The scale that is being used on the image is 1:7
Calculating scaleFrom the question, we are to determine the scale that is being used on the image.
From the given information,
The image of the book shown on the website is 1.5 inches wide and 3 inches tall
Also, we have that
The actual width of the book is 10.5 inches
The scale = Width of the book on the website / Actual width of the book
Thus,
Scale = 1.5 inches / 10.5 inches
Scale = 1/7
∴ Scale = 1 : 7
Hence, the scale that is being used on the image is 1:7
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The graph shows the relationship between pounds of grapes, g, and their cost, c.
A graph on a coordinate plane shows cost of grapes on the horizontal axis (c), numbered 2 to 6, and pounds of grapes on the vertical axis (g), numbered 1 to 4. Solid circles are at points (0, 0), (2, 1), (4, 2), (6, 3), and are connected by a solid line.
Use the graph to complete the statements.
For every dollar you spend, you can get
pounds of grapes.
For each pound of grapes, you would need $
.
For the two given statements are:
"For every dollar you spend, you can get pounds of grapes."
If one pound costs $2, then for each dollar you will get half a pound.
"For each pound of grapes, you would need"
For each pound of grapes you will need 2 dollars.
How to complete the given statements?
Here we know that the graph shows the relationship between the pounds of grapes (g) and the cost (c). Such that the cost is on the horizontal axis, and the weight on the vertical axis.
We have the points:
(0, 0) For 0 dollars you buy 0 pounds.(2, 1) for 2 dollars you buy one pound.(4, 2) for 4 dollars you buy 2 pounds.(6, 3) for 6 dollars you buy 3 pounds.Then this is a proportional relationship, and we can see that each pound of grapes costs $2
Then the statements are:
1) "For every dollar you spend, you can get pounds of grapes."
If one pound costs $2, then for each dollar you will get half a pound.
2) "For each pound of grapes, you would need"
For each pound of grapes you will need 2 dollars.
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Simplify this expression.
2d + 1 + d-5
[?]d + []
Answer:
3d-4
Step-by-step Explanation:
2d+1+d-5 Combine like terms 2d and d together which is 3d. That leaves you with 1-5 which is -4. so then you end up with 3d-4 as your answer.
Is Figure B a scale copy of figure A?
Yes, figure B is a scale copy of figure A.
As per the question statement and its reference diagram attached thereby, we are provided with two geometrical figures of same shape but different sizes.
We are required to determine if figure B is a scale copy of figure A or not.
To solve this question, we need to carefully compare the lengths of the corresponding sides from both the figures.
We can clearly see that, the dimension of every side of figure B is twice that of the corresponding side of Figure A, i.e.,
[tex](1*2)=2\\(2*2)=4\\(3*2)=6\\(4*2)=8[/tex]
Hence, it is proved that figure B is a scale copy of figure A.
Scale copy: In geometry, a scale copy of a figure is another figure having same shape, but the dimensions of all the sides of the scale copy are equal multiples of the dimensions of the corresponding sides of the original figure.To learn more about Scale Copy, click on the link below.
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16 ones 24 tens 1 hundred
The standard form for given values is 12416.
What are form of numbers?A number has two form . First is standard form and another is expended form of numbers.
What is standard form?It is a form in which we write number as a whole without describing the places for the numbers.
The numbers such as 456, 17817, 9009, 32 etc all are the standard form of the numbers.
What is Expended form?In the case of expended form we generally write number with its describe places of value or with the plus (+) symbol between them.
For example, 16 ones 24 tens 1 hundred is the expended form of numbers.
In the given question the form given is :
16 ones 24 tens 1 hundred
so, we have to place 16 at ones place , 24 at tens place and 1 at hunderedth place value .
Therefore, the standard form becomes : 12416.
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The complete question is:
Convert to standard form
16 ones 24 tens 1 hundred
Write in standard form y=2(x-3)^2+2
ill in the missing numbers along the sides of the triangle so that it contains each of the numbers from through exactly once. furthermore, each side of the triangle should contain four numbers whose sum is .
Each side of the triangle should contain four numbers whose sum is 28.
3+5+9+11=28
3+10+8+7=28
11+6+9+7=28
The pain of numbers that can be used for A and B is [5,9] The pain of numbers that can be used for C and D is [10,8] and the pain of numbers that can be used for E and f is [6,4].
What are the 3 sides of a triangle?The hypotenuse of a right triangle is its longest side; its "opposite" side is the one that faces the angle in question; and its "adjacent" side is the one that faces it. We use special terminology to define the sides of right triangles.
We use special terminology to define the sides of right triangles.
The side opposite the right angle is always the hypotenuse of a right triangle. It is the longest side in a right triangle.
The opposing and neighboring sides are the other two sides. The labels on these sides relate to an angle.
