Answer:
Find the GCD (or HCF) of numerator and denominator. GCD of 18 and 15 is 3.
18 ÷ 315 ÷ 3.
Reduced fraction: 65. Therefore, 18/15 simplified to lowest terms is 6/5.
Which expression is equivalent to
Step-by-step explanation:
(cubic root (x²))⁶ = (x^2/3)⁶ = x^2×6/3 = x^12/3 = x⁴
Jake fills a tank that can hold 200 gallons of water. The tank already has 50 gallons of water in it when Jake starts filling it at the rate of 10 gallons per minute. Karla fills a tank that can hold 300 gallons of water. That tank already has 100 gallons of water in it when Karla starts filling it at the rate of 5 gallons per minute. Jake and Karla start filling the tanks at the same time. How long after they start filling the tanks do the tanks have the same volume of water? What is that volume of water? I
Answer:
Let m represent the number of minutes.
Amount of water in Karla's tank: 100 + 5m
Amount of water in Jake's tank: 50 + 10m
Same amount of water: 100 + 5m = 50 + 10 m
---> 100 = 50 + 5m
---> 50 = 5m
---> 10 = m
In ten minutes, Karla's tank will have 100 + 5(10) = 100 + 50 = 150 gallons.
In ten minutes, Jake's tank will have 50 + 10(10) = 50 + 100 = 150 gallons.
Step-by-step explanation:
hope this helped!
How many 1/5 are in 3 1/2?
Answer:
17 1/2
Step-by-step explanation:
3 1/2 / 1/5=17 1/2
Which of the following is an irrational number?
A
64−−√
B
90−−√
C
25−−√
D
169−−−√
please help
Answer:
sqrt(90) is irrational
Step-by-step explanation:
sqrt(64) = 8
sqrt(90) = 3 sqrt(10)
sqrt(25) =5
sqrt(169)=13
The only one that is not simplified to an integer is sqrt(90)
sqrt(90) is irrational
9.43
9.43
15
15
16
© 2018 StrongMind. Created using GeoGebra.
What is the area, in square units of the composite figure?
Enter your answer as a number, like this: 42
Answer:
280
Step-by-step explanation:
first, find the area of the triangle
formula: 1/2 (base × height)
so the area of the triangle is
= 1/2 (16×5)
= 1/2 (80)
= 40
then, find the area of the rectangle
formula: length × breadth
the area of the rectangle is
= 15 × 16
= 240
the area of the composite figure is the sum of the areas of the triangle and rectangle
= 40 + 240
= 280
HELP ASAP PLZ
just answer the blanks
Answer:
i hope this helps!
Step-by-step explanation:
May I please receive help?
First, we know that a² + b² = c². We will just be using this in a different way! b² = c² - a²
b² = 32² - 28²
b² = 1024 - 784
b² = 240
b = 15.49
Hope this helps!
Find the equation of the line passing through the points (-1,7) and
(2,-8). Write the equation in slope-intercept form.
A) y = -5x + 2
B) y = -5x + 7
C) y = 5x + 12
D) y = 5x – 18
Please help
A principal of $2900 is invested at 4.25% interest, compounded annually. How much will the investment be worth after 7 years?
Let S = Sum after 13 years
So = amount invested
t = time in years
i = annual interest rate = .0325
The S = So(1+i)t = $2,200(1.0325)13 = $3,334.21
please can someone help with this
Answer:
true
false
true
true
Step-by-step explanation:
A.
For lines p and q, angles 2 and 3 are corresponding angles, so A is true.
B.
Angles 5 and 7 hare note corresponding angles or alternate interior angles. B is false.
C.
For lines r and s, angles 2 and 4 are corresponding angles, so C is true.
D.
For lines r and s, angles 5 and 6 are alternate interior angles, so D. is true.
82. complete the check register for rob anderson. it has a previous balance of $175.40. He wrote check number 312 for $24.39 on November 22 to the barkber shop. The bank made an automatic transfer (AT) of $65.21 on November 25 to pay is cable bill. He made a deposit of $381.22 on November 27. What is the new balance in rob's account?
Answer:
$466.62
Step-by-step explanation:
Balance = $175 - $24.39 - $65.21 + $381.22
Use your calculator to add or subtract each new term as indicated:
$175 - $24.39 = $150.61
Next, subtract $65.21: $150.61 - $65.21 = $85.40
Finally, add $381.22: $85.40 + $381.22 = $466.62
on November 27 the new balance in rob's account became $466.62.
The value of 63 is between what two numbers?
