Answer:
x≤5/3
So any number at 5/3 or above is a solution
Step-by-step explanation:
Subtract 4 on both sides:
5≤3x
Divide 3 on both sides
x≤5/3
So any number at 5/3 or above is a solution
Hope this helps!
In addition to the car payment, Jackson and Bonnie estimate they will spend $200 on utilities, $140 on gasoline, $200 for groceries, $55 for cell phone, and $45 for car insurance. What will be the total of the monthly bills?
help me with this please and thank you !!
Answer:
I hope this helps.
Given: y || z
Prove: mZ5+ m2 2 + m26 = 180°
Angles Lines Statements Reasons
21
23
25
26
m21
m23
m25
m26
L
A
M
1
2
3
y
Statements
Reasons
4
5
6
7
z
Assemble the proof by dragging tiles to
the Statements and Reasons columns
Intro
D
Using the above statements and reasons can be used to prove the triangle sum theorem, which is: ∠5 + ∠2 + ∠6 = 180°
What is the Triangle Sum Theorem?The triangle sum theorem states that, when we add the all three interior angles of a triangle together, it will give us a sum of 180°.
Given that y || z:
∠1 ≅ ∠5 and ∠3 ≅ ∠6 based on the interior angles theorem. This implies that:
∠1 = ∠5 and ∠3 = ∠6 (Eqn. 1)
m∠LAM = 180° (def. of straight line angle)
Thus, using the angles addition theorem, we have:
∠1 + ∠2 + ∠3 = m∠LAM
∠1 + ∠2 + ∠3 = 180° (eqn. 2).
Using eqn. 1 and eqn. 2, substitute ∠1 = ∠5 and ∠3 = ∠6 into eqn. 2.
∠5 + ∠2 + ∠6 = 180° (substitution).
Therefore, using the above statements and reasons can be used to prove the triangle sum theorem, which is: ∠5 + ∠2 + ∠6 = 180°
Learn more about triangle sum theorem on:
https://brainly.com/question/7696843
The proof for the triangle sum theorem, which is: ∠5 + ∠2 + ∠6 = 180°
What is Angle Sum Property?According to the triangle sum theorem, if we total up a triangle's three internal angles, we receive a value of 180°.
We have, y || z.
So, ∠1 ≅ ∠5 and ∠3 ≅ ∠6 (Alternate Interior Angle)
Using Linear Pair
∠1 + ∠2 + ∠3 = m ∠LAM
∠1 + ∠2 + ∠3 = 180°
Now, substitute ∠1 = ∠5 and ∠3 = ∠6 in above equation
∠5 + ∠2 + ∠6 = 180° .
Thus, using the above statements can be used to prove the triangle sum theorem, which is: ∠5 + ∠2 + ∠6 = 180°
Learn more about Angle Sum Property here:
brainly.com/question/7696843
#SPJ5
Expand.
Your answer should be a polynomial in standard form.
(x - 5)(x – 4) =
Answer:
[tex]x^2-9x+20[/tex]
Step-by-step explanation:
Use the distributive property.
[tex](x-5)(x-4)[/tex]
[tex]x^2-5x-4x+20[/tex]
[tex]x^2-9x+20[/tex]
This is already in standard form.
Hope this helps!
7990 was rounded to the nearest ten. What is the lower bound?
Here we will tell you what 7990 is rounded to the nearest ten and also show you what rules we used to get to the answer.
Remember, we did not necessarily round up or down, but to the ten that is nearest to 7990.
First, 7990 rounded to the nearest ten is:
7990
what is the ratio of $1 to 60 cents?
Answer:
100:60
Step-by-step explanation:
$1 is equal to 100 cents
So we can compare it as 100:60
Hope this helps!
Answer:
5:3.
Step-by-step explanation:
That would be 1:0.60
= 100:60
= 5:3.
Human bones make up 18% of our body mass. Jason's mass is 59.2 kg. What is the mass of his bones?
Answer:
Bone Mass, Density and Bone Weight
"Bone weight is about 15 percent of your body weight, but determining bone weight is complicated and it does not give us useful information. It is much more important to know about bone density, which is the best way to measure bone mass and bone health," says Dr. Ford.
Step-by-step explanation:
Hope its helps you
Answer:
10.656Step-by-step explanation:
18%*59.2=10.656
the answer is abffj uynjy uymn mhk um
Calculator
15
What is the value of x?
9
3x
B
Enter your answer in the box
2x-1
X =
Answer:
the answer is -2
Step-by-step explanation:
-2........
help plss c:
a family wishes to determine the distance from their home to the nearest park. on a coordinate grid, the house sits at (0,0), and the park at (16,11)
using 1 unit = 10 yards, which vector represents the path from the house to the park, and what is the actual distance between them?
