Answer:
118
Step-by-step explanation:
simple:
59.50 - 30.00=29.50
29.50 divided by 0.25= 118
in equation form
y=mx+b
59.50=0.25(x)+30.00
so the output (y) is the total money owed (59.50) and the 0.25 cents is the slope or unit rate and the 30.00 in this context is the monthly fee. So to find x= number of texts sent, you have to firstly get rid of the monthly fee, you subtract 30.00 by itself so it cancels out and you gotta do the same to the other side (the output), ( 59.50 - 30.00)= 29.50 and after that you have the remaining of 29.50=0.25x , now you have to divide 0.25 to both sides so 0.25/0.25=1 and basically 1x=x , now you divide 29.50/0.25=118 now you solved for x! The amount of texts sent=118
Will someone please help me solve this? A girl scout troop sold cookies. If the girls sold 5 more boxes the second week than they did the first, and if they doubled the sales of the second week for the third week to sell a total of 431 boxes of cookies, how many did they sell each week?
Answer:
104 boxes109 boxes218 boxesStep-by-step explanation:
Let b represent the number of boxes of cookies sold the first week. Then b+5 boxes were sold the second week, and 2(b+5) boxes were sold the third week. The total sold was ...
b +(b+5) +2(b+5) = 431
4b +15 = 431 . . . . . . simplify
b = (431 -15)/4 = 104 . . . . . subtract 15, divide by the coefficient of b
First week: b = 104
Second week: b+5 = 109
Third week: 2(b+5) = 218
This year the paradas had 127 floats . That was 34 fewer floats than last year how many floats were in the parade last year
Answer:
161
Step-by-step explanation:
We will use the math operation addition to find last year's number of floats. We know this year was 127 and was fewer than 34. So 127+34=last year's floats.
127+34=161
What is the probability that she would get heads two of the times?
There are 8 possibilities: HHH, HHT, HTH, HTT, THH, THT, TTH, TTT. Of these 4 have at least two heads. Assuming a fair coin, the probability of tossing at least two heads is 4/8 or 1/2. The Answer would probably be 3/8 though.
C) 3/8
Step-by-step explanation:The probability of heads is 1/2, so the probability of not-heads is 1/2.
Then the probability of 2 heads and a tails is (1/2)²·(1/2) = 1/8.
There are 3 choose 2 = (3·2)/(2·1) = 3 ways that the pair of heads may appear among the three tosses. Thus the probability of 2 heads in 3 tosses is ...
... 3·(1/8) = 3/8
_____
Or you can simply count the favorable outcomes among the possible outcomes:
TTT TTH THT THH HTT HTH HHT HHH . . . . 3 of 8 are favorable.
Rectangle R was dilated to form rectangle R' Which is the scale factor of the dilation? 5/4 , 2/1 5/2 5/1
Answer:
I'm not sure if those are the answer choices but your answer should be 5/2
Hope this helps
Step-by-step explanation:
Answer:
5/2
Step-by-step explanation:
What’s the area of PQSU? ______sq mi
Answer:
35 mi^2
Step-by-step explanation:
Area of parallelogram = base x height
7 x 5 = 35
Answer:
Area = 35 mi^2
Step-by-step explanation:
Area = b*h
The base is 7 mi
The height is 5 mi
Area = 7*5
Area = 35 mi^2
Linnea's company's revenue in 20172017 is \dfrac{36}{25} 25 36 ? of its revenue in 20162016. What is Linnea's company's revenue in 20172017 as a percent of its revenue in 20162016 ?
Answer:
144%
Step-by-step explanation:
We are told that Linnea's company's revenue in 2017 is 36/25 of its revenue in 2016..
To find the Linnea's company's revenue in 2017 as a percent of its revenue in 2016, we will have to figure out 36 is what percent of 25.
[tex]\text{Percent}=\frac{36}{25}\times 100[/tex]
[tex]\text{Percent}=36\times 4[/tex]
[tex]\text{Percent}=144[/tex]
Therefore, Linnea's company's revenue in 2017 is 144% of its revenue in 2017.
