The required inequality solution is x ≤ 8.
What is inequality?
A connection that contrasts two numbers and perhaps other mathematical expressions inequitably is known as inequality in mathematics. On the number line, size comparisons involving two numbers are typically conducted.The interaction between two values that aren't equal is described by inequalities.An unequal comparison between two numbers and perhaps other mathematical expressions is called an inequality.x represents the number(no.) of people who can go to the amusement park.
They have no more than $125(one hundred twenty-five) to spend
Parking 15.00(fifteen), Tickets 12.50(12.five zero) per person
$15 + $12.50x ≤ $125
x = 110/12.5 ≤ 8.8
x ≤ 8
Therefore, the required inequality solution is x ≤ 8.
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Answer:
Inequality: 20p+9 ≤ 125
Answer: p ≤ 5.8
Step-by-step explanation:
Solve:
20p+9≤125
subtract -9 from both sides
20p≤116
20p/20 ≤ 116/20 Divide both sides by 20
p ≤ 5.8
(2 x 10³) x (4 x 106)
Answer: 848000
Step-by-step explanation:
(2 x 10³) x (4 x 106)
⇒2000 * 424
⇒ 848000
IV. Are these ratios equivalent? 12 birds to 60 animals 17 birds to 85 animals Yes No
Answer:
True
Step-by-step explanation:
Both fractions simplify to 1/5 and thus are equivalent
Help me pls I'm dying rn
a) The greatest common factor is 3. And the result is 3 × (6 + 7).
b) The greatest common factor is 7. And the result is 7 × (8 + 5).
What is the factor form of the sum of two integers?In this question we must find the greatest common factor, that is, the maximum integer with which can be divided the two number, and take advantage of this result to simplify the sum of the same two numbers, if possible.
First, we proceed to determine the required results for each of the two cases:
18 = 2 × 3 × 3
21 = 3 × 7
Then, the greatest common factor is 3. The complete procedure is:
18 + 21 = 2 × 3 × 3 + 3 × 7 = 3 × (6 + 7)
56 = 2³ × 7
35 = 5 × 7
Then, the greatest common factor is 7. The complete procedure is:
56 + 35 = 2³ × 7 + 5 × 7 = 7 × (8 + 5)
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How to write an expression for number of tokens needed for v video games if each game takes 4 tokens
Answer: 4v
Step-by-step explanation:
If 4 tokens are needed for each video game, then you multiply 4 by the number of video games v.
For example, 3 video games, each requiring 4 tokens, would require a total of 12 tokens. This can be also defined as:
v = 3
4*(3) = 12
the scale from a square park to a drawing is 5 m to 1 cm .the actual park has an area of 1600 m2 .what is the area of the drawing of the park
The area of the drawing of the park is 64 cm²;
Scale: Square park to Drawing = 5m:1cm
= 5m:0.01m;
Therefore; Square Park Area = 1600m²;
Drawing Area = 1600 ×(0.01/5)²
= 0.0064m² = 64 cm²
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f(x) = 7_4z
20
What is the value of f (6).?
0-0
10
10
5
O
O
15
Answer:
f(6) = [tex]\frac{3}{5}[/tex]
Step-by-step explanation:
substitute x = 6 into f(x)
f(6) = [tex]\frac{6^2-4(6)}{20}[/tex] = [tex]\frac{36-24}{20}[/tex] = [tex]\frac{12}{20}[/tex] = [tex]\frac{3}{5}[/tex]
The Formula A = 1/2BH can be used to find the area of a triangle. Solve the formula for H, and use your equation to find the height of a triangle with an 90 Cm2 and a base of 15 cm.
can someone help me solve it and figure out how to solve it
Answer: H=2A/B
H=12 cm
Step-by-step explanation:
A = 1/2BH
2A=BH
H=2A/B
H=2(90)/15
H=180/15
H=12 cm
The height of the triangle is 12 cm.
To solve the formula A = (1/2)BH for H, we need to isolate the variable H.
A = (1/2)BH
Multiply both sides of the equation by 2 to eliminate the fraction:
2A = BH
To solve for H, divide both sides of the equation by B:
H = 2A / B
Now we have the formula for H in terms of A and B.
