Answer:
The middle integer is 11.
Step-by-step explanation:
Hi there!
Let x be the smallest of the three consecutive integers.
Let x+1 and x+2 be the next consecutive integers. This makes x+1 the middle integer.
We're given that the third integer subtracted from the sum of the first two integers equals 9. We can use this to construct an equation:
[tex](x)+(x+1)-(x+2)=9[/tex]
Combine like terms:
[tex]x+x+1-x-2=9\\x+x-x+1-2=9\\x-1=9\\x=10[/tex]
Therefore, the smallest integer is 10.
Because the middle integer is x+1, the middle integer is 11.
I hope this helps!
Line CD passes through points C(1, 3) and D(4, -3). If the equation of the line is written in slope-intercept form, y =mx + b, what is the value of b?
0-5
0 -2
0 1
O 5
Answer:
5
Step-by-step explanation:
In the slope- intercept form of y= mx +b, m is the slope and b is the y- intercept.
Let's find the slope using the formula below:
[tex]\boxed{slope = \frac{y1 - y2}{x1 -x 2} }[/tex]
[tex]m = \frac{3 - ( - 3)}{1 - 4} [/tex]
[tex] m = \frac{3 + 3}{ - 3} [/tex]
[tex]m = \frac{6}{ - 3} [/tex]
m= -2
Substitute m= -2 into the equation:
y= -2x +b
To find the value of b, substitute a pair of coordinates into the equation:
When x= 1, y= 3,
3= -2(1) +b
3= -2 +b
b= 3 +2 (+2 on both sides)
b= 5
Thus, the 4th option is correct.
Somebody help with 1 & 2
Answer:
c
Step-by-step explanation:
let x represent the equally priced bracelets of which there are 4 , so 4x
We know she spent $64 on rings and a total of $200 was spent , then
64 + 4x = 200 ← represents the situation
x represents the cost of a bracelet
Answer:
c
Step-by-step explanation:
the total amount paid at the jewelry is 200
64 was spent on rings
the rest amount of money was spent on 4 bracelets
let the price of one bracelet be x
200=4(x)+64
200=4x+64
Expanded form of
a 54896
Answer:
50000 4000 800 90 6
Step-by-step explanation:
there is the answer.
Add.
2 1
7 3
+
Write your answer in simplest form.
Answer:
21 + 73 = 94
Step-by-step explanation:
Answer:
add 21 and 73 = 94
nightyfour
A gardener works for 14 hours during a week and charges
$168. How much does the gardener charge for each hour?
Determine the domain on which the following function is decreasing
Answer:
[4,infinity] for DECREASING
[negative infinity, 4] for INCREASING
Step-by-step explanation:
Find the distance in units between 1 1/2 and −2 5/6 on a number line.
Answer:
4 1/3
Step-by-step explanation:
Hypothetically, imagine 2 5/6 was postive, you add it to 1 1/2 to get your answer, but you cant do that until the fractions have a common denominator. To get a common denominator of six, you would multiply both the numerator and denominator of 1/2 by 3, giving you 3/6. Now you have 2 5/6 and 1 3/6, adding them together gives you 3 8/6, but we cant stop here, since 8/6 is 1 2/6, add 3+1 and you now have 4 2/6. The last thing you do here is simplyfy the fraction making it 1/3 now instead of 2/6. Giving you a final answer of 4 1/3 units.
How do you know which direction to move on a number line when adding integers?
Step-by-step explanation:
To add integers on the number line, you move forward, and you face right (the positive direction) when you add a positive number. As with positive numbers, to add negative integers on the number line, you move forward, but you face left (the negative direction) when you add a negative number.
Which is the graph of f(x)=1/2x? Edg
Answer:
There would be a line going directly through the x-asis
Step-by-step explanation:
What’s the Unit Rate for 15 degrees in 2 hours?
Answer:
7.5 degrees per hour.
Step-by-step explanation:
:)
An equation is shown below:
5(2x - 8) + 15 = -15
Write the steps you will use to solve the equation and explain each step.
Answer:
x=10
Step-by-step explanation:
do problem like image attached
help me it’s number 3
Answer:
x multiplied by 6 is 6x.
Hope it helps
X multiplied by 6 can be expressed as 6x
so the question says im at dicks looking for new balls for the team because the ones we have are deflated and it cost $56 per each ball if i have $198.98 how many balls will i be able to but at the dicks store
Answer:
3
Step-by-step explanation:
We cannot but partial balls so we need whole number of balls.
we can use units to easily visualze the issue.
56 $/ball and we have $198.98. We need balls so we do
198.98 / 56 = 3.55
We can at most buy 3 balls.
EXTRA: 56 * 3 = 168
will have 30.98 leftover
Answer:
The answer is 6
Step-by-step explanation:
You can buy 6 balls.
Which of the following is the best estimate of 90? a. 9.1 b. 9.4 c. 9.7 d. 9.9
Answer:
option A 9.1 is close to 90
John is buying pots for the plants in his garden. The small pots are priced at m dollars each. He has already spent b dollars on the big pots. The following expression represents the total amount that John would spend on pots after buying x small pots.
Answer:
m*x=b
Step-by-step explanation:
Price of one pot= m
Number of pots bought= x
Amount spent= b
Equation:-
[tex]m*x=b[/tex]
Hope this helps.
Please helppp Probability Maths
Answer:
16/40 = 0.4
Step-by-step explanation:
Find total marbles then divide the number of green by total.
Evaluate x(-1)(-7)
When x4
(3r - 3) (r+2)
help plz
So this way we can do it. Thankyou!
(BRAINLIEST)
Solve number 8
y = 14
z = 4
Difficulty: Easy
Answer:
yz = 14*28 = 392
Step-by-step explanation:
gimme brainliest
Answer: 56
Step-by-step explanation:
yz
Lets rewrite it
When you have two terms next to each other, it means multiply.
Therefore, we can rewrite this as
(14) x (4)
y times z
14 x 4 = 56
Brainlist for correct answer and 25 points for answering! Write the equation of a line that is perpendicular to y=0.25x-7 and that passes through the point (-6,8).
1.) Given the equation - 3x +5 = 20, write the order of operations which completely
solves for x?
Your school
band needs to buy new percussion
equipment. The equipment will
cost $2450. You have collected
$812 in previous fundraisers. If
you sell sandwiches at $3.50 each,
how many sandwiches will you
need to sell to raise the remaining
funds?
Answer: 468 sandwiches
Step-by-step explanation:
subtract 812 from 2450. you're left with 1,638 dollars left.
divide 1638 by 3.5 and you get 468
Find the difference. Express your answer in lowest terms. You may leave the answer improper.
−3/5−4/5=
Answer:
-7/5.
Step-by-step explanation:
Leave the denominators the same and subtract only the numerators. Since -3 is negative and 4 is a positive being subtracted, you get -7 as the numerator. So, it's -7/5.
Pls help I’ll give you 35 points The depths of the
world's deepest oceans
and seas in feet) are:
12,880; 8,685; 13,002;
13,215; 5,468.
What is the median
depth?
Answer:
12,880
Step-by-step explanation:
You put them in least to greatest and then take one off each end, like the smallest and largest go first(5,468 and 13,215). The median is the one left in the middle and there can be more than one, but in this case there is only one and it is 12,880.
can someone help me with these last 2
Step-by-step explanation:
n+4-9-5n
n-5n+4-9
-4n-5
It is composite because it can be divided by 2 and 4.
Answer:
18).
[tex]n + 4 - 9 - 5n \\ = (n - 5n) + (4 - 9) \\ = - 4n - 5 \\ = - (4n + 5)[/tex]
20).
It is a composite number, because it had more than two factors
find three consecutive even intergers such that the sum of the smallest number and twice the middle number is 20 more than the largest number
Answer:
10, 12, 14
Step-by-step explanation:
Hi there!
Let x be equal to the smallest integer.
Let (x+2) be equal to the next even integer.
Let (x+4) be equal to the largest even integer out of the three.
We're given:
⇒ smallest number + (2 × middle number) = 20 + largest number
Construct an equation:
[tex]x+2(x+2)=20+(x+4)[/tex]
Combine like terms:
[tex]x+2x+4=20+x+4\\3x+4=x+24\\2x=20\\x=10[/tex]
Therefore, the smallest integer is 10, making the next two even integers 12 and 14.
I hope this helps!
what is the quotation of 9÷1/2
Answer:
18
Step-by-step explanation:
9 ÷ [tex]\frac{1}{2}[/tex]
leave 9, change ÷ to × and turn fraction upside down
9 × [tex]\frac{2}{1}[/tex] = 9 × 2 = 18
Answer:
18
Step-by-step explanation:
If you meant, what is the quotient of 9 ÷ 1/2 we get:
[tex]9/\frac{1}{2}=\\\\9*\frac{2}{1}=\\\\\frac{18}{1} =\\\\18[/tex]
What is the value of f(6)
Answer:
f(6) = 35
Step-by-step explanation:
f(6) means the function value for the x-coordinate 6. To find this, we need to find out which function to use (either 0 or 35x-175). 0≤x≤5 means that f(x)=0 for any value between 0 and 5 and including 0 and 5 themselves. However, we need to find the value for x=6, so we need to use the other function (35x-175). This gives us:
f(6) = 35 * 6 - 175 = 210 - 175 = 35
I hope this helps!
Rewrite in factored form, do not solve
9x^2+21x-8=0
Answer:
(3 x - 1) (3 x + 8)
Step-by-step explanation:
Factor the following:
9 x^2 + 21 x - 8
Factor the quadratic 9 x^2 + 21 x - 8. The coefficient of x^2 is 9 and the constant term is -8. The product of 9 and -8 is -72. The factors of -72 which sum to 21 are -3 and 24. So 9 x^2 + 21 x - 8 = 9 x^2 + 24 x - 3 x - 8 = 8 (3 x - 1) + 3 x (3 x - 1):
8 (3 x - 1) + 3 x (3 x - 1)
Factor 3 x - 1 from 8 (3 x - 1) + 3 x (3 x - 1):
Answer: (3 x - 1) (3 x + 8)
Write a verbal expression for each algebraic expression.
(c - 2)d
———————
(2 + 5)p
Answer:
Step-by-step explanation:
