Answer:
y = (13/6)(b - 12)
Step-by-step explanation:
b = 6/13 y + 12
Subtract 12 from both sides.
b - 12 = 6/13 y
Multiply both sides by 13/6.
(13/6)(b - 12) = y
y = (13/6)(b - 12)
what is square root of 64?
Answer:
8
Step-by-step explanation:
8*8=64
(5.1 x 103) • (3.2 x 103)
Answer:
11480.22
Step-by-step explanation:
5.1x3.2 + 5.1x103 + 103x3.2 + 103x103
16.32 + 525.3 + 329.6 + 10609
11480.22
put in order smallest to largest
cups court pint gallons ounces quarts
Answer:
ounces, cups, pints, quarts, and gallons
Step-by-step explanation:
What is the place value of 3 in 9. 365?
Answer:
It is in the tenths place
Step-by-step explanation:
In the number 9.365, 3 is in the tenths place.
Tthe diagonals of a rectangle are twice as long as the shorter sides. calculate the angle between a diagonal and a short side.
Answer:
30°
Step-by-step explanation:
Let the length of shorter side of rectangle be x units.
Therefore, length of diagonal = 2x
In order to calculate the angle between a diagonal and a short side, we need to find the sin ratio of shorter side and diagonal of rectangle.
Let the measure of angle formed between shorter side and diagonal be [tex] \theta [/tex].
[tex] \therefore \sin \: \theta = \frac{x}{2x} \\ \\ \therefore \sin \: \theta = \frac{1}{2} \\ \\\therefore\sin \: \theta = \sin \: 30 \degree \\ ( \because \: \sin \: 30 \degree = \frac{1}{2}) \\ \implies \: \huge \red{ \boxed{\therefore\theta = 30 \degree }}[/tex]
What is the image of T( -4,0) under the rule (x - 7, y)
Answer:
Step-by-step explanation:
I know the answer but can not create it on here sorry....If 13x+2=15 then 6x=?
Answer:
6x=6
Step-by-step explanation:
13x+2=15
13x=13
x=1
Answer: 6x = 6
X = 1
Step-by-step explanation:
First you need to find the value of x with the equation given.
13x = 13 (I subtracted 2 from both sides)
X = 1
10 Two factory workers win the in-house raffle with a prize of £240. Monika and Robert share the prize money in a ratio of
3:5. How much does Monika get?
(a) £120
(b) £200
(c) £60
(d) £90
Answer:
(d) £90
Step-by-step explanation:
Total raffle prize = £240
Ratio of sharing
Monika : Robert
3 : 5
The amount Monika get is calculated as
3/(3 + 5) × £240
= 3/8 × £240
= 3 × 30
= £90
Therefore, the amount Monika gets is £90
a what are the odds in favor of drawing a black 7 in a deck of cards?
b. What are the odds against drawing a black 7 in a deck of cards?
Answer:
a. 1/25
b. 25/1
Step-by-step explanation:
There are 2 black 7s in a deck (7 of spades and 7 of clubs). So there are 50 cards that are not black 7s.
The odds in favor of drawing a black 7 is therefore 2/50 = 1/25.
The odds against drawing a black 7 is therefore 50/2 = 25/1.
The length of a rectangle is four times its width. If the area of the rectangle is 100 in2, find its perimeter.
Answer:
the perimeter is 50 inches squared
Step-by-step explanation:
if the length is 4 times that means the sides are 20 and 5
The decimal .28654 rounded to the nearest thousandth is ____.
Answer:
8000,I think this is right answer
Answer:
.287
Step-by-step explanation:
5 rounds up which makes the 6 a 7.
A bonus of £2100 is shared by 10 people who work for a company. 40 percent of the bonus is shared equally between 3 managers. The rest of the bonus is shared equally between 7 salesmen. One of the salesmen say if the bonus is shared equally between all 10 people I will get 25 percent more money. Is the salesmen correct? you must show your answer.
Help me on this question and please show your working out and explain thank you
Answer:
Salesman is not correct
Step-by-step explanation:
First we calculate the share of salesman when 60 percent of bonus is shared among 7 salesmen:
Bonus Share For 7 Salesmen = (0.6)(£ 2100)
Bonus Share For 7 Salesmen = £ 1260
Now, this is equally divided among 7 salesmen:
Bonus Share of 1 Salesmen (when 60% is shared) = S₁ = £ 1260/7
S₁ = £ 180
Now, we calculate the share each salesmen get if bonus is equally divided among 10 people:
Bonus Share of 1 Salesmen (when equally shared) = S₂ = £ 2100/10
S₂ = £ 210
S₂/S₁ = £ 210/£ 180
S₂/S₁ = 1.16
S₂ = 1.16S₁
S₂ = 116% of S₁
This means that if bonus is equally divided between all 10 people then the salesman will get 16 percent more money.
