Answer:
x=25
Step-by-step explanation:
Combine like terms which would make it
x-8=17
Move over the 8 by adding it to each side
x=17+8
And then add them together
x=25
8ax−5=−3. Solve for x
Answer:
x=[tex]\frac{2}{8}[/tex]a
Step-by-step explanation:
8ax-5 = -3
Move the -5 to the right side ; -3 + 5 = 2
8ax=2
Get rid of 8a so you are left with x alone by dividing it out
[tex]\frac{8ax}{8a}[/tex] = [tex]\frac{2}{8a}[/tex]
You are left with
x= [tex]\frac{2}{8}[/tex]a
The value of x is 1/4a
What is equation?Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S.
There are different parts of an equation which include coefficients, variables, operators, constants, terms, expressions, and an equal to sign. When we write an equation, it is mandatory to have an "=" sign, and terms on both sides. Both sides should be equal to each other. An equation doesn't need to have multiple terms on either of the sides, having variables, and operators. An equation can be formed without these as well, for example, 5 + 10 = 15.
Given equation:
8ax−5=−3
8ax= -3+5
8ax= 2
x= 2/8a
x= 1/4a
Hence, the value of x is 1/4a
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find the pattern and find the next three items in the pattern. 1, 1, 2, 6, 24, 120
What is the algebraic way to solve -10(x-17) = -3 ? Please provide the correct solution :)
Answer:173/10
Step-by-step explanation:
Answer:
x= 17.3
Step-by-step explanation:
-10(x-17) = -3 equation
-10x + 170 = -3 multiply -10 to everything in parenthesis
-10x = -173 subtract 170 from both sides of the equation
[tex]\frac{-10x}{-10} =\frac{-173}{-10}[/tex] divide -10 from both sides
x= 17.3
imagine reflecting triangle ABC across line MN. Then answer the questions about the reflected figure
Answer:
Triangle.
Step-by-step explanation:
Reflection of an figure across any line is the mirror image of the figure.
That means reflection of a figure is a rigid transformation, in which size or shape of the image doesn't change.
Therefore, when we reflect triangle ABC across the line MN shape of the reflected angle will remain same as a triangle.
The sum of 2 consecutive odd numbers is 104. What are the numbers?
Answer:
51 and 53Step-by-step explanation:
If k is any integer then 2k is even number and 2k+1 is odd number.
The next odd number to 2k+1 would be: 2k+1+2=2k+3
the sum is 104 so:
2k+1 + 2k+3 = 104
4k + 4 = 104
4k = 100
k = 25
2k+1 = 2•25+1 = 51
2k+3 = 2•25+3 = 53
Check:
51 + 53 = 104
can someone help me with factoring by grouping please do step by step
problem: 3x^2+10x+7
Answer:
(3x + 7) (x + 1 )
Step-by-step explanation:
3x^2+10x+7
first : 3x² is 3x*x
(3x ) (x )
the sign of the constant is positive so it is either (plus *plus or minus*minus)
since the sign of the middle is plus (+10x) and 7 is prime number so it has to be (7*1)
(3x + 7) (x + 1 )
check : multiply 3x(x+1) and 7(x+1)
3x*x +3x*1
7*x +1*7
____________________ add
3x²+ 10x +7 (correct)
Answer:
3x^2 + 10x + 7
1. 3x^2 + 3x + 7x +7
2. 3x(x +1) 7(x+1)
3. (3x + 7)(x+1)
Step-by-step explanation:
- to factor by grouping, you need an even amount of terms, so to do this you have to split up the middle term, 10x, into two terms. (see step 2)
-to get these numbers, you multiply the coefficents of the first and second term, in this case it would be 3 and 7. When you multiply 3 and 7, you get 21, then you want to find 2 numbers that multiply to 21, but also add up to 10. In this case, it is 7 and 3 again. but it won't always be the originial numbers. ( see step 1)
-then you look at the first two terms, and pull out the common factor, in this case it is 3, you then see what is left over and put it in the parenthesis.
