Describe how Jason can check his answer
Answer:The equation that was given in the question is:
[tex] - 8.5 \times - 3.5 \times = - 78[/tex]
Also,the value of x given is 6.5
Therefore, we'll put the value of x back into the equation and this will be:
[tex] - 8.5 \times - 3.5 \times = - 78 \\ - 8.5(6.5) - 3.5(6.5) \\ - 55.25 + - 22.75 \\ = - 78[/tex]
Therefore, the answer is correct
A car driver takes a trip from his house across the country. After two days he has traveled 80
miles. Fill out the table below to show the relationship between days, x, and miles traveled, y.
Miles, y
Days, x
1
2
3
6
8
A gym is offering a deal to members. Customers can sign up by paying a registration fee of $100 and $28 per month. The function that models this situation is c(m) = 28m + 100, where m is the number of months and c(m) is the cost of becoming a member.
Determine:
6. the shape of the graph
7. the independent and dependent variables
8. the domain and range
9. Interpret the slope and y-intercept values
10. How much will the membership cost for a whole year?
6) The equation given is written in standard form of writing the equation of a line y = mx + b
Hence the shape of the graph that denotes the equation c(m) = 28m + 100 is a straight line
7) The independent variable is a variable that can stand alone while the dependent variable is depending on all other variables in an expression.
From the given equation c(m) = 28m + 100, the independent variable is (m) while the dependent variable is c(m)
8) The domain is the input value for which the equation exists while the rage is the output value for which the equation exists. For the given expression, the value of the expression will exist at a point where c(m) > 0
28m + 100 > 0
28m > -100
m > -100/28
m > --25/7
The domain is m > -25/7 while the range is c(m) > 0
9) The comparing the equation with y = xm+ b
where x is the slope
28m = mx
x = 28
This shows that the rate of change of cost per member is $28
The y-intercept is the point where the number of months is 0
If m = 0
c(0) = 28(0) + 100
c(0) = 100
The initial cost of membership in the first month is $100
10) Given the formula c(m) = 28m + 100
For a whole year, m = 12
c(12) = 28(12) + 100
c(12) = 336 + 100
c(12) = 436
Hence the membership will cost $436 for the whole year
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look at screenshot answer question and i will mark you brainliest
Answer:
[tex]y= -3x+9[/tex]
Step-by-step explanation:
We can easily see from the graph that the equation intersecs the x-axis at p=3 and the y-axis at q=9. Now there is a trick to quickly write the equation in these situations, and it is
[tex]\frac xp + \frac yq = 1[/tex] where p and q are the length of the segments (with their sign!!) the line cuts from the origin.
At this point, it's just a matter of writing the equation in the wanted form:
[tex]\frac x3 + \frac y9 =1\\9\frac x3 + y = 9\\y= -3x+9[/tex]
Which is the equation you want.
If you prefer a more traditional approach, you can determine the slope right away by noticing that when the y coordinate moves from 9 to 0, ie it decreases by 9, the x coordinate goes from 0 to 3, and the slope is [tex]m= {\Delta y \over \Delta x} = {{-9}\over{3}} = -3[/tex]
At a picnic, 12 people shared 4 large sandwiche
equally. How much of a sandwich did each
person get to eat?
Answer:
1/3
Step-by-step explanation:
Answer:
each person ate 1/3 of a sandwich
Step-by-step explanation:
PLEASE HELP! NEED IT NOW!
Calculate the circumference and area of a circle with the given measure. Use 3.14 for p.
a. radius = 3 cm
b. diameter = 4 ft
Answer:
ok
Step-by-step explanation: 3cm i believe
A box of cereal states that there are 96 calories in a
3
4-cup serving. What is the unit rate for calories per cup? How many calories are there in 3 cups of the cereal?
Answer: 96
Step-by-step explanation:
96/3 = 32 per cup 32 x 3 = 96
One number is twice another number. The sum of their reciprocals is 6. What are the numbers?
Answer:
8 and 2
Step-by-step explanation:
Answer:
1/4 and 1/2
Step-by-step explanation:
One number is twice another number.
x and 2x
The sum of their reciprocals is 6
[tex]\frac{1}{x}[/tex] + [tex]\frac{1}{2x}[/tex] = 6
Use common denominator of 2x
[tex]\frac{2}{2x}[/tex] + [tex]\frac{1}{2x}[/tex] = 6
[tex]\frac{3}{2x}[/tex] = 6
multiply botn sides by 2x
3 = 12x
Divide both sides by 12
1/4 = x
x = 1/4
2x = 1/2
The numbers are
1/4 and 1/2
Six children collect 45 pencils. 20% of the pencils need sharpening. How many pencils need
sharpening?