To find the height of a triangle with an area of 90 cm² and a base of 15 cm, we can substitute these values into the formula:
H = 2(90) / 15
H = 180 / 15
H = 12 cm
Therefore, the height of the triangle is 12 cm.
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7. Kiara baked 12 oatmeal cookies and 16 chocolate chip cookies to package in plastic containers for her
friends at school. She wants to divide the cookies into identical containers so that each container has the same
number of each kind of cookie. If she wants to have the greatest number of containers possible, how many
containers does she need? How many oatmeal and chocolate chip cookies will be in each container?
The greatest possible containers required by Kiara is 4.
The number of oatmeal and chocolate chip cookies in each container is 3 and 4 respectively.
What is defined as the highest common factor?The highest common factor, or HCF, is the greatest number that divides each of two or more numbers.HCF is also recognised as the Greatest Common Measure (GCM) and the Greatest Common Divisor (GCD) .For the given question;
The total number of oatmeal cookies = 12.
The total number of chocolate chip cookies = 16.
Taking the HCF of 12 and 16 (the largest multiple pf 12 and 16).
HCF = 4.
Thus, the number of boxes requires is 4.
The oat place in one box is 3. In 4 boxes it will be 12.
Similarly, the chocolate chip cookies placed in one box is 4. In 4 boxes it will be 16.
Thus, the oat placed in each box is 3 and the chocolate chip cookies placed is 4.
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f(x) = 2x - 4
f(3) = [?]
Answer: f(3)=2
Step-by-step explanation:
f(x) = 2x - 4
f(3) =2(3) - 4
f(3) = 6-4
f(3)=2
HELP!!
What is the limit of the function in the graph at x=4
Greetings from Brasil...
Checking the side limits of the function f(x), we find that they are equal, so there is a limit of f(x) as x approaches 4
check the attachment
Graph the image of △RST after a reflection over the line y=x.
Answer:
Put S=(1,-10) R(-10,-8) T(-8,-9) Make sure to put a ´ after these letters when you put them down
Step-by-step explanation:
Solve for g.
G+1/ 2=2
Answe
G=1.5
Step-by-step explanation:
Evaluate the expression when m= -4
m2 +6m +9
Answer: 36. Substitute: - 32 - 6 * - 3 + 9 Remove the parentheses: 32 + 6 * 3 + 9 Calculate the power:9 + 6 * 3 + 9.
Step-by-step explanation: I hope this help
Answer:
= 1
Step-by-step explanation:
m² + 6m + 9
m = -4
= -4² + 6*-4 + 9
= 16 -24 + 9
= 25 - 24
= 1
Translate to an equation, but do not simplify or solve.
Eight more than x is equal to 53.
Solve the equation.
X =
+
Answer:
x + 8 = 53
Step-by-step explanation:
x + 8 = 53
8 more than x is x + 8 because ur adding 8 more to x. And that is equal to 53 because it literally says IS EQUAL to 53. therefore.
to solve isolate x by subtracting 8 from both side so:
x = 53-8
x = 45
The heights of all the newborns in a certain country are normally distributed,
with a mean of 18 inches and a standard deviation of 1 inch. A mother just
delivered a baby that is 16 inches long. Which of the following represents the
z-score of the baby's height? (Round your answer to two decimal places.)
The z-score of the baby's height is -2.0.
The baby's height (x) is 16 inches.A determined "center" value of a group of numbers, the arithmetic mean, is the average of the values.The mean of the heights of all the newborns in the country (µ) is 18 inches.The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.The standard deviation of the heights of all the newborns in the country (σ) is 18 inches.The z-score in statistics is the number of standard deviations that a raw score deviates from or exceeds the mean of the phenomenon being observed or assessed.Let the z-score be denoted by "z".z = (x-µ)/σz = (16-18)/1z = -2To learn more about standard deviation, visit :
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a car rent is $250 per week plus $0.1 per mile. Find the rental cost for a three week trip of 800 miles.
Answer:
$258
Step-by-step explanation:
y = mx + b
m is the miles and y is the total cost
y = .1(800) + 250
y = 8 + 250
y = 258
2.21x10^3= convert the expression to decimal form
2210
Scientific notation is a way to present extremely large or extremely small numbers in a more understandable way. We are aware that full numbers can go on forever, but we are unable to write such enormous figures on paper. Additionally, a simpler method of representation was required for the numbers that appear at the millions place after the decimal. This makes it challenging to represent a small number of integers in their enlarged form. We therefore employ scientific notations.
