Mrs.Stone is three times older than her younger daughter, Joyce, but only two times older than her older daughter, Alex. How old is Mrs.Stone now, if 9 years ago Alex was two times okder than Joyce? Mrs.Stone is three times older than her younger daughter, Joyce, but only two times older than her older daughter, Alex. How old is Mrs.Stone now, if 9 years ago Alex was two times okder than Joyce?
Answer:
54 years
Step-by-step explanation:
Joyce age = x
Alex age = y
3x = 2y - - - (1)
y - 9 = 2(x - 9)
y - 9 = 2x - 18
-9 + 18 = 2x - y
9 = 2x - y
y = 2x - 9 - - (2)
3x = 2y
3x = 2(2x - 9)
3x = 4x - 18
18 = 4x - 3x
18 = x
Hence,
Mrs stone is 3 * 18 = 54 years
what is the function rule for the transformed with vertical stretch by a factor of 2 and translated down 6
Answer: Thus, the equation of a function stretched vertically by a factor of 2 and then shifted 3 units up is y = 2f (x) + 6, and the equation of a function stretched horizontally by a factor of 2 and then shifted 6 units left is y = f ( (x - 6)) = f ( x - ). Example: f (x) = 2x2.
Step-by-step explanation:
Which graph best represents a system of equations that has no solution?
Answer:
D, because parallel lines never have a solution.
Step-by-step explanation:
The graphs which show no solution is required.
Option D has no solution.
When a system of linear equations have a solution means that the lines intersect each.
This means for a given [tex]x[/tex] value of both equations there exists the same [tex]y[/tex] value.
Options A, B and C all have lines that intersect each other at some point.
In option D the lines are parallel to each other.
So, option D has no solution.
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Triangle JKL is fromed by plotting three points. What is the leanth of sides JK?
j(1 , 5) k(1, 9)
answers > 6 3 5 2
[tex]\LARGE\leadsto\sf JK=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]\LARGE\leadsto\sf \sqrt {(1-1)^2+(9-5)^2}[/tex]
[tex]\LARGE\leadsto\sf \sqrt {(0)^2+(4)^2}[/tex]
[tex]\LARGE\leadsto\sf \sqrt {0+16}[/tex]
[tex]\LARGE\leadsto\sf \sqrt {16}[/tex]
[tex]\LARGE\leadsto\sf JK=4units [/tex]
I need help I’m being timed
If the line y = x is flipped over the x axis and made flatter by a factor of 1/2 , write the equation of the new line .
PLEASE HELP
pls help will give brainliest
8. Solve the equation.
25 - 3x = 40
a.x=5
b.x=1
C. X=-1
d. x= 10
Help !
Question 1 of 5 ? Marissa is throwing a ball across a 36-yard field. She threw it 3 of the way across the field. How far did Marissa throw the ball?
Answer:
12
Step-by-step explanation3%36
. The table lists the number of students from Windy Brook Middle School at the state fair. What is the ratio of sixth graders to the total number of students at the fair?
Answer:im so sorry these people wasted your time hun Answer:
2 : 9
Step-by-step explanation:
First find the total number
6+4+5+3 = 18
6th graders : total
4 : 18
Divide each side by 2
4/2: 18/2
2 : 9
there ya go!
2x -14 = -9 answer for this equation
Answer:the exact form is x=5/2 if its wrong then its probably wrote in a different way
Step-by-step explanation: Move all terms that don't contain
x
to the right side and solve.
Answer:
x= 2.5
Step-by-step explanation:
Simplifying
2x + -14 = -9
Reorder the terms:
-14 + 2x = -9
Solving
-14 + 2x = -9
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '14' to each side of the equation.
-14 + 14 + 2x = -9 + 14
Combine like terms: -14 + 14 = 0
0 + 2x = -9 + 14
2x = -9 + 14
Combine like terms: -9 + 14 = 5
2x = 5
Divide each side by '2'.
x = 2.5
Simplifying
x = 2.5
distance between -5.4 and -3.8
Answer:
1.6
Step-by-step explanation:
In order to find the distance all you need to do is subtract the two numbers
so you would:
-5.4-(-3.8)=-1.6 or 1.6 since distance is not negative number.
A interesting fact to note is when you are subtracting negatives you can also just add the number as a positive
Ex.
5 - (-2) =7
5+2=7
pls help will mark brainliest
Step-by-step explanation:
it is proportional
Answer:
Not poportional.
Step-by-step explanation:
Beacsue the numbers doesn't have a constant rate of change.
How many buses do you need for 650 people if each bus holds 100 people?
