Answer:
45/28
Step-by-step explanation:
Convert them to mixed fractions
(2 * 4 + 1) / 4 ÷ (1 * 5 + 2) / 5
8 + 1 / 4 ÷ 5 + 2 / 5
9/4 ÷ 7/5
Flip the second fraction and flip the sign - to multiply.
9/4 × 5/7
9 × 5 = 45
4 × 7 = 28
45/28
This could be left as a fraction or converted to a number:
1.60714285714
Answer:
The Answer is 1 17/28
Step-by-step explanation:
1) turn the mixed fraction into a regular fraction
2 1/4 divided by 1 2/5 = 9/4 divided by 7/5
2) Then Multiply
9/4 X 7/5= 45/28 (Straight across)
3) Simplify 45/28
Give you 1 17/28
Hopes this helps!
Write the slope intercept form of -y = 4-x
Slope intercept form:
y=mx+b
Right now we have:
-y=4-x
x=1 because it’s not being multiplied by anything
y-intercept = 4 because it’s what you’re adding
Then we just need to move 4 to the other side of “x”
And with that, we conclude with a line in slope intercept form:
-y=x-4
It’s a negative 4 and a positive x, because you’re supposed to do the opposite
If it’s a negative, you add. If it’s a positive, you subtract.
can u please help me solve 6x-3(2-3x)
Answer:
[tex]\boxed{\bold{15x-6}}[/tex]
Step By Step Explanation:
Expand [tex]\bold{-3\left(2-3x\right)}[/tex]
[tex]\bold{-6+9x}[/tex]
Rewrite Equation
[tex]\bold{6x-6+9x}[/tex]
Simplify [tex]\bold{6x-6+9x}[/tex]
[tex]\bold{15x-6}[/tex]
➤ [tex]\boxed{\bold{Mordancy}}[/tex]
What are the x and Y intercepts of Y=x^2+3x-10
Answer:
X-int: (2,0) , (-5,0)
Y-int: (0,-10)
A car went 120 miles in 3 hours. At this rate how long will it take for the car to travel in 350 miles
Answer:
8.75 hours
Step-by-step explanation:
120 miles in 3 hours = 40 mph
350 divided by 40 = 8.75
Please help and show work!! Will mark brainliest!!
Answer: Reserved = 431, General Admission = 1356
Step-by-step explanation:
Let x represent the Reserved tickets.
Let y represent the General Admission tickets.
Cost Equation: 4x + 3y = 5792
Quantity Equation: x + y = 1787
Use Elimination Method:
4x + 3y = 5792 → 1(4x + 3y = 5792) → 4x + 3y = 5792
x + y = 1787 → -3( x + y = 1787) → -3x - 3y = -5361
x = 431
Now substitute x = 431 into one of the original equations:
x + y = 1787
431 + y = 1787
y = 1356
8(-2/7)(-1/2)
a -4/7
b 4/17
c 7/4
d 8/7
Answer:
d 8/7
Step-by-step explanation:
8 * -2 * -1
---- ----
7 2
Multiply the numerators
8*-2*-1 = 16
Multiply the denominators
7*2 =14
Put the numerator over the denominator
16/14
Both the numerator and the denominator can be divided by 2
8/7
evaluate the expression -10-6+4 divided by (-0.5)(-2)
Answer:
-12
Step-by-step explanation:
numerator: -10 - 6 + 4 = -16 + 4 = - 12
denominator: (-0.5)(-2) = 1 Try this on your calculator.
Answer
-12 / 1 = - 12
Please someone hurry. Please.
Solve the system.
