Answer:
y=x7 X 5
Step-by-step explanation:
What is the slope of the line?
In Triangle BCD, BC=BD, and angle B =13x-35, angle C = 5x-19, angle D=2x+14. Find the measure of each angle
Answer:
[tex]B = 108[/tex]
[tex]C = 36[/tex]
[tex]D = 36[/tex]
Step-by-step explanation:
Given
[tex]B =13x - 35[/tex]
[tex]C = 5x - 19[/tex]
[tex]D=2x+14[/tex]
[tex]BC = BD[/tex]
Required
Determine the measure of each angle
The angles in a triangle sum up t 180. i.e.
[tex]B + C + D = 180[/tex]
Since [tex]BC = BD[/tex], then [tex]C = D[/tex]
[tex]B + C + D = 180[/tex] can then be rewritten as:
[tex]B + C + C = 180[/tex]
[tex]B + 2C = 180[/tex]
Substitute values for B and C
[tex]13x - 35 + 2(5x - 19) = 180[/tex]
Open Bracket
[tex]13x - 35 + 10x - 38 = 180[/tex]
Collect Like Terms
[tex]13x + 10x = 180 + 38 + 35[/tex]
[tex]23x= 253[/tex]
Divide both sides by 23
[tex]x = 11[/tex]
To get the measure of each angle, substitute 11 for x in the expressions of B, C and D
[tex]B =13x - 35[/tex]
[tex]B = 13 * 11 - 35[/tex]
[tex]B = 108[/tex]
[tex]C = 5x - 19[/tex]
[tex]C = 5 * 11 - 19[/tex]
[tex]C = 36[/tex]
[tex]D=2x+14[/tex]
[tex]D = 2 * 11 + 14[/tex]
[tex]D = 36[/tex]
The measure of m<B, m<C and m<D are 108, 36 and 46 respectively
What are triangles?From the triangle BCD, if BC=BD, then
m<C = m<D (Base angles are equal)
Given the following paramters:
m<C = 5x-19m<D = 2x + 14Hence;
5x - 19 =2x + 14
5x- 2x = 14 + 19
3x = 33
x = 11
m<B = 13x - 35
m<B = 13(11) - 35
m<B = 108 degres
m<C = 5x - 19
m<C = 55- 19
m<C = 36
m<D = 180 - 144
m<D = 36 degreees
Hence the measure of m<B, m<C and m<D are 108, 36 and 46 respectively
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A recipe calls for 3 cups of flour to 4 cups of sugar. Find the unit rate of flour to cups of sugar.
Answer: 0.75 cups of flour to 1 cup of sugar.
Step-by-step explanation:
From the question, we are informed that a recipe calls for 3 cups of flour to 4 cups of sugar and told to calculate the unit rate.
It simply means what we need to calculate much of flour to one cup of sugar. This will be:
= 3/4 = 0.75
Therefore, the unit rate will be:
0.75 cups of flour to 1 cup of sugar.
A gas station sells unleaded regular and unleaded premium gasoline. The price per gallon charged by the station is$1.299 for unleaded regular and $1.379 for unleaded premium. The cost per gallon from supplier is$1.219 for unleaded regular and $1.289 for unleaded premium. If equals the number of gallons sold of regular and equals the number of gallons sold of premium:(a) Formulate the revenue function from selling and gallons of the two grades of gasoline respectively?(b) Formulate total cost for purchasing and gallons?(c) Formulate the total profit? d) what is the total profit expected to equal if the station sells 100,000 gallons of unleaded and regular and 40000 of unleaded premuim?
Answer:
a) Revenue function = 1.299r + 1.379p
where: r = gallon of unleaded regular gasoline and p = gallon of regular unleaded premium gasoline
b) cost function = 1.219f + 1.289p
c) profit function = (1.299r + 1.379p) - (1.219f + 1.289p) = 1.299r - 1.219r + 1.379p - 1.289p = 0.08p + 0.09p
d) total profit = (0.08 x 100,000) + (0.09 x 40,000) = $8,000 + $3,600 = $11,600
Completing Proofs Involving Linear Pairs
Given: m ZELG = 124°
Prove: x = 28
Statements
Reasons
1. m ZELG = 124
1. given
2. m ZELD = 2x
2. given
H
L
3. ZELG and ZELD are
a linear pair
3. definition of a linear pair
(2x)
G
4. m ZELD + m ZELG = 180
4.
