Answer:
Eva used a side dimension instead of the height.
Step-by-step explanation:
The base needs to be multiplied by the height, then the result needs to be divided by 2. Eva's mistake is using a side dimension instead of the height. Her approach only works for a right triangle.
Eva multiplied the base by the side height, not the actual height.
Step-by-step explanation:
The area of a triangle is b×h×½, or b×h÷2. Eva multiplied the length times one side, as it says in the problem. The actual height of the triangle we don't know, but we know that Eva multiplied the base, 7.8 cm, by the wrong height.
Hope this helps! (Plz give me brainliest, it will help me achieve my next rank.)
Jerry wants to buy his grandpa’s old car for $500.00. He works 10 hours a week at $7.50 an hour. How many weeks will he need to work before he earns enough money to buy the car?
Answer:
she needs to save up for 3 months
Step-by-step explanation:
What's the difference?
Answer:
first one is the right one
Step-by-step explanation:
Complete the table for different values of X in the polynomial expression -7x^2+32x+240. Then, determine the optimal price that the taco truck should sell it’s tacos for. Assume whole dollar amounts for the tacos.
Answer:
$6
Step-by-step explanation:
Tico’s taco truck is trying to determine the best price at which to sell tacos, the only item on the menu, to maximize profits. The taco trucks owner decided to adjust the price per taco and record data on the number of tacos sold each day with each new price. When the taco truck charges $4 for a taco, it sells an average of 60 tacos in one day. With every $1 increase in the price of a taco, the number of tacos sold per day decreases by 7.
The owner can calculate the daily revenue using the polynomial expression (-7x²+32x+240),
where x is the number of $1 increases in the taco price. In this activity, you’ll interpret and manipulate this expression and the scenario it represents.
x is number of $1 increments above the initial price of $4. (x=0 means a price of $4, x=1 means a price of $5, etc.)
The revenue is -7x²+32x+240. The average number of tacos sold is the revenue divided by the price.
For example, if x = 0, then the taco price is $4, the revenue is $240, and the number of tacos sold is 60.
If x = 1, then the taco price is $5, the revenue is $265, and the number of tacos sold is 53.
Each time x increases by 1, the number of tacos sold decreases by 7.
Continuing:
[tex]\left[\begin{array}{cccc}Value\ of\ x&Taco\ Price\ (\$)&Average\ Number\ of\ Tacos\ Sold&Daily\ Revenue\ (\$)\\0&4&60&240\\1&5&53&265\\2&6&46&276\\3&7&39&273\\4&8&32&256\\5&9&25&225\\6&10&18&180\end{array}\right][/tex]
The optimal price is $6. At this price, the revenue is a maximum at $276.
What single transformation maps ∆ABC onto ∆A'B'C'? A. rotation 90° clockwise about the origin B. rotation 90° counterclockwise about the origin C. reflection across the x-axis D. reflection across the line y = x
Answer:
B. rotation 90° counterclockwise about the origin.
Step-by-step explanation:
Transformation is the process by which the size or orientation of a given figure is altered without any effect on its shape. Examples are; rotation, reflection, translation and dilation.
Rotation is the process of turning a figure about a reference point called the origin. While reflection is turning a figure about a line to produce its image.
In the given question, ∆ABC is mapped onto ∆A'B'C' by rotating it at 90° counterclockwise about the origin.
The correct option is (B). rotation 90°counterclockwise about the origin.
Given, ∆ABC and ∆A'B'C' are shown in attached figure.
We have to map ∆ABC onto ∆A'B'C',.
A transformation is a general term for four specific ways to manipulate the shape and or position of a point, a line, or geometric figure.
Transformation is also the process by which the size or orientation of a given figure is altered without any effect on its shape.
A rotation is a transformation in which the object is rotated about a fixed point.The direction of rotation can be clockwise or anticlockwise.
It is clear from the fig that the ∆ABC can be mapped over ∆A'B'C' by the rotation of 90°counterclockwise about the origin.
Hence the correct option is (B). rotation 90°counterclockwise about the origin.
For more details follow the link:
https://brainly.com/question/1571997
A package of 8-count AA batteries cost $6.16. A package of 20-count AA batteries cost $15.60. Which statement about the unit prices is true?
Answer:
The unit prices will be within the range of $0.77 ≤x≤$0.78
Step-by-step explanation:
If a package 8-count AA batteries cost $6.16 and a package of same 20-count AA batteries cost $15.60, to calculate the unit price, the following steps must be carried out:
8 counts AA batteries = $6.16
A unit price (i.e 1 count) = x
Cross multiplying
8 × x = 6.16 × 1
x = 6.16/8
x = $0.77 for a unit price
Similarly, if 20-count AA batteries cost $15.60, then:
20 counta = $15.60
1 count = x
Cross multiplying
20 × x = $15.60 × 1
x = $15.60/20
x = $0.78 for a unit price
From above calculation, of can be seen that the unit price is almost similar but with a difference of $0.01 ($0.78-$0.77) which is insignificant. Based on this, we can conclude that a unit price of the battery is between the range
$0.77 ≤x≤$0.78
Answer:
The 8-count pack of AA batteries has a lower unit price of 0.77
per battery.
Step-by-step explanation:
how to do this question plz
Answer:
adult = £7 and child = £2
Step-by-step explanation:
let a represent adult ticket and c child ticket, then
2a + 3c = 20 → (1)
a + 4c = 15 → (2)
Multiply (2) by - 2 and add to (1) to eliminate a
- 2a - 8c = - 30 → (3)
Add (1) and (3) term by term
- 5c = - 10 ( divide both sides by - 5 )
c = 2
Substitute c = 2 into either of the 2 equations and solve for a
Substituting into (1)
2a + 3(2) = 20
2a + 6 = 20 ( subtract 6 from both sides )
2a = 14 ( divide both sides by 2 )
a = 7
Cost of adult ticket is £7 and child ticket is £2
Purple paint requires an exact mixture of blue and red. The ratio of blue paint to red paint is 2:5. Marissa needs 35 cups of purple paint to paint a wall. How much of each color would be needed to make a total of 35 cups of perfect purple paint?
Answer:
achievements
Step-by-step explanation:
y = 5x + 2 3x = –y + 10 What is the solution to the system of equations
Answer:
x = 1 , y = 7
Step-by-step explanation:
Solve the following system:
{y = 5 x + 2 | (equation 1)
3 x = 10 - y | (equation 2)
Express the system in standard form:
{-(5 x) + y = 2 | (equation 1)
3 x + y = 10 | (equation 2)
Add 3/5 × (equation 1) to equation 2:
{-(5 x) + y = 2 | (equation 1)
0 x+(8 y)/5 = 56/5 | (equation 2)
Multiply equation 2 by 5/8:
{-(5 x) + y = 2 | (equation 1)
0 x+y = 7 | (equation 2)
Subtract equation 2 from equation 1:
{-(5 x)+0 y = -5 | (equation 1)
0 x+y = 7 | (equation 2)
Divide equation 1 by -5:
{x+0 y = 1 | (equation 1)
0 x+y = 7 | (equation 2)
Collect results:
Answer: {x = 1 , y = 7
Answer:
D) (1,7)
Step-by-step explanation:
just took the test
Pqrs is a rhombus. Find x, y and z. Justify your finding.
Answer:
x = 4, y = 2√21, z = 10
Step-by-step explanation:
Since all sides of a rhombus are congruent, z = SR = 10. Since the diagonals of a rhombus bisect each other, x = PO = 4. Using Pythagorean Theorem (look at ΔPSO, we know that PS = 10 and PO = 4), y = 2√21.
Lapid.
(ii) Find the remainder when f(x) is
divided by (x - 1)(x + 2).
14) The remainder when the expression
ax' + bx + 2x + c is divided by x-1
is twice of that when it is divided by
x + 1. Show that c = 3a - b + 6.
ii) When a polynomial f(x) is divided by (x-1) and (x+2) it leaves remainder 5 and 17 respectively. find the remainder when f(x) is divided by (x-1) (x+2)
14) The remainder when the expression ax³ + bx² + 2x + c is divided by x-1
is twice of that when it is divided by x + 1. Show that c = 3a - b + 6.
Answer:
ii) R(x) = -4x + 9
14) c = 3a - b + 6 ( Proved)
Step-by-step explanation:
14) The correct expression is [tex]ax^3 + bx^2 + 2x + c[/tex]
To get the remainder when the expression [tex]ax^3 + bx^2 + 2x + c[/tex] is divided by
x - 1, let x - 1 = 0; x = 1
Remainder:
[tex]R_1(x) = a(1)^3 + b(1)^2 + 2(1) + c\\R_1(x) = a + b + 2 + c[/tex]
When [tex]ax^3 + bx^2 + 2x + c[/tex] is divided by x + 1
Let x + 1 = 0; x = -1
Remainder:
[tex]R_2(x) = a(-1)^3 + b(-1)^2 + 2(-1) + c\\R_1(x) = -a + b - 2 + c[/tex]
According to the question, R₁(x) = 2R₂(x)
a + b + 2 + c = 2(-a + b - 2 + c)
a + 2a +b - 2b + 2 + 4 = 2c - c
c = 3a - b + 6 ( Proved)
ii)
The dividend is f(x)
(x - 1)(x + 2) is the divisor, i.e. D(x) = (x - 1)(x + 2)
Let the quotient = A(x)
Let the Remainder, R(x) = ax + b..............(1)
Therefore, f(x) = A(x)D(x) + R(x)
f(x) = A(x)(x - 1)(x + 2) + R(x)...................(2)
When f(x) is divided by x - 1, x = 1
Put x = 1 into equation (2) knowing that R(1) = 5
f(1) = R(1) = 5
R(1) = a(1) + b = 5
a + b = 5....................(3)
When f(x) is divided by x + 2, x = -2
Put x = -2 into equation (2) knowing that R(-2) = 17
f(-2) = R(-2) = 17
R(-2) = a(-2) + b = 17
-2a + b = 17..................(4)
Subtracting equation (1) from (2)
-3a = 12
a = -12/3
a = -4
Substitute the value of "a" into equation (4)
-2(-4) + b = 17
8 + b = 17
b = 9
Since R(x) = ax + b
R(x) = -4x + 9
please help i will give out brainliest
Answer:
6, 0, 10
b
Step-by-step explanation:
need help asap!!! WILL GIVE THE MOST BRAINIEST TO WHOEVER ANSWERS IT RIGHT PUT THE ANSWER IN A BOX
Answer:
36PI
113.04
Step-by-step explanation:
4/3*PI*R^3=V
4/3*PI*27=V
36*PI=V
113.04
BRAINLIEST PLS
-ZYLYNN JADE
Answer:
113.10 (to the nearest hundredth)
Step-by-step explanation:
just google volume of a sphere
Fred can mow a lawn in 60 minutes. rocky can mow the same lawn in 40 minutes. how long does it take for both fred and rocky to mow the lawn if they are working together? express your answer as a reduced fraction.
Answer:
24 minutes
Step-by-step explanation:
Fred can mow a lawn in 60 minutes.
Fred's Rate [tex]=\frac{1}{60}[/tex]
Rocky can mow the same lawn in 40 minutes.
Rocky's rate [tex]=\frac{1}{40}[/tex]
Let the time it will take both of them = x minutes
Therefore:
[tex]\frac{1}{60}+\frac{1}{40}=\frac{1}{x}\\$Multiply all through by 1200$\\1200\times \frac{1}{60}+1200\times\frac{1}{40}=1200\times\frac{1}{x}\\20+30=\frac{1200}{x}\\50=\frac{1200}{x}\\$Cross multiply\\50x=1200\\Divide both sides by 50\\x=24\\[/tex]
It would take the two of them 24 minutes to mow the lawn.
Jennifer had $80 to spend on herself. She spent 1/5 of the money on a sandwhich, 1/6 for a ticket to a museum, and 1/2 of it on a book. How much money does Jennifer have left over?
Answer:
$10.67
Step-by-step explanation:
Jennifer has a total amount of $80 to buy what she needs
1/5 of the money is spent on sandwich
= 1/5×80
= $16
The amount spent on sandwich is $16
1/6 of the money is spent on tickets to a museum
= 1/6×80
= 0.166×80
= $13.33
The amount spent on tickets is $13.33
1/2 of the money is spent on a book
= 1/2×80
= 0.5×80
= $40
The amount spent on a book is $40
Therefore, to calculate the amount left on her we add the total money spent and subtract it from the original amount of money that she has to spend
= $80-$16+$13.33+$40
= $80-$69.33
= $10.67
Hence the amount of money left on Jennifer is $10.67
HELP PLEASEEE ASAAAAPPPPPPPPPPPP I WILL GIVE BRAINLY TO THE FIRST ONE!!!!!!!!
Answer:
the total amount is £ 756.
hope it helps..
A school contains 357 boys and 323 girls.
If a student is chosen at random, what is the probability that is a girl?
Correct your answer to 2 decimal places.
Answer:
19/40
Step-by-step explanation:
just divide the number of girls by the total number of students.
323/680 = 19/40 or 0.48
The solution for the following system of linear equation 3m-2n=13 is (2,-1) true or false
Answer:
Not True
Step-by-step explanation:
>_<
[tex]\text{To find your answer, plug in the values to the equation and solve:}\\\\3(2)-2(-1)=13\\\\\text{Solve:}\\\\3(2)-2(-1)=13\\\\6+2=13\\\\8=13\\\\\text{8 does not equal 13, therefore making the equation FALSE}\\\\\boxed{\text{False}}[/tex]
Find the value of y.
PLEASE HELP - Find the area of a regular octagon with a side length of 5 cm. Round to the nearest tenth. (Please explain in full detail the process, im trying to learn how to do these) thank you!!
Answer:
120.7
Step-by-step explanation:
The formula for finding the area of a regular octagon is: A = 2(1+[tex]\sqrt{2}[/tex])[tex]a^{2}[/tex].
Using the formula I got 120.7(rounded).
The area of the regular octagon with a side length of 5 cm is approximately 120.7cm².
We have,
To find the area of a regular octagon with a side length of 5 cm, you can use the following formula:
Area = 2 * (1 + √2) * (Side Length)²
Plugging in the values:
Area = 2 * (1 + √2) * (5 cm)² ≈ 120.7 cm²
Therefore,
The area of the regular octagon with a side length of 5 cm is approximately 120.7cm².
Learn more about octagons here:
https://brainly.com/question/30182906
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Written Response! Please help!
Evelyn believes that if she flips a coin 480 times, it will land tails up exactly 240 times. What would you tell Evelyn about her prediction?
Based on Evelyn's response, it can be said that she predicts that there is a 50% chance of the coin landing on tails and a 50% chance of the coin landing on heads.
What is the probability?Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The probability that the coin lands on tails is half of the number of times the coin is tossed. This means she belives that there is an equal chance that the coin would land on either heads or tails.
To learn more about probability, please check: https://brainly.com/question/13234031
The price (p), in cents, of a sweet is directly proportional to the mass (m) of the
sweet.
When the sweet cost 55 cents, the mass is 220 g. Find
(a) the equation connecting p and m.
(b) the mass, in grams, of a sweet which cost 540 cents,
(c) the cost of a sweet in cents, with a mass of 115 g
What is the equation for a straight line that would allow you to predict the value of Y from a given value of X. That is, calculate the value of "a" and the value of "b" and then substitute the 2 values into the generic equation (Y = a + bX) for a straight line. (Hint: calculate "b" first)
Answer:
[tex]m=-\frac{13}{20.8}=-0.625[/tex]
Nowe we can find the means for x and y like this:
[tex]\bar x= \frac{\sum x_i}{n}=\frac{16}{5}=3.2[/tex]
[tex]\bar y= \frac{\sum y_i}{n}=\frac{35}{5}=7[/tex]
And we can find the intercept using this:
[tex]b=\bar y -m \bar x=7-(-0.625*3.2)=9[/tex]
So the line would be given by:
[tex]y=-0.625 x +9[/tex]
Step-by-step explanation:
We have the following data:
X: 3,3,2,1,7
Y:6,7,8,9,5
We want to find an equationinf the following form:
[tex] y= bX +a[/tex]
[tex]a=m=\frac{S_{xy}}{S_{xx}}[/tex]
Where:
[tex]S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}[/tex]
[tex]S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}[/tex]
So we can find the sums like this:
[tex]\sum_{i=1}^n x_i = 3+3+2+1+7=16[/tex]
[tex]\sum_{i=1}^n y_i =6+7+8+9+5=35[/tex]
[tex]\sum_{i=1}^n x^2_i =72[/tex]
[tex]\sum_{i=1}^n y^2_i =255[/tex]
[tex]\sum_{i=1}^n x_i y_i =99[/tex]
With these we can find the sums:
[tex]S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=72-\frac{16^2}{5}=20.8[/tex]
[tex]S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}=99-\frac{16*35}{5}=-13[/tex]
And the slope would be:
[tex]m=-\frac{13}{20.8}=-0.625[/tex]
Nowe we can find the means for x and y like this:
[tex]\bar x= \frac{\sum x_i}{n}=\frac{16}{5}=3.2[/tex]
[tex]\bar y= \frac{\sum y_i}{n}=\frac{35}{5}=7[/tex]
And we can find the intercept using this:
[tex]b=\bar y -m \bar x=7-(-0.625*3.2)=9[/tex]
So the line would be given by:
[tex]y=-0.625 x +9[/tex]
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. Penelope has $1,459.75 in her bank account. To pay her bills, she writes 4 checks in the amounts of $200.25, $359.45, $125, and $299.35. Then she deposits $375 into her account. Penelope’s account balance after she pays her bills and makes the deposit is $ .
Answer:
$850.7
Step-by-step explanation:
Penelope has $1459.75 in her account.
She pays different amount that are given above.
i.e.
=1459.75-200.25-359.45-125-299.35
=475.7
Then she deposit $375
Now,
=475.7+375
=850.7
So, She has $850.7 in her account after she pays her bills and makes deposits.
Answer:
$805.7 OwO
Step-by-step explanation:
Translate into an algebraic expression:40 increased by x%
Answer:
2/5x
Step-by-step explanation:
x% of 40= x/100×40
= 40/100x = 2/5x
a right square pyramid has a slant height of 20 feet, and the length of a side of the base is 32 feet. what is the height, h, of the pyramid?
Answer:
The pyramid's height h = 12 ft
Step-by-step explanation:
Notice that the slant height of the pyramid forms a right angle triangle with the segment that joins the bottom end of the slant height with the center of the pyramid's base, and with the pyramid height (h).
The segment joining the slant height with the center of the pyramid's base is one half of the side of the base in length, so that it; 16 feet.
then we have a right angle triangle with hypotenuse given by the pyramid's slant height (20 ft), a leg given by 16 ft, and we need to find the length of the second leg (pyramid's height (h).so we use the Pythagorean theorem:
[tex]hyp^2=leg_1^2+leg_2^2\\(20\,ft)^2= (16\,ft)^2+h^2\\h^2=400\,ft^2-256\,ft^2\\h^2=144\,ft^2\\h=12 \,ft[/tex]
Answer:
C.12ft
Step-by-step explanation:
for people on edmentum
Solve for x. Please help
Answer:
x = 37/45
Step-by-step explanation:
Here's how similar triangles work. We set up an equation as SIDE 1A/ SIDE 1B = SIDE 2A/ SIDE 2B
Ok, so these 2 triangles are similar, so we can set up a butterfly equation:
Side 1a would be 8x
Side 1b would be 5x +3
Side 2a would be 10x - 2
Side 2b would be 7x
----------------------------------------------------
Our equation would be
8x/(5x+3) = (10x-2)/7x
We cross multiply to get 8x(10x-2) = 7x(5x+3)
Instead of solving and getting squares, we can x on both sides and we get:
8(10x - 2) = 7(5x+3) ----> we simplify to get
80x - 16 = 35x + 21 ----> it's easy sailing from here.
45x = 37
x = 37/45
gosh i hope it's right...
in the function y+3=(1/3x)^2, what effect does the number 1/3 have on the graph, as compared to the graph of y=x^2
Answer:
I think the answer is it stretches the graph horizontally by a factor of 3.
Step-by-step explanation:
Answer: it stretches the graph horizontally by a factor of 3
Step-by-step explanation: I got it correct on a-pex
The width of a rectangle is 38 centimeters. The perimeter is at least 692 centimeters. Write an inequality that represents all possible values for the length of the rectangle. Then solve the inequality.
Answer:
See bolded / underlined / italicized below -
Step-by-step explanation:
This is a great question!
If x were the length of this rectangle, then we could conclude the following,
2( 38 ) + 2( x ) > 692,
As you can see there is a greater than sign present, as the perimeter is at least 692 centimeters. In this case the perimeter is given to be at least 692 centimeters, but can also be calculated through double the width and double the length together. And of course we are given the width to be 38 cm -
2( 38 ) + 2x > 692,
76 + 2x > 692,
2x > 616,
x > 308
Solution = Length should be at least 308 cm
( The attachment below is not drawn to scale )
Find the distance between a point (–7, –19) and a horizontal line at y = 3. Choices are in the attachment...
Explanation:
The distance we're after is the vertical distance from the point to the line. So we only care about the difference in y values from y = -19 to y = 3
You can count out the spaces or use subtraction along with absolute value
distance from P to Q = |P-Q|
distance from -19 to 3 = |-19-3|
distance from -19 to 3 = |-22|
distance from -19 to 3 = 22
The absolute value is to ensure the result is never negative.
Create a birthday Polynomial with 07.01.2006
Answer:
Step-by-step explanation:
the birthday date is : 07/01/2006 so the numbers are : 07012006 let's switch them : 60021070 we have 8 numbers so our highest degree is 7 6*(x∧7)+0*(x∧6)+0*(x∧5)+2*(x∧4)+1*(x³)+0*(x²)+7*x+0*(x∧0) 6*(x∧7)+2*(x∧4)+x³+7xHere is another example :