Answer
8,98
Step-by-step explanation:
the minimum amount of weight you can use is the barbell alone which is 8lbs by itself and the maximum is 98 because there are 6 15lb plates which equal to 90lb total and when you add the 6 plates to the barbell you get 98lbs
Andy £9500 Bevan £25000 Cheryl £13250 Deva £75000 Elliott £12750 Frankie £29500 Grace £11000 a) Work out the mean income to 2 DP. b) Deva was given a large bonus for 30 years service. Excluding Deva's income, what was the mean income for the remaining 6 workers to 2 DP?
Answer:
a. £25142.86
b. £16833.33
Step-by-step explanation:
According to the Question,
Given, The Salary Of 7 People in An Office are,
Andy ⇒ £9500
Bevan ⇒ £25000
Cheryl ⇒ £13250
Deva ⇒ £75000
Elliott ⇒ £12750
Frankie ⇒ £29500
Grace ⇒ £11000
a. The mean income = Total Sum of Salaries ÷ Number of Workers
Mean = (9500+25000+13250+75000+12750+29500+11000) ÷ 7
Mean = 176000 / 7 ⇒ £25142.86
b. Now, The Mean income After Excluding Deva's Salary is,
Mean = (9500+25000+13250+12750+29500+11000) ÷ 6
Mean = 101000 / 6 ⇒ £16833.33
Please help me with this!!!!! I don't get it
Answer:
y = -1/7
Step-by-step explanation:
Mathematically, the distance between two points on a coordinate plane can be calculated using the formula;
d = √(x2-x1)^2 + (y2-y1)^2
for the first two points;
(5,y) and (1,4) ; we have
d = √(5-1)^2 + (y-4)^2
d = √(y-4)^2 + 16
For the other two;
(5,y) and (10,-3)
We have ;
d = √(5-10)^2 + (y + 3)^2
d = √(y+ 3)^2 + 25
from the question, these two distances are equal
all we have to do here is to equate the two distances
So we have it that;
(y-4)^2 + 16 = (y + 3)^2 + 25
y^2 -8y + 16 + 16 = y^2 + 6y + 9 + 25
-8y + 32 = 6y + 34
-8y -6y = 34-32
-14y = 2
y = -2/14
y = -1/7
divide (6x³+5x²-4x+3) by (2x+3)
Answer: 3x^2-2x+1
Step-by-step explanation:
Answer:
3x² - 2x + 1
Step-by-step explanation:
To get 3x²
6x³ ÷ 2x
To get -2x
-4x² ÷ 2x
To get +1
2x ÷ 2x
A circular track has a radius of 70cm. If an athlete runs around it twice, how far has he run?
Answer:140 cm
Step-by-step explanation: If they ran twice: 70*2=140cm
Someone please help hurry I need to turn this in
Answer:
option a is right cz both have same value itz 1/root 2 hope it may help u
2. Alin ang mas mabigat, isang kilong pako o isang libong
gramo ng bigas?
Answer:
Isang Kilong Pako
Step-by-step explanation:
Ang pako po ay metal at ang bigas po ay grain lang kung ikukumpara mo sa isang butil ng bigas at pako, diba pako po ang mas mabigat, kung isang kilo pa po ehh mas mabigat na po iyon kaysa sa bigas.
Thank you Please mark as Brainliest :>
Sophia determined that the expression Negative (4 x minus 5) + 2 (x minus 3) is equivalent to –2x – 5 by using the steps below.
Expression: Negative (4 x minus 5) + 2 (x minus 3)
Expression: –2x – 5
Step 1:
Choose a value of x
Choose x = 1.
Choose x = negative 1.
Step 2: Substitute
Negative (4 (1) minus 5) + 2 (1 minus 3)
Negative 2 (negative 1) minus 5
Step 3: Evaluate
Negative (4 (1) minus 5) + 2 (1 minus 3) = negative (negative 1) + 2 (negative 2) = negative 3
Negative 2 (negative 1) minus 5 = 2 minus 5 = negative 3
Step 4:
Compare
Since –3 = –3, the two expressions are equivalent.
Which explains whether Sophia is correct?