Ε
• F.
5. 2x + 124 = 180
5. substitution
Complete the steps in the two-column proof.
6.
6. subtraction property
7. x = 28
7. division property
Intro
Done
vity
Answer:
1. angle addition post
2. 2x=56
The corresponding angles of the lines solved and the value of x = 28°
What are angles in parallel lines?Angles in parallel lines are angles that are created when two parallel lines are intersected by another line. The intersecting line is known as transversal line.
We can conclude three factors determining parallel lines ,
Alternate angles are equal
Corresponding angles are equal
Co-interior angles add up to 180°
Given data ,
Let the measure of ∠ELG = 124°
The measure of ∠ELD = 2x
∠ELG and ∠ELD are a linear pairs of angles
So , the measure of ∠ELG + ∠ELD = 180°
On simplifying , we get
2x + 124° = 180°
Subtracting 124° on both sides , we get
2x = 56°
Divide by 2 on both sides , we get
x = 28°
Therefore , the value of x is 28°
Hence , the angle is x = 28°
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Add 3 level scoops of mini chocolate chips and 1 level scoop of raisins to Container 1. If each scoop has the same number of items, what percent of the items in Container 1 are mini chocolate chips? (This value is known as the percent concentration of chips.) Explain how you decided. Label the container appropriately Answer: 50% because when there is only 2 variables and they are each 1 cup there is an even amount of stuff and when you ask for only one percentage that would be 50% because everything is even. Even if you asked for the percentage for the cup of raisins it would also be 50% Add 2 scoops of mini chocolate chips and 3 scoops of raisins to Container 2. What is the percent concentration of mini chocolate chips? Explain how you decided. Label the container appropriately. Stir the chips and raisins in each container to ensure that the chips and raisins are evenly mixed.
Answer:
Container 1
The percentage of mini chocolate chip is 3/4 * 100= 75 % to raisins.
Container 2
The percentage of mini chocolate chip is 2/5 * 100= 40 % to raisins.
Step-by-step explanation:
Container 1
Mini Chocolate Chips: Raisins
3 scoops: 1 scoop
The percentage of mini chocolate chip is 3/4 * 100= 75 % to raisins.
Container 2
Mini Chocolate Chips: Raisins
2 scoops: 3 scoop
The percentage of mini chocolate chip is 2/5 * 100= 40 % to raisins.
This is simplified with the help of the ratios . We find out the ratio of the mini chocolate to the total of both the ratios and mulitply it with 100 to get the percentage concentration.
estimate 1scoop chips and 2scoops rice percentage
In row 2, write the equation of a quadratic function that satisfies f(0) = 2.
Question: If an electric train is moving north at 100mph and a wind is blowing to the west at 10mph, which way does the smoke blow?
Answer:
There is no smoke due to it being an electric train.
Step-by-step explanation:
Didn't fool me. ;)
y=3/8x−4 write in standard form
Answer:
3x-8y=32
Step-by-step explanation:
Find the center and radius of the equation of the circle
a). x2 + y2 – 8x +6y + 9 = 0
Compare the given equation with the general equation of a circle
Given equation: x² + y² - 8x +6y +9 = 0
Equation of a circle: x² + y² + 2gx + 2fy + c = 0
2g= -8; g = -8÷2= -4
2f = 6; f = 6÷2 = 3
c= 9
Solving for radius of the circle...
r =√g² + f² - c
g= -4, g² = ±16
f = 3, f² = 9
Substituting, we have
r = √16 + 9 - 9
r = √25-9
r=√16
r = 4
Therefore, the centre and radius of the circle is 9 and 4 respectively.
