Frank has 88 oranges at his stand, found by setting up an equation based on the ratio of apples to oranges (6:4) and the total count of fruit (220) and solving for x.
We need to find out the total number of oranges at Frank's fruit stand given that there are 220 fruits in total and the ratio of apples to oranges is 6:4. To do this, let's denote the total number of apples as 6x and the total number of oranges as 4x. The reason behind this is to maintain the ratio of 6 to 4 (or 3 to 2 when simplified). Since the total amount of apples and oranges is 220, we can set up the equation:
6x + 4x = 220
Combining like terms, we get:
10x = 220
Dividing both sides by 10 yields:
x = 22
Now that we have the value of x, we can find the number of oranges (which is 4x) by multiplying 4 by 22:
4x = 4 * 22 = 88
Therefore, Frank has 88 oranges at his fruit stand.
what is the lateral and surface area of a cone with a radius of 3 and height of 3
[tex]\bf \textit{lateral area of a cone}\\\\ LA=\pi r\sqrt{r^2+h^2}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=3\\ h=3 \end{cases}\implies LA=\pi (3)\sqrt{3^2+3^2} \\\\\\ LA=3\pi \sqrt{2(3^2)}\implies \boxed{LA=9\pi \sqrt{2}} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\bf \textit{total surface area of a cone}\\\\ SA=\pi r\sqrt{r^2+h^2}+\pi r^2~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=3\\ h=3 \end{cases}\implies SA=\boxed{9\pi \sqrt{2}}+\pi 3^2 \\\\\\ SA=9\pi \sqrt{2}+9\pi \implies SA\approx 68.26[/tex]
I need help solving for this
Answer: 12/15 = 0.8
Step-by-step explanation: There are 12 donuts and 15 teachers, just divide the amount of donuts by the amount of teachers. Hope that helps.
algebraic expression for x subtracted from 15
Answer:
15-x
Step-by-step explanation:
x subtracted from 15 - key word is subtracted from
that means flip it when it is written so it is 15-x
♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫
➷ The algebraic expression for x subtracted from 15 is:
15-x
This is because it says x subtracted from 15, meaning x is taken out of 15.
✽
➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
TROLLER
Complete the equation 1 2/3mi = ? ft
A- 8,800
B- 9,600
C- 10,560
D- 13,200
Answer:
A. Hope this helps.
Which point represents the center of the circle below ?
D.
If you look at the circle the point O is most is obviously in the center .
Answer:
D) Point O is the center.
Step-by-step explanation:
Given : Circle.
To find : Which point represents the center of the circle below.
Solution : We have given Circle.
The center of a circle is the point which is equidistant from all points on the circle.
Point O is equidistant from point R and S and A.
So, Center of the circle is O.
Therefore, D) Point O is the center.
using the area model 8,708÷28
Answer:
311
Step-by-step explanation:
Abigail has 16 apples she eats 2 apples per day.let y be the apples remaining as a function of the number of week,x
Answer:
8 days
Step-by-step explanation:
question
how much apples remaing as a function of the number of week ? so Abigail has 16 apples she eats 2 apples per day
1 st how long before all her apples Finnish
8 days how
count by twos until u reach 16
so x= 8
Final answer:
Abigail has 16 apples, and by eating 2 per day, she consumes 14 per week. The function for remaining apples after x weeks is y = 16 - 14x.
Explanation:
Abigail has 16 apples and eats 2 apples per day. To express the remaining apples, y, as a function of the number of weeks, x, we first need to determine how many apples are eaten in one week. Since there are 7 days in a week and Abigail eats 2 apples per day, she will eat 14 apples in one week.
The function describing the remaining apples after x weeks can be constructed as follows:
Start with the total number of apples Abigail has, which is 16.
Calculate the total apples consumed in x weeks: Apples eaten per week × Number of weeks (x), which is 14x.
Subtract the total apples consumed from the initial amount to get the remaining apples: y = 16 - 14x.
This equation represents the remaining apples as a function of the number of weeks.
Assuming a 90% confidence level, the margin of error is approximately?
Answer:
0.3
Step-by-step explanation:
The margin of error is calculated as ...
(standard deviation)/√(sample size) × (z*-score)
where the z*-score is chosen based on the desired confidence level.
Here, you have ...
standard deviation = 2.7√(sample size) = √225 = 15z*-score for 90% confidence level = 1.645Putting these values in the above expression for margin of error gives ...
2.7/15·1.645 = 0.2961 ≈ 0.3
Answer:
0.3.
between 20.3 and 20.9
Step-by-step explanation:
The width of a rectangle is 8 inches and the length is 5 inches. What is the perimeter of the rectangle? 13 in. 26 in. 40 in. 21 in.
The perimeter is the total outside dimensions.
There are 2 sides that are 8 inches and 2 sides that are 5 inches.
Perimeter = 8+8+5+5 = 26 inches.
The required perimeter of the rectangle is 26 inches
What is a rectangle?A rectangle is a four sided quadrilateral, having all the internal angles equal to 90 degrees and opposite sides are equal and parallel.
What is perimeter?A perimeter of a figure is the sum of all the sides that bounds the figure.
How to find the perimeter of a rectangle?The perimeter of a rectangle can be found by the formula : 2(length + breadth)In the given problem,
Length of the rectangle is 5 inchesBreadth of the rectangle is 5 inches.∴ Perimeter of the rectangle = 2(8 + 5) inches
= 26 inches
Find out more details about "Rectangle" here: https://brainly.com/question/25292087
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Find the distance between (-3,2) and (5, -6) using the distant formula.
[tex]\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-3}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{-6})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[5-(-3)]^2+[-6-2]^2}\implies d=\sqrt{(5+3)^2+(-8)^2} \\\\\\ d=\sqrt{8^2+8^2}\implies d=\sqrt{2(8^2)}\implies d=8\sqrt{2}[/tex]
The distance between (-3, 2) and (5, -6) is [tex]\(8\sqrt{2}\)[/tex] units.
The distance between two points [tex]\((x_1, y_1)\)[/tex] and [tex]\((x_2, y_2)\)[/tex] in a two-dimensional Cartesian plane can be found using the distance formula:
[tex]\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \][/tex]
In this case, the points are (-3, 2) and (5, -6). Let's plug in these values into the formula:
[tex]\[ d = \sqrt{(5 - (-3))^2 + ((-6) - 2)^2} \][/tex]
Simplify the expression inside the square root:
[tex]\begin{aligned}& d=\sqrt{(5+3)^2+(-8)^2} \\& d=\sqrt{8^2+64} \\& d=\sqrt{64+64} \\& d=\sqrt{128} \\& d=8 \sqrt{2}\end{aligned}[/tex]
the poduct of 10 and a number is 3 less than the number
Answer:
Step-by-step explanation:
10 x = x - 3 Subtract x from both sides
10x - x = - 3 Combine like terms on the left
9x = - 3 Divide both sides by 9
9x/9 = -3/9
x = - 1/3 or x = - 0.333333
Can somebody help me answer these plz?
Answer:
At = 27.225 ft2
Step-by-step explanation:
Hello
The triangle area is:
At = (b*h)/2
At = (9.9*5.5)/2
At = 27.225 ft2
Best regards
the function h(x)=x^2+3 and g(c)=x^2-6. if g(x)=h(x)+k, what is the value of k?
i am so confused and i really need this answer soon someone please help
ANSWER
k=-9
EXPLANATION
The given function is
[tex]h(x) = {x}^{2} + 3[/tex]
and
[tex]g(x) = {x}^{2} - 6[/tex]
We want to rewrite g(x) in terms of f(x).
[tex] {x}^{2} - 6 = {x}^{2} + 3 + - 9[/tex]
This implies that,
[tex]g(x) = h(x) + - 9[/tex]
When we compare, we realize that
[tex]k = - 9[/tex]
Explain the difference between multiplying by powers of 10 when the exponent is a positive number and when the exponent is a negative number
Answer:
a negative number makes fractions. a positive one makes bigger number
Step-by-step explanation:
Answer:
a negative number makes fractions. a positive one makes bigger number
Step-by-step explanation:
Write an equation in point-slope form of the line through point (4, -4) with slope, m=4
Answer:
y + 4 = 4(x-4)
Step-by-step explanation:
Use the point slope form of a line to write the equation by substituting m = 4 and the point (4,-4).
[tex]y - y_1 = m(x-x_1)\\y --4=4(x-4)\\y + 4 = 4(x-4)[/tex]
Is it independent or dependent?
Answer: I would say Independent
Step-by-step explanation:
the area of a parallelogram is 36x^6y^5. if the base of the parallelogram is 3xy^2,what is the height of the parallelogram asap
Answer:
h = 12x^5y^3
Step-by-step explanation:
The area of a parallelogram is found using A = b*h. Substitute the values given and solve for h.
A = b*h
36x^6 y^5 = 3xy^2 * h
36x^6 y^5 ÷ 3xy^2 = h
12x^5y^3 = h
Solve the equation. x^2 − 6x − 7 = 0
A) x = 7
B) x = 1
C) x = 1 or x = −7
D) x = −1 or x = 7
x equals 7,-1 :)))))))))))
Answer:
D
Step-by-step explanation:
given x² - 6x - 7 = 0 ← in standard form
To factor the quadratic
Consider the factors of the constant term ( - 7 ) which sum to give the coefficient of the x- term ( - 6)
The factors are - 7 and + 1, since
- 7 × 1 = - 7 and - 7 + 1 = - 6, thus
(x - 7)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 7 = 0 ⇒ x = 7
x + 1 = 0 ⇒ x = - 1
The solution to the equation is D
solve y^2+7y+12=0 by completing the square.
Answer:
y = -3, -4
Step-by-step explanation:
Formula is (b/2)^2
So...
(y+7/2)^2 - 1/4 = 0
Add 1/4 to each side
(y+7/2)^2 = 1/4
Square root...
y+7/2 = +-1/2
Add
y = -3, -4
Find the output, k, when the input, t, is -7
K = 10t - 19
K= ?
Answer:
k= -89
Step-by-step explanation:
k = 10t - 19 and t = -7
k=10 (-7) - 19
k= -70 - 19
k= -89
Answer:
-89
Step-by-step explanation:
Write the following decimal number in its equivalent fraction form. Show all work for full credit. 0.255
are any two regular polygons similar. The area of the smaller figure is about 390 cm^2. choose the best estimate of the area of the larger figure
Answer:
The best estimate of the area of the larger figure is [tex]693\ cm^{2}[/tex]
Step-by-step explanation:
step 1
Find the scale factor
we know that
If two figures are similar, then the ratio of its corresponding sides is equal to the scale factor
Let
z----> the scale factor
x-----> the corresponding side of the larger figure
y-----> the corresponding side of the smaller figure
so
[tex]z=\frac{x}{y}[/tex]
we have
[tex]x=12\ cm[/tex]
[tex]y=9\ cm[/tex]
substitute
[tex]z=\frac{12}{9}=\frac{4}{3}[/tex] -----> the scale factor
step 2
Find the area of the larger figure
we know that
If two figures are similar, then the ratio of its areas is equal to the scale factor squared
Let
z----> the scale factor
x-----> the area of the larger figure
y-----> the area of the smaller figure
so
[tex]z^{2}=\frac{x}{y}[/tex]
we have
[tex]z=\frac{4}{3}[/tex]
[tex]y=390\ cm^{2}[/tex]
substitute and solve for x
[tex](\frac{4}{3})^{2}=\frac{x}{390}[/tex]
[tex](\frac{16}{9})=\frac{x}{390}[/tex]
[tex]x=390*16/9=693.33\ cm^{2}[/tex]
Plz help Needed for graduation!!
Answer:
[tex]\large\boxed{25^\frac{5}{2}=3,125}[/tex]
Step-by-step explanation:
[tex]a^n\cdot a^m=a^{n+m}\\\\a^\frac{m}{n}=\sqrt[n]{a^m}\\\\======================\\\\25^\frac{5}{2}=25^{2\frac{1}{2}}=25^2\cdot25^\frac{1}{2}=625\sqrt[2]{25^1}=625\sqrt{25}=625(5)=3,125[/tex]
Helping my son with math homework. How do you do these types of questions?
7a/10 = 77/60
You want to find out what a is.
7a / 10 = 77 / 60
Put your equation into the form Ax = B, where x = a
You can multiply both sides by 10 to get rid of the denominator.
7a / 10 * 10 = 77 / 60 * 10
7a = 77 / 6
Put your equation into the form x = B, where x = a
You can get a on it's own by dividing both sides by 7.
7a ÷ 7 = 77 / 6 ÷ 7
a = 77 / 6 ÷ 7
When dividing fractions:
Convert 7 to a fraction: [tex]\frac{7}{1}[/tex]
Flip the second fraction and multiply.
[tex]\frac{77}{6}[/tex]*[tex]\frac{1}{7}[/tex]=[tex]\frac{77}{42}[/tex]
a = 77 / 42
Simplify the fraction by dividing be a common factor - 7.
77 ÷ 7 = 11
42 ÷ 7 = 6
a = 11 / 6The value of a is 11/6
Step-by-step explanation:see the image
PLEASE HELP ME! Thanks! Brett is making a fruit salad. The recipe calls for 1 1/2 cups of apple, 3/4 cup of
oranges, and 2/3 cup of grapes. How many cups of fruit salad will Brett’s recipe make?
Answer:
2 11/12
Step-by-step explanation:
first we need to convert 3/4 and 2/3 to even denominators. I used the number 12.
9/12 + 8/12 = 17/12
1/2 = 6/12
17/12 + 6/12 = 23/12
23/12 = 1 11/12
But we still have 1 from the 1 1/2 so add that
1 + 1 11/12 = 2 11/12
2 11/12
Hope this helps! Please mark as brainliest! Thanks!
Camille collects stickers. Her sticker book holds 5 stickers in each row. When a page is full, it holds 65 stickers. How many rows of stickers are on a full page?
118,437 stickers. Trust me. I am REALLY good at math.
Tan 64 degrees = height / 75 ft
Answer:
176.08952318965774 or 176.1
Step-by-step explanation:
Tan(64) = h/75
Tan(64) * 75
= 176.08952318965774
(12 × 6) × 10 Which of the following is equal to the expression listed above? A. (12 × 6) + 10 B. (12 × 6) × (6 × 10) C. 12 × (6 × 10) D. 10 × 12 + 10 × 6
Help please! 8th grade math! ASAP
17. 1lb is the better deal
18. about $17
19. 1.5lbs I think
20. 7000lbs
(06.04 MC)
What is the approximate equation of this line of best fit in slope-intercept form?
Answer:
The equation of the line of best fit is y = (-9/7)x + 13.
Step-by-step explanation:
The y-intercept of this straight line is (0, 13); we could also say that b = 13.
Two points on the graph are (0, 13) and (7, 4). As we go from x = 0 to x = 7, x increases by 7; at the same time, y decreases by 9.
From this observation, we can easily calculate the slope of this line:
m = rise / run = -9/7.
Then the equation of the line of best fit is y = (-9/7)x + 13.
The equation which represents the line that best fits the given data points is [tex]\[ y = -\frac{3}{2}x + 15 \][/tex]
Certainly! Let's go through the steps to find the equation of the line using the points (0, 15) and (10, 0).
1. Calculate the Slope [tex](\(m\))[/tex]:
The slope of a line [tex](\(m\))[/tex] is given by the formula:
[tex]\[ m = \frac{y_2 - y_1}{x_2 - x_1} \][/tex]
Using the points [tex]\((0, 15)\)[/tex] and [tex]\((10, 0)\)[/tex]:
[tex]\[ m = \frac{0 - 15}{10 - 0} \][/tex]
[tex]\[ m = \frac{-15}{10} \][/tex]
[tex]\[ m = -\frac{15}{10} \][/tex]
This can be simplified further by dividing the numerator and denominator by 5:
[tex]\[ m = -\frac{3}{2} \][/tex]
So, the slope[tex](\(m\))[/tex] is [tex]\(-\frac{3}{2}\).[/tex]
2. Find the Y-Intercept [tex](\(b\))[/tex]:
The y-intercept [tex](\(b\))[/tex] is the y-value when (x = 0). We are given the point [tex]\((0, 15)\),[/tex] so the y-intercept is 15.
3. Write the Equation of the Line:
The equation of a line is in the form (y = mx + b), where (m) is the slope and (b) is the y-intercept.
Now we substitute the slope [tex]\(-\frac{3}{2}\)[/tex] for (m) and the y-intercept 15 for (b) in the equation (y = mx + b):
[tex]\[ y = -\frac{3}{2}x + 15 \][/tex]
So, the equation of the line of best fit in slope-intercept form using the points [tex]\((0, 15)\)[/tex] and [tex]\((10, 0)\)[/tex] is:
[tex]\[ y = -\frac{3}{2}x + 15 \][/tex]
This equation represents the line that best fits the given data points.
Question
(06.04 MC) Dennis drew the line of best fit on the scatter plot shown below: A graph is shown with scale along x axis from 0 to 10 at increments of 1 and scale along y axis from 0 to 15 at increments of 1.The ordered pairs 0, 15 and 0.5, 14 and 1, 13 and 2, 12 and 3, 11 and 4, 9 and 5, 8 and 6, 6 and 7, 4.5 and 8, 2.3 and 9, 2 and 9.8, 0.5 are shown on the graph. A straight line joins the ordered pairs 0, 15 and 10, 0. What is the approximate equation of this line of best fit in slope-intercept form?