To make hummingbird nectar you must use 4 cups of water and 1 cup of sugar. What is the ratio of water to sugar?
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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The skating rink rented 218 pairs of skates during the month of April and 3 times that many in May how many pairs of skates did the rink rent I during April and may
To find the total number of pairs of skates rented in April and May, multiply the number rented in April by 3 and add it to the number rented in May. The total number rented is 872 pairs.
Explanation:
To find the number of pairs of skates rented during April and May, we need to know the number of pairs rented in April and the number rented in May. We are given that 218 pairs were rented in April and that 3 times that amount were rented in May. To find the total, we can multiply the number rented in April by 3 and add it to the number rented in May.
Total number rented = (218 pairs in April) + (3 * 218 pairs in May)
Total number rented = 218 pairs + 3 * 218 pairs = 218 pairs + 654 pairs = 872 pairs
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If the area of a park is exactly between 2.4 and 2.5 acres what is the area of the park?
Answer:
The area of the park is 2.45 acres
Step-by-step explanation:
In order to get a number exactly between other two numbers, you have to add them and then divide that result by two. In a mathematical expression: (a + b)/2, where a and b are those two numbers. In this case, the exactly between 2.4 and 2.5 acres is (2.4 + 2.5)/2 = 2.45 acres.
Two math questions
1.
Consider the following pair of equations:
y = x + 4
y = –2x – 2
Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form. (5 points)
2. attached
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] .
f as a function of x is equal to the square root of quantity 4 x plus 6, g as a function of x is equal to the square root of quantity 4 x minus 6
Find (f + g)(x). (5 points)
The sum (f + g)(x) of two functions f(x) = √(4x + 6) and g(x) = √(4x - 6) is determined by simply adding the two functions together, hence (f + g)(x) = √(4x + 6) + √(4x - 6).
Explanation:The functions provided are f(x) = √(4x + 6) and g(x) = √(4x - 6). The question asks for the value of (f + g)(x), which is the sum of f(x) and g(x).
To find (f + g)(x), you simply add the two functions together. Hence, (f + g)(x) = f(x) + g(x) = √(4x + 6) + √(4x - 6).
This indicates that the function (f + g)(x) is the addition of the values of f(x) and g(x) at any given value of 'x'.
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The results of a car race are shown. Determine who drove the fastest. Explain. Cutwright: 35 laps, 84 minutes. Evans: 42 laps, 96.6 minutes. Loza: 38 laps, 102.6 minutes.
the table shows the amount of rainfall in maryville during each week in april what was the total amount if rain in that month of april
The total amount of rainfall in Maryville for the month of April, when expressed as a mixed fraction, is 5 and 1/24 inches. Therefore the correct option is H.
Step 1: Convert mixed numbers to improper fractions
For Week 1, we have 2 2/3 inches, which is a mixed number. We convert it to an improper fraction. Since 2 is equal to 6/3, adding 2/3 gives us 8/3 inches.
Step 2: Sum up the rainfall for all weeks
Now we add the rainfall for each week:
- Week 1: 8/3 inches
- Week 2: 1/8 inches
- Week 3: 1 3/4 inches, which is the same as 7/4 inches when converted to an improper fraction.
- Week 4: 1/2 inches
Step 3: Calculate the total rainfall
The total rainfall for April is the sum of all these amounts.
Let's perform this calculation.
The total amount of rainfall in Maryville for the month of April, when summed up and expressed as an improper fraction, is \( \frac{121}{24} \) inches.
This total is reached by adding the rainfall for each week:
- Week 1's rainfall is [tex]\( \frac{8}{3} \)[/tex] inches.
- Week 2's rainfall is [tex]\( \frac{1}{8} \)[/tex] inches.
- Week 3's rainfall is [tex]\( \frac{7}{4} \)[/tex] inches.
- Week 4's rainfall is [tex]\( \frac{1}{2} \)[/tex] inches.
Adding all these fractions together gives us the total rainfall for the month.
The total amount of rainfall in Maryville for the month of April, when expressed as a mixed fraction, is 5 and [tex]\( \frac{1}{24} \)[/tex] inches.
