Answer:
Take the square root of each side
Add 5 to each side
Step-by-step explanation:
(x-5)^2 = 25
Take the square root of each side
sqrt((x-5)^2 ) = ±sqrt(25)
x-5 = ±5
Add 5 to each side
x-5+5 = ±5 +5
x = 5 ±5
Solve for d.
–4(–3d − 3) = 6d
d =
Answer:
d = -2
Step-by-step explanation:
→Distribute the -4 to (-3d - 3)
-4(-3d - 3) = 6d
12d + 12 = 6d
→Subtract 6d from both sides:
6d + 12 = 0
→Subtract 12 from both sides:
6d = -12
→Divide both sides by 6:
d = -2
Answer:
[tex] \boxed{d = -2} [/tex]
Step-by-step explanation:
[tex]= > - 4( - 3d - 3) = 6d \\ \\ = >( ( - 4) \times ( - 3d)) - ( - 4 \times 3) = - 6d \\ \\ = > 12d + 12 = 6d \\ \\ = > 12d - 6d + 12 = 0 \\ \\ = > 6d + 12 = 0 \\ \\ = > 6d = - 12 \\ \\ = > d = - \frac{12}{6} \\ \\ = > d = - 2[/tex]
Please do number 2 QUICK
Answer:
25
Step-by-step explanation:
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97,
Answer:
25
Step-by-step explanation:
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97
HELP?! ASAP PLEASE! !!!
Answer:
In an isosceles triangle the base angles are congruent, meaning that the "missing" angle is also a. This means that 40 + a + a = 180 because the sum of angles in a triangle is 180.
40 + a + a = 180
40 + 2a = 180
2a = 140
a = 70°
Please answer CORRECTLY !!!!!! Will mark BRAINLIEST !!!!!!!!!
Answer:
Is this correct
a line with the a slope of -1 passes through the point 0, -3 what is its equation in slope intercept form
Answer:
y = -x -3
Step-by-step explanation:
Slope intercept form is in the form y= mx+b where m is the slope and b is the y intercept
Plug in the values from the problem
Teresa is 25 years old, and she makes $30,000 per year. If Teresa were to die,
how much would the beneficiaries of her life insurance policy receive if they
can get by on 75% of her income?
Answer:
They would receive $22,500 which is 75% of her income
Step-by-step explanation:
Here, we want to know how much the beneficiaries of a life insurance scheme would receive if their principal die.
From the question, we are told that they have the right to claim 75% of her income
From the question also, we were told that what she earns per annum is $30,000
Now, since they have the right to claim 75%, the amount they can claim out of the said income will be;
75/100 * $30,000 = $22,500
Answer:225,000
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If x=1+√2, evaluate x³+1/x³.
Answer:
18
Step-by-step explanation:
So we start solving like:
x+1x=3
(x+1x)3=33
x3+3.x2.1x+3.x.1x2+1x3=27
(x3+1x3)+3.x2.1x+3.x.1x2=27
x3+1x3+(3x+3x)=27
x3+1x3+3(x+1x)=27
x3+1x3+3×3=27
x3+1x3+9=27
x3+1x3=18
Therefore the answer is 18
If you used 0.5 ml of sample and 2.5 ml of diluent what is your dilution ratio?
Answer:
1/6
Step-by-step explanation:
I think it is:
0.5/(0.5+2.5) = 0.5/3 = 1/6
Can u guys pls help me with my maths
Answer:
um what's your math on??
How do I do this?
I really need help and I don’t understand
Answer:
I think its a trapezium
area of trapezium= 1/2×(sum of parallel sides) ×height
1×(28+26)×18
2
1/2×54×18
54×9
= 586 km²
hope it helps
Don Julio tiene 42 años de edad y Rubén 18,
¿en qué razón están las edades de Rubén y don
Julio?
A) 3 : 4
B) 3 : 5
C) 3 : 6
D) 3 : 7
E) 3 : 8
Answer:E
Step-by-step explanation:
A fishing lodge wants to build a new boat ramp. The slope of the ramp must be 8° to the horizontal. The total height of the bank is 2.8 m. How long must the sloping section of the ramp be? Give your answer to the nearest centimetre.
Answer:
The length of the sloping section of the ramp is 20.12 m
Step-by-step explanation:
Given;
the total height of the bank, h = 2.8 m
The slope of the ramp must be 8° to the horizontal, i.e, θ = 8°
Let the length of the sloping section = L
let the horizontal distance between the height of the bank and sloping section = b
Thus, h, L and b forms three sides of a right angled-triangle, with L as the hypotenuse side, h (height of the triangle) as the opposite side and b (base of the triangle) as the adjacent side.
