Answer:
1.50x + 2.25y ≤ 30
Step-by-step explanation:
Hi, let’s say that 'y' represent the tablecloths.
So, we have to write an inequality:
The product of the number of balloons (x) and the cost of each one (1.50) plus the product of the number of tablecloths (y) and the cost of each tablecloth (2.25) must be less or equal to Rosie's budget (30)
Mathematically speaking:
1.50x + 2.25y ≤ 30
Feel free to ask for more if needed or if you did not understand something
Answer: The inequality can be written as 1.5x + 2.25y ≤ 30
Step-by-step explanation: What Rosie needs is an expression that shows the highest she can spend on tablecloths and balloons. If the question states that she cannot spend more than 30 dollars, then it simply means she can either spend a maximum of 30 dollars, OR any amount below 30 dollars. So what she needs is an inequality that shows her spending as being less than or equal to 30.
Let the balloons be represented by letter x and the tablecloths be represented by the letter y. If each balloons cost 1.50 dollars, then the total cost of balloons equals 1.5 times x or simply 1.5x. Likewise, if each tablecloth cost 2.25, then the total cost of tablecloths shall be 2.25y.
The possible number of balloons and tablecloths that she can buy based on the conditions given can be expressed as follows;
1.5x + 2.25y ≤ 30
Natalie draws an acute triangle.
Which attributes describe her triangle?
Select each correct answer.
exactly one acute angle
exactly three acute angles
exactly 2 acute angles
three straight sides
polygon
one right angle
Answer:
Exactly three acute angles
Three straight sides
Polygon
Step-by-step explanation:
Exactly three acute angles because that is the definition of an acute triangle.
Three straight sides, because that is the definition of a triangle.
Polygon because a triangle is a polygon.
Selecting 5 out of the 13 students will ride in a car instead of a van.
A) Permutation
B) Combination
C) Circular permutation
Answer:
combination
Step-by-step explanation:
permutation is when there is a specific order, whereas combination is when they are not in any specific pattern (in this case, 5/13 students, not in any particular order. just 5.
I don't want to explain circular permutation right now (it's difficult to explain), but it's not it from my knowledge
The number of ways selecting 5 out of the 13 students will ride in a car instead of a van is 1287.
The way of selecting 5 out of the 13 students will ride in a car instead of a van is evaluated by the combinations.
We consider the group of 5 students can be selected to ride in a car instead of a van.
Thus, for selecting a random group of the data from the universal data, we have to apply combinations to evaluate it.
Therefore, the ways can be formulated as:
[tex]^{13}C_5=\dfrac{13!}{5! \times 6!}\\=1287\;\rm{ways}[/tex]
Thus, the number of ways selecting 5 out of the 13 students will ride in a car instead of a van is 1287.
To know more about the combinations, please refer to the link:
https://brainly.com/question/10699405
helpppppp pros only helppppppp me plzzzzzzzzzzz ill reporte you if you do bad qweshtones
Answer:
( w-7) (w+5)
Step-by-step explanation:
w^2 -2w - 35
What 2 numbers multiply to -35 and add to -2
-7*5 = -35
-7+5 = -2
( w-7) (w+5)
Answer:
(w + 5) • (w - 7) = A
Step-by-step explanation:
factoring w2-2w-35
The first term is, w2 its coefficient is 1 .
The middle term is, -2w its coefficient is -2 .
The last term, "the constant", is -35
Step-1 : Multiply the coefficient of the first term by the constant 1 • -35 = -35
Step-2 : Find two factors of -35 whose sum equals the coefficient of the middle term, which is -2 .
-35 + 1 = -34
-7 + 5 = -2 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -7 and 5
w2 - 7w + 5w - 35
Step-4 : Add up the first 2 terms, pulling out like factors :
w • (w-7)
Add up the last 2 terms, pulling out common factors :
5 • (w-7)
Step-5 : Add up the four terms of step 4 :
(w+5) • (w-7)
(w + 5) • (w - 7) = 0
Determine the projection of w onto v. U=9i-6j, v= -3i-2j, w=19i+15j
Answer:
w·v = -87
Step-by-step explanation:
The projection of a vector on another vector is given by the dot product between the vectors.
