Answer: x = -10
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
x= -10
Step-by-step explanation:
7x-4(-4x-16)=-166 foil the ()
7x+16x+64= -166 combine terms
23x+64= -166 subtract 64 to both sides
23x= -230 divide by 23
x= -10
Susan needs 228 ounces of fruit juice for a party. She is choosing between two brands of juice. Two Brands of Juice Brand A Brand B 12 ounces 8 ounces $2.55 $1.45 She finds the unit rate of each brand and rounds to the nearest cent. Which statement about the unit rates is true?
Answer:
Brand A costs approximately $0.21 per ounce
Brand B costs approximately $0.18 per ounce
Step-by-step explanation:
the rate can be regarded as the change in one entity with respect to the other
From the question, we know brand A
$ 2.55 for 12 ounces of juice, to Know the cost of single once of the juice is
($ 2.55/12ounce)
=$ 0.2125
But the conversation rate for dollar to cent is (1 dollar = 100 cents)
Then to convert $ 0.2125 to cent, we can say
1 dollar = 100 cents
$ 0.2125 =X cent , if we cross multiply we have
= 21.25 cents
Which is approximately 21 cents.
From the question, Brand B cost $ 1.45 for 8 ounces of juice.
to Know the cost of single once of the juice is ( $ 1.45/8 ounce)
=$ 0.18125
We can convert to cent like we did above
1 dollar = 100 cents
$ 0.18125 =X cents, if we cross multiply, we have
= 18.125 cents
which is approximately: 18 cents
Therefore, the true statement about the unit rate are"Brand A costs approximately $0.21 per ounce
Brand B costs approximately $0.18 per ounce"
I need help answering this question
Answer:
A
Step-by-step explanation:
If you plug in 3 to both values of x, we would get both side lengths of 8. We know this is an equivalent triangle because the angles are all the same.
Answer:
Step-by-step explanation:
3x -1 = x+5
-2x = -6
x = 3
What is the value of x?
Enter your answer in the box.
x =
Equiangular triangle A B C. Angles A, B, and C are marked congruent. The length of side A C is labeled as 3 x plus 6. The length of side A B is labeled as 6 x minus 3. The length of side B C is labeled as 5 x.
Answer:
x=3
Step-by-step explanation:
took the quiz
Answer:
x=3
Step-by-step explanation:
An employee took 5 vacation days bringing his new vacation day balance to 8 days.Which equation can be used to find, x, the number of vacation days the employee had before using 5 vacation days?
Answer:
[tex]x + 5 = 8[/tex]
Step-by-step explanation:
Given
[tex]Total = 8[/tex]
[tex]Additional\ Vacation = 5[/tex]
Required
Determine the equation to find initial days of vacation
This is represented with x.
To get a total of 8 days vacation, we must have the following expression.
[tex]Initial\ Days + Additional\ Days = Total[/tex]
Substitute values for initial days, additional days and total. So, we have
[tex]x + 5 = 8[/tex]
Hence, the required expression is: [tex]x + 5 = 8[/tex]
Carl buys seven 5-gallon jugs of water for the water cooler. How many liters of water did Carl buy? Show your work.
Answer:
18.9271 liters
Step-by-step explanation:
i googled it
given the function g(x)=10x-2
what is g(7)?
Answer:
g(7)=68
Step-by-step explanation:
Answer:
68
Step-by-step explanation:
10(7)-2
70-2
68
9) through: (1, 2), slope = 7
HURRY UP IF YOU ANSWER THIS QUESTION CORRECT I WILL NAME YOU BRAINLY WHAT IS 129 SQUARED
Answer:
11.3
Step-by-step explanation:
Answer:
16641
Step-by-step explanation:
129 x 129=16641
HTH :)
In a litter of five puppies, what is the probability of getting
two males and three females, assuming an even chance for
each gender?
1
(A) 32
(B) 0.031
1
(C) 16
5
(D) 16
(E) 4
Answer:
5/16
Step-by-step explanation:
Use binomial probability:
P = nCr pʳ qⁿ⁻ʳ
where n is the number of trials,
r is the number of successes,
p is the probability of success,
and q is the probability of failure (1−p).
Let's say r is the number of male puppies.
n = 5, r = 2, p = 0.5, and q = 0.5.
P = ₅C₂ (0.5)² (0.5)³
P = 5/16
The probability of getting two males and three females, assuming an even chance for each gender is [tex]\frac{5}{16}[/tex].
Given that,
In a litter of five puppies.There is two males and three females, assuming an even chance for each gender.Based on the above information, the calculation is as follows:
Here we use binomial probability:
[tex]P = ^nC_r p^r q^{n-r}[/tex]
Here n denotes the number of trials,
r denotes the number of successes,
p denotes the probability of success,
and q denotes the probability of failure (1−p).
Let's us assume the r be the number of male puppies.
Now
n = 5, r = 2, p = 0.5, and q = 0.5.
So, put the values
So,
[tex]P = ^5C_2 (0.5)^2 (0.5)^3[/tex]
= [tex]5 \div 16[/tex]
Therefore we can conclude that the probability of getting two males and three females, assuming an even chance for each gender is [tex]\frac{5}{16}[/tex].
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The sum of a number times 6 and 17 is at most 21.
Answer:
? that makes no sense
Step-by-step explanation:
Answer:
n × 6 + 17 ≤ 21
If an object is shot upward with an initial velocity, v0, in feet per second (ft/s), the velocity, v, in ft/s is given by the formula v=v0−32t, where t is time in seconds. Find the initial velocity of an object if the velocity after 2 seconds is 39ft/s.
Answer:
96m/s
Step-by-step explanation:
Given the velocity, v, in ft/s of an object given by the formula v=v0−32t,
Given
V = 39ft/s
t = 2secs
Required.
Initial velocity v0
Substitute the given parameters into the formula
v=v0−32t,
32 = v0-32(2)
v0 = 32+64
v0 = 96m/s
Hence the initial velocity of the object is 96m/s
Jane worked for 10 hours on the weekend. She was paid $7.00 per hour. How much Medicare tax was withheld from her paycheck if the tax rate is 1.45%?
Answer:
The Medicare tax withheld from her paycheck if the tax rate is 1.45% was $1.015.
Step-by-step explanation:
First, you have to determine the amount that Jane earned by multiplying the amount she earns per hour for the number of hours she worked:
$7*10=$70
Then, you need to calculate 1.45% of $70:
$70*1.45%=$1.015
According to this, the answer is that the Medicare tax withheld from her paycheck if the tax rate is 1.45% was $1.015.
7.) Y 2 x 1
5
w ay
H
2-
1
+
7
+
2 3
1
- 1
1
-6
-5 -4 -3 2
4
-3
-S
Answer:
Step-by-step explanation:
The equation of line is y = ( 1/4 )x - 1 , where the slope is m = ( 1/4 ) and the graph is plotted
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
y = ( 1/4 )x - 1
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = 1/4
The y-intercept of the line is b = -1
The graph of the line y = ( 1/4 )x - 1 is plotted
Hence , the equation of line is y = ( 1/4 )x - 1
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Write an equation of a line parrallel to y=-3x+5 that has a y-intercept of 8.
Answer:
y=-3x+8
Step-by-step explanation:
if u want them to be parallel make the slope the same
(in this case, -3x)
and the y-int at the end is +8
a bag contains 6 white marbles and 4 black marbles. a marble is drawn from the bag and then a second marble is drawn without replacing the first one. what is the probability of drawing a white marble on the first draw, followed by a black marble on the second?
Answer:
4/15
Step-by-step explanation:
Probability = 6/10 x 4/9 = 4/15
Topic: Probability
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The probability of drawing a white marble on the first draw, followed by a black marble on the second is 4/15.
What is the probability?Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The probability of drawing a white marble on the first draw, followed by a black marble on the second = (number of white marbles / total number of marbles) x (number of black marbles / total number of marbles - 1)
6/10 x 4/9 = 24/90 = 4/15
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Hazel has $50 in a savings account that earns 10% interest, compounded annually. To the nearest cent, how much will she have in 2 years?
