Answer:9.675 because it’s less than 9.70 and 9.75
Step-by-step explanation:
Is 518 decimal number
Answer:
no
Step-by-step explanation:
because there is supposed to be a decimal point for example 5.18 there needs to be a period
Answer:
what do you mean there is not decimal in the number you could make it a decimal tho
it would be 5.18 as a decimal
Step-by-step explanation:
Write the equation of a line PERPENDICULAR to y = 4x + 3 that passes through the point (4, 1)
Answer:
y = 1/4x
Step-by-step explanation:
The slope changes from 4 to 1/4
so,
y = 1/4x + b
Then, plug in (4,1) into the equation
1 = 1/4(4) + b
1 = 1 + b
b = 0
y = 1/4x + 0
y = 1/4x
what is 9k + 1 = ─9 + 7k solved for the variable???
Answer:
k = -5
Step-by-step explanation:
The variable is k
9k + 1 = -9 + 7k
-7k -1
2k = -10
2k/2 -10/2
k = -5
:)
Which statement is false? All points with an x-value of 3 are located in Quadrant I. There is only one point on the coordinate plane that is on both the x- and y-axes. All points with an x-value of 0 are located on the y-axis. There is only one point on the coordinate plane with an x-value of 2 and a y-value of 2.
Answer: Choice A) All points with an x-value of 3 are located in Quadrant I.
We can show it is false through the use of a counter example. For instance, the point (3, -5) is not in quadrant 1, but rather in quadrant 4.
We would need to say "all points with x value 3 and positive y value" to ensure the point is in quadrant 1.
The false statement:
All points with an x-value of 3 are located in Quadrant I.
What are coordinates?Coordinates are a pair of integers (Cartesian coordinates), or occasionally a letter and a number, that identify a certain place on a grid, often referred to as a coordinate plane.
From the given choices:
Let the statement is true.
All points with an x-value of 3 are located in Quadrant I.
Let the coordinate point (3, -7)
This point lies in the fourth quadrant.
Which is contradiction.
Therefore, the statement is false.
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the longer diagonal is 4 more than the shorter diagonal of a kite. The area is 5 times the shorter diagonal. If the shorter side is 6 cm. Find the longer diagonal and the area.
How do you do this please explain!
A storage company designs a rectangular box with an open top that has a volume of 220 in3. Each box has a length that is three times its width. Calculate the minimum surface area of one of these boxes. Round your answer to three decimal places.
Answer:
191.016 in²
Step-by-step explanation:
Let the volume of the cube be V = lwh where l = length of box, w = width of box and h = height of box.
Now l = 3w.
So, V = lwh = (3w)wh = 3w²h
h = V/3w²
Since the rectangular box is open at the top, its total surface area is A = lw + 2lh + 2wh
substituting l = 3w, we have
= (3w)w + 2h(l + w)
= 3w + 2h(3w + w)
= 3w² + 2h(4w)
= 3w² + 8wh
substituting h = V/3w²
= 3w² + 8w(V/3w²)
A = 3w² + 8V/3w
Differentiating A with respect to w and equating it to zero, we have
dA/dw = d[3w² + 8V/3w]dw
dA/dw = d3w²/dw + d(8V/3w)/dw
dA/dw = 6w - 8V/3w²
dA/dw = 0
6w - 8V/3w² = 0
6w = 8V/3w²
6w³ = 8V/3
w³ = 8V/(3 × 6)
w³ = 4V/9
w = ∛(4V/9)
substituting V = 220 in³, we find the minimum value for the width
w = ∛(4 × 220 in³/9)
w = ∛97.7778
w = 4.607 in
To determine if this is a minimum value of width which gives minimum area, we take the second derivative of A. So,
d²A/dw² = d(6w - 8V/3w²)/dw
= 6 + 16V/3w³
substituting w³ = 4V/9, we have
d²A/dw² = 6 + 16V/3(4V/9)
= 6 + (16 × 9)/(3 × 4)
= 6 + 4 × 3
= 6 + 12
= 18
Since d²A/dw² = 18 > 0 , w = ∛(4V/9) = 4.607 in gives a minimum for the surface area.
So, we calculate this area by substituting w = 4.608 in. So,
A = 3w² + 8V/3w
= 3 × (4.607 in)² + (8 × 220 in³)/(3 × 4.607 in)
= 63.6733 in² + 1,760 in³/13.821 in
= 63.6733 in² + 127.3424 in²
= 191.0157 in²
≅ 191.016 in² to three decimal places.
