Answer:
C. 9
Step-by-step explanation:
Matrix is an arranged array of rows and columns. The number of rows are represented by m and number of columns by n. Hence the elements of matrix is denoted by small letter with it's row number and column number in subscript.
Like elements belonging to A matrix will be written as:
[tex]a_{mn}[/tex]
In the given matrix, we have to tell the element b_23 which means we have to point out the element in row 2 and column 3.
Looking at the matric we can see that the number at the position of 2nd row and third column is 9.
Hence Option C is the correct answer ..
The figure is made up of a cylinder, a cone, and a half sphere. The radius of the half sphere is 3 inches. What is the volume of the composite figure?
Looks like your figure is missing...
Could you repost it with the figure next time?
Someone will solve it for sure.
Regards;
Leukonov.
Help asp worth 20 point for the exact answers
Answer:
Step-by-step explanation:
167.31 is 33% of 507
180 is 48% of 375
216.6 is 76% of 285
238.8 is 60% of 398
133.5 is 89% of 150
111.8 is 26% of 430
174.96 is 81% of 216
29.2 is 5% of 584
130.5 is 18% of 725
2.3 is 2% of 115
136.8 is 90% of 152
77.88 is 12% of 649
118.8 is 55% of 216
46.44 is 43% of 108
227.95 is 97% of 235
33% of 507 = 167.31
48% of 375 = 180
76% of 285 = 216.6
60% of 398 = 238.8
89% of 150 = 133.5
26% of 430 = 111.8
81% of 216 = 174.96
5% of 584 = 29.2
18% of 725 = 130.5
2% of 115 = 2.3
90% of 152 = 136.8
12% of 649 = 77.88
55% of 216 = 118.8
43% of 108 = 46.44
97% of 235 = 227.95
What is the simplified form of x plus 4 over x squared minus 3x minus 10⋅x minus 3 over x squared plus x minus 12? (6 points)
1 over the quantity x minus 3 times the quantity x plus 4
1 over the quantity x minus 3 times the quantity x plus 2
1 over the quantity x plus 4 times the quantity x minus 5
1 over the quantity x plus 2 times the quantity x minus 5
Answer:
The simplified form is 1 over the quantity x plus 2 times the quantity
x minus 5 ⇒ 1/(x+2)(x-5) ⇒ last answer
Step-by-step explanation:
* Lets write the product of the two fraction
∵ [tex]\frac{x+4}{x^{2}-3x-10} *\frac{x-3}{x^{2}+x-12}[/tex]
- At first factorize the denominators
# x² - 3x - 10
∵ x² = x × x ⇒ 1st term in the 1st bracket and 1st term in the
2nd bracket
∵ -10 = 2 × -5 ⇒ 2nd term in the 1st bracket and 2nd term in the
2nd bracket
∵ x × - 5 = -5x ⇒ ext-reams
∵ x × 2 = 2x ⇒ means
∵ 2x + -5x = -3x ⇒ middle term
∴ x² - 3x - 10 = (x + 2)(x - 5)
# x² + x - 12
∵ x² = x × x ⇒ 1st term in the 1st bracket and 1st term in the
2nd bracket
∵ -12 = -3 × 4 ⇒ 2nd term in the 1st bracket and 2nd term in the
2nd bracket
∵ x × 4 = 4x ⇒ ext-reams
∵ x × -3 = -3x ⇒ means
∵ 4x + -3x = x ⇒ middle term
∴ x² + x - 12 = (x - 3)(x + 4)
* Lets write the fractions after factorization
∴ [tex]\frac{x+4}{(x+2)(x-5)}*\frac{x-3}{(x-3)(x+4)}[/tex]
- lets simplify the fractions by cancel (x - 3) up with (x - 3) down
and cancel(x + 4) up with (x + 4) down
∴ [tex]\frac{1}{(x+2)(x-5)}*1=\frac{1}{(x+2)(x-5)}[/tex]
* The simplified form is 1 over the quantity x plus 2 times the
quantity x minus 5
4x+2y=-6, 5y=-30x+5
Answer:
(x,y)=(85/562, -20/281)
Step-by-step explanation:
4x+2y=-6.5y=-30x+5
{4x+2y=-30x+5
{-6.5y=-30x+5 simplify the expression
{34x+2y=5
{300x-65y=50 multiply
{2210x+130y=325
{600x-1307=100 eliminate on evariable by adding the equations
2810x=425 divide both sides by 2810
x=85/562 substitute the value of x into the equation
34*85/562+2y=5 solve the equation
y=-20/281 a possible solution
(x,y)=(85/562,-20/281) check the solution
4*85/562+2*(-20/281)=-6.5*(-20/281)=-30*85/562+5 simplify the expression
130/281=130/281=130/281 the orderred pair is a solution
Which pair of undefined terms is used to define the term parallel lines?