2/3 x - 1 /2 y = 1
1/ 4 x + 3/8 y = -1
A) (3, 2)
B) (9, 10)
C) ( 9/ 2 , 5)
D) (- 1 /3 , - 22 /9 )
Answer:
[tex]\large\boxed{D)\ \left(-\dfrac{1}{3},\ -\dfrac{22}{9}\right)}[/tex]
Step-by-step explanation:
[tex]\left\{\begin{array}{ccc}\dfrac{2}{3}x-\dfrac{1}{2}y=1&\text{multiply both sides by 6}\\\dfrac{1}{4}x+\dfrac{3}{8}y=-1&\text{multiply both sides by 8}\end{array}\right\\\left\{\begin{array}{ccc}6\!\!\!\!\diagup^2\cdot\dfrac{2}{3\!\!\!\!\diagup_1}x-6\!\!\!\!\diagup^3\cdot\dfrac{1}{2\!\!\!\!\diagup_1}y=6\cdot1\\8\!\!\!\!\diagup^2\cdot\dfrac{1}{4\!\!\!\!\diagup_1}x+8\!\!\!\!\diagup^1\cdot\dfrac{3}{8\!\!\!\!\diagup_1}y=8\cdot(-1)\end{array}\right[/tex]
[tex]\underline{+\left\{\begin{array}{ccc}4x-3y=6\\2x+3y=-8\end{array}\right}\qquad\text{add both saides of the equations}\\.\qquad6x=-2\qquad\text{divide both sides by 6}\\.\qquad x=-\dfrac{2}{6}\\\\.\qquad\boxed{x=-\dfrac{1}{3}}\\\\\text{Put the value of x to the second equation:}\\\\2\left(-\dfrac{1}{3}\right)+3y=-8\\\\-\dfrac{2}{3}+3y=-8\qquad\text{add}\ \dfrac{2}{3}\ \text{to both sides}\\\\3y=-\dfrac{24}{3}+\dfrac{2}{3}[/tex]
[tex]3y=-\dfrac{22}{3}\qquad\text{divide both sides by 3}\ /multiply\ both\ sides\ by\ \frac{1}{3}/\\\\\boxed{y=-\dfrac{22}{9}}[/tex]
Which factor pair has a product of 75?
A) 25 and −3
B) −15 and 5
C) −75 and 1
D) −25 and −3
I give you a lot of points if you do!!
Answer:
D
Step-by-step explanation:
Remembering that the product of 2 negatives is positive, then
- 25 × - 3 = 75 → D
Final answer:
Upon examining the factor pairs given in the options, none of them correctly multiply to a positive 75. There seems to be a typo in the options as none matches the requirement for the product to be 75. Most likely, the correct factor pair is missing or misrepresented.
Explanation:
The question asks to identify which factor pair has a product of 75. To find factors of 75, we look for pairs of numbers that multiply together to give the product of 75. Remember, the product of two negative numbers is positive.
Option A (25 and -3) does not give 75 as a product because 25 multiplied by -3 is -75.
Option B (-15 and 5) gives us a product of 75, since -15 multiplied by 5 is -75 (but we are looking for a positive 75).
Option C (-75 and 1) is incorrect because it results in -75, not 75.
Option D (-25 and -3) is also incorrect, as the product of two negative numbers would be positive, but it results in +75.
However, upon reviewing the options provided, it appears none of them correctly multiply to a positive 75. Most likely, there is a typo in the question or the options presented. In mathematics, finding factors of a number means identifying two numbers that, when multiplied together, give the original number. While option B's multiplication gives a product of -75, it is close to our target; we need a positive value, i.e., 75, not -75.
tina’s preschool has a set of cardboard building blocks, each of which measures 9“ x 9“ x 4“. How many of these blocks will Tina need to build a wall 4 inches thick, 3 feet high, and 12 feet long?
Tina will need 64 cardboard building blocks to build the wall.
Step 1: Convert all measurements to inches.
The thickness of the wall is already 4 inches.
The height of the wall is 3 feet. Since 1 foot = 12 inches, then:
[tex]3 \text{ feet} = 3 \times 12 \text{ inches} = 36 \text{ inches}[/tex]
The length of the wall is 12 feet. Therefore:
[tex]12 \text{ feet} = 12 \times 12 \text{ inches} = 144 \text{ inches}[/tex]
Step 2: The volume of a rectangular wall can be found using the
formula:
[tex]\text{Volume} = \text{Length} \times \text{Height} \times \text{Thickness}[/tex]
Substituting the values:
[tex]\text{Volume} = 144 \text{ inches} \times 36 \text{ inches} \times 4 \text{ inches}[/tex]
[tex]\text{Volume} = 20736 \text{ cubic inches}[/tex]
Step 3: The dimensions of the block are 9 inches x 9 inches x 4 inches,
so:
[tex]\text{Volume}_{\text{block}} = 9 \text{ inches} \times 9 \text{ inches} \times 4 \text{ inches}[/tex]
[tex]\text{Volume}_{\text{block}} = 324 \text{ cubic inches}[/tex]
Step 4: To find out how many blocks are needed for the wall, divide the
total volume of the wall by the volume of one block:
[tex]\text{Number of blocks} = \frac{\text{Volume of wall}}{\text{Volume of one block}}[/tex]
[tex]\text{Number of blocks} = \frac{20736 \text{ cubic inches}}{324 \text{ cubic inches}}[/tex]
[tex]\text{Number of blocks} = 64[/tex]
What is the phase shift of a periodic function?
