Answer:
D
Step-by-step explanation:
You know that you have to find y, so eliminate choice B. She reads 30 per day, which is c, so you will have 30x. She also read 15 pages separately, so the 15 will be added on separately. With this, you get y = 30x + 15.
Answer:
D.
Step-by-step explanation:
Since she already read 15 pages in the bookstore, those 15 pages are constant since she cannot unread those pages. Those pages are the y-intercept of the equation.
Gwen is reading 30 pages per day, so her slope will be 30.
D. y = 30x + 15 will be her equation.
Hope this helps!
HELP!
Andrea has a $25 gift card
to a art store. She buys four canvases that are each the same price. If she now has $2.20 on her gift card, what was the price of each canvas?
Answer:
$5.70
Step-by-step explanation:
1. 25.00 - 2.20 = $22.80
2. 22.80 divided by 4 = $5.70
Answer:
$5.70
Step-by-step explanation:
let the price for each canvas be $x
hence the price of 4 canvases will be $4x
It is given that after she paid for 4 canvases, she had a balance of $2.20 on her orginally $25 gift card.
Hence we can assemble an equation:
$4x + $2.20 = $25
4x + 2.2 = 25 (subtract 2.2 from both sides)
4x = 25 - 2.2
4x =22.8 (divide both sides by 4)
x = 22.8 / 4
x = 5.7
Hence each canvas cost $5.70
Simplify $\dfrac{1}{\sqrt2+1}+\dfrac{1}{\sqrt2-1}.$
Answer:
2√2
Step-by-step explanation:
By simplifying we get the value is [tex]2\sqrt{2}[/tex]
What is expression ?The combination in which numbers, variables, functions are present, is called expression.
Example : 6y-3x+2, 2y-3 etc.
What is the simplified form of the expression ?
The given expression is [tex]\frac{1}{\sqrt{2}+1 } +\frac{1}{\sqrt{2}-1 }[/tex]
Simplifying,
First we take the LCM of [tex]\sqrt{2}+1[/tex] & [tex]\sqrt{2}-1[/tex]
Then expression becomes, [tex]\frac{(\sqrt{2}-1)-(\sqrt{2}+1) }{(\sqrt{2}+1)(\sqrt{2}-1)}[/tex]
Now, using [tex](a+b)(a-b)=a^{2}- b^{2}[/tex] we get, [tex]\frac{\sqrt{2}-1+\sqrt{2}+1 }{(\sqrt{2}) ^{2} - 1^{2} }[/tex]
Now, simplifying, we get, [tex]\frac{2\sqrt{2} }{2-1}[/tex] = [tex]2\sqrt{2}[/tex]
Learn more about expression here :
https://brainly.com/question/4344214
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Find the derivative of f(x) = negative 9 divided by x at x = -4. 4 divided by 9 16 divided by 9 9 divided by 16 9 divided by 4
Answer:
ᅠᅠᅠᅠᅠᅠᅠᅠ
Step-by-step explanation:
ᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠ
Answer:
9/16
Step-by-step explanation:
The cost of a cell phone bill (C) increases when the number of text messages (T) increases. Write the correct equation for this scenario, and solve for the cost when the number of texts is 4.
Answer:
[tex]c = \frac{2}{5} t[/tex], if the number of texts is 4, then the cost is $1.60.
Step-by-step explanation:
If 2 texts costs $5, then each text costs $[tex]\frac{2}{5}[/tex].
So, we can setup the equation to [tex]c = \frac{2}{5} t[/tex].
If the number of texts is 4, we can substitute that into our equation.
[tex]c = \frac{2}{5} \cdot 4[/tex]
[tex]c = \frac{8}{5}[/tex]
[tex]c = 1.60[/tex]
Hope this helped!
find the reciprocal of.
Answer:
a) 3/1 that is 3
b) 8/7
c) the mixed fraction is converted into simple fraction: 3*2+2/3 = 8/3
therefore the reciprocal is 3/8
d) 1/5
e) the mixed fraction is converted into simple fraction: 6*6+1/6 = 37/6
therefore the reciprocal is 6/37.
plz mark my ans as branlliest and like it upvote it
plz follow me and in return i wil also follow you.
