Answer:
x = -135/7 or -19.3 (rounded to the tenths)
Step-by-step explanation:
-2(2x+60)-2x=-2(1/5x+6)
First Distribute:
−4x+−120+−2x= −2/5 x+−12
Add Like Terms:
-6x-120= -2/5 x-12
Add -2/5x to each side:
−28 /5 x−120=−12
Add 120 to each side:
−28 /5 x =108
Multiply by (5/-28):
x = -135/7 or -19.3
Answer:
x = -135/7 or -19.3 (✿◠‿◠)
7. Numericals
(a) A box has length 50 cm, breadth 20 cm and height 10 cm, then find
(i) its surface area of base;
(ii) its volume
(1000 cm², 100000 cm3)
Answer:
i = 1000cm2
ii = 100000cm3
Step-by-step explanation:
for q i
surface area of base = l* b
= 50* 20
1000cm^2
for q 2
volume l*b*h
= 50*20*10
= 100000cm^3
hope it will be helpfull
Suppose the equation of line t is y=x
Answer:
Hi
Step-by-step explanation:
What is 5.6 x 10 to the 5th power in standard notation ?
A. 0.000056
B. 560,000
C. 5.6 to the 5th power
D. 5,600,000
Answer:
B. 560000
Step-by-step explanation:
You move the decimal over 5 times to the right and there is your answer
Question 4 of 32 Jacob is a construction worker who earns a yearly income given by the expression 2000x + 3000, where x is the number of hours he works each week. Carlos works with Jacob and earns a yearly income given by the expression 3800x – 40000. A manager predicts that if Carlos and Jacob each work 35 hours, they will earn the same amount of money.
PART A:The number of hours that makes the equation true is
Options: 24, 27, 29,31,34
PART B:Round your answer to the nearest whole number. The manager's prediction is
Options: equal to, less than, greater than
the actual number of hours that Carlos and Jacob need to work to earn the same amount of money.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the expression :
Jacob's yearly income :
2000x + 3000 ; x = number of hours worked per week.
Carlos income :
3800x - 40000
Managers prediction = 35
Jacob.: 2000(35) + 3000 = 73000
Carlos : 3800(35) - 40000 = 93000
Carlos will earn more than Jacob given the manager's prediction.
Number of hours required so they can earn the same amount :
2000x + 3000 = 3800x - 40000
3000 + 40000 = 3800x - 2000x
43000 = 1800x
x = 43000/1800
x = 23.88
x = 24 hours
John bought a new TV. The tag in the shop said it cost £299 + VAT.
If VAT is charged at 20%, how much did he pay (to the nearest penny)?
Answer:
59.8
Step-by-step explanation:
20÷100×299
0.2×299
59.8
Help me solve this problem please please
Answer: D. x > -1
Step-by-step explanation:
Find x. Give reasons to justify your solution.
Answer:
x = 28
Step-by-step explanation:
Okay COB is vertical to AOB, so we know they equal the same. Right the equation this way.
3x + x + x + 12 = 152 (collect like terms)
5x + 12 = 152 (subtract 12 on each side)
5x = 140 (divide by 5 on each side)
x = 28
(PLUG IN)
3(28) + (28) + (28) + 12 = 152
84 + 28 + 28 + 12 = 152
152 = 152
Which of the following equations does not represent the sinusoidal function graphed below?
y = -2sin2x
y = 2sin2x + pi/2
y = 2sin2(x +pi/2 )
y = 2sin(2x + π)
Answer:
y = 2sin2 x + pie/ 2
Step-by-step explanation:
Answer: y= 2sin2(x +pi/2 )
Factor complete x^2 +2x-15
Answer:
( x - 3 ) ( x + 15 )
Step-by-step explanation:
Answer:
3 and 5 , as − 3 + 5 = 2
∴ ( x − 3 ) ( x + 5 )
change 84cm into mm
Answer:
840mm
Step-by-step explanation:
There are 10mm in 1cm, so all you have to do is multiply 84 by 10, which is 840. 84cm=840mm
Have a great day...I hope this helped you :3
Ida needs to hire a singer for her wedding. Singer A is offering his services for an initial $80 in addition to $13.35 per hour. Singer B is offering her services for an initial $86 in addition to 11.65 per hour. When will the two singers charge the same amount for money?
Answer:
The two singers will charge the same amount for money at 3.53 hours
Step-by-step explanation:
Let the number of hours be represented by y
Ida needs to hire a singer for her wedding.
Singer A is offering his services for an initial $80 in addition to $13.35 per hour.