Expanding the term,
2.21 x 1000 = 2210
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How many kg of peanuts must Heather
add to 4 kg of mixed nuts containing 60%
peanuts to make a mixture with 92%
peanuts?
37.375 kg of peanuts must be added to the 4 kg of mixed nuts to make a mixture containing 92 % of peanuts.
Total mixture of mixed nuts = 4 kg
60 % of them are peanuts.
So, we will calculate the percentage:
Let x be the amount of peanuts.
60 / 100 x = 4 kg
0.6 x = 4 kg
x = 4 kg / 0.6
x = 6.67 kg
Now let the peanuts added be y
So, 92 % of ( 4 kg + y ) should be peanuts.
So, we get the equation as:
0.92 ( 4 ) + 0.92 y = 6.67 + y
3.68 + 0.92 y = 6.67 + y
0.08 y = 2.99
y = 37.375 kg
Therefore, 37.375 kg of peanuts must be added to the 4 kg of mixed nuts to make a mixture containing 92 % of peanuts.
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find the value of x
Answer:
102°
Step-by-step explanation:
540° ÷ 5 = 108° (sum of angles in a 5-sided figure = 540°)
360° ÷ 4 = 90° (sum of angles in a square = 360°)
180° ÷ 3 = 60° (sun of angles in a triangle = 180°)
360° - 108° - 90° - 60° = 102° (angles at a point add up to 360°)
x = 102°
(Do note that dividing the sum of angles by the number of sides is only applicable if all sides are equal.)
Hope this helps! ^^
Q. You work for a food wholesaler that provides ingredients for restaurants and other food
producers. A large-scale bakery needs 72 pounds of raisins. The raisins come in 12-ounce
boxes. A total of 24 boxes will fit in a case. How many cases of raisins should you ship to
them?
The cases that would be shipped is 4.
How many cases would be shipped?The first step is to convert pounds to ounce
1 pound = 16 ounce
16 x 72 = 1152 ounces
The next step is to determine how many boxes would be needed.
Boxes needed = 1152 / 12 = 96 boxes
The third step is to determine the number of cases that would be shipped.
Cases that would be shipped = 96 /24 = 4
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n=.1515
You need to multiply n by a power of 10 to help you find the fraction. Decide on the power of 10 to multiply by, and tell how you identified that number.
Answer:
the answer is two because ur multiplying hope this helps
Simplify the quantity 10 minus three fourths times the square root of 16 end quantity squared plus the quantity 2 minus 7 end quantity squared.
a. 1,394
b. 1,344
c. 74
d. 24
will give brainliest to whoever answers in the next 15 minutes
Simplifying the quantity 10 minus three fourths times the square root of 16 end quantity squared plus the quantity 2 minus 7 end quantity squared is: c. 74.
ExpressionThe given expression:
(10 - 3/4 × ✓16)² + (2 - 7)²
Hence,
Now let simplify the expression
(10 - 3/4 × ✓16)² + (2 - 7)²
=(10 - 3)² + (-5)²
= 7² + 5²
= 49+ 25
= 74
Therefore simplifying the quantity 10 minus three fourths times the square root of 16 end quantity squared plus the quantity 2 minus 7 end quantity squared is: option c. 74.
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Simplify to create an equivalent expression.
−
5
(
1
−
5
k
)
−
4
(
2
k
+
5
)
Answer:
Step-by-step explanation:
1) Distribute the numbers outside of the parenthesis to the numbers inside the parenthesis. This means multiple the outside number to all the numbers that are inside the parenthesis:
-5+25k-8k-20
2) Combine the like terms. The number with k get combined together since they both have a k. The numbers without a k get combined together. When you combine, you ADD the numbers together.
-13k+5
That should be right!
Help? What is the answer?
Answer:
at this point just hack it
Translate this phrase into an algebraic expression.
The sum of 17 and twice Matt's score
Use the variable m to represent Matt's score.
