Step-by-step explanation:
La geometría permite a los estudiantes conectar objetos cartográficos en el aula con contextos del mundo real con respecto a la dirección y el lugar. La comprensión de las relaciones espaciales también se considera importante en el papel de la resolución de problemas y las habilidades de pensamiento de orden superior.
Given that 3 apples and 4 pears cost $1.95, 4 pears and 1 orange cost $1.60, and 1 orange and 3 apples cost $1.15, what is the cost of 1 apple?
Answer:
Step-by-step explanation:
Given that 3 apples and 4 pears cost $1.95, 4 pears and 1 orange cost $1.60, and 1 orange and 3 apples cost $1.15, what is the cost of 1 apple?
Let us represent
Number of apples = x
Number of pears = y
Number of oranges = z
Given that
3 apples and 4 pears cost $1.95
3x + 4y = 1.95
4 pears and 1 orange cost $1.60
4y + z = 1.60
z = 1.60 - 4y
1 orange and 3 apples cost $1.15
z + 3x = 1.15
z = 1.15 - 3x
what is the cost of 1 apple?
Ten people put 63 boxes on a red truck and 38 boxes on a blue track About how many boxes did they load in all
Answer:
63+38=101
Step-by-step explanation:
Kirk is getting a raise of 5% due to inflation. His normal salary is $56,000 per year. Which of the following calculations gives Kirk's new salary, in dollars? A. 56,000 +5 B. 56,000 + 56,000(0.05) C. 56,000 + 56,000(0.50) D. 56,000 + 56,000(5) E. 56,000(.05)
Answer:
The answer is B. 56,000 + 56,000(0.05) because 5% or expressed in decimals 0.05 multiplied by the quantity 56,000 gives us 5% of Kirk's normal salary and added to his normal salary will give us his new salary.
(His new salary is 58,800 and 5% of his normal salary is 2,800)
factor the expression below
x^2-49
Answer:
(x+7)(x-7)
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Find (3x+1)(x+4) using the table of products. Write your answer in standard form.
Step-by-step explanation:
just multiply both the values and get the quadratic solution.
The standard form of the (3x+1)(x+4) is 3x^2+13x+4=0.
We have given that,
(3x+1)(x+4) using the table of products.
We have to determine the standard form.
What is the formula of the standard form?
The quadratic function f(x) = a(x - h)2 + k, a not equal to zero, is said to be in standard form. If a is positive, the graph opens upward, and if a is negative, then it opens downward. The line of symmetry is the vertical line x = h, and the vertex is the point (h,k).
ax^2+bx+C=0
[tex]=3xx+3x\cdot \:4+1\cdot \:x+1\cdot \:4[/tex]
[tex]=3x^2+13x+4[/tex]
Therefore the standard form is 3x^2+13x+4=0.
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BCDE is a rhombus. Find the missing measures.
BC = 28 and BD = 32
CD =
FD =
EF =
EC =
Answer: CD=28
FD= 16
Step-by-step explanation:
What is an equation of the line that passes through the point (6,1) and is perpendicular to the line 2x+3y=18?
Answer
y = 3/2x -8
Step-by-step explanation:
The first thing you should do is change the equation into slope intercept form. Subtract 2x from both sides to get: 3y = -2x + 18. Divide all parts of the equation by 3 to get your equation in slope intercept: y = -2/3x + 6. One thing you should know when finding the slope of a perpendicular line is that it is the opposite reciprocal. So, the slope is going to be 3/2. This is your current equation: y = 3/2x + b. Plug in the point to the equation, it should look like this: 1 = 3/2(6) + b. Multiply 3/2 by 6 to get 9. This is what it should look like: 1 = 9 + b. Then, subtract 9 from both sides of the equation to get your y-intercept of -8. Go back to your other equation and plug in -8 for b. This is your final equation: y = 3/2x -8.
1. Write a rule for the transformation performed if Q(3 , 5) translates to Q’( 3, 18).
2. Consider the point Q(4,-3) which is translated to (3,2). What would the pre-image of P(1, 2) be under the same translation?
Function Notation.
Find the range values (y-values) for function f(x)=2x^2-4 when the domain (x-value) is (-2,0,1)
f(-2)=2(-2)^2-4= ?
f(0)=2(0)^2-4= ?
f(1)=2(1)^2-4= ?
Answer:
1. vertical translation (the point goes straight up)
2. P'(0,7) (the translation was up five units and over 1 unit)
3. f(-2)=2(-2)^2-4= (all y values are 4) (0,4)
f(0)=2(0)^2-4= (all y values are -4) (0,-4)
f(1)=2(1)^2-4= (all y values are -2) (0,-2)
A water tank holds 1,088 gallons but is leaking at a rate of 5 gallons per week. A second water tank holds
1,360 gallons but is leaking at a rate of 9 gallons per week. After how many weeks will the amount of
water in the two tanks be the same?
