✽ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ✽
[tex]\boxed{x = -17}[/tex]
✽ Simplify both sides of the equation.
[tex]\frac{x+2}{5}-\frac{x+1}{4}=1[/tex]
[tex]\frac{1}{5}x + \frac{2}{5} + \frac{-1}{4} = 1[/tex] (Distribute)
[tex](\frac{1}{5}x + \frac{-1}{4} ) + (\frac{2}{5} + \frac{-1}{4}) = 1[/tex] (Combine Like Terms)
[tex]\frac{-1}{20}x + \frac{3}{20} = 1[/tex]
✽ Subtract 3/20 from both sides.
[tex]\frac{-1}{20}x + \frac{3}{30} - \frac{3}{20} = 1 - \frac{3}{20}[/tex]
[tex]\frac{-1}{20}x = \frac{17}{20}[/tex]
✽ Multiply both sides by 20/(-1).
[tex]( \frac{20}{-1}) * (\frac{-1}{20}x) = (\frac{20}{-1}) * (\frac{17}{20})[/tex]
Hence, x = -17
✽
➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
↬ May ♡
Why is 5(-2+7)+3=-10x+38 one solution explain your answer
A new company opens and finds the profits from their first year in business is $24,000. They project the company's profits to increase by 1.7% each year. What is their expected profit 10 years from now?
Answer:
$4406.7 is the profit.
explanation:
compound interest formula: [tex]\sf \large\boxed{\sf P(1+\frac{r}{100})^n }[/tex]
using this formula:
[tex]\rightarrow \ \sf \sf 24000(1+\dfrac{1.7}{100})^{10} }[/tex]
[tex]\rightarrow \sf \ $ \sf 28406.7[/tex]
profit: $28406.7 - $24,000 = $4406.7
is 3 pints greater, less than, or equal to 8 cups
Answer:
less than
Step-by-step explanation:
a pint is 2 cups so 8 cups is 4 pints
yw
If a triangle only has 150 on one angle is what’s the measure for the rest of them
Answer:
I think it would be thirty
Select the correct answer.
Which of the equations below represents a line perpendicular to the x-axis?
ОА.
I = 3
ОВ.
= 3y
OC.
=y
OD.
I = -3y
Reset
Next
Answer
The anwser is B
Step-by-step explanation:
I did this test as well earlier this year
Equation x=3 represents a line perpendicular to the x-axis. Therefore, the correct answer is option A.
What is the equation of a line?The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.
here, we have,
A) x=3
Graph the line using the slope and y-intercept, or two points.
Slope: Undefined
y-intercept: No y-intercept
The coordinate points are (3, 0) and (3, 1).
B) Graph the line using the slope and y-intercept, or two points.
Slope: 1
y-intercept: (0,0)
The coordinate points are (0, 0) and (1, 1)
C) x=y
Graph the line using the slope and y-intercept, or two points.
Slope: 1
y-intercept: (0,0)
The coordinate points are (0, 0) and (1, 1)
D) x=-3y
Graph the line using the slope and y-intercept, or two points.
Slope: -1/3
y-intercept: (0,0)
The coordinate points are (0, 0) and (-3, 1)
Therefore, option A is the correct answer.
To learn more about the the equation of a line visit:
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Harvey the wonder hamster can run 3\dfrac16 \text{ km}3 6 1 km3, start fraction, 1, divided by, 6, end fraction, start text, space, k, m, end text in \dfrac14 4 1 start fraction, 1, divided by, 4, end fraction hour. Harvey runs at a constant rate. Find his average speed in kilometers per hour.
Answer:
[tex]Speed = \frac{38}{3}km/hr[/tex]
Step-by-step explanation:
Given
[tex]Distance = 3\frac{1}{6}km[/tex]
[tex]Time = \frac{1}{4}hr[/tex]
Required
Determine the average speed
Average speed is calculated as thus;
[tex]Speed = \frac{Distance}{Time}[/tex]
[tex]Speed = 3\frac{1}{6}/\frac{1}{4}[/tex]
[tex]Speed = 3\frac{1}{6} * \frac{4}{1}[/tex]
Convert Mixed Fraction to Improper fraction
[tex]Speed = \frac{19}{6} * \frac{4}{1}[/tex]
[tex]Speed = \frac{19 * 4}{6 * 1}[/tex]
[tex]Speed = \frac{76}{6}[/tex]
Divide both sides of the fraction by 2
[tex]Speed = \frac{38}{3}[/tex]
Hence:
The speed is:
[tex]Speed = \frac{38}{3}km/hr[/tex]
Answer:
38/3
Step-by-step explanation:
8. Caitlyn has 8 gallons of milk. She uses
3
of the milk to make hot chocolate.
4
1
Then, she uses
of the remaining milk to make cookies.
4
How many gallons of milk does Caitlyn have left after making hot chocolate and
cookies?
Answer:
115/12
HOPE IT IS THE ANS
ZN
is tangent to circle OO at point ZZ. If \text{m}\overset{\huge\frown}{ZMB} = 280^{\circ}m
ZMB
⌢
=280
∘
, find \text{m}\angle BZNm∠BZN.
Given tangent, ZN, to the circle and the arc [tex]\widehat{ZMB}[/tex] = 280°, we have that
the angle formed by the chord BZ and the tangent ZN, ∠BZN is 50°
Which method can be used to find ∠BZN?The given parameters are;
A tangent to the circle O = ZN
[tex]m \widehat{ZMB}} = \mathbf{280^{\circ}}[/tex]
Required:
Angle ∠BZN
Solution;
Please find attached the drawing of the circle and tangent
From the drawing, we have;
∠BOZ = 360° - 280° = 80°
ΔBOZ is an isosceles triangle, which gives;
∠BZO = ∠ZBO
[tex]\angle BZO = \dfrac{(180^{\circ}- 80^{\circ}) }{2} = \mathbf{50^{\circ}}[/tex]
∠OZN = 90° (by definition of a tangent)
∠OZN = ∠BZO + ∠BZN
∠BZN = ∠OZN - ∠BZO
Which gives;
∠BZN = 90° - 40° = 50°
The measure of angle ∠BZN = 50°Learn more about tangents to a circle here:
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95 - 4G < 40 + 5G plz help me
This answer would be (55/9, ∞)
What is the surface area of this right triangular prism?
Enter your answer in the box.
in²
Right triangular prism. The height of the prism is labeled 15 in. The base of the prism is a triangle with sides labeled 17 in., 17 in., ad 30 in. There is a dashed line from the vertex of the triangle perpendicular to the 30 in. side that is labeled 8 in.
Answer:
i believe its 1200
Step-by-step explanation:
A recipe that yields 12 cups of soup calls for 28 ounces of beef broth how many ounces of beef broth do you need to make 18 cups of soup?
Answer:
42
Step-by-step explanation:
for one cup 28/12
for 18 cup,
(28/12)×18
=42
Tutorial
Some players on a co-ed basketball team compared the total number of points they
scored over the course of a year.
Points scored in basketball
Hunter
1
5
Katie
1
5
Jenny
5
()) If there were 50 points scored overall, how many more were scored by Jenny than by
Hunter?
Answer:
20 points
Step-by-step explanation:
If Jenny scored 3/5th of 50 points then:
Jenny = 3/5 × 50 = 30 points
If Hunter scored 1/5th of 50 points then:
Hunter = 1/5 × 50 = 10 points
Difference in points between Jenny and Hunter = 30 - 10 = 20 points
7. Evaluate square root 64. 121.
Answer:
88
Step-by-step explanation:
[tex]\sqrt{(64)(121)}\\\sqrt{64} \sqrt{121} \\(8)(11)\\88[/tex]
The square root of 64×121 is 88.
What is square root of a number?Square root is a factor of a number that, when multiplied by itself, gives the original number.
According to the given question
We have to find the square root of 64 × 121
The prime factorization of 64 is 2 × 2 × 2 × 2 × 2 × 2
And the prime factorization of 121 is 11 × 11.
Therefore the square root of 64 × 121 is given by
[tex]\sqrt{(64)(121)} =\sqrt{(2)(2)(2)(2)(2)(2)(11)(11)} = (11)(2)(2)(2)=88[/tex]
Hence, the square root of 64×121 is 88.
Find out more information about square root here:
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Neo works as a computer technician and is usually paid $12.50 an hour. In one week he worked 35 hours normal time and 10 hours overtime for which he was paid double time. Calculate his pay for that week.
AB & BC are two sides of a regular octagon. Calculate the size of angle x.
Answer:
x = 45°
Step-by-step explanation:
the sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
here n = 8 ( number of sides of an octagon ) , then
sum = 180° × 6 = 1080°
the interior angles of a regular octagon are congruent , so
∠ ABC = 1080° ÷ 8 = 135°
x and 135° are adjacent angles on a straight line and sum to 180° , then
x = 180° - 135° = 45°
What is the value of StartFraction 1.6 times 10 Superscript 14 Baseline Over 3.2 times 10 Superscript 7 Baseline EndFraction in scientific notation? 0.5 times 10 Superscript 2 5.0 times 10 Superscript 3 5.0 times 10 Superscript 6 0.5 times 10 Superscript 7
Answer:
5.0 times 10 Superscript 6
Step-by-step explanation:
What is the value of StartFraction 1.6 times 10 Superscript 14 Baseline Over 3.2 times 10 Superscript 7 Baseline?
This is represented mathematically as:
1.6 × 10¹⁴/ 3.2 × 10⁷
Solving for this
1.6 × 10¹⁴/ 3.2 × 10⁷
= [1.6/3.2] × 10¹⁴-⁷
= 5 × 10⁶
= 5.0 times 10 Superscript 6
Answer:
the answer is C) 5.0 x 10^6
Step-by-step explanation:
just took the test on edge 2021
-21=-39k+-24
Please give me an explanation.
Answer:
-1/3
step-by-step explanation:
-21=-39k+-24
39k = -24 + 21
39k = -3 (divide each side by 39)
k = -1/3
can somone help i will give u brainlyst:)
Answer:
5 5/8
Step-by-step explanation:
1. you need to make the whole number a fraction so turn it into 9/1
2. multiply straight across
3. currently it's 45/8, you need to divide
4. divide 45/8 once
5. your answer of 5 5/8
Hi!
First, let's write 9 as a fraction:
[tex]\bold{\displaystyle\frac{9}{1}}[/tex]
Now multiply:
[tex]\bold{\displaystyle\frac{9}{1} *\frac{5}8} }[/tex]
multiply 9 times 5 and 1 times 8:
[tex]\bold{\displaystyle\frac{45}{8} }}[/tex]
Hence, the answer is
[tex]\boxed{\boxed{\bold{5\frac{5}{8} }}}[/tex] (as a mixed number)
Hope everything is clear.
Let me know if you have any other questions; if so, please use the comment section.
#LearningDoesn'tEnd
#LearningIsFun
8.01+24.192=
adding decimals thousands
Answer:
32.202
Step-by-step explanation:
In the morning, the temperature was -3°F. By mid-
afternoon, the temperature was 12°F. What was the
change in temperature between the morning and
afternoon?
Answer:
Step-by-step explanation:
To get from - 3 degrees to 0 takes 3 degrees to do
To get from 0 degrees to 12 takes 12 degrees Add
Total 15 degrees.
A video game store allows customers to rent games for $5 each. Customers can also buy a membership for $50 annually, and video games would only cost $2.50 each. Write and solve an equation to find the number of video games a customer would have to rent in a year in order for the two options to be equal.
Answer:
20 games
Step-by-step explanation:
Given
Customers:
[tex]Rent = \$5[/tex] per game
Members:
[tex]Membership = \$50[/tex]
[tex]Rent = \$2.50[/tex] per game
Required
Determine number of games for both to be equal
Represent the number of games with g
For regular customers;
g games cost: [tex]5 * g[/tex]
For Members
g games cost: [tex]50 + 2.50 * g[/tex]
Equate both expressions:
[tex]5 * g = 50 + 2.50 * g[/tex]
[tex]5g = 50 + 2.5 g[/tex]
Collect like terms
[tex]5g -2.5g= 50[/tex]
[tex]2.5g= 50[/tex]
Solve for g
[tex]g = 50/2.5[/tex]
[tex]g = 20[/tex]
What is the slope of the line parellel to this line -9x+3y=6
Answer: 3
Step-by-step explanation:
Solve the equation for x
bx – 10 = f
Answer:
x= f/b + 10/b
Step-by-step explanation:
f and b is one fraction + 10 and b is the other fraction
Given that A, O & B lie on a straight line segment, evaluate x.
The diagram is not drawn to scale.
Answer: x=10
Step-by-step explanation: A straight line is equal to 180 degrees, meaning that the sum of all angles is supplementary to 180 degrees. This can be written as 3x+88+x+36+2x-4=180. Adding like terms, it is simplified to 6x+120=180. Subtract 120 on both sides getting you 6x=60. Then divide; x=10
Sally had seventy - seven dollars to spend on eight books. After buying them she had thirteen dollars. How much did each book cost ?
Helppp
Answer:
$8 each
Step-by-step explanation:
We know Sally has $77 to spend. She bought 8 books, and was then left with $13. First, let's subtract 13 from 77 to see how much it cost in total.
77 - 13 = 64
Now, to find out how many each book cost, we have to divide the total amount by how many books Sally got.
64 / 8 = 8
Each book cost $8.
Determine whether the graph table or equation represents a linear or nonlinear function explain
Each time x goes up by 3, y goes up by 2. The rate of change is constant.
slope = (change in y)/(change in x) = 2/3
y intercept = 6 since this is where x = 0
The equation of this line is y = (2/3)x+6
Answer:
Linear, The rate of change is constant.
Step-by-step explanation:
-3 + 3 = 0
0 + 3 = 3
So x is constant
4 + 2 = 6
6 + 2 =8
So y is constant
James, Ann and Frank have 14 pencils total. James has 2 pencils, and Ann has 4 pencils. How many pencils does Frank have?
Hey!
All we have to do is subtract however many pencils the others have.
So, lets do James first.
14-2=12
Now we subtract Ann's.
12-4=8
So, Frank has 8 Pencils.
Hope this helps!
Answer:
8
Step-by-step explanation:
14-(2+4)= 8
Its fairly simple but if you don't pay attention and don't add it up correctly you will have problems in your answer. (Hope you found this helpful!)
Suppose you run 2 miles from your house to a friends house at a speed of 7 mi/hr. When the time comes to return home, you are tired and walk the same 2 miles at 3 mi/hr. How long did you spend running to your friends house? How long did you spend walking home?
Answer:
[tex]Time = 17.143\ mins[/tex] -- When going
[tex]Time = 40\ mins[/tex] -- When coming back
Step-by-step explanation:
Given
[tex]Speed\ to = 7mi/hr[/tex]
[tex]Speed\ from = 3mi/hr[/tex]
[tex]Distance = 2\ mi[/tex]
Required
Determine time taken to your friend's house
Determine time taken from your friend's house
Distance is calculated as:
[tex]Time = \frac{Distance}{Speed}[/tex]
From the question, we understand that:
[tex]Distance = 2\ mi[/tex]
When going:
[tex]Speed\ to = 7mi/hr[/tex]
So, we have:
[tex]Time = \frac{2mi}{7mi/hr}[/tex]
[tex]Time = \frac{2}{7}hr[/tex]
Express in Minutes
[tex]Time = \frac{2}{7} * 60[/tex]
[tex]Time = \frac{120}{7}[/tex]
[tex]Time = 17.143\ mins[/tex]
When coming back:
[tex]Speed\ from = 3mi/hr[/tex]
[tex]Time = \frac{2mi}{3mi/hr}[/tex]
[tex]Time = \frac{2}{3}hr[/tex]
Express in Minutes
[tex]Time = \frac{2}{3} * 60[/tex]
[tex]Time = \frac{120}{3}[/tex]
[tex]Time = 40\ mins[/tex]
answer plssssssssssssss
(02.08 MC) Multiply (x - 4) (x^2 -5x - 6). (6 points)
1)x^3-9x^2+14x+ 24
2)x^3-x^2+26x+ 24
3)x^3-5x^2+10x +24
4)x^3-15x^2+ 20x+ 24
Answer:
Your answer is: A) x^3-9x^2+14x+24
Multiply each term in the first expression by each term in the second expression and combine like terms.
Step-by-step explanation:
Hope this helped : )