Answer:
A
Step-by-step explanation:
The theorem we use for this is
[tex]a(a + b) = c(c + d)[/tex]
Solve for d.
[tex]a(a + b) = c { }^{2} + cd[/tex]
[tex]a(a + b) - {c}^{2} [/tex]
[tex] \frac{a(a + b) - {c}^{2} }{c} [/tex]
A is the answer
What is the solution to the following equation?
5(2x –6) + 20 = 10
Answer:
Step-by-step explanation:
Simplifying
5(2x + -6) + 20 = 10
Reorder the terms:
5(-6 + 2x) + 20 = 10
(-6 * 5 + 2x * 5) + 20 = 10
(-30 + 10x) + 20 = 10
Reorder the terms:
-30 + 20 + 10x = 10
Combine like terms: -30 + 20 = -10
-10 + 10x = 10
Solving
-10 + 10x = 10
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '10' to each side of the equation.
-10 + 10 + 10x = 10 + 10
Combine like terms: -10 + 10 = 0
0 + 10x = 10 + 10
10x = 10 + 10
Combine like terms: 10 + 10 = 20
10x = 20
Divide each side by '10'.
x = 2
Simplifying
x = 2
Answer:
x=2
Step-by-step explanation:
Let's solve your equation step-by-step.
5(2x−6)+20=10
Step 1: Simplify both sides of the equation.
5(2x−6)+20=10
(5)(2x)+(5)(−6)+20=10(Distribute)
10x+−30+20=10
(10x)+(−30+20)=10(Combine Like Terms)
10x+−10=10
10x−10=10
Step 2: Add 10 to both sides.
10x−10+10=10+10
10x=20
Step 3: Divide both sides by 10.
10x
10
=
20
10
x=2
Answer:
x=2
Kendra is considering enrolling in two acting schools. One school requires a registration fee of $75 and charges $18 per class. The other school requires a registration fee of $40 and charges $22 per class. Which system of equations can be used to determine how many classes she has to take before one school becomes a better deal
Answer:
Here we go. System of equations:
Step-by-step explanation:
y = 18x + 75
y = 22x + 40
2 equations with 2 unknown,,, x= 35/4, and you will find y= 232.5......then you will have system of linear equation will graph.
What does equal to? 18 cm = __cm
Answer:
[tex]18 \times 1000 \: metres[/tex]
[tex]18000 \: metres[/tex]
Step-by-step explanation:
[tex]hope \: it \: helps \: don't \: to \: \\ like \: and \: mark \: me[/tex]
P!
Vandaki noktalı kâğıtta verilen CD doğru parçasına eşit
uzunlukta iki tane doğru parçası çiziniz. Bu doğru par-
palarının uzunluklarının eşitliğini sembolle gösteriniz.
Answer:
nice dude have a nice day
2. A line passes through points (-1,-2) and (1,4). What is the equation of the line? TI
Please help with this algebra question
Answer:
y < 5x + 5
Step-by-step explanation:
find slope and y-intercept first:
for slope I used the formula with these two points: (0,5) and (-1,0) and the y-intercept can be seen at (0,5)
so equation is y = 5x + 5
but we need to select an inequality symbol, because line is dashed it must be either > or <
I used the point (0, 0) to determine the sign:
is this true or false? 0 > 5(0) + 5 False
so the sign must be <
Check: is this true or false? 0 < 5(0) + 5 True
Whats do you have word do you have to put in this one pls help.
Answer:
Ray
Step-by-step explanation:
It is pointing to a ray coming out of the picture of the sun. Use the pieces r and ay.
Gisella has 4 pints of chicken broth. She uses 5 cups of the broth to make soup.
How much chicken broth is left?
Enter your answer in the box.
cups
Answer:
3 cups of Chicken Broth remains
Step-by-step explanation:
Janet is comparing prices of bottled water. One bottle of water costs $1.92 and contains 12 ounces. Another bottle of water costs $2.40 and contains 16 ounces. Which bottle of water costs less per ounce?
What number goes in the blank.
Answer:
The 16 ounce bottle is the cheapest costing only .15 cents per ounces wile the 12 ounce bottle costs .16 cents and ounce.
Step-by-step explanation:
Help me or I’ll mark Brainly I just need a couple of answers finished
Answer:
4. 72 m
5. 42 m
6. 66 yd
8. 18 yd
9. 200 cm
Step-by-step explanation:
3) 1 × 3 × 8 + [5 × 8 × (4-3)] = 24 + 40 = 64 yd³
4) 9 × 1 × 8 = 72 m³
5) 3 × 7 × 2 = 42 m³
6) 3 × 3 × (6 - 2) + 2 × 5 × 3 = 36 + 30 = 66 yd³
7) (7 - 5) × 7 × 3 + 8 × 7 × 5 = 42 + 280 = 322 mm³
8) 3 × 3 × 2 = 18 yd³
9) 8 × 5 × 5 = 200 cm³
A new car valued at 24,000 depreciates at 9% per year. What is the value of the car one year after purchase?
