The cost of one box of paper clips is $1.85 and the cost of one package of index cards is $3.95
Step-by-step explanation:
Eldora and Finn went to an office supply store together
Eldora bought 15 boxes of paper clips and 7 packages of index cards for a total cost of $55.40
Finn bought 12 boxes of paper clips and 10 packages of index cards for a total cost of $61.70
We need to find the cost of one box of paper clips and the cost of one package of index cards
Assume that the cost of one box of paper clips is $x and the cost of one package of index cards is $y
∵ x represents the cost of one box of paper clips
∵ y represents the cost of one package of index cards
∵ Eldora bought 15 boxes of paper clips and 7 packages of
index cards for a total cost of $55.40
∴ 15x + 7y = 55.4 ⇒ (1)
∵ Finn bought 12 boxes of paper clips and 10 packages of
index cards for a total cost of $61.70
∴ 12x + 10y = 61.7 ⇒ (2)
Now we have system of equations to solve it
Multiply equation (1) by -10 and equation (2) by 7 to eliminate y
∵ -10(15x) + -10(7y) = -10(55.4)
∴ -150x - 70y = -554 ⇒ (3)
∵ 7(12x) + 7(10y) = 7(61.7)
∴ 84x + 70y = 431.9 ⇒ (4)
Add equations (3) and (4)
∵ (-150x + 84x) + (-70y + 70y) = (-554 + 431.9)
∴ -66x = -122.1
- Divide both sides by -66
∴ x = 1.85
Substitute the value of x in equation (1) or (2) to find y
∵ 12(1.85) + 10y = 61.7
∴ 22.2 + 10y = 61.7
- Subtract 22.2 from both sides
∴ 10y = 39.5
- Divide both sides by 10
∴ y = 3.95
The cost of one box of paper clips is $1.85 and the cost of one package of index cards is $3.95
(this is an answer I got previously)
The red figure is similar to the blue figure. Describe a sequence of transformations
in which the blue figure is the image of the red figure.
(just one sequence needed)
*WILL GIVE BRAINLIEST TO THE CORRECT ANSWER*
Answer:
3/8 is blue because since 5/8 is red there is only 3/8 left of the figure so it has to be 3/8 blue
Step-by-step explanation: TYYYYYYY
PLS PLS PLS PLS HELP!!!!
What's 2+2???
CORRECT ANSWER=BRAINLIEST
Answer:
4
Step-by-step explanation:
By adding (+ / Plus) 2 and 2 together, like II + II, you get IIII. Otherwise, 4. Or "Four" as a word. You pronounce it just like you say "For" as in "For you". "Four" and "For" mean different things, but sound the same when said. Hope this helped! (lol i know this is a joke question)
Zach substitutes the values 32 inches, 20 inches and 20 inches into the Pythagorean theorem. Explain what Zach is most likely trying to find out.
Answer:if a triangle is a right triangle, then the sum of the squares of the lenghts of the legs is equal to the square of the length of the hypotenuse.
- a property of all triangles with a right-angle (an angle of 90°)
Step-by-step explanation:
Zach is trying to find out the hypotenuse value of the right-angle triangle.
What is the right triangle?A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.
The Pythagorean theorem states that "in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides".
Zach is most likely trying to find the length of the hypotenuse of a right triangle, which is the side opposite the right angle, given the lengths of the other two sides.
In this case, given 32 inches, 20 inches, and 20 inches values, he's trying to find out the hypotenuse value of the right-angle triangle.
Learn more about the right triangle here:
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This figure consists of a rectangle and semicircle.
What is the area of this figure?
Use 3.14 for π.
A shape made up of a rectangle of the left and a semicircle on the right. The rectangle has a width of 15 meters and a height of 12 meters.
Enter your answer to the nearest hundredths place in the box.
Question 5 options:
Step-by-step explanation:
l = 12 metres
b = 15 metres
diameter of semicircle = length = 12 m
radius = 12/2 = 6 cm
area of the figure = area of rectangle + area of semi circle
= l × b + πr²
= 12 × 15 + 3.14 × 6²
= 180 + 113.04
= 293.04 m²
The perimeter of the figure is 60.84 meters.
What is a rectangle?A rectangle is a quadrilateral with all four interior angles 90°.
