Answer:
Width = 16 cm
Length = 9 cm
Step-by-step explanation:
Width = x cm
Length = x - 7
Area = 144 cm²
x(x - 7) = 144
x² - 7x = 144
x² - 7x - 144 = 0
(x - 16)(x + 9) = 0
x = 16 or x = -9 (rejected)
Width = 16 cm
Length = 16 - 7 = 9 cm
The width is determined to be 16 cm, and the length is 9 cm.
The student is asking for the dimensions of a rectangle given an area of 144 square centimeters and a length that is 7 centimeters less than its width. To find the dimensions, we can let the width be represented by w and the length by w - 7 (since the length is 7 centimeters less than the width). The area of a rectangle is calculated by multiplying the length by the width, which in this equation would be w(w - 7). We can set this equal to the given area of 144 square centimeters and solve for w.
Setting up the equation: w(w - 7) = 144. This simplifies to w^2 - 7w - 144 = 0.
To solve for w, we need to factor the quadratic equation, which results in (w - 16)(w + 9) = 0. The width can be 16 cm because it must be a positive value. Subsequently, the length is 16 - 7 = 9 cm.
Therefore, the dimensions of the rectangle are 16 cm in width and 9 cm in length.
If 5 potatoes together have a mass of 1 kilometer and 8 pears together have a mass of 1,200 grams, which has the greater mass a potato or a pear? Explain.
____________________________________________________
Answer:
The Potato has a greater mass.
____________________________________________________
Step-by-step explanation:
In order to see which one of them has the greater mass, we're going to need to figure out how much one of them weigh.
Lets get the key information from the question:
5 potatoes = 1 kilograms (kg)
8 pears = 1,200 grams (g)
With the information above, we can solve the problem.
1 Kilogram = 1000 grams
With that information, we know that 5 potatoes would equal 1000 grams, now we would need to divide 1000 by 5 to get the grams for one potato in order to find the mass of it.
[tex]1000 \div 5=200[/tex]
1 Potato = 200 grams
Now, we would need to divide 1,200 by 8 to find the mass of 1 pear.
[tex]1200 \div 8=150[/tex]
1 Pear = 150 grams
With the information we have now, we would know that the Potato has the greater mass than the pear.
A potato has a greater mass.
____________________________________________________
WILL GIVE BRAINLIEST!! PLEASE HELP ASAP !!!
The ceiling of Katie’s living room is a square that is 12 ft long on each side. To decorate for a party, she plans to hang crepe paper around the perimeter of the ceiling and then from each corner to the opposite corner. Katie can buy rolls that each contain 10 ft of crepe paper. What is the minimum number of rolls she should buy? Show your work.
Answer:
The minimum number of rolls she should buy is 9 rolls
Step-by-step explanation:
* Lets study the information in the problem
- Katie wants to put the crepe paper around the perimeter of the
ceiling which shaped a square of side length 12 feet
- And also from each corner to the opposite corner
- She needs the length of the 4 sides of the square and the length
of its 2 diagonals
* Lets find the length of the diagonal of the square
∵ The two adjacent sides of the square formed two legs of a right
angle triangle and the diagonal joining the endpoints of the legs
is the hypotenuse of the triangle
- Use Pythagoras theorem to find the length of the diagonal
∴ The length of the diagonal = √(s² + s²) √(2s²) = s√2
∵ The length of the side of the square = 12 feet
∴ The length of the diagonal = 12√2
* Now lets find the length of the crepe papers she needs
∵ She needs the length of the 4 sides of the square and the length
of its 2 diagonals
∴ The length of crepe papers = 12 + 12 + 12 + 12 + 12√2 + 12√2 = 81.94 feet
∵ Each roll of the crepe papers contain 10 feet
- To find the number of rolls divide the length of the crepe papers by 10
∴ The number of rolls = 81.94 ÷ 10 = 8.194
* She must to buy 9 rolls to have enough crepe papers to decorate
her ceiling
* V.I.N:
- If she decide to buy 8 rolls, some part of ceiling will not decorate
because the 8 rolls have 80 feet only and she needs 81.94 feet
which set of ordered pairs ia a function
For something to be a function, an input (x value) can only have ONE output (y value)
For example:
(2 ,4)
(2, 5) This is not a function because the input has multiple outputs.
So your answer is the 1st option
Polygon abc is dilated, rotated and translated to form polygon a’b’c’d. The endpoint of ab at (0,-7) and (8,8), and the endpoint of ab are (6,-6) and (
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
What’s the answer
to maintain her income susan must work 50 hours each week susan works 7 hrs on monday tuesday and wednesday and 8 hrs on thursday if the variable t stands for the number of hrs over the rest of the week susan will have to work to meet her goal her goal which of the following choices is the most reasonable value for t A. 20hrs B. 8hrs C. 50hrs D. 35hrs
The answer is D, 35 hours. 8+5=15. And then 35 + 15 is 50!