One side is across from another at a particular angle.
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Factor: x^2 - 169
please and thank you
Answer:
13,-13 are the factors
The steps are
x²-13²=(x+13)*(x-13)
so the factors are 13,-13
10 QUESTIONS IM ON 3
Answer:
x = 9
m<H = 38 degrees
Step-by-step explanation:
Answer: 9
Step-by-step explanation: sub in 9 for x in 5x-7. we get 38. add 38 and 89 and then subtract that sum from 180, which is 53. now add 53 to 14x+1 and make it equal to 180. To solve for x, subtract 54 from both sides, which gives us 14x=126. Divide both sides by 14 and we get x =9. Now that we know that 9 works for x in both equations, the answer is 9.
Arika and Savroop have 19 ½ cups of flour. They want to make loaves of banana
bread for a bake sale. Arika had a recipe for banana bread that calls for 1 ⅞
cups of flour. Savroop has a recipe that calls for 1 ½ cups of flour. Select all the
statements that are true about the recipes.
O Arika's recipe will make 10 whole loaves of banana bread.
O Savroop's recipe will make 14 whole loaves of banana bread.
O There will be less flour leftover if Savroop's recipe is used.
( There will be less flour leftover if Arika's recipe is used.
D More loaves of bread can be made using Arika's recipe than using Savroop's recipe.
Statements A and C are correct.
Here, we are given that Arika and Savroop have 19 ½ cups of flour. Arika had a recipe for banana bread that calls for 1 ⅞ cups of flour. Savroop has a recipe that calls for 1 ½ cups of flour.
Let us evaluate each option one by one-
A. Arika's recipe will make 10 whole loaves of banana bread.
Arika's recipe requires 1 ⅞ cups of flour = (8 + 7)/8
= 15/8
Total flour they have = 19 ½ = (19 × 2 + 1)/2
= 39/2
Thus, Arika's recipe will make = 39/2 ÷ 15/8
= 39/2 × 8/15
= 13 × 4/ 5
= 52/5
= 10.4
Thus, the given statement is correct.
B. Savroop's recipe requires 1 ½ cups of flour = (2+ 1)/2
= 3/2
Thus, Savroop's recipe will make = 39/2 ÷ 3/2
= 39/2 × 2/3
= 13
Thus, the given statement is incorrect. Savroop's recipe will make only 13 whole loaves.
C. As we can see above, Arika's recipe will make 10.4 loaves and thus 0.4 cups of flour will be left over. Whereas, in case of Savroop, no flour will be left over. Thus, the given statement is true.
D. By the same reasoning given above, the given statement is false as there will be less flour leftover if Savroop's recipe is used.
E. The given statement is again false as Arika's recipe will make only 10 loaves whereas Savroop's recipe will make 13.
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what is it called when you make predictions about data that is not recorded, but falls between the data collected?
when you make predictions about data that is not recorded, but falls between the data collected it is called Predictive analytic.
What is Predictive analytics?Data mining, predictive modeling, and machine learning are only a few of the statistical methods included in predictive analytics, which examine current and past data to anticipate future or otherwise unknowable occurrences.
Predictive models are used in business to detect risks and opportunities by making use of trends observed in historical and transactional data. In order to estimate the risk or potential associated with a certain set of variables and guide decision-making for possible transactions, models contain interactions among many different elements.
When we make a prediction about data is called predictive analytic.
But when it's not recorded it's called extrapolation.
But if it falls between data collected it called Predictive analytic.
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Please help it’s argent!!
5 employees are working on Saturday and get their base pay $125 per day plus an additional $40. How much will the company pay their employees to work on Saturday?
Answer:
=($25×5)+($125×5)
=$125+$625
=$750
Manny took home a couple of his friends after soccer practice. he originally had 4 gallons of gas in his car. he used 1.05 gallons of gas to take one friend home and three tenths gallon to take the other friend home. how much gas did he have left in his car after taking both friends home? 1.04 gallons 2.95 gallons 3.70 gallons 2.65 gallons
Answer:
2.65 gallons
Step-by-step explanation:
He originally had 4 gallons and he used 1.05 gallons.
4 - 1.05 = 2.95
He then used another three-tenths to take another friend home.
Three-tenths is equal to 3/10 or 30/100 or 0.30
2.95 - 0.30 = 2.65 gallons
5. YOU BE THE TEACHER Your friend identifies
the terms and like terms in the expression
3x-5-2x + 9x. Is your friend correct?
Explain your reasoning.
SIMPLIFYING ALGEBRAIC EXPRESSIONS Simplify the
16. 12g + 9g
17. 11x 9-7
O
The correct form of the expression is 5(2x - 2)
How to solve the expression?It should be noted that the expression that is given is illustrated as:
3x-5-2x + 9x.