Answer and Explanation :
To find : What is the phase shift of a periodic function?
Solution :
The Phase shift is defined as a horizontal shift in a function in any direction.
Horizontal stretches will change the period of the function and that horizontal shift is called a phase shift or the amount of shift in a wave horizontally.
The phase shift is measured in degrees.
Refer the attached figure below for the pictorial representation of teh phase shift.
In the figure, [tex]\frac{\pi }{2} \text{ to } \pi[/tex] is showing the phase shift.
Example - Taking a general example of sin function
[tex]y = A \sin(B(x + C)) + D[/tex]
In this the phase shift is at C (positive is to the left).
Jeff has recorded the cost of insurance premiums on his car for a particular insurance company.
Years Payments
1 $1,200
6 $7,200
9 $10,800
Daniel pays $1,150 per year for insurance premiums on his car. Whose unit rate is lower in terms of cost per year, and what is the rate?
A.
Daniel's unit rate is lower. It is $1,150 per year.
B.
Jeff's unit rate is lower. It is $1,200 per year.
C.
Daniel's unit rate is lower. It is $1,200 per year.
D.
Jeff's unit rate is lower. It is $1,150 per year.
E.
Jeff and Daniel have the same unit rate. It is $1,150 per year.
For 1 year Jeff pays $1200.
For 6 years he pays 7200 / 6 = 1200 per year.
For 9 years he pays 10800 / 9 = 1200 per year.
Jeff's unit rate is $1,200 per year.
Daniel pays $1,150 per year.
150 is less than 1200, so the answer would be:
A. Daniel's unit rate is lower. It is $1,150 per year.
Answer:
View the picture for your answer!
Have a great day.
Is there a rigid transformation that would map ΔABC to ΔDEC
Answer:
Yes. a rotation about point c
Step-by-step explanation:
just answered it.
A rigid transformation is a transformation that preserves the shape and size of an object. It includes translations, rotations, and reflections. Without specific information about the coordinates or measurements of the triangles, it is not possible to determine if a rigid transformation exists.
Explanation:A rigid transformation is a transformation that preserves the shape and size of an object. It includes translations, rotations, and reflections. In order for triangle ΔABC to be mapped to triangle ΔDEC, there must be a combination of translations, rotations, and reflections that can bring the two triangles into congruence.
However, without specific information about the coordinates or measurements of the vertices of the triangles, it is not possible to accurately determine if a rigid transformation exists that can map ΔABC to ΔDEC.
The period of a function is 4 pi how many cycles of the function occur in a horizontal length of 12 pi
Answer:
3 cycles
Step-by-step explanation:
in one period, you have one full cycle
because the period for this function is 4pi, you have one cycle per 4pi
if you have a total of 12pi, you would have 3 cycles (12pi/4pi=3)
hope this helps!
Answer:
1. 3
2. horizontal stretch
3. A.
Step-by-step explanation:
Order the numbers from least to greatest.
99, π2, 9.8
From least to greatest, the numbers are
Answer:
Step-by-step explanation:
Unfortunately, your π2 is improperly formed. I will assume that you actually meant π² ("pi squared").
Then the three numbers are 99, 9.87, 9.8.
Smallest: 9.8
Largest" 99 (did you mean 9.9?)
Under the assumptions I have made, the numbers, in increasing order, are 9.8, 9.87, 99
Answer:
From least to greatest, the numbers are [tex]99,\ \pi^2,\ 9.8[/tex]
Step-by-step explanation:
Given : The numbers are [tex]99,\ \pi^2,\ 9.8[/tex]
To find : Order the numbers from least to greatest ?
Solution :
Writing all numbers in same from,
We know, [tex]\pi=3.14[/tex]
[tex]\pi^2=(3.141)^2=9.86[/tex]
Numbers are [tex]99,\ 9.86,\ 9.8[/tex]
The least number is 9.8.
The greatest number is 99.
From least to greatest, the numbers are [tex]9.8,\ 9.86,\ 99[/tex]
or [tex]99,\ \pi^2,\ 9.8[/tex]
PLEASE PLEASE HELP ME ASAP
The correct answer is 36.
X-intercept (__,__)
Y-intercept (__,__)
Look at the picture.
The x-intercepts are where the graph crosses the x-axis, and the y-intercepts are where the graph crosses the y-axis.
x-intercept (-250, 0)
y-intercept (0, 100)
What is the value of w?