Therefore, salesman is not correct
A building is 1 ft from a 11-ft fence that surrounds the property. A worker wants to wash a window in the building 14 ft from the ground. He plans to place a ladder over the fence so it rests against the building. He decides he should place the ladder 9 ft from the fence for stability. To the nearest tenth of a foot, how long a ladder will he need
Answer:
17.2 feet
Step-by-step explanation:
The ladder is placed 9 feet away from the fence, which is 1 foot away from the building. Therefore, the ladder is [tex]9+1=10[/tex] feet away from the building.
We know that the window is 14 feet above ground.
We now have a triangle which we need to find the hypotenuse of.
/|
/ | 14
/_|
10
To find the hypotenuse, we can use the Pythagorean Theorem. This states that [tex]a^2+b^2=c^2[/tex], where a and b are the legs of a triangle and c is the hypotenuse.
The legs are 10 and 14, so lets substitute inside the equation.
[tex]10^2 + 14^2 = c^2\\\\100+196=c^2\\\\296=c^2\\\\c = \sqrt{296}\\\\c \approx 17.2[/tex]
Hope this helped!
PLEASE HELPP!! Round each mixed number to the nearest whole number. Then, estimate the sum.
14 11/12 + 3 1/6
Answer:
Step-by-step explanation: 14 11/12 rounds up to 15 and 3 1/6 is closer to 3 so the answer would be 18
A mother gives birth to a 9 pound baby. Every 2 months, the baby gains 3 pounds if x is the age of the baby in months,then y is the weight of the baby in pounds.
Find an equation of a line in the form y=Mx+b that describes the baby’s weight
Answer:
y=1.5x+9
Step-by-step explanation:
We can first write in 9 as b because the baby already started at 9 pounds, meaning the line showing the weight will also start from 9.
The question tells us that the baby grows 3 pounds every 2 months. In the equation, x represents months. We need to convert the rate of growth into 1 month to write in as the slope.
[tex]\frac{3pounds}{2 months} = \frac{1.5 pounds}{1 month}[/tex]
Now we know every month, the baby grows 1.5 pounds, which represents the rate of change, or M, in the equation.
what is the value of x?
30
45
55
60
Answer:
[tex]\boxed {\tt B. \ x=45}[/tex]
Step-by-step explanation:
x and 3x are on a straight line together. Therefore, they are supplementary and must add to 180 degrees.
Add x and 3x, and set that equal to 180.
[tex]x+3x=180[/tex]
Combine like terms on the right side of the equation. Both x and 3x have a variable, so they can be added together.
[tex](x+3x)=180[/tex]
[tex]4x=180[/tex]
Since we want to find x, we have to isolate x. x is being multiplied by 4. The inverse of multiplication is division. Divide both sides of the equation by 4.
[tex]\frac{4x}{4} =\frac{180}{4}[/tex]
[tex]x=\frac{180}{4}[/tex]
[tex]x=45[/tex]
x is equal to 45, so the correct answer is B. 45
In the diagram, we can see that two lines are intersecting and a two pairs of vertically opposite angles are forming. The angle on a line are supplementary to each other (linear pair).
Supplementary angles add upto 180°.Here, angle TRS and angle TRV are linear pair, so they will have a sum of 180°.
Then,
[tex] \angle TRS + \angle TRV = 180 \degree[/tex]
In the question, given angle TRS = x and angle TRV = 3x
[tex]x + 3x = 180 \degree[/tex]
[tex]4x = 180 \degree[/tex]
Now, divide 4 from both sides because we need to find x.
[tex]x = \frac{180 \degree}{4} [/tex]
[tex]x = 45 \degree[/tex]
It was given that Angle TRS is x
So, Angle TRS = 45°
Option B
#CarryOnLearning
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Ar the two triangles below similar? A. Yes, because the corresponding sides are proportional B. No, because the corresponding sides are not proportional. C. Yes, because thre are two pairs of congruent corresponding angles. D. No, because there are not two pairs of congruent corresponding agles. PLEASE HELP ME !!!!!!!!
Answer:
No, because there are not two pairs of congruent corresponding agles
What is 3/8 divided by 2
Hello.
3/8 divided by 2 can be put into the equation 3/8 ÷ 2/1.
You can't divide fractions, so you flip the divisor's fraction, then switch the equation to multiplication. The equation is now 3/8 × 1/2. Multiply across
--> 3 * 1
________
--> 8 * 2
Finishing the equations, we are left with 3/16. This cannot be reduced, so the final answer is 3/16
Find the value of the variables in the figure to the right.