Largest prime factor of 35 x the smallest prime factor of 15
Answer:
7x3=21 ... i think
Step-by-step explanation:
the factor of 35 is 1,5,7 and 35 but 7 is the largest prime number like the factors of 15 is 1,3,5 and 15 but 3 is the smallest prime number according to the question the answer is 7x3+21
Find the slope (0,0) and (4.16)
Find the slope (0,0) and (4,8)
Answer:
first one is 4
second is 2
Step-by-step explanation:
let me know if you need to show work
Answer:
first one is 4, 2nd one is 2
Step-by-step explanation:
the floor of a shed has an area of 77 square feet the floor is in the shape of a rectangle whose lenght is 3 ft. less than twice the width find the lenght and the width of the floor of the shed use formula area= lenght *width the width of thee floor of the shed is how many feet ft.
Answer:
x=40
Step-by-step explanation:
2−3=77
2−3+3=77+3
2=77+3
2x=80
2x/2=80/2
x=80/2
x=40
What value of y makes the equation below true?
2y – 25 = 19
44
A
B
22
C
с
-3
oo
D
-6
Please hurry
Answer:
b
Step-by-step explanation:
2*22 = 44
44-25 = 19
You have a budget of $1,900 per week for employees. Employees are pald $11 per hour and work 40 hours per week.
Ignoring overhead, how many employees can you hire ?
[tex]\boldsymbol{4}[/tex] employees were hired by the company.
Define unit method.Amount of total budget [tex]=\$1,900[/tex]
Amount paid to an employee per hour [tex]=\$11[/tex]
Number of hours for which an employee worked per week [tex]=40[/tex]
So,
Total amount paid to an employee [tex]=11\times 40[/tex]
[tex]=\$440[/tex]
Number of employees hired [tex]=4.3[/tex]
[tex]\approx 4[/tex]
So, [tex]\boldsymbol{4}[/tex] employees were hired by the company.
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Ignoring overhead, you can hire 4 employees.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given:
You have a budget of $1,900 per week for employees.
Employees are paid $11 per hour and work 40 hours per week.
That means,
11 x 40 = $440 per week.
The number of employees = 1900/440
= 4.3
≈ 4
Therefore, 4 number of employees.
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find the value of x of this question
perpendicular=p=8cm
Hypontenuse =h =10cm
We need to find base=bAccording to Pythagoras thereon
[tex]{\boxed{\sf b^2=h^2-p^2}}[/tex]
Substitutethe values[tex]\longrightarrow[/tex][tex]\sf b^2=10^2-p^2[/tex]
[tex]\longrightarrow[/tex][tex]\sf b={\sqrt {10^2-8^2}}[/tex]
[tex]\longrightarrow[/tex][tex]\sf b={\sqrt{100-64}}[/tex]
[tex]\longrightarrow[/tex][tex]\bf b={\sqrt {36}}[/tex]
[tex]\longrightarrow[/tex][tex]\sf b=6[/tex]
[tex]\therefore[/tex][tex]\overline{BC}=6cm[/tex]
BD=BC+CD
[tex]\longrightarrow[/tex][tex]BD=9+6[/tex]
[tex]\longrightarrow[/tex][tex]BD=15cm [/tex]
Now in [tex]\triangle ABD [/tex]Perpendicular=p=8cm
Base =b=15cm
We need to find Hypontenuse =AD(x)According to Pythagoras thereon
[tex]{\boxed {\sf h^2=p^2+b^2}}[/tex]
Substitute the values[tex]\longrightarrow[/tex][tex]\sf h^2=8^2+15^2 [/tex]
[tex]\longrightarrow[/tex][tex]\sf h={\sqrt {8^2+15^2}}[/tex]
[tex]\longrightarrow[/tex][tex]\sf h={\sqrt {64+225}}[/tex]
[tex]\longrightarrow[/tex][tex]\sf h={\sqrt {289}}[/tex]
[tex]\longrightarrow[/tex][tex]\sf h=17cm [/tex]
[tex]\therefore[/tex][tex]{\underline{\boxed{\bf x=17cm}}}[/tex]
In how many ways can a president, vice president, and secretary be chosen from a class of 20 girls and 30 boys if the president must be a girl and the vice president a boy?
Given:
Number of girls = 20
Number of boys = 30
The president must be a girl and the vice president a boy
To find:
Number of ways to choose a president, vice president, and secretary.
Solution:
The president must be a girl and the vice president a boy. So, out of three students 1 is girl and 1 is boy. Third student can be a girl or a boy.
