Answer:
-7x
Step-by-step explanation:
= -4x-3x
Taking x common
= x(-4-3)
= x(-7)
= -7x
The next term in a sequence Comes from adding the
previous two terms. Find the missing terms below.
2,
,9
, 25,
66
Answer:
Step-by-step explanation:
Each new term is the sum of the two preceding terms. Given 2, 9, etc., we see that a number between 2 and 9 is missing; call it x. Then 2 + x must equal 9, and so x = 7, and so the first three terms are 2, 7, 9. Repeating the process, we add 7 and 9, obtaining 16; thus the first four terms are 2, 7, 9, 16. Continuing this pattern, we add 9 and 16 to obtain the fifth term, which is 25: 2, 7, 9, 16, 25. And so on.
Points O, A, B lie on a line. OA = 12 cm and OB = 9 cm. Find the distance between the midpoints of segments
OA
and
OB
in each case.
a
Point O lies on segment
AB
.
Answer:
10.5
Step-by-step explanation:
Let E be the midpoint of OA and F be the midpoint of OB.
If point O is placed between A and B, then points E and F are placed on different sides from O. The segment OE has length 12÷2=6 cm and segment OF has length 9÷2=4.5 cm. Than EF=6+4.5=10.5 cm.
If point O is placed outside the segment AB, then point B is closer to point O than point A, because OA>OB. Since OE=6 cm and OF=4.5 cm, EF=6-4.5=1.5 cm.
If the order of points is A, O, B, then the midpoints of AO and OB will be separated by half the length of AB: (12 cm + 9 cm)/2 = 10.5 cm.
please mark me brainliest :)
Answer:
10.5 cm
Step-by-step explanation:
A system of linear equations is shown below, where A and B are real numbers. 3x + 4y = A Bx – 6y = 15 What values could A and B be for this system to have no solutions? A = 6, B = –4.5 A = –10, B = –4.5 A = –6, B = –3 A = 10, B = –3
Answer:A=6 B=-4.5
Step-by-step explanation:
We want to find the values of A and B such that the given system of equations has no solutions. We will find that the values of A and B can be:
B = -4.5
A = 6
When a system of equations has no solutions?
A system of linear equations has no solutions when the lines are parallel (so the lines never do intercept).
Here the system is:
3x + 4y = A
Bx – 6y = 15
Remember that two lines are parallel if and only if they have the same slope and different y-intercept, then let's write both equations in the slope-intercept form:
y = A/4 - (3/4)*x
y = -15/6 + (B/6)*x
So we must have:
B/6 = -3/4
A/4 ≠ -15/6
From the first one we get:
B = (-3/4)*6 = -4.5
From the second one we get:
A ≠ (-15/6)*4 = -10
Then from the given pairs, the only one that causes the system to have no solutions is:
B = -4.5
A = 6
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Jeremy's grandfather is four times as old as he is. If you add their ages together, you will get ninety. How old is Jeremy's grandfather? A. 18 B. 19 C. 70 D. 72
Out of every 1000 packages received by a merchant, three are damaged. In a day, the merchant received 600 damaged packages. How many undamaged packages did the merchant receive? ( with explanation )
Answer:
1.8 undamaged packages
Step-by-step explanation:
3/1000 x 600
Multiply
1.8
If a one step equation involves addition, which operation do you use to solve it?
Answer: inverse operation
Step-by-step explanation:
Answer:
use the inverse operation that is substraction
Carol Byrd gets a student rate of $30.00 a month. There is a $200 deductible; but no coinsurance payment. She
recently received treatment for a covered condition. The bill was $2,050.00. Carol's insurance company provided
payment of 80% of the bill less the deductible.
What was the company's payment?
What was Carol's total cost (ignoring the monthly premium)?
Answer:
$160
Step-by-step explanation:
100/100 = 100 ÷ 100 = 100% = 1. Multiply a number by the fraction 100/100
The percentage is calculated by dividing the required value by the total value and multiplying by 100.
The company payment is $1440.
Carol's total cost is $610.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Cost of the bill = $2,050
Company payment = 80% of the bill less the deductible
This means,
80/100 x 2,050 = 1640
Company payment.
= 1640 - 200
= $1440
Now,
Carol's total cost.
= 2,050 - 1440
= $610
Thus,
The company payment is $1440.
Carol's total cost is $610.
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Refer to the diagram of a sail shown here. The length of the luff is 4 times longer than the length of the foot of the sail. Find the length of the foot and the length of the luff. foot ft luff ft
Answer:
foot = 5 ft
luff = 20 ft
Step-by-step explanation:
In the picture attached, the diagram of the sail is shown. A right triangle is formed, where 50 ft² is its area, which can be computed as follows:
foot*luff*1/2 = 50
We also know that luff = 4*foot. Replacing into the previous equation:
foot*(foot*4)*1/2 = 50
foot²*2 = 50
foot² = 50/2
foot = √25
foot = 5 ft
luff = 4*5 = 20 ft
Determine the value of x in the triangle shown. answers : 49° 229° 41° 131°
Answer:
49*
Step-by-step explanation:
There are 180 degrees in a triangle
90*+41*=131*
180*-131*=49*
Answer:
49
Step-by-step explanation:
You find the x value by first knowing that all angles in a triangle would equal 180. With that information, you add all the sides given to you which would equal 131 then subtract that from 180 to find the missing angle. Which is 49 degrees.
13. Solve this equation for A: A/2=4
O A. 2
OB.4
C.6
D. 8
Step-by-step explanation:
A/2 = 4
A = 4 x 2
A = 8
I think this should be the answer
HELP FOR BRAINLIEST!
Answer:
B.) 7iStep-by-step explanation:
When you take the square root of a negative number such as √(−49) you get an answer of ±7i. The reason is that −49 = −1*49.
Hope this helps!
Answer:
B
Step-by-step explanation:
imaginary number (the number doesn't exist)
all square root has positive number inside the sign, but if the number is negative, we call it imaginary
√-1 = i
so i x i = -1
then
√-49 = √-1 * √49 = i * 7 = 7i
The sum of three numbers is 62. The second number is equal to the first number diminished by 4. The third number is four times the first. What are the numbers? Which three expressions could be used to represent the numbers?
A n; n - 4; 4n
B n; 4 - n; n + 4
C n; n/4; n + 4
Answer:
38
Step-by-step explanation:
38 because
() = √2-5
f(1) == ?
all positive real
numbers and
>
all real number greater
than or equal to 5
all real numbers
all real numbers
except 8
Answer:
Step-by-step explanation:
1). f(z) = [tex]\sqrt{z-5}[/tex]
The given function 'f' is defined for (z - 5) ≥ 0
z ≥ 5
Therefore, domain of the function will be [5, ∞)
Or "All real numbers greater than or equal to 5"
2). [tex]f(z)=\frac{1}{z-8}[/tex]
Domain: "All real numbers except 8."
Since the given function is not defined for z = 8
3). f(z) = [tex]\sqrt{z}[/tex]
The given function is defined for every real numbers greater and equal to zero.
Domain: "All positive real numbers and 0"
4). f(x) = 8x
This function is defined for all real numbers.
"Domain: All real numbers"
A retail store sells two types of shoes, sneakers, and sandals. The store owner pays $8 for the sneakers and $14 for the sandals. The sneakers can be sold for $10 and the sandals can be sold for $17. The owner of the store estimates that she won't sell more than 200 shoes each month, and doesn't plan to invest more than $2,000 on the inventory of the shoes. Let x= the number of sneakers in stock, and y=the number of sandals in stock. 1) Write an inequality that represents the possible amount of shoes she can purchase each month. 2) Next, write an inequality that represents how many sneakers and sandals she has in stock each month. 3) After graphing the constraints, what are the coordinates of the four vertices? Round your answers to the nearest whole number. 4)Write an equation to show the profit she will make on sneakers and sandals. 5)If she sold the number of sneakers and sandals that could maximize her profit, what would her maximum profit be?
Answer:
(1)[tex]x+y\leq 200[/tex]
[tex]x>0, y> 0[/tex]
(2)[tex]8x+14y\leq 2000[/tex]
(3)From the graph, the coordinates of the four vertices are:
(0,143)(0,0)(133, 67)(200,0)(4)Profit Function: P(x,y)=2x+3y
(5)Maximum profit =$467
Step-by-step explanation:
Let the number of sneakers in stock =x
Let the number of sandals in stock =y
(1)The owner of the store estimates that she won't sell more than 200 shoes each month. Therefore, an inequality that represents the possible amount of shoes she can purchase each month is:
[tex]x+y\leq 200[/tex]
[tex]x>0, y> 0[/tex]
(2)She does not plan to invest more than $2,000 on the inventory of the shoes.
The store owner pays $8 for the sneakers and $14 for the sandals.
Therefore, an inequality that represents how many sneakers and sandals she has in stock each month is:
[tex]8x+14y\leq 2000[/tex]
(3)From the graph, the coordinates of the four vertices are:
(0,143)(0,0)(133, 67)(200,0)(4)The sneakers can be sold for $10 and the sandals can be sold for $17.
Profit on one sneaker =$10-8=$2
Profit on one sandal =$17-14=$3
Profit Function: P(x,y)=2x+3y
(5)
At (0,143), Profit =2x+3y=2(0)+3(143)=$429
At (0,0), Profit =2x+3y=2(0)+3(0)=$0
At (133, 67), Profit =2x+3y=2(133)+3(67)=$467
At (200,0), , Profit =2x+3y=2(200)+3(0)=$400
Her maximum profit will be $467 when she sells 133 sneakers and 67 sandals.
please need help I will be MARKING as BRIANILIST. thank you so much.
Answer:
C
Step-by-step explanation:
12x+16x
4(3x+4x)
12x+16x
Answer The expression in C is equivalent.
Step-by-step explanation:
A group of fitness club members lose a combined toltal of 28 kilograms in 1week. There are approximately 2.2 pounds in 1 kilograms. Assuming the weight loss happened at a constant rate about pounds did the group lose each day?
Answer:8.8
Step-by-step explanation:
2.2*28=61.6
61.6/7=8.8
Pls Mark me as Brainliest
HELPPPPP plsssss 3|2x+5|=9x-6
Answer:
[tex]3 |2x + 5| = 9x - 6 \\ \\ 6x + 15 = 9x - 6 \\ \\ 6x - 9x = - 15 - 6 \\ \\ - 3x = - 21 \\ \\ x = \frac{21}{3} \\ \\ x = 7 \\ \\ [/tex]
[tex]2 3/5 × 3 1/3[/tex]
Answer:
26/3
Step-by-step explanation:
2 3/5 × 3 1/3
Change to improper fractions.
13/5 × 10/3
Multiply both fractions.
130/15
Simplify.
26/3
Please help me ASAP!!!
Answer:
A.
C.
Step-by-step explanation:
Use guess and check method. Plug in 15 for x in each of the given expressions on your calc to find which ones are the correct answers.
Which of the following steps were applied to ABCD to obtain A’B’C’D’ ?
Answer: a
Step-by-step explanation: they went 4 left and 3 up
Cities A & B are 5 inches apart on a map. Cities C&D are 4 inches apart. If C & D are 900 miles apart, how many miles apart are cities A and B?
Which best describes the range of the function f(x) = { 0)* after it has been reflected over the x-axis?
all real numbers
all real numbers less than 0
all real numbers greater than 0
all real numbers less than or equal to 0
Answer:
all real numbers less than 0
Step-by-step explanation:
In the picture attached, the question is shown.
The function described is an exponential decay with the form:
y = ab^x
where a = 2 and b = 1/4
The range of an exponential decay function is all real numbers greater than 0. This means that after f(x) has been reflected over the x-axis its range is all real numbers less than 0.
What is the value of the expression shown below 10+(2x3)^2 divided by 4x (1/2)^3
Answer:
10 + (2 x 3)^2 / 4 x (1/2) ^3
First do the parentheses
2 x 3 = 6
1 / 2 = 0.5
We are left with
10 + 6^2 /4 x 0.5^3
Do exponents
6 x 6 = 36
0.5 x 0.5 x 0.5 = 0.125
10 + 36 / 4 x 0.125
Divide by 4 and multiply by 0.125
36 / 4 = 9
9 x 0.125 = 1.125
We are left with
10 + 1.125 = 11.125
The answer is 11.125
Step-by-step explanation:
Find a unit rate in the real world and add it to the discussion. You may add a picture or explain your unit
rate. Do not submit one someone else has already added. Week Two
Answer:
One bag of pretzels costs three dollars. Five bags of
pretzels costs $10. Which has the lower unit price?
You score 84 points in six games. How much do you score per
game?
It costs $3.99 for 25 fl. oz. of detergent or $6.99 for 90 fl. oz. Which
is a better buy?
Steve drives 78 miles on 3 gallons of gas. Find the miles per gallon.
Maria walks 12 miles in 3 hours. How many miles does she walk per
hour?
Do you have to solve it?
Kip is going to meet his family.
Predict the number of kilometers that will
remain after 7 hours.
The table shows the number of
kilometers he needs to travel until he
reaches them.
Enter the correct answer.
DONE
Hour
1
2
3
4
5
6
7
Kilometers
196
166
136
106
76
46
?
Answer: 16 kilometres
Step-by-step explanation: Every hour, the distance left is decreased by 30. So, 46-30= 16.
Solve the following problems: Given: AB = 21, OB = 10 Find: m∠BAC
Answer:
(approx)=50.9266
Hence, the [tex]m[/tex]∠[tex]BAC[/tex] is [tex]56.86[/tex].
What is the triangle?
A triangle is a closed, two-dimensional shape with three sides, three angles, and three vertices. A triangle is also a polygon.
Draw the diagram
Here given that,
[tex]AB = 21, OB = 10[/tex]
So, applying the sine angle
[tex]sin(BAO)=\frac{OB}{AB}\\\\sin(BAO)=\frac{10}{21}\\\\BAO=sin^{-1}(\frac{10}{21})\\\\BAO=28.43[/tex]
So,
[tex]BAC=2(28.43)\\\\BAC=56.86[/tex]
Hence, the [tex]m[/tex]∠[tex]BAC[/tex] is [tex]56.86[/tex].
To know more about the triangle
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so yall... what's up?
I need the answer to this question...
The table shows conversions of common units of capacity.
Units of Capacity
Customary System Units
Metric System Units
1 gallon
3.79 liters
1 quart
0.95 liters
1 pint
0.473 liters
1 cup
0.237 liters
1 pint = 2 cups
1 quart = 2 pints
1 gallon = 4 quarts
Which shows the best path to convert 100 liters to pints?
liters Right-arrow cups Right-arrow pints
liters Right-arrow kiloliters Right-arrow pints
pints Right-arrow gallons Right-arrow liters
pints Right-arrow quarts Right-arrow liters
With what radius will a circle with a central angle
of 15º have an intercepted arc of length of 5/4pi
inches?
help pls will give brainliest
Answer:
no
Step-by-step explanation:
Solve this system of linear equations. Separate
the x- and y-values with a comma.
5x + 2y = 13
-9x + 7y = 19
Answer:
A) 5x + 2y = 13
B) -9x + 7y = 19 We'll multiply equation A) by -(7/2)
A) -35/2 x -7y = -(91/2) then we'll add equation B)
B) -9x + 7y = 19
-53/2x = -53/2
x = 1
2y = 13 -5
y = 4
Step-by-step explanation:
Need so help. REally appreciate it
Answer:
y = (1/2)(x) + 1/2
Step-by-step explanation:
The x-intercept is (-1, 0) and the y-intercept appears to be (0, 1/2).
As we go from the x-intercept to the y-intercept, x increases by 1 and y increases by 1/2. Thus, the slope of the line is m = rise / run = 1/2.
Knowing that m = 1/2 and b = (0, 1/2), we can write the equation of this line in slope-intercept form as
y = (1/2)(x) + 1/2