Answer:
3o + 2a = $45 ( you can buy 9 oranges and 9 apples)
Step-by-step explanation:
First I divided 45 by 3 and I got 15 so now I know that 15 is the highest amount of oranges I can buy without going over $45. I also know that 15 cannot be an answer because I also have to buy apples.
Then I divided 45 by 2 and 22 was the highest whole number.
Now I would play trial and error BUT i know that the number for oranges have to be less that 15 and the number for apples has to be less than 22.
3 times 9 equals 27 (oranges)
45 - 27 = 18
2 times 9 equals 18 (apples)
3o+2a =$45 is the equation in standard form modeling this situation.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that in a supermarket, each orange costs $3, and each apple costs $2.
Let o represents the number of oranges you buy
and a represent the number of apples you buy.
If you want to spend exactly $45
We have to find the equation to model this situation
3o+2a =$45
Hence, 3o+2a =$45 is the equation in standard form modeling this situation.
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The Following tile floor pattern is made of 36 square tiles.
[][][][]
[][][][]
[][][][]
[][][][]
[][][][]
[][][][] 42.75 Inches
[][][][]
[][][][]
[][][][]
[][][][]
Which is the side length. in inches of one tile?
A 1.25
B 4.25
C 4.75
D 10.75
A survey of licensed drivers inquired about running red lights. One question asked, "Of every 10 motorists who run a red light, about how many do you think will be caught?" The mean result for 880 respondents was
¯x= 1.92. Suppose we know that σ = 1.83. Compute a 95% confidence interval for the mean opinion in the population of all licensed drivers. (Round your answer to the nearest hundredth.)
Answer: (0.79, 3.05 )
Step-by-step explanation:
Confidence interval for the population mean:
[tex]\overline{x}\pm z^c\dfrac{\sigma}{\sqrt{n}}[/tex]
, where [tex]\overline{x}[/tex] = Sample mean
[tex]\sigma[/tex] = population standard deviation
n= sample size.
[tex]z^c[/tex] = Critical z value for confidence interval c.
As per given:
n= 10
[tex]\overline{x}=1.92[/tex]
[tex]\sigma=1.83[/tex]
Critical z-value for 95% confidence = 1.96
A 95% confidence interval for the mean opinion in the population of all licensed drivers:-
[tex]1.92\pm (1.96)\dfrac{1.83}{\sqrt{10}}\\\\=1.92\pm1.134\\\\= (1.92-1.134,\ 1.92+1.134)\\\\\approx(0.79,\ 3.05 )[/tex]
Hence, a 95% confidence interval for the mean opinion in the population of all licensed drivers = (0.79, 3.05)
Simplify the expression. .
2.3h( 6 – k)
Step by step please
Answer:
18h - 3hk
Step-by-step explanation:
3h(6 - k)
= 3h(6) + 3h(-k)
= 18h + -3hk
= 18h - 3hk
The simplified for of the expression 2.3h(6 - k) can be written as 13.8h - 2.3hk
Given the expression :
2.3h(6 - k)
Open the bracket ; multiply values in the bracket by 2.3h
13.8h - 2.3hk
Since there is no other way to reduce the expression further, then the simplified form of the expression would be expressed as 13.8h - 2.3hk
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Solve for X......:) <3
Answer:
x = 88
Step-by-step explanation:
All angles in a triangle equal 180 degrees. So our equation will be:
x + 48 + (x - 44) = 180
x + 48 + x - 44 = 180
2x + 48 - 44 = 180
2x + 4 = 180
2x = 176
x = 88
Hope this helps!
Select the correct answer. What is 8,400 divided by 7? A. 1,200 B. 1,300 C. 1,700 D. 1,900
Answer 8400 divided by 7 is 1200
an employee works 22 days per month. if they work an average of 8 1/4 hours per day how many hours do they work per month?
Answer:
181 [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
To find how many hours they work per month multiply the amount of hours they work each day by the amount of days they work in a month:
[tex]22 *8\frac{1}{4} = 181\frac{1}{2}[/tex]
They work [tex]181\frac{1}{2}[/tex] hours per month.
Hope this helps :)
Let H = the amount of hours the employee works per month.
H = 22 • 8_1/4
H = 22 • 33/4
H = 11 • 33/2
H = 363 ÷ 2
H = 181.5 hours per month
To adopt a dog from a animal shelter, you must pay 08$ for vaccinations, 65$ to spray or neuter the dog, and 50$ for a wellness exam by a veterinarian
Answer:
ok, $65+$50+$8=123
Step-by-step explanation:
what is the value of x?
Answer:
12
Step-by-step explanation:
Answer:
In algebra, it is easy to find the third value when two values are given. Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side.
Step-by-step explanation:
The LCM of 6 and 10 is _______. Numerical Answers Expected! Answer for Blank 1:
Answer:
2
Step-by-step explanation:
2 times 3 6
2 times 5 is 10
Answer:
30
Step-by-step explanation:
The LCM of 6 and 10 is 30.
Question 2: At a swimming pool the ratio of those wearing sunscreen to
those not wearing sunscreen was 7 to 5. If the number of people not
wearing sunscreen was 30 then which of the following was the number of
people who were wearing sunscreen? *
—————————-
25
36
38
42
Answer:
42
Step-by-step explanation:
It’s you birthday and you bought a giant sandwich to feed all of your guests. The sandwich is 10 1/2 feet long and you need to feed 14 people. If everyone gets a same sized piece how big is the piece going to be?
I NEED THIS ANSWER ASAP PLZ
Answer: [tex]1\dfrac{3}{4}\text{ feet}[/tex]
Step-by-step explanation:
Given: Length of sandwich = [tex]10\dfrac12\text{ feet}=\dfrac{21}{2}\text{ feet}[/tex]
Total people = 14
If everyone gets a same sized piece , then length of each piece should be
[tex]\dfrac{\text{ Length of sandwich}}{\text{Total people}}[/tex]
[tex]=\dfrac{\dfrac{21}{2}}{14}\text{ feet}\\\\=\dfrac{21}{2\times14}\text{ feet}\\\\=\dfrac{7}{2\times2}\text{ feet}\\\\=\dfrac{7}{4}\text{ feet}\\\\=1\dfrac{3}{4}\text{ feet}[/tex]
Hence, length of each piece = [tex]1\dfrac{3}{4}\text{ feet}[/tex]
5. If Peppermint Patty brought 5 pumpkin pies (that each had 8 slices in them), how many
pieces of pie would each person at the dinner get to eat? (hint-use your answer from #4
to help you).
Someone pls help me immediately
Answer:
Well, I dont know how many people there are, but she would have 40 slices of pie if she bought 5 pies with 8 slices each.
Step-by-step explanation:
5 x 8 = 40
5+5+5+5+5+5+5+5=40
What is the solution set of x/4 is less than 9/x?
Answer:
D
Step-by-step explanation:
[tex]\frac{x}{4}\leq \frac{9}{x} \\x\leq \frac{36}{x} \\let x<0\\x^2\geq 36\\|x|\geq 6\\x\leq -6~and ~x\geq 6\\but~x<0\\so~x\leq -6\\again~let~x> 0\\\\x\neq ~0\\x^2\leq 36\\|x|\leq 6\\-6\leq x\leq 6\\as~x>0\\so~0< x\leq 6[/tex]
combininig the two cases
x≤-6 and 0<x≤6
The domain is 0. 1, 2, 3, 4, and 5. What is the range?
The range of the domain 0. 1, 2, 3, 4, and 5 would be 5.
What is a range?When the sample maximum and minimum are subtracted, the range of a collection of data is the difference between the greatest and lowest values. It uses the same units as the data to express itself.
The lowest and largest numbers in the set of data are subtracted to determine the range. Here, the numbers are 0 and 5. Thus, after subtraction, you get 5.
The range will be calculated as:-
Range = 5 - 0
Range = 5
Hence, the range will be 5.
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4.
3. A full container of juice holds 64 fluid
ounces. How many 7-fluid ounce servings
of juice are in a full container?
Answer:
9.1 or 9.1 ≈ 9
Step-by-step explanation:
All you have to do is divide 64/7 which gives you the number of containers.
Hope this helps!
1. Ericka owns a square lot with a land area 237 square feet. To the nearest
hundredths of a foot, what is the side length of the kitchen floor?
2. Aevryn wants to use this tile to finish the floor in her room. The room is a
square room and the area of the floor is 441 square feet. She wants to put
8° tiles along the edge of the floor.
a. What is the length of one side of the room?
b. How many tiles can she fit along one side?
3. You use one gallon of white paint to apply a base coat of paint on a square
wall mural. The paint covers 380 square feet per gallon. Estimate the side
length of the mural to the nearest hundredths of a foot.
Answer:
no se te entiende nada.
:v
Which symbol correctly compares these two fractions? 7/8 and 2/3
Answer: >
Step-by-step explanation:
7 eights is greater than the amount of 2 thirds.
The answer to the question is >. Hope this helps!
Which equation is equivalent to n + 4 = 11? *
O (n + 4) x 2 = 11
O (n + 4) x 2 = 11 / 2
(n+ 4) x2 = 11 x 4
(n + 4) x 2 = 11 x 2
Answer: b.
Step-by-step explanation: I have the answer sheet
HELP! THIS IS DUE TODAY AND ITS A TEST!
Jack needs 7.58 meters of wood to complete a school project. He buys a 2.25 meter plank of wood and a 3.12 meter plank of wood. How many more meters of wood does Jack need to buy for his school project?