Answer:
9
Step-by-step explanation:
45*2/10=45*1/5=9
Answer:
9
Step-by-step explanation:
Question 11 Objective: Solve for unknown side lengths of right triangles using trigonometric ratios. A right triangle has one angle that measure 27. The adjacent leg measures 29.6 cm and the hypotenuse measures 40 cm. What is the approximate area of the triangle? Round to the nearest tenth. Area of a triangle = 1/2bh а
Answer:
A≈ 268.76 sq cm.
Step-by-step explanation:
sine 27 = opposite side/hypotenuse
sine 27 = x/40
sin 27(40) = x
18.15961999 =x
18.16 = x
A = 1/2(29.6)(18.1596199)
A = 268.7623759
A≈ 268.76 sq cm.
The formula for the area of a triangle is A=1/2bh, where b is the base of the triangle and h is the height of the triangle. The area of the triangular sail of a sailboat is 126ft^2. The base is 12 ft. Find the height of the sail.
(Show steps please)
Answer:
H=21ft
Step-by-step explanation:
Height=2•Area/Base
Area=126ft^2
Base=12ft.
H=2•126/12=21ft
H=21ft
Hope this helps :)
Simplify. (−5)^5(−5)^−6
Answer:
Step-by-step explanation:
In exponents multiplication, if bases are same, add the powers
[tex]a^{m}*a^{n} =a^{m+n}\\\\\\(-5)^{5}*(-5)^{-6}=9-5)^{(-5) + (-6)} = (-5)^{-11}[/tex]
Answer:
Your answer would be:
-1/5 or -0.2
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
give the equation of the horizontal asymptote of the function shown below. g(x)=2x/x+5
Answer:
y=2
Step-by-step explanation:
Because the degrees of the numerator and denominator are equal to each other, then the equation of the horizontal asymptote of the function is y=2 since the end behavior of the function is equal to 2x/x=2.
Suppose a spherical balloon is inflated at the rate of 10 cubic centimeters per minute. How fast is the radius of the balloon increasing when the radius is 5 cm
Answer: The radius increases by 0.032 cm/minute.
Step-by-step explanation:
The volume, V, of a sphere is V = (4/3)πr^3.
For the volume to increase at a rate of 10cc (cubic centimeters) per minute, the radius must increase such that the additional radius (r)^3 = 10
V = (4/3)πr^3
V = (4/3)π5^3
V = 524 cc
We add 10 cc to have the balloon hold 544 cc. We calculate the increase in radius:
534=(4/3)*pi*x^3
We can now calculate the new radius, x.
x = 5.032 cm
The radius increased by 0.032 cm/minute.
Solve the equation 5.3g + 9 = 2.3g+ 15
a. Find the value of g
Answer:
g=2
Step-by-step explanation:
5.3g+9=2.3g+15
5.3g-2.3g=15-9
3g=6
g=6÷3
=2
Answer:
g = 2
Step-by-step explanation:
5.3g + 9 = 2.3g + 15
Subtract 2.3g from both sides
3g + 9 = 15
Subtract 9 from both sides
3g = 6
Divide both sides by 3
g = 2
Which of the following triangles could lie on the graph with the same rise over run in Question # 3?
A. A triangle with a rise of 10 and a run of 30
B. A triangle with a rise of 30 and a run of 10
C. A triangle with a rise of 10 and a run of 40
D. A triangle with a rise of 2 and a run of 5
Answer:
B.
Step-by-step explanation:
40 pts & Brainliest to first Correct. PLZ HELP ASAP
Answer: [tex]16x^4y^2a^6[/tex]
Step-by-step explanation:
just apply to the power of 2 to every term
-4 times -4 is 16
x^2 to power of 2 is 2 times 2 so x^4
y^2 is y^2
a^3 to power of 2 is 3 x 2 = 6 so a^6
16x^4y^2a^6
Answer:
16x^4y^2a^6
Step-by-step explanation:
Do this step by step
16x^4y^2a^6
Please give brainliest!
will give brainliest
Answer:
Steeper: y=-3/2x+1/2 AND y=-2x+7/3 AND y=-7/4x+3/2
Less Steep: y=-4/3x+2/3 AND y=-8/7x+4/7
Step-by-step explanation:
Hope this helps :)
Divide 35 in the ratio 3:2
[tex]3x + 2x = 35 \\ 5x = -35 \\ x = 7 \\ 3x = 3 \times 7 = 21 \\ 2 x \: \: \: \: 2 \times 7 = 14 \\ 21 \: and \: 14 \: answer[/tex]
hopefully it's helpWhat is the measure of _____?
Answer:
95 degrees
Step-by-step explanation:
The sum of all the angles need to come to 360 degrees. We already have 2 90 degree angles, together 180 degrees. Subtract from 360 to get 180, so we know the other two angles together need to equal 180. x + x + 10 = 180
Add common terms, then subtract 10: 2x = 170
Divide by 2: x = 85
So angle F is 85 + 10, or 95 degrees.
Solve. −6.6x=−4 What is the solution to the equation? Enter your answer as a simplified fraction in the box. x =
Answer:
20/33
Step-by-step explanation:
i took the test
Answer:
x = 20/33
Step-by-step explanation:
−6.6x = −4
Divide both sides by -6.6
x = -4/(-6.6)
x = 40/66
x = 20/33
Answer: x = 20/33
30 x 50 x 60 - 100 +150
Algebraic Proof
Match the justification to each step of the deductive reasoning about this picture. Please Help!
The following are deductive reasoning for each statement in the algebraic proof given:
1. CD + DE = CE (Segment Addition Postulate)
2. 8 + (3x + 7) = 6x (Substitution)
3. 3x + 15 = 6x (Combining like terms)
4. 15 = 3x (Subtraction Property of Equality)
5. x = 5 (Division Property of Equality)
6. CE = 6(5) (Substitution)
Recall:
The Segment Addition Postulate states that when a point lies between two endpoints on a line segment, the length of the larger segment equals the sum of the lengths of the two smaller segments formed.Thus, the following are deductive reasoning for each statement in the algebraic proof given:
1. CD + DE = CE (Segment Addition Postulate)
2. 8 + (3x + 7) = 6x (Substitution)
Rationale: Plug in the values of CD, DE and CE3. 3x + 15 = 6x (Combining like terms)
Rationale: Add 8 and 7 together4. 15 = 3x (Subtraction Property of Equality)
Rationale: Subtract 3x from each side of the equation.5. x = 5 (Division Property of Equality)
Rationale: Divide each side of the equation by 3).6. CE = 6(5) (Substitution)
Rationale: Plugging in the value of x into "6x"Learn more about Segment Addition Postulate on:
https://brainly.com/question/2134445
2x+3y=5x-y solutions
[tex]2 \times + 3y = 5x - y[/tex]
Solution:[tex]2 \times + 3y = 5x - y
[/tex] Move the variables to the left
[tex]2 \times + 3y - 5 \times + y = 0[/tex]
Collect like terms
[tex] - 3 \times + 4y = 0[/tex]
Change the signs
Answer:[tex]3 \times - 4y = 0[/tex]
100 if u get this right!
Answer:
■ y = m x
m = slope
Here m = 4/3
,*,slope is 4/3
Jenny went to the store with $10 and returned home
with 5 gallons of milk and $1.30 in change. What was
the cost of each gallon of milk?
Answer:
The milk is priced at $1.74/gallon
Step-by-step explanation:
If Jenny started out with $10 and ended up with $1.30 in change, she must have spent $10 - $1.30, or $8.70.
$8.70
Then the unit price for the milk is ---------- = $1.74 per gallon
5 gal
Simplify the following.
can someone pls help 25+ Points And BRAINLIEST.
I know the answer so give step by step explanation.
Answer:
(2f-17h)/24k
Step-by-step explanation:
We can make the common denominator for 3k and 8k in the form of 24k, so we get (multiply the first fraction by 8 and the second one by 3 to get 24k on each denominator) (8f-32h)/3k-(6f-15h)/24k. Now we can just subtract the numerators :
8f-32h-6f+15h (sign gets flipped on 6f and 15h), so we get
(2f-17h)/24k
Find the perimeter. Simplify your answer.
Please help me!
A group of 7 students went bowling. Each student rented bowling shoes for $x and spent $15 on snacks. A group of 6 adults also went bowling and paid twice as much to rent bowling shoes as each student. Each adult also spent $12.50 on snacks. If both groups spent the same total amount, what was the cost for each adult to rent bowling shoes?
Answer:
$3.52 (rounded to nearest penny)
Step-by-step explanation:
7x + 15(7) = 12(2x) + 12.5(6)
7x + 105 = 24x + 75
105 = 17x + 75
30 = 17x
1.76 = x
3.52 = 2x
The cost for each adult to rent bowling shoes is $12.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
Group I:
Total students= 7
Rent of bowling= $x
Spent on snacks= $15
Then, total amount spent by 7 children = 7x+ 15(7)
Group II:
Total students= 6
Rent of bowling= $2x
Spent on snacks= $12.50
Then, total amount spent by 7 children = 6(2x)+ 6 (12.50)
So, If both groups spent the same total amount
7x+ 105= 12x + 75
12x- 7x = 105- 75
5x = 30
x= 6
Hence, the cost for each adult to rent bowling shoes is $12.
Learn more about equation here:
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Marion and Stefan played a game called "Go." Marion won five times the difference between the number of games Stefan won and the number four. If Marion won fifteen games, then how many games did Stefan win?
Answer:
7
Step-by-step explanation:
Assume Stefan won x games,
Marion would win: 5(x-4) games,
5(x-4)= 15
5x-20= 15
5x= 15+20
5x= 35
x= 7.
What is the slope for M(4,-8 negative) N(6,-1 negative)
Answer:
m=7/2
Step-by-step explanation:
