Answer:
Height and Base Area
Step-by-step explanation:
If two space figures have the same height and the same cross-sectional area at every level, then they have the same volume
- Cavaleri's Principle
Somebody please help me
Answer:
A). Scale factor = [tex]\frac{1}{4}[/tex]
B). Length of the unknown side = 2.75 feet
Step-by-step explanation:
Part A
Since, the large rectangle was scaled by a scale factor 'k' to form the smaller rectangle,
Scale factor = [tex]\frac{\text{Side length of the image}}{\text{Side length of the preimage}}[/tex]
= [tex]\frac{\text{Side length of the smaller rectangle}}{\text{Side length of the larger rectangle}}[/tex]
= [tex]\frac{4}{16}[/tex]
= [tex]\frac{1}{4}[/tex]
Part B
Scale factor = [tex]\frac{\text{Side length of the smaller rectangle}}{\text{Side length of the larger rectangle}}[/tex]
[tex]\frac{1}{4}=\frac{\text{Side length of the smaller rectangle}}{11}[/tex]
Therefore, side length of the unknown side = [tex]\frac{11}{4}[/tex] = 2.75 feet
1
Mary and Darryl are selling flower bulbs for a school fundraiser. Customers can buy bags of
windflower bulbs and bags of daffodil bulbs. Mary sold 10 bags of windflower bulbs and 4
bags of daffodil bulbs for a total of $226. Darryl sold 6 bags of windflower bulbs and 4 bags of
daffodil bulbs for a total of $166. What is the cost each of one bag of windflower bulbs and
one bag of daffodil bulbs?
Answer:
15 windflower bulbs
19 daffodil bulbs
Step-by-step explanation:
Given
Represent windflower with W and daffodil with D.
So:
Mary's sales is:
10W + 4D = 226 --- (1)
Darryl's sales is:
6W + 4D = 166 ---- (2)
Required
Solve for W and D
We'll make use of elimination method.
Start by subtracting (2) from (1)
10W - 6W + 4D - 4D = 226 - 166
4W = 60
Multiply both sides by ¼
¼ * 4W = 60 * ¼
W = 60 * ¼
W = 15
Substitute 15 for W in (1)
10W + 4D = 226
10 * 15 + 4D = 226
150 + 4D = 226
Collect like terms
4D = 226 - 150
4D = 76
Multiply both sides by ¼.
¼ * 4D = 76 * ¼.
D = 19
Look at the picture!
Please I need help!
Select the correct answer.
ОА
Which equation represents the line that is perpendicular to y = $5 + 23 and passes through (-40,2012
- 15
y = - = - 30
= 5 + 52
= - 56
ОВ.
Ос. y =
OD.
Answer:
The question is written kinda bad, so i take the next two assumptions:
The original line is:
y = 5*x + 23
And we want to find a perpendicular line that passes through the point (-40, 2012)
Suppose that we have a linear equation:
y = a*x + b
A perpendicular line to this one, will have a slope equal to -(1/a)
Then a random perpendicular line to the one above, is:
y = -(1/a)*x + c
In this case, we start with the line:
y = 5*x + 23
Then the family of perpendicular lines to this one, will be like:
y = (-1/5)*x + c
Where c can be any real number.
Now, we also want this line to pass through (-40, 2012)
This means that when x = -40, the value of y must be 2012
We could replace these values in our equation above and solve it for c.
2012 = -(1/5)*(-40) + c
2012 = 40/5 + c
2012 = 8 + c
2012 - 8 = c = 2004
Then the equation is:
y = -(1/5)*x + 2004.
Two sides of a rectangle have lengths 5 and 8. What is the perimeter
Answer: 26
Step-by-step explanation: 2 sides are 8 and 2 sides are 5. 5 plus 5 equals 10 and 8 plus 8 equals 16. Finally, 16 plus 10 is 26. Hope this helps! And I would really appreciate getting brainliest if I get it it right!
Answer
i think 1600
Step-by-step explanation:
it maybe 1600 bc if you times 5 and 8 two times you get that answer i am not smart but maybe
Gary wants to buy a video game with a selling price of 48 on sale for 50% off the sales tax in his state is 4.5% how much will Gary have to pay in all?
