Answer:
It travels 530 more miles on the first trip than the second trip and travels 469 more miles on the first trip than the third trip.
Step-by-step explanation:
Take 872-342=530 so then that's your answer to the first part of the question, now do the same thing just plug in the different numbers: 872-403=469
Sean's father decided that the number of hours Sean should study daily is equal to the equation y + 4 16. where y is the
number of study hours and z is the number of relaxation hours. Sesn's mother believes that the number of hours Sean should study
dally should be equal to the equation 2y + 5z = 32. Sean's parents have decided to use both equations to determine the number
of hours Sean should study and relax What is an equivalent equation to the addition of Sean's mother's equation and Sean's father's
equation? Select all that apply.
Answer and explanation:
We add both equations to get a simultaneous equation
y+4z=16
2y+5z=32
We solve the equations using elimination method:
Multiply equation 1 by 5 and equation 2 by 4 to cancel out z
5y+20z=80
8y+20z=160
-3y=-80
Y=26.7
Substitute y=26.7 in equation 1
26.7+4z=16
4z=16-26.7
z= -2.67
y+z=26.7+(-2.67)= 24.03
Sheila's class recycles a total of 6 pounds of paper in 2
weeks. After 5 weeks, how many pounds of paper will
Sheila's class have recycled?
Answer:
It should be 15 pounds
Step-by-step explanation:
If you divide 5 weeks (the amount you need) by 2 weeks (the current ratio 6:2) then you get 2.5. Lastly just multiply 6 pounds to it (the other part of the ratio/ pounds per 2 weeks)
A loan of $36,000 is made at 6.75% interest, compounded annually. After how many years will the amount due reach $57,000 or more?
Answer:
After 7.04 years the amount will reach $57,000 or more
Step-by-step explanation:
The rule of the compound interest is [tex]A=P(1+\frac{r}{n})^{nt}[/tex] , where
A is the new valueP is the initial valuer is the rate in decimaln is the period of the timet is the time∵ A loan of $36,000 is made at 6.75% interest, compounded annually
∴ P = 36,000
∴ r = 6.75% = 6.75 ÷ 100 = 0.0675
∴ n = 1 ⇒ compounded annually
∵ The amount after t years will reach $57,000 or more
∴ A = 57,000
→ To find t substitute these values in the rule above
∵ 57,000 = 36,000 [tex](1+\frac{0.0675}{1})^{(1)(t)}[/tex]
∴ 57,000 = 36,000 [tex](1.0675)^{t}[/tex]
→ Divide both sides by 36,000
∵ [tex]\frac{19}{12}[/tex] = [tex](1.0675)^{t}[/tex]
→ Insert ㏒ in both sides
∴ ㏒( [tex]\frac{19}{12}[/tex] ) = ㏒ [tex](1.0675)^{t}[/tex]
→ Remember ㏒[tex]a^{n}[/tex] = n ㏒([tex]a[/tex])
∵ ㏒( [tex]\frac{19}{12}[/tex] ) = t ㏒(1.0675)
→ Divide both sides by ㏒(1.0675)
∴ 7.035151337 = t
∴ t ≅ 7.04
∴ After 7.04 years the amount will reach $57,000 or more
In the xy-plane, the line with equation
y = 4x - 28 crosses the x-axis at the point
with coordinates (a, b). What is the value
of a?
A. -28
B. -2
C. O
D. 5
E. 7
=======================================================
Explanation:
Any point on the x axis always has its y coordinate equal to 0.
Plug in y = 0 and solve for x
y = 4x-28
0 = 4x-28
4x-28 = 0
4x = 28
x = 28/4
x = 7
Therefore, the point (7, 0) is on the line y = 4x-28 and also on the x axis. This is known as an x intercept.
Comparing (7, 0) this to (a, b) shows that a = 7 and b = 0.
2 3/8 x 16 pls urgent
Answer:
38x / 38
Step-by-step explanation:
2 3/8 = 19/8
19/8 x16
multiply --> a x b/c = a x b over c
= 19X x 16 over 8
= 304x over 8
divide
= 38x / 38
please help :( Find m
156°
78°
162°
81°
165
Is your answer
ggg do gets go t ra di
About how much should the gratuity for the restaurant server be? Round the percent of gratuity to the nearest benchmark percent to find the answer.
$ _____
The gratuity of the hotel server has to be $8.
How to solve for the gratuityThe tax of the restaurant server is 8.5 percent
We have tro find this based on salary
40 dollars x 0.85 = 34
The income 34 - 18
= 16
Half of 16 = 8
Hence the amount that is the percentage of gratuity is 8 percent.
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Given the relation y = 7x2 + 3, if the input is 4, what is the output?
115
116
118
120
The answer would be
155
Have a good day bye!
Answer:
ur answer would be 115!
Step-by-step explanation:
I got it right on the test!!
:--)
Perform the indicated operations. Write answer in descending order.
Add -3x, 5x + y, and 7x - 8 - 3y
The required sum of -3x, 5x + y, and 7x - 8 - 3y in descending order is 9x - 2y - 8.
What is simplification?Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression. The goal is to obtain an expression that is easier to work with, manipulate, or solve.
Here,
To add -3x, 5x + y, and 7x - 8 - 3y, we can first combine like terms.
Group the x-terms together:
-3x + 5x + 7x = 9x
Group the y-terms together:
y - 3y = -2y
Group the constants together:
-8
Putting it all together, we get:
9x - 2y - 8
Therefore, the sum of -3x, 5x + y, and 7x - 8 - 3y in descending order is 9x - 2y - 8.
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Together Kris and Julio scored 40 points in the game. Julio scored 3 times as many points as Kris this time. How many points did Kris and Julio each score?
Evaluate -2x + -3y if x = 10 and y = -6
In rhombus FGHJ, m∠1=43°.
What is m∠2?
Answer:
that first guy its trash. The real answer is 47
Step-by-step explanation:
It is 47 because the rhombus ia making 4 triangles which are all the same shape, meaning all triangles make up 180 degress. we see one angle is 90 degrees since the four trianglea meet at tue middle. so we subtract 43 degrees from 90 which makes 47 degrees.
A parent is using a garden hose to fill up a small inflatable pool for her young child. The
pool has a capacity of 90 gallons. She turns the water off after 5 minutes, but leaves the
hose in the pool for another 3 minutes before putting it away.
In this situation, the relationship between the gallons of water in the pool and the 8
minutes since the parent started filling the pool can be seen as a function.
1. In that function, which variable is independent? Which one is dependent?
Answer:
The independent is the 90 gallons and the dependent is the 8 minutes.
Hope this helps!
Step-by-step explanation:
Marge home is Is heated by hot water circulating in pipes recently the system developed a Smalley Inn loses 1 1/5 mm every 30 minutes uses complex fraction to find the amount of water in system per minute
Answer:
why are we stilll here
Step-by-step explanation:
I really need the answer to this
Answer:
Y inter=4
Slope= -5/2
Step-by-step explanation:
First find the slope y1-y2/x1-x2
Find two points (0,4) and (2,-1) Subtract 4-(-1)/0-2
-5/2 The y intercept is 4 because thats where x is 0
So the the equation is y=-5/2x+4
Where -5/2 is slope and 4 is Y intercept
What is the answer of the chart (picture) please help
Answer:
DARK Blue! 0.4!
Step-by-step explanation:
The person at (0, 1) needs a bottled water. He moved to the right on a slope of -4. Where can you find him to give him the water he ordered?
Answer:
cjsbg sorry
Step-by-step explanation:
not haha
how many ways can a chairperson and a vice chairperson be selected from a committee of 25 senators?
Answer:
hey I gess it can help you.
THE VICE CHAIRPERSON CAN BE SELECTED BY 1 OR 29 CANDIDATES OR. 1/30*1/29=1/870 OR 870 POSSIBLE DIFFERENT SELECTIONS.
