Answer:
[tex]\Large \boxed{\mathrm{12. \ 54}}[/tex]
[tex]\Large \boxed{\mathrm{13. \ -7.6}}[/tex]
Step-by-step explanation:
|54|
Solve for absolute value.
Apply rule : |a| = a
|54| = 54
-|-7.6|
Apply rule : |-a| = a
-|-7.6| = -7.6
Answer:
12: 54 and 13: -7.6
Step-by-step explanation:
The absolute value of a number is basically the distance it is from 0. For example, |1| = 1. There is a "rule" for absolute value, if a number x ≥ 0, then |x| = x but if x < 0, then |x| = -x. This is because absolute value is always positive, and if a number is negative, all you have to do to make it positive is multiply it by -1. Therefore, the answer for 12 is 54 since x > 0 in this case. To find the answer to 13, we know that |-7.6| = -(-7.6) = 7.6. -(7.6) = -7.6.
Write a problem based on the given information.
P = Cost of dinner
0.15p = cost of a 15% tip
P + 0.15p = 23
Answer:
The cost of dinner plus a 15% tip was $23. How much is the dinner?
the cost of the dinner = $20
Step-by-step explanation:
Given that:
p= cost of dinner
0.15p = cost of a 15% tip
p + 0.15 p = 23
The objective is to represent this problem in words based on the given information.
From above, we can say that:
The cost of dinner plus a 15% tip was $23. How much is the dinner?
SO;
p + 0.15 p = 23
1.15 p = 23
Divide both sides by 1.15
p = 23/1.15
p = 20
Therefore, the cost of the dinner = $20
Pls help me find the answer...
Answer:
m∠ABC = 30°Step-by-step explanation:
m∠BAD = 0.5m∠BCD = 0.5•126° = 63°
The angles in quadriteral add to 360°, so:
m∠ABC + m∠BAC + m∠ACD + reflex m∠BCD = 360°
m∠ABC + 63° + 33° + (360° - 126°) = 360°
m∠ABC + 96° - 126° = 0
m∠ABC = 30°
What are the coordinates of graphs origin?
Answer:
nose que sad es tu vida
Step-by-step explanation
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A submarine was situated 760 feet below sea level. If it goes 320 feet up and then down 80 feet, what is the submarines new position?
Answer: -760+320-80=-520 (feet below sea level)
Step-by-step explanation: The submarine is 760 feet below sea level making the number negative. Then it says if it goes up 320 feet and then down 80 feet, your going to add 320 feet but then subtract 80 feet to get your position
12x - 15=6 - 3x
what value of x makes this equation true
Answer:
1.4
Step-by-step explanation:
12x - 15 = 6 -3x
12x +3x = 6 +15
15x = 21
x = 1.4
The current value of a baseball card is 60 times its original value v (in dollars). The baseball card is worth $15. Write and solve an equation to find the original value of the baseball card. Equation: =15 Original value: $
Answer:
0.25
Step-by-step explanation:
From the information given, you can say that the current value of a baseball card is equal to 60 multiplied for its original value and the equation is:
c=60v, where: c is current value and v is original value
Now, you can replace the current value with 15 that is the value of the baseball card and solve for v:
15=60v
v=15/60=0.25
According to this, the original value of the baseball card is 0.25.
A wheelchair ramp is 4.2 meters long. it rises up 7.0 meters. what is the angle of elevation to the nearest tenth of a degree?
=======================================
Work Shown:
I'm assuming your teacher meant to say the ramp is 7 meters long and the ramp rises up 4.2 meters. It doesn't make sense the way they phrased it initially since the ramp must be the longest part (it is the hypotenuse of the right triangle).
See diagram below.
The angle of elevation is the angle made between the ramp and the ground. It's the angle amount the ramp tilts upward.
sin(angle) = opposite/hypotenuse
sin(theta) = 4.2/7
sin(theta) = 0.6
theta = arcsin(0.6)
theta = 36.869897645844
theta = 36.9
Note: inverse sine or [tex]\sin^{-1}[/tex] is the same as arcsine. Make sure your calculator is in degree mode.
