Answer:
since the number of nickels is 10 so the expression is5+5
The number of nickels is 10 so the expression is n = 3f - 5
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that Emma has nickels and five dollar bills in her pocket. The number of nickels is Five less than three times the number of five.
Consider that f represent the number of dollar bills.
The expression "The number of nickels is" is equivalent to "n =";
Also, "three times the number of five dollar bills" is equivalent to "3*f"
"eight less than three times the number of five dollar bills" is equivalent to "3*f - 5"
Then the expression is n = 3f - 5
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The equatorial radius of Earth is approximately 6 × 103 km, while the equatorial radius of Saturn is approximately 6 × 104 km. Which of the following is true?
A.
The equatorial radius of Saturn is approximately one hundred times that of Earth.
B.
The equatorial radius of Earth is approximately ten times that of Saturn.
C.
The equatorial radius of Saturn is approximately ten times that of Earth.
D.
The equatorial radius of Earth is approximately one hundred times that of Saturn.
Answer:
Step-by-step explanation:
C.
The equatorial radius of Saturn is approximately ten times that of Earth.
The ordinal is identical
The exponent of 10 is 4 - 3 = 1 greater for Saturn than for Earth
10¹ = 10 times
20.4 is what percent of 17?
Answer:
120%
20.4 is 120% of 17.
Step-by-step explanation:
20.4/17 = 1.2
1.2 x 100 = 120%
Hope this helped. Have a good one!
W(x)=3x^2-3x .find w(5+t)
Answer:
[tex]60+27t+3t^2[/tex]
Step-by-step explanation:
Let's put 5+t wherever we have x in the original: rest is simple algebra.
[tex]w(5+t) = 3(5+t)^2 -3(5+t) = 3(25+10t+t^2)-15-3t =75+30t+3t^2-15-3t =60+27t+3t^2[/tex]
help pls
Tom, Lisa, and Jane are competing in a cooking competition. They all used different amounts of sugar from a can containing 4 pounds of sugar.
Tom used 13% of the total sugar in the can.
Lisa used 0.6 pound of the total sugar in the can.
Jane used 0.12 of the total sugar in the can.
Who used the greatest amount of sugar from the can? Show your work and explain your answer in words.
Line y=2x+3 is tangent to a circle with center (2,-3). Which of the length of the radius of the circle?
Answer:
[tex]2\sqrt{5}[/tex]
Step-by-step explanation:
Since it is tangent to the center, the perpendicular line passes through the center, (2,-3). We find the slope of the perpendicular line to be -1/2 (perpendicular to a slope of 2). We can use point slope form to find the line from the tangent line to the center:
y+3=-1/2(x-2)
We can simplify this to
y= -1/2x-2
We can then check the point of intersection:
-1/2x-2=2x+3
-5=2.5x
x=-2
we can plug this in to the first equation to get y=2(-2)+3=-1
So the point of intersection of the circle and the tangent line is (-2,-1)
Then we find the distance of this point to (2,-3) and we can use pythagorean theorem.
[tex]\sqrt{(-2-2)^{2}+(-1-(-3))^{2} } =\sqrt{(-4)^{2}+2^{2} } =\sqrt{20} =2\sqrt{5}[/tex]
The radius of the circle is [tex]2\sqrt{5}[/tex]
For Line y=2x+3 is tangent to a circle with center (2,-3) then the length of the radius of the circle is 10/√5
What is Distance?The length along a line or line segment between two points on the line or line segment.
Distance=√(x₂-x₁)²+(y₂-y₁)²
The line y=2x+3 is tangent to the circle with center (2,-3)
The distance from the center of the circle to the line is equal to the radius of the circle.
The distance from a point (x₁, y₁) to a line Ax + By + C = 0 is given by the formula:
d = |Ax₁+ By₁ + C| /√A² + B²
The equation of the line is y = 2x + 3, which can be written in the form Ax + By + C = 0 as (-2)x + y - 3 = 0.
d = |-2(2) + (-3) - 3| / √(-2)² + 1²
d=10/√5
The radius of the circle is equal to the distance from the center to the tangent line, which is:
radius = 10/√5
Hence, for Line y=2x+3 is tangent to a circle with center (2,-3) then the length of the radius of the circle is 10/√5
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Two increased by five times a number is twenty two
What is the equation
Answer:
2 + 5 x a = 22
Step-by-step explanation:
GEOMETRY The perimeter of a square is four times the length of one side. If the side length of a square is 1 centimeter, then the perimeter of the square is 4 centimeters. Write an equation in point-slope form to find the perimeter y of a square with side length x.
