y= -32
Step-by-step explanation:
step 1: from the first equation you will make X the subject of formula, the equation then becomes;
X= 4-y
2
step 2: substitute X in the second equation, the equation then becomes 5 * [4-y] + 3y = -6
[ 2]
step 3: find the LCM and then cross multiply; 20-5y+6y = -6
2
20+y = -12
y= -12-20
y= -32
What is the sum of all prime numbers beetween 70 to 80?
What is the product of prime numbers immediately before and after 50?
Answer both plz thx....
Answer:
Prime numbers between 70 and 80 are 71,73,79
71+73+79=223
50 =2x5x5=2x5^2
Find the total amount given the original price and tax rate. Round to the nearest cent if necessary.
$15.25,7%
Given:
Original price = $15.25
Tax rate = 7%
To find:
The total amount.
Solution:
We know that,
Total amount = Original price + Tax
According to the question,
Total amount = 15.25 + 7% of 15.25
[tex]\text{Total amount}=15.25+\dfrac{7}{100}\times 15.25[/tex]
[tex]\text{Total amount}=15.25+1.0675[/tex]
[tex]\text{Total amount}=16.3175[/tex]
Round to the nearest cent (two decimal places).
[tex]\text{Total amount}\approx 16.32[/tex]
Therefore, the total value is $16.32.
Can someone tell just the answer
Answer:
Option D is correct .
Step by step explanation:
A function is given to us and we need to find its inverse . The function is g(x) = -2x⁵ - 2.
So for finding its inverse , exachange x with y .
⇒ g(x) = -2x⁵ - 2 .
Let g(x) = y ,
⇒ y = -2x⁵ - 2 .
Replace x with y ,
⇒ x = -2y⁵ - 2
⇒ x + 2 = -2y⁵
⇒ y⁵ = x+2 / -2
⇒ y⁵ = (-1) ( x + 2) / (-1)(-2)
⇒ y⁵ = -x - 2/ 2
⇒ y = ⁵√ [ ( -x -2)/2 ]
Hence the inverse of the function is ,
[tex]\boxed{\red{\bf f^{-1}(x)=\sqrt[5]{\dfrac{-x-2}{2}}}}[/tex]
Hence the correct option is (D) .37.
An express train travelled at a certain average speed from Town X to Town Y which was
150 km away. It then continued its journey to Town Z at an average speed 20 km/h faster than
its initial average speed. Town Ywas 200 km from Town Z. If it took the same time to travel for
both parts of the journey, what was the train's average speed for the first part of the journey?
Answer:
60 km/hr
Step-by-step explanation:
Let the speed at the initial average speed from Town X to Town Y be a.
We are told that it journeyed to Town Z at an average speed 20 km/h faster than its initial average speed. Thus, its average speed here is (a + 20) km/hr.
Town Y was 200 km from Town Z.
Thus, time spent here is;
t_2 = 200/(a + 20)
Time from X to Y is; t_1 = 150/a
We are told that it took the same time to travel for both parts of the journey.
Thus; t_1 = t_2
150/a = 200/(a + 20)
Cross multiply to get;
150(a + 20) = 200a
150a + 3000 = 200a
200a - 150a = 3000
50a = 3000
a = 3000/50
a = 60 km/hr
4 +14 x 17 x 4 + 3
Orders of operations
8/10 lies _____ on number line.
8/10 = 0.8
Therefore, 0.8 (8/10) is put on the number line shown below.
Isaac walks 6/10 of a mile of a mile in 1/5 of an hour. If Isaac’s walking rate remains constant, what is Isaacs walking rate in miles per hour?
Answer:
3 miles per hour.
Step-by-step explanation:
To get his walking rate in miles per hour, we multiply 1/5 by its reciprocal, 5/1. We also multiply 6/10 by 5/1. This gets us 30/10 of a mile in an hour. We can simplify 30/10 to 3. This means he walks at 3 miles per hour.
The volume of the world's oceans is nearly 1.5⋅10^9 cubic kilometers. Write this number in scientific notation.