Find the area of the parallelogram.
a. 70cm
b. 80 cm
c. 224 cm
d. 60 cm
Answer:
c. 80 cm
Step-by-step explanation:
Area of a parallelogram = base × height
A = 16 cm × 5 cm
A = 80 cm
Answer:
b. 80 cmStep-by-step explanation:
[tex]Base =16\\Height =5\\Area = Base\times Height\\= 16 \times 5\\= 80cm[/tex]
A number K is such that when it is divided by 27,30 or 45,the remainder is 3.
Find the smallest possible value of k.
Solution :-
First of all we have to find out the least common multiple of the given three numbers.
27 , 30 and 45
27 = 3 x 3 x 3
30 = 2 x 3 x 5
45 = 3 x 3 x 5
Form these factors we have to find the numbers which are common in all the three .
LCM = 2 x 3 x 3 x 3 x 5 = 270 .
Now 270 is completely divisible but the number which we want leaves 3 as remainder.
So adding 3 in 270 .
→ 273 is the required answer.
A school choir needs to make T Shirts for its 75 members and has set aside some money in their budget to pay for them. The members of the choir decided to order from a printing company that charges $3 per shirt, plus a $50 fee for each color to be printed on shirts. Which equation represents the relationship between the number of T-shirts orders, the number of colors on shirts and the total cost of the order. D = 3T + 50C D = 3(75) + 50C D = 3(75) + 50 D= 3(75)
Answer:
D = 3(75) + 30CStep-by-step explanation:
If a school choir needs to make T Shirts for its 75 members and the printing company charges $3 per shirt, the total amount paid for shirts without coloured printing will be $3 * 75 = 3(75) ... 1
If the printing company charges $50 fee for each color to be printed on shirts, then the total number of colours on the short will cost $30C.... 2
where C is the total amount of colours on all the shirts.
The equation that will represents the relationship between the number of T-shirts orders, the number of colors on shirts and the total cost of the order will be gotten by taking the sum of equation 1 and 2.
The equation needed will be 3(75) + 30C where C is the total amount of colours on all the shirts ordered.
7n +9 = -1+6(n+4)
can someone walk me through this please?
Answer:
n = 14
Step-by-step explanation:
7n +9 = -1+6(n+4)
Distribute
7n+9 = -1 +6n+24
Combine like terms
7n +9 = 6n +23
Subtract 6n from each side
7n -6n+9 = 6n-6n +23
n+9 = 23
Subtract 9 from each side
n+9-9=23-9
n = 14
The sides of a rectangle are 8cm and 6cm. What is the length of the diagonal. 12cm 10cm 9cm 7cm
Answer:
10 cm
Step-by-step explanation:
The diagonal d divides the rectangle into 2 right triangles with legs 8 and 6 and hypotenuse d
Using Pythagoras' identity in one of the right triangles, then
d² = 8² + 6² = 64 + 36 = 100 ( take square root of both sides )
d = [tex]\sqrt{100}[/tex] = 10 cm
Answer:
[tex]\huge\boxed{c = 10\ cm}[/tex]
Step-by-step explanation:
Using Pythagorean Theorem
[tex]c^2 = a^2 + b^2[/tex]
Where c is the length of diagonal, a and b are the length of the rest 2 sides
=> [tex]c^2 = 8^2+6^2[/tex]
=> [tex]c^2 = 64 + 26[/tex]
=> [tex]c^2 = 100[/tex]
Taking sqrt on both sides
=> c = 10 cm
Let me know if you can answer these :)
Answer:
10. 285
11. [tex]6\frac{3}{4}[/tex]
16.a. Stiles Family
Reason-The Styles family uses twice as much as the other two, because the electric consumption per person (which is =745 KWh) is much higher than the other two.
16.b. Mendelez family
Reason-The Mendelez family uses the least amount of water, because the water usage per person (which is =875 gallons) is much lower than the other two.