Answer options: 100, 75, 40, 52.5
➷ Opposite angles in a cyclic quadrilateral total to 180 degrees
180 - 80 = 100
w = 100 degrees
✽➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
↬ ʜᴀɴɴᴀʜ ♡
Write a linear equation that goes through the points (0,4) and (4,10).
A. y =2⁄3x – 4
B. y =2⁄3x + 4
C. y =3⁄2x – 4
D. y =3⁄2x + 4
Answer:
D
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
To calculate m use the slope formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (0 , 4) and (x₂, y₂ ) = (4, 10)
m = [tex]\frac{10-4}{4-0}[/tex] = [tex]\frac{6}{4}[/tex] = [tex]\frac{3}{2}[/tex]
note the line passes through (0, 4) ⇒ c = 4
y = [tex]\frac{3}{2}[/tex] x + 4 ← equation of line → D
Krystal City has a population of 40,500 people. It’s population is increasing at a rate of 3.8% each year. Write a function that represents each population s a function of time.
Answer:
[tex]y=40,500(1.038^{x})[/tex]
Step-by-step explanation:
Let
x----> the time in years
y----> the population
we know that
[tex]100\%+3.8\%=103.8\%=103.8/100=1.038[/tex]
so
[tex]y=40,500(1.038^{x})[/tex]
Final answer:
For Krystal City's population of 40,500 increasing at 3.8% annually, the function is [tex]P(t) = 40500(1 + 0.038)^{t[/tex].
Explanation:
A population function can be represented as:
[tex]P(t) = P_0(1 + r)^{t[/tex]
Where:
P(t) is the population after time tP0 is the initial populationr is the growth rate per yearFor Krystal City with a population of 40,500 and a growth rate of 3.8% annually, the function would be:
[tex]P(t) = 40500(1 + 0.038)^{t[/tex]
find a factor pair of 80 that has a sum of 21
16 and 5 are the factors
Answer: 5 and 16
Step-by-step explanation:
Because 5 plus 16 is 21.
then 5 times 16 is 80
When an elephant sat down to order a half of a third of a quarter of an eighty foot bun and a frankfurter, son was it longer than three feat o shorter
1/2 of 1/3 of 1/4 of 80ft
= 1/2 of 1/3 of (1/4 of 80ft)
= 1/2 of 1/3 of 20ft
= 1/2 of (1/3 of 20ft)
= 1/2 of (20/3) ft
= 20/6 ft
> 18/6 ft
= 3ft
So the order was longer than 3 feet.
what shapes are perpendicular sides only?
Answer:
Step-by-step explanation:
A square
What is the area of this triangle?
We use the vertical side as the base: it is a vertical segment, so it's length is the difference of the y coordinates of its endpoints:
[tex] b = y_2-y_1[/tex]
The height would be the segment starting from [tex](x_3,y_3)[/tex], perpendicular to the base. Since this is a horizontal segment, its length is the difference of the x coordinates of its endpoints:
[tex]h = x_3-x_1[/tex]
So, the area is given by
[tex]A = \dfrac{bh}{2} = \dfrac{(y_2-y_1)(x_3-x_1)}{2}[/tex]
Answer:
A = 18
Step-by-step explanation:
Drop a perpendicular from (x₃, y₃) to point A on the opposite side.
The vertical line containing A is the base of the triangle, and the horizontal line is its height,
The formula for the area of a triangle is
A = ½bh
b = y₂ - y₁ = 6
h = x₃ - x₁ = 6
A = ½ × 6 × 6 = 18
The area of the triangle is 18.
Which equation when graphed has a maximum value at x = −2? A) y = −x2 − 20x − 16, B) y = −x2 − 16x − 12, C) y = −4x2 − 20x − 16, D) y = −4x2 − 16x − 12
Answer:
Option D. [tex]y=-4x^{2} -16x-12[/tex]
Step-by-step explanation:
using a graphing tool
Graph and determine the vertex in each case
we know that
If the equation has a maximum value at x=-2, then the x-coordinate of the vertex must be equal to -2 and the parabola open downward
case A) [tex]y=-x^{2} -20x-16[/tex]
The vertex is the point [tex](-10,84)[/tex]
case B) [tex]y=-x^{2} -16x-12[/tex]
The vertex is the point [tex](-8,52)[/tex]
case C) [tex]y=-4x^{2} -20x-16[/tex]
The vertex is the point [tex](-2.5,9)[/tex]
case D) [tex]y=-4x^{2} -16x-12[/tex]
The vertex is the point [tex](-2,4)[/tex] -------> is the answer
see the attached figure
The equation with a maximum value at x = -2 is D) y = -4x^2 - 16x - 12, determined by finding the vertex of each quadratic equation and identifying the one with the vertex x-coordinate at -2.