The volume of each cube is given. Estimate the side length of the cube to the nearest integer. Use the formula V=s(cubed). The volume of the cube is 520cm cubed
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.
How do you read 12.0045
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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Michael drove 210 miles in 3 1/2 hours. Jordan drove 330 miles in 6 hours. Which is an accurate comparison of the rates at which the two people drove?
Michael = 210 / 3.5 = 60 miles per hour
Jordan = 330/ 6 =55 miles per hour
Michael drove 5 miles per hour faster than Jordan
Answer:
M 5
Step-by-step explanation:
650mL = how many ounces ?
A car factory is able to produce a 120 cars per day. A new technology innovation improves the production by 10%. How many cars can the factory now produce in 5 days?
The number of cars produced in 5 days is 660.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
We have,
Number of cars produced per day = 120
Increased in production = 10%
Now,
We can make an equation for the number of production of cars in x days.
y = (110% of 120)x
y = 132x
Now,
The number of cars produced in 5 days.
= 132 x 5
= 660
Thus,
The number of cars produced in 5 days is 660.
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If 2/3 of the girls have brown eyes and 1/4 of the girls have blue eyes, what fraction of the girls in class have niether blue or nrown eyes?
Answer:
1/12
Step-by-step explanation:
The fraction of the girls in class that have neither blue or green eyes is given by B = 1/12 of the girls
What is a Fraction?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
Given data ,
Let the fraction of the girls in class that have neither blue or green eyes be represented as B
Now , the value of B is
Let the fraction of girls in the class that have blue eyes = ( 2/3 ) of girls
Let the fraction of girls in the class that have brown eyes = ( 1/4 ) of girls
So , the total fraction A = ( 2/3 ) + ( 1/4 )
The total fraction of girls with either blue of brown eyes A = ( 11/12 ) of girls
And , fraction of the girls in class that have neither blue or green eyes is given by B = 1 - A
On simplifying , we get
The fraction of the girls in class that have neither blue or green eyes is given by B = 1 - 11/12
The fraction of the girls in class that have neither blue or green eyes is given by B = 1/12
Therefore , the value of B is ( 1/12 ) of the girls
Hence , the fraction is 1/12 of the girls
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A rectangular box is 8 1/2 inches long, 5 1/4 inches wide, and 4 inches high. What is its volume?
What is the third quartile of the data displayed in the box-and-whisker plot? Box-and-whisker plot ranging from 34 to 58 with ticks at increments of one half. Plot defined by points at 35, 37, 41, 49, 55.
ninety percent of a school's students or 540 students attended a school assembly.how Manny students are there at the school?
what is the square root of 92 of the thenth place
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
Number 39 I'm so stuck help plz
the sides of a rectangle have a length of x + 6 units and a width of 7 x - 2 units what is the perimeter of the rectangle, in terms of x?
The terms in sequence A increase by 3. The terms in sequence B increase by 8. In which sequence do the terms form a steeper line when graphed as points on a coordinate plane? Justify your reasoning.
What happened to the owl who swallowed a watch It's a math riddle can you answer it?
Answer:Explained below
Step-by-step explanation:
"Owl no longer needs to watch as he already has one"
how can we rewrite and/ or simplify expressions in exponential form?
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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Rashida uses 8 cups of tomatoes and 3 cups of onions to make salsa. How many cups of onions should rashida use if she uses only 4 cups of tomatoes
What is 8.038 x 10 to the 8th power in standard form
8.038 x 10 to the 8th power in standard form is 803,800,000, which is obtained by moving the decimal point 8 places to the right and filling in zeros as needed.
To answer the student's question about converting 8.038 x 10 to the 8th power to standard form, we need to recognize the concept of scientific notation. When a number is written in scientific notation with a positive power of 10, like 8.038 x 108, it means the decimal point will move to the right the number of times indicated by the exponent. In this case, 8 places. So starting from 8.038, move the decimal point eight places to the right to convert it into standard form.
By doing so, we add zeros to fill in the places as we move the decimal point: 803,800,000. Therefore, 8.038 x 10 to the 8th power in standard form is 803,800,000.