Answer:
a. [tex]3[/tex]
b. [tex] \frac{8}{7} [/tex]
c. [tex] \frac{3}{8} [/tex]
d. [tex] \frac{1}{5} [/tex]
e. [tex] \frac{6}{37} [/tex]
Step-by-step explanation:
a. [tex] \frac{1}{3} [/tex]
Just flip the fraction , you will get:
[tex] = \frac{3}{1} [/tex]
[tex] = 3[/tex]
b. [tex] \frac{7}{8} [/tex]
flip the fraction
[tex] = \frac{8}{7} [/tex]
c. [tex]2 \frac{2}{3} [/tex]
The first thing you have to do is that convert mixed fraction into improper fraction
[tex] \frac{8}{3} [/tex]
Flip the fraction
[tex] = \frac{3}{8} [/tex]
d. [tex]5[/tex]
flip the fraction
[tex] = \frac{1}{5} [/tex]
e. [tex]6 \frac{1}{6} [/tex]
Convert mixed fraction into improper fraction
[tex] = \frac{37}{6} [/tex]
Flip the fraction in order to get reciprocal
[tex] = \frac{6}{37} [/tex]
Hope this helps...
Best regards!!
which expression is equivalent to 2(5)^4
Answer:
l0^4
2 (2)^4
I'm sorry if my answer is not helping
Help :(
Yun was trying to factor 7x^2- 14x. He found that the greatest common factor of these terms was 7x and made an area model:
What is the width of Yun's area model?
Answer:
If the question is saying that length is 7x, then the answer (width) is x-2
a subway train with 47 people stops at a station and picks up 20 more people at the same station p people get off. there are 52 people left on the train. which equation shows how to find the value of p
Answer:
67 - p = 52
Step-by-step explanation:
the train starts with 47 people: 47
it picks up 20 more: 47 + 20 = 67
p people get off: 67 - p
52 people are left on train: 67 - p = 52
Write the following phrase as an expression. "7 more than n"
Answer:
7+n
Step-by-step explanation:
More indicates that we are adding an amount to n.
So since it is 7 more, we need to add 7 to n.
Note that an expression does not include an equal sign, so we are done.
Other commonly seen phrases are:
less than -> indicates subtraction
product of -> indicates multiplication
divided by -> division
Find the equation of the circle whose center and radius are given. Center:(-2,-5) Radius=1
Answer:
( x+2)^2 + (y+5)^2 = 1
Step-by-step explanation:
The equation of a circle can be written in the form
( x-h)^2 + (y-k)^2 = r^2
where ( h,k) is the center and r is the radius
( x- -2)^2 + (y- -5)^2 = 1^2
( x+2)^2 + (y+5)^2 = 1
Answer:
[tex](x + 2)^{2} + (y + 5)^{2} = 1[/tex]
Step-by-step explanation:
The guy above is correct! I just finished the quiz and checked the answer key.
Please answer it now in two minutes
Answer:
m∠F = 20.6°
Step-by-step explanation:
In the given right triangle ΔHGF,
∠G = 90°
By applying tangent rule in the triangle,
tan(∠F) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
= [tex]\frac{\text{HG}}{\text{GF}}[/tex]
= [tex]\frac{3}{8}[/tex]
= 0.375
m∠F = [tex]\text{tan}^{-1}(0.375)[/tex]
= 20.556°
= 20.6°
Therefore, measure of angle F is 20.6°
Colin has a pad with x pieces of paper on it. For his first class, he wrote on 5 fewer than half of the pieces of paper in the pad. He used 2 more sheets in his second class than in his first. How many sheets are left for his third class? ill give brainliest to the first answer
Answer:
Colin has 8 sheets left for his third class.
Step-by-step explanation:
Given that:
Total Number of pieces of papers = [tex]x[/tex]
Number of pieces of papers used for 1st class = 5 fewer than half of the pieces in the pad
Writing the equation:
[tex]\text{Number of pieces of papers used for 1st class =} \dfrac{x}{2} -5 ...... (1)[/tex]
Also, Given that number of pieces of papers used for the 2nd class are 2 more than that of papers used in the 1st class.
[tex]\text{Number of pieces of papers used for 2nd class =} \dfrac{x}{2} -5+2 = \dfrac{x}2 -3 ...... (2)[/tex]
Now, number of pieces of papers left for the third class = Total number of pieces of papers in the pad - Number of pieces of papers used in the first class - Number of pieces of papers used in the first class
[tex]\text{number of pieces of papers left for the third class = }x-(\dfrac{x}{2}-5)-(\dfrac{x}{2}-3)\\\Rightarrow x-\dfrac{x}2-\dfrac{x}2+5+3\\\Rightarrow x-x+5+3\\\Rightarrow 8[/tex]
So, the answer is:
Colin has 8 sheets left for his third class.
did this several times but still didn't get the answer .pls do try this :)
Answer:
x=-15/2 and x=1
x=6 and x=3/4
Step-by-step explanation:
You have the following equations:
[tex]\frac{4x-3}{x+2}=\frac{2x}{x+5}[/tex]
[tex]\frac{2}{x-2}+\frac{3}{x}-\frac{9}{x+3}[/tex]
To solve both equations you can first multiply by the m.c.m of the denominators, and then solve for x, just as follow:
first equation:
[tex][\frac{4x-3}{x+2}=\frac{2x}{x+5}](x+2)(x+5)\\\\(4x-3)(x+5)=2x(x+2)\\\\4x(x)+4x(5)-3(x)-3(5)=2x(x)+2x(2)\\\\4x^2+20x-3x-15=2x^2+4x\\\\4x^2-2x^2+20x-3x-4x-15=0\\\\2x^2+13x-15=0[/tex]
In this case you use the quadratic formula:
[tex]x_{1,2}=\frac{-13\pm \sqrt{(13)^2-4(2)(-15)}}{2(2)}\\\\x_{1,2}=\frac{-13 \pm 17}{4}\\\\x_1=-\frac{15}{2}\\\\x_2=1[/tex]
Then, for the first equation the solutions are x=-15/2 and x=1
second equation:
[tex][\frac{2}{x-2}+\frac{3}{x}=\frac{9}{x+3}]x(x-2)(x+3)\\\\2x(x+3)+3(x-2)(x+3)=9x(x-2)\\\\2x^2+6x+3(x^2+3x-2x-6)=9x^2-18x\\\\2x^2+6x+3(x^2+x-6)=9x^2-18x\\\\2x^2+6x+3x^2+3x-18-9x^2+18x=0\\\\-4x^2+27x-18=0[/tex]
Again, you use the quadratic formula:
[tex]x_{1,2}=\frac{-27\pm \sqrt{(27)^2-4(-4)(-18)}}{2(-4)}\\\\x_{1,2}=\frac{-27\pm 21}{-8}\\\\x_1=6\\\\x_2=\frac{3}{4}[/tex]
Then, the solutions for the second equation are x=6 and x=3/4
Multiply the polynomial
10. (3-2v)(2-5v)
11. (5x-4)(3x2+x-5)
Answer:
10) [tex]10v^2-19v+6[/tex]
11) [tex]15x^3-7x^2-29x+20[/tex]
Step-by-step explanation:
Well first let's make the box.
10)
Look at the image below ↓
[tex]10v^2-19v+6[/tex]
11)
Look at the image below ↓
[tex]15x^3-7x^2-29x+20[/tex]
Thus,
number 10 is [tex]10v^2-19v+6[/tex] and number 11 is [tex]15x^3-7x^2-29x+20[/tex].
Hope this helps :)
Find the product.
7xy(3x2y3)
PLEASES HELP!!! ASAP!!!
Answer:
21x³y^4
Step-by-step explanation:
7xy(3x^2y^3)=
21x³y^4
Answer:
21x^3y^4
Step-by-step explanation:
Multiply each term:
21x^3y^4
Plz mark me brainliest!!
first correct answer gets best marks and it doesn't have to be long just a quick answer that's it
Answer:
see below
Step-by-step explanation:
-3.55 g≤ -28.4
Divide each side by -3.55, remembering to flip the inequality
-3.55 g/-3.55≥ -28.4/-3.55
g≥8
Closed circle at 8 and the line goes to the right
p=E/x+Y express x in terms of p,e and y
Answer:
x = E/(p - y)
Step-by-step explanation:
p - y = e/x
x(p-y) = e
x = e/(p-y)
Answer:
Hey there!
p=e/x+y
p-y=e/x
x(p-y)=e
x=e/(p-y)
Hope this helps :)
Help I will mark brainliest
Answer:
A.{7}^{15}
[tex]4.7475615 {}^{12}[/tex]
Step-by-step explanation:
[tex]( {7}^{5} ) {}^{3} = {7}^{5} =(16807) {}^{3}=4.7475615 {}^{12} [/tex]
Hope this helps ;) ❤❤❤
If the bases of an isosceles trapezoid have lengths of 11 and 26, what is the length of the median? A: 7.5 units B: 37 units C: 18.5 units D: 15 units
Answer:
C. 18.5
Step-by-step explanation:
1/2(11 + 26) = 18.5
Find the length of AB , given A(5,-2) and B(-3,-4)
Answer:
sqrt(68) is the length.
Step-by-step explanation:
For this you will use the distance formula, sqrt((x2-x1)^2+(y2-y1)^2)
So for this it is sqrt((5+3)^2+(-2+4)^2)
sqrt(64+4)
sqrt(68)
8.246
A 40 ft board is cut into two pieces so that one piece is 8 ft longer than the other piece. Find the length of the two pieces
Answer:
16 and 24 ft
Step-by-step explanation:
If we call the length of one piece x, the length of the other piece is x + 8, therefore, we can write the following equation:
x + x + 8 = 40
2x + 8 = 40
2x = 32
x = 16 so x + 8 = 16 + 8 = 24.
Answer:
24 and 16
Step-by-step explanation:
x + x+8=40
2x+8=40
2x=32
x=16
16 and 24
can anyone help me with this Function
Answer:
[tex]\Large \boxed{\sf \ \ 6x^2-2x-6 \ \ }[/tex]
Step-by-step explanation:
Hello, please consider the following.
[tex](f-g)(x)=f(x)-g(x)=6x^2-4-(2x+2)\\\\=6x^2-4-2x-2=\large \boxed{6x^2-2x-6}[/tex]
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
If the measure of arc GH= 90° and the measure of arc EF= 45°, calculate m∠GDH.
Answer:
∠ GDH = 67.5°
Step-by-step explanation:
The measure of the chord- chord angle GDH is half the sum of the measures of the arcs intercepted by the angle and its vertical angle.
∠ GDH = [tex]\frac{1}{2}[/tex](GH + EF) = [tex]\frac{1}{2}[/tex] (90 + 45)° = 0.5 × 135° = 67.5°
how to do this question plz answer me step by step plzz
Answer:
30, 85, 95, 150
Step-by-step explanation:
The angles of a quadrilateral add to 360
Let x be the smallest angle
x+55
x+65
x+120 are the other three angles
Add the 4 angles together and they sum to 360
x+x+55 x+65+ x+120 = 360
Combine like terms
4x+240 = 360
Subtract 240 from each side
4x+240-240 = 360 -240
4x = 120
Divide by 4
4x/4 = 120/4
x = 30
x+55= 30+55 = 85
x+65 = 30+65 = 95
x+120 = 30+120 = 150
What is the probability that both of Eduardo's partners for the group project will be girls? StartFraction 9 Over 65 EndFraction StartFraction 24 Over 65 EndFraction StartFraction 64 Over 169 EndFraction StartFraction 128 Over 325 EndFraction
Answer:
StartFraction 24 Over 65 EndFraction
Step-by-step explanation:
Total number of students = 26
Number of boys = 10
Number of girls = 26-10
=16
Eduardo has to pull two names out of the hat without replacing them.
First name
Probability= Favourable outcome/Total outcome
Probability of girls=16
Total probability=26
Eduardo has to pull two names out of the hat without replacing them.
Probability= Favourable outcome/Total outcome
=16/26
=8/13
For the second name:
Without replacement of the first hat
Probability of girls=16-1=15
Total probability=26-1=25
Probability= Favourable outcome/Total outcome
=15/25
=3/5
Probability of both of Eduardo's partner for the group project will be girls=8/13*3/5
=24/65
StartFraction 24 Over 65 EndFraction
Answer:
B.) 24/65
Step-by-step explanation:
Took the test
−2(x−7)+3(x+5)=x+9 PLEASE HELP
Answer: no solution
Step-by-step explanation:
-2(x-7)+3(x+5)=x+9
Distribute
-2x+14+3(x+5)=x+9
Distribute
-2x+14+3x+15=x+9
Combine like terms
x+29=x+9
Subtract(x)
29=9
Because 29 does not equal 9, the equation has no solutions
Hope it helps <3
Answer:
There is no solution.
Step-by-step explanation:
[tex] - 2(x - 7) + 3(x + 5) = x + 9[/tex]
Distribute -2 through the parentheses
[tex] - 2x + 14 + 3(x + 5) = x + 9[/tex]
Distribute -3 through the parentheses
[tex] - 2x + 14 + 3x + 15 = x + 9[/tex]
Collect like terms
[tex]x + 14 + 15 = x + 9[/tex]
Add the numbers
[tex]x + 29 = x + 9[/tex]
Cancel equal terms on both sides of the equation
[tex]29 = 9[/tex]
The statement is false for any value of x
x ∈ ∅
Hope this helps..
Best regards!!
248 miles per hour = x meters per second. Round to the nearest hundredth.
Answer:
110.87 m/sStep-by-step explanation:
This problem is based on unit conversion from miles per hour to meter per second.'
From tables 1 mph= 0.44704 m/s
Given 248 mph to be converted to meters per second.
hence we have
1 mph= 0.44704 m/s
248 mph= x
cross multiplying we have
x= 110.86592 m/s
to the nearest hundreth we have
110.87 m/s
What is 30% of 80? show two strategies for solving this problem
by both directly multiplying 0.3(80) AND setting up equivalent ratios and solving with cross products
30/100= x/80. You
must show all of your work!
Answer:
24
Step-by-step explanation:
30/100=x/80
cross multiply:
100x=2400
divide by 100:
x=24
Not quite sure how you want me to explain the other way step by step... Hope this helps!
80*.3=24
What is the average rate of change for this exponential function for the
interval from x = 2 to x = 4?
O A. -6
O B. -12
O C. 12
O 0.6
Answer:6 a p e x
Step-by-step explanation:
It is believed that 30% of the people in Washington state want cell phone use banned in cafes. The CEO of a major coffehouse chain in Seattle wonders whether the opinion of the people who go to her cafes is different from the overall population. She hires a polling agency to investigate this issue. In a random sample of 1450 individuals, 474 people have the same opinion as the overall population. What is the p-value?
Answer:
The p-value is 0.025
Step-by-step explanation:
Given that:
30% of the people in Washington state want cell phone use banned in cafes
sample size N = 1450
X = 474 people have the same opinion.
The objective is to calculate the p-value.
Let's assume the level of significance = 5% = 0.05
From the information given ; the null and alternative hypothesis can be computed as:
[tex]\mathbf{H_o: p = 0.30 } \\ \\ \mathbf{H_a: p \neq 0.30}}[/tex]
USING MINITAB; the simulation on what we compute on our MINITAB can be written as:
Test for p = 0.3 vs p not = 0.3
Sample X N Sample p 95 C.I Z-value P-value
1 474 1450 0.326897 (0.302752, 0.351041) 2.23 0.025
From what we have in our MINITAB Output;
Z - value = 2.23
P-Value = 0.025