) The function g(x) = x^3 + (x + 1)^2
is used to create this table. Find the missing values. Must show work
for full credit.
Answer:
g(-1) = -1
g(1) =5
Step-by-step explanation:
g(x) = x^3 + (x + 1)^2
If x=-1 substitute this into the equation
g(-1) = (-1) ^3 + (-1+1)^2
g(-1) = 1+0 =-1
If x=1 substitute this into the equation
g(1) = (1)^3 + (1+1)^2 = 1+2^2 = 1+4 =5
Hi There!
--------------------------------------
Function: g(x) = x³ + (x + 1)²
Substitute: -1
Substitute: g(-1) = -1³ + (-1 + 1)²
Remember to follow PEMDAS.
Parenthese's: g(-1) = -1³ + (0)²
Exponents: g(-1) = -1 + 0
Simplify: g(-1) = -1
--------------------------------------
Function: g(x) = x³ + (x + 1)²
Substitute: 1
Substitute: g(1) = 1³ + (1 + 1)²
Remember to follow PEMDAS.
Parenthese's: g(1) = 1³ + (2)²
Exponents: g(1) = 1 + 4
Simplify: g(1) = 5
--------------------------------------
Hope This Helps :)
Decide whether the rates are equivalent. 126 points every 3 games 210 points every 5 games. What is the answer?
Step-by-step explanation:
To find whether the rates are equivalent or not, we will use proportions.
[tex]\frac{126\text{ points}}{3\text{ games}}=\frac{210\text{ points}}{5\text{ games}}[/tex]
Let us simplify our fractions.
[tex]42\frac{\text{ points}}{\text{game}}=42\frac{\text{ points}}{\text{game}}[/tex]
We can see that both unit rates are same, therefore, the rates are equivalent and equal to 42 points per game.
?Write the equation in standard form. Then factor the left side of the equation.? 2x2 = 28 – x A.) (2x + 7)(x – 4) = 0 B.) (2x – 7)(x + 4) = 0 C.) (2x + 4)(x + 7) = 0 D.) (2x – 4)(x + 7) = 0
2x² = 28 - x
2x²+x-28=0
2x²+8x-7x-28=0
2x(x+4)-7(x+4)=0
(x+4)(2x-7)=0
(2x-7)(x+4)=0
B.) (2x - 7)(x + 4) = 0
Geometry: The rectangle shown has a perimeter of 34cm and the given area. Its length is 5 more than twice it's width. Write and solve a system of equations to find the dimension of the rectangle
w - width
2w + 5 - length
w + w + (2w + 5) + (2w + 5) = 6w + 10 - perimeter
34 cm - perimeter
The equation:
6w + 10 = 34 subtract 10 from both sides
6w = 24 divide both sides by 6
w = 4 cm
2w + 5 = 2(4) + 5 = 8 + 5 = 13 cm
Answer: Width = 4cm, Length = 13cmWhich term applies when using the method shown to determine if two ratios are proportions
Answer:
I think that there is a part of your question that is missing maybe? What is the method shown?
Step-by-step explanation:
ASAP:::::: 75 POINTS TO THE BRAINLIEST!!!!!
Jordan is a manager of a car dealership. He has two professional car washers, Matthew and Arianna, to clean the entire lot of cars. Matthew can wash all the cars in 14 hours. Arianna can wash all the cars in 11 hours. Jordan wants to know how long it will take them to wash all the cars in the lot if they work together. Write an equation and solve for the time it will take Matthew and Arianna to wash all the cars together. Explain each step.