V
O 62 and 64
O 31 and 32
O 7 and 8
0 3 and 4
Answer:
62 and 64
Explanation:
As easy as counting,
62, 63, 64
Evaluate the determinate:
I 5 3 3 I
I -4 -5 1 I
I 5 3 0 I
Please show work... I will give Brainliest.!
Answer:
39
Step-by-step explanation:
detailed explanation showed in the diagram above
Chen
An architect designs two similar triangular patos. The first patio has angle measures of (x-30), (y+15), and 60 The second patio has angle measures of X -10 40° and 80°
The values of x and y are 50 and 35 respectively.
The corresponding angles of similar triangles are equal. Therefore,
The first patio angles are:
x + 10
y + 15
70°
The second patio angles are ;
x + 20
50°
60°
Therefore,
x + 20 = 70
x = 70 - 20
x = 50
y + 15 = 50
y = 50 - 15
y = 35
What is 2/3 divided by 4/9?
Answer:
3/2.Step-by-step explanation:
2/3 ÷ 4/9=> 2/3 x 9/4=> 18/12=> 3/2Conclusion:
Therefore, 2/3 divided by 4/9 is 3/2.
Hoped this helped.
[tex]GeniusUser[/tex]
Answer: 1 1/2
Step-by-step explanation: 2/3/4/9
(2/3)(9/4) 18/12/6/6 3/2 1 1/2
f(x)=−2x^2+2x−20
Find f(−8)
Answer: -164
Step-by-step explanation:
Answer:-164
Step-by-step explanation:
−2(−8)
2
+2(−8)−20
Plug into each x-value
−
2
(
64
)
+
2
(
−
8
)
−
20
−2(64)+2(−8)−20
Square first
−
128
−
16
−
20
−128−16−20
Multiply
f
(
−
8
)
=
−
164
f(−8)=−164
One package of blueberries cost $3. How many packages of blueberries can you buy for $9?
Round the answer to the nearest whole number!
Answer:
3 packages
Step-by-step explanation:
To find how many packages you can buy for $9, you have to divide 9 by 3.
Since each package costs $3.
So, 9/3 = 3
So you can buy 3 packages of blueberries.
Answer:
3 Packages
Step-by-step explanation:
1 package costs $3
2 packages cost $6 (because 3+3=6)
3 packages cost $9- And we have exactly $9 so we can buy 3 packages.
En la estrella la
suma de los cuatro
números de la línea
es la misma. ¿Cuáles
son los valores de: b
y c?
Sabiendo que en la estrella la suma de los cuatro números de la línea es la misma, la respuesta correcta es la opción c) los valores de b y c son 9 y 8 respectivamente.
En primer lugar, sabes que en la estrella la suma de los cuatro números de la línea es la misma.
Por lo que es conveniente escoger aquella línea en donde todos los valores son conocidos, de manera de poder estimar el valor de la suma. De esta manera, se calcula:
12 +1 +2 +15= 30
Entonces la suma en todas las líneas debe dar como resultado 30.
Para calcular el valor de c y d, es preferible elegir aquellas líneas en donde solo aparezca b y donde solo aparezca c.
Entonces, escogiendo aquella línea donde se tiene como incógnita sólo el valor de b y sabiendo que debe sumar 30, se tiene:
12 + (8-3) + 4 + b= 30
Resolviendo:
12 + 5 + 4+ b= 30
21 + b=30
b= 30 - 21
b= 9
Por otro lado, eligiendo aquella línea donde se tiene como incógnita sólo el valor de c y sabiendo que debe sumar 30, se tiene:
15 + 3 +4 + c= 30
22 + c= 30
c=30 - 22
c= 8
Finalmente, se decide verificar en aquellas líneas donde aparecen ambos valores de c y d, o aquellas líneas que no se hayan utilizado previamente, de manera que sumen 30. Entonces:
Primera verificación: 2c +2 +3 +b= 2×8 +2 +3+ 9= 16 +2 +3+ 9= 30
Segunda verificación: 2c +1 +(8-3) +c= 2×8 +1 +5+ 8= 16 +1 +5+ 8= 30
De esta manera se comprueba que en todas las líneas de la estrella la suma de los cuatro números es la misma.
En resumen, la respuesta correcta es la opción c) los valores de b y c son 9 y 8 respectivamente.
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While diving, Winston stopped at a point located halfway between his deepest dive and the ocean’s surface. At what elevation was Winston when he stopped halfway? PLzzzzzz HURRRY UUUPPP Ill give whoever answers this RIGHT NOW 100pts, no joke
Answer:
im pretty sure that the answer is -50.5 feet.
