Problem 2) write an equation for the following situation.
Jacob raises goats. He spends $75 to set up his goat pen. He has to spend $12 per day to feed
his goats.
Answer:
75 + 12d
Step-by-step explanation:
he pays $75 dollars up front. he then pays a rate of $12 per day
A coffee shop sells lattes for $4 and cappuccinos for $3. Last Friday, they sold 78 drinks for a total of $252.
How many cappuccinos were sold?
Number of sold cappuccinos will be 60.
What is linear expression?
A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.
Given that;
A coffee shop sells lattes for $4 and cappuccinos for $3.
Last Friday, they sold 78 drinks for a total of $252.
Now,
Let number of lattes = x
Number of cappuccinos = y
Since, Last Friday, they sold 78 drinks.
So, we can formulate;
x + y = 78 ... (i)
And, Last Friday, they sold 78 drinks for a total of $252.
So, we can formulate;
4x + 3y = 252 ... (ii)
Solve equation (i) and (ii) we get;
x + y = 78
4x + 3y = 252
Multiply by 4 in equation (i) and subtract from (ii) we get;
4x + 3y - 4x - 4y = 252 - 312
- y = - 60
y = 60
And, x + y = 78
x + 60 = 78
x = 18
Thus, Number of sold cappuccinos will be 60.
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12 cm
14 cm
1
-
Find volume
Answer:
Volume of cylinder = 6,330.24 cmSolution:
Volume of cylinder = area of base × altitude
Volume = πr² × altitude
V= 3.14 × 12² × 14
V = 3.14 × 144 × 14
V = 6,330.24 cm
Write the equation of a line in slope-intercept form that has a slope of -1/4x and a y-intercept of 5
Answer:
Step-by-step explanation:
Slope = m = -1/4
y-intercept = b = 5
Slope intercept form = y = mx +b
[tex]y =\dfrac{-1}{4}x+5[/tex]
If the line t is a transversal of lines I and m, NAME THE SPECIAL ANGLE PAIR RELATIONSHIP of the given angle pairs.
Answer:
a. <1 and <3
Step-by-step explanation:
Line segment RS has endpoints R (-2, 4) and S (-4, -1).
Line segment R''S'' has endpoints R'' (3, -3) and S'' (5, 2).
Name the transformation that maps line segment RS to line segment R''S''.
Answer:
rotation 180° (ccw) over point (0.5 , 0.5)
Step-by-step explanation:
R (-2, 4) , S (-4, -1) -> R'' (3, -3) , S'' (5, 2)
check: rotation over (0.5,0.5) 180°
x'' = - (x - x₀) + x₀ .. x: original x coordinate, x₀ : center of rotation
y" = - (y - y₀) + y₀
for R" : x" = - (-2 - 0.5) + 0.5 = 3
y" = -(4 - 0.5) + 0.5 = -3
You can verify the coordinates of S" by the above formula.
** (0.5,0.5) is the intersect of RR" and SS"
(5a-4)(3a-1)
How do I do it?
Answer:
15a^2 -17a +4
5a x 3a = 15a^2 bc a times a makes it squared.
next, 5a x -1 = -5a
and then -4 x 3a = -12a
-5a -12a (bc they're like terms) = -17a
then, -4 x -1= 4 ( two negs cancel each other out)
I apologize for my mistake the first time
Movie tickets now average $9.75 per ticket, but are increasing 7% each year.
What is the growth factor?
Answer:
The Tickets grow approximately ¢68 or $0.68 each year
Step-by-step explanation:
7% of 9.75 = 0.68
A percentage is out of a fraction of 100; 7/100
Hope This Helps!
discrete or continuous
i think the answer is contionous
5. The two figures are scaled copies of each other.
a. What is the
scale factor that
takes Figure 1
to Figure 2?
e
P
ס
R
С
A
A
b. What is the
scale factor that
takes Figure 2.
to Figure 1?