= $80 + $13.35(y)
= 80 + 13.35y
Singer B is offering her services for an initial $86 in addition to 11.65 per hour.
= $86 + $11.65 × y
= 86+ 11.65y
When will the two singers charge the same amount for money?
Singer A = Singer B
80 + 13.35y = 86+ 11.65y
Collect like terms
= 13.35y - 11.65y = 86 - 80
1.7y = 6
y = 6/1.7
y = 3.5294117647 hours
Approximately = 3.53 hours
The two singers will charge the same amount for money at 3.53 hours
Evaluate each using the values given.
x-5-|xz|; use x = 8, and z=-10
A) -67 B) -80
C) -75 D) -77
You earn $9.20 per hour at your summer job. Identify an inequality that represents the number p of hours you need to work in order to buy a smart phone that costs $299. Item 6 Question 1 You earn $9.20 per hour at your summer job. Identify an inequality that represents the number p of hours you need to work in order to buy a smart phone that costs $299.
Answer:
32 hours 30 minStep-by-step explanation:
Given that your hourly pay is $9.20
say that you work for p hours, then your pay will be 9.20p
we know that p is the number of hours worked.
therefore, to earn $299 you will need to work
299=9.20p-------1
Solving for p we have to divide both sides by 9.20
299/9.20=p
p=32.5
So you have to work 32 hours 30 min to earn $ 299
The work is doing 32 hours and 30 minutes to earn $ 299.
Given that:
Your hourly pay is equal to $9.20
Assume that you work for p hours, then your pay will be 9.20p
Also know that p is the number of hours worked.
Therefore, to earn $299 you will need to work
299=9.20p (1)
Solving for p we have to divide both sides by 9.20
299/9.20=p
p=32.5
So, to work 32 hours 30 min to earn $ 299.
Learn more about Divided here:
brainly.com/question/15381501
#SPJ6
Chang rented a truck for one day. There was a base fee of 15.95, and there was an additional charge of 88 cents for each mile driven. Chang had to pay 210.43 when he returned the truck. For how many miles did he drive the truck?
Answer:
221 Miles
Step-by-step explanation:
Since there is a base fee, you substract that from the total.
210.43 - 15.95 = 194.48.
And since it was .88 per mile, you just divide 194.48 by .88 to get 221
Help asap
The soccer team is conducting a fundraiser selling long-sleeved T-shirts for $14 and short-sleeved T-shirts for $10. So far the team has sold less than $200 worth of the two types of T-shirts. Which inequality best represents x, the number of long-sleeved T-shirts they have sold, and y, the number of short-sleeved T-shirts they have sold?
x + y 200
14x + 10y > 200
14x + 10y < 200
Answer:
14x +10y < 200
Step-by-step explanation:
The inequality that represents the given condition is: 14x + 10 y < 200.
What is an inequality?"An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions."
Given, the price per long sleeved t-shirt is $14.
The price per short sleeved t-shirt is $10.
The soccer team has sold less than $200 worth of both types of t-shirts.
Here, the number of long-sleeved t-shirts they have sold is 'x'.
The number of short-sleeved t-shirts they have sold is 'y'.
Therefore, the total price of long sleeved t-shirt sold is = $14 × x = $14x
The total price of short sleeved t-shirt sold is = $10 × y = $10y
Therefore, the required inequality will be:
14x + 10 y < 200
Learn more about an inequality here: https://brainly.com/question/18342668
#SPJ2
Area of dog crate
6 meters and 4 meters
Answer:
24 meters
Step-by-step explanation:
L × W = A6 × 4 = 24 metersI hope this helps!
Answer:
24 meters
Step-by-step explanation:
you do 6 times 4
HELPP PLZ (12 points btw)
Which of the following is most likely the next step in the series?
Use the Distributive Property to simplify 17(2b + 3)
Answer:
34b+51
Step-by-step explanation:
When you distribute, you multiply the number on the outside of the parentheses by everything inside of the parentheses. So...
17(2b+3)
34b+51
Because you can't tell what x is, this is the most simplifying you can do.
Hopefully this helped you out...have an amazing day :3
4[(10-4)2 ÷4]
A.9
B.6
C.12
D.36
Answer:
C.12
Step-by-step explanation:
Answer: C. The answer is 12. Hope this helps.
What is the equation of the following graph
Answer:
y=1 is the equation! :))
Step-by-step explanation:
HELP PLEASE HELP I’m doing geometry please help
Answer:
(4x - 10) + x = 90 degrees
x = 20
Which of the following statements demonstrates the identity property of multiplication?
