can someone pls help me? :)
Example:
2x + 4x - 3x = 18
6x - 3x = 18 (2x + 4x = 6x)
3x = 18 (6x - 3x = 3x)
x = 6 (18 divided by 3 = 6)
Example:
10s - 4 = 7s + 8
10s - 7s = 8 + 4
3s = 12 (12 divided by 3 = 4)
s = 4
Directions: Solve each of the following equations.
a. Combine like terms
b. Then isolate the variable if necessary
c. Follow rules for signed numbers
1. 15t + 8t - 2t = 16
2. 24m + 24m = 96
3. 26 = 12n + 2n
4. 20a - 3a = 34
5. 170x + 4 = 64
6. 15x - 25 = 200
7. 5s + 3s = 42
8. 10t + 2t = 28
9. 14s + 35s - 7s = 42
10. 124s - 14s + 12s = 12
11. 76x + 23x = 33
12. 140r - 8r - 4r = 216
13. 98c - 99c = 1
14. 104mn + (-84mn) = 36
15. 118j - 234j = 234
Step-by-step explanation:
1 t=16/21
2.m=2
3.n=13/7
4.a=2
5.x=6/17
6.x=15
7.s=21/4
8. t=7/3
9. s=1
10. s=6/61
11. x=1/3
12. r=27/16
13. c=−1
14.m=9/5n
15. j=−117/58
A family eats out at a restaurant and the total for their meals is $73.89. They also pay sales tax of 5.8% and leave a tip for their server. If the family leaves a total of $93, which of the following might be a description of the service they received? a. They left a 10% tip, so the service was probably below average. b. They left a 15% tip, so the service was probably average. c. They left a 20% tip, so the service was probably above average. d. They left a 25% tip, so the service was probably outstanding.
Answer:
C.
Step-by-step explanation:
The sales tax is ≈ 12.74
The total of $93 - (12.74 + 73.89) = 6.37
$6.37 is approximatley 20%
The description of the service they received is
They left a 20% tip, so the service was probably above average.
What is percentage?To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.
let the amount of tax be x.
So, 100% of x = 73.89 x 5.8%
x = 428.562/100
x= 4.285
Now, the tip amount would be
= 93 - 73.89 4.28
= $14.83
Now, the amount of tip in percent is
73.89 / 100 = 14.83 / x
x = 14.83 /0.7389
x= 20.07
x= 20%
Learn more about percentage here:
https://brainly.com/question/24191374
#SPJ5
Sarah would like to hire a clown for her daughter's birthday party. Clown A
is offering his services for an initial fee of $105 in addition to $9 per hour.
Clown B is offering her services for an initial $155 fee in addition to $6 per
hour. When will the two clowns charge the same amount of money? Use a
table to estimate the solution.
The two clowns charge the same amount of money at 16.66 hours.
What is Wages?Payment for work based on hours worked (or sometimes per day or per amount of work done).
Here, let the duration of birthday party be x hours.
For Clown A,
Initial fee = $ 105
Additional charge = $ 9 per hour
Total amount of clown A = $ (9x + 105) ...........(i)
For Clown B,
Initial fee = $ 155
Additional charge = $ 6 per hour
Total amount of clown B = $ (6x + 155) ...........(i)
Now, according to question
9x + 105 = 6x + 155
9x - 6x = 155 - 105
3x = 50
x = 50/3
x = 16.66 hours
Thus, the two clowns charge the same amount of money at 16.66 hours.
Learn more about Wages from:
https://brainly.com/question/14718127
#SPJ1
A ufo has a speed of 3000 km/h the distance between a and b is 7500km. how long will it take for the Ufo to fly from A to B
Please show the formula
Answer:
..........................
any help would be appreciated(brainly for best answer)
Answer:
(See below)
Step-by-step explanation:
m<1 = 180-130= 50 degrees
because <1 and the 130 degree angle are a linear pair so they are supplementary
m<2 = 50 degrees
because <1 and <2 are alternate interior angles so they are congruent
PLEASEEE ITS EASY ALGEBRA 1 ):
Answer:
6, 7, and 8
Step-by-step explanation:
2x/3 + 7 > 11
Subtract 7 from both sides
2x/3 > 4
Multiply both sides by 3
2x > 12
Divide both sides by 2
x > 6
6, 7, and 8 are the ones that work
Consider the equation 3x + 1 = 2x + 5
(a) Why can't you determine whether this equation is true of false?
1.If a number a is always less than another number b, which of the following expressions expresses their relationship?
A.a≤b
B.a≥b
C.a>b
D.a 0
D.x 9
Which of the following sentences is the word equivalent of the expression above?
A.The product between 3 and a number is no less than 9.
B.The product between 3 and a number is greater than 9.
C.The product between 3 and a number is no more than 9.
D.The product between 3 and a number is less than 9.
Answer:
Let's define the symbols:
x < y
means that x is strictly less than y.
x ≤ y
means that x is less than or equal to y.
(both of these signs can be in the other direction, take that in mind).
A) " a is always less than another number b"
Here we should have:
a < b.
a is always less than the other number b.
This is not in the options, so i suppose that there is a mistake in the question.
B) The expression "above" is not shown here, so i will just writhe the correspondent expression for each option, and you can see which one matches with the expression above.
a) "The product between 3 and a number is no less than 9"
3*n ≥ 9.
b) "The product between 3 and a number is greater than 9."
3*n > 9
c) "The product between 3 and a number is no more than 9"
3*n ≤ 9
d) "The product between 3 and a number is less than 9"
3*n < 9
Ava is driving home from college this winter holiday. She travels 60 miles during the 1st hour of her trip. If she continues at the same rate, how many TOTAL hours will it take her to reach her home 330 miles away? 5.5 hours 5.5 hours 5 hours 5 hours 6.5 hours 6.5 hours 4 hours
Answer: 5.5 hours
Step-by-step explanation:
distance/speed = time
330/60 = 5.5
Answer:
Step-by-step explanation:
330/60= 5 1/2 or 5.5 hours total time
Round the following factors to estimate the products
597x52= ____ x____=_____
A reasonable estimate for 597 x 52
Step-by-step explanation:
597 rounding would be 600 while 52 would be 50.
So 600 x 50
= 30,000
4. If the two angles and their non-included side of one triangle is congruent to the two
angles and their non-included side of another triangle, then the two triangles are
congruent by:
a. SAS postulate
b. AAS postulate
c. AAA postulate
d. ASA postulate
If <1=(7−19)°and <2=(+5)°, find the <2
If m<5 = 42° and m<1 = 117°, find m
If M is the midpoint of XY, find the coordinates of X if M(-3,-1) and Y(-8, 6).
Find the distance between the two points. Round to the nearest thousandth.(-8, -2) and (6, -1)
If DE = 4x –1, EF = 9, and DF = 9x –22, find the value of x.
Answer:
We know that the section formula states that if a point P(x,y) lies on line segment AB joining the points A(x
1
,y
1
) and B(x
2
,y
2
) and satisfies AP:PB=m:n, then we say that P divides internally AB in the ratio m:n. The coordinates of the point of division has the coordinates
P=(
m+n
mx
2
+nx
1
,
m+n
my
2
+ny
1
)
Let C(1,1) divides the line segment AB joining the points A(−2,7) and B(x
2
,y
2
) in the ratio 3:2, then using section formula we get,
C=(
m+n
mx
2
+nx
1
,
m+n
my
2
+ny
1
)
⇒(1,1)=(
3+2
3x
2
+(2×−2)
,
3+2
3y
2
+(2×7)
)
⇒(1,1)=(
5
3x
2
−4
,
5
3y
2
+14
)
⇒1=
5
3x
2
−4
,1=
5
3y
2
+14
⇒5=3x
2
−4,5=3y
2
+14
⇒3x
2
=5+4,3y
2
=5−14
⇒3x
2
=9,3y
2
=−9
⇒x
2
=
3
9
,y
2
=−
3
9
⇒x
2
=3,y
2
=−3
Hence, the point B(x
2
,y
2
) is B(3,−3).
If x is positive and x^2 = 729, what is the value of x?
Answer:
x=27
Step-by-step explanation:
x would be the square root of 729, or 27
Answer:
27
Step-by-step explanation:
(x^2=729, x=?)is the same as finding the sqrt of 729, which is 27
need help , if you can answer it pls do . thank you
Answer:
9
Step-by-step explanation:
14-5=9
therefore TV=9
hope this helped
the sales tax is $1002.80 on an automobile purchase of $21800. what is the sales tax rate?
Answer:
21.7391%
Step-by-step explanation:
21800/1002.80
please help, will give brainlist
(x-2)(x-1) use the distributive property
please explain as well!
Answer:
Step-by-step explanation:
(x-2)(x-1)
You need to take the first x and multiply by the other x. Then multiply the first x by the -1. Do this for the -2 also. -2 by the second x and -2 by the -1.
You get x^2-x-2x+2 then combine terms.
x^2-3x+2
Answer:
x² - 3x + 2
Step-by-step explanation:
(x-2)(x-1)
xx - x - 2x + 2
x² - 3x + 2
Help meeeeeeeeee rn pos
Answer:
y = x + 2.5 or y = x + 5/2
Step-by-step explanation:
Multiply both sides by 2 so that they are not fractions anymore.
[tex](2)\frac{2y}{2} = \frac{2x}{2} + \frac{5}{2} (2)\\[/tex] This gives you...
2y = 2x + 5 (divide both sides by 2 to get the y alone.)
y = x + 2.5
Hope this helps ya!!
Find the greatest common factor of 14 and 55
Answer: The factors of 14 are 14, 7, 2, 1.
The factors of 55 are 55, 11, 5, 1.
The common factors of 14 and 55 are 1, intersecting the two sets above.
In the intersection factors of 14 factors of 55 the greatest element is 1.
Therefore, the greatest common factor of 14 and 55 is 1.
Step-by-step explanation:
The greatest common factor of 14 and 55 is 1.
To find the greatest common factor of 14 and 55.
First write the factor of 14.
14 × 1 = 14, 7 × 2 = 14, 2 × 7 = 14, 1 × 14 = 14.
Which are 14, 7, 2 and 1.
Now, write the factor of 55.
55 × 1 = 55, 11 × 5 = 55, 5 × 11 = 55, 1 × 55 = 55
Which are 55, 11, 5 and 1
Therefore, the common factor of 14 and 55 is 1.
Learn more about factor here:
https://brainly.com/question/29054350
#SPJ6
Write V – 250 in simplest radical form.
Answer:
5i√10
Step-by-step explanation:
hope this answers your question
:)
Answer:
5√10
Step-by-step explanation:
PLEASE HELP URGENT!!!!!!!!!!!!
Thomas drew a line of best fit for the scatterplot shown. Write an equation for the line of best fit in slope intercept form. Show your work
Answer:
y=-2/3x+108
Step-by-step explanation:
If you look at the graph for "perfect points"(that's what I call them) you can get rise over run aka slope. In this case, it's -2/3. As for the y-intercept, following the graph's pattern, the y-intercept is 108. Just substitute the values into y=mx+b.
Calculate the area of the shaded region in two different ways. Explain the difference between your two methods.
Answer:
20 unit²Step-by-step explanation:
Method 1Area of trapezium
A = 1/2(b1 + b2)hA = 1/2(3 + 7)(4) = 1/2(10)(4) = 20 unit²Method 2Area of rectangle - Area of triangle
A = lw = 7*4 = 28 unit²A = 1/2bh = 1/2*4*4 = 8 unit²28 - 8 = 20 unit²What percent is equivalent to 12/30?
0 12%
O 30%
0 40%
O 60%
Answer:
40 is the answer
Step-by-step explanation:
Can someone please help?
I am stressing because I honestly do not understand this and the last person who answered this did not make it clear
Answer:
[tex]\frac{108}{125}[/tex]
Step-by-step explanation:
[tex]\frac{3}{5}[/tex]*[tex]\frac{25}{24}[/tex]= [tex]\frac{72}{125}[/tex]
[tex]\frac{72}{125}[/tex]÷[tex]\frac{2}{3}[/tex]=[tex]\frac{108}{125}[/tex]
Hope this helps you!
Find the value of x
X/5 + 1 = 5 X= ?
Answer:
20
Step-by-step explanation:
5-1=4×5=20 that's why
Answer:
x = 20
Step-by-step explanation:
[tex]\frac{x}{5} + 1 = 5[/tex]
isolate the [tex]\frac{x}{5}[/tex] by subtracting 1 from both sides
[tex]\frac{x}{5} + 1 -1 = 5-1[/tex]
[tex]\frac{x}{5} = 4[/tex]
then isolate the x by multiplying both sides by 5
[tex]\frac{x}{5} * 5 = 4 * 5[/tex]
[tex]x = 4 *5 = 20[/tex]
so
[tex]x = 20[/tex]
hope this helps :))
I need help with this pls!!
s +9=25
Help me please
Mark bought groceries two days during the week.
.
Mark purchased $15.00 worth of groceries and paid $17.10 after taxes on Monday.
Mark paid $51.30 after taxes on a purchase of groceries that cost $ 45.00 on Friday
Which equation models the relationship between y, the cost of the groceries after taxes,
and x, the cost of the groceries before taxes?
A. y=0.15x
B. y=1.14x + 0.15
C. y=1.14x
D. y=.015x + 17.10
Answer:
Its either A or C
Step-by-step explanation: times the 45.00 x 0.15 and then try 45.00 x 1.14 it will give you the answer :D
Solve the compound equality, and show work!!
2(x-1) ≥ 10 or 3-4x > 15
Answer:
To solve a compound inequality, first separate it into two inequalities. Determine whether the answer should be a union of sets ("or") or an intersection of sets ("and"). Then, solve both inequalities and graph.
Step-by-step explanation:
Hope this helps!!!!!
:)
write this number in scientific notation 2,000,000,000
what is the missing segment in the image below