yes, 0.64 is a rational number. it can be expressed as the fractions 64/100, 32/50, 16/25.
Answer:
yes 0.64 is a rational number
Step-by-step explanation:
1) 0.64 = 64/100
2) Divide by 4
64 divided by 4 is 16 (Numerator)
100 divided by 4 is 25 (Denominator)
3) 16/25
It is a rational number because it can be written as a fraction.
Hopes this helps!
Calculate the amount of money you'll have at the end of the indicated time period. You invest $2000 in an account that pays simple of 3% for 20 years. The amount of money you'll have at the end of 20 years is?
Answer:
compound interest
Step-by-step explanation:
2000 * 20 to power of 3
Brendan needs to answer 0.70 of the test questions correctly to pass the test. What percent is this??
That would be 70 percent.
Abby caught a fish that was 10 3/8 inches long. Brandon caught a fish that was 8 5/8 inches long. How much longer was Abby's fish than Brandon's fish?
what you do is take 5 away from 3. No! Borrow 1 Whole (9) and makes it 9 13/8 - 8 5/8 then subtract the 2 fractions
[tex] \frac{13}{8} - \frac{5}{8} ...[/tex]
and that is
[tex] \frac{8}{8} [/tex]
then convert that into 1 whole. Now add the whole to the 9 and thats 10. Now, subtract the 2 whole numbers. 10-8=2 so the answer is 2
Jacob made a banner for a sporting event in the shape of a parallelogram. The area of the banner is 127 1/2 square centimeters. The height of the banner is 4 1/4 centimeters. What is the base of the banner?
Answer:
30 cm
Step-by-step explanation:
The area of a parallelogram is given by [tex]A=bh[/tex]
Where
A is the area
b is the base, and
h is the height
Since A and h are given, we plug that in and find the base. Shown below:
[tex]A=bh\\127\frac{1}{2}=b(4\frac{1}{4})\\b=\frac{127\frac{1}{2}}{4\frac{1}{4}}\\b=\frac{\frac{255}{2}}{\frac{17}{4}}\\b=\frac{255}{2}*\frac{4}{17}=30[/tex]
Hence, the base is 30 centimeters
PLS HELP ASAP. IM TIMED
Juan pulled a red card from the deck of regular playing cards. This probability is 2652 or 12 . He puts the card back into the deck. Will his chance of pulling a red card next time change?
Answer:
no
Step-by-step explanation:
if he randomly pulls it out it's still the same number of red cards and also the total number of cards as always
can't change
Billy has been to three more than four times as many baseball games as Brendan. Brendan has been to 11 baseball games. Complete the equation below to find out how many baseball games Billy has been to.
11 x __ + __ = __
Answer:11x4+3=47
Step-by-step explanation:
Answer:
47
Step-by-step explanation:
11 x 4 + 3 = 47
what value of x makes the equation sin x=cos43
Answer:
0.55511330152
Step-by-step explanation:
Answer:
x = 47
Step-by-step explanation:
Using the cofunction identity
cos x = sin(90 - x), hence
cos43 = sin (90 - 43) = sin47
Solve the equation.
3p/8-13=-25
3p/8 - 13 = -25
3p/8 = -12 | * 8
3p = -96 | : 3
P = -32
The value of p is -32
Step-by-step explanation:see the image
What is the degree measure of SRP? Please show work!
well, we have a missing point of R, but since is part of one of the tangent lines, we can safely assume is the point where the PR of 5 inches is at.
what is the angle at point R? namely the ∡SRP, well, SR is a tangent, RP is a radius line, they both touch/intersect at point R, thus R is the point of tangency for those two, and the point of tangency is always a 90° angle.
Help please 2 questions(25 points)
First one is C and second one is A
use the substituition method to solve the system of equation. choose the correct ordered pair 2x+y=8 y= -x+5
The answer is:
[tex]x=3\\y=2[/tex]
Ordered pair: (3,2)
Why?The substitution method for solving system of equations consists in finding the solution by isolating and substituting each variable value into the given equations, doing that, all the variable value can be found.
So, we are given two equations:
[tex]2x+y=8\\y= -x+5[/tex]
We need to substitute (y) into the first equation,so:
[tex]2x+(-x+5)=8[/tex]
[tex]2x-x+5=8[/tex]
[tex]x+5=8[/tex]
[tex]x=8-5[/tex]
[tex]x=3[/tex]
Now that we know "x" we need to substitute it into the second equation, so:
[tex]y=-(3)+5[/tex]
[tex]y=2[/tex]
Hence,
[tex]x=3\\y=2[/tex]
So, the ordered pair will be: (3,2)
Have a nice day!
Answer:
Ordered pair = (3, 2)
Step-by-step explanation:
We are given the following equations and we are to solve them by substitution method:
[tex]2x+y=8[/tex] --- (1)
[tex]y= -x+5[/tex] --- (2)
Substituting the value of y from equation (2) to (1):
[tex]2x+(-x+5) = 8[/tex]
[tex]2x-x+5=8[/tex]
[tex]x = 8-5[/tex]
x = 3
Substituting this value of x in equation (2):
[tex]y = -(3)+5[/tex]
y = 2
So the ordered pair is (3, 2).
jamal wrote the inequality x/16_<66. witch situation best represented by this inequality?
the number of candy bars (x) divided by 16 kids is less than or equal to 66 canyldy bars
How to do this ?? How
Answer:
The answer in the procedure
Step-by-step explanation:
we have
x+2y > 6
Isolate the variable y
y > -0.5x+3
The solution of this inequality is the shaded area above the dashed line
The equation of the dashed line is y=-0.5x+3
The slope of the dashed line is negative (m=-0.5)
The y-intercept of the dashed line is 3 (value of y when the value of x is equal to zero)
The x-intercept of the dashed line is 6 (value of x when the value of y is equal to zero)
Plot the intercepts to draw the dashed line and shaded the area above the dashed line
see the attached figure
NEED HELP !! BASIC MATH
Step-by-step explanation:
350-40x>40
Now you subtract 350 from both sides. -40x is greater than negative 310. Divide by -40 on both sides and flip the sign since you are dividing by a negative. x<31/4 or 7.75, so round down and she can only have 7 exhibits
Answer:
she can have at most seven exhibits
Step-by-step explanation:
do 350-40 because that is the amount of space needed for a walkwaynext do 310/40 because that is the amount of space is needed for each exhibitround 7.75 down because you can't have part of an exhibit:)Write the quadratic equation in general quadratic form below.
17x2 = 12x
Answer: [tex]\bold{\dfrac{12\pm \sqrt{144-0}}{2(17)}}[/tex]
Step-by-step explanation:
[tex]17x^2=12x\quad \rightarrow \quad 17x^2-12x+0=0\quad \rightarrow \quad a=17,\ b=-12,\ c=0\\\\\\\text{Quadratic formula is: }x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\\x=\dfrac{-(-12)\pm \sqrt{(-12)^2-4(17)(0)}}{2(17)}\\\\\\.\ =\dfrac{12\pm \sqrt{144-0}}{2(17)}[/tex]
Answer:
General quadratic form is 17x²- 12x + 0 = 0.
Step-by-step explanation:
Given : 17x² = 12x.
To find : Write the quadratic equation in general quadratic form below.
Solution : We have given that 17x² = 12x.
General quadratic form is : [tex]ax^{2} + bx + c = 0[/tex].
We have 17x² = 12x.
Convert it in to general quadratic form
On subtracting both sides by 12x .
17x²- 12x + 0 = 0.
Here a = 17 , b = - 12 , c = 0 .
Therefore, General quadratic form is 17x²- 12x + 0 = 0.
if W(4,6) and V(-3,-2) what is the length of VW
Answer:
[tex]\large\boxed{VW=\sqrt{113}}[/tex]
Step-by-step explanation:
The formula of a distance between two points:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We have the points W(4, 6) and V(-3, -2). Substitute:
[tex]VW=\sqrt{(-3-4)^2+(-2-6)^2}=\sqrt{(-7)^2+(-8)^2}=\sqrt{49+64}=\sqrt{113}[/tex]
What is the volume of the composite figure?
What is 3m in cm
?????
Answer:
300 cm
Step-by-step explanation:
the diagram show the approximate length and width of Nevada. Estimate the area of the state
Area of a triangle is 0.5(base x height)
Base = 320mi
Height= 270+210= 480mi
0.5(480 x 320) = 76,800 miles squared
(-1, 1) is a solution to the following system of equations:
True or false
no its not l. the top is 3 the bottom is one
1. 8397 divided by 27
2. 9396 by 18
3. 8442 by 14
4. 7854 by 23
5a. 7533 by 34
5b. explain the calculation
1. 311
2. 522
3. 603
4. 341.47826087
5. 221.558823
5b. All i did was divide the regular way or u could just put it in a calculator?
x/2+3=-5 what does x equal?
x/2+3=-5
x/2 = -5+3
x/2 = -2
x = -2(2)
x = -4
Answer:
X = - 16
PLEASE RATE AND THANKS ME IF THIS HELPED
how do you solve this?
3x(x+4)=0
Answer:
3x=0 or x+4=0
x=0 or x=−4
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3x2+12x=0
Step 2: Factor left side of equation.