Thus, you calculate the dot product between w and v:
[tex]\vec{w}=(19,15)\\\\\vec{v}=(-3,-2)\\\\\vec{w}\cdot \vec{v}=(19,15)\cdot (-3,-2)\\\\\vec{w}\cdot \vec{v}=-57-30=-87[/tex]
So, the projection of w on v is -87
A fire truck parks 16 feet away from a building. The fire truck extends its ladder 30 feet to the very top of the building. How tall is the building? will give brainlist
❤️
Answer:
46 feet high!
Step-by-step explanation:
Henry and five friends are going to the movies. Tickets cost $8 each. Henry used this model to help him find the total cost of the tickets. Which shows one way to break apart the array to find the product?
Answer:
(7 x 5) + (7 X 3) = 7 X 8 or (7 x 4) + (7 X 4) = 7 X 8
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one.
Please have a look at the attached photo.
My answer:
The total number of people: 7 Ticker costs: $8 each=> the total cost = the total number of people * the ticket cost each
= 7 X 8
Hence, he can use this way to break apart the array to find the product:
(7 x 5) + (7 X 3) = 7 X 8 or (7 x 4) + (7 X 4) = 7 X 8
Hope it will find you well.
Which equation represents the given statement "Eight times a number minus 2 equals 33
more than the number." *
Answer:
8N-2=33+N
Step-by-step explanation:
Find the area
Please help me thank you!
The science club sponsors is ordering caps and shirts for the boys and girls in the science club. There are 45 science club members. If the caps in some packages of 3 and the shirts come in packages of 5 what is the least number of packages of caps and church that will need to be ordered
Answer:
The least number of package of cap required is 15, while that of shirt is 9
Step-by-step explanation:
Total number of members = 45
The cap comes in package of 3
The shirt comes in package of 5
The least number of the package of caps they need to order is =?
Since they're 45 in numbers, we can divide 45 by 3 to know the total number of package required to go round.
Number of package of caps = 45 / 3
Number of package of caps = 15
We can also go ahead and find the number of package for shirt required by using the same method, only this time we'll divide it by 5 instead of 3
Number of package for shirt = 45 / 5
Number of package for shirt = 9
Therefore, the least number of package of caps required is 15 while that of shirt is 9
find the value of x in the following..... 3^x = 8
Answer:
x ≈ 1.893 ( to 3 dec. places )
Step-by-step explanation:
Using the rule of logarithms
log [tex]x^{n}[/tex] = n logx
Given
[tex]3^{x}[/tex] = 8 ( take the log of both sides )
log[tex]3^{x}[/tex] = log8, that is
xlog3 = log8 ( divide both sides by log3 )
x = [tex]\frac{log8}{log3}[/tex] ≈ 1.893
What is the value for x when solving the equation –x + (–1) = 3x + (–5) using alegbra tiles?
Answer:
x=1
Step-by-step explanation:
just use this app called photomath its free on apple and gives you answers.
Answer: x = 1
Step-by-step explanation:
–x + (–1) = 3x + (–5)
−x−1−3x=3x−5−3x
−4x−1=−5
Add 1 to both sides.
−4x−1+1=−5+1
−4x=−4
Divide both sides by -4.
x = 1
Hope this helps :)
A box is laid on its side and the white label wrapped around the box covers 30% of the lateral surface area of the box. Find the length x of the box.
Answer:
6
Step-by-step explanation:
Maria está en el piso 6 y quiere ir al sótano 2. Cuantos pisos bajará?
Answer: 8
Step-by-step explanation:
Ella tiene que bajar los 6 pisos, mas 2.
6+2=8
a. 9
b. 10
c. 16
d. 17
What is the equation of a line that is parallel to (1/2)y + x = 4 that passes through the point (0,14)?
Answer:
i cant answer that i'm only in 8th
PLS HELP ME
M^2- 7m+1 ?
Answer:
Step-by-step explanation:
factorize the given equation like this
m^2-7m+1
m^2-2m+1-5m
(m-1)^2-([tex]\sqrt{5m}[/tex])^2
(m-1+[tex]\sqrt{5m}[/tex])(m-1-[tex]\sqrt{5m}[/tex])
Unit 6. 5) Please help. Which equation shows the correct use of the addition rule to determine the probability that a randomly selected show had animals in it or aired more than 10 times?