The amount of water in the two tanks will be the same in
weeks.
The first tank hold 1088 - 5t gallons of water after t weeks, while the seocnd tank holds 1360 - 9t gallons after t weeks.
Both tanks hold the same amount of water when
1088 - 5t = 1360 - 9t
Solve for t :
4t = 272
t = 68
So the tanks will hold the same amount of water after 68 weeks.
Susan Marciano invested part of her $27,000 bonus in a fund that paid a 12% profit and invested the rest in stock that suffered a 3% loss. Find the amount of each investment if her overall net profit was $1,590.
The art club is designing a rectangular mural for the school hallway. Three
corners are located at (-1,-1),(-1, 1), and (4.1) on a coordinate plane. Find the
fourth vertex and graph the rectangle on the coordinate plane below.
Fourth vertex:
Answer:
The coordinates are (50, 103)
Step-by-step explanation:
The three hallways are AB, BC, CD.
The co-ordinate of D is (50, 75).
The school's flagpole is 28 meters right of the point D.
Hence the y-coordinate for the flagpole will be same as D, that is 75.
The x-coordinate will be (28 + 75) = 103.
The location of the school's flagpole will be represented by (50, 103)
The 4th vertex of the rectangle is given by D ( 4 , -1 ) and the graph is plotted
What is the Area of a Rectangle?The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle
Area of Rectangle = Length x Width
Given data ,
Let the area of the rectangle be represented as S
Let the rectangle be represented as ABCD
The coordinates of A = A ( -1 , -1 )
The coordinates of B + B ( -1 , 1 )
The coordinates of C = C ( 4 , 1 )
So , the length of the rectangle = 4 units
The width of the rectangle = 2 units
So , the area of the rectangle S = 4 x 2 = 8 units
And , the 4th vertex of rectangle D = D ( 4 , -1 )
Hence , the coordinate D of rectangle is D ( 4 , -1 )
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Trapezoid ABCD has an area of 57. BC = 7 and AD = 12. What is the height of the trapezoid?
Answer:
Step-by-step explanation:
57x2/(12+7)=6
Fill in the blanks to write the fraction 3/4 as in different ways
Answer:
1.3/4 × 2/2 = 6/8
2.3/4 × 3/3 = 9/12
3.3/4 × 4/4 = 12 /16
4. 3/4 × 5/5 = 15/20
in a 5th grade class, 9/10nof the students like going to the movies. Of those students 4/5 like popcorn. Of the students that like popcorn, 2/3 of them also like candy. what fraction of the students class like popcorn at the movies? What faction lf the students in class like popcorn and candy at the movies?
Answer:
48%
Step-by-step explanation:
9/10 of the students like going to the movies.
4/5 of 9/10 is 72/100 or 72%.
2/3 of 72 is 48.
So, 48% of the students like popcorn, candy, and going to the movies.
What is m/3= -1.5 what is m???
Answer:
-4.5
Step-by-step explanation:
M would be -4.5 because if you multiply -1.5 by 3 you get -4.5. Therefore the equation would be -4.5/3= -1.5 .
Hope this helps :))
The Value that you insert into a function is know as the?
Answer:
Step-by-step explanation:
Most commonly, that value would be the "independent variable."
We evaluate the function at that particular value of the independent variable.
PLEASE HELP ME ON THIS ITS THE LAST ONE FOR THE DAY
Answer:
z=95
Step-by-step explanation:
z-28=67
+28 +28
x=95
all you have to do is make both side of the eqaution balanced
if you add 28 to one side you do it to the other side as well
HELP! WILL GIVE BRAINLY!!! Find the volume of a cylinder with height = 10ft and the diameter of the base circle is 12ft.
Answer:
About 1,130.4 Cubic Feet
(My previous answer was a mistake. It has now been corrected)
Step-by-step explanation:
The Volume of a cylinder = Height * Pi * Radius^2
The radius is half the diameter, so 12 ÷ 2 = 6
Pi rounded to the hundredth place is 3.14.
Volume = 10 * 3.14 * 6^2 = 1,130.4
Therefore the Volume is about 1,130.4 cubic feet.
Answer:
Exact Volume = 360pi cubic feet
Approximate Volume = 1130.4 cubic feet
The approximate volume is found when you use pi = 3.14; use more decimal digits of pi to get a more accurate value.
===========================================================
Explanation:
The volume of a cylinder is found by the formula
V = pi*r^2*h
where,
pi = 3.14 approximatelyr = radius = 6 ft, since the radius is half the diameter.h = height = 10 ftSo,
V = pi*r^2*h
V = pi*6^2*10
V = pi*36*10
V = pi*360
V = 360pi ........... exact volume in terms of pi
V = 360*3.14
V = 1130.4 ......... approximate volume if you use pi = 3.14
The units of the volume are in "cubic feet" which we can abbreviate to "ft^3". Think of a 1 ft by 1 ft by 1 ft cube. The volume would be 1*1*1 = 1 cubic foot. So basically having a volume of roughly 1130 cubic feet means we need this many cubic blocks to form the cylinder (some of the blocks will be cut up to be able to fit).
Plz help me with this question
Answer:
C
Step-by-step explanation:
Remark
There are probably a couple of ways that you could do this. I'm going to pick the most obvious way.
Givens.
KN = 2.5
NO = 10
LM = 3
MP = x
Equation
NO/KN = PM / LM
Solution
10 / 2.5 = x / 3 Cross multiply
2.5x = 10 * 3 Combine
2.5x = 30 Divide by 2.5
x = 30/2.5
x = 12
That looks like it should be the answer, and it almost is, but you are asked for LP.
LP = LM + MP
LP = 3 + 12
LP = 15
The answer is 15
You are schools you are a school supply shopping in together as a package of six pink pencils for 250 how much does each pencil cost
Answer:
41.67 dollars
Step-by-step explanation:
because 250/6= 41.6666666667
that rounded is 41.67 dollars
Find the unknown side length x. Write your answer in simplest radical form
Answer:
B
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + 30² = 50²
x² + 900 = 2500 ( subtract 900 from both sides )
x² = 1600 ( take the square root of both sides )
x = [tex]\sqrt{1600}[/tex] = 40 → B
Find the scale factor of the small triangle to the large triangle.
Answer:
scale factor is: 2.25
Step-by-step explanation:
What are the intercepts of the graphed function?
x-intercept = (0, –1) y-intercept = (0, –3)
x-intercept = (0, –1) y-intercept = (–3, 0)
x-intercept = (–1, 0) y-intercept = (0, –3)
x-intercept = (–1, 0) y-intercept = (–3, 0) Oops! The y-intercept was incorrect!
Answer:
The first option.
Step-by-step explanation:
Which equation is true?
Answer:
i think its the 3rd option
find a ⋅ b
a = 7i - 4j, b = 4i + 3j
Answer:
28i^2 + 5ij - 12j^2
Step-by-step explanation:
(7i-4j)(4i+3j)
7i times 4i is 28i^2
7i times 3j is 21ij
-4j times 4i is -16ij
-4j times 3j is -12j^2
In equation it looks like this:
28i^2+21ij-16ij-12j^2
Simplify 21ij and -16ij
21ij-16ij is 5ij
So the answer is:
28i^2 + 5ij - 12j^2
Hope this helps!
Answer:
The answer is 16
Step-by-step explanation:
Salesman Scott received $2,792.79 for selling a property. If the gross commission was 6.5 % of the sale price, the listing salesman received 12% of the gross commission and Scott received 45% of the balance, how much did the property sell for?
Answer: The property sold for $5,870.41.
Step-by-step explanation:
Let x be the selling price of the property.
Then, gross commission = 6.5% of x = 0.065x
listing salesman received = 12% of ( 0.065x) = 0.12 (0.065x) = 0.0078 x
Balance = x - ( 0.065x) - (0.0078 x)
= (1+0.065-0.0078)x
= 1.0572x
Scott received = 45% of (1.0572x)
=0.45 (1.0572x)
= 0.47574x
Now, [tex]0.47574x=2,792.79[/tex]
[tex]\Rightarrow\ x=\dfrac{2792.79}{0.47574}\\\\\Rightarrow\ x=5870.41[/tex]
Hence, the property sold for $5,870.41.
Avery is buying string and beads to make bracelets for her family and friends. She plans to divide the string into 9-inch pieces to make at least 27 bracelets. What is the minimum amount of string she needs to buy?
Answer:
243 inches
Step-by-step explanation:
27 bracelets at 9inches each
9x27=243 inches or 20 feet and 1/4 inches of string. Depending on how the string is sold (by the foot, by the inch, yard, etc) will determine her minimum quantity, if you want to get specific.
X + 54 = 37 so X = ?
Answer:
x=-17
Step-by-step explanation:
x+54=37
-54. -54
x=-17
Will mark brainliest for whoever answers correctly
Step-by-step explanation:
r = 3 √ 3V / 4π
is the correct answer of this question .
I don't know I need help.
Which of the following numbers can be expressed as repeating decimals?
3 over 7, 2 over 5, 3 over 4, 2 over 9
2 over 9 and 3 over 4
3 over 7 and 2 over 5
2 over 5 and 3 over 4
3 over 7 and 2 over 9
Answer:
2/9 = 0.2 repeating
3/7 = 0.428571 repeating
Step-by-step explanation: