Answer:
33/2 or
Step-by-step explanation:
2x−7
4
=
x+3
3
(2x−7)*(3)=(x+3)*(4)
6x−21=4x+12
Step 2: Subtract 4x from both sides.
6x−21−4x=4x+12−4x
2x−21=12
Step 3: Add 21 to both sides.
2x−21+21=12+21
2x=33
Step 4: Divide both sides by 2.
2x/2
=
33/2
x=
33/2
Answer:
x = 33/2 = 16 1/2
Step-by-step explanation:
You can clear fractions first, or you can work with the fractions as is.
(2x -7)/4 = (x +3)/3
2/4x -7/4 = 1/3x +1 . . . . . eliminate parentheses
(1/2 -1/3)x = 1 +7/4 . . . . . add 7/4 -1/3x
1/6x = 11/4 . . . . . . . . . . . simplify
x = 66/4 = 33/2 . . . . . multiply by 6, reduce the fraction
In a scale model of a boat 1 inch represents 8 feet
Answer:That is amazing.
Step-by-step explanation:
tha t is just wonderful news, now what was the question?
at 6 am the temperature was -8ºC. In the afternoon, the temperature was +3ºC. What was the change of temperature during the day?
Answer:
I think -5
Step-by-step explanation:
-8-(3)= -5
if they are the same sings (+or-) you keep and add and different signs subtract, you keep the sign of the bigger number then you'll be exact.
Hope it helps
4 pounds of grapes cost 5$ 7 pounds of grapes cost $8.75. What is the cost per pound?
Answer:
$1.25 per pound
The length of the fence is 12 1/2 feet and the width of the fence is 10 3/4 determine the perimeter
Answer:
46 1/2 feet
Step-by-step explanation:
Perimeter is defined as 2 × length + 2 × width which is 12.5 × 2 + 10.75 × 2 which works out to 46 1/2 or 46.5 feet which is the answer.
The perimeter of rectangle with length of the fence is [tex]12\frac{1}{2}[/tex] feet and the width of the fence is [tex]10\frac{3}{4}[/tex] is 46.5 feet.
What is Area of Rectangle?The area of Rectangle is length times of width.
Given,
The length of the fence is [tex]12\frac{1}{2}[/tex] feet
[tex]12\frac{1}{2}[/tex] is changed to improper fraction 25/2
the width of the fence is [tex]10\frac{3}{4}[/tex]
[tex]10\frac{3}{4}[/tex] is changed to improper fraction 43/4
Now we know that perimeter of rectangle =2(Length+width)
=2(25/2+43/4)
LCM of 2 and 4 is 4
=2(50+43)/4
=93/2
=46.5
Hence the perimeter of rectangle with length of the fence is [tex]12\frac{1}{2}[/tex] feet and the width of the fence is [tex]10\frac{3}{4}[/tex] is 46.5 feet.
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A line passes through the points (4, 6) and (8, 7). What is its equation in point-slope form?
Answer:
y - 6 = 1/4(x - 4).
Step-by-step explanation:
The slope m = (7-6)/(8-4) = 1/4
y - y1 = m(x - x1)
Using the point (4, 6)
y - 6 = 1/4(x - 4) (answer)
The equation of line passes through the points (4, 6) and (8, 7) will be;
⇒ y = 1/4x + 5
What is Equation of line?
The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Two points on the line are (4, 6) and (8, 7).
Now,
Since, The equation of line passes through the points (4, 6) and (8, 7) .
So, We need to find the slope of the line.
Hence, Slope of the line is,
m = (y₂ - y₁) / (x₂ - x₁)
m = (7 - 6) / (8 - 4)
m = 1 / 4
m = 1/4
Thus, The equation of line with slope 1/4 is,
⇒ y - 6 = 1/4 (x - 4)
⇒ 4 (y - 6) = x - 4
⇒ 4y - 24 = x - 4
⇒ 4y = x - 4 + 24
⇒ 4y = x + 20
⇒ y = 1/4x + 5
Therefore, The equation of line passes through the points (4, 6) and
(8, 7) will be;
⇒ y = 1/4x + 5
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There are four consecutive integers that add up to 22 what is the greatest integer
Answer:
7
Step-by-step explanation:
We can use the equation:
x + (x + 1) + (x + 2) + (x + 3) = 22
Combine like terms
4x + 6 = 22
Subtract 6 from both sides
4x = 16
Isolate x
x = 4
Plug in x
4 + (4 + 1) + (4 + 2) + (4 + 3) = 22
Solve
4 + 5 + 6 + 7 = 22
7 is the greatest integer
Fiona has $18 to spend. She spent $4.25, including tax, to buy a notebook. She needs to save $9.75, but she wants to buy a snack. If crackers cost $0.50 per package including tax, what inequality would show the maximum number of packages that Fiona can buy
Answer:
4.25+9.75+0.5x≤18
Step-by-step explanation:
4.25+9.75+0.5x≤18
14+0.5x≤18
0.5x≤4
x≤8
She can buy at most 8 packs of crackers.
Hope this helps :)
Fiona can buy maximum 8 number of packages of crackers.
What is subtraction?Subtraction is mathematic operation. Which is used to remove terms or objects in expression.
Given that Fiona has $18 to spend and she spent $4.25 .
Now, she has the money $18 - $4.25 = $ 13.75
And she needs to save $9.75 from rest of the amount.
Therefore, $13.75 - $ 9.75 = $4
Now she has $4 to spend and one packet of crackers cost $0.50.
So $4 / $0.50 = 8 number of packages Fiona can buy with the rest of money.
Therefore, Fiona can buy maximum 8 number of packages of crackers.
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the solution a+b>-9 is a >-15. What is the value of b
PLEASEEEEE HELP PLEASEEE
Answer:
b>6
Step-by-step explanation:
How do I solve this :
3x + y= 1 and x - 2y = 5
Answer:
(1,-2)
Step-by-step explanation:
x - 2y = 5
3x + y= 1 (1)
x - 2y = 5
x = 5 + 2y (2)
Substitute (2) into (1)
3x + y = 1
3(5 + 2y) +y = 1
15 + 6y + y = 1
15 + 7y = 1
7y = 1 - 15
7y = -14
y = -2 (3)
Plug (3) into (1) to find x
3x + y = 1
3x + (-2) = 1
3x - 2 = 1
3x = 3
x = 1
(1,-2)
In 10 minutes a heart can beat 700 times.At this rate in how many minutes will a heart beat 140 times? AT what rate can a heart beat
Answer:
2 minutes
Step-by-step explanation:
700/10 = 70
1 minute = 70 times
140/70 = 2 minutes
Answer:
2 minutes
Step-by-step explanation:
The heart beats 70 times per minute so 70+70=140.
If their food and beverages cost $25.30 and there is an 8% meals tax, how much is the bill? Enter your answer to the nearest cent.
Answer:
32.24
Step-by-step explanation:
-16=m/5 -18 prove m=10
Answer:
[tex]-16 = \frac{m}{5} - 18\\2 = \frac{m}{5}\\10 = m\\[/tex]
Step-by-step explanation:
Given the equation [tex]-16 = \frac{m}{5} - 18[/tex] isolate [tex]m[/tex]
1. The first is sum both sides by 18
[tex]-16 + 18= \frac{m}{5} - 18 + 18\\2 = \frac{m}{5}[/tex]
2. The second is multiply both sides by [tex]5[/tex]
[tex]5 \cdot 2 =5 \cdot \frac{m}{5}\\10 = m[/tex]
So of this way you can proof that [tex]m = 10[/tex]
50 points!!! help fast! 50 points!!!
Answer:
∠PQC = 26.25°
Step-by-step explanation:
∠B and ∠C = 75°∠PCD = 1/2∠C = 37.5°∠DPC = 180 - 90 - 37.5∠DPC = 90 - 37.5∠DPC = 52.5°∠QPC = 180° - 52.5° = 127.5°Finding ∠PQC
1/2 × (180° - 127.5°)1/2 × 52.5°∠PQC = 26.25°Answer:
This calculator is helpful for deciding how many tablets/capsules to dispense and/or how many days the dispensed quantity will last. It will calculate quantity of tablets/capsules needed
Step-by-step explanation:
The proportion of the total area under a normal curve between two z-scores corresponds to the ______ of that range of scores.
Answer:
For any normal distribution, the mean and the median will have the same value. For any normal distribution, the proportion corresponding to scores greater than z = +1.00 is exactly equal to the proportion corresponding to scores less than z = -1.00.
Step-by-step explanation:
how to evaluate (-1/2)×(-4)
The answer is 2
first, we know that the answer will end up to be positive because the two negatives multiply together and cancel each other out to be a positive. Next, we know that 4 divided by 2 is 2, so the answer is 2.
Answer:
Answer:
X=10
Step-by-step explanation:
-1 + x2 = 4
Add 1 to each side
-1 +1+x/2 = 4+1
X/2 = 5
Multiply each side by 2
X/2 *2 = 5*2
x= 10
Amy borrows $1,000 on a simple interest loan. She pays an annual rate of 3.5%. She will take 3 years to pay back the loan. How much interest will Amy pay?
Answer:
105
Step-by-step explanation:
1,000 divided by 3.5% is 35
35 x 3 is 105
Since you are just asking for just the interest and not the total the answer is 105
The interest that Amy should pay is $105.
Given that,
Amy borrows $1,000 on a simple interest loan. She pays an annual rate of 3.5%. She will take 3 years to pay back the loan.Based on the above information, the calculation is as follows:
[tex]= 1000 \times 3.5\% \times 3[/tex]
= 105
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In ΔNOP, p = 7.5 inches, ∠O=8° and ∠P=25°. Find the length of n, to the nearest 10th of an inch.
Answer: 10.17898 so
About 10.2
Answer: 10.6
Step-by-step explanation:
Please help! If it’s true then it’s 10 points. If it’s false then it’s 15. Don’t add up the numbers. I really appreciate it :)
1) True
2) True
3) False
4) False
5) False
6) True
7) True
8) False
A corporation earned its profit of 2.5x10^4 for 1x10^3 days in a row. What was the corporation's total profit during this time?
Answer:
$2.6 x 10^4
Step-by-step explanation:
Zidan is using the Rational Root Theorem to help find the roots of a 5th degree polynomial. He has discovered five roots and still has 4 to test. What is his next best step?
1-He should test the remaining 4 roots.
2-He should use the Factor Theorem to find the remaining polynomial roots.
3-He needs to pick one of the roots and use the quadratic formula to test it.
4-He can stop testing because he has found all the roots.
Answer:
He can stop testing because he has found all the roots.
Step-by-step explanation:
I took the test and it said I got it right. Hope this helps!
Please help me!!! It would really help
Answer:
D'(25, 0)
Step-by-step explanation:
Dilation by a factor of 5 about the origin multiplies each individual coordinate by 5.
(x, y) ⇒ (5x, 5y)
D(5, 0) ⇒ D'(5·5, 5·0) = D'(25, 0)
solve for x, find the measure of all angles hurryyyyyy!
Answer:
Step-by-step explanation:
Well the first fact is that you can solve H and J with 1 equation. Two remote (unconnected to) one of the exterior angles when summed, equals the unconnected exterior angle.
H + j are not connected to the exterior angle at I.
Put more directly
2x + 3x = 150 Combine
5x = 150 Divide by 5
x = 150/5
x = 30
So H = 2 * 30 = 60
and J = 3*30 = 90
All triangles have interior angles that add up to 180
We have already accounted for 150.
JIH + 150 = 180 Subtract 150
jIH = 180 - 150 = 30
Summary
x = 30
JIH = 30
H = 60
J = 90
One-fourth of a number increased by thirteen is less than two.
Answer: x < -44
Step-by-step explanation:
alright my fellow dude gamer, i want you to know that "a number" is basically just x
so lets do this
[tex]\frac{1}{4}x + 13 < 2[/tex]
ok now we are going to solve for x, no?
[tex]\frac{1}{4}x < -11[/tex]
i just subtracted 13 from both sides
now we divide -11 by 1/4
[tex]x < -44[/tex]
MAGIC! ABSOLUTELY FANTASTIC! OH MY GOODNESS AHHHHHHH
what is the x intercept?
Answerrrrrrrrrr:
- 7/6
Mary bought 176 flowers for 4 vases. How many flowers are needed for 7 vases?
She planned to have 44 flowers per vase (176/4). 7 vases would mean 308 flowers.
What are the x-intercepts of the graphed function?
Answer:
(-2,0) and (2,0)
Step-by-step explanation:
The x-intercepts are where the parabola touches the x-axis (aka when y is 0).
Please help me with this I don't get it
can anyone help me out with this?
Given :
Evaluate the equation.
2x – 4(x – 2y) + 6y = ?When x = 5 and y = 2 then,
2x – 4(x – 2y) + 6y
= 2(5) – 4[(5) – 2(2)] + 6(2)
= 10 – 4(5 – 4) + 12
= 10 – 4*1 + 12
= 10 – 4 + 12
= 22 – 4
= 18
Write the equation of the line from the graph.
Answer: x=-5
Step-by-step explanation:
Graph has no y intercept, thus has to be equal to x, and since its -5... x=-5 is your answer
Answer: X= -5
Step By-Step explantation:
Find the unit rate.
12 laps in 30minutes
Answer:
0.4/1
Step-by-step explanation:
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 30