Total number of parts = 5 + 7 + 8 = 20
Let the sum of the money with them be = x
Cleopatra has =
= 5/20 of x = $17
= 5/20x = 17
= 1/4x = 17
= 1x = 17 × 4 ( transposing ÷4 from LHS to RHS changes ÷4 to ×4 )
= x = 68
Therefore , they have $68 in total .
Solution (b) :Total number of parts = 5 + 7 + 8 = 20
Parts with Dalila = 7/20
Money with Dalila =
= 7/20 of 68
= 7/20 × 68/1
= 476/20
= 23.8
Dalila has $23.8 with her .
Money she spends on a hat = $12
Money left with her =
= 23.8 - 12
= 11.8
Therefore , Dalila has $11.8 left with her , after she buys a hat .
Solution to the problems in the comment box :-
Solution (1) :Ratio of cement to sand to aggregate to water = 2:5:8:1
Total parts = 2 + 5 + 8 + 1 = 16 parts
Number of parts for aggregate = 8/16
Then the aggregate needed by Bobbie =
= 8/16 × 1.2
= 1/2 × 1.2
= 1.2 as a fraction will be 6/5
= 1/2 × 6/5
= 6/10
6/10 as a decimal = 0.6
Therefore , Bobbie needs 0.6 cube of meter .
Solution (a) :Cement : sand : aggregate : water = 2:5:8:1
Total parts = 16
Number of parts for cement = 5/16
Let the quantity of concrete be = x
Then ,
Cement =
= 5/16 of x
= 5/16x = 0.25 meter cube
= x = 0.25 × 16/5
= x = 25/100 × 16/5
= x = 1/4 × 16/5
= x = 16/20
= x = 4/5
4/5 as decimal = 80/100 = 0.08
Cement needed by Eddie = 0.08 cubic meter .
Quantity of water Eddie will need =
= 1/16 × 0.08
= 1/16 × 80/100
= 1/16 × 8/10
= 8/60
= 0.13
Water needed by Eddie = 0.13 cubic meter .
Quantity of aggregate needed by Eddie =
= 8/16 × 80/100
= 1/2 × 8/10
= 8/20
= 40/100
= 0.04
Aggregate needed by Eddie = 0.04 cubic meter .
Quantity of sand Eddie will need =
= 5/16 × 80/100
= 5/16 × 8/10
= 40/160
= 0.25
Quantity of sand needed by Eddie = 0.25 cubic meter .
Therefore , Eddie will need 0.25 cubic meter of sand , 0.04 cubic meter of aggregate ,0.13 cubic meter of water along with 0.25 cubic meter of cement to make concrete .
Solution (b) :When water and aggregate has been added the quantity of concrete =
= 0.13 + 0.04
= 0.07
Therefore , when water and aggregate has been added the quantity of concrete will be 0.07 cubic meter .
Max is x years . Brother is 8 years older , sister is 12 years younger.total age.is 50 years.how old are they ?
Answer:
30
Step-by-step explanation:
12 + 8 = 20 so that means 50-20= 30 so max is 30 years old
Marissa is choosing a four-digit PIN for her ATM card. The first digit must be a digit from 1 through 9. For the other three digits, she can choose any combination of digits 0 through 9, but may not repeat a digit. Which shows part of the sample space for Marissa's PIN?
Answer:
2345, 2034, 2134
Step-by-step explanation:
From the choices available the only options that would samples would be 2345, 2034, 2134. These three samples meet all of the requirements of the ATM cards pin system. Each of them starts with a 2 which is between 1 and 9. The last 3 digits of each of these samples are between 0 and 9 and are also not repeated from any of the other digits in the pin. All of the other options available either start with a 0 or have at least one repeating digit in its pin code.
Anna runs three over4 mile in six minutes. Assuming she runs at a constant rate what is her speed in miles per hour
Answer:
7.5 mph
Step-by-step explanation:
6 times 10 is 60 minutes which is an hour
3/4 times ten is 7.5
Which pair of lines are perpendicular
Answer:
D
Step-by-step explanation:
Need help ASAP!!!!!!!
Which pair of numbers has an LCM of 60?
a. 2 and 12
b.5 and 12
c.6 and 12
d.3 and 12
Pls answer ASAP
Answer: 5 and 12
Step-by-step explanation:
i did the quiz
1. (3x + 7) + (8x + 2)
PLS HELP ILL MARK YOU BRAINEST DUE IN 20 MINSS
Answer:
well the numbers are 58 60 62 64 and 66
Step-by-step explanation:
it's because when u add these 5 numbers u get 310 hope this helps
Answer: 62
Step-by-step explanation:
Please help me solve this. :)
Answer:
40
Step-by-step explanation:
Given problem:
x² - y²
x+ y = 10
x - y = 4
Solution:
Using the concept of differences of two squares;
x² - y² = (x + y)(x - y)
So;
x² - y² = 10 x 4 = 40
reciprocal of the fraction 3/7 is
Answer:
A simple example - the reciprocal fraction of 3/7 is 7/3. As you can see, a reciprocal of a fraction is just flipping the numerator and denominator.
Step-by-step explanation:
Answer:
7/3
Step-by-step explanation:
reciprocal, refliprical is a great way to remember how to solve. You just flip the fraction.
An average swimming pool contains 19200 gallons of water. The pool needs drained at the end of the summer. Water drains from the pool at the rate of 12 gallons per minute. Which equation can be used to find the volume, V, of the water in the pool m minutes after draining begins?
Answer:
V = 19200 - 12m
Step-by-step explanation:
The pool contains 19200 gallons of water.
Now we are told that water drains from the pool at the rate of 12 gallons per minutes.
Now, we want to find the volume, V, of the water in the pool, "m" minutes after draining begins.
Since water drains at 12 gallons per minutes, it means that after "m" minutes, the total amount that would have been drained is 12m gallons.
Thus, total volume V left after m minutes can be expressed as;
V = 19200 - 12m
PLEASE HELP I AM BEING TIMED.
A frame designer is making a triangular frame. she has two sides of length 20 inches and 28 inches. What are the possible lengths for the third side?
subtract from both sides -6- (8.4) =1.2x +8.4 - (8.4)
Answer: -6- (8.4) =1.2x +8.4 - (8.4)
X = - 12
Find the measure of the "?" or "X". Explain or show your
Answer:
66⁰ + x = 111⁰
x = 111⁰ - 66⁰
x = 45⁰
Answer:
First, I am taking the interior angle E as 'y' to be able to use the angle sum property to find 'x'.
So we can find 'y' by using 'linear pair'.
So Exterior angle 'E'+y=180 Degree.
= 111+y=180
By transposing: y=180-11
And y= 69 degrees.
And now have angles y & 'Angle G' we can use Angle sum property to find 'x'
ACCORDING TO ANFLE SUM PROPERTY OF TRIANGLE: "THE SUM OF ALL THE ANGLES OF A TRIANGLE IS 180 DEGREE"THEREFOR, y+x+angle G=180 degrees.
= 69 degrees+66 degrees+x=180 degrees
= 135 degrees+x=180 degrees
by transposing,
x= 180 degrees-135 degrees
And, x= 45 degrees
ANOTHER METHOD:BY USING EXTERIOR ANGLE PROPERTY.
ACCORDING TO EXTERIOR ANGLE PROPERTY OF TRIANGLE: "An exterior angle of a triangle is equal to the sum of its interior opposite angles"
So, Exterior Angle E= x+ Angle G
= 111 degrees= x+ 66 degrees
By transposing, x= 111 degrees-66 degrees
= x=45 degrees.
So no matter whichever method is used, the value of x= 45 degrees.
Show all work to identify the asymptotes and zero of the function f(x)=5x (over) x^2-25
9514 1404 393
Answer:
asymptotes: x = ±5; y = 0zero: x = 0Step-by-step explanation:
The function will have a zero where the numerator is zero:
5x = 0
x = 0 . . . . divide by 5
The zero of the function is x=0.
__
The function will have vertical asymptotes where the denominator is zero:
x^2 -25 = 0
x^2 = 25 . . . . add 25
x = ±5 . . . . . . take the square root
The function will have vertical asymptotes at x = -5 and x = 5.
__
When x gets large, the magnitude of the function is approximately ...
5x/x^2 = 5/x
As x approaches infinity, this value approaches zero.
The function will have a horizontal asymptote at y = 0.
What is the slope of a line that is parallel to the line y=2/3x+5
Answer: 2/3
Step-by-step explanation: The slopes of parallel lines are equal/the same but they have different y intercepts
The graph shows the height in feet of an object above the ground T seconds after it was launched from the ground.
Answer:
the answer is D
Step-by-step explanation:
The equation y = -16x² + 64x represents the given parabola that represents the height in feet of an object above the ground T seconds after it was launched from the ground.
What is function?A function is a relation between a dependent and independent variable. We can write the examples of functions as -
y = f(x) = ax + b
y = f(x, y, z) = ax + by + cz
Given is a graph that shows the height in feet of an object above the ground {T} seconds after it was launched from the ground.
The given graph is a parabola. A quadratic equation represents a parabola.
The quadratic equation will have two roots at the point on which it cuts the {x} axis.
