Answer:
y = -1/2x - 1
Step-by-step explanation:
A line that is parallel to another will have the same slope. All we need to do is find the new y-intercept. We can do that by using the slope intercept form equation [ y = mx + b ].
1 = -1/2(-4) + b
1 = 2 + b
-1 = b
Now we can input the information we know and solved for back into the formula.
y = -1/2x - 1
Best of Luck!
Tavon has a gift card for $65 that loses $3 for each 30-day period it is not used. He has another gift card for $55 that loses $2.50 for each 30-day period it is not
used
a. Write and solve an equation for the number of 30-day periods until the value of the gift cards will be equal.
b. What will the value of each card be when they have equal value?
a. If x is the number of 30-day periods, then the equation can be used to find the number of 30-day periods until the values of the gift cards will be equal.
(Type an equation. Use integers or decimals for any numbers in the equation)
Answer:
a. 65 - 3 x = 55 - 2.5 x
ab. 20
b. 5
Step-by-step explanation:
The equations are y = 110 - 2.5x and y = 90 - 2x. Then the value of each card, when they have equal value, will be $10.
What is a linear equation?The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Let x be the number of days and y be the value of the card.
Tavon has a gift card for $110 that loses $2.50 for each 30-day period it is not used. He has another gift card for $90 that loses $2 for each 30-day period it is not used. Then the equations will be
y = 110 - 2.5x ...1
y = 90 - 2x ...2
From equations 1 and 2, we have
110 - 2.5x = 90 - 2x
20 = 0.5x
x = 40
And the value of y will be
y = 110 - 2.5(40)
y = 110 - 100
y = $10
The equations are y = 110 - 2.5x and y = 90 - 2x. Then the value of each card, when they have equal value, will be $10.
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Please help meeeeeweeeeeeeeeeee
What number should be added to 2/8 to -1/12 get ?
Answer:
-1/3
Step-by-step explanation:
this is the best answer
Carson is hiking a trail that is 12 kilometers long. one-fourth of the way through the course, he stops to rest. how many meter does carson have left to hike on the trail after he rests?
Answer:
9000 m
Step-by-step explanation:
One: Note that the answer is supposed to be in meters. It's easier if we just convert the 12 kilometers to meters now so we dont' have to worry about it later. 1 kilometer is 1,000 meters, so all we need to do is add three zeros to the end to make it meters:
12km=12,000m
Two: 1/4 means to divide by 4: 12,000/4= 3,000.
Three: The question is asking how much is LEFT. So we would do 12,000-3,000, which is 9000.
Which expressions is equivalent to 3x (2x– 3)?
(hint: select ALL that apply. Remember to distribute!)
Hi ;-)
[tex]3x(2x-3)=3x\cdot2x-3x\cdot3=\\\\=\boxed{6x^2-9x}=\boxed{-9x+6x^2}[/tex]
[tex]3x(2x - 3) = 3x2x - 3x3 \\ = 6 {x}^{2} - 9x \\ thank \: you[/tex]
solve for m.
-6(1+8m)=-342
Answer:
m is 7
Step-by-step explanation:
[tex]{ \sf{ - 6(1 + 8m) = - 342}}[/tex]
divide all sides by (-6) :
[tex]{ \sf{ \frac{ - 6(1 + 8m)}{ - 6} = \frac{ - 342}{ - 6} }} \\ \\ { \sf{1 + 8m = 57}}[/tex]
make m the subject:
[tex]{ \sf{8m = 56}} \\ { \sf{m = 7}}[/tex]
Find the length of the missing side
Answer:
x is 5 cm
Step-by-step explanation:
From pythogras theorem:
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
a is x cm
b is 12 cm
c is 13 cm
[tex] {x}^{2} + {12}^{2} = {13}^{2} \\ {x}^{2} = {13}^{2} - {12}^{2} \\ {x} = \sqrt{ {13}^{2} - {12}^{2} } \\ x = \sqrt{169 - 144} \\ x = \sqrt{25} \\ x = 5 \: cm[/tex]
Type the dimensional analysis setup you used to convert 15 years to minutes
Question 13 (5 points)
Find the distance between (-8, 4) and (-8, -2).
6 units
2 units
10 units
8 units
Answer:
Step-by-step explanation:
You need to tile 17 kitchen floors in a new apartment building each floor needs 309 tiles how many tiles will you need for all the floors
And explain
Answer:
You will need 5,253 tiles.
Step-by-step explanation:
17 kitchen floors x 309 tiles for each floor = 5,253 tiles total
Answer:
The answer is 5253
Step-by-step explanation:
We will use the unitary method
Make two columns one for kitchen floors and one for tiles
In the first row you will put 1 kitchen floor and 309 tiles
In the second row you will put 17 kitchen floors and x tiles
Then crossmultiply and 17x309 is equal to 5253
simplify square root of 3/8
please give steps!!
Step-by-step explanation:
Write the expression
[tex] \sqrt{ \frac{3}{8} } [/tex]
Let make the denominator a perfect square that is a multiple of 8. 16 is a multiple of 8 and a perfect square so
[tex] \sqrt{ \frac{3}{8} } = \sqrt{ \frac{6}{16} } [/tex]
Know that
[tex] \sqrt{ \frac{x}{y} } = \frac{ \sqrt{x} }{ \sqrt{y} } [/tex]
So
[tex] \sqrt{ \frac{6}{16} } = \frac{ \sqrt{6} }{4} [/tex]
The simplified form of the square root of 3/8 is (√6) / 4.
To simplify the square root of 3/8, we can simplify the numerator and denominator separately.
For the numerator, we take the square root of 3:
√3
For the denominator, we take the square root of 8:
√8
Now, let's simplify each of them:
√3 cannot be simplified further because 3 is a prime number.
√8 can be simplified by factoring out the perfect square:
√8 = √(4 × 2)
Since 4 is a perfect square (2² = 4), we can take it out of the square root:
√8 = 2√2
Now, let's put the simplified numerator and denominator together:
√3/8 = √3 / (2√2)
To rationalize the denominator, we multiply the expression by the conjugate of the denominator:
(√3 / (2√2)) × (√2 / √2) = (√3√2) / (2√2√2)
Simplifying the denominator:
(√3√2) / (2√4) = (√6) / (2 × 2)
Simplifying further:
(√6) / (2×2) = (√6) / 4
Therefore, the simplified form of the square root of 3/8 is (√6) / 4.
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Noel can stack 4 blocks in 2 seconds. At this rate, how many blocks can he stack in one minute?
Answer:
120
Step-by-step explanation:
There are 60 seconds in one minute so you would 4 times 30 since Noel can STACK 4 BLOCKS per 2 seconds.
Please solve its due tomorrow
Answer:
8. 16,648
9. 1,394
10. 3
11. 9,570
Step-by-step explanation:
8. Total means all together so you need to add all of the attendants together.
2118 + 3391 + 4785 + 6354 = 16,648
9. How many more signifies the need to use subtraction to get your answer so you need to subtract the number of attendants in 2011(3,391) from the number of attendants in 2012(4,785)
4,785 - 3,391 = 1,394
10. How many times more signifies the need to use division in order to get the answer since it is the opposite of multiplication. So, you need to divide the number of attendants in 2010(2,118) from the number of attendants in 2013(6,354)
6,354 / 2,118 = 3
11. Twice the attendance signifies the need to use multiplication to find your answer so you need to multiply the number of attendants in 2012(4,785) twice(2).
4,785 x 2 = 9,570
Hope this helped! <3
Hello! i need help with these 3 questions.
-Let U= {1,2,3,4,5,6,7,8,9,10}, A={2,4,6,8} B={1,2,3,4}, C={5,6,9}
Answer:
10 is B
11 is C
12 is C. Simple set rules
7/9+6/8+6/3=
please help me
Hi ;-)
7/9 + 6/8 + 6/3 = 7/8 + 3/4 + 2 =
= 28/32 + 24/32 + 2 = 52/32 + 2 =
= 1 20/32 + 2 = 3 20/32 = 3 5/8
Answer:
the answer is three and nineteen over thirty-six
[tex]3 \19 \36[/tex]
pls pls help!!!!!!!!!!
9514 1404 393
Answer:
5
Step-by-step explanation:
Let f represent the number of friends. Their total earnings are ...
21f = 105
f = 105/21 = 5 . . . . . divide by the coefficient of f
There are 5 friends in the group.
11) There are 32 students in a closs. Nine of those students are
women. What percent ere mena (round to the nearest tenth)
3 friends share 2 pizzas evenly. About how much pizza will each friend get?
Answer:
2/3
Step-by-step explanation:
Pick up one of the pizzas. Cut it into three equal amounts. Do the same with the other pizza. Each slice is called 1/3.
Each person gets 1/3 + 1/3 which is called 2/3.
The amount of pizza each friend will get, as expressed as a fraction is: 2/3.
What are Fractions?Fractions can be described as numerical quantities that are a part of a whole number but are not whole numbers.
There are 2 pizzas to be shared among 3 friends. Since 3 is greater than 2, the amount each will get will be a fraction.
Each friend will get: 2/3 pizzas.
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25.5 divided by 1.25
Answer:
Step-by-step explanation:
Answer:
20.4
Step-by-step explanation:
I have no explanation for this but hope this helps
Find an equation of the set of all points equidistant from the points
A(−2, 6, 3) and B(5, 3, −3).
We need to find the equation which is equidistant to the given points.
[tex]A(-2,6,3)[/tex] and [tex]B(5,3,-3)[/tex]
This can be done using the distance formula.
Let us take a point [tex]P(x,y,z)[/tex] which is equidistant from both points so
[tex]\sqrt{(x+2)^2+(y-6)^2+(z-3)^2}=\sqrt{(x-5)^2+(y-3)^2+(z+3)^2}\\\Rightarrow y^2-12y+x^2+4x+z^2+49-6z=y^2-6y+x^2+z^2+6z+43-10x\\\Rightarrow 7x-3y-2z+1=0[/tex]
The required equation is [tex]7x-3y-2z+1=0[/tex]
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Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared. q^2+7q
The square to make a perfect square trinomial as a binomial squared is
(q + 7/2q)² - 49/4.
We have been given that the expression -
q² + 7q.
We have to complete the square to make a perfect square trinomial. Then, write the result as a binomial squared.
We know that a perfect square trinomial is in form .
a² + 2ab + b².
To convert our given expression into perfect square trinomial, we need to add and subtract (b/2)² from our given expression.
We can see that value of b is 7, so we need to add and subtract (7/2)² to our expression as:
To complete the square, we will add the square of the half of the coefficient of q to the equation
Coefficient of q = 7
Half of the coefficient = 7/2
Square of the result = (7/2)² = 49/4
Adding 49/4 to the equation will make it a perfect square to have
Upon comparing our expression with , we can see that ,
(a + b)² = a² + 2ab + b²
now we can get
q² + 7q + 49/4 - 49/4
(q + 7/2q)² - 49/4
Therefore, our perfect square would be (q + 7/2q)² - 49/4 .
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Select two ratios that are equivalent to 7:107:107, colon, 10.
Answer:
107:107
Step-by-step explanation:
107:107 are the equivalent ratios as both numbers are same.
If m ABC=122 and m ABD=71 then m DBC =
Answer:
Angle DBC = 51
Step-by-step explanation:
Angle ABC = angle ABD + angle DBC
We are given that angle ABC = 122 and angle ABD = 71
So 122 = 71 + angle DBC
* Solve for angle DBC *
Subtract 71 from both sides
122 - 71 = 71 - 71 + angle DBC
51 = angle DBC
A 5-foot wide
hallway requires
440.5 ft2 of carpet
to cover. How
long is the
hallway, in feet?
Answer:
length × width = area
440.5 = 5 × length
length = 440.5 / 5
length = 88.1
so haway is 88.1 foot long
the length of the hallway is 88.1 feet. To find the length of the hallway, we need to use the given information about the width of the hallway and the total area of the carpet required to cover it.
Given:
Width of the hallway = 5 feet
Area of carpet required = 440.5 ft^2
Let's denote the length of the hallway as "L" (in feet).
The area of a rectangle (such as the hallway) is given by the formula:
Area = Length * Width
In this case, the area is given as 440.5 ft^2, and the width is given as 5 feet. Now we can set up the equation:
440.5 = L * 5
To find the length (L), divide both sides by 5:
L = 440.5 / 5
L = 88.1
So, the length of the hallway is 88.1 feet.
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Find the area of the sector of the circle Radius. 7kmCentral angle. 2pi over 3
Show steps
9514 1404 393
Answer:
51.3 km²
Step-by-step explanation:
The area formula is ...
A = 1/2r²θ . . . . where θ is the central angle in radians
A = 1/2(7 km)²(2π/3) = 49π/3 km² ≈ 51.3 km²
Which number is irrational?
Answer:
√11 is the irrational number
Explanation:
Irrational numbers are which numbers that can't be expressed as p/q form that are irrational numbers. root 11 cant be expressed as p/q form so, this is an irrational number.
Complete the missing ? That will make the sentences true
I’m confused on what to do please help!!
Answer:
1.21 ) 8
1.22) 6
1.23) €
1.24)⊂
1.25)=
Answer:
[tex]1)7 \\ 2)6 \\ 3) > \\ 4)0 \\ 5)phy[/tex]
Which is an example of a unit rate?
Answer:
A unit rate means a rate for one of something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate.
Jarell is grocery shopping for his BBQ cookout this weekend. He is grilling 13lb. burgers and expects about 20 people. How many whole lbs. of ground beef should be purchase?
Jarrell should purchase 7 lbs of ground beef.
Number of attendees = 20
Fraction of burger per person = 1/3 lbs
Total fraction of burger required to feed 20 persons :
Number of attendees × fraction per person
20 × 1/3 = 6.667
The number of whole grouhd beef that should be purchased is 7 lbs
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6. Find the sum of whole number divisible by 3 and lies between 100 and 200.
Answer:
4950
Step-by-step explanation:
first find the smallest multiple of 3 thats >100, 3*33=99, so 3*34=102 is the smallest multiple of 3 >100.
next find the greatest multiple of 3 <200, 3*66=198 which is the greatest multiple of 3<200
34-66+1=number of terms=33. then find the average of the terms: 102+198/2=150. 150*33=4950. the answer should be 4950
Answer:
Step-by-step explanation:
The first number in the sequence = 102
The last number = 198
The number of terms =
L = a1 + (n-1)*d
198 = 102 + (n- 1)*3 Subtract 102
198 - 102 = (n - 1)* 3
96 = (n - 1)*3 divide by 3
32 = n - 1 add 1
33 = n
Sum = (a1 + L ) * n/2
sum = (102+198)*33/2
sum = 300 * 33/2
sum = 150 * 33
sum = 4950