Answer:
D.) 0.7+0.4−0.2=0.9
Which expression has the same value as 5(4x+4)
Answer: 20x + 20
Step-by-step explanation: In this problem, the 5 "distributes" through the parentheses, multiplying by each of the terms inside.
So we have 5(4x) + 5(4) which simplifies to 20x + 20.
what is absolute diviation
It’s the average distance between each data value and the mean.
Answer:
one measure of variability; the average of how much the individual scores of a data set differ from the mean of the set. - abbreviation: MAD
Step-by-step explanation:
What is the discriminant of the quadratic equation 0 = –x2 + 4x – 2?
–4
8
12
24
Answer:
8
Step-by-step explanation:
0 = –x^2 + 4x – 2
This is of the form
ax^2 +bx +c
a = -1 b = 4 x = -2
The discriminant is
b^2 -4ac
4^2 - 4(-1)(-2)
16 - 8
8
can someone help? 25 points
Answer:
Triangle A: acute
Triangle B: acute
Triangle C: obtuse
Triangle D: right
Step-by-step explanation:
acute= less than 90 degrees each angle
obtuse=more than 90 degrees for one angle
right=equal exactly 90 degrees for one angle
Answer:
A=Acute
B. Acute
C.Obtuse
D.Right
Step-by-step explanation:
a,and b, and are acute becuase there angles are less than 90 degrees.
d is obtuse beucase the angleismore than 90 degrees
D is right beucase the angle is 90 degrees and it hasthat square in the corner.
You have $1000 to invest in an account and need to have $2000 in one year. What interest rate would you need to have in order to have this if the amount is compounded weekly? Round your answer to the nearest percent.
Answer:
69.8%
Step-by-step explanation:
The weekly interest rate is computed using 52 weeks a year as per standard investment practice.
FV=PV*(1+r/52)^n*52
FV is the future value of $2000
PV is the present worth of $1,000
r is the unknown
n is the number of years which is 1
2000=1000*(1+r/52)^1*52
divide both sides by 1000
2000/1000=(1+r/52)^52
divide the index of the both sides by 52
(2000/1000)^(1/52)=1+r/52
1.013418991 =1+r/52
r/52=1.013418991 -1
r/52=0.013418991
r=0.013418991 *52=69.8%
Answer:
4%
Step-by-step explanation:
not really sure if thats right but i hopes it helps
Tennis great Roger Federer made 63% of his first serves in a recent season. When Federer made his first serve, he won 78% of the points. When Federer missed his first serve and had to serve again, he won only 57% of the points. Suppose you randomly choose a point on which Federer served. You get distracted before seeing his first serve but look up in time to see Federer win the point. What's the probability that he missed his first serve?
Sounds like a Bayes Theorem problem.
Events:
F: Roger makes his first serve. We'll write ~F for "not F".
P(F) = .63
P(~F) = 1 - .63 = .37
W: Roger wins the point. We don't know P(W) but we are given
P(W | F) = .78
P(W | ~F) = .57
We're asked for
P(~F | W)
The basic conditional probability theorem is
P(~F and W) = P(~F | W) P(W) = P(W | ~F) P(~F)
P(~F | W) = ( P(W | ~F) P(~F) ) / P(W)
We write
P(W) = P(W | F) P(F) + P(W | ~F) P(~F)
Substituting gives Bayes' Theorem:
P(~F | W) = ( P(W | ~F) P(~F) ) / ( P(W | F) P(F) + P(W | ~F) P(~F) )
We know all the parts so we substitute,
P(~F|W) = ( .57(.37) ) / (.78(.63) + .57(.37) ) = 0.30029901751388294
Let's call that 30%
Answer: 30%
Answer:
0.3
Step-by-step explanation:
We need to reverse this because we only know the outcome. P(A|B) = P(B|A) * P(A) / P(B), so P(B|A) is B given that A happens, P(A) in this case is the probability that he missed the first serve. P(B) is the probability of winning the point. P(B) = P(B|A') * P(A') + P(B|A) * P(A), which means P(B) is the probability of the point scored given that the serve was made multiplied by the probability of the serve being made plus the probability of B given that serve is missed multiplied by the probability that the serve is missed. This is 57% * 37% + 78% * 63%=0.21+0.49=0.7. So P(B)=0.7. P(B|A)*P(A)/P(B) would be 57% * 37% / 70% = 0.3. The probability that Federer missed his first serve given that he scored the point is 0.3.
You flip a coin and then roll a fair six-sided die. The coin lands heads-up and the die shows an even number.
help and thanks!!
Answer:
1/6
Step-by-step explanation:
If you're asking for the probability that the coin is heads and the die is even. Hope this helps :)
1/3*1/2= 1/6
Answer:
The answer is 1/6
Step-by-step explanation:
This is because the dice has 6 sides so the possibility of getting a even is 1/6
Suppose x,y and z are positive real numbers. Prove that x+z/y+z>xy if and only if x Question has also been attached...PLS HELP!!!
Let's manipulate the expression a little bit and see what we come up with: we have
[tex]\dfrac{x+z}{y+z}>\dfrac{x}{y} \iff \dfrac{x+z}{y+z}-\dfrac{x}{y}>0 \iff \dfrac{y(x+z)-x(y+z)}{y(y+z)}>0[/tex]
We can simplify the fraction as
[tex]\dfrac{xy+yz-xy-xz}{y(y+z)}=\dfrac{yz-xz}{y(y+z)}=\dfrac{z(y-x)}{y(y+z)}[/tex]
Since both [tex]y[/tex] and [tex]z[/tex] are positive, their sum will be positive as well. In other words, we can rewrite the fraction as
[tex]\underbrace{z}_{>0}\cdot\underbrace{\dfrac{1}{y}}_{>0}\cdot\underbrace{\dfrac{1}{y+z}}_{>0}\cdot (y-x)[/tex]
So, the sign of this fraction depends on the sign of [tex]y-x[/tex]. If its positive, then the whole fraction is positive (product of 4 positive factors). If it's negative, then the whole fraction is negative (product of 3 positive factors and a negative one).
In other words, we arrived to the desired conclusion:
[tex]\dfrac{x+z}{y+z}>\dfrac{x}{y}\iff y-x>0 \iff y>x[/tex]
please help meh
Juanita planted 20 rosebushes. 3/4
of the bushes were red.
The rest were white. How many bushes of each colour
did she plant? Show your work. Include a diagram.
please help me
There are 20 rosebushes, Juanita painted 3/4 of them.
So, we can convert 3/4 into a decimal or just multiply it by 20 to get the number of rose bushes that were painted red. Either way works.
Work:
20 x 3/4 = 15
3/4 = .75
.75 x 20 = 15
20 - 15 = 5
Therefore, 15 rosebushes were painted red and 5 rosebushes were painted white.
The value of a car is $30.000and depreciates at a rate of 6.5% each year.
What will the value of the car be after 5 years?
find interest and subtract it from 30,000
Can anyone pls help me out in dis!!!
Answer:
1. Since you have to square the number of units to use the Pythagorean theorem, the dashes represent the number you would use in the equation(without squaring afterwards) . So if its 3 units long, there are 9 dashes. (3^2=9)
2. You can't use the number of boxes because that wouldn't give you the correct answer for C, since all of the variables have to be squared first for the formula to work.
Step-by-step explanation:
NEED HELP! ASAP PLEASE!
Answer:
(0,-41)
Step-by-step explanation:
You can see that for each 9 units that x goes up, y goes up by 19. If we continue this pattern, it will take 2 more jumps of 9 units for the x value to be 0 or to reach the y intercept. Adding 19 twice to -79 gives -41. Hope this helps!
Can someone please help me? I keep losing points...
CORRECT ANSWERS ONLY PLEASE!!!!
Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Round your answer to the nearest cent.
Answer:
She will have $78,080 dólars in her account and $17,080 is the interest she will earn in 2 years
Step-by-step explanation:
i = prt
i = ($61,000)(.14)(2)
i = $17,080
$78,080
Answer:
$78080
Step-by-step explanation:
Using the given formula :
I = P × R × T
I = 61000 × 14/100 × 2
I = $17080
She have = 61000 + 17080 = $78080