Answer:
$66.55 dollars i took the same question
Please help me my homework is due tomorrow use the screen shot
Answer:
1/5
Step-by-step explanation:
(5^7*5^5)/5^13 (when multiplying numbers with the same base, add the exponents)
= (5^12)/5^13 (when dividing exponents with the same base, subtract the exponents)
= 1/5^1 (anything to the first power is itself)
= 1/5
5-5 Medians and Altitudes
Triangle EFG has an incenter and orthocenter of D. What kind of triangle is triangle EFG?
A. Right
В.
Isosceles
C. Scalene
D
Equilateral
Answer: D Equilateral
Step-by-step explanation: Center of a triangle is a point where lines intersect. There 4 most popular: centroid, circumcenter, orthocenter and incenter.
Altitude or Height of a triangle is a perpendicular line is draw from a vertex to the opposite side. There are 3 heights and they united (or intersect) at a point called Orthocenter
Incenter is a point where the three angle bisectors meet. Angle bisector is a line that divide the angles of the triangle in two equal angles.
Generally, each center is positioned at a different location on the triangle (in one example, the point is located outside the triangle).
However, there is a case in which incenter and orthocenter are coincidental. That case is for a equilateral triangle, a triangle whose angles and sides are the same.
Write the equation in vertex form given the vertex (4, 7) and passing through the point (0, 10).
Answer:
f(x) = ³/₁₆ (x - 4)² + 7Step-by-step explanation:
The vertex form of the equation of the parabola with vertex (h, k) is:
f(x) = a(x - h)² + k
so the equation of parabola with the vertex (4, 7) is
f(x) = a(x - 4)² + 7
passes through the point (0, 10) means if x=0 then f(x)=10
10 = a(0 - 4)² + 7
10 -7 = a(-4)² + 7 -7
3 = 16a
a = ³/₁₆
Therefore the equation of parabla is:
f(x) = ³/₁₆ (x - 4)² + 7
solve by elimination 3x+y=5 -2x-y=-10
Answer:
(-5, 20)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Solving systems of equations using substitution/eliminationSolving systems of equations by graphingStep-by-step explanation:
Step 1: Define systems
3x + y = 5
-2x - y = -10
Step 2: Solve for x
Elimination
Add 2 equations together: x = -5Step 3: Solve for y
Define original equation: 3x + y = 5Substitute in x: 3(-5) + y = 5Multiply: -15 + y = 5Add 15 on both sides: y = 20Step 4: Graph systems
Check the solution set and graph.
Answer:
x = -5
y = 20
Step-by-step explanation:
3x + y = 5 ⇒ y = 5 - 3x
-2x - y = -10 ⇒ 2x + y = 10
2x + (5 - 3x) = 10
5 - x = 10
x = -5
Substitution of x-value into "y = 5 - 3x":
y = 5 - 3(-5)
y = 5 + 15
y = 20
sole w - 12 = -3 using mental math
Answer:
-15
Step-by-step explanation:
Answer:
w=9
Step-by-step explanation:
w - 12 = -3
w-12+12=-3+12
w=9
21x/2 = 2(x-1)+3
I need this quick if that’s ok
multiply both sides by 2
21x/2 · 2=2x·2+1·2simplify
21x=4x+2subtract 4x from both sides
21x- 4x=(4x)+2-(4x)divide both sides by 17
17x=217 17simplify
x=2/17A taxi driver charges a $2 fee plus an additional $4 per mile as shown by the graph.
What is the cost of a 3-mile ride?
$1
$10
$12
$14
Answer:
The answer is 14
Step-by-step explanation:
The taxi driver charges $4 per mile so you multiply that by 3 miles because that is what your trying to find. So you get 12 and from their you have to add the $2 fee thus leading to an answer of 14.
Pls answer fast thx
Mary rolls a fair dice and flips a fair coin.
What is the probability of obtaining an even number and a tail?
Answer:
1/4
Step-by-step explanation:
even number is 3/6 = 1/2
and the coin is 1/2
so 1/2 x 1/2 = 1/4
Answer:
1/4
Step-by-step explanation:
−3−(−5)
PLease Help me
Answer:
2
Step-by-step explanation:
Simplify the expression.
