Answer:
Solution:-Let
Tinky's age=x
Laa's age=x+2
According to the question
[tex]\qquad\quad {:}\longmapsto\sf 5 (x+x+2)-1=x (x+2)[/tex]
[tex]\qquad\quad {:}\longmapsto\sf 5(2x+2)-1=x^2+2x [/tex]
[tex]\qquad\quad {:}\longmapsto\sf 10x+5-1=x^2+2x [/tex]
[tex]\qquad\quad {:}\longmapsto\sf 10x+4=x^2+2x [/tex]
[tex]\qquad\quad {:}\longmapsto\sf 10x-2x+4=x^2 [/tex]
[tex]\qquad\quad {:}\longmapsto\sf x^2=8x+4 [/tex]
[tex]\qquad\quad {:}\longmapsto\sf x^2-8x-4=0 [/tex]
If you spend 3$ on 6 apples,what is the unit rate (in dollars) per apple?
Answer
2 apples per $1
Step-by-step explanation:
because 6 apples cost $3, so take 6 divided by 3 so you get 2 apples per dollar
Ben ,Cam and Justin are lumberjacks. The number of trees they chop down is given by b+2c+3j where b is the number of hours Ben some spendsI chopping, c is the number of hours Cam spends chopping and j is the number of hours Justin spends chopping.
Answer:
26 trees
Step-by-step explanation:
Ben, Cam, and Justin are lumberjacks. The number of trees they chop down is given by b+2c+3j where b is the number of hours Ben spends chopping, c is the number of hours Cam spends chopping, and j is the number of hours Justin spends chopping. How many trees do they chop down after Ben spends 8 hours chopping, Cam spends 3 hours chopping, and Justin spends 4 hours chopping?
Given:
b + 2c + 3j
Where,
b = number of hours Ben spends chopping
c = number of hours Cam spends chopping
j = number of hours Justin spends chopping
Substitute the below into the given expression
b = 8 hours
c = 3 hours
j = 4 hours
b + 2c + 3j
= 8 + 2(3) + 3(4)
= 8 + 6 + 12
= 26 trees
They chopped down 26 trees altogether
There are 4,389 dogwood trees in the state park. The park workers are going to plant 342 more trees. How many trees will there be when they are done?
Answer:
4731
Step-by-step explanation:
4,389+342=4,731
In a basketball game, the home team was down by 9 points at the end of the game. They only scored 6 points for every 7 points the visiting team scored. What was the final score of the game? Type both answers with a comma inbetween. Show your work below.
The final score of the basketball game is (54, 63).
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, They only scored 6 points for every 7 points the visiting team scored
and they differ by a total of 9 points.
Therefore, The final score would be 6×9, 7×9.
= (54, 63).
If we take the difference between 63 and 54 it would be 9.
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Convert the Following: 5.4 oz=__________ mg
Answer:
153087 mg
Step-by-step explanation:
I don’t understand so please HELPPPPPPPPPPPPPP
Answer:
C
Step-by-step explanation:
Okay so im going to gudie you thru So what it is asking you is to Count all the cubic squares looking things so what i can see is that You circled 169 aka C that would be correct because it cant be 11 cause it dosent look like 11 square units lol you get what im saying so the answer is C hope this HELPSS!!
By the way follow my insta. exotic. jaliyah if you need anymore help
[Image: Vertical number line ranging from negative 5 to 5.]
On this number line, zero represents sea level. Plot the following points based on the description provided.
• -3 1/2
[Image: Vertical number line ranging from negative 5 to 5.]
On this number line, zero represents sea level. Plot the following points based on the description provided.
• opposite of –5
Answer:
Positive 5.
Step-by-step explanation:
Opposite of negative 5 is positive 5.
The point will be on the positive side, which is above sea level. So it will be on 5 above the zero.
Answer:positive 5
Step-by-step explanation:
A recipe requires 4 cups of
flour to make 3 dozen
cookies. How many cups of
flour are needed for 10
dozen cookies?
Answer:
13 1/3 cups
Step-by-step explanation:
The ratio of flour to dozens of cookies is 4:3 or 1 1/3:1
1 1/3 x 10 = 13 1/3
Answer:
13 1/3
Step-by-step explanation:
12 cups cover the first 9 cookies and than just divide 4 by 3 and you will get 1.3 which is 1 1/3 of a cup
A recipe for 1 batch of spice mix says, “Combine 3 teaspoons of mustard seeds, 5 teaspoons of chili powder, and 1 teaspoon of salt.” How many batches are represented by the diagram? Explain or show your reasoning.
Answer:
There is no diagram for our observation. Please refine your question next time.