Answer:
components: {16,11}, distance: 194.16 yards
Step-by-step explanation:
to find the length of a point to another point that has different y and x points you use the pythagorean theorem (a^2 + b^2 = c^2)
16 and 11 are the distances from her house
16^2 + 11^2 = c^2
c^2 = 377
c = 19.416...
but we dont stop here
we have to convert this to yards by multiplying it by ten
19.416 * 10 = 194.16 yards
Answer:
B
Step-by-step explanation:
Just did the test
HELP PLSASE: Find the solution of the system of equations.
2
x
+
4
y
=
2x+4y=
−
16
−16
−
2
x
+
2
y
=
−2x+2y=
−
2
−2
Answer:
Step-by-step explanation:
x
=
−
24
y
=
10
Explanation:
x
+
4
y
=
16
2
x
−
4
y
=
8
Subtract the bottom equation from the top one so the
+
4
y
and
−
4
y
cancel each other out.
−
x
=
24
x
=
−
24
x
+
4
y
=
16
−
24
+
4
y
=
16
4
y
=
40
y
=
10
Pls help and explain, will give brainliest!
-5+3 + (-1/6)+ 5/6 in fractions form
Answer:
Step-by-step explanation:
-5+3 + (-1/6)+ 5/6
-2 - 1/6 + 5/6
-2 + 4/6 (do this boring math)
Answer:
[tex]-1\frac{1}{3}[/tex] aka [tex]\frac{-4}{3}[/tex]
Step-by-step explanation:
-5+3+(-1/6)+ 5/6
Ok soo -5+3 is -2 So then
-2-[tex]\frac{1}{6}[/tex]+[tex]\frac{5}{6}[/tex]
-2+(-[tex]\frac{1}{6}[/tex]+[tex]\frac{5}{6}[/tex])
-[tex]\frac{1}{6}[/tex]+[tex]\frac{5}{6}[/tex]=[tex]\frac{4}{6}[/tex] or [tex]\frac{2}{3}[/tex]
-2+[tex]\frac{2}{3}[/tex]=-1[tex]\frac{1}{3}[/tex]
Camilla thinks that -5 is less than -7 because 5 is smaller than 7.explain why Camilla is correct
Think of a vertical number line. The positive values count down as we move down this number line. The negative numbers count up, so to speak, as we move down the number line. So we have -1, -2, -3, ... as we move down. This indicates that -5 is not smaller than -7.
Diagram is below.
if the given data is 20,30 3x+5 divided by 2 ,50, 60 and the median is 40 find the value of x
Answer:
in the image. Median is the middle number
15.6 degrees Fahrenheit in 13 minutes
Answer:
1.2 degree Fahrenheit per minute.
per minute.
Step-by-step explanation:
We are supposed to find the unit rate for 15.6°F in 13 minutes.
To find the unit rate for our given scenario, we will divide 15.6 by 13 as:
Therefore, our required unit rate would be 1.2 degree Fahrenheit per minute.
Find the measure of angle b.
51
39
129
141
Answer:
b = 39
Step-by-step explanation:
To complete the full circle would need 360°
So, the equation is:
b + 28 + 293 = 360
b + 321 = 360
b = 360 - 321
b = 39
The perimeter of a rectangle is 40 cm. The length is 14 cm.
Let x = width of the rectangle.
Ravi says he can find the width using the equation 2(x + 14) = 40.
Fran says she can find the width using the equation 2x + 28 = 40.
Answer the questions to solve the equations and to compare the steps and solutions.
1. Which of these is the most helpful first step for solving Ravi's equation, 2(x + 14) = 40?
Circle the best answer.
Add 14 to both sides
Subtract 14 from both sides
Divide both sides by 2
Multiply both sides by 2
2. What would your next step be?
Write your answer in the space below.
3. Solve Ravi's equation, 2(x + 14) = 40, to find the width of the rectangle. Show your work.
Write your answer in the space below.2(x +14) = 40 (use the distributive property)
2x + 28 = 40 (solve exactly like you did for Fran)
2x = 12
x = 6
4. Which of these is the most helpful first step for solving Fran's equation, 2x + 28 = 40?
Circle the best answer.
Multiply both sides by 2
Subtract 28 from both sides
Divide both sides by 2
Add 28 to both sides
5. What would your next step be?
Write your answer in the space below.
6. Solve Fran's equation, 2x + 28 = 40, to find the width of the rectangle. Show your work.
Write your answer in the space below.
7. The two equations have different solution steps. Do they have the same solution? Use the distributive property to show why this answer makes sense.
Write your answer in the space below
Answer:
Below.
Step-by-step explanation:
1. Divide both sides by 2.
2. After dividing both sides by we would have:
x + 14 = 20
The next step would be
Subtract 14 from both sides.
3. 2(x + 14) = 40
x + 14 = 20
x = 20 - 14
x = 6.
2x + 28 = 40
2x = 40 - 28
2x = 12
x = 6.
Solve for v. v − 2.4 = 4.4 v = what?
Answer:
v = 6.8
Step-by-step explanation:
v - 2.4 = 4.4v = 4.4 + 2.4v = 6.8factorise
3a^2+8a+4
someone help
Answer:
(3a+2) (a+2)
Step-by-step explanation:
3a²+8a+4
ur sum is 8
ur product is 12
6x2 = 12
6+2=8
3a²+6a+2a+4
3a(a+2)+2(a+2)
(3a+2) (a+2)
June has 30 days. A family of 3 used 3,960 gallons of water during the month of June. How many gallons of water did each person use each day.
Answer:
44 gallons
Step-by-step explanation:
3960/3=1320
Each person used 1320 in one month
1320/30=44
Amount of person used / 30 days = gallons used each day
. A large tank is partially filled with a solution. The tank has a faucet that allows solution to enter the tank at a rate of 3 16 4liters per minute. The tank also has a drain that allows the solution to leave the tank at a rate of 4 19 5liters per minute. (a) What expression represents the change in volume of solution in the tank in 1 minute? (b) What is the change in volume of the solution after 15 seconds? Show necessary work. (c) What does the change in volume after 15 seconds mean in the real world? Answer in complete sentences. please be helpful no links that there not helpful ok :)
Answer:
345645
Step-by-step explanation:
60 x 45
Ged can fit six boxes each measuring 1
cubic metre (m') along the length of his
removals van. Two boxes fit across the
width and two boxes high. The
approximate total volume of boxes that will
fit in the van is
m3
Answer:
24 m3.
Step-by-step explanation:
6 * 2 * 2.
You have a rectangular piece of fabric with side lengths of 7 inches and 4 inches. What is the area of the biggest possible square you can cut from this fabric?
Answer:
If you were to cut it in half (3.5 x 2)
The answer would be 7
Step-by-step explanation:
The denominator of a fraction is four more than the numerator. If both numerator and denominator are decreased by one, the simplified result is 57. Find the original fraction. (Do NOT simplify.)
For f(x), evaluate the following: a. f(0), b. f(6) and show all of your work. // I've attached the function below.
Answer:
a. f(0) = 4
b. f(6) = 8
Step-by-step explanation:
This is a piecewise function, so the actual equation is on the left, and the inequalities are on the right.
If x = 0, this would fall under the first part of the function because x < 5 is the requirement for the first part. Then, evaluating it: f(0) = 0 + 4 = 4.
If x = 6, this would fall under the second part of the function because 5 [tex]\leq[/tex] x < 7 is the requirement. 6 falls under this category, so that means the second part of the function is used. Because it is a constant, 8, this evaluates to f(6) = 8.
Mr and Mrs Smith buy tickets for themselves and 4 children
The cost of an adult ticket is £6 more than the child ticket
The total cost of the 6 tickets are £40.50
What is the cost of an adult ticket?
Answer=
$10.75 is the cost of an adult ticket
Answer:
£10.75
Step-by-step explanation:
6 tickets=£40.50
cost of adult=£6 more than a child's
let's form an equation!
x is the cost of children tickets and since we have 4 of them it leaves us with 4x. And an adult ticket is £6 more than a child's, so that leaves us with 6+x. And since we have 2 of them we get 2(6+x). So with this info, we can make an equation and solve it to find x:
2(6+x)+4x=40.50
12+2x+4x=40.50
12+6x=40.50
6x=28.50
x=4.75=the cost of a child ticket
adult ticket =£10.75
What is the area of the following triangle in square meters? Do not round your answer. A =
WITH THE RIGHT ANSWER WILL RECEIVE BRAINLIEST
Answer:
0.324 m²
Step-by-step explanation:
To calculate the area of a triangle, multiply the height by the width (this is also known as the 'base') then divide by 2
54 cm is the base, dashed is the height which is 1.2 m, we convert 54 cm into meters (54 cm = 0.54 m)
and we apply the formula
1.2 * 0.54 : 2 =
0.324 m²
Answer:
32.4? or 0.324 m²
Step-by-step explanation:
Help me on this pls and thank you
Answer:
5x - 15 + 2x + 90 = 180
180 since it's a flat line, and all the angles should add up to 180 which is angle AOB, 90 degrees is already given in the middle.
Simplify all the terms (The algebra portion)
7x - 15 + 90 = 180
7x + 90 = 195
7x = 105
x = 105/7
x = 15
now substitute in x for all these angles
2(15) = 30 degrees is the angle GOB
5(15) - 15 = 60 degrees is the angle AOF
60 + 90 + 30 = 180 degrees.
and x = 15
are c and d the correct answer for this question?
Answer:
A E
Step-by-step explanation:
A => 10/4 = 5/2
B => 4/2 = 2
C => 2/5
D => here y is less than x
E => 10/4 = 5/2
Find the equation of the horizontal line passing through the point (-1,0)
Answer:
y = 0
Step-by-step explanation:
When a question says find the horizontal line through certain points all you need to do is take the 2nd point which is 0 and make y equal to that. Doing that covers all x possibilities which means -1 is included and since you made y = 0 it passes through 0 as well.