Answer:
2
Step-by-step explanation:
Two subtraction/negative signs make a positive so it's pretty much -3 + 5
So if you take 3 away from 5 you are left with 2
hi, I think the answer is c, but I need some help to be sure.
will give brainliest.
Answer:
Yes, it's c.
Step-by-step explanation:
3 to the 0th power is 3x3 zero times. It's zero. 0 to the 26th power is just 0x0 26 times. It's just 3x3 0 times multiplied with 0x0 26 times.
Bert and Ernie ran the 100-meter
dash. The difference of their times
was 1.5 s. If Bert won the race in a
time of 12.6 s, what was Ernie's
time?
Answer:
the answer is 14.1 because it says that ernie lost so it must be addition so it is 14.1
Step-by-step explanation:
Please Help
Please let me know how to do it, I don't only want the answer. Thank you!
(4y+3)-(y-2)
(There is no equal sign in the math problem)
please help me im stuck
Answer:
a = -0.5
Step-by-step explanation:
[tex] \rm Solve \: for \: a: \\ \rm \longrightarrow - \dfrac{1}{4}a - 4 = \dfrac{7}{4}a - 3 \\ \\ \rm Put \: each \: term \: in \: - \dfrac{1}{4}a - 4 \: over \: the \\ \rm common \: denominator \: 4: \\ \rm - \dfrac{a}{4} - 4 = - \dfrac{a}{4} - \dfrac{16}{4} : \\ \rm \longrightarrow - \dfrac{a}{4} - \dfrac{16}{4} = \dfrac{7}{4}a - 3 \\ \\ \rm - \dfrac{a}{4} - \dfrac{16}{4} = \dfrac{ - a - 16}{4} : \\ \rm \longrightarrow \dfrac{ - a - 16}{4} = \dfrac{7}{4}a - 3 \\ \\ \rm Put \: each \: term \: in \: \dfrac{7}{4}a - 3 \: over \: the \\ \rm common \: denominator \: 4: \\ \rm \dfrac{7a}{4} - 3 = \dfrac{7a}{4} - \dfrac{12}{4} : \\ \rm \longrightarrow \dfrac{ - a - 16}{4} = \dfrac{7a}{4} - \dfrac{12}{4} \\ \\ \rm \dfrac{7a}{4} - \dfrac{12}{4} = \frac{7a - 12}{4} : \\ \rm \longrightarrow \dfrac{ - a - 16}{4} = \dfrac{7a - 12}{4} \\ \\ \rm Multiply \: both \: sides \: by \: 4: \\ \rm \longrightarrow \dfrac{ - a - 16}{ \cancel{4}} \times \cancel{4}= \dfrac{7a - 12}{ \cancel{4}} \times \cancel{4} \\ \\ \rm \longrightarrow -a - 16 = 7 a - 12 \\ \\ \rm Subtract \: 7 a \: from \: both \: sides: \\ \rm \longrightarrow (-a - 7 a) - 16 = (7 a - 7 a) - 12 \\ \\ \rm -a - 7 a = -8 a: \\ \rm \longrightarrow -8 a - 16 = (7 a - 7 a) - 12 \\ \\ \rm 7 a - 7 a = 0: \\ \rm \longrightarrow -8 a - 16 = -12 \\ \\ \rm Add \: 16 \: to \: both \: sides: \\ \rm \longrightarrow (16 - 16) - 8 a = 16 - 12 \\ \\ \rm 16 - 16 = 0: \\ \rm \longrightarrow -8 a = 16 - 12 \\ \\ \rm 16 - 12 = 4: \\ \rm \longrightarrow -8 a = 4 \\ \\ \rm Divide \: both \: sides \: of \: -8 a = 4 \: by \: -8: \\ \rm \longrightarrow
\dfrac{ - 8a}{ - 8} = \dfrac{4}{ - 8} \\ \\ \rm \dfrac{ - 8}{ - 8} = 1: \\ \rm \longrightarrow a = - \dfrac{4}{ 8} \\ \\ \rm - \dfrac{4}{ 8} = - \dfrac{1}{2} : \\ \rm \longrightarrow a = - \dfrac{1}{2} \\ \\ \rm \longrightarrow a = - 0.5[/tex]