Total number of ways = Selecting 2 boys and 1 girl + Selecting 1 boy and 2 girls
[tex]=^{30}C_2\times ^{20}C_1+^{30}C_1\times ^{20}C_2[/tex]
[tex]=\dfrac{30!}{2!(30-2)!}\times \dfrac{20!}{1!(20-1)!}+\dfrac{30!}{1!(30-1)!}\times \dfrac{20!}{2!(20-2)!}[/tex]
[tex]=\dfrac{30\times 29\times 28!}{2\times 1\times 28!}\times \dfrac{20\times 19!}{19!}+\dfrac{30\times 29!}{29!}\times \dfrac{20\times 19\times 18!}{2\times 1\times 18!}[/tex]
[tex]=\dfrac{30\times 29}{2}\times 20+20\times \dfrac{20\times 19}{2}[/tex]
[tex]=8700+3800[/tex]
[tex]=12500[/tex]
Therefore, the required number of ways is 12500.
using the arithmetic sequence 7 10 13 16 find the 6th term of the sequence
is y=-2x proportional
Answer:
no
Step-by-step explanation:
Answer:
Yes, if you are referring to proportionality in general. No if you are referring to a direct proportionality.
Step-by-step explanation:
y = -2x is negatively proportional so it is not directly proportional because y or one quantity decreases when x or another quantity increases. In a directly proportional relationship, as one quantity increases another quantity must increase at the same rate, in other words both must increase thus be positive. When something is proportional it has a constant ratio, and relation.
Direct proportionality or variation is represented by y ∝ x, where ∝ is the symbol used to represent proportionality.
y = kx where k is the constant of proportionality.
Where k = y/x.
simply 8×4³+2×4⁴ giving you answer in the form of 4^b
Answer:
4^5
Step-by-step explanation:
8×4³+2×4⁴
4×2×4^3+2×4^4
4^4×2+2×4^4
4^4(2+2)
4^4×4
4^5
So answer is 4^5
A sweater originally priced at 80 dollars was marked down 25% what was the sale price of the sweater
Answer:
$60
Step-by-step explanation:
just is
CAN SOMEBODY PLEASE HELO ME!?!?!?
The radius of the unit circle is equal to_____.
•2π
•1
•2
•π
Answer:
r =1
Step-by-step explanation:
The radius of unit circle is 1
Answer:
1
Step-by-step explanation:
You plan to run 2 miles, but you only make it \frac{3}{4}
4
3
of the way. How many miles did you run in total?
Answer:
1.5 miles
Step-by-step explanation:
At the store,Finlay bought 48 ounces of cand for $4.How many ounces could he buy for $1?
Answer:
12
Step-by-step explanation:
Answer:
12 ounces
Step-by-step explanation:
48÷4 = 12 ounces
If m ≤ f(x) ≤ M for a ≤ x ≤ b, where m is the absolute minimum and M is the absolute maximum of f on the interval [a, b], then
m(b − a) ≤
b
f(x) dx
a
≤ M(b − a).
Use this property to estimate the value of the integral.
2
3
1 + x2
dx
0
Answer:
smaller value is 1.2
larger value is 6
Step-by-step explanation:
[tex]f(x)=\frac{3}{1+x^{2} }[/tex]
when x=a=0, one has
[tex]f(0)=\frac{3}{1+0^{2} } \\f(0)=3[/tex]
now, when x=b=2, one has
[tex]f(2)=\frac{3}{1+2^{2} } \\f(2)=\frac{3}{5}[/tex]
Therefore, the absolute minumun is
[tex]m=\frac{3}{5}[/tex]
and the absolute maximun is
[tex]M=3[/tex]
The approximation to the integral is
[tex]\frac{3}{5}(2-0)\leq \int\limits^2_0 {f(x)} \, dx \leq 3(2-0)[/tex]
hence
[tex]\frac{3}{5}(2)\leq \int\limits^2_0 {f(x)} \, dx \leq 3(2)\\\frac{6}{5} \leq \int\limits^2_0 {f(x)} \, dx \leq 6\\1.2 \leq \int\limits^2_0 {f(x)} \, dx \leq 6[/tex]
What percent of 78 is 16?
Answer:
78/16=
39/8=
19.5/4= 4.80805
16 is 20.51% of the number 78.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
let x percent of 78 is 16.
So, x% of 78 = 16
x/100 (78)= 16
78x = 1600
x= 1600/78
x = 20.51%
Hence, 20.51 percent of 78 is 16.
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Make a fraction become a decimal
1. 55/300
2. 1 1/2
3.5/9
4. 2 3/4
5. 9/11
6. 4 1/9
Answer:
1. 0.18333333333
2. 1.5
3. 0.55555556
4. 2.75
5. 0.81818181818
6. 4.1111111111
Have a nice day, brainliest Please? :)
Help please! I’ll give brainliest!