Answer:
x = 9
y = 56
Step-by-step explanation:
(3x + 7)° + (6x + 2)° = 90° (both angles are complementary)
Find the value of x using this equation
[tex] 3x + 7 + 6x + 2 = 90 [/tex]
Collect like terms
[tex] 3x + 6x + 7 + 2 = 90 [/tex]
[tex] 9x + 9 = 90 [/tex]
Subtract 9 from each side
[tex] 9x + 9 - 9 = 90 - 9 [/tex]
[tex] 9x = 81 [/tex]
Divide both sides by 9
[tex] \frac{9x}{9} = \frac{81}{9} [/tex]
[tex] x = 9 [/tex]
y° = (6x + 2)° (both angles are vertical angles. Vertical angles are equal)
Plug in the value of x to find y
y = 6(9) + 2
y = 54 + 2
y = 56
What is the solution to the following equation 8x-3(2x-4)=3(x-6)
Answer:
X=30
Step-by-step explanation:
Answer:
[tex]x=-6[/tex]
Step-by-step explanation:
[tex]8x-3(2x-4) = 3(x-6)[/tex]
[tex]8x-6x+12 = 3x-18[/tex]
[tex]2x+12 = 3x-18[/tex]
[tex]2x=3x-30[/tex]
[tex]5x= -30[/tex] Divide by 5 next
[tex]x=-6[/tex]
Hope this helps, have a great day:)
Find the measurement
Answer:
RS = 2.4 cm
Step-by-step explanation:
RS + ST = RT
RS + 1.6 = 4
Subtract 1.6 from both sides.
RS = 4 - 1.6
RS = 2.4 cm
What is the inverse of f(x) = 2x+ 2?
HELLLLLLLLPPPP PLEEEAAASSSSSSEEEEEE
Answer:
1 and 8 , and 4 and 8 are congruent
The rest are supplementary
Step-by-step explanation:
Pls help I don't understand :( Will give Brainliest
Answer:
a. [tex]\frac{3}{50}[/tex]
Step-by-step explanation:
The formula for rate of change is:
[tex]rate .of .change = \frac{change. in. y}{change .in. x}[/tex] = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]
Your points are (1000, 310) and (3500, 460)
So
[tex]x_{1}[/tex] = 1000
[tex]y_{1}[/tex] = 310
[tex]x_{2}[/tex] = 3500
[tex]y_{2}[/tex] = 460
Plug into the formula
[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]
[tex]\frac{460-310}{3500-1000}[/tex] = [tex]\frac{150}{2500}[/tex] Reduce, each are divisible by 50
150/50 = 3 2500/50 = 50
so:
[tex]\frac{3}{50}[/tex]
The perimeter of a rectangle is represented by the expression 2 (3x + 1) + 22.
find the value of x
WILL MARK AS BRAINLIEST!
Answer:
37
Step-by-step explanation:
180-(81+62)=37
Answer:
x = 37°
Step-by-step explanation:
The sum of all internal angles in a triangle will always equal 180.
Thus, we know that 81 + 62 + x must equal 180.
81 + 62 + x = 180
143 + x = 180
Subtract 143 from both sides:
x = 180 - 143
x = 37
Answer: x = 37°
Please answer ASAP
what is 7.28 times 6 than that answer + 41.25 = ?
Answer: 84.93
Step-by-step explanation:
when you multiply 7.28 by 6 you get 43.68 then when you add 43.68+41.25 you get 84.93
Answer:
84.93
Step-by-step explanation:
7.28 x 6 +41.25
Do 7.28 x 6
43.68+41.25
Then add together
84.93
WILL MARK BRAINLY IF CORRECT; 100 POINTS I ALREADY FIGURE OUT LETTER A & B. I JUST NEED TO FIGURE OUT LETTER C.
Carrie Overwood works fluctuating work schedules. Besides her fixed salary of $1,044 per week, her employment agreement provides for overtime pay at an extra half-rate for hours worked over 40. This week she worked 48 hours. Compute the following amounts. Round all divisions to two decimal places and use the rounded amounts in subsequent computations. Round your final answers to the nearest cent.
a. The overtime earnings $ 87.04
b. The total earnings $ 1,131.04
c. If this was a BELO plan with a pay rate of $23.45 per hour and a maximum of 48 hours, how much would Overwood be paid for 42 hours? $
Answer:
$1008.35
Step-by-step explanation:
938$+ 70.35$ from overtime.
Answer:
1008.35
Step-by-step explanation:
I believe that's the answer
there were 96 runners to start a race. in the first half of the race, 1/4 of them dropped out. in the second half of the race, 1/6 of the remaining runners dropped out. how many runners finished the race?
Answer: 60
Step-by-step explanation: 1/4 of 96 is 24 so you subtract that and get 72. And 1/6 of 72 is 12 and you subtract that leaving you with 60 to remain.
11) the difference between the product of 4 and a
number and the square of the number
Answer:
[tex]= 4x-x^2\\\\[/tex]
Step-by-step explanation:
Let the number be x;
The product of 4 and the number will be;
[tex]= 4 * x\\\\= 4x[/tex]
The the square of the number is given as;
[tex]= x^2\\[/tex]
Taking the difference of both expressions above;
[tex]= 4x-x^2\\\\[/tex]
Factor out the common term:
[tex]= x(4-x)\\\\[/tex]
Hence the difference between the product of 4 and a number and the square of the number is [tex]= 4x-x^2\\\\[/tex]