3x(x+4)=0
Step 3: Set factors equal to 0.
3x=0 or x+4=0
x=0 or x=−4
Bill drew each face of an ice cube below.
Note: Figure is not drawn to scale.
He measured the length of each edge to be 2.5 cm. What is the surface area of the ice cube?
A.
37.5 sq cm
B.
15 sq cm
C.
13.5 sq cm
D.
27 sq cm
Answer:
Option A. [tex]37.5\ cm^{2}[/tex]
Step-by-step explanation:
we know that
The surface area of a cube is equal to
[tex]SA=6(b)^{2}[/tex]
where
b is the length side of the cube
In this problem we have
[tex]b=2.5\ cm[/tex]
substitute the value in the formula
[tex]SA=6(2.5)^{2}=37.5\ cm^{2}[/tex]
Answer:
if i had to say i would say B. 15 sq cm
Step-by-step explanation:
Find the surface area of the shape below
Answer:
464 in²
Step-by-step explanation:
Surface area of a figure is the total area of its sides.
We shall assume that the shape is a solid.
2 × (5 × 10) = 2 × 50 = 100
2 × 1/2 × 4(10+16) = 4 × 26 = 104
10 × 10 = 100
10 × 16 = 160
Total area = 100 + 104 + 100 + 160
= 464 in²
The surface area of a shape can be found by using specific formulas that differ depending on the shape's dimensions and type. For a sphere, the formula is A = 4πr², while for a rectangle, it's A = length × width. Other shapes like a cylinder require calculating the area of each side then adding them together.
Explanation:In order to find the surface area of a shape, we first need to know the dimensions and type of the shape. For example, to find the area of a sphere, you'd use the formula A = 4πr², where 'r' is the radius of the sphere. To find the area of a rectangle, you'd use A = length × width.
If we're talking about a more complex shape, like a cylinder, we need to calculate the area of each face or side separately and then add them together for the total surface area. For example, the total surface area of a cylinder is given by A = 2πr(r + h), where 'r' is the radius of the base and 'h' is the height of the cylinder.
These are just a few examples. The calculation of the surface area will depend on the specific dimensions and type of the shape in question.
Learn more about Surface Areahttps://brainly.com/question/12448114
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Kay was walking along the bridge above the river. She accidentally lost her grip on her camera when she was trying to get it out to photograph massive birds nest in the trees.The height of the camera above the water can be modeled by the equation y=-16t^2+400, where t represents the seconds after the camera is dropped. How long will it take before Kay sees the splash from the camera hitting the water.
Answer:
5 seconds it will hit the water.
Step-by-step explanation:
y=-16t²+400
add -16t² to both sides
-16t²=-400
divide both sides by 16
t²=-25
t=√25
t=5
Answer:
t=5
Step-by-step explanation:
t=√25=t=5
■ ■I_____INeed help don’t understand
Answer:
4 units left and 2 units up
Step-by-step explanation:
Translation notation is the words you would use to describe the translation of the point or shape. It says that the point was translated 4 units left and 2 units up, and that is the translation notation.
7 POINTS!!! ~ A 6 foot tall man casts a shadow that is 4.5 feet long. A telephone pole casts a shadow that is 15.6 feet long. Two similar triangles are created. How tall is the telephone pole?
The answer is:
The telephone pole is 20.8 foot tall.
Why?Since it's not mentioned, we can assume that both, man and the telephone pole are close, so, if two similar triangles are created, we know that both shadows are proportional and we can find the telephone pole height creating a proportionality relationship.
We can find the telephone pole height using the following equation,
[tex]\frac{ManHeight}{ManShadow}=\frac{PoleHeight}{PoleShadow}[/tex]
Were,
Man height is 6 foot
Man shadow is 4.5 feet long
Telephone pole shadow is 15.6 feet long.
So, substituting we have:
[tex]\frac{6}{4.5}=\frac{PoleHeight}{15.6}[/tex]
[tex]PoleHeight=15.6*\frac{6}{1.5}=20.8ft[/tex]
So, the telephone pole is 20.8 foot tall.
Have a nice day!
solve x^2+10x=24 by completing the sqaure. which is the solution set of the equation
Answer:
{-12, 2}
Step-by-step explanation:
x^2 + 10x = 24
Take half of the x-term coefficient and square it. Add that to both sides.
Half of 10 is 5. 5^2 = 25.
x^2 + 10x + 25 = 24 + 25
(x + 5)^2 = 49
x + 5 = +/-sqrt(49)
x + 5 = 7 or x + 5 = -7
x = 2 or x = -12
{-12, 2}