Step-by-step explanation:
10. In 6 mins, no. of machine parts produced = 114
in 1 min, no. of machine parts produced = 114/6
in 15 min, no. of machine parts produces [tex]\frac{114 *15}{6}\\=285[/tex]
---------------------------------------------------------------------------------------------------------
11. To make 8 jumbo muffins take, amount of baking powder used = [tex]1\frac{1}{2} =\frac{3}{2}[/tex]
To make 1 jumbo muffin, amount of baking powder used = [tex]\frac{3}{2} / 8[/tex] =3/16
To make 3 dozens = (3 * 12 )= 36 muffins, amount of baking powder used = 36 *3/16
[tex]=\frac{27}{4}[/tex] =[tex]6\frac{3}{4}[/tex]
-------------------------------------------------------------------------------------------------------------
16. a. Electricity consumed by 1 person in the Mendelez family :
=1560/4
=390 KWh
Electricity consumed by 1 person in the Barton family:
=2130/6
=355 KWh
Electricity consumed by 1 person in the Styles Family:
=1490/2
=745 KWh
The Styles family uses twice as much as the other two, because the electric consumption by 1 person is much higher than the other two.
------------------------------------------------------------------------------------------------------------
16.b. Water consumed by 1 person in the Mendelez family = 3500/4=875 gallons
Water consumed by 1 person in the Barton family = 6400/6=1050 gallons
Water consumed by 1 person in the Styles family =2500/2=1250 gallons
please solve this que
Answer:
x=5
Step-by-step explanation:
you need to do dirty math stuff for these kind of Q. not hard you just need to do it, or use computer graphs to solve them.
Given the following: f(x)=30x-7;\;g(x)=13-2x;\;and\;h(x)=6xf(x)=30x−7;g(x)=13−2x;andh(x)=6x Complete the following: f(g(x))f(g(x)) 60x-39260x−392 33-6x33−6x -60x+383−60x+383 390-13x390−13x
The composite of functions f(x) and g(x) is given by:
[tex](f \circ g)(x) = -60x + 383[/tex]
What is a composite function?The composite function of f(x) and g(x) is given by:[tex](f \circ g)(x) = f(g(x))[/tex]
In this problem, the functions are:
[tex]f(x) = 30x - 7[/tex]
[tex]g(x) = 13 - 2x[/tex]
Hence, the composite function is:
[tex](f \circ g)(x) = f(g(x)) = f(13 - 2x) = 30(13 - 2x) - 7 = -60x + 383[/tex]
You can learn more about composite functions at https://brainly.com/question/17684028
Simplify (4x − 6) + (5x + 1). 9x + 5 9x − 5 x − 5 −x − 5
Answer:
9x - 5
Step-by-step explanation:
Simplify:
(4x − 6) + (5x + 1) = ⇒ opening parenthesis 4x - 6 + 5x +1 = (4x+ 5x) + (1 -6) = ⇒ grouping like terms9x + (- 5) = ⇒ simplifying like terms9x - 5 ⇒ answerCorrect choice: B. 9x -5
Answer:
9x - 5
Step-by-step explanation:
If a scuba diver is 20 feet under the surface of the water and ascends 8 feet, what is the scuba diver's new location?
Answer:
12ft
Step-by-step explanation:
Because 20-8=12...
Answer:
They are -12 ft or 12 ft below the surface of the water
Step-by-step explanation:
20 feet under the surface of the water
-20
ascends 8 feet
+8
-20+8 = -12
They are -12 ft or 12 ft below the surface of the water
Prove the identity
[tex] \frac{1 + \cos(x) + \cos(2x) }{ \sin(x) + \sin(2x) } = \cot(x) [/tex]
HOPE IT HELPS !!!
Brainliest please
Which answer is equal to
792
-i
1
2
3
Answer:
-i
Step-by-step explanation:
[tex]i^{79}\\ i^{76+3}\\ i^{3}\\-i[/tex]
What is the equation of a vertical line passing through point (3,6)
Answer:
Brainliest!
Step-by-step explanation:
vertical lines is like
|
|
|
so its (3,6)
x=3
Answer:
its really easy the answer is (3,6)
Help!!!!!!!!!!!!!!!!!
Given the relation in the table, what is the product of h(3) and h(5)?
Answer:
3Step-by-step explanation:
h(3) = 1
h(5) = 3
Their products :
[tex]3 \times 1 \\ = 3[/tex]
The sum of two numbers is 6, their difference is 4, find the two numbers. What is their product?
Help as soon as possible. Thanks <3
Answer:
The two numbers are 5 and 1. Their product is 5
Step-by-step explanation:
x + y = 6 (*)
x - y = 4 (**)
Let (*) + (**)
--> (x+y) + (x-y) = 6 + 4
<=> 2x = 10 <=> x = 5
Substitute x= 5
(*) <=> 5 + y = 6
<=> y=1
Answer: (x,y) = (5,1)
Their product: x.y = 5x1 = 5
Maths Answers please
4p-p
Answer:
3pStep-by-step explanation:
4p - p = 4p - 1p = (4 - 1)p = 3p
does a rectangle exist with the given dimensions if y=2 explain pleaseeeeeeeee
Answer:
there is not enough information this question makes no sense if you can give me more info in the comments i can edit my answer
Step-by-step explanation:
Plz help ASAP WILL MARK BRAINLIEST
Answer:
B.
Step-by-step explanation:
3/5 = 0.6
11/26 = 0.423
Answer:
b
Step-by-step explanation:
3/5 ⇒0.6
11/26⇒0.423
option a is wrong as
0.6 is not less than 0.432
option b is correct as
0.6 is greater than 0.4
option c is wrong as
0.6≠0.432
Easy points. 52 x 7?
Answer:
364
Step-by-step explanation:
2✖️7=14
5✖️7=35
because 14 is two digits, you move the one and plus it to 35 which makes 36.
Leave the 4, and it becomes 364.
Answer:
[tex]\Huge \boxed{364}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
52 × 7
52 = 50 + 2
50 × 7 = 350
2 × 7 = 14
Adding 350 and 14,
350 + 14 = 364
[tex]\rule[225]{225}{2}[/tex]
Find the value of x. A. 64 B. 244 C. 74 D. 52
Answer:
A. 64°Step-by-step explanation:
x = 360° - 2•90° - 2•58° = 64°
Which of the following statements about the box plot is true? Min: 4 Max: 16 First Quartile:8 Third Quartile:16
Answer:
Third Quartile: 16
Step-by-step explanation:
In the box plot given, the five-number summary displayed are:
1. Min = 2
2. First quartile = 4
3. Median = 8
4. Third Quartile = 16
5. Max = 20
Therefore, the statement that is true about the box plot is "Third Quartile: 16". All other statements regarding the box plot are incorrect and untrue.
Brainlest to first correct answer1. Which of the following satisfy the requirements of a set? Explain why the
requirements are or are not met.
(a) All the current U.S. Senators from Texas
(b) All the prime divisors of 1987
(c) All the tall people in Mexico
(d) All the prime numbers between 8 and 10
Answer: The sets are:
b and d.
Step-by-step explanation:
A set is a collection of distinct objects, a set must be well defined, and it can contain numbers, people, objects, etc. (sets can contain infinite elements, for example, the set of the real numbers has infinite elements)
A) The current U.S senators from Texas.
Ok, the "current U.S senators from Texas" depend on when this is read. For example, the senators of today will not be the same as the senators in 10 years from now.
So the elements of this set today are not the same as the ones in 10 years, then this is not a well defined set.
A weel defined set in this case, would be:
"The U.S senators from Texas for the year 2020"
So this is a set of numbers, we know that 1987 is a prime number, so the only prime number that divides 1987 is 1987.
Then this set is {1987}
is well defined.
c) All the people in Mexico.
A person is well defined.
So when i say "all the people in Mexico has for now" we can find all those "elements" and make a set with them.
But the people in Mexico change, so the elements of this set actually depend on when this is read, so this is not well defined.
D) Al the prime numbers between 8 and 10.
Well, we do not have any prime number between 8 and 10, so this is an empty set:
{∅}