Please help! I don't know how to do this.
The length of a rectangle is five times its width. The perimeter of the rectangle is at most 96 cm. Which inequality models the relationship between the width and the perimeter of the rectangle?
2w+2⋅(5w)>96
2w+2⋅(5w)<96
2w+2⋅(5w)≤96
2w+2⋅(5w)≥96
Let
L--------> the length of the rectangle
W-------> the width of the rectangle
we know that
the perimeter of the rectangle is equal to
[tex]P=2L+2W[/tex]
[tex]P\leq 96\ cm[/tex]
so
[tex](2L+2W)\leq 96[/tex] ---------> equation [tex]1[/tex]
[tex]L=5W[/tex] ---------> equation [tex]2[/tex]
Substitute equation [tex]2[/tex] in equation [tex]1[/tex]
[tex]2*(5W)+2W\leq 96[/tex]
therefore
the answer is the option
2w+2⋅(5w)≤96
Answer:
2w+2⋅(5w)≤96
Step-by-step explanation:
can someone please explain what I did wrong and, how I can fix this problem. can I get the explanation as soon as possible please. ❤️
You and your friend buy 2 fruit smoothies and leave a tip. You split the total and your half comes to 3.60. What percent tip did you and your friend leave if the fruit smoothies each cost $3 each
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What are some ways to describe the relationship between sets of numbers?
So like real numbers, Rational numbers, Integers, Whole Numbers, and Irrational numbers.
The sales tax rates from 4 different countries are shown in the table. Convert each sales tax rate to a decimal. Then sort the countries from least to greatest tax rates.
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What’s the greatest common factor for 30,48,60
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650mL = how many ounces ?
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To make hummingbird nectar you must use 4 cups of water and 1 cup of sugar. What is the ratio of water to sugar?
Which values for x and y make the statement (x - 5)(y + 6) = 0 true?
A. x = -5, y = 6
B. x = 5, y = -6
C. x = -5, y = -6
D. x = 5, y = 6
its b sis.
:') your welcome
how can we rewrite and/ or simplify expressions in exponential form?
A high school had 740 students at the start of the year, but then some students left the school. After that, the school had 726 students. If s = the number of students who left the school, which mathematical sentence expresses the information above? A. 740 - s = 726 B. s - 740 > 726 C. s - 740 = 726 D. 740 - s > 726
Answer:
A. 740 - s = 726
Step-by-step explanation:
The equation states: the original number of students, subtracting the number of students that left, represents the number of students now.
Correct option is (A) 740 - s = 726
Given that a high school had 740 students at the start of the year.
However some students left the school. After that, the school had 726 students.
Let 's' be the the number of students who left the school
Thus as 's' students left the school, there will be deduction of 's' students from the school
Now this deduction 's' would be from the 740 students which were present in the school and the resultant students after deduction is given to be '726'
Thus we can form the mathematical expression as follows,
[tex]740 - s = 726[/tex]
Thus '740 - s = 726' is the requires expression
A student wants to find the density of an egg as part of an experiment. If the weight of the egg is 57 g, and its volume is 48.25 mL, which measurement could be the most precise value of the density of the egg, in g/mL?
The most precise value of the density of the egg will be 1.18 g / mL.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
Weight of the egg = 57 g
Volume = 48.25 mL
Now,
Since, Weight of the egg = 57 g
Volume = 48.25 mL
We know that;
⇒ Density = Mass / Volume
Substitute all the values, we get;
⇒ Density = 57 g / 48.25 mL
= 1.18 g / mL
Thus, The density of the egg = 1.18 g/mL
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Joaquin recorded a temperature of 62°F this morning for science class. The temperature increased 6 1/2°F in the afternoon before decreasing 8.7°F in the evening. What was the evening temperature?
Answer: [tex]59.8^{\circ} F[/tex]
Step-by-step explanation:
Given : Joaquin recorded a temperature of 62°F this morning for science class.
The temperature increased [tex]6\dfrac{1}{2}^{\circ}F[/tex] in the afternoon before decreasing 8.7°F in the evening.
We can write [tex]6\dfrac{1}{2}[/tex] as [tex]6+\dfrac{1}{2}=6+0.5=6.5[/tex] .
Now According to the question , the temperature at evening will be :-
[tex]62^{\circ}F+6\dfrac{1}{2}^{\circ}F-8.7^{\circ}F\\\\=62^{\circ}F+6.5^{\circ}F-8.7^{\circ}F\\\\=(62+6.5-8.7)^{\circ}\ F=59.8^{\circ}\ F[/tex]
Hence, the evening temperature was [tex]59.8^{\circ} F[/tex] .
To prepare for the upcoming competition season, an Olympic skier trains 5 days per week. The average number of miles the skier will ski in 1 day is 25.7. How many miles does the Olympic skier ski in 1 week?
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Scientists find the same type of index fossil in two different locations on Earth. What can they conclude from this discovery?
Answer:
The index fossils are the same geological age.
Step-by-step explanation:
This could happen due to the split of the Earth millions of years ago. The Continental drift theory states that the Earth's continents have moved over geologic time relative to each other. Then, animals who were together at some time were separated by the continents drift.
The high temperature on Saturday was 6 F. The low temperature was -3 F. What was the difference between the high and low temperatures for the day?
It's the last Q in pic
Alim buys 2 t-shirts for $9.50 each, a 3-pack of socks for $7.95, and a pair of shoes for $7.95 and a pair of shoes for $49.95. The sales tax is 6%. to the nearest cent, what is the total cost of Alim's purchases? Helpp
Consider the following formula
ax - bx + y = z
which of the following represents the formula that could be used to find x?
A.) x= z-y/a-b
B.) x=a-b/z-y
C.) x= z-y/b-a
D.) x=y-z/b-a
Answer:
The right answer is C I took the assessment
The solution is:
x = (z - y)/(a - b), represents the formula that could be used to find x, from the expression ax - bx + y = z.
What is simplification?Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
here, we have,
given that,
the expression is:
ax - bx + y = z
now, we have to : Solve for x
Subtract y on both sides:
ax - bx = z - y
Factor GCF:
x(a - b) = z - y
Isolate x:
x = (z - y)/(a - b)
Hence, The solution is:
x = (z - y)/(a - b), represents the formula that could be used to find x, from the expression ax - bx + y = z.
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Number 39 I'm so stuck help plz
For your summer babysitting jobs you have 10 weeks to work before your family vacation and before you return to school in the fall. You are planning on earning and saving at least $1500 for your future car. Mrs. Harris is paying you $8.00 an hour to babysit during the day and Mrs. Sanchez is paying you $6.00 per hour to babysit her child in the evening.
• Let x = the number of hours you babysit for Mrs. Harris
• Let y = the number of hours you babysit for Mrs. Sanchez
1. Write an inequality describing the number of hours you want to work each week to reach your summer goal of at least $1500. Remember you have 10 weeks to work. How much do you want to average per week?
The inequality that represents the given situation is (8x + 4y [tex]\geq[/tex] 1500) and this can be determined by using the given data.
Given :
You have 10 weeks to work before your family vacation and before you return to school in the fall. For your future car you are planning on earning and saving at least $1500.$8 per hour is paid by Mrs. Harris.$6 per hour is paid by Mrs. Sanchez.The following steps can be used in order to determine the inequality that describes the number of hours you want to work each week to reach your summer goal of at least $1500:
Step 1 - Let the number of hours you babysit for Mrs. Harris be 'x' and the number of hours you babysit for Mrs. Sanchez be 'y'.
Step 2 - So, the inequality that represents the given situation is given below:
8x + 4y [tex]\geq[/tex] 1500
Now, the average per week can be determined by dividing 1500 by 10. So, you have to make $150 per week.
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Solve the inequality. -3/4x+1<10
Whats 95 closer to 64 or 125
To find out if 95 is closer to 64 or 125, we compare the absolute differences. 95 is 31 units away from 64 and 30 units away from 125. Therefore, 95 is closer to 125.
To determine whether 95 is closer to 64 or 125, we need to calculate the absolute differences between 95 and each of the two numbers:
Difference between 95 and 64: |95 - 64| = 31Difference between 95 and 125: |125 - 95| = 30Since 30 is smaller than 31, 95 is closer to 125 by 1 unit.