Answer:
Corresponding
congruent interior
equation 9x+8=4x+18
angle measure 26
Explanation:
9x+8=4x+18
-4x = -4x
5x+8=18
-8 = -8
5x=10
x=10/5
x=2
---
so... now plug in 9(2)+8 = 18+8=26degrees
to confirm the angle should be the same for the next one
4x+18=26
solve for x
26-18=4x
8=4x
8/4=x
2=x
Write an equation of the line that passes through a pair of points (2,3),(4,-2)
Answer:
y=-5/2x+13
Step-by-step explanation:
m=(-2)-3/4-2
m=-5/2
y-y=m(x-x1)
y-3=-5/2(x-2)
y-3=-5/2x+10
+3 +3
y=-5/2x+13
What is the equation for
7x - 4/y =10
in the form y = mx + b?
Answer:
Step-by-step explanation:
assume the equation is (7x-4)/y=10
10y= 7x-4 didvide both sides by 10
y= (7/10)*x - (2/5)
m=7/10
b=-2/5
The equation for 7x - 4/y =10 in the form y = mx + b . The equation in the form
[tex]\(y = mx + b\) is: \[y = \frac{4}{7x - 10}\][/tex]
To rewrite the equation in the form we need to [tex]\(y = mx + b\),[/tex] isolate the term involving y on one side of the equation. Here's the step-by-step process:
Step 1: Add [tex]\(\frac{4}{y}\)[/tex] to both sides of the equation to isolate the 7x term on the left side:
[tex]\[7x = 10 + \frac{4}{y}\][/tex]
Step 2: Get rid of the fraction by multiplying both sides of the equation by y:
[tex]\[7xy = 10y + 4\][/tex]
Step 3: Now, we want to express y alone on one side. To do this, subtract 10y from both sides:
[tex]\[7xy = 10y + 4\][/tex]
Step 4: Factor out y on the left side:
[tex]\[y(7x - 10) = 4\][/tex]
Step 5: Finally, divide both sides by to solve for [tex]\((7x - 10)\)[/tex]
[tex]\[y = \frac{4}{7x - 10}\][/tex]
Now, the equation is in the form where [tex]\(y = mx + b\), \(m\)[/tex] is the coefficient of x and b is the constant term. In this case,[tex]\(m = \frac{4}{7x - 10}\) and \(b\)[/tex] is equal to 0.
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Wayne raked 30 bags of leaves in 3 hours. If he raked the same number of bags each hour, how many bags of leaves did he rake in 1 hour?
Answer:
he raked 10 bags each hour
30/3 = 10
Help please here is a picture:
Answer:
2 1/3, 2 1/4, 2 3/7
Step-by-step explanation:
Mixed Fractions
Mixed fractions are made of an integer part followed by a proper fraction.
Some examples of mixed fractions are:
3 1/2, -4 5/8, 2 2/3
Between two consecutive integers a and a+1, there are infinitely many fractions. The centered number is a 1/2. Any number with its improper fraction part less than 1/2 is closer to a than to a+1.
In our problem, Jayne bought between 2 and 3 pounds of granola. We need to provide a mixed number that is closer to 2 pounds than to 3 pounds.
We can select any number with integer part 2 and a proper fraction less than 1/2.
Examples could be :
2 1/3, 2 1/4, 2 3/7
All of them are less than 2.5
PLEASE HELP! WILL GIVE BRAINLIEST!
1. for a party, the family bought 24 pizzas for $12.50 each and 36 bottles of soda for $1.20 each. how much did the family spend on pizza? fill in the blank with the numerical answer only. the family spent $_______ on pizza.
2. for a party, the family bought 24 pizzas for $12.50 each and 36 bottles of soda for $1.20 each. how much did the family spend on soda? fill in the blank with the numerical answer only. the family spent $_______ on soda.
3. for a party, the family bought 24 pizzas for $12.50 each and 36 bottles of soda for $1.20 each. how much did the family spend in all? fill in the blank with the numerical answer only. the family spent $_______ in all.
Answer:
Step-by-step explanation: for a party, the family bought 24 pizzas for $12.50 each and 36 bottles of soda for $1.20 each. how much did the family spend on pizza? fill in the blank with the numerical answer only. the family spent $_______ on pizza.
The family spent 300$ on pizza
Answer:
Answer
Step-by-step explanation:
for pizza: $300.00
for soda: $43.20
In all: 343.20