point and line
plane and line
point and ray
ray and line
Mark this and
Answer:
B. Plane and Line
Step-by-step explanation:
Solve for the variable in the equations below. Round your answers to the nearest hundredth. Do not round any intermediate computations.
Answer:
Part 1) [tex]x=-0.07[/tex]
Part 2) [tex]y=2.48[/tex]
Step-by-step explanation:
Part 1) we have
[tex]15^{-9x} =6[/tex]
Solve for x
Apply log both sides
[tex]log(15^{-9x})=log(6)[/tex]
[tex]-x*(9log(15))=log(6)[/tex]
[tex]x=-log(6)/(9log(15))[/tex]
[tex]x=-0.07[/tex]
Part 2) we have
[tex]e^{y}=12[/tex]
Apply ln both sides
[tex]ln(e^{y})=ln(12)[/tex]
[tex]y*ln(e)=ln(12)[/tex]
Remember that
[tex]ln(e)=1[/tex]
[tex]y=ln(12)[/tex]
[tex]y=2.48[/tex]
Answer with explanation:
The two equations which we have to solve for x and y and the way of finding it's solution is
[tex]1.\rightarrow 15^{-9x}=6\\\\\text{Taking log on both sides}\\\\\rightarrow -9x \log 15=\log 6\\\\\rightarrow x \log 15^{-9}=\log 6\\\\\rightarrow x=\frac{\log 6}{\log 15^{-9}}}\\\\\rightarrow x=\log_{15^{-9}} 6\\\\2.\rightarrow e^y=12\\\\\text{Taking log on both sides}\\\\\rightarrow y \log e=\log 12\\\\\rightarrow y= \log 12[/tex]
shen is fertilizing his garden. the garden is in the shape of a rectangle. its length is 12 feet and its width is 10 feet. suppose each bag of fertilizer cover 30 square feet. how many bags will he need to cover the garden?
12x10=120 now 120x30=3,600 so your answer is 3600
The area of Shen's rectangular garden is 120 square feet. Given that a bag of fertilizer covers 30 square feet, Shen will need 4 bags of fertilizer to cover his garden.
Explanation:This question relates to the area of a rectangle and unit conversion. The area of a rectangle can be calculated by multiplying its length and its width. In this case, the garden is a rectangle with a length of 12 feet and a width of 10 feet. By multiplying these two dimensions, we get an area of 120 square feet.
A single bag of fertilizer covers 30 square feet. To calculate the number of bags required to cover the garden, we can divide the total area of the garden (120 square feet) by the area that one bag of fertilizer can cover (30 square feet).
So, 120 ÷ 30 = 4. Therefore, Shen will need 4 bags of fertilizer to cover his garden.
Learn more about Area Calculation here:https://brainly.com/question/34380164
#SPJ3
Suppose θ is an angle in the standard position whose terminal side is in Quadrant IV and . Find the exact values of the five remaining trigonometric functions of θ.