A.-5(18) = -5(20 - 2)
B. (-4)(1) = 4
C.7.-8=.8.7
D.9.(2.7) = (92) - 7
Answer:
B i think
Step-by-step explanation:
The product of 1 and any number is the number (hence why it is most likely b). But instead of it being 4, it would be -4 because multiplying a negative by a positive results in a negative.
Find the product.
-10 X (-3) X9 =
Answer:
270
Step-by-step explanation:
[tex] - 10 \times ( - 3) \times 9[/tex]
[tex]30 \times 9[/tex]
[tex]270[/tex]
Answer:
The answer is Answer = 270x
which of the rational numbers -11/28,-5/7,9/-14,29/-42
is the greatest?
Answer: -5/7
Step-by-step explanation:
-11/28 = -0.39
-5/7 = -0.71
9/-14 = -0.64
29/-42 = -0.69
Out of these, -5/7 is the greatest rational number, even if they are all negative.
Hope this helps!
How do you describe sequences
A local band is being paid $250 for performing, they receive $2 for each ticket sold.
The chart shows the bands total pay for the first 5 tickets sold.
Tickets sold: Bands pay
1 $250+$2(1)
2 $250+$2(2)
3 $250+$2(3). 4 $250+$2(4)
5 $250+$2(5)
Write an expression for the bands total pay for x number of tickets sold.
Answer:
$250+$2(x) = Total amount paid
Step-by-step explanation:
$250 is the initial amount. They earn $2 per person. The $250 is a flat amount that doesn't change. $2 is paid per person, so you multiply $2 by the amount of tickets sold.
$250 + $2(x) = Total amount paid
A different store needs to make at least $20,000 to make a profit in March. They average $685 a day for the month. James used rounding and estimation to say, "$685 is almost $700. $700 × 30 days is $21,000. I think it is going to be a close call!" What do you think?
Answer: James is right
Step-by-step explanation:
Since they average $685 a day for the month. This means for the month, they'll make:
= $685 × 30
= $20,550
Approximating $20,550 will give $21000 and since James used rounding and estimation to say, "$685 is almost $700 and $700 × 30 days is $21,000. James is quite correct.
x3y2-1/4x please solve it fast
Answer:
(x,y) = (0, 1/3)
Step-by-step explanation:
[1] 2x + 3y = 1
[2] 4x - 6y = -2
Graphic Representation of the Equations :
3y + 2x = 1 -6y + 4x = -2
Solve by Substitution :
Solve equation [2] for the variable x
[2] 4x = 6y - 2
[2] x = 3y/2 - 1/2
Plug this in for variable x in equation [1]
[1] 2•(3y/2-1/2) + 3y = 1
[1] 6y = 2
Solve equation [1] for the variable y
[1] 6y = 2
[1] y = 1/3
By now we know this much :
x = 3y/2-1/2
y = 1/3
Use the y value to solve for x
x = (3/2)(1/3)-1/2 = 0
Carson was shopping online for bow ties to wear with his school uniform he bought a certain number of ties that each cost $12.50 and paid a flat rate of 19 for shipping and handling he has 220 in his bank account before buying the tie write the expression to represent how much money Carson spell on low tide be sure to Define your variable
Given :
Carson was shopping online for bow ties to wear with his school uniform he bought a certain number of ties that each cost $12.50 and paid a flat rate of 19 for shipping and handling.
He has $220 in his bank account before buying the tie.
To Find :
Maximum number of ties he can buy.
Solution :
Let, price of buying x ties is y.
y = 19 + (12.50)x
It is given that he has $200 in his bank account.
So, price of buying tie ≤ $200
y ≤ 200
19 + (12.50)x ≤ 200
(12.50)x ≤ 200 - 19
x ≤ 14.48
Since, number of tie cannot be in decimal.
x ≤ 14
Therefore, maximum tie he can buy is 14.
Hence, this is the required solution.
On their last history test, Eric scored five more than twice the points that his friend Josh did. If they scored 134 points altogether, find Eric’s score
plz i need help ASAP
Answer: Eric got a 91
Step-by-step explanation:
Make two equations:
We know Eric scored 5 points more than 2 times Josh’s score. E=Eric J=josh
Equation: E = 5 + 2(J)
E + J = 134
Solve for E:
J= 134 - E
Plug it into first equation: E= 5+ 2(134-E)
E= 5+(268-2E) add 2E from each side
E+ 2E = 268 + 5 reduce
3E = 273 divide by 3 to find Eric score
E= 91
You can plug it back in to find what josh received 134-91 = 43
To fact check if you multiple josh score of 43 by 2 you receive 86 which is indeed 5 points lower that 91 so it’s correct.