If 2 more than 2/3 of a certain number is
8, then the number is
Answer:
4/3 because 2/3x2/1=4/3×2=8/6÷2=4/3
Round 1,627,187 to nearest ten
Answer:1,627,190
Step-by-step explanation:
Answer:
1,627,190
Step-by-step explanation:
:D
Find x AND the length of each side if FGH is an equilateral triangle. (Round to the nearest tenth if needed)
Answer:
x = 3
Each side is 19
Step-by-step explanation:
HF = FG = HG cuz this is an equilateral triangle, meaning all sides are equal.
What is the Sine of 0?
Answer:
0
Step-by-step explanation:
Next consider another way of saying exactly the same thing, but by describing the angle itself and the unit circle, not just the triangle. There is no vertical component of the angle: The vertical component of the angle is 0, so, the sine of 0° is 0.
Answer
by describing the angle itself and the unit circle, not just the triangle. There is no vertical component of the angle: The vertical component of the angle is 0, so, the sine of 0° is 0.
Step-by-step explanation:
If cos(x) = 3/4 and tan(x) < 0, what is cos(2x)
Answer:
C. 1/8
Step-by-step explanation:
on edge
Answer:
1/8
Step-by-step explanation:
In triangle OPQ, p = 38 cm, q = 29 cm and Angle O=39º. Find the length of o, to the nearest
centimeter.
Answer:
The length of o is 24 centimeters
Step-by-step explanation:
In Δ OPQ
∵ Side p is opposite to ∠P
∵ Side q is opposite to ∠Q
∵ Side o is opposite to ∠O
→ To find side o we must use the cosine rule
∴ o = [tex]\sqrt{p^{2}+q^{2}-2(p)(q).cos(O) }[/tex]
∵ p = 38 cm
∵ q = 29 cm
∵ m∠O = 39°
→ Substitute them in the rule to find o
∴ o = [tex]\sqrt{(38)^{2}+(29)^{2}-2(38)(29).cos(39)}[/tex]
∴ o = 23.92008154
→ Round it to the nearest centimeter (whole number)
∴ o = 24 centimeters
∴ The length of o is 24 centimeters
What is the median of the numbers ?
Answer:
4.5
Step-by-step explanation:
Its the middle of all of the numbers
Answer:
Its 5
Step-by-step explanation:
3 and 4 has 4 X's
6 has also 4 X's
so it leaves with 5.
WHAT ARE THE FACTORS OF 57
A copy machine makes 126 copies in 4 minutes and 30 seconds. How many copies does it make per minute?
Answer:
it makes about 41 copies per minute
Please help! Find m
160°
260°
50°
80°
Answer:
The answer is 80°.
Step-by-step explanation:
360° - 100° = 260°
260° - 100° = 160°
160° / 2 = 80°
* the theorem is m < UTS = 1/2 (m < UTS - m < US)
* m = measure
The measure of m<UTS is 80 degree.
The correct option is D.
What is Arc?An "arc" is a smooth curve that connects two points in mathematics. In general, an arc is a section of a circle. It is essentially a portion of a circle's circumference.
A circle's arc is defined as a portion or segment of its circumference. A chord of a circle is a straight line that can be created by connecting the two ends of an arc. A semicircular arc is one whose length is exactly half that of a circle.
We have,
From the figure we can write
m < UTS = 1/2 (m < UTS - m < US)
As, m <UTS = 360 and arc US = 100
= 1/2(360° - 100° - 100)
= 160° / 2
= 80°
Thus, m< UTS is 80 degree.
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-2 (1 - 4x)=3x +8 is
Answer:
= 2
1. Rearrange terms
2.Distribute
3. add 2 to both sides of the equation
4.Simplify
5.Subtract 3 from both sides of the equation
6. Simplify again
7. Divide both sides of the equation by the same term
8. Simplify one more time
Which line is PARALLEL to the line 5x - 2y = 18?
Answer:
y = 9 + 5/2x. this is in standard form (y = mx + b)