Answer:
x= -10
y= -43
Step-by-step explanation:
since both of your equations equals y just plug it into each other and than make the equation: 5x+7=4x-3
and than you can just start with the variables OR numbers and then simplify
5x+7=4x-3
5x+10=4x
10= -x
x= -10
so -10 for x
plug it in to one of your 2 equations to get y
5(-10)+7= y
-50+7=y
y= -43
Suppose your friends have the following ice cream flavor preferences: 70% of your friends like chocolate (C). The remaining do not like chocolate. 40% of your friends like sprinkles (S) topping. The remaining do not like sprinkles. 25% of your friends who like Chocolate (C) also like sprinkles (S). Of the friends who like sprinkles, what proportion of this group likes chocolate
Answer:
The proportion of this group that likes chocolate is 0.625.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Likes sprinkles
Event B: Likes chocolate
25% of your friends who like Chocolate (C) also like sprinkles (S).
This means that [tex]P(A \cap B) = 0.25[/tex]
40% of your friends like sprinkles (S) topping.
This means that [tex]P(A) = 0.4[/tex]
Of the friends who like sprinkles, what proportion of this group likes chocolate
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.25}{0.4} = 0.625[/tex]
The proportion of this group that likes chocolate is 0.625.
I need help with percentages please.several stores in the mall are having a sale on jeans that cost $50 before any discount the table shows the discounts being offered
Choose all that apply: 4/6 + 2/3 =
Answer:
1.3 & 1/3
Step-by-step explanation:
Help plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzxzzxzzzzzzzzzz
Answer:
21 2121212121212121212121
Write an equation of the parabola in intercept form
Your answer
1 point
Practice Question #7: There are 24 students in Ms. Watters Social Studies
class. 5/8 of these students earned an A on the geography unit
assessment. How many students earned an A? (enter only the number) *
Which expression has the same value as -4(5 - x)?
A. -4.5 + 4.x
B. -4.5 - 4.x
C. (-4 + 5).(-4 + ( - x))
D. (4 - 5)(-4 - x)
Help me pls I do not want to fail math.
Answer:
2a=3b
Step-by-step explanation:
b/a=2/3 not b/a =3/2
b/3=a/2 not b/2=a/3
2a/3=b not 3a/2=b
hope it's helpful ❤❤❤
THANK YOU
What is the value of b?
25-15
3b +25
Answer:
B=34
Step-by-step explanation:
2b-15+3b+25=180
5b+10=180
5b=170
b=34
? Help if you know how to do this
Answer:
[tex]x = 2.5[/tex]
Step-by-step explanation:
Given
[tex]AC = 2x - 1[/tex]
[tex]AB = 2x + 1[/tex]
[tex]BC = 2\sqrt{7[/tex]
[tex]\angle A = 60^{\circ}[/tex]
Required
Find x
To find x, we make use of cosine formula which states:
[tex]a^2 = b^2 + c^2 - 2bcCosA[/tex]
In this case:
[tex]BC^2 = AB^2 + AC^2 - 2*AB*BC*CosA[/tex]
Substitute values
[tex](2\sqrt{7})^2 = (2x + 1)^2 + (2x-1)^2 - 2*(2x + 1)*(2x - 1)*Cos(60^{\circ})[/tex]
Evaluate all exponents
[tex]4*7 = (4x^2 + 4x + 1)+(4x^2 - 4x + 1) - 2(4x^2 - 1)*cos(60^{\circ})[/tex]
Open brackets
[tex]28 = 4x^2 + 4x + 1+4x^2 - 4x + 1 - (8x^2 - 2)*cos(60^{\circ})[/tex]
Collect Like Terms
[tex]28 = 4x^2 +4x^2+ 4x - 4x+ 1 + 1 - (8x^2 - 2)*cos(60^{\circ})[/tex]
[tex]28 = 8x^2+ 2 - (8x^2 - 2)*cos(60^{\circ})[/tex]
Substitute 0.5 for cos(60)
[tex]28 = 8x^2+ 2 - (8x^2 - 2)*0.5[/tex]
Open bracket
[tex]28 = 8x^2+ 2 - 4x^2 + 1[/tex]
Collect Like Terms
[tex]8x^2- 4x^2 + 2 + 1 - 28 = 0[/tex]
[tex]4x^2 -25 = 0[/tex]
Collect Like Terms
[tex]4x^2 =25[/tex]
Divide both sides by 4
[tex]x^2 =\frac{25}{4}[/tex]
[tex]x^2 =6.25[/tex]
Take positive square root of both sides
[tex]x = \sqrt{6.25[/tex]
[tex]x = 2.5[/tex]
I need help finding the answer to this:
Nathan opens a new savings account and makes an initial deposit of $400. If the account earns 2% annual interest, how much interest will he earn in 9 months?