Answer:
$25.08
Step-by-step explanation:
48/2= 24(50% of 100% simplifies to 1/2)
24(0.045)=1.08
24 + 1.08 = 25.08
x/3 - 1/2 = 10
show work
Answer:
x = 63/2
Step-by-step explanation:
x /3 = 21 /2
3 . x/3 = 3 . 21/2
x = 63 /2
In an on-line survey, a school learns that 77 of 100 parents prefer to receive the newsletter electronically. How many paper newsletters would the school estimate are needed if there are 650 parents?
The number of paper newsletters the school needed is given by the equation A = 149.5
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of paper newsletters the school needed be A
Now , the equation will be
The percentage of parents who prefers newsletters electronically = 77 %
So , percentage of parents who prefers paper newsletters = 100 % - 77 %
The percentage of parents who prefers paper newsletters = 23 %
The total number of parents = 650
So , the number of paper newsletters the school A = percentage of parents who prefers paper newsletters x total number of parents
Substituting the values in the equation , we get
The number of paper newsletters the school A = ( 23/100 ) x 650
The number of paper newsletters the school A = 149.5
Therefore , the value of A is 149.5
Hence , the equation is A = 149.5
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What is the gradient of the blue line?
Answer:
gradient = - 5
Step-by-step explanation:
Calculate the gradient (slope) m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 5) and (x₂, y₂ ) = (- 1, 0) ← 2 points on the line
m = [tex]\frac{0-5}{-1+2}[/tex] = [tex]\frac{-5}{1}[/tex] = - 5
Which expression is represented by 12^6?
A. 12 × 6
B. 126
C. 6 × 6 × 6 × 6 × 6 × 6 × 6 × 6 × 6 × 6 × 6 × 6
D. 12 × 12 × 12 × 12 × 12 × 12
Answer:
D
Step-by-step explanation:
12*12*12*12*12*12= 2985984
12^6= 2985984
Answer:
You have to use the formula 12>6
Step-by-step explanation:
12x6=x
126
12x`12x12x12x12x12x12x12 add all the sums up and get yuor answer.
Thanks
- The output of a function is 3 less than 6 times the
input. Find the input when the output is 15.
Answer:
(15+3)/6= the input
18/6= 3
since the output is three less than 6x the input, you need to add three. and if the output is 6 times the input after adding three, you have to divide by 6 to find out what the input originally was. you can check it by doing:
6*3= 18
and 18-3= 15 so it checks out.
Step-by-step explanation:
I hope this helps :)
The double number line shows that 5 kilograms of avocados cost $9 dollar .
Based on the ratio shown in the double number line, what is the cost for 1 kilogram of avocados?
Answer:
hii hope it helps
Step-by-step explanation:
sorry for these pics
1. What is the smallest decimal in hundredths rounded to 0.5?
Answer: 0.45!
Step-by-step explanation:
The smallest decimal in hundredths rounded to 0.5 is 0.45 and this can be determined by using the rules of rounding off to the nearest hundredths.
Given :
Number - 0.5
Rules for rounding off to the nearest hundredths are:
Rule 1 - When a number is rounded off to the nearest hundred remember that the digit at tens place is in between 0 to 4 then replace that digit by 0.
Rule 2 - When a number is rounded off to the nearest hundred remember that the digit at units place is greater than or equal to 5 then replaced tens place digit by 0 and hundreds place digit is increased by 1.
So, according to the rules, the smallest decimal in hundredths rounded to 0.5 is 0.45.
For more information, refer to the link given below:
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A bottle contains 15 marbles: 9 are white and 6 are green. What is the
probability of picking a white?
Answer: 3/5
Step-by-step explanation:
Fist find out how many whites are there and divide it by the total to find the probability.
9/15 simplify it to 3/5
How do you solve this?
Answer:
24 square root of 5
Step-by-step explanation:
Do you need the steps?
Answer:
22.63
Step-by-step explanation:
direct method through calculator
I NEED HELP ASAP PLEASE DONT JUST TYPE FOR POINTS ACTUALLY HELP MEE
Answer:
i think it's A but don't quote me on it
Step-by-step explanation:
Answer:
D.