To solve this, collect the like terms
3x - 2x + 9x - 5
= 10x - 5
= 5(2x - 1)
The correct form of the expression is 5(2x - 1)
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The length of a rectangle is twice the width. The area of the rectangle is 90 square units. Note that you can divide the rectangle into squares. A. Which irrational number represents the length of each side of the square? B. Estimate the length and width of the triangle
Answer: A. [tex]3\sqrt{5}[/tex]
B. l=[tex]6\sqrt{5}[/tex], w=[tex]3\sqrt{5}[/tex]
Step-by-step explanation:
A. A=l*w
l=2w
A=2w*w
90=2w*w
w*w=45
w=[tex]\sqrt{45}[/tex]
w=[tex]\sqrt{9*5}[/tex]
w=[tex]3\sqrt{5}[/tex] ==> Square length and the rectangle width
B. 90=l*w
90=l*[tex]3\sqrt{5}[/tex]
30=l[tex]\sqrt{5}[/tex]
l=[tex]\frac{30}{\sqrt{5} }[/tex]
l=[tex]\frac{30\sqrt{5} }{5}[/tex]
l=[tex]6\sqrt{5}[/tex], w=[tex]3\sqrt{5}[/tex]
Can someone please help mee (20 points + brainliest!!!)
solids that can made by equilateral triangle
Answer:
the tetrahedron, octahedron and icosahedron
Answer:
tetrahedron, octahedron, icosahedron
Which is a correct representation of x + 5 using algebra tiles?
The correct representation of x + 5 using algebra tiles is one green rectangle box and one small yellow box.
What are algebra tiles?Algebra tiles are the tiles or square or rectangular boxes which are use to represent the polynomial expression whether of linear , monomial or quadratic.
There are three types of algebra tiles :
Small squares : Small squares are generally use to represent a constant value which is a letter or any symbol. Rectangles : Rectangles are use to represent a monomial or linear expression such as x ,y , z etc.Large squares : They are use to represent quadratic expressions such as x^2 , y^2 , z^2 etc.All of these tiles has different color to represent positive and negative value :
Square Type Positive color Negative Color
Small squares Yellow Red
Rectangles Green Red
Large Squares Blue Red
For the given question, Expression is x + 5
that means, there is one Green rectangle and one Yellow small square.
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A road is 8/9 of a mile long. A crew needs to replace 4/5 of the road how long is the section that needs to be repaved
Answer:
4/45
Step-by-step explanation:
8 - 4
9 5
= 8 × 5 - 4 × 9
9 × 5 5 × 9
= 40 - 36
45 45
= 40 – 36
45
= 4
45
8/9 - 4/5
= 4/45
what is the value of arccos(-sqrt3/2)
the answer is 5pi/6
HELP PLS!!!!!!!!!!!!!!!!
Answer:
4x^3 (3)_/x + 10x^3 (3)_/x
Step-by-step explanation:
First lets solve the first term
When you multiply exponents you add them, so x^10 can be split into:
x^3 * x^3 * x^3 * x^1
We can then take it out.
4x^3 (3)_/x
Then for the other part we can also factor it.
2*2*2 is 8 so we can take that out and multiply it by 5 =10
You can keep x in there since you can factor it into smaller pieces.
The final answer you get when you add all of it together is :
4x^3 (3)_/x + 10x^3 (3)_/x
Before the break at swim-team practice, Nicole swam 1,200 yards. After the break, she swam 1,600 yards. What is the percent of increase in the number of yards Nicole swam? Round to the nearest tenth if necessary.
The percent of the increase in the number of yards Nicole swam will be 33.33%.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
Nicole swam 1,200 yards during the swim rookie minicamp before the break. She swam 1,600 yards after the break.
Then the percent of the increase in the number of yards Nicole swam will be
P = [(1600 - 1200) / 1200] x 100
P = (400 / 1200) x 100
P = 0.3333 x 100
P = 33.33%
The percent of the increase in the number of yards Nicole swam will be 33.33%.
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Please helpp
−5(−2/3)
Answer:
[tex]\frac{10}{3}[/tex] or 3.3333.....
Hope this helps.
Step-by-step explanation:
( negative ) * ( negative ) = ( positive )
5 * [tex]\frac{2}{3}[/tex] = [tex]\frac{5*2}{3}[/tex] = [tex]\frac{10}{3}[/tex]
The area of the parallelogram is 4 times the area of the triangle.
The perpendicular height of the parallelogram is h cm.
Find the value of h.
*HOMEWORK QUESTION*
Answer:
13
Step-by-step explanation:
Area of triangle = 0.5 × base × height
= 0.5 × 6 × 13
= 39
Area of parallelogram = 4 × Area of triangle
Note - Area of parallelogram = base × perpendicular height
Hence,
Base × perpendicular height = 4 × 39
12 × H = 156
H = 156 ÷ 12
= 13
Answer = 13
Answer:
h = 13 cm
Step-by-step explanation:
the area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
here b = 6 and h = 13 , then
A = [tex]\frac{1}{2}[/tex] × 6 × 13 = 3 × 13 = 39 cm²
Then the area (A) of the parallelogram = 4 × 39 = 156 cm²
the area (A) of the parallelogram is calculated as
A = bh ( b is the base and h the height )
here b = 12 , then
12h = 156 ( divide both sides by 12 )
h = 13
Help with math problems
In the given picture there is a graph and we have to find out is that graph is one to one or not.
It is a one to one graph.
In the graph there is line.
To know is the line is one to one or not we have to check 1st that the line is a function or not.
To check the line is function or not we have to do by vertical line test.
Graphically, the vertical line test is a way to determine if a line is a function or not.
To perform the vertical line test, we pass the vertical lines arrows the graph and if it does not intersect the graph more then one point it passes the vertical line then it can say as a function.
In the given figure1 we can see the vertical lines does not touch the line in the graph more then one point so it is a function.
Now, we know the line is a function so now we have to check if the line is one to one or not.
To check the line is one to one or not we have to do by horizontal line test.
Graphically, the horizontal line test is a way to determine if a line is a one to one or not.
To perform the horizontal line test, we pass the horizontal lines arrows the graph and if it does not intersect the graph more then one point it passes the horizontal line then it can say as a one to one function.
In the given figure2 we can see the horizontal lines does not touch the line in the graph more then one point so it is a one to one function.
Therefore, The graph is a one to one function.
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WILL CHOOSE THE BRAINLIEST ANSWER!!!
Answer:
A. 25°
Step-by-step explanation:
In triangle ABC:
<A + <B + <C = 180°
=> 45° + (2x - 15)° + 4x° = 180°
=> 6x° + 30° = 180°
=> 6x° = 150°
=> x° = 25°
Choose A.25°
Answer:
A. 25 degrees
x = 20
2(20) - 15 = 25 degrees
PLEASE HELP!!! Julie is helping her mom carry groceries. The bag she is carrying has everything they need to make spaghetti for dinner tonight. It has 450 grams of spaghetti, 750 grams of tomato sauce, and 0.5 kilograms of ground beef. How many kilograms does her bag of groceries weigh?
Answer:
1.7 kilograms
Step-by-step explanation:
750 + 450 + 0.5kg ( 1kg = 1000) so 0.5 would be 500g.
=1,700g (1.7kg) :)
A random sample of 92 sophomores are asked whether they plan to attend Homecoming. Of these, 51 sophomores said they will attend. What is the margin of error at 90% confidence and its interpretation?
The margin of error at 90% confidence and its interpretation is 0.085. 90% confident that the true proportion of sophomores who will attend Homecoming is within 0.085 of the sample proportion.
The margin of error is defined as a term used in statistics to find the confidence interval. It is denoted by E.
Given, random sample of 92 .
The formula for margin of error is;
[tex]E = z(\sqrt{(p(1 - p)/n} )[/tex]
The parameters are given as;
Sample size; n = 92
Sample of success; x = 51
Sample proportion:
p = 51/92
= 0.554
z at 90% CL = 1.645
Thus;
[tex]E = 1.645(\sqrt{(0.554(1 - 0.554)/92} )[/tex]
[tex]E = 0.085[/tex]
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SOMEONE PLEASE HELP ME I REALLY NEED HELP ON THIS
The volume of the square frustrum, the volume of the pyramid and the volume of the obelisc are 1018791.667 ft³, 22019.625 ft³ and 1040811.292 ft³, respectively.
How to determine the volume of the Washington Monument
In this problem we must determine the volume of a obelisc, which is equal to the sum of the volumes of a square frustrum and a pyramid with a square base. First, sum the volumes of the frustrum and the pyramid:
V' = (1 / 3) · 500 · (55² + 55 · 34.5 + 34.5²)
V' = 1018791.667 ft³
V'' = (1 / 3) · (34.5)² · 55.5
V'' = 22019.625 ft³
Second, calculate the volume of the obelisc:
V = V' + V''
V = 1018791.667 ft³ + 22019.625 ft³
V = 1040811.292 ft³
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Work out the difference between 88.1 and 2.81
Help me solve these please
Answer:
See picture below
Step-by-step explanation:
Answer:
7. 2^-5= 1/2^5= 1/32
8. (4/5)^-3= (5/4)^3=125/64
9. 8^-4/8^-7=8^-4+(-7)=8^11=216
10. (1/3)^-2 x (1/3)^2=(1/3)^-2+2=(1/3)^0=1