Consider the equation in option {C} as -
y = -16x² + 64x
For the point (4, 0), we can check the graph as -
0 = - 16 x 4 x 4 + 64 x 4
0 = 0
For the point (0, 0), we can check -
0 = 0 + 64 x 0
0 = 0
Therefore, the equation y = -16x² + 64x represents the given parabola that represents the height in feet of an object above the ground T seconds after it was launched from the ground.
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Which is the best estimate of 22 x 97 by using rounding or compatible numbers? F. 1.800 G. 2,000 H. 2.300 1. 2.400
Answer:
G
Step-by-step explanation:
2,134 is the answer to 22 times 97.
So, the estimate would have to be; G. 2,000
( 2,134 rounds to 2,000.)
Lerna's Hydra is a mythological character that appears in some stories such as the 12 Tasks of Hercules. The Hydra was a one-headed monster but when it is cut off, 2 more heads grow in its place. If a hero tried to conquer it by cutting off all of its heads every day, how many heads would the Hydra have on the third day? And at the end of 10 days of trying to kill it? *
Answer:
Step-by-step explanation:
Initially the monster is one-headed, when it is cut off, 2 more heads grow in its place, when the two heads are cut off, 4 will grow in its place. This will go on an on and the amount of heads that grows each day will form a geometric sequance as shown;
1, 2, 4...
The nth term of an arithmetic sequence is expresses as;
[tex]T_n = ar^{n-1}[/tex] where;
a is the first term
r is the common ratio
n is the number of terms
To get the number of heads that the Hydra have on the third day, we will have to find the fourth term of the sequence since the first cutting was done the next day (second day).
from the sequence above;
a = 1
r = 2/1 = 4/2 = 2
T4 = 1(2)^{4-1}
T4 = 2^3
T4 = 8
Hence the hydra will have 8 heads on the third day.
To know the number of heads at the end of 10 days, we will find the 11th term of the progression
T11 = 1(2)^{11-1}
T4 = 2^10
T4 = 1024
He will have 1024 heads after 10 days of trying to kill the monster.
The number of heads that would the Hydra have on the third day is 8
And, at the end of 10 days of trying to kill it is 1024.
The calculation is as follows:a = 1
r = 2 by 1 = 2
T4
= 8
So the hydra will have 8 heads on the third day.
Now
To know the number of heads at the end of 10 days, we will determine the 11th term of the progression
= 1024
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Solve for x: 3(x + 1) = −2(x − 1) − 4.
Answer:
x = -1
Step-by-step explanation:
3(x+1) = -2(x-1) - 4 (Use the distributive property on both sides)
3x + 3 = -2x + 2 - 4 (collect like terms on the right side)
3x + 3 = -2x - 2 ( add 2x on both sides)
5x + 3 = -2 ( subtract 3 on both sides)
5x = - 5 (divide by 5 on both sides)
x = -1
I need help please and thank you
Answer:#7 is 20%. #8 is 67.5 people
Step-by-step explanation: For #7 you would just divine 14/70 to get .20 converted to a percentage is 20%. For #8 you would convert 37.5% to a decimal of .375 and multiply that to 180 people to get the answer of 67.5 people.
Maki gave the cashier $50 to pay for 3 necklaces. The cashier gave her $4.25 in change. If each necklace cost the same amount, what is the cost in dollars and cents for each necklace?
Answer:
15.25
Step-by-step explanation
We can make an equation based on the data. 3x + 4.25 = 50
3x = 45.75
x = 15.25
Answer:
15.25
Step-by-step explanation:
1 x 1
2 x 2
4 x 4
16 x 16
200 x 19.56
Answer:
we should solve it or what should we do...
Explain why three-dimensional graphs can be misleading. What would be a better type of graph to
use?
three-dimensional graphs wouldn´t give you the right information but two-dimensional graphs would give you the actual size of the shape.
can someone explain to me how to do this
Answer:
x=45
Step-by-step explanation:
We know that 2y+6 and 8y-102 are vertical angles to each other. This means that 2y+6=8y-102. [tex]6y=108[/tex], which means that y=18. [tex]2\cdot(18)+6=36+6=42[/tex]. Since one line is a straight angle, it is 180 degrees we can do [tex]3x=180-45=135[/tex], so x=45.
Answer:
y = 18
x = 46
measures of the angles:
8y - 102 = 42
2y + 6 = 42
3x = 138
Step-by-step explanation:
So first remember the verticle angles theorem, which states that, when two lines intersect there will be four angles formed; the angles that are opposite from each other will be congruent, that is, they will have the same measure.