Answer:Hope This Helps ☺️
Step-by-step explanation:
She is not correct because she did not substitute the same number in both expressions in Step 1
Step-by-step explanation:
CASE 1: substitute 1 for x to both sides of the equations
L.H.S
-(4x-5)+2(x-3)
-(4 (1) - 5)+ 2(1-3) = - (-1) + 2(-2) = 1 - 4 = -3
R.H.S
-2x - 5
-2(1) - 5 = -2-5 = -7
Hence for x= 1
-(4x-5)+2(x-3) ≠ -2x -5
Because -3 ≠ -7
CASE 2: substitute -1 for x to both sides of the equations
L.H.S
-(4x-5)+2(x-3)
-(4 (-1) - 5)+ 2(-1-3) = - (-9) + 2(-4) = 9 - 8 = 1
R.H.S
-2x - 5
-2(-1) - 5 = 2-5 = -3
Hence for x= -1
-(4x-5)+2(x-3) ≠ -2x -5
Because 1 ≠ -3
Answer:
She is not correct because she did not substitute the same number in both expressions in Step 1
Anthony bought a new rectangular table for his living room the length of the table is 4 feet and the perimeter of the table is 14 feet what is the width of the table ?
A. 4 feet
B.5 feet
C. 2 feet
D.3 feet
Answer:
Option d
Step-by-step explanation:
Length = 4 ftPerimeter = 14 ftWidth = ?→ Perimeter of rectangle = 2(l + w)
→ 14 = 2(4 + w)
→ 14 ÷ 2 = 4 + w
→ 7 = 4 + w
→ 7 - 4 = w
→ 3 ft = w
Therefore, width is 3 ft. (Option D)
What percent of Rs.400 is Rs. 20000?
Answer:
2%
Step-by-step explanation:
43. If L is the midpoint of KN an MP, which methods can be used to prove the triangles are congruent
Answer:
Step-by-step explanation:
Two triangles are said to be congruent if all their corresponding sides and corresponding angles are equal to each other.
Given that L is the midpoint of KN an MP, hence:
KL = LN; and ML = LN
Also, ∠KLM = ∠PLN (vertical opposite angles are congruent to each other)
Since ∠KLM = ∠PLN, KL = LN; and ML = LN, we can hence say that triangle KLM and triangle LNP are congruent triangles using Side-angle-side (SAS) triangle congruency theorem.
The SAS theorem states that if two sides and one included angle of one triangle is equal to two sides and an included angle of another triangle, then both triangle are congruent
BRAINLIEST IF CORRECT You choose a movie at random from a list containing 8 comedy movies, 5 science fiction movies, and 7 adventure movies. What is the theoretical probability that the movie is not a comedy?
Select all that apply.
0.60
50%
252 fifths
353 fifths
60%
Answer:
0.60 & 60%
Step-by-step explanation:
Grant is working at a veterinarian's office, and he needs to give a dose of medicine to a
25 kg dog. If a 10 kg dog needs 18 mL of the same medicine, how many milliliters of
medicine does the 25 kg dog need?
Answer:
45ml
Step-by-step explanation:
10 kg needs 18mL
So, 1kg = 1.8ml
25kg needs = 1.8kg/ml x 25 kg
25 kg dog would need 45ml.
Answer:
45 ml
Step-by-step explanation:
Weight of the dog and quantity of medicine is in Direct proportion.
Let the quantity required for 25 Kg dog =x
10 : 18 :: 25 : x
Product of extremes = product of means
10 * x = 18 * 25
[tex]x = \frac{18 * 25}{10}\\\\x = 9 * 5 \\\\x = 45[/tex]
Help with this question, not sure what the answer is
Answer:
3rd option
Step-by-step explanation:
The zeros ( where the graph crosses the x- axis ) are x = 3 and x = 7
The corresponding factors are then (x - 3) and (x - 7)
The equation is then
f(x) = a(x - 3)(x - 7) ← a is a multiplier
To find a substitute any point on the graph into the equation.
Using (8, 15 ) , then
15 = a(8 - 3)(8 - 7) = a(5)(1) = 5a ( divide both sides by 5 )
3 = a
Thus
f(x) = 3(x - 3)(x - 7)
What is the measure of ADB?
solve for x round to the nearest tenth if necessary
Answer:
22.68
Step-by-step explanation:
SOH (opp/hyp)
sin34 = 12/x
(x)sin34 = 12 - divide sin34 on both sides
x = 12/sin34
x = 22.68
Math help please urgent please help
Answer:
Will cost 123 dollars.