The given equations are all in quadratic form, which can have a maximum value at their vertex point if the leading coefficient is negative. To find the equation that has a maximum value at x = -2, we need to put the equations in vertex form, which is y = a(x - h)^2 + k, where (h, k) is the vertex. By transforming the given equations, we seek the equation that has its vertex at x = -2. This is done by completing the square or using the formula h = -b/(2a) to find the x-coordinate of the vertex.
Let's apply the formula h = -b/(2a) to each equation:
For A) y = -x^2 - 20x - 16, we have a = -1, b = -20, so h = -(-20)/(2 × -1) = 10, which is not equal to -2.For B) y = -x^2 - 16x - 12, using the same approach, we find h = -(-16)/(2 × -1) = 8, again not equal to -2.For C) y = -4x^2 - 20x - 16, with a = -4, b = -20, h = -(-20)/(2 × -4) = 2.5, which is not equal to -2.For D) y = -4x^2 - 16x - 12, we find h = -(-16)/(2 × -4) = -2, which matches the required vertex x-coordinate.Therefore, the correct equation with a maximum value at x = -2 is D) y = -4x^2 - 16x - 12.
In the year 2005, a person bought a new car for $14000. For each consecutive year after that, the value of the car depreciated by 14%. How much would the car be worth in the year 2008 to the nearest hundredth? PLEASE HELP!!!!!!!
100%-14%=86%
2006, 2007, 2008 = 3 year
14 000$ *0,86³= 14000*0,636056=8904,784
answer ≈8904,78$
Answer:
8900
Step-by-step explanation:
Solve for x.
x2 - 2x = 0
A. 0,-2
B. 0,2
c. 1, -2
D. 1.2
Answer: B. 0, 2
Step-by-step explanation:
x² - 2x = 0
x(x - 2) = 0 Factored the left side
x = 0 and x - 2 = 0 Applied the Zero Product Property
x = 2 Solved the remaining equation
Therefore, x = 0 and x = 2
Be awesome! Is a new cross fit gym in town. The gym is almost set to its grand opening. The contractors are doing flooring. Gymnasium flooring cost $4.50 per square foot. The gym has 2 main rooms, one in a shape of a regular hexagon and the other in a shape of a regular nonagon. Both rooms have side lengths of 50 feet. Which of the following represents the closest estimate for the total of gymnasium flooring material? A: 29229 B: 40000
C: 69545 D: 98774
Answer:
D
Step-by-step explanation:
We need to find total area of the two rooms (hexagon and nonagon) and then multiply that by 4.5 to get total cost.
Area of Hexagon = [tex]\frac{3\sqrt{3}a^{2} }{2}[/tex]
Where a is the side length (which is 50)
Hence,
Area of Hexagon = [tex]\frac{3\sqrt{3}a^{2} }{2}=\frac{3\sqrt{3}(50)^{2} }{2}=6495.2[/tex]
Also, area of Nonagon is given by [tex]6.1818*s^2[/tex]
Where s is the length of the side
Hence,
Area of Nonagon = [tex]6.1818*s^2=6.1818*(50)^2=15,454.5[/tex]
Total floor area = 6495.2 + 15,454.5 = 21,949.7
Hence,
Total Cost = 21,949.7 * 4.5 = 98,773.65
THis is closest to the answer choice D.
find the volume of a sphere of radius 3 centimeters.
Answer:
36π cm³
Step-by-step explanation:
The volume (V) of a sphere is calculated using the formula
V = [tex]\frac{4}{3}[/tex]πr³ ← r is the radius = 3
V = [tex]\frac{4}{3}[/tex]π × 3³
= [tex]\frac{4}{3}[/tex]π × 27
= 4π × 9 ( cancelling the 3 and 27 )
= 36π cm³
Here is your answer
B) [tex]36×pi[/tex] [tex]{cm}^{3}[/tex]
REASON:
We know that,
Volume of sphere= [tex] 4/3 pi×{r}^{3} [/tex]
Here r= 3cm
So, V= [tex] 4/3 × pi× {3}^{3} cm^3 [/tex]
= [tex] 4×pi × {3}^{2} cm^3 [/tex]
= [tex] 4×9× pi cm^3 [/tex]
= [tex] 36× pi cm^3 [/tex]
HOPE IT IS USEFUL