D
Figure 1
Figure 2
S
The quadrilaterals are similar and are related by a scale factor, taken from
a specific location, that maps the points on one figure to the other.
a. The scale factor that takes Figure 1 to Figure 2, is 3
b. The scale factor that takes Figure 2 to Figure 1 is [tex]\dfrac{1}{3}[/tex]
Reasons:
From the question, we have that Figure 1 is a scaled copy of Figure 2, therefore;
Let ABCD represent Figure 1, we have;
ABCD ~ PQRS
Length of [tex]\overline{AD}[/tex] = √(2² + 3²) = √(13)
Length of [tex]\overline{PS}[/tex] = √(6² + 9²) = √(117) = √(9 × 13) = 3·√(13)
Therefore;
a. The scale factor that takes Figure 1 to Figure 2, SF₁₂, is therefore;
[tex]SF_{12} = \mathbf{\dfrac{\overline{PS}}{\overline{AD}}}[/tex]
Which gives;
[tex]SF_{12} = \dfrac{3 \cdot \sqrt{13} }{\sqrt{13} } = 3[/tex]
The scale factor that takes Figure 1 to Figure 2, SF₁₂ = 3
(3 times the lengths of Figure 1 gives the lengths on Figure 2)
b. The scale factor that takes Figure 2 to Figure 1, SF₂₁, is given as follows;
[tex]SF_{21} = \mathbf{\dfrac{\overline{AD}}{\overline{PS}}}[/tex]
Which give;
[tex]SF_{21} = \dfrac{\sqrt{13} }{3 \cdot \sqrt{13} } = \mathbf{\dfrac{1}{3}}[/tex]
The scale factor that takes Figure 2 to Figure 1, SF₂₁ is [tex]\underline{\dfrac{1}{3}}[/tex]
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HELP ME PLSS.....
Consider the function f (x) = – ⅔+5.
What is f (5/2)?
Enter your answer, as a simplified fraction, in the box
f (5/2) =
Answer:
2.5 f
Step-by-step explanation:
5
F x —
2
5
— f
2
I hope it's help :)
Answer:
hi good morning friends
Please help I will give Brainiest if correct!
What is the rate of change?
Answer: 2 is the correct answer I am 100% positive
Step-by-step explanation:
Answer: the rate of change is 2
Step-by-step explanation:
ALL FELLOW PEOPLE I NEED HELP ASAP ! WILL MARK BRAINLIEST!!EXTRA POINTS !!!!
Answer: y = -5/3x + 4 and 5x + 2y = 4
Step-by-step explanation:
1. Firstly, we should substract 5x on both sides of the equation.
3y = -5x + 12
Then we divide by 3 on both sides of the equation. This would give us our answer.
y = -5/3x + 4
2. The answer is 5x + 2y = 4.
The slope of parallel lines should be the same. If we want to isolate y of the above the equation we should first substract 5x on both sides.
2y = -5x + 4
Then we should divide 2 on both sides of the equation.
y = -5/2x + 4
The equation above and y = -5/2x -7 have the same slope. Therefore, they are parallel.
6. There are only cars and trucks in the parking lot. Five out of every 13
vehicles are cars. If there are 143 vehicles in the parking lot, how many
are trucks?
Pls help me
Answer:
88 trucks
Step-by-step explanation:
Ratio of cars : vehicles = 5:13
Hence, the ratio of trucks : vehicles = 8:13
143/13 = 11
If the number of vehicles is 143,
we have to multiply both sides of the ratio by 11:
8*11 : 13* 11
88 : 143
Hence, there are 88 trucks for every 143 vehicles.
Hope this answers your question... Have a wonderful time ahead at Brainly!
on average, what value is expected for the t statistic when the null hypothesis is true?
Answer:
0
Step-by-step explanation:
Given that
R
=
9
x
+
8
y
Find
x
when
y
=
3
and
R
=
5
Give your answer as an improper fraction in its simplest form.
Answer:
X = 19/9
Step-by-step explanation:
R = 9x + 8y
R = 5, Y = 3
5 = 9x + 8(3)
9x = 8(3) - 5
9x = 19
x = 19/9
A number y is multiplied by -0.8. The product is -49.
What is the value of y?
The area of a rectangle is 42 square centimeters it's length is 7 centimeters.
Answer:
6 cm
Step-by-step explanation:
A = l · w Substitute what you know A = 42; l = 7
42 = 7 ·w Solve
42/7 = w
6 = w cm · cm = cm²
For brainily please help
Answer:
3
Step-by-step explanation:
It's the same on both sides
what is the lcm of 9 and 12
Hi there! To find the LCM of 9 and 12, let's first list some of their multiples.
9: 9, 18, 27, 36, 45, 54, 63, 72, 81...
12: 12, 24, 36, 48, 60, 72, 84...
Do you see what I see? The LCM is 36. Hope this helps!
~Just an emotional teen who listens to her favorite songs
[tex]SilentNature[/tex]
plz help
Which of the algebraic expressions below is equal to 28?
Select all that apply.(ANSWER ONLY IF YOU KNOW!)
A) (34)(20)×2
B) (24÷4)(7)
C) 9(7−3)–8
D) (3+4)⋅(22+3)
Answer:
ITS C
Step-by-step explanation:
9(7−3)−8
=(9)(4)−8
=36−8
=28
Answer:
C.
Step-by-step explanation:
9(7-3)-8
according to PEMDAS, we have to do the parenthesis first. so
9(4) - 8
then
36 - 8
which gives us 28.
Hope this helped! (:
hhhhhhhhhhheeeeeeeeeeeelllllllllllllpppppppppp
Answer:
angle 4 is the alternate angle
Answer: (A) angle 1
Step-by-step explanation:
Graph y= –3x+4.
i need a pic
5o points and brain thing
Refer to the attachment
1. What is 3/4 divided by 1/6
Answer:
9/2 or 4 1/2
Step-by-step explanation:
3/4 ÷ 1/6 = 3/4 × 63/4 × 6 = 18/418/4 = 9/29/2 = 4 1/2Therefore, the answer is 9/2 or 4 1/2.
Answer: 3
Step-by-step explanation:
3/4 ÷ 1/6
3/4 × 6/1
Divide 4 and 6 by 2
3/2 × 3/1
3 × 3 / 2 × 1
6 / 2 = 3
Please help
What is the measure of ∠ABC?
Answer:
180°
Step-by-step explanation:
What does the number shown below equal to?
-15x = 390
Answer:
x =-26
Step-by-step explanation:
-15x = 390
Divide each side by -15
-15x/-15 = 390/-15
x =-26
Answer:
X = -26
Step-by-step explanation:
Divide both sides by -15.
390/-15 = -26
X is equal to -26.
The ages of the members of a family are 65, 58, 27, 25, 5, and 2 years old. What is the total admission price for the family to visit the zoo?
A picture shows an admission price board for people of different ages at a zoo. The ages of people and their admission price per person in dollars are as follows: 12 and under, 8; 13-59, 12; 60 and older, 10.
Answer:$62
Step-by-step explanation: 62 becuase I took your formula and plugged it in. There are 2 kids under 12 so thats $16, then there are 3 people who are 12-59 that equals $52, then 1 person who is over 60. So $62.
Geometry please help me
Determining angle measures in context.
Answer:
d
Step-by-step explanation:
the corresponding angles are described by 2 parallel lines and a line that cross them all
The radius of a sphere is increasing at a rate of 0.5 centimeters per minute. At a certain instant, the radius is 17 centimeters.
What is the rate of change of the volume of the sphere at that instant (in cubic centimeters per minute)?
Using implicit differentiation, it is found that the rate of change of the volume of the sphere at that instant is of 1815.84 cubic centimetres per minute.
The volume of a sphere of radius r is given by:
[tex]V = \frac{4\pi r^3}{3}[/tex]
Applying implicit differentiation, the rate of change is of:
[tex]\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}[/tex]
In this problem, we have that [tex]\frac{dr}{dt} = 0.5, r = 17[/tex], thus:
[tex]\frac{dV}{dt} = 4\pi (17)^2(0.5) = 1815.84[/tex]
The rate of change of the volume of the sphere at that instant is of 1815.84 cubic centimetres per minute.
A similar problem is given at https://brainly.com/question/11496075
what is the slope of the line that passes through the points (-3,1) and (7,14)