- repeat this again for the second two terms, in this case it is 7. (see step 2)
- you know you have done it right when the numbers in the parenthesis are the same, if they aren't you did it wrong. (see step 2)
- then take the set of numbers in the parenthesis, and the two numbers you are multiplying by, in this case 3x and 7, and those are your factors. (see step 3)
A rectangle has a perimeter of 60 inches. The length of the rectangle is 3 inches less than twice the width
Answer:
width = 11, len = 19
Step-by-step explanation:
length = 2w - 3
l = length
w = width
2(length) + 2(width) = perimeter
2(2w - 3) + 2(w) = 60
6w -6 =60
w = 11
len = 2(11) - 3
The length of the rectangle is 19 inches and the width is 11 inches
The perimeter of a rectangle is given as 2(l+w)
Now
Given that the Perimeter is 60 inches
Let the width be w
So that the Length is 2w -3
Putting the values into the equation , we have
Perimeter = 2(l+w)
Perimeter =2L + 2w
Putting the values
Perimeter =2(2w -3) + 2w
Perimeter =4w -6 + 2w
60=6w-6
60+6=6w
66=6w
w =66/6 =11inches
Since the width is 11 inches,
The length will be 2w -3 = (2x11)-3=19 inches
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The changing speed of a car is modeled by the function S(t) = –4t + 35, where t is time in seconds. Interpret the model.
Answer:
the b
Step-by-step explanation:
Solve the equation for I
P = 2(I + W)
Answer:
i=12p−w
Step-by-step explanation:
Step 1: Flip the equation.
2i+2w=p
Step 2: Add -2w to both sides.
2i+2w+−2w=p+−2w
2i=p−2w
Step 3: Divide both sides by 2.
2i2=p−2w2
i=12p−w
A grocery store charges $1.49 per pound of bananas. Use a unit rate to find the price of 3 pounds of bananas.
O $2.98
O $2.49
O $4.49
O $4.47
Answer:
$4.47
Step-by-step explanation:
Price if 1 pound of bananas=$1.49
Price if 3 pounds of bananas=3x$1.49
=$4.47
HELP ME PLEASE
what are the x and y intercepts of the following line? -3x-2y=20
a) (-3/2,0), (0,-10)
b) (-20/3, 0), (0,-10)
c) (-3,2), (0,0)
d) (-3,0), (0,-2)
Answer:
a) (-3/2,0), (0,-10)
Step-by-step explanation:
y = mx + b
Change the equation to y intercept form.
-3x - 2y = 20
Isolate -2y by adding 3x on both sides.
-2y = 3x +20
Divide everything by -2
y = [tex]-\frac{3}{2}x[/tex] - 10
If you have a ti 84 plus calculator put it in the calculator:
go to y =
then press 2nd graph
then press graph
you will be at the (x,y) table
look at what (x,y) value match your choices.
Another way to solve this equation is to substitute.
a) is the correct choice
6. Jeremy runs a steel mill. To make a certain steel, 3 lbs of titanium is alloyed with 150 lbs of iron. If Jeremy wants to make that same steel using 4.3 tons of titanium, which equation can he use to find the number of tons of iron he must procure? 3 X 4.3 4.3 a) 4.3 X 150 3 b) 3 150 4.3 150 d) 150 3
Answer:
x = 3, y = 150
k = y/x
k = 150/3 = 50
y = 50x....when x = 4.3
y = 50(4.3) = 215 tons of steel
Help please if u at least know one part that’s fine just comment
The function h(x) has a maximum at 4,the vertix is 4,3
Fourteen less than eight times a number is three more than four times the number. What is the number?
Answer:
8n - 14 = 4n + 3 is the equation
and
n = 4.25
Step-by-step explanation:
hope this helped a little bit :))
Write –40.38 as a mixed number
Hey there! I'm happy to help!
In a mixed number, we keep the whole number the same.
For the decimal, we have .38 which is 38/100.
We can simplify this by dividing the numerator and denominator by 2, giving us 19/50.
We combine the whole number and fraction, giving us -40 19/50.
