Answer:
x < 13
Step-by-step explanation:
We have an inequality and are asked to solve for x.
Inequality work the same as expressions when it comes to solving for x, the only difference is that when you divide by a negative, the inequality sign changes. Which is not a problem.
4x - 8 < 44
Add 8 to both sides :
4x < 52
Divide 4 from both sides :
x < 13
An equilateral triangle has an altitude of 21 inches. What is the side
length of the triangle?
14 2
7 2
7 3
14 3
Answer:
7[tex]\sqrt{3}[/tex]
Step-by-step explanation:
the altitude creates two congruent 30-60-90° triangles
the ratio of the sides in a 30-60-90°, respectively, are 1 : [tex]\sqrt{3}[/tex] : 2
therefore we can set up a proportion to find the side length:
let 'x' = side length of equilateral Δ
[tex]\sqrt{3}[/tex] / 1 = 21 / x
cross-multiply:
[tex]\sqrt{3}[/tex]x = 21
x = 21 / [tex]\sqrt{3}[/tex]
rationalize the denominator by multiplying numerator and denominator by [tex]\sqrt{3}[/tex]
21[tex]\sqrt{3}[/tex] / [tex]\sqrt{3}[/tex]·[tex]\sqrt{3}[/tex] = 21[tex]\sqrt{3}[/tex] / 3 or 7[tex]\sqrt{3}[/tex]
given a triangle with a perimeter of 56in. we know the first side is 3 inches less than twice the length of the second side, and the third side is 10 inches more than half the length of the second side. if the second side length is h, how long is the longest side? write an equation to solve for the variable.
Answer:
Side A = 25 in
Side B = 14 in
Side C = 17 in
Step-by-step explanation:
Perimeter of a triangle = 56 in
Side B = x
Side A = 2x - 3
Side C = 1/2x + 10
Perimeter of a triangle = side A + Side B + side C
56 = (2x -3) + x + (1/2x + 10)
56 = 2x - 3 + x + 1/2x + 10
56 + 3 - 10 = 2x + x + 1/2x
49 = 3 1/2x
Note: 3 1/2x = 3.5x
49 = 3.5x
x = 49/3.5
x = 14 in
Side B = x = 14 in
Side A = 2x - 3
= 2(14) - 3
= 28 - 3
= 25 in
Side C = 1/2x + 10
= 1/2(14) + 10
= 7 + 10
= 17 in
Solve the problem by multiplying first.
Jamian bought a total of 35 bagels and donuts for a morning meeting. He paid a total of
$25.75. Each donut cost $0.55 and each bagel cost $1.20. The system of equations
b + d = 35
1.200 + 0.55d = 25.75 models this situation, where b is the number of bagels and d
is the number of donuts. How many of each did Jamian buy?
{ 1.200
Jamian bought
bagels and
donuts.
Answer:
Number of bagels = 10
Number of donuts = 25
Step-by-step explanation:
Let Number of bagels = b
Number of donuts = d
As given,
Each donut cost $0.55 and each bagel cost $1.20
⇒ Cost of d donuts = $0.55d
Cost of b bagels = $1.20b
Also given,
Jamian bought a total of 35 bagels and donuts
⇒ b + d = 35 ........(1)
Also,
He paid a total of $25.75.
⇒ 1.20b + 0.55d = 25.75 .........(2)
Now,
Multiply equation (1) by 1.20 , we get
1.20( b + d = 35 )
⇒1.20b + 1.20d = 42 ..........(3)
Now,
Subtract equation (2) from equation (3), we get
1.20b + 1.20d - ( 1.20b + 0.55d ) = 42 - 25.75
⇒1.20b + 1.20d - 1.20b - 0.55d = 16.25
⇒0.65d = 16.25
⇒d = [tex]\frac{16.25}{0.65}[/tex] = 25
⇒d = 25
Put the value of d in equation (1) , we get
b + d = 35
⇒b + 25 = 35
⇒b = 35 - 25 = 10
⇒b = 10
∴ we get
Number of bagels = b = 10
Number of donuts = d = 25
Factor the expression f(x)=36x^4-49x^2
Answer:
u kqmnwnb jwkoajh wmkn.q
Enter the number that belongs in the green box.
Answer:
90°
Step-by-step explanation:
:)
(SAT prep)Find the value of x
Please help me!
Answer:
Step-by-step explanation:
x=120°
if you look, the arrows on the lines mean they’re parallel.
so
¿Cuál es el resultado de la suma de los ángulos externos de un cuadrado?
Necesitó ayuda pliss
Answer:
360 creo :)
Step-by-step explanation:
creo,pero si es fue un placer ayudarte :)
61+x-1=90 find for x
Answer:
X = 30
Step-by-step explanation:
Answer:
x=30
Step-by-step explanation:
What is the solution to the equation below? 2(x - 3) = 2x + 5
Answer: No solution
Step-by-step explanation: there is not a single value of x that would make the equation true
Answer:
Your expression for 2(x - 3) would be 2x - 6 I'm not sure what the 2x + 5 is there for. Correct me if I'm wrong. If your trying to find the value of x you cannot find it. There is no solution to find the value of X.
A student said we cannot subtract 1.97 from 20 because 1.97 has two decimal digits and 20 has none. Do you agree with his statement? Explain or show your reasoning.
Answer:
No
Step-by-step explanation:
everything has a infinite amount of zeroes behind the decimal point or where it ends at least
A total of 818 tickets were sold for the school play. They were either adult tickets or student tickets. There were 68 more student tickets sold than adult tickets.
How many aduit tickets were sold?
Answer:
375
Step-by-step explanation:
If we say there were a adult tickets sold, we know that there were a + 68 student tickets sold.
a + a + 68 = 2a + 68
818 tickets were sold in total so
2a + 68 = 818
2a = 750
a = 750/2 = 375 adult tickets sold
Answer:
443
Step-by-step explanation:
So, what we basically know is the total number of tickets for adults and students altogether. In order to start this problem itself, it will require a subtraction.
So,
That's gonna be,
818 - 68= 750
For me, personally, I have a method that works for every question similar to this one. The concept is kinda weird ,yeah but it applies to all types of questions like this one.
It is
More than= Sub-add or Subadd
So, it's gonna be
this,
818 - 68= 750
750÷ 2 = 375
Number of tickets for adults will be= 375 + 68= 443
WHAT WOULD THIS BEEE!!
use Pythagoras theorem
20 units
8x-2*4 simplified area of the rectangle
Answer:
multiply both expressions
(8x - 2)(4)
32x - 8
simplify
32x = 8 4 ( 2 2 2 2 2 2)
-8 = 8 -1
8(4x - 1)
hope this helps
Step-by-step explanation:
What is the fewest number of consecutive primes, starting with 2, that when summed produce a number divisible by 7?
Answer:
5
Step-by-step explanation:
The consecutive primes starting from 2 are
2, 3, 5, 7, 11
Summing gives 2 + 3 + 5 + 7 + 11 = 28
and 28 is divisible by 7
Thus the required number of primes is 5
The fewest number of consecutive primes, starting with 2, that when summed produces a number divisible by 7 is 5.
To determine what is the fewest number of consecutive primes, starting with 2, that when summed produces a number divisible by 7, the following calculation must be performed:
2 + 3 = 5 2 + 3 + 5 = 10 2 + 3 + 5 + 7 = 17 2 + 3 + 5 + 7 + 11 = 28 28/7 = 4
Therefore, the fewest number of consecutive primes, starting with 2, that when summed produces a number divisible by 7 is 5.
Learn more in https://brainly.com/question/4184435
write the equation 6x-3y=9 in slope-intercept form. Then graph the line described by the equation .
Answer:
check book
Step-by-step explanation:
ok apply formula only
(3,-8); slope = -3
Write in slope intercept form
Answer:
[tex]y = - 3x + 1[/tex]
Step-by-step explanation:
[tex] - 8 = - 3 \times 3 + b[/tex]
[tex]b = 1[/tex]
(x + yi) + (4 + 9i) = 9 - 4i
Answer:
x
=
5
−
y
i
−
13
i
Step-by-step explanation:
What is the function rule for this table? 10 POINTS! BRAINLIEST to correct answer!
Benjamin bought a 3-pound bag of flour for $6.95. What is the unit price per ounce of flour? (1 pound = 16 ounces)
Answer:
Step-by-step explanation:
Since there are 16 oz in 1 lb, to find the amount in 3 lbs, you would just multiply it by 3
16 · 3 = 48
to find the price you divide the total price by number of oz.
6.95 ÷ 48 ≈ 0.1448
since money is measured in hundreths, you would round up (because thats how money works) so it would be roughly 15 cents. unless your teacher wants you to round down to 14 cents
Options are
True
Or
False
Answer: true
Step-by-step explanation:
Plz help me I don’t want to fail
The floor of a room with dimensions 16 by 12 is covered with square tiles, each of length 0.32. How many of such tiles will be needed to cover one third of the room?
Answer:
625 tiles
Step-by-step explanation:
According to the scenario, computation of the given data are as follows,
Total room floor area = 16 × 12 = 192
So, area of one third room = 192 × (1 ÷ 3)
Area of one third room = 64
Length of each tiles = 0.32
As it is a square tile, width = length, = 0.32
o, total area of each tile = 0.32 × 0.32 = 0.1024
So, number of tiles to cover 64 area of room = 64 ÷ 0.1024 = 625 tiles.
Hence, 625 tiles needed to cover one third of room.
SECOND TIME POSTING I RLLY NEED HELP GUYS URGENNTTTT PLS PLS PLS!
Type the missing number in this sequence:
3, 18, ____, 648, 3,888, 23,328
Answer:
108
Step-by-step explanation:
18*6 = 108
Given the equation 1/2(d + 4) = 4.25, what is the value of d?
2
d = 4.5
d = 3.75
d = 0.25
d = 8
Answer:
d=4.5
Step-by-step explanation:
Pleaseeee helpp answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
Answer:
x = 59º
y = 40º
z = 59º
Step-by-step explanation:
x= 180 - 121 = 59º
59 + 40 + z = 180
99 + z = 180
z= 81º
y = 40º
x = 180 - (81 + 40)
x = 59
A(0,2), B(2,4), C(4,2), D(2,0)
FIND THE SLOPE OF AC.
What is the slope of the line shown in the graph?
−1
−2
negative 1 over 2
2
Answer:
Slope = -2
Step-by-step explanation:
y2-y1/ x2-x1
The function of f(n) = log 0.98(n/50) models the time, f(n), in minutes, required for the concentration of a certain chemical to reach a value of n milligrams/liter during a reaction.
Which statements about the reaction are supported by the graph? (More than one answer)
A. The concentration of the chemical decreases as the reaction progresses over time.
B. The concentration of the reactant is 50 milligrams/liter at the start of the reaction.
C. The concentration of the chemical cannot exceed 50 milligrams/liter.
D. The concentration of the chemical increases as the reaction progresses over time.
E. The concentration of he reactant is 160 milligrams/liter at the start of the reaction.
Answer:
Step-by-step explanation:
The statements supported by graphs are,
A. The concentration of the chemical decreases as the reaction progresses over time.
E. The concentration of he reactant is 160 milligrams/liter at the start of the reaction.
C. The concentration of the chemical cannot exceed 50 milligrams/liter.
Logarithmic function:The function which represent time required for the concentration of a certain chemical to reach a value of n milligrams/liter during a reaction.
[tex]f(n) = log 0.98(n/50)[/tex]
From given graph, It is obseved that
The concentration of the chemical decreases as the reaction progresses over time.
The concentration of he reactant is 160 milligrams/liter at the start of the reaction.
The concentration of the chemical cannot exceed 50 milligrams/liter.
Learn more about the logarithmic function here:
https://brainly.com/question/1695836
เป็น
ที่
เป็นงาน
ยางใน
Which graph shows a system of equations with infinitely many solutions
Answer:
Step-by-step explanation:
[tex]\int\limits^a_b {x} \, dx \lim_{n \to \infty} a_n \neq \geq x^{2} \\ \leq[/tex]⇄⇅⇵⇔ω∈ФπΔ≅≡β·∛
Exit Ticket
Priya says, "There are exactly four points that
are 3 units away from (-5,0)." Lin says, “I think
there are a whole bunch of points that are 3
units away from (-5,0)."
Do you agree with either of them? Explain
your reasoning.
Answer:
No
Step-by-step explanation:
There are 4 points between the two units