Step-by-step explanation:
7 chocolate bars cost 19 dollars determine the cost per chocolate bar.
Answer: .368
Step-by-step explanation:
Answer:
$2.71
Step-by-step explanation:
to find the cost of each chocolate bar you must divide the total cost by the number of chocolate bars
19/7
= 2.714
≈ $2.71
What is 23/24 as a decimal rounded to the nearest hundredth?
Answer:
95.80
Step-by-step explanation:
The number 23/24 rounded to the nearest hundredth is 0.96
What is rounding up numbers?
There are basically two rules while rounding up numbers
If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down and if the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.
Given data ,
Let the number be A = 23/24
So , in order to round the number
First we need to find the decimal for of the number A
And ,
A = 23/24
A = 0.9583
And , rounding the number to its nearest hundredth is rounding the number to two decimal places
So ,
A = 0.9583
A = 0.96
Hence , The number 23/24 rounded to the nearest hundredth is 0.96
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The table below represents a linear function f(x) and the equation represents a function g(x):
Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)
Part B: Which function has a greater y-intercept? Justify your answer. (4 points)
(10 points)
Answer:
Step-by-step explanation:
Part A
for f(x) slope between points (-1,-6) and (1,0)
m= y2-y1/x2-x1 = -6-0/-1-1 = -6/-2= 3
for g(x) slope m=4 because we compare to equation y=mx+b the given equation g(x)=4x-5
The slope of f(x) is 3 and the slope g(x) is 4 so the line of g(x) is steeper
part B
The y intercept for g(x) is (0, -5)
The equation of f(x) can be found
y-y1 =m(x-x1) take any point for example point (1,0)
y-1 =3(x-0)
y=3x+1 so the y-intercept is at (0,1)
The y-intercept for f(x) is greater at y=1 then the one of g(x) at y=-5
In 2018, researchers examined a random sample of 1455 "disadvantaged" Australian school children (children aged 6 – 15 from rural and outer suburban areas) and found that 4.3% of them were nearsighted. In 2014, the rate of nearsightedness among such children was 3.5%. Is this strong evidence that the parameter has changed since 2018?
Answer:
No, this is not a strong evidence that the parameter has changed since 2018. This is because, there are so many factors that could have led to the fall in percentage of "disadvantaged school students" from the initial 3.5% to 4.3%.
Some of the factors could be reduction in the number of disadvantaged students, sample size considered being considered as well as the geographic location upon which the random sampling was made.
Step-by-step explanation:
using the elimination method to solve the system of equations.
3x+6y =36
3x-6y=0
a. 3,6
b. 6,-3
c. 6,3
d. 3,-6
Answer:
c. (6, 3)
Step-by-step explanation:
subtract
3x + 6y = 36
3x - 6y = 0
12y = 36, y = 3
3x + 6(3) = 36
3x + 18 = 36
3x = 18, x = 6
x = 6, y = 3
Answer:
the answer is b good luck
Solve for w.
−(1/4w+8)+8=3
w=134
w = 52
w=−34
w=−12
Solve for w by simplifying both sides of the equation, then isolating the variable.
D. w = −12
Sara bought 12 apples, 24 oranges, and 18 bananas for fruit baskets. If Sara wants to create the greatest number of fruit baskets that all have the same amount of fruit without any left over, how many baskets can she create?
Answer:
Step-by-step explanation:
Apples- 2
Oranges-4
Bananas- 3
In each basket
A new pair of boots is priced at $123.75, plus 6% sales tax. What is the total cost of the boots?
Answer:
131.18
Step-by-step explanation:
The vertices of the triangle in the diagram below are A(7,9), B(3,3), and C(11,3).
What are the coordinates of the centroid of triangle ABC?
Please Answer with work shown! I know that the answer is (7,5) But can some one show the work for it?
If you answer it and show the work for me then I will give you the brainiest question reward!
Please Help!
Answer:
(7 , 5)
Step-by-step explanation:
Add all the x-axis then divide by 3
7 + 3 + 11 = 21
21/3 = 7
Add all the y-axis then divide by 3
9 + 3 + 3 = 15
15/3 = 5
So answer will be (7,5)
The coordinates of the centroid of triangle ABC.
(x, y)
Where,
x = Sum all the x-coordinates of the vertices ÷ 3
y = Sum o
The coordinates of the centroid is (7, 5).
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
The vertices of the triangle in the diagram below are:
A(7,9), B(3,3), and C(11,3).
Now,
The coordinates of the centroid of triangle ABC.
