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.
2. 252 - 200 – 8 x 5 = 247
Insert parenthesis to make the answer true
Verify Euler's formula for
(a) Tetrahedron
(b) Hexagonal prism
Answer:
Euler's formula for polyhedron is:
V - E + F = 2where V- vertex, E- edge, F- faceAs per the above formula the relationship between the vertexes, edges and faces is same for any polyhedron.
Lets confirm, have a look at the picture
(a) Tetrahedron, count each element:
V = 5, E = 8, F = 5Verify
5 - 8 + 5 = 10 - 8 = 2 - correct(b) Hexagonal prism, count each element:
V = 12, E = 18, F = 8Verify
12 - 18 + 8 = 20 - 18 = 2 - correctPlease help me need ASAP
Answer:
3)Quadratic
Step-by-step explanation:
Brainliest?
HELP ASAPPPP USE THE PHOTOOOOO MARKING BRAINLIEST
If 1/4 gallons of water are enough to fill 7/10 of the pool how much water is nessacary to fill in the entire pool
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Work Shown:
1/4 = 0.25
7/10 = 0.70 = 70%
We are told that 0.25 gallons of water fills 70% of the pool
We want to find how many gallons of water (call it x) are needed to fill 100% of the pool.
Set up the proportion below and solve for x
(0.25 gallons)/(70% filled) = (x gallons)/(100% filled)
0.25/70 = x/100
0.25*100 = 70x ....... cross multiply
25 = 70x
70x = 25
x = 25/70
x = (5*5)/(5*14)
x = 5/14 gallons
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An alternate method:
1/4 gallons = 7/10 pools filled
(10/7)*(1/4 gallons) = (10/7)*(7/10 pools filled)
(10*1)/(7*4) gallons = (10*7)/(7*10) pools filled
10/28 gallons = 1 pool filled
(5*2)/(14*2) gallons = 1 pool filled
5/14 gallons = 1 pool filled
In the second step, I multiplied both sides by 10/7 so that the "7/10" turns into "1".
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Yet another alternate method:
1/4 = 10/40
7/10 = 28/40
We need 10/40 gallons of water to fill 28/40 of one pool. We can multiply both fractions by 40 to indicate that 10 gallons of water will fill up 28 pools.
So we have this ratio
10 gallons : 28 pools
Dividing both parts by 28 tells us how many gallons are needed for one pool
10 gallons : 28 pools
10/28 gallons : 28/28 pools
10/28 gallons : 1 pool
5/14 gallons : 1 pool
Please hurry it’s timed
which expressions are equivalent to 2 to the 6th power choose all that apply. please help
Answer:
2 * 2 * 2 * 2 * 2 * 2
4 * 16
8 * 8
Step-by-step explanation:
Power is the result of multiplying two numbers together. The correct option is 2×2×2×2×2×2, 4×16, and 8×8.
What is power?Power is the result of multiplying two numbers together. Power is typically expressed by a base number and an exponent. The base number indicates the number being multiplied. The exponent, which is a little number printed above and to the right of the base number, indicates the number of times the base number is multiplied.
The given expression can be written as,
2⁶ = 2 × 2 × 2 × 2 × 2 × 2
= 4 × 16
= 8 × 8
Hence, the correct option are 2×2×2×2×2×2, 4×16, and 8×8.
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The sum of 6 and y is greater than – 16.
Answer: 6+y < -16
Step-by-step explanation:
Turning off the water while brushing your Teeth saves 350 centilliters of water. How many liters of water can you save if you turn off the water the next 3 times you brush your teeth? (Round your answer to the nearest hundredth)
Answer:
1.1l
Step-by-step explanation:
350×3=1050cl
=1.05l
rounded to nearest hundredth=1.1l
The equation of a line is y= -3x - 18. What are the coordinates of the point on the
line when the value of yis 3?
Answer:
-7
Step-by-step explanation:
3=-3x-18
3x=-18-3
3x=-21
x=-7
Please I need serious help with this ASAP it's easy! Please explain your answer I will mark brainliest!
Answer:
B, A, C
Step-by-step explanation:
The size of the angle is directly proportional to the length of the side
For which values of x are the following expressions undefined?
1.1
- 3
x + 7
Answer:
please send the question completely
I NEED HELP ITS KINDA EASY BUT NOT FOR ME
Answer:
28m
Step-by-step explanation:
Formula of area
AREA = LENGTH (multiply) BREATH
Answer:
The area of a triangle can be calculated with the formula: 1/2(bh), where b is the base length, and h is the height.
In this case, 4 is the base, and 7 is the height.
So we have: Area = 1/2(4)(7)
Simplifying: Area = 2(7), Area = 14.
The area of the triangle is 14 meters squared.
Let me know if this helps!
The function f(x) = 15x + 2 What is the meaning of the slope of the function?
Answer:
15
Step-by-step explanation:
y=mx+b where m=slope and b=y-intercept.
Help with math work please I am bad at math the question is on the image!!
In my knowledge
2 × 8 + 5 = 21
Hope it helps ;)
Can someone help me solve this (solution must contain a point (x,y).
Answer:(6,2)
Step-by-step explanation:
Photomath
Answer:
x=6
y=2
(x,y)=(6,2)
.................................
Abigail's grandmother gave her a square shaped quilt that was made up of 256 small squares. How many squares are on each side of the quilt?
Answer:
64
Step-by-step explanation:
you divide 256 four times
Pleaseee helpppp answer correctly !!!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!
Answer:
10.4 meters
Step-by-step explanation:
Mr Tan monthly salary is $2999.52. In order to fill up a membership application form, mr Tan has yo roping off his monthly salary to the nearest dollar. What should he write on the application form for his monthly salary?
Answer:
three thousand dollars
Step-by-step explanation:
you round up to 3000
percents and numbers
Answer:
16
Step-by-step explanation:
11111111111111111111111
Answer:
1) Zero based on (-16·t - 2) is t = -1/8 second
2) Zero based on (t - 1) is t = 1 second
Step-by-step explanation:
The given functions representing the height of the beach ball the child throws as a function of time are;
y = (-16·t - 2)·(t - 1) and y = -16·t² + 14·t + 2
We note that (-16·t - 2)·(t - 1) = -16·t² + 14·t + 2
Therefore, the function representing the height of the beachball, 'y', is y = (-16·t - 2)·(t - 1) = -16·t² + 14·t + 2
The zeros of a function are the values of the variables, 'x', of the function that makes the value of the function, f(x), equal to zero
In the function of the question, we have;
y = (-16·t - 2)·(t - 1) = -16·t² + 14·t + 2
The above equation can be written as follows;
y = (-16·t - 2) × (t - 1)
Therefore, 'y' equals zero when either (-16·t - 2) = 0 or (t - 1) = 0
1) The zero based on (-16·t - 2) = 0, is given as follows;
(-16·t - 2) = 0
∴ t = 2/(-16) = -1/8
t = -1/8 second
The zero based on (-16·t - 2) is t = -1/8 second
2) The zero based on (t - 1) = 0, is given as follows;
(t - 1) = 0
∴ t = 1 second
The zero based on (t - 1) is t = 1 second
Choose the missing step in the given solution to the inequality −2x − 14 > −4 + 3x.
−2x − 14 > −4 + 3x
−5x − 14 > −4
_____________
x < −2
A. −5x < 10
B. −5x > −18
C. −5x > 18
D. −5x > 10
Answer:
Step-by-step explanation:
-2x - 14 > -4 + 3x
subtract 3x from both sides
-5x - 14 > -4
add 14 to both sides
-5x > 10
divide both sides by -5
x < -2
The answer would be -5x > 10.
This is because our last inequality was -5x - 14 > -4 so we add 14 to both sides and it would look like this -5x (-14 + 14) > (-4 + 14) which would transition into our next inequality -5x > 10.
So therefore the answer would be -5x > 10.
Graph the line with the equation y= - 1/3 x -4?
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its really helpful
please do ALL 3 will give brainliest!! and a surprise!!!
Answer:
a) -2.5x+3.9+1.7x
circle: 2.5x and 1.7x
variables: x
b) 1 1/2+t+2/3s
no like terms
variables: s and t
c) 15k+2/3k+3m
circle: 15k and 2/3k
variables: k and m
Find the volumes of the pyramid and triangular pyramid.
Answer:
1) Volume of triangular pyramid = 33 cm³.
2) Volume of triangular prism = 99 cm³
Step-by-step explanation:
1) Volume of a triangular pyramid is given as;
V_py = ⅓Ah
Where A is area of base and h is height
We see from the diagram that;
A = 11 cm²
h = 9 cm
Thus; V_py = ⅓ × 11 × 9 = 33 cm³
2) Volume of triangular prism is given by;
V_pr = ½bhl
Where;
½bh is area of triangular cross section
l is length
We see from the diagram that ½bh = 11 cm² and L = 9 cm
Thus;
V_pr = 11 × 9 = 99 cm³
select all the statements that are true about square EFGH.
Answer:
sorry but theres no answer to that if we can't see the square :|
Step-by-step explanation:
Answer:
Step-by-step explanation:
1. Jared has portrait in shape of a square. One side length, in inches, is the sum of 7 and L
Jamilah also has a portrait in shape of a square. The length of one side is 3 inches longer
than one side of Jared's portrait. What is one side length of Jamilah's portrait?
Answer:
7 + L + 3 = L + 10
Step-by-step explanation:
What is the length of the hypotenuse to the nearest hundredth place in the diagram below
Answer:
Hypotenuse (x) = 7.27
Step-by-step explanation:
cos57*=4cm/x
cos57*/cos57*=4/cos57*
x=4/cos57*
cos57*~.55
x=4/.55
x=7.27
evaluate f(.25) if f(x) = [[2x-1]]
Answer:
(-.5)
Step-by-step explanation:
Janet bought a book for $19.95, and the tax was 6.25%. including tax how much did she pay round to nearest cent
Answer:$21.2
Step-by-step explanation:
multiply 19.25*6.25 then divide by 100 then add that answer onto 19.25 to then get an estimate of 21.2 dollars