Answer:
17 + 2m
Step-by-step explanation:
Sum means 'The answer to a Addition equation' So it must be adding ( + )
Twice Matts score can be written in many ways but the simplest being 2m (2 x m) Or you could write m + m
Add 17 so therefore the answer must be:
17+2m
OR
17 + m + m
8 A geometric sequence has all
positive terms. The sum of the
first two terms is 15 and the sum
to infinity is 27.
a
Find the value of the common
ratio.
b Hence, find the first term.
Let the terms be a, ar, ar², ...
The sum to infinity being 27 means that:
[tex]\frac{a}{1-r}=27 \implies a=27(1-r)[/tex]
The sum of the first two terms being 15 means:
[tex]a+ar=15 \\ \\ (27-27r)+r(27-27r)=15 \\ \\ 27-27r+27r-27r^2 =15 \\ \\ 27r^2 -12=0 \\ \\ 27r^2 =12 \\ \\ r^2=\frac{12}{27}[/tex]
Since all the terms are positive, r>0.
[tex]\boxed{r=\frac{2}{3}} \\ \\ \implies a=27\left(1-\frac{2}{3} \right)=\boxed{9}[/tex]
The length of a bacterial cell is about 5 x 10 ^−6 m, and the length of an amoeba cell is about 3.5 x 10 ^−4 m. How many times smaller is the bacterial cell than the amoeba cell? Write the final answer in scientific notation with the correct number of significant digits.
1.4 x 10 ^1
7 x 10 ^1
143 x 10 ^1
7 x 10 ^3
Answer:7 x 10 ^1 is the right answer
Step-by-step explanation:
Hope this helps :)
There is the bacterial cell 7 × 10¹ times smaller than the amoeba cell which is the correct answer would be an option (B).
What is the Scientific Notation?Scientific Notation is a way of writing down in the easy form of very large or very small numbers.
We have been given that a bacterial cell is around 5 × 10⁻⁶ m long, while an amoeba cell is about 3.5 × 10⁻⁴ m long.
To determine the number of times smaller is the bacterial cell than the amoeba cell.
⇒ amoeba cell / bacterial cell
⇒ 3.5 × 10⁻⁴ m / 5 × 10⁻⁶ m
Apply the division operation, and we get
⇒ 0.7 × 10⁻⁴ × 10⁶
Adding the exponents of the above terms
⇒ 0.7 × 10⁻⁴⁺⁶
⇒ 0.7 × 10²
⇒ 7 × 10¹
Hence, there is the bacterial cell 7 × 10¹ times smaller than the amoeba cell.
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What is the perimeter of square STUV? HELP PLSSSS
The perimeter of square STUV is 32.98 units
Calculating perimeterFrom the question, we are to calculate the perimeter of the given square.
To do this, we will determine one side length of the given square
The length of a side is the distance between the two end points
Using the points U and T
U(-7, 9) and T(1, 7)
Using the formula for the distance between two points
d = √(x₂ - x₁)² + (y₂-y₁)²
x₁ = -7
y₁ = 9
x₂ = 1
y₂ = 7
Thus,
The distance, d, between the points is
d = √(1 - -7)² + (7-9)²
d = √(1 +7)² + (-2)²
d = √(8)² + 4
d = √64+ 4
d = √68
d = 8.2462
This means the length of each side of the square is 8.2462 units
l = 8.2462 units
The perimeter, P, of a square is given by
P = 4l
P = 4 × 8.2462
P = 32.9848
P ≈ 32.98 units
Hence, the perimeter of square STUV is 32.98 units
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Biking Tri
Maureen went on a 3 day, 59 mile biking trip. The first day she biked 15.5 miles. The second day she
biked 21.9 miles. How many miles did she bike on the 3rd day ?
Answer:
21.6 miles
Step-by-step explanation:
59-15.5-21.9= 21.6
or
21.6+15.5+21.9= 59
What basic fact can you use to help you solve 500 × 4
Answer:
500 x 4
500 x 4
5 x 4 =
20
Add the two 00's from 500.
You get 2,000.
Step-by-step explanation:
Well, we can focus on the number 5 from 500 and multiply it by 4 to receive the answer of 20 because we can assume the person solving this question knows simple multiplication factors and how to solve 5 times 4. Then, we can add the two zeros from the 500. Thus, it's 2,000.
Hope this helps.
Answer:2,000
Step-by-step explanation:
500x4
take the zeros
5x4=20
then add the zeros
it will be 2,000