Answer:
2.21
Step-by-step explanation:
Total meters of wood = 7.58
first time shopping: 2.25
second time shopping: 3.12
total = 2.25 + 3.12
total = 5.37
How many more meters of wood does Jack need to buy for his school project?
Meters needed = 7.58 - 5.37
Meters needed = 2.21
What type of function can be used to determine side length of a square if the independent variable is the square's area?
a. Cubic
b. Linear
c. Quadratic
d. Square root
Find the slope of the lines that passes through the points (-8,-11) and (17,4).
Answer:
[tex]\displaystyle m=\frac{3}{5}[/tex]
Step-by-step explanation:
The slope of a line.
Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
We are given the points (-8,-11) and (17,4).
[tex]\displaystyle m=\frac{4+11}{17+8}[/tex]
[tex]\displaystyle m=\frac{15}{25}[/tex]
[tex]\mathbf{\displaystyle m=\frac{3}{5}}[/tex]
tools used to physically represent numbers
Answer:
The most frequently employed tools are traditional, which include physical ... These three tools can be used independently or conjointly, depending on the type of ... Learning tools can represent mathematical ideas in multiple ways, providing ... nature of concepts, such as numbers, thereby making them real and tangible,...
Step-by-step explanation:
Which is the correct answer choice?
Answer:
second one I think is best for you to do
Answer: Plain coffee
Step-by-step explanation:
The two branches (2 and 3) divide into the two drinks of the sale. Since espresso is already in the diagram and coffee is not, and coffee is independent from espresso, coffee is found in box 1.
Which equation is parallel to y=-3 x + 4 and passes through the point (-3, 4)?
Answer:
y=−3x-5
Step-by-step explanation:
Answer:
Find the slope of the original line and use the point-slope formula y−y1=m(x−x1)to find the line parallel to y=−3x+4y
y=−3x−5y
What is the slope of the line that passes through the points (2, -3) and (5, 1)?
1.-2/3
2.2/3
3.-4/3
4.4/3
Answer:
4/3
Step-by-step explanation:
To find the slope you use the equation y2 - y1 / x2 - x1. This means you take the y variable from your 1st point and subtract it from the y variable from the 2 one. ex: 1 - (-3) = 4 And then put it over the x variable from the first one subtracted from the x variable of the second one ex: 5 - 2 = 3 -> 4/3. If possible, simplify, but if it's like this one you don't have to.
Which function is shown in the graph below?
Answer:
D
Step-by-step explanation:
As you can see, the range of the graph is all real numbers greater than -4. Therefore you can tell that -4 will have to be in the equation leaving only options B and D. When graphing B and D, D fits the image.
In the figure below, ∠DEC ≅ ∠DCE, ∠B ≅ ∠F, and segment DF is congruent to segment BD . Point C is the point of intersection between segment AG and segment BD while point E is the point of intersection between segment AG and segment DF .
Prove ΔABC ≅ ΔGFE. (10 points)
Answer:
Step-by-step explanation:
Given:
∠DCE ≅ ∠DEC
∠B ≅ ∠F
DF ≅ BD
To prove:
ΔABC ≅ ΔGFE
Solution:
Statements Reasons
1). ∠DCE ≅ ∠DEC 1). Given
2). ∠ACB ≅ ∠GEF 2). Vertically opposite angles to the
congruent angles.
3). ∠B ≅ ∠F 3). Given
4). DB ≅ DF 4). Given
5). DC + CB ≅ DE + EF 5). Segment addition postulate
6). DC ≅ DE 6). Property of isosceles triangle
7). CB ≅ EF 7). Transitive property
8). ΔABC ≅ ΔGFE 8). ASA property of congruence
In our planet Earth 361,419,000sq km of area covered with water and
148,647,000sqkm is covered by land. Find the approximate ratio of area covered
with water to area covered by land by converting these numbers into scientific
notations
The Ratio of area covered with water to area covered by land is 2.43 * 10⁰
Area covered by water = 361,419,000 km²
Area covered by land = 148,647,000 km²
Ratio of area covered with water to area covered by land is:
Ratio = 361,419,000 km² / 148,647,000 km² = 2.43 * 10⁰
The Ratio of area covered with water to area covered by land is 2.43 * 10⁰
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What is greater 1.036 1.306
Answer:
1.306
Step-by-step explanation:
1.3 is bigger than
1.03
Answer:
1.306 is greater
Step-by-step explanation:
In the ones place, the number one is equal for both numbers, so you move to the next number in the tenth place, which is .0 and .3 Three is greater than zero, which makes 1.306 greater than 1.036.
Find the slope of the line through the
given points: (2.5) & 4, 10).
Answer:
5
_
2
IS THE SLOPE OF (2,5) (4,10)
Answer:
Slope = 5/2
Step-by-step explanation:
10-5
4-2