Step-by-step explanation:
The number of pages in an Algebra 1 book is 99 less than the number of pages in a gemomerty book. Write and solve an equation to find the number n of pages in the geomerty book
Answer:
n = a + 99
Step-by-step explanation:
Given that :
a = number of pages in algebra book 1
n = number of pages in geometry book
a = n - 99
The number, n of pages in a geometry book is ;
Pages in algebra book = (pages in geometry book - 99)
a = n - 99
a + 99 = n - 99 + 99
a + 99 = n
MARK BRAINLIEST!!!
A teacher has two daughters that are now older. But when they were little, they had a lot of toys! They had about 100 more frozen toys than mermaid toys (which we'll call r for "regular")Which expression shows how many Frozen toys they had?
r+100
100
r-100
100r
Answer:
r-100
Step-by-step explanation:
R-100 R-100 R-100
Four puzzles that were manufactured contained a total of 420 pieces. The next 6 puzzles contained a total of 630 pieces. If the relationship between the number of puzzles and the total number of puzzle pieces continues to be proportional, which could be the missing entries in the table?
Answer: B.) 8 Puzzles and 840 pieces
98 = 3y - 4 whats tha answer
Answer:
y = 34
Step-by-step explanation:
Answer:
34
Step-by-step explanation:
you would add 4 to both sides and get
102=3y
then you would divide by three and get
34=y
John works for a company that cuts down dead trees for the city. He needs to determine the height of the tree to ensure safety. He chooses a point 10 m from the base of the tree. From this point, the angle of elevation to the top of the tree is 46°. Determine the height of the tree to the nearest tenth of a meter.
Answer:
10.4m
Step-by-step explanation:
We solve the above question using the Trigonometric function of Tangent.
The formula is given as:
tan θ = Opposite/Adjacent
θ = Angle of Elevation = 46°
Opposite = Height of the tree = x
Adjacent = Distance from the base of the tree = 10m
Hence:
tan 46 = x/10
Cross Multiply
x = tan 46 × 10
x = 10.355303138m
Approximately to the nearest tenth = 10.4m
8, 6, 4, 2, 0, ...
The first 5 terms of a linear sequence are shown above.
What is the 100th term in the sequence?
9514 1404 393
Answer:
-190
Step-by-step explanation:
The n-th term of an arithmetic (linear) sequence is given by ...
an = a1 +d(n -1)
where a1 is the first term (8) and d is the common difference. We note that each term is 2 less than the one before, so the common difference is -2.
an = 8 -2(n -1)
Then the 100th term is ...
a100 = 8 - 2(100 -1) = 8 -198 = -190
The 100th term is -190.
2:4:2 in simplest form ratio
Answer: 1 : 2 : 2
Step-by-step explanation:
2 : 4 : 2 divided by 2 is 1 : 2 : 2 so they're equivalent.
An ice cream shop offers a choice of three types of cones and 31 flavors of ice cream a customer gets to choose a cone and a type of ice cream how many events are described
Answer:
2 events are described.
Step-by-step explanation:
Because only three types of cones and 31 flavours of ice cream.
A biology test is worth 100 points and has 36 questions.
a. Multiple-choice questions are worth 2 points each and essay questions are worth 6 points each. How many questions of each type are on the test?
b. Your friend says that it is possible for the multiple-choice questions to be worth 4 points each. Is your friend correct? Explain.
Answer:
(a) 7 essays and 29 multiple questions
(b) Your friend is incorrect
Step-by-step explanation:
Represent multiple choice with M and essay with E.
So:
[tex]M + E= 36[/tex] --- Number of questions
[tex]2M + 6E = 100[/tex] --- Points
Solving (a): Number of question of each type.
Make E the subject of formula in [tex]M + E= 36[/tex]
[tex]E = 36 - M[/tex]
Substitute 36 - M for E in [tex]2M + 6E = 100[/tex]
[tex]2M + 6(36 - M) = 100[/tex]
[tex]2M + 216 - 6M = 100[/tex]
Collect Like Terms
[tex]2M - 6M = 100 - 216[/tex]
[tex]-4M = - 116[/tex]
Divide both sides by -4
[tex]M = \frac{-116}{-4}[/tex]
[tex]M = 29[/tex]
Substitute 29 for M in [tex]E = 36 - M[/tex]
[tex]E = 36 - 29[/tex]
[tex]E = 7[/tex]
Solving (b): Can the multiple questions worth 4 points each?
It is not possible.
See explanation.
If multiple question worth 4 points each, then
[tex]2M + 6E = 100[/tex] would be:
[tex]4M + xE = 100[/tex]
Where x represents the number of points for essay questions.
Substitute 7 for E and 29 for M.
[tex]4 * 29 + x * 7 = 100[/tex]
[tex]116 + 7x = 100[/tex]
Subtract 116 from both sides
[tex]116-116 + 7x = 100 -116[/tex]
[tex]7x = 100-116[/tex]
[tex]7x = -16[/tex]
Make x the subject
[tex]x = -\frac{16}{7}[/tex]
Since the essay question can not have worth negative points.
Then, it is impossible to have the multiple questions worth 4 points
Your friend is incorrect.
The test contained 29 multiple choice questions and 7 essay questions.
Let x represent the number of multiple questions and y represent the number of essay questions.
Given that there are a total of 36 questions, hence:
x + y = 36 (1)
Also, the test is worth a total of 100 points, hence:
2x + 6y = 100 (2)
Solving equation 1 and 2 simultaneously gives:
x = 29, y = 7
Therefore the test contained 29 multiple choice questions and 7 essay questions.
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kristen is building a pattern using triangles, the table shows the number of triangles in the first 4 terms of that pattern. which formula describes the number of triangles in the nth term of the pattern.
A. n=t+2
B.n=t+3
C. n=2t-1
D. n=2t + 3
Answer:
its C. im doing test to i saw different page
Step-by-step explanation:
diff pge
which statement and reason best complete the proof
Answer:
Segment EG ≅ segment EG by the reflexive property.
Step-by-step explanation:
In the diagram given, already, two angles (<H and <HEG) of ∆HEG has been stated to be equal to two corresponding angles (<F and <FGE) of ∆FGE.
To prove that ∆HEG is congruent to ∆HEG by the Angle-Angle-Side Congruence Theorem, we need to state that they also have one corresponding side that is congruent.
Therefore, the statement and reason that will complete the proof would be:
Segment EG is congruent to segment EG by the reflexive property.
Both triangles share the same segment, EG. This completes the proof.
NEED ANSWER ASAP PLEASE!! WILL GIVE BRAINLIEST
The number of weekly social media posts varies directly with the square root of the poster's age and inversely with the cube root of the poster's income. If a 16-year-old person who earns $8,000 makes 64 posts in a week, what is the value of k?
Answer:
k= 320
.................
target sells sweaters and sneakers in the ratio 1:3.The store sold 9 sweaters yesterday.How many sneakers were sold?
Answer: 27
Step-by-step explanation: since the ratio is 1:3 u mutiply
1 by 9 which equals nine and then u multiply 3 by 9 and u get 27. This should be right I am sorry if it isn't.
A florist was looking at her flower order. The ratio of roses to sunflowers was 4 to 9. When she was done, she realized there were 65 MORE sunflowers than roses. How many of each flower was there?
Answer:
[tex]52[/tex] roses and [tex]117[/tex] sunflowers
Step-by-step explanation:
Since the ratio of roses to sunflowers is [tex]4:9[/tex], we can represent how many there are of each as [tex]4x[/tex] and [tex]9x[/tex], respectively. We know that there are [tex]65[/tex] more sunflowers than roses, so we can set up the following equation to solve for [tex]x[/tex]:
[tex]4x+65=9x[/tex]
Solving for [tex]x[/tex], we get:
[tex]4x+65=9x[/tex]
[tex]4x+65-4x=9x-4x[/tex] (Subtract [tex]4x[/tex] from both sides of the equation to isolate [tex]x[/tex])
[tex]65=5x[/tex] (Simplify)
[tex]5x=65[/tex] (Symmetric Property of Equality)
[tex]\frac{5x}{5}=\frac{65}{5}[/tex] (Divide both sides of the equation by [tex]5[/tex] to get rid of [tex]x[/tex]'s coefficient)
[tex]x=13[/tex] (Simplify)
Therefore, since [tex]x=13[/tex], we know that there are [tex]4x=4*13=52[/tex] roses and [tex]9x=9*13=117[/tex] sunflowers. Hope this helps!