Answer:
"The World Ocean." The Columbia Encyclopedia. CD-ROM. 2007, 6th Ed. New York: Columbia University Press. "The World ocean has an area of about 361 million sq km (139,400,000 sq mi), an average depth of about 3,730 m (12,230)
Viau, Elizabeth Anne. World Builders: Water on Earth. California State University Los Angeles. 2003.
There are two origins of water: comets (extraterrestrial bombardment) and out gassing (condensation of steam from early volcanism). These processes are continuing today.
Step-by-step explanation:
they finish
There are 4 athletes at a track meet. How many different ways can
first, second, and third?
Answer:
4 ways i think
Step-by-step explanation:
Hope this helps!
Answer:
its 20
Step-by-step explanation:
hope this helps
Which of the following is not a function?
a. (1,1),(2,2), (3,3), (4,4)
b. (2,3), (2,4), (3,3), (3,4)
c (2,4),(4,8).(10,12). (4,10)
d. (2,4), (3,4), (5,4), (6,4)
-20 > -2x + 4 inequality
Step-by-step explanation:
-20 > -2x + 4
2x > 4 + 20
2x > 24
x > 12
or
x ∈ 《12 , + ∞》
-20 > -2x + 4
-20 -4 > -2x
-24 > -2x
-24/-2 < x <inequality changes when you divide by a -ve no. >
12 < x
Write as a power of 10. How did you do it? a) 100 b) 10 000 c) 100 000 d) 10 e) 1000 f) 1 000 000
Answer: ↓↓↓
Step-by-step explanation:
a.) 100 - 10^2
b.) 10,000 - 10^4
c.) 100,000 - 10^5
d.) 10 - 10^1
e.) 1000 - 10^3
f.) 1,000,000 - 10^6
What I do personally is that I count the number of zeros in the number and that is how many powers the ten powers to. Like a, there are two zeros in 100 so its 10 to the power of 2.
Help In math pls this a slope problem
Answer:
D
Step-by-step explanation:
Amy and Ben share £21 between them in the ratio 5 : 2. How much does Amy get?
(Im really sorry I just don't understand ratio.)
Answer:
✑ [tex] \underline{ \underline{ \sf{First ,\: Let's \: learn \: about \: the \: ratio}}} : [/tex]
Let us consider , there are 30 boys and 40 girls in a school. So, the ratio of number of boys to number of girls = [tex] \sf{ \frac{30}{40} = \frac{3}{4} = 3:4}[/tex] and read as 3 is to 4. We can say , the ratio compares two of more quantities of same unit. Until two quantities have same units , it is meaningless to compare by ratio. So, to find the ratio of two quantities , it is necessary to express them in same unit or of same kind. Since , they are in division form. So ,ratio is unit less quantity. Thus , the ratio is a comparison of two quantities of the same kind in division which doesn't have any units. For example : [tex] \sf{ \frac{a}{b}} [/tex] is a ratio and is read as ' a is to b ' in which ' a : is antecedent and ' b ' is called consequent.
✎ [tex] \underline{ \underline{ \sf{Now \: let's \: solve : }}}[/tex]
☪ [tex] \underline{ \sf{Solution}} : [/tex]
£ 21 is to be divided between Amy and Ben in the ratio 5 : 2. So, let Amy get £ 5x and Ben get £ 2x.
Then , According to the question , [tex] \text{5x +2x = 21}[/tex]
Solve for x :
⇝ [tex] \sf{7x = 21}[/tex]
⇝ [tex] \sf{ \frac{7x}{7} = \frac{21}{7} }[/tex]
⇝ [tex] \sf{x = 3}[/tex]
The value of x is 3. Now , substitute the value of x in 5x :
Amy received £ 5x = 5 × 3 = £ 15 .
☥ [tex] \boxed{ \boxed{ \tt{Our \: final \: answer \: is \bold{£ \: 15}}}}[/tex]
Hope I helped ! ツ
Have a wonderful day / night ♡
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the _________ is a number that is multiplied. the number that indicates how many times this number is used as a factor is the ___________
The base is a number that is multiplied. The number that indicates how many times this number is used as a factor is the exponent
For example, the number 2^3 expands out to 2*2*2. We have three copies of the base '2' being multiplied.
Another example: 5^2 = 5*5.
Answer:
The "Factor" is a number that is multiplied. The number that indicates how many times this number is used as a factor is the "Exponent".
Step-by-step explanation:
Example: 7 • 7 can be written as 72, 7 is the base and 2 is the exponent. The exponent 2 means there are two factors.
Hope it helped : )
What is the value of x? B 75° Enter your answer in the box. X=
Answer:
55
Step-by-step explanation:
75+50=125
180-125=55
Simplify: 5d?(3d - 2)
A
8d8 + 3d2
B.
15d3 + 3d
C 15d3 - 10d2
D 8d3-10d?
Please help me answer this question thank you.
Answer:
122°
Step-by-step explanation:
10a + 2° + 5a - 2° = 180° [ being linear pair ]
15a = 180°
a = 180° / 15
a =12°
Now
<XYQ = 10a + 2° = 10 * 12° + 2° = 120° + 2° = 122°
Hope it will help :)
A piece of timber is x cm long. 9 cm is cut off how much is left
Answer:
x-9cm
Step-by-step explanation:
compute
pls help i’ll give you brainliest
Step-by-step explanation:
5x and -7x are like terms
5x-7x+9=-2x+9 and there's your equivalent expression
Answer:
i want to say 7x is the answer
Step-by-step explanation:
because if you add 5x to 9 = to 14 the -7 = to 7x
Which expression is equivalent to 12(4m−2n+4)?
1.2m−n+2
2.2m−2n+4
3.8m−4n+4
4.8m−4n+8
Answer:
1. 2m - n + 2
Step-by-step explanation:
12×4m - 12×2n + 12×4. ( because 12 is multipled by whole bracket)
48m - 24n + 48.
2m - n + 2. (by finding common factor 24)
Brian has reduced his cholesterol level by 13% after his last check up. If his original level was 240, what is his approximate cholesterol level now?
Answer:
208.8
Step-by-step explanation:
240 times 0.87 is 208.8
Which of the following correctly uses absolute value to show the distance between -80 and 15? (5 points)
a
|-80 - 15| = |-95| = -95 units
b
|-80 + 15| = |-65| = 65 units
c
|-80 - 15| = |-95| = 95 units
d
|-80 + 15| = |-65| = -65 units
Answer:
it's answer is b
|-80+15| = |-65| = 65 units
Hope this helps :)
This question is about displacement. Displacement is a set of vectors. So the answer is - can't be + can't be.
so,answer-b
PLEASE HELP!!
Graph the line with the equation
Answer:
Step-by-step explanation:
3 + 7 Is what
A) 10
B) 18
C) 37
Answer:
A)10
Step-by-step explanation:
hope it helps u
A delivery truck drove 52 miles per hour. It took 4 hours to travel between two towns. What is the distance between the two towns? Use the equation dert, where d is distance, r is rate, and t is time. The distance between the two towns is miles.
Answer:
104?
Step-by-step explanation:
52*4 = 208 ÷ 2 = 104
Tell whether the ordered pair (-4,-2) is a solution of the system of linear equations.
Y= 2x+6
Y= -3x-14
What is 4.35 divided by 2.5?
Answer:
1.74
Step-by-step explanation:
which graph could represent a function ? ?
Answer:
The third Graph
Step-by-step explanation:
Using the vertical line test to determine whether or not a graph represents a function. If a vertical line is moved across the graph and, at any time, touches the graph at only one point, then the graph is a function. If the vertical line touches the graph at more than one point, then the graph is not a function.
Answer:
The third Graph
Step-by-step explanation:
Not every straight line will pass the vertical line test. What is the only type of straight line that would fail the vertical line test?
Answer:
Gfdyuihgff hibhhiuuuuyyygfxf. Hugfti. Hffty9
Answer:
vertical line
Step-by-step explanation: