Jenny is 8 years old and Sammie 17 is years old.
Given that:Jenny is 9 years younger than Sammie.Five years ago, Sammie was 4 times older than Jennie.To find:Current age of Jennie and Sammie
Calculation and Explanation.Let the current age of Jennie be x.
Let the current age of Sammie be y.
Then from given data we have:
[tex]x = y-9\\4(x-5) = (y-5)[/tex]
We'll substitute value of x from equation 1 in equation 2:
[tex]4(y-9-5) = (y-5)\\3y = 51\\y=17[/tex]
Thus, from equation 1 and y = 17, we have:
[tex]x=y-9\\x=17-9\\x=8[/tex]
Thus, Jenny is 8 years old and Sammie 17 is years old.
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Answer:
Jenny is 8 years old and Sammie 17 is years old.
Notes:
Please make me the brainliest! I worked hard on this.
can I get some help somebody? reward brainiest
Answer:
Step-by-step explanation:
1). x² - 8x
To convert this expression into a perfect square trinomial,
x² - 2(4x) + 4² = (x - 2)²
Therefore , 4² = 16 should be added.
Option (4) is the answer.
2). x² + 2x = 3
x² + 2(1)(x) = 3
x² + 2(1)(x) + 1 = 3 + 1 [By adding 1 on both the sides]
(x + 1)² = 4
x + 1 = ±2
x = -3, -1
Option (1) is the answer.
3). 3x²- 18x = 21
x² - 6x = 7
x² - 2(3x) = 7
x² - 2(3x) + 3² = 7 + 3²
(x - 3)² = 7 + 9
(x - 3)² = 16
x - 3 = ±4
x = -1, 7
Can you help me solve this please
9514 1404 393
Answer:
180 days
Step-by-step explanation:
The formulas for the volume of a cone and a cylinder are ...
V = πr²h . . . . . volume of a cone
V = (1/3)πr²h . . . . . volume of a cylinder
Comparing these formulas, you can see that the 6' high cone at the top will have the same volume as a cylinder of the same radius that is 2' high. So, we can simplify the problem to finding the volume of a cylinder that is 66+2 = 68' high.
V = π(12 ft)²(68 ft) = 9792π ft³ ≈ 30752.5 ft³
When the corn is used at the rate of 170 ft³/day, it will last ...
(30752.5 ft³)/(170 ft³/day) ≈ 180.96 days
The corn will last 180 days.
_____
Additional comment
In scenarios like this, it is inappropriate to round up. There will be about 162 ft³ of corn left after 180 days, which is not enough for an additional day.
Solve for c.
2(2c + 9) = C
c = [?]
Hint: Use the Distributive Property first, to
simplify the left side of the equation.
Enter
Answer:
c= -6
Step-by-step explanation:
2(2c+9)=c
4c+18=c
4c+18-18=c-18
4c=c-18
4c-c=c-c-18
3c=-18
3c/c=-18/3c
c= -6
Evaluate the function: f(x)= 3x - 5; f(-1)
Answer:
-8
Step-by-step explanation:
f(x)=3x-5
f(-1)=3(-1)-5=-3-5=-8
The graph of f(x) = x2 − 3x − 28 is shown. Which of the following describes all solutions for f(x)?
a parabola passing through negative 4 comma zero, zero comma negative 28, and 7 comma zero
(−4, 0), (0, −28), (7, 0)
(−4, 0), (−1, −24), (0, −28), (3, −28), (7, 0)
(x, x2 − 3x − 28) for all real numbers
(x, y) for all real numbers
Answer:
C. (x, x2 − 3x − 28) for all real numbers
Function graphs are graphs of solution equations for y! In this instance, f(x) = x² -3x -28 is the graph.
Constructing a Function Graph:⇒f(x) = x² − 3x − 28
A group of all points in the plane of the form (x, f(x)) constitutes the diagram of a function f. The graph of f can also be defined as the graph of an equation y = f(x). As a corollary, a function's graph is a subset of an equation's graph.
Solving equation:
⇒f(x) = x² − 3x − 28
⇒f(x) = x² − (7−4)x − 28
⇒f(x) = x² − 7x+4x − 28
⇒f(x) = x(x −7) +4(x −7)
⇒f(x) = (x −7) (x+4)
Please find the attached file.
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11 of 14
A train leaves at 14.54 and arrives at its destination at 15.47.
If the train travelled 66 km, what was it's average speed in km/h?
Give your answer rounded to 1 dp.
km/h
Answer:
74.7 km/h
Step-by-step explanation:
The computation of the average speed is shown below:
As we know that
Speed = Distance ÷ Time
where
Distance = 66 km
And, the time is from 14.54 to 15.47 is 53 minutes
So, the speed is
= 66 km ÷ 53 minutes
= 74.71698 kilometers per hour
= 74.7 km/h
Find the measure of each missing angle explain work
I need help on this question :/
Answer: 50-50
Step-by-step explanation:
Find the values of x and y that make the quadrilateral a parallelogram.
The values of x and y that make the quadrilateral a parallelogram are x=3 and y=1.
What is parallelogram and its properties?A parallelogram is a four-sided flat shape with opposite sides that are parallel and equal in length.
Properties are:-
Opposite sides if parallelogram are equal.
The consecutive angles of a parallelogram are supplementary (their sum is 180 degrees).
The diagonals of a parallelogram bisect each other (they intersect at their midpoint).
The slope of the line between the points (4x+6, 4y-3) and (7x-3, 3y+1) is:
slope = (3y+1 - 4y+3) / (7x-3 - 4x-6)
= (-y + 4) / (3x-9)
The slope of the line between the points (7x-3, 3y+1) and (3y+1, 4y-3) is:
slope = (4y-3 - 3y-1) / (3y+1 - 7x+3)
= (y-4) / (7x-3 - 3y-1)
= (y-4) / (7x-3 - 3y-1)
Setting these two slopes equal to each other, we have:
(-y + 4) / (3x-9) = (y-4) / (7x-3 - 3y-1)
Simplifying this equation, we get:
(7x-3 - 3y-1)(-y+4) = (3x-9)(y-4)
-7xy + 28x + 3y^2 - 13y - 7 = 3xy - 12x - 9y + 36
Rearranging and simplifying, we get:
3x + 2y = 11 ... (1)
Similarly, we can find the slope of the line between the points (4x+6, 4y-3) and (3y+1, 4y-3) and the slope of the line between the points (7x-3, 3y+1) and (4x+6, 4y-3) and set them equal to each other. We get another equation:
4x - 3y = 9 ... (2)
We now have two equations with two variables. Solving for x and y, we get:
x = 3
y = 1
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Complete the table for the given rule
Which expressions are equal?
A. 2(x+3)+2x and 4x+3
B.3(x+2)+4xand 6x+6
C.5x+2(x+4) and 6x+8
D.4+5(x+2) and 5x+14
Answer:
Step-by-step explanation:
2(x + 3) + 2x
2x + 6 + 2x
4x + 6 and 4x + 3 not equal
3(x + 2) + 4x
3x + 6 + 4x
7x + 6 and 6x + 6 not equal
5x + 2(x + 4)
5x + 2x + 8
7x + 8 and 6x + 8 not equal.
4 + 5(x + 2)
4 + 5x + 10
5x + 14 and 5x + 14 are equal
Check
Use the diagram to answer the question.
If m Z1 = 45°, which other angles have a measure of
45°? Check all that apply.
t
22
O 23
a
1
2
m 24
25
3
4
b
>>
26
5
6
Answer:
<5 and <4
Step-by-step explanation:
Corresponding angles are congruent.
<1=<5
Opposite Interior angles are also congruent.
Answer:
∠4 and ∠5
Step-by-step explanation:
Opposite interior and corresponding angles have the same measurement.
What percent of $44 equals $11
Answer:
Step-by-step explanation:
11/44 = 1/4 = 0.25 = 25%
25% of $44 = $11
Pls help with the first one thank you
Answer:
1) 54 is the answer
2) The shape is cube
Malala is following this recipe for bread rolls.
She uses 500 mL of water.
How much of each of the other ingredients does she use?
Recipe: Makes 15 bread rolls
480 g flour
12 g salt
6 g yeast
30 mL oil
600 mL water
Answer:
500ml water
400 g flour
2 g salt
5 g yeast
25ml oil
Step-by-step explanation:
PLEASE HELP !!