Answer:
y-4=4(x-1)
Step-by-step explanation:
The perimeter of a square is 4 times the length of one side, so we can write the equation like this.
y=4x
To find the equation in point-slope form, we know that when x=1, y=4. This gives us the point, (1,4). We also know that the slope of the equation is 4.
Plug the coordinate point into the point slope formula.
y-y1=m(x-x1)
y-4=4(x-1)
Help me solve this please
Answer:
2/5-1/10 = 3/10
1/5+7/10 = 9/10
Step-by-step explanation:
4/10-1/10 = 3/10
2/10+7/10 = 9/10
what is
The lines shown below are parallel. If the green line has a slope of -3/7
the slope of the red line?
Jill and Tim have the same number of toy cars. Tim has 10 red cars and 20 blue cars. Jill has 8 red cars, 15 blue cars, and some yellow cars. How many yellow cars does Jill have?
Answer:
7 yellow cars
Step-by-step explanation:
Tim has 30 cars, so Jill has 30 as well. She has 8+15=23 red and blue cars. This means that there are 7 yellow cars.
3) A Jewelry artist charges $7.00 for each pair of earrings she sells. in 3 hours, she sells 15 pairs of
earrings. At that rate, how much money could she earn from selling earrings for 5 hours?
Answer: $175
Step-by-step explanation:
$7.00 x 15 = $105.00
$105.00 / 3 hours = $35/hr.
$35 x 5 = $175
What expression is equivalent to 23x?
A.) 5(3x) + 8x
B.) 2x + 6x + 12x
C.) 4(4x + 2x)
D.) x + x + x + 19x
Answer:
multiply 5 times 3 that is equal to 15.
15 plus 8 is equal to 23 and add the x.
Find the slope and the y-intercept of the line with the equation 8y - x + 7 = 0.
HELP
HOW AM I MEANT TO ANSWER THIS QUESTION I WOULD ASO LIKE ANSWER.
THX
Answer:
= 108
Step-by-step explanation:
the rectangle = 12 * 5 = 60
plan A:
the triangle A with H = (13 - 5)/2 = 8/2 = 4
then triangle A = [tex]\frac{1}{2}[/tex] * 6 * 4 = 24/2 = 12
total triangles = 12 * 4 = 48
hexagon area = 60 + 48 = 108
plan B:
there 13 - 5 = 8
because there are identical triangles, so we can shape both of it being a rectangle with short line is 8/2 =4, and long line is 12
then we calculate that rectangle area = 12 * 4 = 48, then total of the hexagon = 60 + 48 = 108
how do you convert a whole number to a fraction?
Answer:
Step-by-step explanation:
Example 1: Changing the whole number 5 into a fraction.
Take the whole number (5), add a line below it (/), then add a 1 to the denominator.
5 = 5/1
Example 2: Changing the whole number 5 into a fraction.
Take the whole number (5), multiply it by 2 add a line below it (/), then add a 2 to the denominator.
5 = (5*2)/2 = 10/2
***This can be reduced to 5/1***
Example 3: Changing the whole number 5 into a fraction.
Take the whole number (5), multiply it by 3 add a line below it (/), then add a 3 to the denominator.
5 = (5*3)/3 = 15/3
***This can also be reduced to 5/1***
If you follow the pattern, you will realize all whole numbers are fractions already.
They are fractions with a denominator of 1. This fraction can be manipulated with all of the same standard rules you would traditionally use with fractions, even when the denominator isn’t shown.
A fraction is simply a way to describe portions of a whole. The denominator simply tells you how many pieces to break the whole into. When the denominator is 1, you are breaking the whole into one piece (or not breaking it apart at all.
I hope this helps.
The sum lf two numbers is 10. The difference between the two numbers is 4: what is the smaller numerical?
Answer:
3
Step-by-step explanation:
The two numbers are 3 and 7, and 3 is the smaller one
Step-by-step explanation:
x, y are the 2 numbers.
x + y = 10
y - x = 4
that gives us
y = x + 4
and we use that in the first equation :
x + x + 4 = 10
2x = 6
x = 3
y = x + 4 = 3 + 4 = 7
so, yes, the smaller number is 3.
Find the equation of a line whose slope is 6 and passing through (3 , 3 ).
Answer:
y=6x-15
Step-by-step explanation:
y-y1=m(x-x1)
y-3=6(x-3)
y-3=6x-18
y=6x-18+3
y=6x-15
What is the missing addend what +10=235
PLS ANSWER 30 POINTSSS
Answer:
letter B po
Step-by-step explanation:
basta letter B may ganyan din kame eh
Consider the following function. f(x)= 4x+7 Place the steps for finding f -1(x) in the correct order.
Answer:
To find an inverse, you need to replace f(x) with y. Then switch the x and y's in your equation and solve for y. This will find f^-1(x).
