caroline has enough pumpkin seeds to cover an area of 350 square feet. her garden measures 18 feet by 22 feet. does she have enough pumpkin seeds to fill the whole garden? explain
yes
area = 18 × 22 = 396 ft²
Since 396 > 350
Caroline has more than enough to fill her garden
Complete the equation of the line through (-1,6) (7,-2)
Like Y= ??
The point-slope form:
[tex]y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the points (-1, 6) and (7, -2). Substitute:
[tex]m=\dfrac{-2-6}{7-(-1)}=\dfrac{-8}{8}=-1\\\\y-6=-1(x-(-1))\\\\y-6=-(x+1)\\\\y-6=-x-1\qqiad|\text{add 6 to both sides}\\\\\boxed{y=-x+5}[/tex]
⦁ Holly, Tyler, and their parents go shopping for some items to update their 3 bedrooms. They have exactly $325 that they can spend. They have the following items in their cart: 3 packages of curtains, 3 bedspreads, 3 gallons of paint, and 3 lamp shades. Complete the following to find out if they have enough money to purchase these items and, if they do, how much they will have left over.
⦁ If a package of curtains cost $24.50, what is the cost of the 3 packages of curtains in the cart?
⦁ If a bedspread costs $39.95, what is the cost of the 3 bedspreads in the cart?
⦁ If a gallon of paint costs $24.96, what is the cost of the 3 gallons of paint in the cart?
⦁ If a lamp shade costs $9.99, what is the cost of the 3 lamp shades in the cart?
⦁ Find the total cost of all the items in the cart. Then, find the amount of money the family has left, if any, from the $325.
PLS PLEASE HELP ME!!!!!!!ASAP!!!!!!????
Curtains:
$24.50 x 3 = $73.50
Bedspread:
$39.95 x 3 = $119.85
Gallon of paint:
$24.96 x 3 = $74.88
Lamp shade:
$9.99 x 3 = $29.97
The cost of all the items:
$73.50 + $119.85 + $74.88 + $29.97 = $298.20
How much money is left:
$325 - $298.20 = $26.80
So the family has $26.80 left.
Hope this Helps!!
The curve of best fit to model the data is given below.
y=18,582(0.90)^x
Use the exponential model to complete the following statements. Round to the nearest whole number, if necessary.
There were ______ visitors on the opening weekend.
There were approximately _____ visitors on the 9th weekend.
The number of visitors was about 15,051 after ______ weekends.
Answer:
1) There were 18582 visitors on the opening weekend.
2) There were approximately 7199 visitors on the 9th weekend.
3) The number of visitors was about 15,051 after 2 weekends.
Step-by-step explanation:
Given : The curve of best fit to model the data is given below.
[tex]y=18582(0.90)^x[/tex]
To find : Complete the statements,
1) There were _____ visitors on the opening weekend.
2) There were approximately _____ visitors on the 9th weekend.
3) The number of visitors was about 15,051 after ______ weekends.
Solution :
[tex]y=18582(0.90)^x[/tex] is the exponential equation:
where, y is the number of visitors and x are the weekends since opening
1. Since the opening weekend is the day of the the park's opening.
So, replace x=0 in our exponential equation to get the number of visitors on the opening weekend:
[tex]y=18582(0.90)^x\\y=18582(0.90)^0\\y=18582(1)\\y=18582[/tex]
Therefore, There were 18582 visitors on the opening weekend.
2. To find the approximate number of visitors on the ninth weekend.
We replace x=9 in our exponential equation:
[tex]y=18582(0.90)^x\\y=18582(0.90)^9\\y=7199.0475[/tex]
Rounded to the nearest integer : y=7199
Therefore, There were approximately 7199 visitors on the 9th weekend.
3. Here, we know that the number of visitors is 15051
Since y represents the number of visitors.
So, replace y=15051 in our exponential equation and solve for x:
[tex]y=18582(0.90)^x\\\\15051=18582(0.90)^x\\\\ \frac{15051}{18582} =0.90^x\\\\0.90^x= \frac{5017}{6194} \\\\ln(0.90^x)=ln(\frac{5017}{6194})\\\\xln(0.90)=ln(\frac{5017}{6194})\\\\x= \frac{ln(\frac{5017}{6194})}{ln(0.90)} \\\\x=2.0002[/tex]
Rounded to the nearest whole number : x=2
Therefore, The number of visitors was about 15,051 after 2 weekends.
What is the value of arcsin (-0.18)? Use a calculator to determine the answer.
Answer:
A) -0.18 rad
Step-by-step explanation:
arcsin(x) = a means that sin(a) = x
For example
arcsin(1) = pi/2.
It means that pi/2 is the value for which the sin is equals to 1.
arcsin(-0.18)
This is the value of x for which sin(x) = -0.18. This happens for x = -0.18 rad.
So the correct answer is:
A) -0.18 rad
What is the value of y = sin (θ) when θ = pi/2 ? a.−1 b.1 c.0 d. cannot be determined
The value of y = sin (θ) when θ = pi/2 is 1.
What is trigonometry?It is the branch of maths concerned with the functions of angles and their involvement in calculations.
We can calculate the value of sin(θ) as follows:
θ = π/2
π/2 is the radian form of 90°
y = sin (θ)
= sin (π/2)
= 1
The value of y = sin(θ) is 1. The correct answer is option B.
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Write an expression for the calculation divide 10 in half and subtract from 50 divide into fifths
There are several issues with this English description, as there often are.
We assume you mean you want to divide 10 into two equal parts, then subtract one of those parts from 50.
... (10/2) is half of 10
When that is subtracted from 50, the result is
... 50 - (10/2)
We assume you want one fifth of this result. Other interpretations are that you are subtracting 10/2 from (50/5), or that you are using the difference as the denominator with 1/5 or some other number of fifths as the numerator (dividing <the difference> into 1/5).
Then your expression might be ...
... (1/5)(50 -10/2)
_____
There are ways to write math expressions in English so they are unambiguous. This isn't one of them. It must be done very carefully, as English is often intentionally vague and subject to a variety of interpretations (as most human languages are). Good punctuation helps.
Alice earns simple interest of $120 at an annual interest rate of 6% for the period of 1 year. What equation shows the relationship between principal amount (p), rate of interest (r), period of investment in years (t), and interest earned (i).
i = [tex]\frac{prt}{100}[/tex]
with i = 120 then
p = [tex]\frac{100(120)}{6}[/tex] = $2000
Answer:
120 = p × 6% × 1
Step-by-step explanation:
just put in the answer
then it will be correct
Can someone graph x < 2?
To graph x < 2, draw a number line with an open circle at 2, and shade to the left of the circle. This indicates all numbers less than 2 are included, while 2 itself is not.
Explanation:To graph the inequality x < 2, you first need to draw a number line. Let's represent x by a point on the number line. The inequality x < 2 means that x can be any value less than 2, but not 2 itself.
To represent this on the number line, you would place an open circle (which represents exclusion) at 2, and then shade or draw an arrow pointing to the left (representing all numbers less than 2). This visually shows that the solution contains all numbers less than 2, but not 2 itself.
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Q #5 please I need your help
"Standard form" is the form ...
... ax +by = c
where a, b, c are mutually prime integers and the leading coefficient is positive. (If a ≠ 0, then it is "leading". If a = 0, then b is the leading coefficient.)
Of the choices offered, the only one that is equivalent to the given equation is ...
... -x + 6y = 5
_____
However, "standard form" requires the leading coefficient be positive, so an appropriate answer would be ...
... x -6y = -5
or
... 6y -x = 5
____
This is another one for my "broken question" file.
4z+27+5x=14y
If x,y and z each represent a different digit from 0 - 9 what is the value of (x)(y)(z)
In order for the equation to work, x must be odd. Trying different values of x, we find 5 solutions:
(x, y, z) = (1, 4, 6), (3, 5, 7), (5, 6, 8), (7, 5, 2), (9, 6, 3)
Then the product xyz could be any of 24, 105, 240, 70, or 162.
The drama club is washing cars for a fundraiser if the rate continues how many cars will they wash in 4 hours
In order to calculate the number of cars the drama club could wash in 4 hours, one needs to know their washing rate per hour. Supposing it to be 2 cars/hour, the multiplication of the rate by the number of hours (2 * 4), shows that they could wash 8 cars.
Explanation:The subject of this question is mathematics, specifically rate problems in the context of a real-world situation. In order to solve a problem like this, we need to know the rate at which the drama club is washing cars. This information is missing from the question, so let's suppose that they wash 2 cars per hour. In that case, their rate of washing cars is 2 cars/hour. Then, if you want to find out how many cars they could wash in 4 hours if they continue at this pace, you'll need to multiply their rate by the number of hours.
Let's calculate: Rate (2 cars/hour) * Time (4 hours) = 8 cars.
This means that if they keep washing cars at a rate of 2 cars per hour, they will have washed 8 cars in 4 hours.
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The number of counties in state A and the number of counties in state B are consecutive even integers whose sum is 142. If state A has more counties than state B, how many counties does each state have?
Let the number of counties in state B be n, then the number of counties in state A is n+2 (the next even integer number after n). The sum of these two consecutive integers is 142, then
n+n+2=142,
2n=142-2,
2n=140,
n=70.
In state B there are 70 counties, and in state A there are 72 counties.
Use the Counting Principle to find the probability of choosing the 8 winning lottery numbers when the numbers are chosen at random from 0 to 9.
A. 1 in 100,000,000
B. 1 in 43,046,721
C. 1 in 1,000,000,000
D. 1 in 10,000,000
Answer: A. 1 in 100,000,000
Step-by-step explanation:
The given digits are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9)
The total number of digits = 10
Now by using the counting principle, the probability of choosing one number is given by :-
[tex]\text{P(one number)}=\dfrac{1}{10}[/tex]
Therefore, the probability of choosing 8 numbers (with replacement ) will be :
[tex]\dfrac{1}{10}\times\dfrac{1}{10}\times\dfrac{1}{10}\times\dfrac{1}{10}\times\dfrac{1}{10}\times\dfrac{1}{10}\times\dfrac{1}{10}\times\dfrac{1}{10}=(\dfrac{1}{10})^8=\dfrac{1}{100,000,000}[/tex]
Simplify the expression by combining like terms.
8m + 13g - 8 +3m-g
8m + 13g - 8 + 3m - g
8m + 3m = 11m
13g - g = 12g
11m + 12g - 8 ⇒ Your simplified expression
There you go! I really hope this helped, if there's anything just let me know! :)
Answer:
11m+12g-8
Step-by-step explanation:
8m+13g-8+3m-g
8m+3m+13g-g-8
11m+12g-8
Evaluate the expression {362-[6×3+(48÷2)×2]}+3(9+4)
{362- {6x3+(48/2) x2]}+3(9+4)
{362- {6x3+24 x2]}+3(9+4)
{362- 66+3(9+4)
{362- 66+3(9+4)
{296+3(13)}
(296+39)
335
The Answer is 335.
To evaluate the expression {362-[6×3+(48÷2)×2]}+3(9+4), we need to follow the order of operations. After simplifying each part of the expression and performing the necessary operations, the final result is 287.
Explanation:To evaluate the expression {362-[6×3+(48÷2)×2]}+3(9+4), we need to follow the order of operations, also known as PEMDAS. This acronym stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
First, let's simplify the expression inside the parentheses: [6×3+(48÷2)×2].
Using the division rule, we have: [6×3+(24)×2].Next, we perform the multiplications: [18+48×2].Then, we simplify further: [18+96].The sum inside the parentheses is equal to 114. Therefore, the expression becomes {362-114}+3(9+4).Next, let's evaluate the expression inside the curly braces: {362-114}. This can be done by subtracting 114 from 362, resulting in 248.Finally, we have to evaluate the expression 3(9+4). Following the order of operations, we perform the addition inside the parentheses first: 3(13). Multiplying 3 by 13 gives us 39.Now, we add the results of the two evaluated expressions: 248+39. This gives us a final result of 287.
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25 is the result when 8 and x are added. What is the value of x? Enter your answer in the box as a fraction in simplest form.
Its simply just 8 minus 25 to find x but there is no fraction.
Which inequality correctly compares two of these times? A) 54.05 > 54.15 B) 54.5 < 54.1 C) 54.15 > 54.05 D) 54.1 < 54.05
c is right answer because 54.15 is bigger than 54.05
In comparing decimal numbers using inequalities, choice C (54.15 > 54.05) is correct. The other three options incorrectly compare the numbers.
Explanation:The question is asking us to compare two different decimal numbers using inequalities. Inequalities in mathematics are used to show the order of numbers, illustrating which is greater or less than the other.
Let's look at each option:
A) 54.05 > 54.15 - This is incorrect because 54.05 is less than 54.15.B) 54.5 < 54.1 - This is incorrect because 54.5 is actually greater than 54.1.C) 54.15 > 54.05 - This is correct because 54.15 is indeed greater than 54.05.D) 54.1 < 54.05 - This is incorrect because 54.1 is greater than 54.05.Therefore, the choice C correctly compares the two decimal numbers using inequalities.
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What does the intersection of two coplanar lines form?
a. a point
b. a line
c. a plane
d. an angle
The intersection of two coplanar lines forms a point.
Option A is the correct answer.
What are corresponding angles?The angles that are in the same position on two parallel lines intersected by a transversal line on the parallel lines.
Corresponding angles are equal.
We have,
The intersection of two coplanar lines forms:
a.
a point
This is true.
Because two lines that intersect and form a point are called coplanar.
b.
a line
This is not true.
c.
a plane
This is not true.
Two axis makes a plane.
d.
an angle
This is not true.
An angle is formed when two straight lines or rays meet at a common endpoint.
Thus,
A point is formed by the intersection of two coplanar lines.
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What is the sum of the series?
2+6+18+54+...+39,366
Try this solution (see the attachment; the given series is an geometric series).
Answer is marked by red colour.
Pls help need ans ASAP
MP = MP, so triangle MPN ≅ triangle MPK by SSS. That means ∠NMP ≅ ∠KMP by CPCTC, so
... ∠NMP + ∠PMK = ∠NMK
... 2×∠PMK = 50° . . . substitute ∠PMK for ∠NMP, with which it is congruent
... ∠PMK = 25° . . . . . divide by 2
Which of the following statements is NOT true?
A. A number ending in 0 or 5 is always divisible by 5.
B .A number ending in 0 is always divisible by 10.
C. If a number is divisible by both 2 and 3, then it is not divisible by 6.
D. Odd numbers are not divisible by 2.
Answer:
The answer is C
Step-by-step explanation:
Your welcome :)
what is the y-intercept of (2, 18) and (6, 6)?
Assuming you want the y-intercept of the line through those two points, you can find it a couple of different ways.
The slope of the line is ...
... slope = (change in y)/(change in x) = (6-18)/(6-2) = -12/4 = -3
We are given the y-value for x=2. When x decreases by 2 to x=0, then the y-value changes by (-2)·(-3) = +6, from 18 to 24.
___
You can also write the equation of the line in point-slope form as ...
... y = -3(x -2) +18
Again, when x=0, the y-intercept is ...
... y = -3(0 -2) +18 = 6 +18 = 24
The y-intercept of the line through (2, 18) and (6, 6) is 24.
What happens if the correlation coefficient equals 0? A. There is a strong negative linear relationship between x and y. B. There is not a linear relationship between x and y. C. There is a strong positive linear relationship between x and y. D. There is a weak negative linear relationship between x and y.
The appropriate choice for the interpretation of a correlation coefficient of 0 is ...
... B. There is not a linear relationship between x and y.
Answer:
B.
There is not a linear relationship between x and y.
Step-by-step explanation:
PLATO fam
if i have a pay rate of $21.00 and marked up 78.7% and made a 10% profit. how did i get $41.28?
Step-by-step explanation:
Since we have given that
Amount of pay rate =$21
If she marked up by 78.7% , so it becomes
[tex]78.7\%\text{ of}\$21\\\\=\frac{78.7}{100}\times \$21\\\\=\$16.527[/tex]
So, our amount for pay rate becomes
[tex]21+16.527\\\\=\$37.527[/tex]
Now, he said he made a profit of 10%,so it becomes
[tex]10\%\text{ of }37.527\\\\=\frac{10}{100}\times 32.527\\\\=\$3.7527[/tex]
So, our new pay rate becomes
[tex]37.527+3.7527\\\\=\$41.2797[/tex]
This is the step through which we can get $41.28.
Explicit formula for 79,71,63,55
Your sequence has a common difference of -8, so could be considered an arithmetic sequence with first term 79. A formula for the n-th term might be ...
... a[n] = 79 -8(n -1)
or
... a[n] = 87 -8n
Angelo, age 40, is comparing the premium for a $125,000 whole life insurance policy he may take now and the premium for the same policy taken out at age 45. Using the table, find the difference in total premium costs over 20 years for this policy at the two age levels. a. $69,375 b. $11,725 c. $12,875 d. $644
Policy value over 20 years = 125000
Per year, 125000/20=$6250
Look up premium table for age 40 and 45, the difference in total premium is C. $12,875.
To find the difference in total premium costs over 20 years for a whole life insurance policy at two age levels, calculate and subtract the total premium at each age.
Explanation:To find the difference in total premium costs over 20 years for the whole life insurance policy at the two age levels, we need to calculate the total premium at each age and then subtract the two values.
For Angelo at age 40, the value of the policy is $125,000. Let's assume the premium rate is x. So, the total premium at age 40 is 20 * x. For Angelo at age 45, the value of the policy is still $125,000. Let's assume the premium rate is y. So, the total premium at age 45 is 15 * y. To find the difference in total premium costs over 20 years, subtract the total premium at age 45 from the total premium at age 40: 20 * x - 15 * y.Therefore, the difference in total premium costs over 20 years for this policy at the two age levels is 20 * x - 15 * y.
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HURRY 30 PTS
What is the equation of the graphed line written in standard form?
A. 3x + y = –5
B. x + 3y = –5
C. 3x – 5y = –15
D. 5x – 3y = 15
D
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 gradient formula
m = ( y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (3, 0 ) and (x₂, y₂ ) = (0, - 5 )
m = [tex]\frac{-5-0}{0-3}[/tex] = [tex]\frac{5}{3}[/tex]
line crosses y-axis at (0, - 5 ) hence c = - 5
y = [tex]\frac{5}{3}[/tex] x - 5 ← in slope-intercept form
the equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
rearrange slope-intercept form into standard form
multiply all terms by 3
3y = 5x - 15 ( subtract 3y and add 15 to both sides )
5x - 3y = 15 ← in standard form → D
Answer:
its d on edgunity
Step-by-step explanation:
A cake recipe asked for 4⁄6 of a cup of oil, but Brad accidentally poured 5⁄6 of a cup of oil into the batter. How much extra oil did Brad pour into the batter?
Find the equation of the line in slope-intercept form.Slope is 2/3 through (3, 4)
Remark
You have been told that the slope of the line is 2/3. That means that if the general equation is y = mx + b is the equation for the slope intercept formula and since m = the slope, then m also equals 2/3
y = (2/3)x + b
Use the point to find b
when x = 3
y = 4 This comes from the point
4 = (2/3) * 3 + b multiply 2/3 and 3 together
4 = 6/3 + b Simplify 6/3
4 = 2 + b Subtract 2 from both sides
4 - 2 = b Combine
2 = b
Equation
y = (2/3)x + 2
Hey there!!
What is slope-intercept form ?
Ans :- y = mx + b
Where 'm' is the slope and 'b' is the y-intercept.
Given :
Slope = 2/3
Coordinate : ( 3 , 4 )
Now, plugging in all these values, we get :
... 4 = ( 2/3 )×3 + b
... 4 = 2 + b
b = 2
Hence, the y -intercept is 2.
Getting this into slope-intercept form :
y = ( 2x/3 ) + 2
Hope my answer helps!!