HW Help -
6(−3−x)−2x=14
x = ___
14=2c−6+3c
c = ___
−7.5(x−3)=3.75
x = ___
3/5(r−7)=1
___
3.5(t+6)=7
A - -4
B - -0.25
C - 0.25
D - 4
WORTH 50 POINTS 4. Tom decided to join Platinum Gym because of its new equipment. At the grand opening, the manager announced that 124 people had signed up for gym membership. As part of the grand opening event, the manager waived the registration fee for 50 random people.
(a) Write an expression to represent how much money Platinum Gym will make from the grand opening memberships. Simplify the expression and label any variables.
(b) After 6 months, how much money will Platinum Gym have made from the original 124 people who joined at the grand opening, assuming that all 124 people are still members? Show your work.
Which equation shows how to find the product of 100,000 and 1,000,000 using scientific notation?
A) 100,000 × 1,000,000 = (1 × 10^5) × (1 × 10^6) = 1 × 10^(5 + 6) = 1 × 10^11
B) 100,000 × 1,000,000 = (1 × 10^5) × (1 × 10^6) = 1 × 10^(5 × 6) = 1 × 10^30
C) 100,000 × 1,000,000 = (1 × 10^6) × (1 × 10^7) = 1 × 10^(6 + 7) = 1 × 10^13
D) 100,000 × 1,000,000 = (1 × 10^6) × (1 × 10^7) = 1 × 10^(6 × 7) = 1 × 10^42
Answer:A
Step-by-step explanation:
The answer to the question is A.) 100,000 × 1,000,000 = (1 × 10^5) × (1 × 10^6) = 1 × 10^(5 + 6) = 1 × 10^11
which is the absolute value of 9 and -9
Shaylyn measured her house as 5 meters tall. Which of these is an equivalent measurement?a. 0.3 milesb. 7.3 yardsc. 16.4 feetd. 27.2 inches
three times a number, minus 5, is equal to two times the number, plus 9 find the number
Ava read 110 books in 11 months. How many books per month did she read
What values are needed to make each expression a perfect square trinomial?
x2 + 4x +_____________
x2 – 10x + ____________
Answer:
Part a) [tex]x^{2}+4x+4[/tex]
Part b) [tex]x^{2}-10x+25[/tex]
Step-by-step explanation:
we know that
A perfect square trinomial is equal to
[tex](x+a)^{2} =x^{2}+2ax+a^{2}[/tex]
Part a) we have
[tex]x^{2}+4x[/tex]
Compare with the formula of a perfect square trinomial
[tex]x^{2}+4x=x^{2}+2ax+a^{2}[/tex]
so
[tex]4x=2ax[/tex]
[tex]4=2a[/tex]
[tex]a=2[/tex]
therefore
[tex](x+a)^{2} =(x+2)^{2}=x^{2}+4x+4[/tex]
Part b) we have
[tex]x^{2}-10x[/tex]
Compare with the formula of a perfect square trinomial
[tex]x^{2}-10x=x^{2}+2ax+a^{2}[/tex]
so
[tex]-10x=2ax[/tex]
[tex]-10=2a[/tex]
[tex]a=-5[/tex]
therefore
[tex](x+a)^{2} =(x-5)^{2}=x^{2}-10x+25[/tex]
The values are needed to make each expression a perfect square trinomial x^2 + 4x + 4 and x^2 – 10x + 25.
What is a perfect square?A perfect square is a number system that can be expressed as the
square of a given number from the same system.
A. [tex]x^{2} +4x+4[/tex]
A perfect square trinomial is
[tex](x+a)^2 = x^2 + 2ax + a^2[/tex]
Compare with the formula of a perfect square trinomial
4x = 2ax
4 = 2a
a = 2
Therefore, [tex](x+a)^2 = (x+2)^2 = x^{2} +4x+4[/tex]
B. [tex]x^{2} -10x + 25[/tex]
A perfect square trinomial is
[tex](x+a)^2 = x^2 + 2ax + a^2[/tex]
Compare with the formula of a perfect square trinomial
-10x = 2ax
-10 = 2a
a = -5
Therefore, [tex](x+a)^2 = (x-5)^2 = x^{2} -10x+25[/tex].
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A bread making machine costs $99.The ingredients to make a one pound loaf of bread costs $0.45 .At store, you pay 2.19 for the same size loaf of bread.How many whole loaves of bread will you have to make in order for the cost of the machine and ingredients to be less than the cost of buying an equivalent Amount of bread at the store.
To determine the number of loaves of bread needed to make the cost of the machine and ingredients less than buying bread at the store, set up an inequality and solve for 'x'. With the given values, you would need to make at least 5 whole loaves of bread.
Explanation:To determine how many loaves of bread will need to be made for the cost of the machine and ingredients to be less than the cost of buying bread at the store, we need to compare the costs of making bread and buying bread.
The cost of making a one pound loaf of bread using the machine and ingredients is $0.45. The cost of buying a one pound loaf of bread at the store is $2.19.
Let's assume the cost of making each whole loaf of bread is $0.45. We can set up an inequality to represent the situation:
0.45x < 2.19
Where 'x' is the number of loaves of bread that need to be made.
To solve for 'x', we divide both sides of the inequality by 0.45:
x > 2.19/0.45
Using a calculator, we find that x > 4.87. Rounded up, this means you would need to make at least 5 whole loaves of bread in order for the cost of the machine and ingredients to be less than buying bread at the store.
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the amount of money rqised at a charity fundraiser varies directly with the number of attendees. the amount of money raised by 14 attendees was $231. how much money will be raised if there 45 attendees?
Jack travels 2.45 miles to school. Wanda travels 2.31 miles to school. Compare the distances using words
Grace’s catering company receives an order for 118 Apple pies. Grace used 8 Apples to make one apple pie. How many apples does she need to make all 118 pies?
What is 15 divide by 5/9
Terri Clifford bought a Sunday dress for $36. The sales tax was 6%. Find the total cost of the dress.
The measure of angle A = ____ degrees.
Is the square root of 12-2 rational or irrational?
your bumper car hits your friends bumper car causing her to move forward what kind of energy was experienced
Answer:
kinetic energy!
Step-by-step explanation:
16.9÷(-1.3)
[tex]16.9 \div ( - 1.3)[/tex]
Solve the following proportion for x 6/7 = 48/x
PLEASE HELP!!!!!!!!!!!!!!!!
What value correctly fills in the blank so that the expressions are equivalent?
18 + 45 = ___ ´ (2 + 5)
2
3
7
9
These numbers are not square numbers. Which two consecutive square numbers is each number in between
a. 7
B.30
c.50
d.90
round 54.953 to the nearest whole number
A coral reef grows 0.13 m every week how much does it grow in 12 weeks
Final answer:
To find out how much a coral reef grows in 12 weeks, with a weekly growth of 0.13 m, multiply the growth rate by the number of weeks, resulting in a total growth of 1.56 m.
Explanation:
If a coral reef grows 0.13 m every week, to find out how much it grows in 12 weeks, we simply need to multiply the weekly growth rate by the number of weeks:
Weekly growth rate = 0.13 m
Number of weeks = 12
Therefore, the total growth over 12 weeks is:
0.13 m/week × 12 weeks = 1.56 meters.
In 12 weeks, the coral reef grows by a total of 1.56 meters.
A train travels at a constant speed of 75 mi/h. The function f(x) = 75x gives the distance that the train travels in x hours. Graph this function and give its domain and range.
f(x) = 75x represents the distance covered by a train traveling at a constant speed of 75 mi/h. The graph is a line with a constant slope of 75, originating from (0,0). The domain and range of the function are both all non-negative real values ([0, +∞)).
Explanation:To graph the function f(x) = 75x, where x represents time in hours and f(x) represents distance in miles, we construct a simple 2D graph. In this case, the graph will be a straight line sloped upward, starting from the origin (0,0), since the time and distance both start from zero. The slope of the line corresponds to the speed of the train, 75 mi/h, indicating that the train covers 75 miles each hour.
The domain, or possible x-values, of this function are all non-negative real numbers since time cannot be negative. In mathematical terms, this is [0, +∞). The range, or possible f(x)-values, are also all non-negative real numbers as the distance covered also cannot be negative. So, the range is also [0, +∞).
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What is the angular position in radians of the minute hand of a clock at 10:35?
the difference between three times a number and 7 is 14
HELP ME PLS I NEED TO FIGURE OUT 8/15 TIMES -3/10!!!!! PLS TELL ME
a water tank is 1/8 full. the tank is 3/4 full when 42 gallons of water are added to the tank. How much water is in the tank when it is 1/2 full?
Chalene wants to cut her hair but is a little nervous. She decides to cut it off slowly so she can get used to it as it gets shorter. Right now, her is is 11.5 inches past her shoulders. She decides to cut an inch and a half off her hair every week. Write an expression to describe the length of her hair in relationship to her shoulders.
Final answer:
The length of Chalene's hair in relation to her shoulders can be described using the expression:
Length of hair = 11.5 - 1.5n,
where 'n' represents the number of weeks. Each week, Chalene cuts 1.5 inches off her hair.
Explanation:
To describe the length of Chalene's hair in relation to her shoulders, we can use the expression:
Length of hair = 11.5 - 1.5n
where 'n' represents the number of weeks.
Each week, Chalene cuts 1.5 inches off her hair, so we subtract 1.5 from the previous length to get the new length.
For example, after 1 week, the length of her hair will be 11.5 - 1.5(1) = 10 inches past her shoulders.
Lincoln Middle School plans to collect more than 2000 cans of food in a food drive. So far, 668 cans have been collected. Write an inequality to find numbers of cans the school can collect on each of the final 7 days of the drive to meet this goal. Identify what your variable represents.