Answer:
x=14/5
Step-by-step explanation:
Group like terms
2x+8x+7=35
Add similar elements: 2x+8x=10x
10x+7=35
Subtract 7 from both sides:
10x+7−7=35−7
Simplify
10x=28
Divide both sides by 10
10x/10 =28/10
Simplify:
x=14/5
Answer:
[tex]2x+7+8x=35[/tex]
[tex]2x+8x+7=35[/tex]
[tex]10x+7-7=35-7[/tex]
[tex]10x=28[/tex]
[tex]\cfrac{10x}{10}=\cfrac{28}{10}[/tex]
[tex]x=\cfrac{14}{5}[/tex]
or
[tex]x=2.8[/tex]
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]
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]
Learn more here:
https://brainly.com/question/17207164
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
hhhhhhhhhhheeeeeeeeeeeelllllllllllllpppppppppp
Answer:
angle 4 is the alternate angle
Answer: (A) angle 1
Step-by-step explanation:
so i am struggling e
Answer:
17
Step-by-step explanation:
[tex]perimeter = 2(length + breadth) \\ breadth = (perimeter \div 2) - length[/tex]
[tex]72 \div 2 = 36 \\ 36 - 19 = 17[/tex]
Answer:
y is 17 mm
Step-by-step explanation:
perimeter formula is p= 2l +2w
19 is width
19+19 = 38
72-38=34
34/2= 17
17 is length
I hope it is right:)
((((40 - -30) x (20 +15 - -2))+14)/2)-40
100 points pls help
Step-by-step explanation:
1262 enjoy brainliest appreciated
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
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
pls help ASAPPPP11!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
It's between 0 and 1
Step-by-step explanation:
1/64 = 0.015625
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
on average, what value is expected for the t statistic when the null hypothesis is true?
Answer:
0
Step-by-step explanation:
What is the answer for this question:12+2c+6d-8c+d
Answer:
12+10c+7d
Step-by-step explanation:
There is no possible way to really describe the value of the variables, so I simplified it.
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
Please help
What is the measure of ∠ABC?
Answer:
180°
Step-by-step explanation:
For brainily please help
Answer:
3
Step-by-step explanation:
It's the same on both sides
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.
2)
Where is the opposite of -10 located on a number line?
ght
X
A)
to the left of o
he
ning
1.28
Cools
B)
to the right of 0
C)
to the right of 12
D
to the left of -10?
Answer:
B
Step-by-step explanation:
the opposite of -10 is 10
10 being bigger than 0 would therefore be to the right of 0
Answer:
B
Step-by-step explanation:
The opposite is positive 10. Negative 10 is the left to 0 and positive is always to the right of 0. Hope that helps <3
Which number has the greater value, 7*10^-9 or 6*10^-4
Answer:
6*10^-4 has a greater value.
Step-by-step explanation:
7*10^-9= 0.000000007
6*10^-4= 0.0006
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.
Learn more about the linear expression visit:
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#SPJ2
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:
Graph y= –3x+4.
i need a pic
5o points and brain thing
Refer to the attachment
PLS HELP WILL MARK BRAINLIEST, NO FAKE ANSWERS
Answer:
see explanation
Step-by-step explanation:
The perimeter is the sum of the sides of the figures
(1)
The figure has 5 congruent sides , then perimeter P
P = 5 ([tex]\frac{2}{5}[/tex] x + 1) ← multiply each term in the parenthesis by 5
= 2x + 5
(2)
There are 4 congruent sides of ([tex]\frac{5}{2}[/tex] x - y) and 8 of y , then
P = 4([tex]\frac{5}{2}[/tex] x - y) + 8y ← distribute parenthesis by 4
= 10x - 4y + 8y ← collect like terms
= 10x + 4y
(3)
P = 2([tex]\frac{2a-b}{2}[/tex] ) + 2([tex]\frac{3b}{2}[/tex] ) + 2a ← distribute parenthesis
= 2a - b + 3b + 2a ← collect like terms
= 4a + 2b
what is the slope of the line that passes through the points (-3,1) and (7,14)
(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
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
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! (:
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
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!
A poll was taken to determine which candidate students were voting for in an upcoming class president election. Of the students who participated in the poll, 40% voted for Iverson and 50% voted for Vicky. There were 30 votes for Vicky.
There were
(blank) people who participated in the poll.
Answer:
Step-by-step explanation:
the way to find how many participanted in the class voted, you need to look at the percentages and the number of students that voted for Vicky.
50% of students voted for Vicky and the question later explained that the total of the 50% was 30 students. This mean we know half of the student that participated. To find the total amount of students to make 100%, you need to multiple 30 by 2. which is 60.
Now that we know there were 60 students in total, we can find how many participated by using Iverson's percentage.
this is the formula that can help with any percentage math problem:
The percentage of something ÷ 100% = the number you are looking for ÷ the total
in our case:
40÷100 = x (because it is the unknown term)÷60
from here you cross multiple getting
2400÷100x
which equals
24
now we have to add Vicky's and Iverson's voter
24 + 30= 54
60-54=6
6 students did not participate