Have a wonderful day! :D
The commute time to work in the U.S. Has a bell shaped distribution with a population mean of 24.4 minutes and a population standard deviation of 6.5 minutes. What proportion of the population has a commute time: a) between 11.4 minutes and 37.4 minutes? (1 pt) b) less than 11.4 minutes? (1 pt) c) greater than 37.4 minutes? (1 pt) 3. Using the parameters provided in the previous question, Q2, determine the z-score that corresponds to a commute time of 15 minutes. (2 pts)
Answer:
Q1 a) 0.9545
b) 0.02275
c) 0.97725
Q2 z is approximately equal to -1.466
Step-by-step explanation:
Q1 The given information are;
The mean time to commute to work = 24.4 minutes
The standard deviation = 6.5 minutes
a) The z-score for 11.4 is given as follows;
[tex]Z=\dfrac{x-\mu }{\sigma }[/tex]
Where;
x = Observed value 11.4
μ = The mean = 24.4 minutes
σ = The standard deviation = 6.5 minutes
[tex]Z=\dfrac{11.4-24.4 }{6.5 } = -2[/tex]
The z-score for 37.4 is given as follows;
[tex]Z=\dfrac{37.4-24.4 }{6.5 } = 2[/tex]
-2 < z < 2, which gives, from the z-score table;
The probability of commute time to be between 11.4 minutes and 37.4 minutes = 0.97725 - 0.02275 = 0.9545
b) From the z-score table, the probability that the commute time to be less than 11.4 minutes = The probability at z = -2 = 0.02275
c) From the z-score table, the probability that the commute time to be greater than 37.4 minutes = The probability at z = 2 = 0.97725
Q2 The the z-score that corresponds to a commute time of 15 minutes is given as follows;
[tex]Z=\dfrac{x-\mu }{\sigma }[/tex]
[tex]Z=\dfrac{15-24.4 }{6.5 } = -\dfrac{94}{65} \approx -1.466[/tex]
Segment CD has an endpoint at C(2, -1) and a midpoint at M(8,3). What is the coordinate of point D? Explain.
Answer
Graph?
Step-by-step explanation:
Two bikers rode at a constant speed on a 150-meter track. The data here show each biker’s distance for a certain part of the race. Who won the race and by how much? Student 1 A 2-column table with 4 rows. Column 1 is labeled Time (seconds) with entries 4, 6, 8, 10. Column 2 is labeled Distance (meters) with entries 40, 60, 80, 100. won the race by about .
Answer:
Student 2 1 sec
Step-by-step explanation:
A baby gains 11 pounds in its first year of life. The baby gained 4 à pounds during the first four months and 3 pounds in
its second four months. How much did the baby gain in the last four months?
33 pounds
3 pounds
4 pounds
5 pounds
The inequality 94 – 3 log2x ≤ 88 describes noise exposure level (in decibels) in terms of the number of hours, x, it takes to reach 100% of a person’s recommended daily noise dose. A manufacturer claims that the noise exposure level in their factory never exceeds 88 decibels. What is the smallest number of hours it would take for a worker in this factory to reach 100% of her daily noise exposure?
a. 1
b. 2
c. 3
d. 4
Answer:
4
Step-by-step explanation:
edg and i got it right
For the number of hours greater than or equal to 5.4, it would take for a worker in this factory to reach 100% of her daily noise exposure.
What is inequality? Differentiate between equation and expression?inequality : An inequality is used to make unequal comparisons between two expressions or numbers.
expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.
equation : A mathematical equation is used to equate two expressions.
Given is that the inequality (94 – 3 log2x ≤ 88) describes noise exposure level (in decibels) in terms of the number of hours {x} it takes to reach 100% of a person’s recommended daily noise dose.
The given inequality is -
94 – 3 log(2x) ≤ 88
94 - 88 ≤ 3 log(2x)
6 ≤ 3 log(2x)
log(2x) ≥ 2
log(2) + log(x) ≥ 2
log(x) ≥ 2 - log(2)
log(x) ≥ (2 - 0.31)
log(x) ≥ 1.69
x ≥ 5.41
Therefore, for the number of hours greater than or equal to 5.4, it would take for a worker in this factory to reach 100% of her daily noise exposure.
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Between which two consecutive whole numbers does 47 lie? Fill out the sentence
below to justify your answer and use your mouse to drag ✓ 47 to an approximately
correct location on the number line.
147
Real
2
4
5
6
10
Since
and
it is known that ✓ 47 is between
and
Submit Answer
Answer:
Between 6-7
Step-by-step explanation:
The square root of 47 is in-between 6 (36) and 7 (49), and is closer to 7 than to 6.
*Formatting is a little off, so apologies if this isn't the exact answer you're looking for
16/4 (16 over 4) classify by listening all subsets it belongs in
□Natural
□whole
□integer
□rational
□irrational
□real
Answer: natural; whole; integer; rational; real
Step-by-step explanation:
16/4=4
Natural: numbers that are greater than 0.
4 is greater than 0
Whole: numbers that are equal or greater than 0
4 is equal or greater than 0
Integer: numbers that have no decimal points
4 has no decimal points
Rational: numbers that can be written as fraction
4=16/4 which is fraction
It is already rational, so it will not be irrational.