Answer:
t = 6 4/25 hours
Step-by-step explanation:
The formula to find out how long it takes them to do the job is
1/m + 1/ a = 1 /t
where m is the time for Matthew to do the job
a is the time for Arianna to do the job
and t is the time for them to do the job together
m = 14 hours
a = 11 hours
Substituting what we know
1/14 + 1/11 = 1/t
Multiplying by 154t (14*11*t) so we can clear the fractions
154t*(1/14 + 1/11) = 1/t* 154t
11t + 14t = 154
Combine like terms
25t = 154
Divide by 25
t = 154/25
t = 6 4/25 hours
A salesperson had $240,000 in sales last year, which is 60% of the sales she had this year. Which equation could be used to determine x, the salesperson's total amount in sales, in dollars, for this year?
Answer:
$400,000
Step-by-step explanation:
We can write a proportion to find the total amount using the information given. A proportion is two equivalent ratios set equal to each other.
[tex]\frac{60}{100}=\frac{240000}{x}[/tex]
We will cross multiply the numerator of one ratio with denominator of the other. And then solve for y.
60x=100(240,000)
60x=24,000,000
y=400,000
Answer:
$400,000
Step-by-step explanation:
which of the following is the coefficient in the algebraic expression x2 +16y ?
A.2
B. Y
C. X
D.16
Answer:
16
D is correct.
Step-by-step explanation:
Coefficient: The coefficient is a number front of variable.
[tex]Expression: x^2+16y[/tex]
In the given expression there are two terms
x² and 16y
First term: x²
The coefficient of x² is 1
Second term: 16y
The coefficient of 16y is 16
Hence, The coefficient of 16 of the given expression.
Victoria's spends 5/9 of her money on a flan and two chicken pies each chicken pie cost 1/6 as much as the fly Victoria has $24 left how much does Victoria spend and how much does a flan cost
Answer:
She spend $30
A flan cost $22.5
Step-by-step explanation:
Let's call x her initial money
After she bought the flan and two chicken pies she has $24.
She spend (5/9)*x in the flan and two chicken, then
x - (5/9)*x = 24
(4/9)*x = 24
x = 24*(9/4)
x = $54
She spend (5/9)*54 = $30
Let's call f the flan cost
Each chicken pie cost 1/6 as much as the flan, then:
30 = f + (1/6)*f + (1/6)*f
30 = (4/3)*f
f = 30*(3/4)
f = $22.5
Victoria had $54 in total. She spent $30 on the flan and two chicken pies altogether. The cost of the flan is $22.50.
The problem presents a situation where Victoria spends a fraction of her money on a flan and two chicken pies. Victoria has $24 left after these purchases. To solve this, we must first calculate the total amount of money Victoria had before making her purchases. Given that 5/9 of her money was spent on the flan and two chicken pies, and she has $24 remaining, we can set up the following equation where x represents the total amount of money:
x - (5/9)x = $24
This simplifies to:
(4/9)x = $24
By multiplying both sides of the equation by (9/4), we find the total amount of money Victoria had:
x = $24 \times (9/4)
x = $54
Victoria spent 5/9 of $54 on the flan and two chicken pies, which is:
(5/9) \times $54 = $30
If each chicken pie costs 1/6 the cost of the flan, we can let f represent the cost of the flan and (1/6)f the cost of each chicken pie. We have 2 chicken pies, so the equation would be:
f + 2 \times (1/6)f = $30
This simplifies to:
f + (1/3)f = $30
Combining like terms, we get (4/3)f = $30 which leads to:
f = $30 \times (3/4)
f = $22.50
So the cost of the flan is $22.50.
What store has the best deal? Tae Store:4 cans for $2.48, Be Cool Store:5 cans for $3.00 or Not Today Store:59 cents per can?
The length of a rectangular storage room is 3 feet longer than its width. if the area of the room is 40 square feet, find the width.
Answer:
Width of rectangular storage room= 5 feet.
Step-by-step explanation:
Let x be the width of storage room.
We have been given that the length of a rectangular storage room is 3 feet longer than its width. So the length of storage room will be x+3.
We are also given that the area of the room is 40 square feet.
Since the area of a rectangle is length times width.
[tex]\text{Area of rectangle}=\text{Length* Width}[/tex]
Let us substitute our given values in area formula.