Given that, the width and height of the rectangle are 15 meters and 12 meters respectively.
Note that the diamter o he semicircel is 12 meters.
The radius of the semicircle is:
12/2
= 6 meters
The perimeter of the figure is given by:
15 + 12 + 15 + π(6)
= 42 + 3.14×6
= 60.84
Hence, the perimeter of the figure is 60.84 meters.
Learn more on rectangles here:
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answer all 3 for brainliest
50 POINTS! GIVING BRAINLIEST!
1. Given triangle ABC, where
2. A cable is attached to a pole 10 meters high. If the other end is attached to the ground 8 meters from the base of the pole. How long is the cable?
Answer:
the cable is 2\sqrt{41} meters long
Step-by-step explanation:
after drawing out the lengths given, you can see that you need to find the hypotenuse of a triangle with legs 10 and 8 meters long.
10^2+8^2=164
sqrt of 164 is [tex]2\sqrt{41}[/tex]
Answer:
[tex]2\sqrt{41}\: \sf m[/tex] = 12.81 m (nearest hundredth)
Step-by-step explanation:
This can be modeled as a right triangle, with:
height = 10 ftbase = 8 ftThe length of the cable is the hypotenuse.
Using Pythagoras' Theorem: [tex]a^2+b^2=c^2[/tex]
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
[tex]\implies 8^2+10^2=c^2[/tex]
[tex]\implies 164=c^2[/tex]
[tex]\implies c=\sqrt{164}[/tex]
[tex]\implies c=\sqrt{4 \cdot 41}[/tex]
[tex]\implies c=\sqrt{4} \sqrt{41}[/tex]
[tex]\implies c=2\sqrt{41}\: \sf m[/tex]
Therefore, the length of the cable is [tex]2\sqrt{41}\: \sf m[/tex] = 12.81 m (nearest hundredth)
help help help help help
50 POINTS GIVING BRAINLIEST!
Answer:
m∠CAB = 90°
BD = 9
m∠ABC = 90°
arc AEC = 180°
AD = 14.5
Step-by-step explanation:
Question 1
The angle between the radius and a tangent to the circle is always 90°.
Therefore, as AC is the radius and AB is a tangent segment, m∠CAB=90°
As m∠CAB = 90°, we can use Pythagoras' Theorem to find BC (hypotenuse):
AC² + AB² = BC²
⇒ 8² + 15² = BC²
⇒ BC² = 289
⇒ BC = 17
As CD is the radius, CD = 8
Therefore, BD = BC - CD = 17 - 8 = 9
Question 2
If D is the center, then AC is the diameter. Angles at the circumference in a semicircle are always 90°. Therefore, m∠ABC = 90°
As AC is the diameter, arc AEC is half of the circle.
Therefore, arc AEC = 360° ÷ 2 = 180°
As m∠ABC = 90°, we can use Pythagoras' Theorem to find AC (hypotenuse):
BC² + AB² = AC²
⇒ 20² + 21² = AC²
⇒ AC² = 841
⇒ AC = 29
AD is the radius. A radius is half the diameter.
Therefore, AD = AC ÷ 2 = 29 ÷ 2 = 14.5
Write the equation for each translation of the graph of y=|x+2|.
a) one unit up
b) one unit down
c) one unit to the left
d) one unit to the right
a) one unit up = Ix + 2I + 1
b) one unit down = Ix + 2I - 1
c) one unit to the left = Ix + 1I
d) one unit to the right = Ix + 3I
What is transformation on the graphs?Let the function f(x) and g(x) are two real functions.
And g (x) = f (x) + k, where k is real numbers.
Function can be sketched by shifting f (x), k units vertically.
The direction of shift can be found by the value of k:
if k > 0, the base graph shifts k units up, and
if k < 0, the base graph shifts k units down.
The function provided by the basic function f(x) and the constant
g(x) = f(x - k),
may be drawn by horizontally moving the f(x) k unit coordinates.
The shift's direction depends on the value of k. Specifically,
The base graph moves k units to the right if k > 0, and
The base graph moves k units to the left if k < 0.
The graph of y = |x+2| is a V-shaped graph centered at x = -2.
To translate this graph, we need to modify the equation to shift it up/down or left/right.
Here are the equations for each translation:
a) To shift the graph one unit up, we need to add 1 to the equation:
y = |x+2| + 1
b) To shift the graph one unit down, we need to subtract 1 from the equation:
y = |x+2| - 1
c) To shift the graph one unit to the left, we need to replace x with (x+1) in the equation (since moving left means decreasing x by 1):
y = |(x+1)+2|
Simplifying this gives:
y = |x+3|
d) To shift the graph one unit to the right, we need to replace x with (x-1) in the equation (since moving right means increasing x by 1):
y = |(x-1)+2|
Simplifying this gives:
y = |x+1|
Therefore, all the required values are given above.
To learn more about the transformation on the graphs;
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Please help me find the surface area.
Answer:
cool sooo coolll very nice drawing
Answer:
the anwer is 500
Step-by-step explanation:
hope this helps
CAN SOMEONE HELP PLEASE!
Answer:
the answer is the number two.
Step-by-step explanation:
1. compare the table, the person without a membership is more likely to take vitamin than a person with gym membership. 2 compare the answer with each other.
I need help asap with this math problem!
Answer:
389 feet away....about a block !
Step-by-step explanation:
If 0ne foot = 2.389x 10^5 miles
2.389x10^5 miles / 'foot'
find the number of 'feet' to the sun for the model
9.296 x 10^7 miles / 2.389 x 10^5 miles/'foot' = ~~389 feet !!
Reggie's account is -$215 dollars. How much money does Reggie owe?
Please multiply and add the question shown down below.
Then Pick: A, B, C, or D.
Answer:
1/7 + 2/7 * 1/4 = 3/14, therefore your answer is, B.
Step-by-step explanation:
I added 1/7 and 2/7 then multiplied it by 1/4 and got 3/14!
Answer:
B
Step-by-step explanation:
1/7 + 2/7 x 1/4
Bodmas
1/7 + 2/7 x 1/4
1/7 + 1/7 x 1/2
1/7 + 1/14
LCM = 14
2 + 1 3
--------- = -------
14 14
the probability of randomly drawing a green marble out of a bag of gree, red, and blue marbles is 3/5. what is the probability of randomly drawing a red or blue marble
Send help its 50 points !
Step-by-step explanation:
According to picture we can see
Vertical anglesThe opposite angles formed by two intersecting lines
1, 6 and 9Complementary anglesThe angles forming a right angle
2Adjacent angles4 and 5 (most of other angles can be added to this group)Linear pairThe angles forming a straight line
3, 7 and 8Anais placed 100 slips of paper, all equally sized and shaped, into a bag. Each slip was colored either red, blue, green, or orange. The red slips were numbered 1-25, the blue slips were numbered 26-40, the green slips were numbered 41-75, and the orange slips were numbered 76-100.
What is the probability that Anais pulls out a blue slip of paper?
A. 1/4
B. 3/20
C. 7/20
D. 2/5
What is the overlap of Data Set 1 and Data Set 2?
high
moderate
low
none
Answer: High
Step-by-step explanation: Same endpoints and similar values
The high overlap is the overlap that we are having here.
What is meant by high data set overlap?High dataset overlap typically refers to a situation in which two or more datasets contain many of the same or very similar entries or data points.
This can happen, for instance, in the field of machine learning, when training and testing datasets have high overlap, which could lead to overfitting. Overfitting is a modeling error that occurs when a function is too closely fit to a limited set of data points and may therefore perform poorly on new, unseen data.
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Please answer, i'm timed (EDGE 2022)
Answer:
ahh, ok so i believe its A AND E
Step-by-step explanation:
i have taken this quiz i think and i think this was it if im wrong im SOOO sorry
Answer:
Im pretty sure its #2
Step-by-step explanation:
hope thats my explanation.
PLS HELP I WILL CHOOSE BRAINLIEST
Read the line from "Harlem [2]."
Or fester like a sore—
What does the word fester mean?
burst
appear
decay
develop
PLEASE HELP, the picture below are the details (giving brainliest)
Answer:
A or C but i believe it is A
2. HELP ASAP!!! GIVING BRAINLIEST!!!
Find each missing measure.
Answer:
49 and 26
Step-by-step explanation:
every triangles angles equal 180 degrees 76 + 55 equals 131. 180 - 131 = 49. the 2nd question has a small square at the bottom part of the triangles and those always mean 90 degrees. 64 + 90 = 154. 180 - 154 = 26.
help me with this pleaseee!!!!
Answer:
The answer is : 11°
Step-by-step explanation:
MKL+KLM = LMN
= (3x+19)°+(2x+8)° = (7x+5)°
= 5+27° = 7x+5°
= 2x = 22°
= x = 11°
Which of the following inequalities is correct?
Answer:
Step-by-step explanation:
it is option C because a positive number will always be bigger then a negative number
Solve rational equation
Please Draw Steps, and show answer please!
By, Cross multiplying, we get
[tex]⇢2x(x - 1) = (2x - 1)(x + 2)[/tex]
[tex]⇢2 {x}^{2} - 2x = 2x(x + 2) - 1( x+ 2)[/tex]
[tex]⇢2 {x}^{2} - 2x = 2 {x}^{2} + 4x - x - 2[/tex]
Here, [tex]2 {x}^{2} [/tex] from both sides will get cancelled
[tex] ⇢- 2x = 3x - 2[/tex]
[tex]⇢ - 2x - 3x = - 2[/tex]
[tex] ⇢- 5x = - 2[/tex]
[tex] ⇢x = \frac{ - 2}{ - 5} [/tex]
[tex] ⇢ \underline { \boxed{ x = \frac{2}{5} }} [/tex]
Answer:
[tex]x=\frac{2}{5}[/tex]
Step-by-step explanation:
[tex]\frac{2 x}{x+2}-\frac{x}{x-1}=1[/tex]
[tex]\begin{aligned} & \Leftrightarrow \frac{2 x(x-1)}{(x+2)(x-1)}-\frac{x(x+2)}{(x-1)(x+2)}=1 \\& \Leftrightarrow \frac{2 x^{2}-2 x}{(x+2)(x-1)}-\frac{\left(x^{2}+2 x\right)}{(x+2)(x-1)}=1 \\& \Leftrightarrow \frac{2 x^{2}-2 x-\left(x^{2}+2 x\right)}{(x+2)(x-1)}=1 \\& \Leftrightarrow \frac{2 x^{2}-2 x-x^{2}-2 x}{(x+2)(x-1)}=1 \\& \Leftrightarrow \frac{x^{2}-4 x}{(x+2)(x-1)}=1 \\\end{aligned}[/tex]
[tex]\begin{aligned}& \Leftrightarrow x^{2}-4 x=(x+2)(x-1) \\& \Leftrightarrow x^{2}-4 x=x^{2}-x+2 x-2 \\& \Leftrightarrow x^{2}-4 x=x^{2}+x-2 \\& \Leftrightarrow-4 x=x-2 \\& \Leftrightarrow 5 x=2\end{aligned}[/tex]
therefore,
[tex]x=\frac{2}{5}[/tex]
The area of a square floor on a scale drawing is 100 square centimeters, and the scale drawing is 1 centimeter:2 ft. What is the area of the actual floor? What is the ratio of the area in the drawing to the actual area?
The area of the actual floor is ................... square feet.
The ratio of the area in the drawing to the actual area is 1 square centimeter:............. square ft
Answer: Ok let's say the area is 100 sq cm because it is 10x10 square. Now if 1 cm is 2 ft then 10 cm is 20 ft. So 20 x 20 is 400 sq ft which is the actual area.
1 sq cm = 4 sq ft
Good luck!
Need help its for 20 points whoever complete this for me I will give you a crown
Answer:
please give options.
Step-by-step explanation:
The number of inches is what ?
Consider the expression.
12(-72)+41(-3 -32)
Answer:
-2299 is the correct answer
Step-by-step explanation:
i used a calculator
WILL CHOOSE BRAINLIEST!!! The oxford square is approximately 300 feet on each side. What is the length of the diagonal square?
Answer:
[tex]300\sqrt{2}[/tex]
Step-by-step explanation:
using pythagorean theorem we know that a^2+b^2=c^2 so [tex]300^2+300^2=c^2[/tex]
so [tex]c=+- \sqrt{300^2+300^2}[/tex] knowing that the line has to be positive you take the positive integer.