Answer:
He will earn $6 in interest in 9 months.
Step-by-step explanation:
This is a simple interest problem.
The simple interest formula is given by:
[tex]E = P*I*t[/tex]
In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
After t years, the total amount of money is:
[tex]T = E + P[/tex]
Initial deposit of $400.
This means that [tex]P = 400[/tex]
2% annual interest
This means that [tex]I = 0.02[/tex]
How much interest will he earn in 9 months?
An year has 12 months, this means that [tex]t = \frac{9}{12} = \frac{3}{4} = 0.75[/tex]
This is E. So
[tex]E = P*I*t = 400*0.02*0.75 = 6[/tex]
He will earn $6 in interest in 9 months.
Pls help will mark brainlest
Answer:
15 bags
Step-by-step explanation:
She can fill 5 bags per each pound (because there are 5 [tex]\frac{1}{5}ths[/tex] per pound)
Since there are 3 pounds, and , again, each pound can fill 5 bags, she will need 15 bags.
Another way too look at it is to ask how many 1/5ths are in 3 pounds. To find this answer mathematically:
3 ÷ 1/5 = 15 because when we divide by a fraction, we need to flip it and then multiply (so 3 ÷ 1/5 is actually 3×5)
What is the answer plwese help!?!"!.!
Answer:
768 in.
Step-by-step explanation:
Solve the equation
-7=y/7
Answer:
y=-49
Step-by-step explanation:
BONUS QUESTIONS 1. The number of books featured at the local library is shown below: MYSTERY BOOKS: 32 NOVELS: 16 NON-FICTION BOOKS: 12 The library is hosting a book fair that features the mystery books. All the authors discuss the same number of mystery books and each will discuss more than 1 book. How many authors could be featured in the show?
Answer:
I don't get the question
Step-by-step explanation:
i need help
pls and thank you
A store manager designs a new accounting system that will be cost effective if the mean monthly charge account balance is more than $50. A sample of 100 accounts is randomly selected. The sample mean balance is $56 and the sample standard deviation is $25.a.Find the t-statistic for a hypothesis test that is designed to answer the question.
Answer:
The t-statistic for a hypothesis test that is designed to answer the question is 2.4.
Step-by-step explanation:
Our test statistic is:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the saple and n is the size of the sample.
A store manager designs a new accounting system that will be cost effective if the mean monthly charge account balance is more than $50.
This means that [tex]\mu = 50[/tex]
A sample of 100 accounts is randomly selected. The sample mean balance is $56 and the sample standard deviation is $25.
This means that [tex]X = 56, s = 25, n = 100[/tex]. So
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}[/tex]
[tex]t = \frac{56 - 50}{\frac{25}{\sqrt{10}}[/tex]
[tex]t = \frac{6}{2.5}[/tex]
[tex]t = 2.4[/tex]
The t-statistic for a hypothesis test that is designed to answer the question is 2.4.
Gary has to travel for work. He spent $128 on gas for his car last week.That is only 80% of what he usually spends per week.Hiw much does Gary spend on gas per week?
Answer: 48
Step-by-step explanation: all you have to do is subtract $128 by 80% that will equal 48
Your welcome!
help please, help me
Answer:
7.07 in^2 is what i got
please help
Professor Ivy’s students have the following scores on her Exam.
61 88 67 88 91 69 45 92 52 38 98
Find the mode value.