An advertising company charges $100 each time an advertisement is shown. It costs $200 to create the
advertisement. The cost to create the advertisement and show it x times is given by the function
C(x) = 100x+ 200.
Answer:
30
Step-by-step explanation:
1 plus 2 is 6 x 2 plus 5
Answer:
3
Step-by-step explanation:
500=100×+200
500-200=100×
300=100×
300/100=×
3=×
find the slope
5x -3y = 18
Answer:
m=5/3
Step-by-step explanation:
(2x-3)(2x+7) trinomial
[tex]4[/tex][tex]x^{2}[/tex][tex]+8x-21[/tex]
Step-by-step explanation:
FH = 48
QH = 2x + 4
a)9
b)10
c)6
d)4
Answer:
b.10
Ddssssssssssssss
Solve the system by graphing. x + y = 27 and y=x+3. The solution is ( , ).
Answer:
X=12 Y=15
Step-by-step explanation:
X+Y=27 (1)
Y=X+3 (2)
substitute (2) into (1)
X+X+3=27
2X=24
X=12
substitute X=12 into (2)
Y=12+3
Y=15
If takes 660 metres of fence to enclose a rectangular field. if one side is 30 metres less that twice the other side, find the dimensions of this field (Please help)
Answer:
210 by 120
Step-by-step explanation:
perimeter=2l+2w
length= 2w-30
width= w
2(2w-30+w) = 660
6w-60= 660
6w= 720
w=120
length= 2*120-30 = 210
What is the volume of the rectangle pyramid below 5 m 3 m 3 m
Answer: 3(5)(1/2)(3) = 45/2
Step-by-step explanation:
Answer:
15 cubic meters
Step-by-step explanation:
V = 1/3 · Area of Base x Height
V = 1/3 ·3² · 5
V = 3 · 5
I need help I can't find the answer.
Mark bought a car for x dollars. One year later the car was 0.85x. What was the percent decrease.
Answer:
[tex]Let~the~percentage~decrease~be~equal~to~y.\\Then,\\0.85x = x-\frac{y}{100}(x)\\or, 0.85x = x-0.01xy\\or, 0.85x = x(1-0.01y)\\or, 0.85 = 1-0.01y\\or, 0.01y = 1-0.85 = 0.15\\or, y =15\\So, ~the~decrease~of~the~price~is~15%.[/tex]
Alternative method:
[tex]Percentage~decrease = \frac{Initial~Rate-Final~rate}{Initial~Rate}(100) \\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~=\frac{1-0.85}{1}(100) = 0.15(100)=15[/tex]
Answer:
thr percent decrease is 15%
Step-by-step explanation:
you get 1.00 which represent beginning price u subtract the current price 1.00-0.85 you get0.15 which is 15%
Please find x and a
Answer:
x = 36
a = 25
Step-by-step Explanation
By Pythagoras Theorem:
[tex]x = \sqrt{ {39}^{2} - {15}^{2} } \\ \\ x = \sqrt{1,521 - 225} \\ \\ x = \sqrt{1,296} \\ \\ x = 36 \\ \\ a = \sqrt{ {20}^{2} + {15}^{2} } \\ \\ a = \sqrt{400 + 225} \\ \\ a = 25 \sqrt{625} \\ \\ a = 25[/tex]
Need help will give you the brainliest
Answer:
8q+2r
since all of the terms are to the first power, you can add them if they have the same term (so there are 5 indivudal q's and 3q so 8q)
Answer:
8q+2r
Step-by-step explanation:
please mark brainliest
4x - 12 = 36 *
pls helppppppppppppppppp
does anyone know how to do this math problem?
Answer:
1,-2
Step-by-step explanation:
Multiply top equation by 3 and bottom by 2
6p+9q=-12
6p+10q=-14
Do bottom - top
(6p+10q)-(6p+9q)= (-14) - (-12)
q = -2
6p + 9(-2)=-12 = 6p=18
6p=18-12=6
p=1
8.
50 in.
Write an expression for the perimeter in simplest radical
form
V8 in.
V8 in.
V18 in.
I a) 2V21 in.
I b) 12v2 in.
I c) 218 + 8V2 in.
d) They aren't like terms
Answer:
Do you want the perimeter of this shape?
does anyone know the answer by any chance?