(x, y)
Where,
x = Sum all the x-coordinates of the vertices ÷ 3
y = Sum of the y-coordinates of the vertices ÷ 3
Now,
x = 7 + 3 + 11 / 3 = 21/3 = 7
y = 9 + 3 + 3 / 3 = 15/3 = 5
Now,
The coordinates of the centroid is (7, 5).
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What are the answers?
Answer:
Step-by-step explanation:
I need the statements please.
6th grade math i mark as brainliest
Answer:
There are 5 terms
Step-by-step explanation:
each number is its own term
A. 2x+5=23
B. x+2+5=23
C. x+x+5=23
D. 5x+2=23
Answer:
b
Step-by-step explanation:
lucky guess
Answer:
your answer is A
Step-by-step explanation:
if you look at the amount of "x's " you have , you put them together and you will get 2x and you add 5 and your answer 23...
hopefully i was helpful
Find the x- and y-intercepts of the graph of the linear equation 2x+3y=12.
Answer:
x-intercept= 6
y-intercept= 4
Step-by-step explanation:
Solve for x first then solve for y.
Answer: y= -2/3x+4
The X-Intercept is -2/3
The Y- Intercept is 4
Hope this helps!! Have a wonder day everyone!! (:
Step-by-step explanation:
Step one write out the equation 2x+3y=12
Then move the variable to the right hand side and change the sign. 3y=12-2x
Then divide both sides of the equation by 3. You get y=4-2/3x
Then: Use the Commentative Property to reorder the terms. y= -2/3x+4
SOLVING SYSTEMS:
I just need the work for each equation.
An angle measures 130.4° more than the measure of its supplementary angle. What is the measure of each angle?
Answer: 24.8 and 155.2
Step-by-step explanation:
x+x+130.4=180
2x=49.6
x=24.8
Answer:
155.2
Step-by-step explanation:
let x be the supplimentary angle
then the angle is
130.4+x
we have
130.4+x+x=180
2x=49.6
multiply both sides with 2
x=24.8
then the angle is
130.4+24.8
155.2
The numbers 22 and 35 are relatively prime. TrueFalse
Answer: True
Step-by-step explanation:
Answer:
False They are coprime numbersStep-by-step explanation:
I hope it helps ❤❤the width of a rectangle is ycm and its length is y+2 cm. if the perimeter of the rectangle is 32cm what is the width of the rectangle
Answer:
[tex]\huge\mathtt{{\colorbox{silver}{ANSWER~~~↴}}}[/tex]
ꜰɪʀꜱᴛ ᴡᴇ ᴡʀɪᴛᴇ ᴛʜᴇ ɢɪᴠᴇɴ↴
⇒WIDTH = Y cm
⇒LENGTH =( y+2 )cm
⇒PERIMETER = 32cm
▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃
solution ↴
perimeter of rectangle = 2 ( length + width)
[tex]32cm = 2( (y +2) +y )cm \\ \frac{32}{2} cm = 2y + 2cm \\ 16cm = 2y - 2cm \\ 16 cm- 2 cm=2y\\ 14cm = 2y \\ y = \frac{14cm}{2} \\ y = 7cm
[/tex]
☛ so the width of the rectangle is 7cm
so we all done :D
▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃
A.) what is the domain?
B.) what is the range?
C.) is this relation a function?
Answer:
The Domain is the set of all points over which a function is defined.
The range is the set of values the function takes on as output.
Question 18
1 pts
If JKLM is an isosceles trapezoid, solve for x.
(8x – 23)
(6x + 11)°
M
L
HELPPP
Answer:
Step-by-step explanation:
J and K are equal
8x - 23 = 6x + 11 Add 23 to both sides
8x = 6x + 11 + 23 Combine the right
8x = 6x + 34 Subtract 6x from both sides
8x - 6x = 34 Combine the left
2x = 34 Divide by 2
x = 34/2
x = 17
=================================
M and L are both supplementary to J and K respectively.
J = 8x - 23
J = 8*17 - 23
J = 136-23
J = 113
K = 113
===================================
M + 113 = 180
M = 180 - 113
M = 67
L = 67
A Sweater That normally costs $25.00 is on sale for 10 percent Off.
What will the Discount be?
what will the cost of the Sweater be?
Can Someone Please PLEASE help me??
Answer:
15.00
Step-by-step explanati
the discount is 15% because you need to subtract it
For the equation
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?
O (3,-4)
O (-3,-4)
0 (-4,-3)
O (-4.3)
We can use the equation of tangent as a structure.
[tex]y - f(a) = f'(a)(x - a)[/tex]
Our f(a) is y-point and Our a is x-point..
Looking back at the equation, our f(a) would be 3 and a would be - 4
Therefore the answer is (-4,3)