Step-by-step explanation:
Simplify the expression.
5(2 +t) – 3(t + 1)
please help as soon as possible
Answer:
7 + 2t is the simplest form of your equation.
Hope this helps! :D
a husband and wife discover that there is a 4% probability of their passing on a hereditary disease to 3 of their children if they plan to have their children what is the probability of the event that at least one child will inherit the disease
"4% probability of their passing on a hereditary disease to 3 of their children"
I'm not sure if this means that the possibility of them passing the disease to one child is 4%, or if the probability of them passing the disease to the collective three children is 4%.
In case its the first one:
To make this a little easier, if you think about it the only possible way for the condition "at least one child will inherit the disease" to be untrue is if all 3 children do not have the disease. Therefore we just need to calculate the probability of all 3 children not having the disease.
if the chance of having the disease is 0.04, then the chance of not having it is 0.96
for three children: 0.96*0.96*0.96
= 0.884736
to find the chance of this not happening:
1 - 0.884736
= 0.115264 ≈ 12%
there is a 12 percent chance at least one of the children will inherit the disease
In case its the second one:
the probability of all 3 children having the disease is 0.04,
the probability of 1 child getting the disease is unknown, x.
this means
x*x*x = 0.04
x ≈ 0.342
now we just basically repeat the steps above
1 - 0.342
= 0.658 (probability that one child does not get the disease)
0.658 * 0.658 * 0.658
= 0.284890312 (probability that all 3 children do not get the disease)
1 - 0.284890312
= 0.715109688 ≈ 72%
there is a 72 percent chance at least one of the children will inherit the disease
The table shows the number of
flowers used to create bouquets,
based on the number of bouquets.
Bouquets
Flowers
Bouquets Flowers
3. 27
5 45
8i 72
According to the table given, the rate of change is of 9.
The rate of change is given by the change in the output divided by the change in the input.
In this problem:
The input is the number of bouquets.The output is the number of flowers.Taking two of the points, (3,27) and (5,45), we have that:
[tex]m = \frac{45 - 27}{5 - 3} = \frac{18}{2} = 9[/tex]
Hence, the rate of change is of 9, which would be verified taking any pair of two points.
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James joins Club One which charges a monthly membership of $19.99. In 6 months, will he spend less than $120 in all?
Answer:
120
Step-by-step explanation:
round 19.99 to 20 and do 20 times 6
460,451,442,...
Find the 37th term.
Find the 37th term.
Answer:
The 37th term is 136.
Step-by-step explanation:
The sequence has a common difference therefore, it is an arithmetic sequence
The formula for arithmetic sequence is
[tex]an = a1 + (n - 1)d[/tex]
where,
an is the nth term,
a1 is the first term,
n is the term number and
d is the common difference
Find the 37th term.
an = a1 + ( n-1 ) d
a37 = 460 + ( 37-1 ) -9
a37 = 460 + ( -324 )
a37 = 136
given the function below, which of the following values will result in f(x)=10
f(x)=1/2x+8
Answer: x=4
Step-by-step explanation:
1/2x+8=10
Subtract 8 from 10
Multiply 2 to 2
x=4
Step-by-step explanation:
1/2(10)+8=
1/20+8=
161/20=
8.05
What is the x-value of the vertex of f(x) = -x2 + 9x - 11 ?
Answer:
7
Step-by-step explanation:
7
Jada has a new puppy that weighs 9 lb the vet says that the puppy is now about 20% of its doorway what will the adult weight of the puppy be.
Ima just say the question to: "The length of each of the two congruent sides of an isosceles triangle is 2x + 3. The length of the third side is 2x. Its perimeter is 36 centimeters. Write and equation that could be used to find the value of x. Solve for x and then find the length of all three sides." 100 points!!!!
Answer:
x = 5
Congruent sides = 13 cm each
3rd side = 2(5) = 10 cm
Step-by-step explanation:
2(2x+3)+2x = 36
4x+6+2x = 36
6x = 36-6
x = 30/6
x = 5
Congruent sides = 2(5)+3 = 13
3. If dy = x^2y^2 , then what is d2y/dx2
[tex]\text{Given that,}\\\\\dfrac{dy}{dx} = x^2 y^2\\\\ \implies \dfrac{d^2 y}{dx^2} = x^2\cdot 2y \dfrac{dy}{dx}+ y^2 \cdot 2x\\\\\implies \dfrac{d^2 y}{dx^2} = x^2 \cdot 2y \cdot x^2 y^2 +2xy^2\\\\\implies \dfrac{d^2 y}{dx^2} =2x^4y^3 + 2xy^2 = 2xy^2(x^3y+1)[/tex]