Using this we know that opposite angles have to be congruent:
so
(2y + 6) = (8y -102)
now there is an algebra equation that can be solved by inverse operations and simplifying
2y + 6 = 8y - 102
+102 +102
2y + 108 = 8y
-2y -2y
108 = 6y
/6 /6
18 = y
Also, remember that two adjacent angles that form a line will add up to 180,
so
3x + (2y + 6) = 180
*note: I could have also used (8y - 102) but I choose to use (2y + 6)
so now substitute in the value of y that was found
y = 18
3x + (2 * 18 + 6) = 180
simplify
3x + ( 36 + 6) = 180
3x + 42 = 180
now use inverse operations
3x + 42 = 180
-42 -42
3x = 138
/3 /3
x = 46
( need help asap for a test) Ms. Smith bought a 5 pound bag of candy for her 6th grade classroom. She gave away 2 pounds of candy to her students during the first unit of instruction and ate 6 ounces of candy during planning.
(16 ounces = 1 pound)
How many ounces of candy does Ms. Smith still have in her bag?
A.
38 ounces
B.
42 ounces
C.
48 ounces
D.
54 ounces
Answer:
c
Step-by-step explanation:
5-2=3 3•16=48 48-6=42
Three girls cut out decimal models of hundredths. Amber doesn't shade any of her models. Grace qualifies three fifths of a model. Marsha shades one model and seven-tenths of another model. What decimal represents the number of shadows of each girl? Click on the icon to view the decimal models of hundredths. The decimal represents the number of shades of amber. The decimal represents the quantity that represents the quantity that Marsha qualifies. Tones of grace. The decimal (write whole numbers or decimals).
Answer:
[tex]Amber = 0[/tex]
[tex]Grace = 0.60[/tex]
[tex]Marsha =1.70[/tex]
Step-by-step explanation:
Given
Decimal Grid = Hundredths
[tex]Amber = None[/tex]
[tex]Grace = \frac{3}{5}th[/tex]
[tex]Marsha = 1 + \frac{7}{10}th[/tex]
To solve for each:
We have:
For Amber:
[tex]Amber = 0 * 100[/tex]
[tex]Amber = 0[/tex]
For Grace:
[tex]Grace = \frac{3}{5}th[/tex]
[tex]Grace = \frac{3}{5} * 100[/tex]
[tex]Grace = \frac{300}{5}[/tex]
[tex]Grace = 60[/tex]
This means that Grace shaded 60 of the hundredth models.
Decimal shaded is:
[tex]Grace = 60 * \frac{1}{100}[/tex]
[tex]Grace =\frac{60}{100}[/tex]
[tex]Grace = 0.60[/tex]
For Marsha:
[tex]Marsha = 1 + \frac{7}{10}th[/tex]
[tex]Marsha = \frac{10 + 7}{10}th[/tex]
[tex]Marsha = \frac{17}{10}th[/tex]
[tex]Marsha = 1.7th[/tex]
Multiply this by 100, to get the number of shaded
[tex]Marsha = 1.7 * 100[/tex]
[tex]Marsha = 170[/tex]
This means that Marsha shaded 170 of the hundredth models.
Decimal shaded is:
[tex]Marsha = \frac{170}{100}[/tex]
[tex]Marsha =1.70[/tex]
There are 2 computers for every 3 iPads in this technology room
Answer:
The Ans Is 2:3
Step-by-step explanation:
f(x)= 3x^2-7 over
4x^2-3
-find f(2)
Answer:
5/13
Step-by-step explanation:
f(x) = [tex]\frac{3x^{2}-7 }{4x^{2}-3 }[/tex]
Substitute x for 2.
[tex]\frac{3(2)^2-7}{4(2)^2-3}[/tex]
Solve
[tex]\frac{3(4)-7}{4(4)-3}[/tex]
[tex]\frac{12-7}{16-3}[/tex]
f(2)= [tex]\frac{5}{13}[/tex]
The value of f(2) is 5/29.
What is Function?In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.
Given:
f(x) = 3x² -7/ 4x² - 3
Now, find the value of the function at x= 2
So, f(2)= 3(2)² -7/ 4(2)² - 3
f(2) = 3 x 4 -7 / 4 x 8 - 3
f(2) = 5/29
Hence, the value of f(2) is 5/29.
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Which equation has a constant of proportionality equal to ?
1/2
Choose 1 answer:
Answer:it’s c or 3/6
Step-by-step explanation:
Answer:
C. y = 3/6x
Step-by-step explanation:
The number by the x is the constant of proportionality. 3/6 is the same thing as 1/2, because when you divide the numerator and denominator by 3 it equals to 1/2.
-x + 7 <10
Solving inequalities
Answer:
x>-3
Step-by-step explanation:
−x+7<10
Step 1: Subtract 7 from both sides.
−x+7−7<10−7
−x<3
Step 2: Divide both sides by -1.
−x−1<3-1
x>−3