Inequalities are used to represent unequal expressions
The inequality that represents the number of seeds her apple could have is [tex]\mathbf{A < 6}[/tex]
Represent the fruits with the first letter.
So, we have:
[tex]\mathbf{W =3A - 1}[/tex] --- watermelon is one less than three times apple
[tex]\mathbf{O =5A - 13}[/tex] --- orange is thirteen less than five times apple
[tex]\mathbf{W > O}[/tex] --- the seeds in watermelon exceeds orange
Substitute expressions for W and O in [tex]\mathbf{W > O}[/tex]
[tex]\mathbf{3A - 1 > 5A - 13}[/tex]
Collect like terms
[tex]\mathbf{13- 1 > 5A - 3A}[/tex]
[tex]\mathbf{12 > 2A}[/tex]
Divide both sides by 2
[tex]\mathbf{6 > A}[/tex]
Rewrite as:
[tex]\mathbf{A < 6}[/tex]
The inequality that represents the number of seeds her apple could have is [tex]\mathbf{A < 6}[/tex]
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hELPPP pls quick thanks <3
Answer: can you show the selections?
Step-by-step explanation:
12. In the given figure, RS is parallel to PQ, If RS = 3 cm, PQ = 6 cm and ar(∆TRS) = 15cm³, then ar (∆TPQ) = ? (a) 70 cm² (b) 58 cm² (c) 60 cm² (d) 64 cm²
[tex]\large\underline{\sf{Solution-}}[/tex]
Given that,
In triangle TPQ,
RS || PQ, RS = 3 cm, PQ = 6 cm, ar(∆ TRS) = 15 sq. cmAs it is given that, RS || PQ
So, it means
⇛∠TRS = ∠TPQ [ Corresponding angles ]
⇛ ∠TSR = ∠TPQ [ Corresponding angles ]
[tex]\rm\implies \: \triangle TPQ \: \sim \: \triangle TRS \: \: \: \: \: \: \{AA \}[/tex]
Now, We know
Area Ratio Theorem,
This theorem states that :- The ratio of the area of two similar triangles is equal to the ratio of the squares of corresponding sides.
[tex]\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{ar( \triangle \: TRS)} = \dfrac{ {PQ}^{2} }{ {RS}^{2} } [/tex]
[tex]\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15} = \dfrac{ {6}^{2} }{ {3}^{2} } [/tex]
[tex]\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15} = \dfrac{36 }{9} [/tex]
[tex]\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15} = 4 [/tex]
[tex]\rm\implies \:ar( \triangle \: TPQ) = 60 \: {cm}^{2} [/tex]
Simplify the expression to a + bi form:
(4 – 3i) - (9 - 71)
Answer:
66-3i
Step-by-step explanation:
(4-3i)-(9-71)
(4-3i)-(-62)
(4-3i)-62
66-3i
Tarek will spend at most $26 on gifts. So far, he has spent $14. What are the possible additional amounts he will spend?
Use c for the additional amount (in dollars) Tarek will spend.
Write your answer as an inequality solved for c.
Answer:
c<$12
Step-by-step explanation:
$26-$14>c
$12>c
c<$12
Answer:
14 + c ≤ 26
Step-by-step explanation:
Since Tarek can spend at most $26, then the symbol to represent this relationship/inequality is ≤ (less than or equal to). He's already spent $14, so 14 plus an additional amount should be less than or equal to 26!
Find the area I will make you Brainliest (show working)
Answer:
Step-by-step explanation:
5 * 3 = 15
8 * 9 = 72
Add
Answer = 87 cm^2
PLS HELP ME ASAP
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1.What is the probability of rolling an odd number on a 6 sided die
2.Eric and 3 friends took turns riding the Beast with each other at Kings Island. If they rode with all others exactly once, how many times did they ride it?
3. What is the area of a circle with a radius of 4mm? Use 3.14 for pi.
4. Find the median of the following data set.
6.2, -5.9, 2.4, 1.8, 8.7
5. What is the slope from (-1,2) to (2,-2)?
6. How many different ways can you write the letters a, b and c in order from left to right?
Answer:
1. 3/6 or 3 out of 6
2. 6 times
3. 50.24mm²
4. 2.4
5. -4/3
6. 6 i think, but i'm not positive on this one
have a wonderful day :)
Savannah divided 1/2 of a liter of plant fertilizer evenly among some smaller bottles. She put 1/4 of a liter into each bottle. How many smaller bottles did Savannah fill?
Answer:
2
Step-by-step explanation:
find how many fourths are in a half:
1/2 = 2/4
if there's 2/4 in a half, then she filled two bottles
have a wonderful day :)
Zhanae Gregory bought a total of 25 books and CDs during a yard sale for a total of $65.50. If books cost $1.50 each and CDs cost $5 each, how many books did she buy?
Answer:
17 books
Step-by-step explanation:
Please help, I’ll mark your answer as brainliest!
Answer:
1,234 thats the answer
PLS HELP GIVING BRAINLIEST!
Given f(x)=3x^2+x−5, find: f(−1)
Answer:
-3
Step-by-step explanation:
its very easy correct me if im wrong brainliest btw
6.5 x 1/9 please help
Answer:
13/18
Step-by-step explanation:
6.5 · 1/9 = 6 5/10 · 1/96 5/10 · 1/9 = 6 1/2 · 1/96 1/2 · 1/9 = 13/2 · 1/913/2 · 1/9 = 13/18Therefore, 6.5 · 1/9 = 13/18.
how many eighths are in 1/3?
Answer:
1/3 = 2 2/3 eighths.
Step-by-step explanation:
There are 2(2/3) eights in 1/3.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Eighths = 1/8
Now,
(1/8)x = 1/3
Solve for x.
x = 1/3 x 8/1
x = 8/3
x = 2(2/3)
Thus,
There are 2(2/3) eights in 1/3.
Learn more about expressions here:
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okay now i rlly need this done man
Answer:
x=9.5
EDIT: Its actually x=6Step-by-step explanation:
Brainliest?PLEASE?Answer:
4
8
+
2
{\color{#c92786}{\frac{4x}{8}}}+2
84x+2
2
+
2
Step-by-step explanation: please mark brainliest
Help please thank you so much!
Answer:
Answer: 20
Step-by-step explanation:
2^2-4=0.25
5/0.25=20
how do i write 5z in expanded notation
5/7 divided by 2/7. Divide
Answer:
2.5 am i right
please mark me as brainliest
Answer:
2.5 or 35/14
Step-by-step explanation:
-65 is 5 times a product of 5 and a number
Answer:
Step-by-step explanation:
=-65*5
=-325
Skate World offers birthday parties for a fee of $130 plus $3 per person. If you can spend no more than $190 on your party, what is the maximum number of people who can attend?
A) 20
B) 12
C) 14
D) 15
Answer:
a is the answer
Step-by-step explanation:
here
The sum of twice a number and 6
Answer:
The answer to your question is 4
The sum of twice a number and 6 is 4.
will mark brainliest
Answer:
148 deger ❤❤❤❤❤❤❤❤❤❤
32 meter
Let f(x)=5x^4 and g(x)=e^2x+x. If h is the function defined by h(x)=f(g(x)), which of the following gives a correct expression for h′(x)?
The values of h'(x) is h'(x) = 20 [tex](e^{2x} + x) ^{3}[/tex] (2[tex]e^{2x}[/tex] + 1 ).
Option C is the correct answer.
Given,
f(x)=5x^4 and g(x)=e^2x+x.
If h is the function defined by h(x)=f(g(x)),
We need to find h′(x).
What is the differentiation formula for the following?We have,
dx/dx = 1
d[tex]x^{n}[/tex]/dx = n[tex]x^{n-1}[/tex]
d[tex]e^{x}[/tex]/dx = [tex]e^{x}[/tex]
d[tex]e^{n}[/tex]/dx = [tex]ne^{n}[/tex]
d(cx)/dx = c(dx/dx) = c
We have,
- f(x)=5[tex]x^{4}[/tex] ______(1)
- g(x)=[tex]e^{2x}[/tex]+x ______(2)
- h(x)=f(g(x)) _______(3)
Now,
h(x) = f ( [tex]e^{2x}[/tex]+x )
From (1)
h(x) = 5[tex](e^{2x} + x) ^{4}[/tex] ______(4)
Now,
Differentiate (4)
h'(x) = 5 d[tex](e^{2x} + x) ^{4}[/tex]/dx
h'(x) = 5 x 4 [tex](e^{2x} + x) ^{3}[/tex] d [tex](e^{2x} + x)[/tex] / dx
h'(x) =20 [tex](e^{2x} + x) ^{3}[/tex] ( d[tex]e^{2x}[/tex]/dx + dx/dx )
h'(x) = 20 [tex](e^{2x} + x) ^{3}[/tex] (2[tex]e^{2x}[/tex] + 1 )
Thus the values of h'(x) is h'(x) = 20 [tex](e^{2x} + x) ^{3}[/tex] (2[tex]e^{2x}[/tex] + 1 ).
Option C is the correct answer.
Learn more about differentiation here:
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cho tập hợp A=(2;7)và tập hợp B=[7;10]tìm tập hợp a∩B
sorry po di ko ma intindihan
Step-by-step explanation:
sorry po
×/2=y/3; y/4=z/4 và x+2y-z=10
Plz plz help fast
I will mark Brainlyist
Answer:
forgive me i need points
Step-by-step explanation:
how many grams of paint are needed to color the rectangular box below, if 5 grams of the paint are needed to color one small cube.
Answer: 210 grams
Step-by-step explanation:
Given,
One cube= 5 grams of paint
According to question,
There are= (9*2)+(6*4) cubes
= 18+24 cubes
=42 cubes
Total paint needed= 5*42 grams
=210 grams(answer)
Please help me with this question
PLS HELP ASAP WILL MARK BRAINLEIST
Answer:
a^8
I hope this is the correct answer
have a great day
Answer:
a³
Step-by-step explanation:
(a².a³.(a-¹)²)
a²+³.a-¹×2
a⁵.a-²
a⁵+(-²)
a⁵-²
a³
Melinda put 64 pieces of cake on a table. She placed them in 8 rows with the same number in each row. Each row had an equal number of two flavors of cake. How many pieces of each flavor were in one row?
( ugh math)
Answer:
There were 4 pieces
Step-by-step explanation:
The perimeter of a rectangular field is 358 m.
If the length of the field is 96 m, what is its width?
Answer: 83 meters
Step-by-step explanation:
The perimeter of a rectangle is 2l + 2w, where l is the length and w is the width.
2(96) + 2w = 358
192 + 2w = 358
2w = 166
w = 83
Hope it helps :) and let me know if you want me to elaborate.
Dilations of a triangle are congruent to the original triangle.
Answer:
origanal
Step-by-step explanation:
origanaol