Real: all number you can name are real number
4 is four
mila has completed 4 birdhouses. thats is 40% of the bitdhouses she wants to build.how many birdhouses does she want to build
Answer:
10 birdhouses
Step-by-step explanation:
floor gang aooh sub to pewdiepie
Help me out! (URGENT) I need help with numbers 1-6 please
Answer:
Step-by-step explanation:
1. Blank= 5
2. Blank= 10 (I believe)
3. Blank= 8
4. Blank= 13 (I believe)
5. Blank= 12
6. Blank= 7
Hope it helps!
OwO
what is the value of x in 30 - 3x = 15 + 12x
Answer:
[tex]x=1[/tex]
Step-by-step explanation:
So we have the equation:
[tex]30-3x=15+12x[/tex]
First, let's add 3x to both sides. The left side cancels:
[tex]30=15+15x[/tex]
Now, subtract 15 from both sides. The right cancels:
[tex]15=15x[/tex]
Divide both sides by 15:
[tex]x=1[/tex]
So, the value of x is 1.
And we're done!
Answer:
1 =x
Step-by-step explanation:
30 - 3x = 15 + 12x
Add 3x to each side
30 - 3x+3x = 15 + 12x+3x
30 = 15x +15
Subtract 15 from each side
30-15 = 15x+15-15
15 =15x
Divide each side by 15
15/15 = 15x/15
1 =x
Millie needs to cook a roast lamb for 1 hour and 50 minutes at 356c. How much does the roast weigh in kilo grams if the recommendation is 20 minutes for every 250 grams
Answer:
The roast weighed 1.375 kg
Step-by-step explanation:
Here, we want to know what the roast lamb will weigh in kilograms given its cooking time.
From the question, we are told that to cook 250 grams, 20 minutes is need.
So let’s make a relationship here,
Firstly let’s express 1 hour and 50 minuets in minutes, that will be 60 + 50 = 110 minutes( 1 hour is 60 minutes)
Now;
let’s have our relationship;
20 minutes = 250 grams
110 minutes = x grams
By cross multiplication;
20 * x = 250 * 110
20x = 27,500
x = 27500/20
x = 1,375 grams
But, mathematically 1000g = 1kg
So 1,375 will be 1375/1000 = 1.375 kg
The width of the room is 129 inches. What calculation could be used to find this measurement in feet?
12 ÷ 129
129 × 12
129 ÷ 12
129 ×
Answer:
129 divided by 12
Step-by-step explanation:
itll get the amount of feet
Can anyone help I am stuck ? Thanks !
Answer: B
Step-by-step explanation:
A painting is 6 in tall and 18 in wide. If it
is reduced to a height of 1 in, then how
wide will it be?
A. 108 in B. 4 in C. 2 in D. 3 in
Answer:
your answer is b
Step-by-step explanation:
3(x - 2) + 4 = 2x -1
[tex]\text {Hi! Let's Solve this Equation!}[/tex]
[tex]\text {The First Step is to Simplify the Equation:}[/tex]
[tex]\text {3 becomes 3x. 3*-2=-6 so that becomes -6.}[/tex]
[tex]\text {Add: -6+4=-2}[/tex]
[tex]\text {Your new Problem should be: 3x+-6+4=2x-1}[/tex]
[tex]\text {The Next Step is to Subtract 2x:}[/tex]
[tex]\text {3x-2-2x=2x-1-2x}\\\text {x-2=-1}[/tex]
[tex]\text {The Final Step is to Add 2:}[/tex]
[tex]\text {x-2+2=-1+2}[/tex]
[tex]\text {Your Answer should be:}[/tex]
[tex]\fbox {x=1}[/tex]
[tex]\text {Best of Luck!}[/tex]
[tex]\text {-LimitedX}[/tex]
Answer:
- 1
Step-by-step explanation:
Step 1:
3 ( x - 2 ) + 4 = 2x - 1 Equation
Step 2:
3x - 6 + 4 = 2x - 1 Multiply
Step 3:
3x - 2 = 2x - 1 Combine Like Terms
Step 4:
3x = 2x - 1 + 2 Add 2 on both sides
Step 5:
3x = 2x - 1 Combine Like Terms
Step 6:
x = - 1 Subract 2x on both sides
Answer:
x = - 1
Hope This Helps :)