Step-by-step explanation:
if there is 26.5 g of sugar in 250ml, how much in 200 ml
Solve for x.
z=(x-8)k
Answer:
z/k + 8 = x
Step-by-step explanation:
z=(x-8)k
Divide both sides by k
z/k = x - 8
Add 8 to both sides
z/k + 8 = x
what is the transformation of f(x)=|x-9|
Answer: X=9
Step-by-step explanation:
Answer:
f(x) = x-9 {9 < x}
f(x) = 0 {x = 9}
f(x) = -x - 9 {x < -9}
Step-by-step explanation:
I'm not too sure what transformation you want. However,,,
f(x)=|x-9| can be changed to function
f(x) = x-9 {9 < x}
f(x) = 0 {x = 9}
f(x) = -x - 9 {x < -9}
without absolute value.
What is the measure of Segment AB if Segment BD is 10?*
Answer:
10
Step-by-step explanation:
all sides of square are the same
Determine which postulate or theorem can be used to prove that ASEA = A PEN E O A. ASA OB. SSS O C. AAS O D. SAS
Answer:
asa is the correct answer
The postulate or theorem can be used to prove that triangles are congruent is ASA rule.
What are congruent triangles?Two triangles are said to be congruent when they have congruent corresponding parts.
Given is a figure having two triangles, we need to find the rule, that can prove that both the triangles are congruent,
∠ S ≅ ∠ P [given]
∠ SEA ≅ ∠ PEN [vertically opposite angles]
SE ≅ EP [given]
∴ Δ SEA ≅ Δ PEN by ASA rule
ASA rule :-
If any two angles and the side included between the angles of one triangle are equivalent to the corresponding two angles and side included between the angles of the second triangle, then the two triangles are said to be congruent by ASA rule.
Hence, the postulate or theorem can be used to prove that triangles are congruent is ASA rule.
Learn more about congruent triangles click;
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can anyone please help me with this really quick
Answer:
90
Step-by-step explanation:
The sum of three numbers is equal to 185, so we can start with this equation, where x is the first number, y is the second, and z is the third:
x + y + z = 185
They tell us that y is 5 times greater than x, so we can insert that equation in for y in the original equation:
x + (5x) + z = 185.
And we are told z is 13 less than y, so we can insert that equation as well by using the equation before:
x + (5x) + (5x-13) = 185
So now we can combine like terms and solve for x.
6x + 5x - 13 = 185
11x - 13 = 185
11x = 198
x = 18
But we're not done, we still need to solve for the second number, which is y. So we insert the number for x into the original equation we have for y, which is that it's 5 times greater than x:
y = 5x
y = (5*18)
y = 90
What is the value of x?
Answer:
Option D is correct.
Step-by-step explanation:
We can tell that
[tex]4x + \frac{x}{2} + 2 + \frac{3x-4}{2} = 180[/tex]Now, let's simplify.
=> [tex]4x + 2 + \frac{4x-4}{2} = 180[/tex]
=> [tex]4x + 2 + 2x-2 = 180[/tex]
=> [tex]4x + 2x = 180[/tex]
=> [tex]6x = 180[/tex]
=> [tex]x = 30[/tex]
Therefore, Option D is correct.
Hoped this helped.
mai has 36$ to spend on movie tickets each movie ticket cost 4.50$ how many ticket can she buy multiplication problem
Answer:
8
Step-by-step explanation:
Mai has $36 and each movie ticket is $4.50.
You wanna divide 36 by 4.50 to find out how much tickets she can purchase which is 8.
help mee plss 5 mins
Answer:
20 ft
Step-by-step explanation:
It is 20 ft because you use pathagoren therom.
a^2 + b^2 = c^2
Answer:
The question cut off but I'm assuming this is basically just a find the area of the shaded region type of question. First thing you need to do is calculate the areas of the right triangle and the rectangle. Subtract the area of the triangle from the area of the rectangle.
Area of rectangle: 8 x 7 = 56ft^2
Area of the triangle: (6 x 2)/2 = 6ft^2
Subtract 6ft^2 from 56ft^2 and you get:
56 - 6 = 50ft^2
Area of shaded region is 50ft^2
if 18 plums weigh 54 ounces then 27 plums weigh x ounces
Answer:
81 ounces
Step-by-step explanation:
Divide 54 by 18 to find the weight of 1 plum then multiply this by 27.
54 ounces ÷ 18 = 3 ounces , then
27 plums = 27 × 3 = 81 ounces
Find the domain and range of this mapping diagram.
Answer:
Domain: 3,4,5,6
Range: 7,9,11,13
Pairs: (3,7), (4,9), (5,11), (6,13)
Step-by-step explanation: