7x - 35 < 2(x -5)
Use distributive property on the right side:
7x -35 < 2x - 10
Add 35 to both sides:
7x < 2x + 25
Subtract 2x from both sides
5x < 25
Divide both sides by 5
X < 5
[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]
Solve the inequality 7x-35<2(x-5)
[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]
First, use the distributive property on the right-hand side:-
7x-35<2x-10
Remember, we need to ensure that variables are on one side of the inequality and numbers are on the other.
Since we have variables on both sides, we need to move all of them to the other side (usually the left-hand side), using the opposite operation.
Therefore
7x-35-2x<-10
Combine like terms:-
5x-35<-10
Now add 35 on both sides:-
5x<-10+35
On simplification,
5x<25
Divide by 5 on both sides:-
x<5
So the values of x less than 5 will satisfy this inequality.
Good luck with your studies.[tex]\rule{300}{1}[/tex]
Question 10 of 10
Find the area of the figure.
5 m
2 m
9 m
O A. 27 m2
O B. 54 m2
O C. 45 m2
O D. 36 m2
Answer:
45 m2
Step-by-step explanation:
It was the only reasonable answer lol
9x5=45
Question 3 of 10
Which number sentence below matches this word problem?
On Monday, 4 people signed up to go bowling. The following day, 11 more
people agreed to go. How many people are planning to go bowling?
A. 4+ 11 = 15
B. 11 x 4 = 44
C. 15-4 = 11
D. 44-4 = 11
Answer:
A
Step-by-step explanation:
On Monday 4 people signed up plus the 11 who agreed to go the following day
which adds up to 15
answers to the question
1
5
7
9
11
Answer:
x = 1 , x = 9
Step-by-step explanation:
from the table
f(x) = g(x) = 14 when x = 1 , and
f(x) = g(x) = 6 when x = 9
then the solutions to f(x) = g(x) are
x = 1 and x = 9
What is the factor form pls yall I need help lol and put how to solve it
Answer:
y = -1/2(x - 3)(x - 7)
Step-by-step explanation:
we already have the x intercepts so we can first put those in our equation
y = a(x - 3)(x - 7)
then we can plug in the vertex to find what our a value is
2 = a(5 - 3)(5 - 7)
2 = a(2)(-2)
2 = -4a
a = -1/2
so your equation is
y = -1/2(x - 3)(x - 7)
PLEASE HELP!!! DUE BY THE END OF NIGHT (LOOK AT PICTURE PLEASE)
Answer: 60%, or D. hope this helps!
Step-by-step explanation:
Add all Blue - 30 + 20 = 50 so since theres 30 with no nuts its 30/50, divide them and you get 0.60, and as a percentage that is 60%
Answer:
D. 60%
Step-by-step explanation:
50 total blue candies (20 + 30)
30 of them contain no nuts according to the table, which means that is 30/50. This reduces to 6/10 or 0.6. As a percentage that is 60%
Is this true or false?
Answer:
true
Step-by-step explanation:
yas
If the diameter of a circle is 14 cm then find its 22 circumference.
Answer:
44cm
Step-by-step explanation:
Since, diameter d=14cm
C=πd= 22/7 ×14= 44cm
A manufacturer is designing a square-based shipment box to transport its product from the manufacturing plant directly to customers. The volume of the box must be 100 cubic inches. Explain how the manufacturer can choose dimensions such that the surface area of the box is minimized (minimizing the quantity of materials needed to construct the box). Provide a mathematical justification, and be sure to include the surface-area-minimizing dimensions. Round all values to the nearest tenth.
Will mark brainliest please help!!
If the side be s
Volume is 100in³
So
side³=100s³=100s=³√100s=√10ins=3.14≈3.1inIn a bag, there are oranges and bananas. If we give away 135 bananas, the percentage of fruits in the bag that are bananas will decrease from 60% to 15%. How many oranges are there in the bag
The number of oranges that are in the bag is 120.
How many oranges are in the bag?The equation that represents the initial amount of bananas in the bag is: bananas / total number of fruits = 0.60
bananas = 0.60t equation 1
The equation that represents the number of bananas in the bag after 135 was removed is:
(b - 135) / t = 0.15
b - 135 = 0.15t equation 2
Where :
b - total number of bananas t = total number of fruitsSubstitute for b in equation 2 using equation 1
0.6t - 135 = 0.15t
0.6t - 0.15t = 135
t = 135 / (0.6 - 0.15)
t = 300
The initial number of bananas : 0.6 x 300 = 180
Number of oranges = 300 - 180 = 120
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Luke gets paid $13/hour. He got an
additional bonus of $50 for staying late one
day. He got paid $641.50 this month.
Write an equation, define your variable and
solve. How many hours did he work?
Answer: Luke spent 45.5 hours working
Step-by-step explanation:
let x = hours worked
[tex]641.5 = 13x + 50\\\\641.5-50 = 13x\\\\591.5 = 13x\\\\\frac{13x}{13}=\frac{591.5}{13} \\\\x=45.5[/tex]
We can conclude Luke spent 45.5 hours working
The stemplot below displays the times, in seconds, for 25 students to run 100 meters.
A stemplot titled 100 meter times (seconds) has values 22, 23, 23, 24, 24, 24, 25, 25, 25, 25, 26, 26, 26, 26, 26, 27, 27, 27, 28, 28, 28, 28, 29, 29, 30.
Are there any outliers?
No, there are no outliers.
Yes, 22 is an outlier.
Yes, 30 is an outlier.
Yes, 22 and 30 are outliers.
Since there is no value that is far removed from all others thus we can say that there are no outliers in the data set.
What is an outlier?In the process of statistical observation, an outlier is any value that lies too far away from other values in the data set.
If we look at the data set as shown, there is no value that is far removed from all others thus we can say that there are no outliers in the data set.
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Ming made 7 batches of muffins. She used 1.75 pounds of apples per batch. How many pounds of apples did Ming use to make all the muffins? 11.5 pounds 12.25 pounds 9 pounds 4 pounds
Answer:
12.25
Step-by-step explanation:
Multiply the pounds of apples by the batches.
1.75×7=12.25
7
i need help!!
math geniuses pls help me!
please help!!!!
——-
———
Answer:
1 sick chick FIL a have to be there by the time
Answer:
B is the correct choice.
Explanation:
r = 4sin∅, a = 4, R = 2
[tex]\begin{tabular}{c | l}\theta & r \\ \cline{1-2}\pi /6 & 2\\\pi /3 & 2\sqrt{3}\\\pi /2 & 4\\2\pi /3 & 2\sqrt{3} \\5\pi /6 & 2\\\pi & 0\end{tabular}[/tex]
Plot these points.
Click “show your work” and graph the absolute value function shown below. f(x) =|x – 4| + 1
Answer: here u go
Step-by-step explanation:
Iggy is practicing for a marathon by running laps on the
track at school. Each lap covers 0.7 kilometers, and he
has already run 19.6 kilometers. How many laps does he
need to run if he wants to complete 91 kilometers?
Please answer fast i really need this so i can get good grades.
Darnel drew a scale drawing of a swimming pool. the scale he used was 14 centimeters : 5 meters. if the actual width of the pool is 10 meters, how wide is the pool in the drawing? '
Answer:
28cm
Step-by-step explanation:
Given that;
14cm = 5m
x = 10m
cross multiply
5x = 140
divide both side by (5)
[tex] \frac{5x}{5} = \frac{140}{5} [/tex]
:- x = 28cm
In the following question solve for X please help!
Answer:
x = 6
Step-by-step explanation:
Taking the sides in proportion :
EB/DC = AB/AC8/24 = -3 + 2x/271/3 = -3 + 2x/273(-3 + 2x) = 27-9 + 6x = 276x = 36x = 6Step-by-step explanation:
If you have any question about the sollution, ask me
I have four marble, One red,Oneblue,OneGreen,Oneyellos.Without replacing the first marble, you choose a second marble. What is the probalility of choosing red and then green?
Answer:
1/8 or 12.5 percent
Step-by-step explanation:
So You first draw the red marble you have a 25 percent chance of that or 1/4 then you draw a green so just add 4 to the denominator!
Hope this helps!
25) Ted spent $25 on a shirt and $89 on a pair of shoes. Ted had $40 left in his wallet. How much money did Ted have before he spent money
on a shirt and shoes?
A) $114
B) $144
C) $154
D) $164
Need help asap!!!!!??????
Answer:
x=8
Step-by-step explanation:
the geometric mean(√(a*b)) of the segments of the hypotenuse is equal to the altitude of the triangle.
4^2 = 2x
16=2x
16/2 =x
8=x
Please help asap a spinner with 4 sections is spun 30 times. based on these results, what is the experimental probability that the next time the spinner is spun, it lands on yellow?
a. 4/15
b. 1/5
c. 7/30
d. 3/10
The experimental probability that the next time the spinner is spun, it lands on yellow is 4/15
How to determine the experimental probability?From the table of values, we have:
Yellow = 8
Total = 30
The experimental probability is then calculated using:
P(Yellow) = Yellow/Total
This gives
P(Yellow) = 8/30
Simplify
P(Yellow) = 4/15
Hence, the experimental probability is 4/15
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Calculate each probability, given that P(A) = 0.5, P(B) = 0.4 and P(A and B) = 0.1.
P(A | B). Show work!!
Answer:
P(A|B) =0.25
Step-by-step explanation:
P(A|B) = P(A and B) / P(B) = 0.1/0.4 =0.25
Chase goes to a restaurant and the subtotal on the
bill was a dollars. A tax of 7% is applied to the bill.
Chase decides to leave a tip of 15% on the entire bill
(including the tax). Write an expression in terms of x
that represents the total amount that Chase paid.
650 times what decimal gives me 3185?
Answer:
The decimal is 4.9
Write an equation for a line parallel to the line y=1/3x - 4 through (-3, 2)
keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above
[tex]y = \stackrel{\stackrel{m}{\downarrow }}{\cfrac{1}{3}}x-4\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
so we're really looking for the equation of a line whose slope is 1/3 and passes through (-3 , 2)
[tex](\stackrel{x_1}{-3}~,~\stackrel{y_1}{2})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{\cfrac{1}{3}}(x-\stackrel{x_1}{(-3)}) \\\\\\ y-2=\cfrac{1}{3}(x+3)\implies y-2=\cfrac{1}{3}x+1\implies y=\cfrac{1}{3}x+3[/tex]
Please help me solve the value of H for +10 points.
Answer:
133°
Hope this helps!!!
a monkey is trying to climb a coconut tree. he takes 3 steps forward and slips back 2 steps downwards. each step is 30 cm and each backward step is 40cm. how many steps are required to climb a 100cm tree? Thank you!
The function[tex]f(x)=-11sin (\frac{7}{3}x+\frac{1}{6}) - 2[/tex] models the average rate of change in temperature of a substance monitored in an experiment. In the function, x represents the number of minutes since the commencement of the experiment and the temperature of the substance is measured in degrees Fahrenheit.
Over what range of temperatures does the average rate of change in temperature fall?
Range of temperatures does the average rate of change in temperature fall -13F and 9 F
What is formula for Fahrenheit?The Fahrenheit temperature scale is used in the United States; the Celsius, or centigrade, scale is employed in most other countries and for scientific purposes worldwide. The conversion formula for a temperature that is expressed on the Celsius (°C) scale to its Fahrenheit (°F) representation is: °F = (9/5 × °C) + 32.
Given function:
f(x)= -11 sin(7/3 x+ 1/6) -2
The function will be maximum at
7/3 x +1/6= 3π/2
So, the maximum temperature will be
= -11 sin (3π/2) -2
= 11 -2
=9 F
The function will be minimum at
7/3 x +1/6= π/2
So, the maximum temperature will be
= -11 sin (π/2) -2
= -11 -2
= -13 F
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Can somebody please help me?
Answer:
1 23/36
Step-by-step explanation:
hope this helped