Answer:
88
Step-by-step explanation:
The mode is the number that occurs the most in a data set, and 88 is the only number that occurs twice.
Need help fast! Solve for y and a if possible please
Y=-2x+6 what is the y intercept
Answer:
the Y intercept is 6
Step-by-step explanation:
the Y intercept of a linear equation like that equation
any equation formed as: y=mx+b
B of the equation would always be the Y intercept
The y-intercept of the equation y = -2x + 6 is 6. It means that the line intersects the y-axis at the point (0, 6), where the y-coordinate is 6.
In the equation y = -2x + 6, the y-intercept represents the value of y when x is equal to zero.
To find the y-intercept, we substitute x = 0 into the equation:
y = -2(0) + 6
y = 0 + 6
y = 6
Therefore, the y-intercept of the equation y = -2x + 6 is 6. It means that the line intersects the y-axis at the point (0, 6), where the y-coordinate is 6.
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Raj is 3 inches taller than Howard. Let h represent Howard’s height. Write an algebraic expression to represent Raj’s height.
Answer:
h + 3
Step-by-step explanation:
Since Raj is 3 inches taller than Howard (h), Raj would be h + 3 inches taller than Raj, giving you your answer.
Answer:
h + 3
Step-by-step explanation:
h + 3
3 = they are 3 inches TALLER which means you need to add 3
h = Howards height
So all you would need to do is add Howards age by 3, and you will get Raj's height. They said that " Raj is 3 inches taller than Howard", so that means when you get Howard (h) you would need to add it by 3 (3 inches taller), and you will be able to get Raj's height.
Hope this helped!
Have a supercalifragilisticexpialidocious day!
Can someone please Help meeeee !!!!!
Answer:
4
Step-by-step explanation:
x must equal 2 and 2 to the power of 2 is 4
Answer:
4
Step-by-step explanation:
Original equation: 3x-1=5
Add 1 on both sides: 3x=6
Divide by 3 on both sides: x=2
If x=2, then x^2 = 4.
Let me know if this helps!
On a number line, the directed line segment from Q to S has endpoints Q at -14 and S at 2. Point R partitions the
directed line segment from Q to Sin a 3:5 ratio.
Which expression correctly uses the formula [m/m+n](x2-x1)+x1 to find the location of point R?
9514 1404 393
Answer:
A
Step-by-step explanation:
Using m=3, n=5, x2=2, x1=-14, the only match is the first one.
The correct expression for the point on the line is [tex]M=\frac{3}{3+5} (2-(-14))+(-14)[/tex]
Midpoint of a lineThe formula for expressing the midpoint of a line is expressed as:
[tex]M=\frac{m}{m+n} (x_2-x_1)+x_1[/tex]
Given the following parameters
m=3,
n=5,
x2=2,
x1=-14,
Substitute
[tex]M=\frac{3}{3+5} (2-(-14))+(-14)[/tex]
This given the correct expression for the point on the line
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Write 1378 in expanded form
1378=
Answer:
1000+ 300+ 70+ 8=1378
Step-by-step explanation:
Answer:
1,378 dollars yessssssssssssssssss
please help.................
Answer:
Is that thick line an equal or a minis sign? I cant see it.
I WILL MARK BRAINLIST IF YOU ANSWER CORRECTLY OR IF YOU JUST TRY BUT IF YOU ANSWER FOR THE POINTS IM REPORTING btw I CAN tell
Answer:
What's the question tho
how would I do linear expression
Answer:
Linear expression is linear equations
Step-by-step explanation:
Determine whether line c is a transversal of lines a and b. Explain your reasoning.
I WILL AWARD DA BRILLIANT AWORD THINGY
Answer:
Yes
Step-by-step explanation:
A transversal line is a line that intersects two or more lines. Since line C is intersecting two lines, it is transversal.
The required line C is a transversal of lines a and b.
What is a line?A line is a straight curve connecting two points or more showing the shortest distance between the initial and final points.
Here,
The line which intersects two or more lines is said to be a transversal line.
So as of the given figure, line C intersects line a and line b so Line C is a transversal line.
Thus, the required line C is a transversal of lines a and b.
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