We determine L by applying the following formula;
Sinθ = opposite / hypotenuse
Sin θ = h / L
L = h / Sin θ
L = 2.8 / Sin 8
L = 2.8 / 0.13917
L = 20.12 m
Therefore, the length of the sloping section of the ramp is 20.12 m
The price of a rare collection car has increased exponentially
over the past few years with a rate of increase estimated at 5% per year.
At the start of 2015 the value of the car was estimated at £265000.
Estimate the value of the car at the start of 2010.
Round your answer to 3 significant figures.
Answer: £208,000
Step-by-step explanation:
Hi, to answer this question we have to apply an exponential growth function:
A = P (1 + r) t
Where:
p = original price
r = increase rate (decimal form)
t= years (2015-2010 =5 years)
A = price after t years
Replacing with the values given:
265,000 = p (1+ 0.05)^5
Solving for p
265,000 = p (1.05)^5
265,000 = p (1.05)^5
265,000/ (1.05)^5 =p
p = £207,634. =208,000 (rounded)
Feel free to ask for more if needed or if you did not understand something.
Answer:
208,000
Step-by-step explanation:
Two parallel lines are crossed by a transversal. Horizontal and parallel lines p and q are cut by transversal m. At the intersection of lines p and m, the bottom left angle is b degrees. At the intersection of lines q and m, the top right angle is 128 degrees. What is the value of b?
Answer:
128
Step-by-step explanation:
Answer:
I think its C: 102
Step-by-step explanation:
78 + x = 180
180-78 = 102
What is the circumference AND area or circle C?
Answer:
[tex]56.55[/tex] [tex]in[/tex]
[tex]254.47[/tex] [tex]in^{2}[/tex]
Step-by-step explanation:
[tex]C=\pi d[/tex]
[tex]C=18\pi[/tex]
[tex]C=56.54866776[/tex]
[tex]A=\pi r^{2}[/tex]
[tex]A=\pi(9)^{2}[/tex]
[tex]A=81\pi[/tex]
[tex]A=254.4690049[/tex]
There were more dragons than knights in the battle. In fact, the ratio of dragons to knights was 5 to 4. If there were 60 knights, how many dragons were there?
Answer:
75 Dragons
Step-by-step explanation:
We know that the ratio is 5 dragons and 4 knights.
Now, there are 60 knights, meaning the original number of knights (4), was multiplied by 15. So, if one side is multiplied by 15, the other side must follow the same rule. So, 15 x 5 = 75.
There are 75 Dragons.
Answer:
75
Step-by-step explanation:
thats a lot of flipping dragons, you better hope they are the size of a dog or youre flipping dead
And the area
Plz help me anyone.
Jenny is going to tile her kitchen floor. She has taken out all the furniture and appliances. Below is the floor
plan of her kitchen.
2.5m
1.5m
14m
Jenny wants to know if she has got enough money to buy the tiles.
The tiles are sold in packs, which cover 3m
Jenny has a discount card which gives her 25% off any marked price at the DIY shop.
The tiles are marked at £14.40
Jenny has £100 to spend on the tiles.
How much extra does Jenny need to buy the tiles?
Give your answer in pence.
Answer:
Jenny needs £8 extra to buy the tiles.
Step-by-step explanation:
Jenny's kitchen floor is in the form of trapezoid.
Area of a trapezoid = [tex]\frac{1}{2}(b_1+b_2)h[/tex]
[tex]=\frac{1}{2}(2.5+1.5)14[/tex]
= 28 meter²
One pack of tiles covers the area = 3 meter²
She needs the number of packs of tiles = [tex]\frac{\text{total area }}{\text{area covered by one pack of tile}}[/tex]
[tex]=\frac{28}{3}[/tex]
= 9.33
Therefore, she has to purchase 10 packs of tiles.
Since the price of one pack of tiles = £14.40
Price of 10 packs of tiles = 14.40 × 10
= £144
Price after using discount card of 25% = 144 -(25% of 144)
= 144 - (0.25 × 144)
= 144 - 36
= £108
Jenny has £100, so she needs £8 extra to buy the tiles.
write the equation for a parabola with a focus at (0,-5) and a directrix at y=-3
QUICK!! Identify the parts of this prism. A is ___ B is ___ C is ___
Answer:
c=face. b=vertex. a=line
Step-by-step explanation:
Answer:
a= edge b=vertex c=face
Step-by-step explanation:
How much money must be deposited to T
earn $200.00 in simple interest in 6 months at an annual
rate of 5.5%?
Can someone help me please?!
Answer:
First, converting R percent to r a decimal
r = R/100 = 5.5%/100 = 0.055 per year.
Putting time into years for simplicity,
6 months / 12 months/year = 0.5 years.
Solving our equation:
A = 200(1 + (0.055 × 0.5)) = 205.5
A = $205.50
Step-by-step explanation:
Angle b measures 60 what is the measure of the angle that is complementary to angle b ?
Answer:
30°
Step-by-step explanation:
Complementary is they add up to 90°
90° - 60° = 30°
Answer:
30 degrees
Step-by-step explanation:
Complementary angles add up to 90 degrees. Thus, 60 and (complementary angle) = 90 degrees. Thus, the angle that is complementary to 60 degrees is 30 degrees.
One recipe calls for 1/3 cup of flour per batch and the other calls for 1/2 per batch. How much flour will Marcy use if she makes 12 batches for each type of cookie?
Answer:
The answer would be 10 cups
Step-by-step explanation:
A farmer wants to plant peas and carrots on no more than 300 acres of his farm. If x represents the number of acres of peas and y represents the number of acres of carrots for solution (x, y), then which is a viable solution? (−25, 100) (380, −160) (150, 145) (100, 250)
Answer:
The answer is C.
Step-by-step explanation:
You can't have a negative number of peas or carrots, so A and B are out. 1
00+250=350 which is more than 300.
150+145 = 295 which is less than 300.
So the answer is C.
The solutions of an equation are the true values of the equation.
The only viable solution is (c) (150, 145)
Let x represent peas and y represents carrots.
So, the constraints are:
[tex]\mathbf{x , y \ge 0}[/tex] ---- i.e. the values of x and y cannot be 0
[tex]\mathbf{x + y \le 300}[/tex] ---- i.e. the sum of x and y cannot exceed 300
[tex]\mathbf{x , y \ge 0}[/tex] means that options (a) and (b) are wrong.
This is so, because:
(-25, 100) and (380, -160) contain negative values of x or y
[tex]\mathbf{x + y \le 300}[/tex] means that option (d) is wrong.
This is so, because:
The sum of (100, 250) exceeds 300
Hence, the only viable solution is (c) (150, 145)
Read more about viable solutions at:
https://brainly.com/question/16057582
Simplify √108+√125-√75
Answer: Answer in the photo
Step-by-step explanation:
Answer:
12.91
Step-by-step explanation:
find the square roots ;
10.39 + 11.18 - 8.66 = 12.91
What is the equation of the line, in point-slope form, that passes through the points (-1, 7) and (-2, 3)?
Answer:
Step-by-step explanation:
(3-7)/(-2+1)= -4/-1= 4
y - 7 = 4(x + 1)
y - 7 = 4x + 4
y = 4x + 11
what is the answer for this equation 8k - 62 = 2 plz answer this correctly
Answer:
k = 8
Step-by-step explanation:
You are solving for the variable, k. Note the equal sign, what you do to one side, you do to the other.
Do the opposite of PEMDAS. PEMDAS =
Parenthesis
Exponents
Multiplications
Division
Addition
Subtraction
First, add 62 from both sides:
8k - 62 = 2
8k - 62 (+62) = 2 (+62)
8k = 2 + 62
8k = 64
Next, divide 8 from both sides:
(8k)/8 = (64)/8
k = 64/8
k = 8
8 is your answer for k.
~
Which graph represents the function f(x) = 2 (2)X?
Answer:
C.) Third graph
Step-by-step explanation:
BeCaUsE i KnOw :P
what is the equation of a circle with center (5, -8) and diameter 4?
Answer:
is 8 porque s mi nose maje
Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!
Answer:
The equation are:
1) h + s = 20
2) 4h = 1s
Step-by-step explanation:
Number of hats Elliott made = h
Number of scarfs Elliott made = s
total number of items Elliott made = 20
h + s = 20 ..[1]
1 hat uses 0.2 kilograms of yarn
1 hat = 0.2 kg of yarn
Then h hats will use = 0.2h kg of yarn
1 scarf uses 0.1 kilograms of yarn
1 scarf= 0.1 kg of yarn
Then s scarfs will use = 0.1s kg of yarn
She wants to twice as much as yarn for scarves for hats:
2 × (0.2h kg of yarn) = 0.1s kg of yarn
0.4h = 0.1s
4h = 1s...[2]
The equation are:
1) h + s = 20
2) 4h = 1s
Answer:C
0.1s=2•0.2h
H+S=30
Step-by-step explanation: I did it on khan