Step-by-step explanation:
Find perimeter (50 m)
50 meters = 164 ft
164/10 ft = 16.4 ft
16.4 ft x 7.50 = 123 Dollars
Hope this helps. Consider giving brainliest :)
Find the average rate of change of f ( x ) = 3 x 2 − 9 on the interval [ 2 , b ] . Your answer will be an expression involving b
Answer:
[tex]m = 3b+6[/tex]
Step-by-step explanation:
Given
[tex]f(x)=3x^2 - 9[/tex]
Required
The average rate over [tex][2,b][/tex]
Average rate (m) is calculated using:
[tex]m = \frac{f(b) - f(a)}{b - a}[/tex]
Where
[tex][a,b] = [2,b][/tex]
So, we have:
[tex]m = \frac{f(b) - f(2)}{b - 2}[/tex]
Calculate f(b) and f(2)
[tex]f(x)=3x^2 - 9[/tex]
[tex]f(b)=3b^2 - 9[/tex]
[tex]f(2)=3*2^2 - 9 = 12 - 9 = 3[/tex]
So, we have:
[tex]m = \frac{f(b) - f(2)}{b - 2}[/tex]
[tex]m = \frac{3b^2 - 9 - 3}{b - 2}[/tex]
[tex]m = \frac{3b^2 - 12}{b - 2}[/tex]
Expand the numerator
[tex]m = \frac{3b^2 + 6b-6b-12}{b - 2}[/tex]
Factorize
[tex]m = \frac{b(3b + 6)-2(3b+6)}{b - 2}[/tex]
Factor out 3b + 6
[tex]m = \frac{(b -2)(3b+6)}{b - 2}[/tex]
Cancel out b - 2
[tex]m = 3b+6[/tex]
Lee will buy 3 notebooks for $1.29 each, 2 dozen pencils at $3.45 a dozen, and a box of pens for $14.85 a box. How much will Lee spend on his school supplies?
Answer:
Used another answer on Brainly
Step-by-step explanation:
If 3 notebooks are 1.29 each, that’s 3.87 on notebooks. two dozen pencils at 3.45 a dozen is 6.90. add 3.87, 6.90, and 14.85 for a total of $25.62.
If 3 notebooks are 1.29 each, that’s 3.87 on notebooks. two dozen pencils at 3.45 a dozen is 6.90. add 3.87, 6.90, and 14.85 for a total of $25.62.
What is the area of the shaded region? 2 cm 2cm
4cm 4cm
Answer:
12?
Step-by-step explanation:
4x4= 16(area)
2x2=4(area menor)
16-4= 12
Interior and exterior triangle angles
Answer:
m<S = 38°
Step-by-step explanation:
Given:
m<R = (x + 17)°
m<S = (2x - 2)°
m<T = (5x + 5)°
Required:
m<S
Solution:
First, we will need to determine the value of x by creating an equation. Thus:
m<R + m<S + m<T = 180° (sum of triangle)
Plug in the values
(x + 17)° + (2x - 2)° + (5x + 5)° = 180°
x + 17 + 2x - 2 + 5x + 5 = 180
Add like terms
8x + 20 = 180
8x + 20 - 20 = 180 - 20
8x = 160
8x/8 = 160/8
x = 20
Find m<S:
m<S = 2x - 2
Plug in the value of x
m<S = 2(20) - 2 = 40 - 2
m<S = 38°
ABC is a triangle right angled at A and D is a point on BC such that AD Ʇ BC. Show that AD2 = BD x DC. please answer fast URGENT
Answer:
The answer is below
Step-by-step explanation:
Pythagoras theorem states that for a right angled triangle, the square of the hypotenuse side is equal to the sum of the square of the remaining sides. The hypotenuse is the longest side (that is side opposite to the 90° angle).