[tex]40=x*(x+3)[/tex]
Upon distributing x we will get,
[tex]40=x^2+3x[/tex]
[tex]x^2+3x-40=0[/tex]
Now let us factor out our quadratic equation using splitting the middle term.
[tex]x^2+8x-5x-40=0[/tex]
[tex]x(x+8)-5(x+8)=0[/tex]
[tex](x+8)(x-5)=0[/tex]
[tex]x+8=0[/tex] or [tex]x-5=0[/tex]
[tex]x=-8[/tex] or [tex]x=5[/tex]
Since width can not be negative, therefore, the width of rectangle will be 5 feet.
Let us verify our answer.
Length of rectangular storage room is 3 feet longer than its width. So length will be 5+3=8.
Given: Area=40 square feet.
5*8=40.
Hence, width of rectangular storage room is 5 feet.
The width of the rectangular storage room, considering it is 3 feet shorter than the length and the area is 40 square feet, is 5 feet.
Explanation:The subject of this question is Mathematics and it is typically taught in Middle School. The problem describes a rectangle where the length is 3 feet longer than the width and the area is 40 square feet. The width is x and the length is x + 3 (since it is 3 feet longer). The area of a rectangle is defined as length times width, which can be expressed as 40 = x(x + 3), or x² + 3x - 40 = 0. This can be solved as a quadratic equation. The solutions of this equation are x = 5 and x = -8. But, since dimensions cannot be negative, the width of the room is 5 feet.
Learn more about Rectangular Area here:https://brainly.com/question/36027675
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A bag contains 56 marbles 7 red , 8 green , 11 yellow , 17 brown and 13 blues if a marble is chosen at random what is the probability that the marble is green
Answer:
The probability is 1/7 or 14.29%
Step-by-step explanation:
In order to find this, divide the number of marbles that are green by the total number.
8/56 = 1/7 = 14.29%
A Web music store offers two versions of a popular song. The size of the standard version is 2.1 megabytes (MB). The size of the high-quality version is 4.3 MB. Yesterday, there were 1290 downloads of the song, for a total download size of 4403 MB. How many downloads of the high-quality version were there?
Answer:
770 high-quality songs were downloaded
Step-by-step explanation:
A web music store offerst two versions:
Standard Version = 2.1 MBHigh-Quality Version = 4.3MBThere were 1290 for a total download size of 4403MB.
According to the information above, we have the following system of equations:
A + B =1290
2.1A + 4.3B = 4403
Where 'A' referst to the number of Standard songs and 'B' refers to the number of High Quality songs.
Solving the sistem of equations we get that:
A + B =1290 ⇒ A = 1290 - B
2.1A + 4.3B = 4403 ⇒ 2.1(1290 - B) + 4.3B = 4403
⇒ 2709 - 2.1B + 4.3B = 4403 ⇒ 2.2B = 1694 ⇒ B=770
Now, let's find the value of 'A':
A + B =1290 ⇒ A = 1290 - 770 ⇒ A = 520.
Therefore, 770 high-quality songs were downloaded.
A baker pays $0.90 per pound for sugar and $2.75 per pound butter. How much will the baher spend if he puts 8 pounds of butter and 10 pounds of sugar?
what is the perimeter of a rectangle with a length of 3x + 3 and a width of x - 1
Answer:
P = 8x+4
Step-by-step explanation:
The perimeter of a rectangle is found by using the formula
P = 2(l+w)
We know l = 3x+3 and
w = x-1
Substitute these values in
P =2(3x+3 + x-1)
Combine like terms
P = 2(4x+2)
Distribute the 2
P = 8x+4
How do you solve this problem?
What is the length of a radius of the circle represented by the equation x^2+y^2-4x+4y=0 ?
Will award brainliest for best explanation.
so, if you checked the link above, you know what we'll be doing, lemme run through it without much fuss.
[tex]\bf \stackrel{\textit{firstly some grouping}}{(x^2-4x)+(y^2+4y)=0}\implies (x^2-4x+\boxed{a}^2)+(y^2+4y+\boxed{b}^2)=0 \\\\[-0.35em] ~\dotfill\\\\ 2\cdot x\cdot \boxed{a}=4x\implies \boxed{a}=\cfrac{4x}{2x}\implies \boxed{a}=2 \\\\\\ 2\cdot y\cdot \boxed{b}=4y\implies \boxed{b}=\cfrac{4y}{2y}\implies \boxed{b}=2[/tex]
now, let's recall, we're simply borrowing from our very good friend Mr Zero, 0, so if we add whatever, we also have to subtract whatever.
[tex]\bf (x^2-4x+2^2-2^2)+(y^2+4y+2^2-2^2)=0 \\\\\\ (x^2-4x+2^2)+(y^2+4y+2^2)-4-4=0 \\\\\\ (x-2)^2+(y+2)^2-8=0\implies (x-2)^2+(y+2)^2=8 \\\\[-0.35em] ~\dotfill\\\\ \textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{}{ h},\stackrel{}{ k})\qquad \qquad radius=\stackrel{}{ r} \\\\[-0.35em] ~\dotfill\\\\ (x-2)^2+(y+2)^2=(\sqrt{8})^2\qquad \impliedby radius=\sqrt{8}[/tex]
Beanbag chairs that normally sell for 36.50 are on sale for 32.12 find the precent of discount round your answer to the nearest tenth of a precent
Answer: 12.0 %
Step-by-step explanation:
Since according to the question,
The initial price of the chair ( Marked price) = 36.50
And, After the discount the price of the chair = 32.12
Thus, the discount on the price = 36.50 - 32.12 = 4.38
Therefore the discount percentage = [tex]\frac{discount}{marked price} \times 100[/tex]
= [tex]\frac{4.38}{36.50} \times 100[/tex]
= [tex]\frac{438}{36.50}[/tex]
= 12 %
Thus, the percentage of discount = 12.0 %
A set of cards includes 24 yellow cards, 18green cards, and 18 blue cards. What is the probability that a card chosen at random is not green ?
Answer: 70%
Step-by-step explanation:
∆ABC is transformed with the center of dilation at the origin.
Pre-image: ∆ABC with vertices A(−5, −4), B(−7, 3), C(3, −2)
Image: ∆A'B'C' with vertices A' (−3.75, −3), B' (−5.25, 2.25), C' (2.25, −1.5)
What is the scale factor of the dilation that maps the pre-image to the image?
Answer:
3/4
Step-by-step explanation:
We are to find the scale factor of the dilation that maps the pre-image of triangle ABC with vertices A(−5, −4), B(−7, 3) and C(3, −2) to the image triangle A'B'C' with vertices A' (−3.75, −3), B' (−5.25, 2.25) and C' (2.25, −1.5).
Center of dilation is at the origin.
To find the scale factor, we will divide the corresponding vertices of the image and pre-image.
A(−5, −4) ---> A' (−3.75, −3) = [tex]\frac{-3.75}{-5} , \frac{-3}{-4}=(\frac{3}{4} , \frac{3}{4})[/tex]
B(−7, 3) ---> B' (−5.25, 2.25) = [tex]\frac{-5.25}{-7} , \frac{2.25}{3}=(\frac{3}{4} , \frac{3}{4})[/tex]
C(3, −2) ---> C' (2.25, −1.5) = [tex]\frac{2.25}{3} , \frac{-1.5}{-2}=(\frac{3}{4} , \frac{3}{4})[/tex]
Therefore, the scale factor of the dilation is 3/4.
PLEASE HELP ME!!! and if you could give me an explanation that would be good but if you can’t at least give me the answer please :(
Answer: g(x) = x^4 - 9x^3 + 18x^2 + 32x - 96 which is choice C
=============================
Explanation:
Given roots: -2, 4, 4, 3
Based on that, we know that x = -2, x = 4, x = 4, and x = 3. The repeat x value of 4 is needed to help deal with a double root (multiplicity 2)
x = -2 leads to x+2 = 0, so (x+2) is one factor
x = 4 leads to x-4 = 0, making (x-4) another factor. We have two copies of (x-4) as a factor
x = 3 leads to x-3 = 0 so (x-3) is the last factor
Overall, the four factors are: (x+2) and (x-4) and (x-4) and (x-3)
Use the distributive property to expand everything out
g(x) = (x+2)(x-4)(x-4)(x-3)
g(x) = ( (x+2)(x-4) ) * ( (x-4)(x-3) )
g(x) = ( x^2 - 2x - 8 ) * ( x^2 - 7x + 12 )
g(x) = x^2( x^2 - 7x + 12 ) - 2x( x^2 - 7x + 12 ) - 8( x^2 - 7x + 12 )
g(x) = x^4 - 7x^3 + 12x^2 -2x^3 + 14x^2 - 24x - 8x^2 + 56x - 96
g(x) = x^4 - 9x^3 + 18x^2 + 32x - 96
which shows how I got choice C as the answer
800,000,000,000 + 20,000,000,000 + 3,000,000,000 + 50,000,000 + 4,000,000 + 600,000 + 50,000 + 8,000 + 700 + 80 + 6
5a + 5b + 5c + 5d
Which expression is another way to write the expression shown here?
A) 5abcd
B) 5a + bcd
C) 5(a + b + c + d)
D) (5a)(5b)(5c)(5d) what the answer
Answer:
c
Step-by-step explanation:
Quadrilateral MATH is a square. If MA = 2x – 5 and AT = x + 10, find the perimeter of the square.
Answer:
Perimeter of the square MATH = 100.
Step-by-step explanation:
Given that MATH is a square, it means all sides would be equal to each other.
Given MA = 2x - 5 and AT = x + 10.
we know all sides are equal, so MA = AT.
2x - 5 = x + 10
2x = x + 10 + 5
2x = x + 15
2x - x = 15
x = 15
So, AT = x + 10 = 15 + 10 = 25.
Now the perimeter would be (MA + AT + TH + HM) = 4*AT = 4*25 = 100.
Hence, option D is the correct answer i.e. 100.
Answer:
100
Step-by-step explanation:
Sides of a square are congruent.
2x – 5 = x + 10
x = 15
Sides = 2(15) – 5 = 25
Perimeter = 25 + 25 + 25 + 25 = 100
Please help!!!
Which best explains the relationship between the two triangles below?
Answer:
1. [tex]\Delta ADC\sim \Delta RTS[/tex] because [tex]\angle A\cong \angle R[/tex], [tex]\angle C\cong \angle S[/tex] and [tex]\angle D\cong \angle T[/tex]
Step-by-step explanation:
We have been given two triangles [tex]\Delta ADC[/tex] and [tex]\Delta RTS[/tex]. We are asked to find the relationship between these triangles.
By angle sum property let us find measure of angle C of triangle ADC.
[tex]m\angle C+m\angle D+m\angle A=180^{o}[/tex]
[tex]m\angle C+51.2^{o}+96.5^{o}=180^{o}[/tex]
[tex]m\angle C+147.7^{o}=180^{o}[/tex]
[tex]m\angle C=180^{o}-147.7^{o}[/tex]
[tex]m\angle C=32.3^{o}[/tex]
Let us find measure of angle T of triangle RTS.
[tex]m\angle T+m\angle R+m\angle S=180^{o}[/tex]
[tex]m\angle T+96.5^{o}+32.3^{o}=180^{o}[/tex]
[tex]m\angle T+128.8^{o}=180^{o}[/tex]
[tex]m\angle T=180^{o}-128.8^{o}[/tex]
[tex]m\angle T=51.2^{o}[/tex]
We can see that [tex]m\angle C=m\angle S[/tex], [tex]m\angle A=m\angle R[/tex] and [tex]m\angle D=m\angle T[/tex]. Therefore, [tex]\Delta ADC\sim \Delta RTS[/tex] and 1st option is the correct choice.