If [tex]\theta[/tex] falls in quadrant IV, then we know [tex]\sin\theta<0[/tex] and [tex]\cos\theta>0[/tex]. By definition of cosecant,
[tex]\csc\theta=\dfrac1{\sin\theta}[/tex]
so we also know that [tex]\csc\theta<0[/tex]. Recall that
[tex]\cot^2\theta+1=\csc^2\theta[/tex]
which means
[tex]\csc\theta=-\sqrt{\cot^2\theta+1}=-\dfrac{\sqrt{10}}3[/tex]
[tex]\implies\sin\theta=-\dfrac3{\sqrt{10}}[/tex]
By definition of cotangent,
[tex]\cot\theta=\dfrac{\cos\theta}{\sin\theta}\implies\cos\theta=\dfrac1{\sqrt{10}}[/tex]
[tex]\implies\sec\theta=\sqrt{10}[/tex]
We also immediately know that
[tex]\tan\theta=-\dfrac{21}7[/tex]
The listed answers are unsimplified relative to the ones we've come up with here, but with some manipulation we find
[tex]\sin\theta=-\dfrac3{\sqrt{10}}=-\dfrac{7\cdot3}{7\sqrt{10}}=-\dfrac{21}{\sqrt{490}}[/tex]
[tex]\cos\theta=\dfrac1{\sqrt{10}}=\dfrac7{7\sqrt{10}}=\dfrac7{\sqrt{490}}[/tex]
[tex]\csc\theta=\dfrac1{\sin\theta}=-\dfrac{\sqrt{490}}{21}[/tex]
[tex]\sec\theta=\dfrac1{\cos\theta}=\dfrac{\sqrt{490}}7[/tex]
[tex]\tan\theta=\dfrac1{\cot\theta}=-\dfrac{21}7[/tex]
so that the third option is correct.
at a party there are 12 diet sodas and 8 regular sodas. there are also 14 snack bagsof cheetos and 6 snack bags of pretzels. if you grab a soda and a snack bag without looking, what is the probability that you will get a diet soda and a snack bag of cheetos?
The probability of grabbing a diet soda and a snack bag of Cheetos is 42%.
The question is asking to find the probability of selecting a diet soda and a bag of Cheetos at a party. To calculate this probability, we need to look at the total number of each item and determine how many favorable outcomes there are based on the selections made.
Calculate the total number of sodas: 12 diet sodas + 8 regular sodas = 20 sodas.Calculate the probability of selecting a diet soda: P(diet soda) = 12 diet sodas / 20 total sodas = 0.6 or 60%.Calculate the total number of snack bags: 14 bags of Cheetos + 6 bags of pretzels = 20 snack bags.Calculate the probability of selecting a bag of Cheetos: P(Cheetos) = 14 bags of Cheetos / 20 total snack bags = 0.7 or 70%.Finally, calculate the probability of both events happening together, which is the product of the individual probabilities: P(diet soda and Cheetos) = P(diet soda)How many terms does the polynomial have? a 2 + b - cd 3 2 3 4
ANSWER
3
EXPLANATION
The given polynomial is
[tex] {a}^{2} + b - cd[/tex]
The terms of the polynomial are:
First term:
[tex] {a}^{2} [/tex]
Second term:
[tex]b[/tex]
Third term:
[tex] - cd[/tex]
Therefore the given polynomial has 3 terms.
The slope of the line passing through the points (2,7) and (-4, 8) is
-6
-1/2
-1/6
Answer:
I think is 1/6 the answer
Formula for slope is:
[tex]\frac{y_{2} -y_{1}}{x_{2}-x_{1}}[/tex]
In this case...
[tex]y_{2} =8\\y_{1} =7\\x_{2} =-4\\x_{1} =2[/tex]
so...
[tex]\frac{8-7}{-4-2}[/tex]
[tex]\frac{1}{-6}[/tex]
[tex]\frac{-1}{6}[/tex] <---------------------------the slope of the line
Hope this helped!
~Just a girl in love with Shawn Mendes
In the diagram a || b, if m∠6 = 21°, what is m∠4?
A) 21°
B) 10.5°
C) 159°
D) 339°
Answer:D
Step-by-step explanation:
In corresponding angles formed by parallel lines intersected by a transversal line, the angles are equal. So, if the measure of angle 6 is 21°, the measure of corresponding angle 4 will also be 21°.
Explanation:The subject of this question is geometry, specifically dealing with parallel lines and the angles formed when a line intersects them. In the given diagram, we are told that lines a and b are parallel (represented as a || b). Therefore, we can use the properties of parallel lines to find the measure of angle 4. When a line intersects two parallel lines, it forms corresponding angles which are equal. Since we know the measure of angle 6, which is 21°, and angle 4 and 6 are corresponding angles, therefore the measure of angle 4 is also 21°. So, the answer is A) 21°.
Learn more about Corresponding Angles here:https://brainly.com/question/12521848
#SPJ2
Which equation it equivalent to 3r=78+14
Answer:
A. [tex]3r-14=78[/tex]
Step-by-step explanation:
We are given the equation
[tex]3r=78+14[/tex]
If we subtract 14 from each side we get
[tex]3r=78+14\\\\3r-14=78[/tex]
This is what is shown in answer A
The equation equivalent to 3r = 78 + 14 is Option(A) 3r - 14 = 78 .
What equation is equivalent to the given expression ?The given equation is 3r = 78 + 14 .
Thus, rearranging the given equation, we have
3r - 14 = 78 .
which gives us Option(A).
Therefore, the equation equivalent to 3r = 78 + 14 is Option(A) 3r - 14 = 78 .
To learn more about simplification of equation, refer -
https://brainly.com/question/4411741
#SPJ2
Find the solutions(s) to 9x^2-54x=0
Answer:
Two solutions were found :
x = 6
x = 0
Step-by-step explanation:
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "x2" was replaced by "x^2".
Step by step solution :
Step 1 :
Equation at the end of step 1 :
32x2 - 54x = 0
Step 2 :
Step 3 :
Pulling out like terms :
3.1 Pull out like factors :
9x2 - 54x = 9x • (x - 6)
Equation at the end of step 3 :
9x • (x - 6) = 0
Step 4 :
Theory - Roots of a product :
4.1 A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.
Solving a Single Variable Equation :
4.2 Solve : 9x = 0
Divide both sides of the equation by 9:
x = 0
Solving a Single Variable Equation :
4.3 Solve : x-6 = 0
Add 6 to both sides of the equation :
x = 6
Answer:
x = 6...... x = 0
Step-by-step explanation:
a p e x.
Step-by-step explanation:
how many ounces are equal to 7pounds
7 Pounds Equals 112.0000oz.
Have A Great Day!
Which expressions are equivalent to the polynomial -12x^2-19x-5
[tex]\bf (2x^2-11x-9)-(14x^2+8x-4)\implies (2x^2-11x-9)-14x^2-8x-4 \\\\\\ 2x^2-14x^2-11x-8x-9-4\implies -12x^2-19x-5~~\checkmark \\\\[-0.35em] ~\dotfill\\\\ 2(x-1)-3(4x^2+7x+1)\implies 2x-2-12x^2-21x-3 \\\\\\ -12x^2+2x-21x-2-3\implies -12x^2-19x-5~~\checkmark \\\\[-0.35em] ~\dotfill\\\\ 3(x-5)-2(6x^2+9x+5)\implies 3x-15-12x^2-18x-10 \\\\\\ -12x^2+3x-18x-15-10\implies -12x^2-15x-25~~\bigotimes \\\\[-0.35em] ~\dotfill\\\\ (4x^2-13x-7)-(16x^2+9x-5)\implies 4x^2-13x-7-16x^2-9x+5[/tex]
[tex]\bf 4x^2-16x^2-13x-9x-7+5\implies -12x^2-22x-2~~\bigotimes \\\\[-0.35em] ~\dotfill\\\\ (-16x^2+10x-3)+(4x^2-29x-2)\implies -16x^2+10x-3+4x^2-29x-2 \\\\\\ -16x^2+4x^2+10x-29x-3-2\implies -12x^2-19x-5~~\checkmark \\\\[-0.35em] ~\dotfill\\\\ (-15x^2+9x-10)+(3x^2-10x-5)\implies -15x^2+9x-10+3x^2-10x-5 \\\\\\ -15x^2+3x^2+9x-10x-10-5\implies -12x^2-x-15~~\bigotimes[/tex]
A bicycle tire has a diameter of 62 cm
What is the distance the bicycle tire travels in 10 revolutions?
Round your answer to the nearest cm
Answer:
1947
Step-by-step explanation:
This is the answer
Can someone just explain pre-image and image to me?
Answer: in doing transformations, the pre-image is the image you start with. The task is to move the pre-image so that it is contiguous with the (target) image. This is typically done by translation, rotation or reflection or a combination of those moves.
Hope that helps
Step-by-step explanation:
Image is a related term of preimage. Preimage is a derived term of image.
In context terms the difference between preimage and image is that preimage is the set containing exactly every member of the domain of a function such that the member is mapped by the function onto an element of a given subset of the codomain of the function formally, of a subset b'' of the codomain ''y'' under a function ƒ, the subset of the domain ''x defined by while image is the subset of a codomain comprising those elements that are images of something.
As nouns the difference between preimage and image is that preimage is the set containing exactly every member of the domain of a function such that the member is mapped by the function onto an element of a given subset of the codomain of the function formally, of a subset b'' of the codomain ''y'' under a function ƒ, the subset of the domain ''x defined by while image is an optical or other representation of a real object; a graphic; a picture.
Use the functions a(x) = 3x + 10 and b(x) = 5x − 6 to complete the function operations listed below.
Part A: Find (a + b). Show your work.
Part B: Find (a - b). Show your work.
Part C: Find (a * b). Show your work.
Answer:
(a + b) = 8x +4
(a - b) = -2x +16
(a * b) = [tex]15x^{2}+32x-60[/tex]
Step-by-step explanation:
We have been given the functions;
a(x) = 3x + 10 and b(x) = 5x − 6
Part A:
(a + b) = a(x) + b(x) # we simply add the two given functions
(a + b) = 3x + 10 + 5x − 6
(a + b) = 8x + 4
Part B:
(a - b) = a(x) - b(x) # we simply subtract the two given functions
(a - b) = (3x + 10 ) - (5x − 6)
(a - b) = 3x + 10 -5x +6
(a - b) = -2x + 16
Part C:
(a * b) = a(x)*b(x)
# we simply find the product of the two given functions
(a * b) = (3x + 10)*(5x − 6)
(a * b) = [tex]15x^{2}-18x+50x-60=15x^{2}+32x-60[/tex]
Part A
The functions a(x) = 3x + 10 and b(x) = 5x − 6 to complete the function operations listed below.
(a+b)(x)=a(x)+b(x)
(a+b)(x)=(3x+10)+(5x-6)
(a+b)(x)=3x+5x+10-6
(a+b)(x)=8x+4
Part B.
(a-b)(x)=a(x)-b(x)
(a-b)(x)=(3x+10)-(5x-6)
Expand the parenthesis to get:
(a-b)(x)=3x+10-5x+6
(a-b)(x)=3x-5x+10+6
(a-b)(x)=-2x+16
Part C
(a*b)(x)=a(x)*b(x)
(a*b)(x)=(3x+10)*(5x-6)
We expand to get:
[tex]a \times b = 15 {x}^{2} - 18x + 50x - 60[/tex]
[tex]a \times b = 15 {x}^{2} + 32x - 60[/tex]
In the following diagram, a circle is inscribed in a square. How can you find the area of the shaded region?
Notice that the shaded region of the figure is composed of four identical pieces. However, each piece has a curved side, which makes it very difficult to find its area using a direct method. In this type of diagram, the easiest way to find the area uses an indirect method. Look at the diagram using a different perspective. The shaded region is composed of four identical pieces. OR, the shaded region is the area of the square minus the area of the circle. Since you know how to find the area of both a square and a circle, this is a much easier method for solving!
Area of square: s2 = (6 cm)2 = 36 cm2
Area of circle: r2 ≈ (3.14)(3 cm)2 ≈(3.14)(9 cm2) ≈ 28.26 cm2
Area of shaded region: 36 cm2 - 28.26 cm2 = 7.74 cm2
The area of the shaded region is approximately 7.74 square centimeters.
Answer the questions based on the following diagram. Note: The two triangles meet at the center of the circle.
What is the approximate area of the circle? Use 3.14 in your calculation.
What is the area of one of the triangles?
What is the approximate area of the shaded region of the diagram?
Answer:
approx area of circ.=254.34
area of triangl=40.5
shaed region=173.34
just add sq. units
Step-by-step explanation:
areas of the triangle are 9*9=81
r=9
a=pi*r^2
=3.14*81
=254.34
254.34-81=173.34
??????????? Neeeeed help
Answer:
it would be 3 tons and 80 ibs
hope that helps...if i am wrong, i am sorry :-)
Step-by-step explanation:
If angle EGD=38 degrees, what is angle IGJ?
Answer :FDG AND IGJ
Step-by-step explanation: Since EGF is 90 degrees then and EGD equals 38 degrees you need to subtract 38 from 90 and you are left with 52 degrees for angle FGD. The alternate interior angle to FGD is IGJ which would make the angles congruent.
The measure of angle IGJ is 38 degrees.
Let's derive the measure of angle IGJ step by step:
Given: Angle EGD = 38 degrees
To find: Angle IGJ
In triangle IGJ, we know that the sum of the interior angles is 180 degrees. Therefore, we can write:
Angle I + Angle G + Angle J = 180 degrees
Now, let's focus on angle G. Angle G is opposite to angle EGD in triangle EGD. According to the angle opposite to the side in a triangle theorem (or the angle opposite to the side is equal in a triangle theorem), we can say:
Angle G = Angle EGD
Given that Angle EGD = 38 degrees, we have:
Angle G = 38 degrees
Now, let's substitute this value into the equation for triangle IGJ:
Angle I + 38 degrees + Angle J = 180 degrees
Now, let's isolate angle I and angle J by subtracting 38 degrees from both sides:
Angle I + Angle J = 180 degrees - 38 degrees
Angle I + Angle J = 142 degrees
Now, we have an equation relating angle I and angle J. However, we need more information to determine the measure of either angle. But, we know that the sum of the angles in triangle IGJ is 180 degrees. Therefore, we can conclude that:
Angle I + Angle G + Angle J = 180 degrees
Angle I + 38 degrees + Angle J = 180 degrees
Angle I + Angle J = 180 degrees - 38 degrees
Angle I + Angle J = 142 degrees
Since the sum of angles I and J is 142 degrees, and we know that angle G is 38 degrees, the remaining angle (IGJ) must be equal to angle G:
Angle IGJ = Angle G = 38 degrees
Therefore, the measure of angle IGJ is 38 degrees.
Complete question
If angle EGD=38 degrees, what is angle IGJ?
what steps can you use to make your nails grow faster
Answer:
Olive oil contains Vitamin E, which improves blood circulation and facilitates nail growth. Heat up some olive oil and massage it into your nails and cuticles for about five minutes. Wear gloves and let it sit overnight. Alternatively, you can soak your nails in warm olive oil for fifteen to twenty minutes.
Step-by-step explanation:
Answer:
tea tree oil can work and to stop biting your nails use gel nail polish
Step-by-step explanation:
Answer to this please ASAP !
I am sorry but I am not 100% sure this is correct but it might be.. x = 80.3848
ANY HELP WITH THIS QUESTION WOULD BE GREAT
THANK YOU :)
Answer:
4+3 squared 3 equals 9.19 and 4-3 squared 3 equals -1.19
Step-by-step explanation:
A mouse is trapped in a maze. To find his way out he walks 10 m, makes a 90° right turn, walks 5 m, makes another 90°, and walks 7 m. What is the magnitude of the resultant vector? Round to the nearest tenth
The mouse's overall displacement or the magnitude of the resultant vector after moving through the maze is 17.7 m, calculated based on principles of vectors in physics and using the Pythagorean theorem.
Explanation:To find the magnitude of the resultant vector, indicating the mouse's displacement after traversing through the maze, we can use the principles of vectors in physics. The mouse goes through three separate displacement vectors, one of 10 m (right), another of 5 m (downward), and the last one of 7 m (right) again.
We can consider these displacements as components of two dimensions: X (horizontal) and Y (vertical). We sum the horizontal (rightward) displacements and vertical (downward) displacements separately. The horizontal displacement is 10 m + 7 m = 17 m (rightward). The vertical displacement is 5 m (downward).
To find the magnitude of the resultant displacement, we apply the Pythagorean theorem. The magnitude is the square root of the sum of the squares of the horizontal and the vertical displacement, so sqrt((17 m)^2 + (5 m)^2) = 17.7 m (rounded to the nearest tenth).
Learn more about Resultant Vector Magnitude here:https://brainly.com/question/1852933
#SPJ3
I NEEEEDD HELPPP!!!!!!!
The answer is the first option
[tex]\frac{3^{2}(-2)^{6}}{5^{4}}[/tex]
Quick tips to help you the next time
[tex](x^{2})^{2} = x^{4}\\Multiply the exponents
x^{3} × x^{4} = x{7}[/tex]Add the exponents
Answer:
the first person is right but...
Step-by-step explanation:
you should censor out your name!! Safety!
Abraham is spending a day at the hotel pool. He enjoys jumping from the very cool pool (62 degrees) to the very hot Jacuzzi (113 degrees). What temperature change is Abraham experiencing as he moves from pool to jacuzzi?
Answer:
51
Step-by-step explanation:
113-62=51
Please help me I need all right
Answer:
Jimmy and Jane
Step-by-step explanation:
They have used Pythagoras to find the length of BC. Moe is wrong because she wrote ( 1 - 4 ) ² but it's meant to be ( 4 - 1 ) ² and Alice is wrong because she forget to square 3,4 and x
Apples sell for $1.90 per pound, and bananas sell for $0.75 per pound. Troy bought some apples and some bananas. Together they weighed 3.8 pounds, and cost $5.84.
How many pounds of apples and how many pounds of bananas did Troy buy?
2.6 pounds of apples; 1.2 pounds of bananas
1.9 pounds of apples; 1.9 pounds of bananas
1.5 pounds of apples; 2.3 pounds of bananas
1.2 pounds of apples; 2.6 pounds of bananas
Answer:
2.6 pounds of apples; 1.2 pounds of bananas
Step-by-step explanation:
A = pounds of apples and B = pounds of bananas
The total weight is 3.8 pounds, so:
A + B = 3.8
Apples are $1.90 per pound and bananas are $0.75 per pound, and the total cost is $5.84, so:
1.90A + 0.75B = 5.84
We can solve the system of equations using either elimination or substitution.
Using substitution:
1.90A + 0.75(3.8 - A) = 5.84
1.90A + 2.85 - 0.75A = 5.84
1.15A = 2.99
A = 2.6
B = 3.8 - A
B = 1.2