In right angle triangle ABD:
AB² = AD² + BD² (1)
In right angle triangle ACD:
AC² = AD² + CD² (2)
Also:
AC² + AB² = BC² (3)
But BC = BD + CD
AC² + AB² = (BD + CD)² (4)
Adding equation 1 and 2 gives:
AB² + AC² = (AD² + BD²) + (AD² + CD²)
AB² + AC² = 2AD² + BD² + CD²
substituting AC² + AB² = (BD + CD)²:
(BD + CD)² = 2AD² + BD² + CD²
BD² + 2(BD)(CD)+ CD² = 2AD² + BD² + CD²
2AD² = 2(BD)(CD)
AD² = BD * CD
Find the value of x.
Answer:
cos 62=adjacent/hypotenuse
cos62=x/6
x=cos 62*6
x=2.8units
Answer:
x ≈ 2.8 units
Step-by-step explanation:
find measure of ∠B: 180-(90+62) = 28°
law of sines:
sin90°/6 = sin28°/x
1/6 = sin28°/ x
cross-multiply to get:
x = 6·sin28°
x ≈ 2.8 units
HELPPP ME PLEASE WILL MARK BRAINLIEST IF YOU GIVE ME THE CORRECT ANSWER
Answer:
Option (3)
Step-by-step explanation:
Properties for the vertical stretch or shrink of a function,
If a function is f(x) = k|x|
1). Function will be vertically stretched if k > 1
2). Function will have a vertical shrink if 0 < k < 1
To fit the given data graph of f(x) = |x| will vertically shrink without any translation along x or y-axis.
And the value of k will be, 0 < k < 1.
Therefore, g(x) = [tex]\frac{1}{3}f(x)[/tex] will be the transformed graph.
Therefore, Option (3) will be the correct option.
Please help asap thanks
HELP PLS i don’t understand it so can someone please help me
Step-by-step explanation:
hey :) I can't help you BUT there is a very good app I recommend it's called "algebrator". I really hope it helps you :)
There are 312 cards in 6 deck of playing cards write the ratio as a fraction them find the unit rate
Answer:
6x: 312
x: 52
Step-by-step explanation:
Let the deck be denoted by x then
6x: 312
There are 312 cards in 6x decks
In 1 deck x there are 312/6= 52 cards
6x: 312
6x/6: 312/6 Cancelling both sides by 6
x: 52
In ratio both the sides are divided by the same number to get equivalent fractions.
In 1 deck there are 52 cards
Classify the polynomial 8x^3 +6x^2 -3x +1 according to its degree and number of terms.?
Plz fast
Answer:
Find the degree, leading term, and leading coefficient.
Polynomial Degree:
3
Leading Term:
8x^3
Leading Coefficient:
8
Step-by-step explanation:
angle H and angle D are supplementary. If angle H has a measure of 128 degrees, find the measure of angle D
m<H + m< D = 180°
Since m<H and m<D are supplementary angles.
128°+m<D =180°
m<D = 180-128
m<D = 52°
Answer: m<D = 52°
Answer:
angle D=52 degree
Step-by-step explanation:
In supplementrary angles sum of two angles is always 180 degree
angle H +angle D=180 degree (since they are supplementary angles)
sbstitute the value of H
128 + angle D=180
angle D=180-128
angle D=52 degree
therefore angle D is 52 degree.
Please help if you can!!!!
Answer:
about 22 square units
Step-by-step explanation:
sana makatulong
Answer:
C: About 22 square units
Step-by-step explanation:
YW
Really stuck, please help
Answer:
Step-by-step explanation:
what do you know about the angles of a triangle? They make 180° right?
since you know that, now you can find angle Y , by using the triangle on the left, and you can find X by using the triangle on the right, then, when you know X & Y , use both of those to find Z :) got it?
Answer:
we know that a triangle's angles MUST add up to 180 degrees.
We can look at the triangle with the angles of 55, 80, and y. As the angles must add to 180, 55+80+y must be 180. Therefore, we find that y is equal to 45.
We can look at the triangle with the angles of 100, 60, and x. As the angles must add to 180, 100+60+x must be 180. Therefore, we find that x is equal to 20.
We then look at the triangle formed from x, y, and z. As the angles must add to 180, x+y+z must be 180. x is 20, y is 45, so 20+45+z = 180. Thus, z is 115.
So:
y = 45
x = 20
z = 115.