Answer:
$21840
Step-by-step explanation:
24000*0.91=21840
Use a quadratic function to model the area of the triangle. Graph the function. (Refer to the attached photo) no links pls
Why do we need to lean stuff that we dont need in the real world???
Answer:
Teachers are idiots that's why :)
Answer:
The Answer to that is pretty simple..
Step-by-step explanation:
We learn stuff that we typically don't need in the real world you would think but when it comes to getting a job thats were that information comes in. Like Science about fossils - You might work at a museum?
But some of this stuff is not really needed so I get your point.
A new roller skating rink was just built in Chesapeake. The owner is putting a hand rail around the perimeter of the rink. Approximately how many meters of railing is needed?
Answer:
perimeter of 2 semi circle =πd=30π=94.25m
now total perimeter =94.25m +80+80=254.25m
so.
254.25m of railing is needed.
A model of a house is 6 inch wide and 8 inches long. If the actual house is 20 yards long, how wide is the actual house?
A) 2.4 yd
B) 4.8 yd
C) 15 yd
D) 26 yd
We can create a ratio of length to width. The length of the model is 8, while the width is 6. This is a 4:3 ratio of length to width. We can input this into the actual length, 4(5):3(5) = 20:15. Therefore, the actual width is 15 yd
please help me????????
Answer:
2. 5x+8
3.5a+2b+2-b
4.15+10y
5.8+9x+5y
6. 9+w(to the fourth power)
7. i cant figure out how to do the last
For each 70 mm of coloured fabric Alex uses to make his curtains, he also uses 20 cm of white fabric. Express the amount of white fabric to coloured fabric as a ratio in its simplest form.
Y= 2x+1 Graph this line
Answer:
look up desmos graphing calculator! you're welcome x
Step-by-step explanation:
7 over 9 raised to the 2nd power value
Answer:
7/9²=49/81
Step-by-step explanation:
soskssjshsgsgsgsgsgs
Due to gravity, an object falls 16t^2 feet in t seconds. You drop a backpack from a window that is 20 feet above the ground. Will the backpack hit the ground in 1 second?
Answer:
NO
Step-by-step explanation:
Let h(t) represent the distance the pack is located above the ground at time t. Then h(t) = 20 ft - 16t^2 ft. Notice how h = 20 ft (the initial height) and that it decreases as t increases.
How long does it take for the pack tohit the ground? Set h(t) = 0 and solve for t:
0 ft = 20 ft - 16t^2 ft yields 16t^2 ft = 20, or t^2 ft = 20/16, which is greater than 1. So the question "Will the backpack hit the ground in 1 second" is answered by NO.
New question how do I do this-
Answer:
[tex]y = 18 \\ x = 7.8[/tex]
f(x)=-[tex]\sqrt{x-2}[/tex]+3
Answer:
∫∫↔∧⊄√³²αωФ⊕║
Step-by-step explanation:
HELP ME PLEASEEEEEEE
Answer:
Top right is QI, top left is QII, bottom left is QIII, bottom right is QIV
Step-by-step explanation:
the quadrants start with one at the top left and rotate counterclockwise, rotate to the left
Find the volume of the cylinder and round to the nearest tenth. Remember to show the units cubed
V=?
r=9ft
h=6ft
Answer:
1526.8 units cubed
Step-by-step explanation:
pi * 81 (which is 9 squared) * 6 equals that
Plz help!! Find the area where f the composite figure
Answer:
The area of this composite figure is 122.75 m².
Step-by-step explanation:
What I can go on ahead & do is split this figure into a 5 * 16 rectangle and a 9 by 9.5 triangle.
(5 * 16) + 1/2(9 * 9.5) {Multiply 5 by 16 first; go from left to right}
80 + 1/2(9 * 9.5) {Now multiply 9 by 9.5}
80 + 1/2(85.5) {Then multiply 85.5 by 1/2, which is the same thing as dividing by 2}
80 + 42.75 {Lastly, add the two values together}
122.75 m²
The area of this composite figure is 122.75 m².
HELPPP MEEEE PLEASE!
Answer:
What is that
Step-by-step explanation:
I am scared of math
$20,000 $18.400 $16.928 $15.573.76
If the original price of the car was $20,000, what is the depreciation rate?
What will the car be worth after 6 years?
Answer:
Depreciation rate is 8%
Car is worth $12127.10
Step-by-step explanation:
The heights of the peach trees in an orchard are normally distributed with a mean of 12.5 feet and a standard deviation of 1.8 feet. What is the height of a peach tree with a Z-score of -0.5? Enter your answer, rounded to the nearest tenth, in the box.
Answer: 11.6 just took the test
Step-by-step explanation:
Answer:
11.6 just took the test
Step-by-step explanation:
A five-digit number starts with a number between 4-9 in the first position, with no restrictions on the remaining 4 digits. a) Find the probability that a randomly-chosen phone number contains all different digits. b) Find the probability that a randomly-chosen phone number contains at least one repeated digit. a) Write an expression that models the probability. Select the correct choice below and fill in the answer box(es) within your choice.
Answer:
(a) [tex]Pr = 0.3024[/tex]
(b) [tex]Pr = 0.6976[/tex]
(c) [tex]Pr = \frac{^9P_{n-1}}{10^{n-1}}[/tex]
Step-by-step explanation:
Given
[tex]Start = \{5,6,7,8\}[/tex] i.e. between 4 and 9
[tex]n(Start) =4[/tex]
[tex]Digits = 5[/tex]
Solving (a): Probability that each of the 5 digit are different
Since there is no restriction;
The total possible selection is as follows:
[tex]First\ digit = 4[/tex] (i.e. any of the 4 start digits)
[tex]Second\ digit = 10\\[/tex] (i.e. any of the 10 digits 0 - 9)
[tex]Third\ digit = 10[/tex] (i.e. any of the 10 digits 0 - 9)
[tex]Fourth\ digit = 10[/tex] (i.e. any of the 10 digits 0 - 9)
[tex]Fifth\ digit = 10[/tex] (i.e. any of the 10 digits 0 - 9)
So, the total is:
[tex]Total = 4 * 10 * 10 * 10 * 10[/tex]
[tex]Total = 40000[/tex]
For selection that all digits are different, the selection is:
[tex]First\ digit = 4[/tex] (i.e. any of the 4 start digits)
[tex]Second\ digit = 9[/tex] (i.e. any of the remaining 9)
[tex]Third\ digit = 8[/tex] (i.e. any of the remaining 8)
[tex]Fourth\ digit = 7[/tex] (i.e. any of the remaining 7)
[tex]Fifth\ digit = 6[/tex] (i.e. any of the remaining 6)
So:
[tex]Selection =4 * 9 * 8 * 7 * 6[/tex]
[tex]Selection =12096[/tex]
So, the probability is:
[tex]Pr = \frac{Selection}{Total}[/tex]
[tex]Pr = \frac{12096}{40000}[/tex]
[tex]Pr = 0.3024[/tex]
Solving (b): At least 1 repeated digit
The probability calculated in (a) is the all digits are different i.e. P(None)
So, using laws of complement
We have:
[tex]P(At\ least\ 1) = 1 - P(None)[/tex]
So, we have:
[tex]Pr= 1 - 0.3024[/tex]
[tex]Pr = 0.6976[/tex]
Solving (c): An expression to model the probability.
Using (a) as a point of reference, we have;
[tex]Pr = \frac{Selection}{Total}[/tex]
Where
[tex]Selection =4 * 9 * 8 * 7 * 6[/tex] ---- for selection of 5 i.e. n = 5
[tex]Total = 4 * 10 * 10 * 10 * 10[/tex]
[tex]Selection =4 * 9 * 8 * 7 * 6[/tex]
This can be rewritten as:
[tex]Selection = 4 * ^9P_4[/tex]
4 can be expressed as: 5 - 1
So, we have:
[tex]Selection = (5-1) *^9P_{5-1}[/tex]
Substitute n for 5
[tex]Selection = (n-1) *^9P_{n-1}[/tex]
[tex]Selection = (n-1)^9P_{n-1}[/tex]
[tex]Total = 4 * 10 * 10 * 10 * 10[/tex]
This can be rewritten as:
[tex]Total = 4 * 10^4[/tex]
[tex]Total = (5-1) * 10^{5-1}[/tex]
[tex]Total = (n-1) * 10^{n-1}[/tex]
[tex]Total = (n-1) 10^{n-1}[/tex]
So, the expression is:
[tex]Pr = \frac{(n-1)^9P_{n-1}}{(n-1)10^{n-1}}[/tex]
[tex]Pr = \frac{^9P_{n-1}}{10^{n-1}}[/tex]
Where n represents the digit number
Evaluate- 4 + 8 ÷ 2 x (6 - 3)