5. 3g + 9 = 2. 3g + 15
Solve for G
A number x plus 10 is more than 2
What is the length of a segment in the complex plane with endpoints at 4 + 2i and 7 – 2i?
Answer:
5
Step-by-step explanation:
A little trick: the imaginary part ([tex]i[/tex]) in the coordinates of complex numbers act same as the y-coordinate in a rectangular plane.
So we want the distance between the coordinate points (4,2) and (7,-2).
How do we get the distance between 2 points? We use the distance formula.
Distance Formula = [tex]\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]
Where [tex](x_1,y_1)=(4,2)[/tex] and [tex](x_2,y_2)=(7,-2)[/tex]
Let's solve for distance:
[tex]\sqrt{(-2-2)^2+(7-4)^2}\\ =\sqrt{(-4)^2+(3)^2} \\=\sqrt{16+9} \\=\sqrt{25} \\=5[/tex]
Hence, the length of the segment in the complex plane with endpoints at 4 + 2i and 7 – 2i is 5.
What is the absolute value of 8.2
2/3 of 24 bananas is what
How many decimal places are in the product of 1.91 and 2.3?
A bus seats 4 people in a row, and there are 12 rows. How many people would fit on 2 buses?
Which expressions are equivalent to 4b?
Options:
b+2(b+2b)
3b+b
None of the above
The Nash family spent a total of $240 on a hotel room for 3 nights. Which equation can be used to find c, the average cost per night for the hotel room?
Answer:
240 divided by 3 = c
Step-by-step explanation:
Tricky...it is $240 for all 3 nights....not $240 per night. So it is division NOT multiplication.
Julio has a bag containing 7 red marbles, 8 blue marbles, 3 green marbles and 9 yellow marbles . He randomly draws 3 red marbles, 1 blue marble, and 2 yellow marbles from the bag. What is the probability that the next marble he draws is green?
Trevon, Leah, and Beth are playing a computer game. Trevon scores -8. Beth’s score was 3/4 of trevons score, and Leah’s score was 1/4 of Beth’s score. What was Leah’s score
Answer:
[tex]-1.5[/tex]
Step-by-step explanation:
We have been given that Beth's score is 3/4 of Trevon's score.
[tex]\text{Beth's score}=-8\times \frac{3}{4}[/tex]
[tex]\text{Beth's score}=-2*3[/tex]
[tex]\text{Beth's score}=-6[/tex]
We are also told that Leah’s score was 1/4 of Beth’s score.
[tex]\text{Leah's score}=-6\times \frac{1}{4}[/tex]
[tex]\text{Leah's score}=-\frac{3}{2}[/tex]
[tex]\text{Leah's score}=-1.5[/tex]
Therefore, Leah score was [tex]-1.5[/tex].
basking in the sun
swimming
increasing or decreasing activity level
These are all activities a cold-blooded reptile may do to maintain
A) homeostasis.
B) body weight.
C) peer dominance.
D) blood sugar levels.
PLEASE HELP I WILL GIVE 50 POINTS
Mr. Rijo bought 49 bags of soil one week and 28 bags of soil the next week. Which expression correctly applies the distributive property to show equivalent expressions for the number of bags of soil he bought?
49 + 28 = 4(7 + 7)
49 + 28 = (7)(7) + (14)(2)
49 + 28 = (7)(14) + (7)(7)
49 + 28 = 7(7 + 4)
Answer:
7
Step-by-step explanation:
The graph of an inequality is an open circle around the number five with the line shaded to the right of five. Which inequality could this represent?
m+2m+(2m+16)+(m-10)=150 please help me solve.
What is the solution to the equation 1/6n =2?
Paula weighed 65.5 kilograms before she started training she as lost 3500grams how much does she weigh
1 kilogram = 100 grams
3500 / 1000 = 3.5 kilograms
65.5 - 3.5 = 62
she weighs 62 kilograms
math question down below
Naomi has earned$54 mowing lawns the past two days. She worked 2 1/2 hours yesterday and 4 1/4 hours today. If Naomi is paid the same ammount every hour she works, how much does she earn per hour? (show your work)
Answer:
Naomi earns $8 per hour.
Step-by-step explanation:
Naomi has earned$54 mowing lawns the past two days.
She worked 2.5 hours yesterday and 4.25 hours today.
Suppose she earns x dollars per hour and is paid the same amount every hour she works.
We get the equation;
[tex]2.5x+4.25x=54[/tex]
[tex]6.75x=54[/tex]
x = 8
Hence, she gets $8 per hour.
complete the table. then describe a pattern in the decimal forms o the fractions.
The table represents some points on the graph of a linear function. What is the rate of change of y with respect to x for this function?
X | Y
-9 | 5
0 | 3
9 | 1
I need to simplify this
(3x^2+2xy+4y^2) + (6x^2-5xy+3y^2) + (9y^2-25y^2)
Write the rule for the pattern. 128, 64, 32, 16, . . .
Each term in the sequence is obtained by dividing the previous term by 2. Therefore, the rule for the pattern in the given sequence is to halve each term to obtain the next term.
The pattern in the given sequence is a halving pattern.
The rule for the pattern:
1. The first term in the sequence is 128.
2. Each subsequent term is obtained by dividing the previous term by 2.
Let's see how this rule applies to the given sequence:
128 / 2 = 64
64 / 2 = 32
32 / 2 = 16
Every term in the series is created by dividing the one before it by two. The rule for the pattern in the above sequence is to divide each phrase in half to produce the following term.
To know more about the series follow
https://brainly.com/question/1862223
#SPJ6
richard bought rolls for a bbq he bought 4 1/4 dozen wheat rolls and 5 2/3 snowflake rolls if 4 1/3 were eaten at the bbq how many dozen rolls does richard have left
Answer: Richard has 5 7/12 rolls left.
Step-by-step explanation:
Hi to answer this question, first, we have to sum the amount of rolls Richard bought for the bbq:
4 1/4 + 5 2/3 = 4 3/12 + 5 8/12 = 9 11/12
Finally we have to subtract the amount of rolls eaten at the bbq to the previous number.
9 11/12 - 4 1/3 = 9 11/12 - 4 4/12= 5 7/12
So, Richard has 5 7/12 rolls left.
Feel free to ask for more if needed or if you did not understand something.
A picture of a school’s mascot is 18 in. wide and 24 in. long. It is enlarged proportionally to banner size. If the width is enlarged to 63 in., what is the length of the banner?
a.
84 in.
c.
12.5 in.
b.
18 in.
d.
6.5 in.
The scale factor is 3.5 and the length of the banner is 84 inches. Then the correct option is A.
What is dilation?Dilation means the changing of the size of the object without changing the shape. The size of the object may be increased or decreased based on the scale factor.
A picture of a school’s mascot is 18 in. wide and 24 in. long.
It is enlarged proportionally to banner size.
If the width is enlarged to 63 in.
Then the scale factor will be
[tex]\rm S.F. = \dfrac{63}{18}\\\\S.F. = 3.5[/tex]
Then the length of the banner will be
[tex]\rm Banner \ length = S.F. \times 24\\\\Banner \ length = 3.5 \times 24\\\\Banner \ length = 84[/tex]
The length of the banner is 84 inches.
More about the dilation link is given below.
https://brainly.com/question/2856466
what fraction of £3.00 is 50p
-33 < -7n - 12 < -26
The art store carries 28 different shades of colored paper.There are 5 packages of each shade of paper on the store’s shelves. A teacher bought 2 packages of each of the 14 different shades. How many packages of colored paper did the store have left on the shelves?
Can someone please help me and explain this to me ! Thanks !
How many 3/4 pound packages can you make with 6 pounds of sunflower seeds ?
In the expression 1/4 divided by 5/7, which of the following is the divisor
1/4
4
5/7
7
Answer:
[tex]\frac{5}{7}[/tex]
Step-by-step explanation:
Given expression 1/4 divided by 5/7
For any division [tex]\frac{a}{b}[/tex]
'a' is the dividend and 'b' is the divisor
Denominator is the divisor
[tex]\frac{\frac{1}{4} }{\frac{5}{7}}[/tex]
Here, the denominator is 5/7
So the divisor is [tex]\frac{5}{7}[/tex]