5.7e+ 11.8= 1.3e + 29.4 solve as equations
Answer:
e=4
Step-by-step explanation:
5.7e + 11.8 = 1.3e + 29.4
-1.3e -1.3e
4.4e + 11.8 = 29.4
-11.8 -11.8
4.4e/4.4 = 17.6/4.4
e = 0.25
Or
e = 4
Jordan has 5.48 mL of liquid in one test tube and 9.63 mL in another. Luke's test tube has 17.24 mL of liquid.
Round each number to the nearest tenth.
How much more liquid is in Luke's test tube than the liquid in Jordan's two test tubes combined?
A.about 2.1 mL
B.about 3.1 mL
C.about 2.2 mL
D.about 2.0 mL
5.48 to the nearest tenth is 5.5
9.63 is closest to 9.6
17.24 is closest to 17.2
So, 5.5+9.6= 15.1
17.2-15.1=2.1
A. about 2.1 mL
Answer:
a. about 2.1 :)
Step-by-step explanation:
Which of the following are solutions to the inequality n>-7
Answer:
What following? There are no options
The measure of the angles of triangle ABC are given by the expressions in the table.
A) 48°
B) (6x-28)°
C) (2x)° find the value of x. then find the measures of angles B and C.
enter your answers in the boxes.
x=__
m>B=__°
m>C=__°
Answer:
x = 20
B = 92
C = 40
Step-by-step explanation:
The three angles of a triangle add to 180 degrees
A+B+C = 180
48+6x-28+2x = 180
Combine like terms
20+8x =180
Subtract 20 from each side
20+8x-20 = 180-20
8x = 160
Divide each side by 8
8x/8 = 160/8
x = 20
Then we need to find angle B
B = 6x-28 = 6(20)-28 = 120-28 =92
Then we need to find angle C
C = 2x = 2(20) = 40
Answer:
x=20
m>B=92
m>C=40
Step-by-step explanation:
the angles in a triangle add up to 180
48+6x-28+2x=180
6x+2x-28=132
6x+2x=160
8x=160
x=20
6(20)-28
120-28=92
2(20)=40
what is 0.00025 in scientific notation
Answer:
It would be written as: 2.5 x 10^-4.
explanation:
This is because you must have one number in front of the decimal point in scientific notation and to do that you must move it back four spaces. I hope that helps!
Answer:
= 2.5 × 10-4
Step-by-step explanation:
That's all there is to know right???
Find the midpoint of the segment from point a (6,3) to point B (8,1)
Answer: [tex]M=(7,2)[/tex]
Step-by-step explanation:
You need to use the following formula:
[tex]M=(\frac{x_A+x_B}{2},\frac{y_A+y_B}{2})[/tex]
Given the points A(6,3) and B(8,1), you can identify that:
[tex]x_A=6\\x_B=8\\y_A=3\\y_B=1[/tex]
Now, you can substitute these values into the formula [tex]M=(\frac{x_A+x_B}{2},\frac{y_A+y_B}{2})[/tex].
Therefore, you get this result:
[tex]M=(\frac{6+8}{2},\frac{3+1}{2})[/tex]
[tex]M=(7,2)[/tex]
ANSWER
The midpoint is (7,2)
EXPLANATION
The midpoint is calculated using the formula:
[tex]M(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
The x-coordinate of the midpoint is given by
[tex]x = \frac{6 + 8}{2} [/tex]
[tex]x = \frac{14}{2} = 7[/tex]
The y-coordinate of the midpoint is given by:
[tex]y = \frac{3 + 1}{2} [/tex]
[tex]y = \frac{4}{2} = 2[/tex]
The midpoint is (7,2)
A cleaning crew can clean 5 offices in 6 hours. How many offices can they clran in 12 hours
5 in 6
10 in 12
in 12 hrs they can clean 10 offices.
Answer:
5 in 6
10 in 12
in 12 hrs they can clean 10 offices.
pls make this the brainliest
hope this helps
What is the value of the determinant?
|1 7|
|0 -3|
Answer:
-3
Step-by-step explanation:
Answer:
- 3
Step-by-step explanation:
Given the 2 x 2 matrix [tex]\left[\begin{array}{ccc}ab\\cd\\\end{array}\right][/tex]
Then the determinant = ad - bc
Hence for [tex]\left[\begin{array}{ccc}1&7\\0&-3\\\end{array}\right][/tex]
determinant = (1 × - 3) - (7 × 0) = - 3 - 0 = - 3
Match The Graph With The Correct Equation.
Answer:
y=-x-2
Step-by-step explanation:
Hello
according to the graph you can take two points of the line, let p1 and p2
p1(-2,0) , p2(0,-2)
with those points we can find the slope
[tex]m=\frac{y2-y1}{x2-x1} \\\\m=\frac{-2-0}{0-(-2)} \\m=\frac{-2}{2} \\m=-1[/tex]
now we use the slope point -equation, with p1(-2,0)
[tex]y-y_{0} =m (x-x_{0})\\[/tex]
[tex]y-0=-1(x-(-2))\\y=-x-2[/tex]
the function of the graph is y =-x-2
Have a great day.
I need to explain and answer questions #3 #4 and #5 i will give brainliest!
Send a picture so I can get the problem
If the scale factor of a dilation is less than one and greater than zero, what happens to the resulting image?
A. The resulting image will be a translation of the original image.
B. The resulting image will be a rotation of the original image.
C. The resulting image will be a reduction of the original image.
D. The resulting image will be an enlargement of the original image.
Dilation means every coordinate of the given original image will be multiplied by the given scale factor.
If the scale factor of a dilation is less than one and greater than zero.
The resulting image will be an enlargement of the original image.
What is a scale factor?A scale factor is defined as the ratio between the scale of a given new object and an original object,
We have,
The scale factor of a dilation is less than one and greater than zero,
This means,
The scale factor = x
0 < x < 1
We can have,
x = 0.5, 0.6, 0.7
Dilation means every coordinate of the given original image will be multiplied by the given scale factor.
This means,
The image will be an enlargement of the original image.
Thus,
If the scale factor of a dilation is less than one and greater than zero.
The resulting image will be an enlargement of the original image.
Learn more about scale factors here:
https://brainly.com/question/20759556
#SPJ6
One kilogram of cheese costs £6.70How much would 400g cost?
Answer:
2680
Step-by-step explanation:
i just did 6.70 times 400g
Answer:
400 grams (or 0.4 kg) of this cheese would cost £2.68.
Step-by-step explanation:
Let's write and solve an equation of ratios:
0.4 kg x
------------- = -------------
1.0 kg £6.70
Cross multiplying to solve for x, we get:
0.4(6.70) = x, or
x = £2.68
400 grams (or 0.4 kg) of this cheese would cost £2.68.
Suppose you buy a CD for $11.95. There is a 20% discount, and you pay a 7% sales tax after the discount. Find the cost of the CD.
You can use proportions to find the answer.
20/100=?/11.95
20*11.95=239
239/100=2.39
So the discount takes $2.39 off of the original price.
11.95-2.39=9.56
7/100=?/9.56
7*9.56=66.92
66.93/100=0.6692
Round to nearest tenth: 0.67
9.56+0.67=10.23
The final cost of the CD is $10.23
10.35 good luck man
What is the perimeter of square ABCD?
Answer:
do you have a picture to help me answer the problem?
Step-by-step explanation:
Answer:
B On Egen, 4 root 37
Step-by-step explanation:
the diagonal of a rectagle is 25 in the width is 15 what is the length
Answer:
20 in
Step-by-step explanation:
Remark
This is a Pythagorean Theorem question.
Givens
a = 15 in
b = ??
c = 25 in
Formula
a^2 + b^2 = c^2
Solution
15^2 + b^2 = 25^2
225 + b^2 = 625 Subtract 225 from both sides
225-225+b^2 = 625-225 Combine
b^2 = 400 Take the square root of both sides
sqrt(b^2) = sqrt(400)
b = 20
The length is 20 in
In a class of 25 students, 15 of them have a cat , 16 of them have a dog and 3 of them have neither. Find the probability that a student chosen at random has a cat and a dog. Find the probability that a student chosen at random has a cat and a dog
ANSWER
[tex] \frac{9}{25} [/tex]
EXPLANATION
The given information is represented on the Venn diagram above, where x represents students who have both cat and dog.
The sum of all the regions should give us 25.
[tex](15 - x) + x + (16 - x) + 3 = 25[/tex]
Group similar terms to obtain;
[tex] - x + x - x = 25 - 15 - 16 - 3[/tex]
Simplify
[tex] - x = - 9[/tex]
[tex]x = 9[/tex]
The probability that a student chosen at random has a cat and a dog is
[tex] = \frac{9}{25} [/tex]
The probability that a student chosen at random has a cat and a dog is; P(cat and dog) = 9/25.
According to the question, the total number of students is; 25.
15 of them have a cat16 of them have a dogwhile, 3 of them have neitherThe information above are drawn in a Venn diagram in the attached image.
where, x = number if students who own a cat and a dog.Consequently, the total number of students who own a cat, a dog, both or neither is as follows;
15-x + x + 16-x + 3 = 25.-x = 25 - 34In essence, x = 9
Therefore, the number of students who own a cat and a dog is 9.The probability that a student chosen at random has a cat and a dog is therefore;
P(cat and dog) = 9/25.Read more;
https://brainly.com/question/1980403
The radius of circle L is 16 cm.
What is the length of its diameter?
A. 8 cm
B. 16 cm
C. 32 cm
D. 64 cm
Answer:
Diameter = 2*Radius
So, 2*16cm = 32cm
The answer is 32. I hope this helps!
The prism below is made of cubes which measure 1/2 of an inch on one side. What is the volume?
a. 11/2 cubic in
b. 40 cubic in.
c. 5 cubic in.
d. 20 cubic in
Answer:
the answer is C. 5 cubic in
Step-by-step explanation:
V = LWH
length is 2 (1/2 in)
width is 5 (1/2 in)
height is 4 (1/2 in)
V = (2/2) (5/2) (2)
V = 1 * 5/2 * 2
V = 5 cubic in
The volume of the rectangular prism will be 5 cubic inches. Then the correct option is C.
What is the volume of the rectangular prism?Let the prism with a length of L, a width of W, and a height of H. Then the volume of the prism is given as
V = L x W x H
The prism below is made of cubes that measure 1/2 of an inch on one side.
The dimension will be
L = 2 x 1/2 = 1 inch
W = 5 x 1/2 = 2.5 inches
H = 4 x 1/2 = 2 inches
Then the volume of the rectangular prism will be
V = 1 x 2.5 x 2
V = 5 cubic inches
Then the correct option is C.
More about the volume of the prism link is given below.
https://brainly.com/question/16246207
#SPJ2
What is sin 74° someone please help!!!!
Answer:
24/25
Step-by-step explanation:
because of sinФ you use the opposite/hypotenuse to get 24/25
The value of sin 74° in the given question is 24 / 25.
What is the sine angle?The sine of an angle in a right angled triangle is the ratio of side opposite to the angle and the hypotenuse of the triangle.
In the given question:
Side opposite to 74° angle = 24
Hypotenuse of the triangle = 25
sin(74) = Perpendicular / Hypotenuse
sin(74) = 24 / 25
Hence, the value of sin74 is 24/25.
Learn more about trigonometry on:
https://brainly.com/question/24349828
#SPJ2
Savannah had 400 chocolate chips. She saved x chips for a garnish, and mixed the rest of the chocolate chips evenly into 3 pans of brownies.
How many chocolate chips were in each pan of brownies?
Write your answer as an expression.
Answer:
Each pan of brownies had [tex]\frac{400-x}{3} = \frac{400}{3}-\frac{x}{3}[/tex] chips
Explanation:
Savannah originally had 400 chocolate chips
Now, she saved x chocolate chips for garnish
This means that the amount she originally had decreased by x
Savannah now has 400-x chocolate chips to use for brownies
She divided this amount evenly into three pans. This means that the amount in each pan will be equal to the amount she has now divided by 3
This means that:
Each pan got [tex]\frac{400-x}{3} = \frac{400}{3}-\frac{x}{3}[/tex] chips
Hope this helps :)
Which best describes how empirical probability is determined?
Which best describes how empirical probability is determined?
A. By deciding which events are unpredictable
B. By personal experimentation and testing
C. By deciding which events are random
D. By considering all possible outcomes
Answer: B. By personal experimentation and testing
The complete question is as follows:-
Which best describes how empirical probability is determined?
A. By deciding which events are unpredictable
B. By personal experimentation and testing
C. By deciding which events are random
D. By considering all possible outcomes
The correct answer is option B which is By personal experimentation and testing.
What is empirical probability?The ratio of the number of outcomes in which a defined event occurs to the total number of trials, not in a theoretical sample space but in a real experiment, is the empirical probability, relative frequency, or experimental probability of an event.
From the given option the best statement which determines the experimental probability is to determine the probability by personal experimentation and testing.
Therefore the correct answer is option B which is By personal experimentation and testing.
To know more about empirical probability follow
https://brainly.com/question/16972278
#SPJ2
23.791 to nearest hundredth
Answer:
23.79
Step-by-step explanation:
since 1 is less than 4 it turns into zero
what is 3/4 x 1/2=?
Answer:
3/8Step-by-step explanation:
[tex]\dfrac{3}{4}\times\dfrac{1}{2}=\dfrac{3\times1}{4\times2}=\dfrac{3}{8}[/tex]
Is the answer Quadratic.
Answer:
It is a quadratic equation because the equation is a quadratic polynomial set equal to zero. The polynomial is quadratic because the term with highest degree, the x^2 term, has degree 2.
please help!!!!!!!!!!!!!
the square root of 121, because when rationalized its 11.
square root 121
150 square root is 12.247....
98 square root is 9.899....
164 square root is 12.806....
when 121 is square root it’s 11 so square root 121 is the answer