Answer:
we would need 7
Step-by-step explanation:
because if each bus hold 100 and there is 650 we would need 7 buses
because we well have 6 fill bus and 1 half full bus
Answer:
7
Step-by-step explanation:
100/7 u would only ned the 7 and not the 100
Solve the Inequality
9w-4w+6≥1+5w
Answer: All real numbers :)
Two numbers are in a ration of 3:7, the larger exceeds the smaller by 12.
What is the larger number?
Brice has 400 toy cars. Of the toy cars, 15% are red, 40% are green, and the rest are multicolor.
How many toy cars are multicolor?
O 160
O 60
O 180
100
Answer:
180
Step-by-step explanation:
Answer:
180
Step-by-step explanation:
15 + 40 = 55, so 55% of the toy cars are not multicolor.
100 - 55 = 45 so 45% of the toy cars ARE multicolor.
To find what 45% of 400 is, we multiply 400 by 0.45
400*0.45 = 180 so there are 180 multicolor cars.
asap please and thank you
Answer:
x = 16 degreesStep-by-step explanation:
1 and 3 are vertical angles so m∠1 = m∠3
(4x - 2)° = 62°
4x - 2 = 62
4x = 64
x = 16
the ratio of boys to girls is in a class 4:3. There are 35 students in the class. How many students are boys ?
What is the formula?
Answer:
ratio 4x:3x
total= 7x parts = 35(given)
x= 35/7 =5
boys = 4x = 20
girls = 3x = 15
The number of boys are more by 20-15 = 5.
Step-by-step explanation:
Answer:
20 boys 20:15
Step-by-step explanation:
helpful??
may someone help me with this following question I already know it's not (B)
Answer:
a
Step-by-step explanation:
Answer:
the answer would be A
Step-by-step explanation:
180-135=45
90+45=135
180-135=45
w=90
x=45
The graph for the equation Y= 2X+4 is shown below.
If another equation is graphed so that the system has one solution, which equation could that be?
Oy= 2x-4
Oy=2(x+ 2)
Oy=2(x-4)
Oy=x+4
To have only one solution the two lines must have different slopes, then the correct option is:
y = x + 4.
Which equation could it be?
We want our system to have exactly one solution, so the two lines must have different slopes.
The already graphed line s:
y = 2x + 4
Notice that the slope is 2, then we need to select the option with an slope different than 2, which is the last option:
y = x + 4
If we graph that line, the system will have only one solution.
If you want to learn more about systems of equations:
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Plz help I’m getting timed
If △ABC∼△DEC, find the values of x and y.
(giving brainliest to the correct answer)
Answer:
Where are the answer choice?
I dont understand this question 2/5÷9/4 is the same as which of the following?
Answer:
Step-by-step explanation:
You didn't list anything to choose from.
2/5÷9/4 When you have a division and fraction after it, change the sign to multiplication and flip the fraction.
2/5 * 4/9
8/45
I will make you brainliest if correct. explain how you got it please
Answer:
Perpendicular
Step-by-step explanation:
Slope of l1=6\9 = 2\3
Slope of l2 =-3\2
perpendicular lines
Answer:
perpendicular
Step-by-step explanation:
l1 slope= 2/3
l2 slope= 3/2
I need help!!! Question: Elena has a pet parakeet the weighs 6 when measured in one unit and 170 when measured in a different unit.Which measurement is in ounces and which is in grams?
Answer:
6 ounces equals to 170 grams
Step-by-step explanation:
What is y=6/5x+4/5 perpendicular
Answer:
y=-6/5xStep-by-step explanation:
Help Pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer: thats a tuff one
Step-by-step explanation:
im not sure
The answer is D 8g to the power of 6 h to the power of 4 k to the power of 12-h to the power of 25 k to the power of 15
A store sells tiles in the shape of a parallelogram. The perimeter of each tile is 37 inches. One side of each tile is 2.5 inches longer than another side. What are the side lengths of the tile? The side lengths of the tile are ___Inches and ___ Inches.
Answer:
The side lengths of the tile are 8 Inches and 10.5 Inches.
Step-by-step explanation:
Perimeter of a parallelogram = 2(a + b)
Let
a = shorter side
b = longer side
b = a + 2.5 inches
The perimeter of each tile is 37 inches
Perimeter of a parallelogram = 2(a + b)
37 = 2{a + (a + 2.5)}
37 = 2{a + a + 2.5}
37 = 2(2a + 2.5)
37 = 4a + 5
37 - 5 = 4a
32 = 4a
Divide both sides by 4
a = 32/4
= 8
a = 8 inches
b = a + 2.5 inches
= 8 + 2.5
= 10.5 inches
b = 10.5 inches
The side lengths of the tile are 8 Inches and 10.5 Inches.
What is the area of this figure?
4 yd
2 yd
2 yd
2 yd
5 yd
5 yd
2 yd
6 yd
Answer:
4+8+10+6=28
Step-by-step explanation: