Answer: see below
Step-by-step explanation:
[tex]32)\quad \dfrac{3}{5}(x-12)>x-24[/tex]
3(x - 12) > 5(x - 24)
3x - 36 > 5x - 120
-5x -5x
-2x - 36 > -120
+36 +36
-2x > -84
÷ -2 ↓ ÷ -2
x < 42
Graph: ←------------o
42
34) 6[5y - (3y - 1)] ≥ 4(3y - 7)
6[5y - 3y + 1] ≥ 4(3y - 7)
6{2y + 1] ≥ 4(3y - 7)
12y + 6 ≥ 12y - 28
-12y -12y
6 ≥ -28
TRUE so the solution is All Real Numbers
Graph: ←-----------------------→
36) BC + AC > AB
4 + 8 - AB > AB
12 - AB > AB
+AB +AB
12 > 2AB
÷2 ÷2
6 > AB
AB < 6
[tex]38)\quad \dfrac{1}{2}(y-16)\geq y+2\quad ;\text{claim}\ y\leq 20[/tex]
Check: let y = 16
then [tex]\frac{1}{2}[/tex](16 - 16) ≥ 16 + 2
0 ≥ 18
FALSE so the claim is wrong
40) question not provided in the image so I cannot give a solution.
Which expression is equal to 527.471?*
(5x100)+(2x10)+(7x1)+(4x10) + (7x100)+ (1x1,000)
(5x100,000)+(2x10,000)+(7x1,000)+(4x100) + (7x10)+ (1x1)
(5x100)+(2x10)+(7x1)+(4x1/1) + (7x1/10)+ (1x1/100)
(5x100)+(2x10)+(7x1)+(4x1/10) + (7x1/100)+ (1x1/1,000)
Answer:
Step-by-step explanation:
527.471 =(5 ×100.000) +(2 ×10.000) +(7 ×1.000) +(4 ×100) +(7 ×10) +(1×1)
Answer:
500029301.171
Step-by-step explanation:
which algebraic expression represents the phrase "the quotient of negative eight and the sum of a number and three"
Answer:
Let x be that number.
[tex] - 8 \div (x + 3)[/tex]
The quotient is the result of dividing a number by another. In this case, the numbers are - 8 and x + 3.
How are lines KL and MN related?
O The lines intersect at point K.
O The lines are parallel.
O The lines are perpendicular.
O The lines do not have slopes,
The lines KL and MN perpendicular to each other.
What is slope?In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).
here, we have,
If a line passes through two points, then the slope of the line is
m = y2-y1/x2-x1
From the given graph it is clear that coordinates of points on line KL are K(-8,2) and L(6,2).
The slope of line KL is
m = 0
The slope of line KL is 0, it means it is a horizontal line.
From the given graph it is clear that coordinates of points on line MN are M(-4,8) and N(-4,-6).
The slope of line MN is
m = 1/0
The slope of line MN is 1/0 or undefined, it means it is a vertical line.
We know that vertical and horizontal lines are perpendicular to each other.
Therefore the lines KL and MN perpendicular to each other.
To learn more on slope click:
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#SPJ7
L.B. Johnson Middle School held a track and field event during the school year. The chess club sold various drink and snack items for the participants and the audience. All together, they sold items 486that totaled .$2,673a.If the chess club sold each item for the same price, calculate the price of each item.
Answer:
$5.50
Step-by-step explanation:
L.B Johnson middle school held a track and field event
The chess club sold different drinks and snack item for both the audience and participants
They sold 486 items at a total of $2,673
Therefore the price of each item can be calculated as follows
= 2673/486
= 5.50
Hence the price of each item is $5.50
how to factorise 15x-10x^3
A 5000 seat theater has tickets for sale at 26 and 40. How many tickets should be sold at each price for a sellout performance to generate a total revenue of 153800.
Answer:
The number of tickets for sale at $26 should be 3300
The number of tickets for sale at $40 should be 1700
Step-by-step explanation:
Use 2 equations to represent the modifiers within the problem:
[tex]5000 = a + b \\ 153800 = 26a + 40b[/tex]
Now you want to find the point at which the variables are changed to make both equations correct, this can be done by graphing and finding the intersection of both lines.
[tex]5000 = 3300 + 1700 \\ 153800 = 26(3300) + 40(1700)[/tex]
12 ft
8 ft
8 ft
Find the area of the kite.
Answer:
The area of the kite would be 48.
15 POINTS!!!HELP!! JUST TELL ME THE FORMULA I NEED TO USE !!!
Answer: No.
Step-by-step explanation: It's obviously a quiz of some sort. If it's not, then why would it be timed? Please don't do this :(
Apply a 90 degree rotation to the point (1, 2)
Answer:
(-1,2)
Step-by-step explanation:
90 degree rotation from (a,b) is (-a,b)
Solve: 3(g − 2) = 8
Answer:
g=4⅔
Step-by-step explanation:
3(g - 2)=8
3g -6 = 8
3g= 8+6
3g= 14
[tex] \frac{3g}{3} = \frac{14}{3} [/tex]
g=4⅔
hope this helps
Step-by-step explanation:
3(g - 2) = 8
3(g - 2) = 8
+ 2 +2
3g = 8
3÷3= 0 8÷3 = 4.6
so your answer will be g= 4.6 (5 if you round it up) or if you need it in fraction form it will be 4 and 2/3
Multiply. −2⋅(4)⋅(−3)⋅(5) −120 −4 4 120
Answer:
-44120
Step-by-step explanation:
A restaurant coffee pot holds 3 gallons of coffee. The pot has been filled with 2 gallons of coffee. If the variable c stands for the amount of additional coffee the pot can hold, which of the following units could apply to that variable?
A. yards
B. pounds
C. gallons
D. bushels
C
Because your weight system is gallons in the rest of the question :)
Answer:
gallons
Step-by-step explanation:
Suppose there is a 1.7f drop in temperature for every thousand feet that an airplane climbs into the sky. If the temperature on the ground is 49.9f what will be the temperature when the plane reaches am altitude of 4,000ft?? The temperature will be_____F (type an integer or a decimal)
Answer:
[tex]43.1 ^{\circ}F[/tex]
Step-by-step explanation:
Give that for every 1000 feet increase in the height there is a drop of [tex]1.7 ^{\circ}F[/tex] in temperature.
So, the rate of temperature drop with respect to height, R = 1.7/1000 [tex]^{\circ}F/\text{ft}[/tex].
If the change in height is [tex]\Deltah[/tex][tex]\Delta h[/tex] feet, the temperature drop,
[tex]\Delta T= \Delta h R \;^{\circ}F\cdots(i)[/tex]
The temperature on the ground is 49.9 [tex]^{\circ}F[/tex].
At the ground, the height is 0, so the change in height, \Delta h when the plane reaches an altitude of 4,000 feet, is
\Delta h =4000-0=4000 feet
Now, from equation (i), the temperature drop
[tex]\Delta T= 4000 \times \frac {1.7}{1000}=6.8\;^{\circ}F.[/tex]
Hence, the temperature at an altitude of 4000 feet [tex]= 49.9-6.8=43.1 \;^{\circ}F[/tex].
An indoor water park has two giant buckets that slowly fill with 1000 gallons of water before dumping it on the people below. One bucket dumps water every 18 minutes. The other bucket dumps water every 16 minutes. It is currently 2:45 P.M. And both buckets dumped water 15 minutes ago. Find the next two times that both buckets dump water at the same time.
Answer:
The next two times both buckets dump water at the same time are 4:54 P.M and 7:18 P.M.
Step-by-step explanation:
From the question, one bucket dumps water every 18 minutes, say bucket A;
and the other bucket dumps water every 16 minutes, say bucket B.
Also, It is currently 2:45 P.M. and both buckets dumped water 15 minutes ago,
that is, both buckets dumped water at 2:30 P.M.
For bucket A, the next times it will dump water will be:
2:48 P.M, 3:06 P.M, 3:24 P.M, 3:42 P.M, 4:00 P.M, 4:18 P.M, 4:36 P.M, 4:54 P.M, 5:12 P.M, 5:30 P.M, 5:48 P.M, 6:06 P.M, 6:24 P.M, 6:42 P.M, 7:00 P.M, 7:18 P.M, 7:36 P.M, 7:54 P.M, 8:12 P.M, 8:30 P.M etc.
For bucket B, the next times it will dump water will be:
2:46 P.M, 3:02 P.M, 3:18 P.M, 3:34 P.M, 3:50 P.M, 4:06 P.M, 4:22 P.M, 4:38 P.M, 4:54 P.M, 5:10 P.M, 5:26 P.M, 5:42 P.M, 5:58 P.M, 6:14 P.M, 6:30 P.M, 6:46 P.M, 7:02 P.M, 7:18 P.M, 7:34 P.M, 7:50 P.M etc.
From above, we observe that the next two times both buckets dump water at the same time are 4:54 P.M and 7:18 P.M.
Hence, the next two times both buckets dump water at the same time are 4:54 P.M and 7:18 P.M.
What is the solution to the linear equation?
–12 + 3b – 1 = –5 – b
b = –2
b = –1.5
b = 1.5
b = 2
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ;)
The solution to the linear equation –12 + 3b – 1 = –5 – b is:
b = 2
The linear equation is:
–12 + 3b – 1 = –5 – b
Collect like terms
-12 - 1 + 5 = -b - 3b
Simplify the rearranged equation
-8 = -4b
Divide both sides by -4
[tex]\frac{-8}{-4} = \frac{-4b}{-4}[/tex]
The given expression, after dividing both sides by -4, will give:
2 = b
Rewriting the resulting solution:
b = 2
Therefore, the solution to the linear equation –12 + 3b – 1 = –5 – b is:
b = 2
Learn more here: https://brainly.com/question/2159099
What’s the correct mathematical expression for 2 groups of z
Answer:
2z = 2 groups of z
2) If 20 workers can build a house in 45 days, how many more workers are needed
to complete it in 30 days?
А
6
B
15
С
10
D
18
Answer:
B
Step-by-step explanation:
PLEASE HELP ME! I am not sure how to answer this question.
Answer:
yes
Step-by-step explanation:
the diagnols are congruent meaning that the diagnol lines in the middle are the same length. So theoretically the left and right lengths are the same, and the top and bottom lengths are the same. The triagles named both have the same base and they're hieght is sbviouysly the same so they would be SSS each of the sides on one triangle coresspondes to the other.
Alex bought 2 1/4 pounds of M&Ms and 1.6 pounds of gummy worms. If the M&Ms cost $2 per pound, and the gummy worms cost $ $2.75 per pound, how much did he spend?
Answer:
Alex paid $8.90 total. $4.50 for the M&Ms and $4.40 for the gummy worms.
Step-by-step explanation:
2 [tex]\frac{1}{4}[/tex] is equivalent to 2.25, and if each pound is worth $2, then you would multiply the cost by each pound bought, shown like this: $2 (2.25) = $4.50 (You are distributing the $2 to find the product).
$2.75 (1.6) = $4.40
$4.50 + $4.40 = $8.90
PLS ANSWER HELP
Thanks
HELP!! please explain how you got the answer too.
Determine whether cach point lies on the graph of the line y = 4.6x -7.
H(0, -7)
Answer:
Point H does lie on the graph y = 4.6x - 7
Step-by-step explanation:
Step 1: Define
y = 4.6x - 7
H(0, -7)
Step 2: Substitute, Evaluate, and Check
-7 = 4.6(0) - 7
-7 = 0 - 7
-7 = -7
Answer:
H(0,-7) does lie on the graph of line y = 4.6x - 7
Step-by-step explanation:
All you have to do is simply plug in the x and y values.
From the point H (0,-7) we can say that
x = 0
y = -7
Now just plug it into the equation.
y = 4.6x - 7
(-7) = 4.6(0) - 7
-7 = -7
Since -7 does equal -7, the point H is on the line of y = 4.6x - 7.
If anyone answers, I love you.
Answer:
-5 7
6 -3
-9 1
Step-by-step explanation:
im so sorry if im wrong don't sew meh
find the cube of 2.9
[tex] {2.9}^{3} \\ 2.9 \times 2.9 \times 2.9 \\ 8.41 \times 2.9 \\ 24.389[/tex]
Answer:The cube of [tex]2.9[/tex] is [tex]24.389[/tex].
What’s the highest common multiple?
Answer:
HCF = 90
Step-by-Step explanation:
2 × 3⁴× 5 = 810
2³× 3²× 5²= 1800
Find the prime factorization of 810
810 = 2 × 3 × 3 × 3 × 3 × 5
Find the prime factorization of 1800
1800 = 2 × 2 × 2 × 3 × 3 × 5 × 5
To find the HCF, multiply all the prime factors common to both numbers:
Therefore, HCF = 2 × 3 × 3 × 5
HCF = 90
3/4 change 3/4 to a decimal show work
Answer:
0.75
Step-by-step explanation:
You just need to convert 3/4 into a decimal.
For example: If you get 3 out of 4 problems right on a quiz, in percent form it will be a 75%, in decimal form 0.75 because you'll move the percent sign 2 spaces to the left. That will then be a decimal if you're converting 75% to 0.75.
3 divided by 4 is also going to give you 0.75. Because, a "fraction slash" is the dividing point. So,
3/4 = 0.75
22+54=y+16 whats the answer
Answer:
y=60 or 60=y
Step-by-step explanation:
22+54= 76
76=y+16
60=y or the other way around
Enter the correct answer in the box by replacing the values of m and b.
Answer:
f(x) = -2x + 5 Plato
Step-by-step explanation:
question in picture.
Answer:
4,3,0.5 youre welcome, good Luckk : )
help me pleaseeeeeeeeeeeeeeeeeeeeeee
3x-100 what does x equal?