtract $225 from the initial value, or $1,500.
1,500 - 225 = $1,275
Therefore, after one year, the car will be worth $1,275.
Hope this helps! :D
Nancy has to mark the point with the coordinates (-2, 4) on the coordinate plane. Which point in the graph is at (-2, 4)? In which quadrant is the point located?
Answer:
Point A at Quadrant 2
Step-by-step explanation:
For point (-2, 4) the -2 is the x-axis and the 4 is the y-axis. All points at -2 on the x-axis are A, J, and K. All points at 4 on the y-axis are A, B, and C. Since point A is satisfies both of the places on the x-axis and the y-axis, your answer is point A.
[tex]Quadrant\begin{array}{cccccc}&&y&\\&&|&\\&2&|&1\\-&-&+&-&-&x\\&3&|&4\\&&|\end{array}Graph[/tex]
The picture above shows the quadrants. Since A is in the top left, it's quadrant 2. (The Quadrant Graph took a while so plz rate 5 stars.) Thx!
Kialani sells orchids and lily plants at the farmers market each plant sells for a different price
8 orchids and 12 lily plants sell for $362
12 orchids and 8 lily plants sell for $388
How much does Kialani charge for the lily plants
Answer:
15.50$
Iready answer...
Answer:
$15.50
Step-by-step explanation:
pls answer quick !!!
Answer:
A = The greatest common factor would be 9.
B: 45+63= 9*(5+7)
Step-by-step explanation:
Answer:
b is 45+63=9(5+7)
Step-by-step explanation:
Once you know the GCF, you just need to find what the GCF (9 in this case), times what will get you 45 and 63. So we already know that 9 will be on the outside of the parentheses since it's what we're multiplying by. 9 times 5 is 45, so for the first number in the parentheses you'll put 5, and for the second, 9 times 7 is 63, so the second number in the parentheses is 7. You can check by solving it. 9(5+7). Use the distributive property and first you will do 9 times 5, which is 45, then 9 times 7 which is 63, so you'll get 45+63, which is correct.
answer please?? 50+40+10=
(V+3)^2 - 44 = 0, where v is a real number
Answer:
v = 2 √ 11 − 3 , − 2 √ 11 − 3Step-by-step explanation:
Take the root of both sides and solve.
Exact Form: v = 2 √ 11 − 3 , − 2 √ 11 − 3
Hope this helps!! Please consider marking brainliest! Have a good one!!
Which statement about 2x + 1 is true?
A. 2x + 1 is a sum.
O B. 1 is the coefficient of x.
O C. There are two variables in 2x + 1.
D. 2x+ 1 is a product.
Answer: A
Step-by-step explanation:
Statement A is right because 2x is being added to 1 which makes it a sum statement.
Statement B is wrong because 1 is the coefficient in this expression, 2 is the coefficient of x.
Statement C is wrong because the only variable in the expression is x .
Statement D is wrong because 2x is not being multiplied by 1.
Answer:
the answer is A
Step-by-step explanation:
i just took the test on apx
Tyler said he has finished reading 27% of his book. If the book has 200 pages, which number is closest to the number of pages Tyler has finished reading?
Answer:
C
Step-by-step explanation:
If you do the math and get the right answer, your answer should be 54.
After that, it should be pretty easy to pick out the right answer.
So that's why the answer is C.
Hope this helped! :)
On a map of a local community college, the cafeteria is located at point (-4,3) and the bookstore is located at point (6,1). What is the distance between the cafeteria and bookstore rounded to the nearest tenth?
Answer:
10.2
Step-by-step explanation:
See the image attached
Answer:
10.2
Step-by-step explanation:i put this in a test and got it right
State the slope and the y-intercept for the graph of the equation. -x+y=4
Answer:
Slope: 1
Y-intercept: (0,4)
Step-by-step explanation: I hope that helps!
Which set of transformations would generate the image of ABC with the coordinates
A'(-2,5), B(-2,-2), C'(-6, -2) ?
a reflection over the r-axis followed by a rotation of
180° about the origin
a reflection over the r-axis followed by a translation
4 units to the left
B
a reflection over the y-axis followed by a translation
10 units down
10
a reflection over the yuaxis followed by a reflection
over the axis
Answer: A reflection over the x axis followed by a rotation of 180 about the orgin
Step-by-step explanation:
A reflection over the x-axis followed by a rotation of 180 about the origin.
We have given that,
A reflection over the r-axis followed by a rotation of
180° about the origin.
a reflection over the r-axis followed by a translation
4 units to the left.
B a reflection over the y-axis followed by a translation
10 units down 10.
a reflection over the y-axis followed by a reflection over the axis
We have to determine the set of transformation
What is the rotation of the axis?
The straight line through all fixed points of a rotating rigid body around which all other points of the body move in circles.
Therefore A reflection over the x-axis is followed by a rotation of 180 about the origin.
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A serving of walnuts is 2/3 of a cup. How many servings are there in a 5 1/3-cup bag of walnuts?
What is the slope of the line shown below?
Answer:
m = -1/4
Step-by-step explanation:
m = 2-(-1)/-4-8
m = 3/-12
m = -1/4
PLEASE HELP ME FIND YHE SLOPE
20 POINTS HELP ME PLWASW
Answer:
the slope is m=-4/3
Step-by-step explanation:
plz mark brainliest
if 14 of the 22 students in mrs herberts 2nd period class choose math as the favorite subject, what is the P(math)
Answer:
A(math)
Step-by-step explanation:
You have a bag with 6 green marbles, 15 blue marbles, 8 red marbles, 1 yellow
marble. What is the probability of pulling out a green marble?
Answer:
20%
Step-by-step explanation:
Answer:
6/30 Simplified to 1/5
Step-by-step explanation:
Add the total number of marbles together.
Then put the number of green marbles over the total number of marbles.
Now you want to simplify. 6 is divisible by 6 and equals 1.
30 is also divisible by 6 and equals 5.
Hope this helps.
will mark brainliest pls answer
Answer:
= 18 square units
Step-by-step explanation:
area = full square units + 1/2 x half-full square units
2
remember that if a square is not full it is NOT full: hence it will be considered as half full.
full square units =12
1/2 full square units =12
12 + 12/2
12 + 6
= 18 square units