Hope this helped!
Please mark brainliest;-)
Hey can someone pls help me will give brainliest I will be very grateful thx!!!!
Answer:
17) 4 inches
18) 14 inches
19) 162 inches
20) 30 inches
Step-by-step explanation:
For the first two, you use the formula π× (radius)². Since you have the area, divide it by two then find the square root. For the second two, you just divide the by pi.
Answer:
17) D=4in
18)D=14yd
19)D=162yd
20)D=30yd
Step-by-step explanation:
17)
[tex]d = 2 \times \sqrt{4} = 4[/tex]
Use long division to find the quotient below.
(8x3 + 4x2 + 100) = (2x + 5)
A. 4x2 + 12x + 20
B. 4x2 + 8x+ 20
C. 4x2 - 12x+ 20
D. 4x2 - 8x + 20
Answer:
D
Step-by-step explanation:
D 4x2-8x+20
$25 with a 300% increase
Answer:
100 dollars
Step-by-step explanation:
So amount of increase = (300/100) * 25
= 3 * 25
= 75 dollars
Then the final amount = (25 + 75) dollars
= 100 dollars
What is the volume of a container that is 5cm tall by 10cm long and 4cm deep
Answer:
200cm³
Step-by-step explanation:
lenght×width×height=Volume
10cm×4cm×5cm=200cm³
PLEASE HELP ME
An alloy is a mixture of metals.Suppose that a certain alloy is made by mixing 70 grams of an alloy that contains 12% copper with 90 grams of pure copper.
Answer the questions below. Do not do any rounding.
(a) How many grams of copper are in the resulting mixture?
Il grams
(b) What percentage of the resulting mixture is copper?
Answer:
(a) How many grams of copper are in the resulting mixture?
= 160 grams
(b) What percentage of the resulting mixture is copper?
= 61.5%
Step-by-step explanation:
(a) How many grams of copper are in the resulting mixture?
From the question: Suppose that a certain alloy is made by mixing 70 grams of an alloy that contains 12% copper with 90 grams of pure copper.
The number of grams of copper in the resulting mixture = 70 grams + 90 grams = 160 grams
(b) What percentage of the resulting mixture is copper?
70 grams of an alloy that contains 12% copper = 70 × 12%
= 70 grams × 0.12
= 8.4 grams
The number of grams of copper in the resulting mixture = 160 grams
The percentage of the resulting mixture that is copper is
=( 8.4 grams + 90 grams of pure copper/160) × 100
= 98.4/160 × 100
= 61.5%
4.5(8 - x) + 36 = 102 - 2.5(3x + 24)
Answer:
x = -10
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
4.5(8 - x) + 36 = 102 - 2.5(3x + 24)
Step 2: Solve for x
Distribute: 36 - 4.5x + 36 = 102 - 7.5x - 60Combine like terms: -4.5x + 72 = -7.5x + 42Add 7.5x on both sides: 3x + 72 = 42Subtract 72 on both sides: 3x = -30Divide 3 on both sides: x = -10Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 4.5(8 - -10) + 36 = 102 - 2.5(3(-10) + 24)Simplify: 4.5(8 + 10) + 36 = 102 - 2.5(3(-10) + 24)Multiply: 4.5(8 + 10) + 36 = 102 - 2.5(-30 + 24)Add: 4.5(18) + 36 = 102 - 2.5(-6)Multiply: 81 + 36 = 102 + 15Add: 117 = 117Here we see that 117 does indeed equal to 117.
∴ x = -10 is a solution of the equation.
Isaiah is working two summer jobs, making $16 per hour tutoring and $10 per hour clearing tables. isaiah must earn at least $110 this week. write an inequality that would represent the possible values for the number of hours tutoring, t, and the number of hours clearing tables, c, that isiah can work in a given week
Answer:
16t + 10x = 110
Step-by-step explanation:
t = tutoring
x = cleaning tables
16t + 10x = 110
All you do is plug in numbers.
Answer:
16t + 10c>=110
Step-by-step explanation:
the total earned from tutoring in a week is
16(t)
and the total earning from clearing tables per week is
10(c)
but in a week he has to earn a minimum of 110 dollars
3. + (-2) + (-24 )
Please help this question is worth a lot of points ( math question) help please:)
Answer:
[tex] \huge{ \boxed{ \bold{ \sf{ - 26}}}}[/tex]
☄ Question : Simplify[tex] \sf{ + ( - 2) + ( - 24)}[/tex]☄ Step - by - step explanation : [tex] \sf{ + ( - 2) + ( - 24)}[/tex]Remember : [tex] \sf{( + ) \times ( - ) = ( - )} [/tex]
[tex] \dashrightarrow{ \sf{ - 2 - 24}}[/tex]
Remember : The negative integers are always added but posses the negative ( - ) sign.
[tex] \dashrightarrow{ \boxed{ \sf{ - 26}}}[/tex]
--------------------------------------------------------------
† Remember :✒ Sign rules of addition and subtraction of integers :
The positive integers are always added but posses the positive ( + ) sign.The negative integers are always added but posses the negative ( - ) sign.The negative and positive integers are always subtracted but posses the sign of the bigger integer.✒ Sign rules of multiplication and division :
[tex] \sf{( + ) \times ( + ) = ( + )}[/tex][tex] \sf{( + ) \times ( - ) = ( - )}[/tex][tex] \sf{( - ) \times ( + ) = ( - ) }[/tex][tex] \sf{( - ) \times ( - ) = ( + ) }[/tex]▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Hope I helped!
Have a wonderful time ! ツ
what is 1/2 of 6/7
Answer:
3/7
Step-by-step explanation:
6/14 which equals 3/7
A circle is divided into 3 equal parts. What is the total angle measure of 1 part?
Answer:
120 degrees each
Step-by-step explanation:
360 degress divided by 3 = 120
The lengths of four insects are 0.02 inch, 1 8 inch, 0.1 inch, and 2 3 inch. List the lengths in inches from least to greatest.
Answer:
0.1,0.2,1.8,2.3
Step-by-step explanation:
Answer:
.02, .1, 1/8, 2/3
Step-by-step explanation:
f(x) = x2. What is g(x)?
Answer:
its C. yw
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
i did the test
Molly is making bags of trail mix for the hiking club. She will use 20 ounces of walnuts. 11.1 ounces of almonds, and 24.8 ounces of cashews. This amount makes 26 bags of trail mix. How many ounces are in each bag?
Answer:
2.15 ounces
Step-by-step explanation:
The total ounces of nuts in the bag is calculated as:
20 ounces of walnuts + 11.1 ounces of almonds + 24.8 ounces of cashews = 55.9 ounces.
From the question we are told that these amounts make 26 bags.
The number of ounces that are in each bag is calculated as:
26 bags = 55.9 ounces
1 bag = x ounces
Cross Multiply
26 bags × x ounces = 1 bag × 55.9 ounces
x ounces = 1 bag × 55.9 ounces/26 bags
x ounces = 2.15 ounces
Therefore, there are 1.94 ounces in each bag
80 students were at the volleyball game.
Some went home and now there are only 52. What is the percent of change?
f(x) = -4x – 2, solve for x when f(x) = 6
Step-by-step explanation:
[tex] - 4x - 2 = 6[/tex]
[tex] - 4x = 8[/tex]
[tex]x = - 2[/tex]
plz help me its do today
Write this ratio as a fraction in simplest form
140 centimeters to 300 centimeters
Answer choices:
A. 14/30
B. 4/7
C. 1/3
D. 7/15
Answer:
D
140/300 simplifies to 14/30 and that can be simplified even more to 7/15
x squared = 4x squared -75
Pls help asappp solve for x
Answer:
65
Step-by-step explanation:
If you need explanation please tell me.
BRAINLEIST AND 5 STARS The function gives the number of people, in millions, who own a smartphone, years after the year 2000.
What does each equation tell us about smartphone ownership?
P(17) = 2, 320