Answer:
-8y +7x
Step-by-step explanation:
(–3y – x) – (5y – 8x)Distribute
-3y -x -5y +8x
Combine like terms
-3y-5y -x+8x
-8y +7x
11. A roofer calculates his bid price using the formula P = 1.85s + 4.2f, where s is the area of the roof in square feet and f is the length of the fascia in feet. Find the area of the roof with 190 feet of fascia and a price of $4,148. Round to the nearest square foot
Replace f with 190, replace P with 4148 and solve for s:
4148 = 1.85s + 4.2(190)
Simplify:
4148 = 1.85 + 798
Subtract 798 from both sides:
3350 = 1.85s
Divide both sides by 1.85:
s = 1,810.81
Rounded to nearest square foot = 1811 square feet.
Simple and easy question
please help
Answer:
Volume of a sphere = 4/3πr³
π = 3.14
r = radius which is 3in
Volume = 4/3 × 3.14 × 3²
= 37.68
= 38 cubic inches to the nearest hundredth
Hope this helps
Answer:
38 cubic inches
Step-by-step explanation:
Are rectangles ABCD and WXYZ congruent? Why or why not? Yes, all right angles were preserved. Yes, both rectangles have an area of 24 square units. Yes, a 180° rotation about the origin will map ABCD to WXYZ. No, there is not a rigid transformation or a combination of rigid transformations that will map ABCD to WXYZ.
Answer:
D. No, there is not a rigid transformation or a combination of rigid transformations that will map ABCD to WXYZ.
Step-by-step explanation:
Two figures are congruent if their vertices can be mapped into one another by appropriate rigid transformation or combination of rigid transformations. Examples of the transformation are; reflection, dilation, rotation and translation.
Comparing the two figures, it would be observed that they are not congruent. Since there is not a rigid transformation or a combination of rigid transformations that will map ABCD to WXYZ.
Answer:
it is D just took the test
Step-by-step explanation:
6x + 7y + x-8y = 7x - y
Write down three other expressions that are equal to 7x - y
Answer:
It's pretty easy! You can manipulate the numbers to match the equation.
For example,
x + 8y + 6x - 9y = 7x - y
5x + 2x - 2y + y = 7x - y
10x + 7y - 3x - 8y = 7x - y
The other equivalent expressions that are equal to 7x - y could be; x + 8y + 6x - 9y = 7x - y, 5x + 2x - 2y + y = 7x - y and 10x + 7y - 3x - 8y = 7x - y
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division. The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol; that can also be used to indicate the logical syntax's order of operations and other features.
We have been given the expression as;
6x + 7y + x-8y = 7x - y
When someone asks to solve an equation, then it usually mean to find the values of the unknowns for which that equation would be true (the equality between expressions should hold true for those values).
The other equivalent expressions that are equal to 7x - y could be;
x + 8y + 6x - 9y = 7x - y
5x + 2x - 2y + y = 7x - y
10x + 7y - 3x - 8y = 7x - y
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y=(x+9)÷(x-3)
Find the value of y when x=5
solution,
X=5
[tex]y = \frac{x + 9}{x - 3} \\ = \frac{5 + 9}{5 - 3} \\ = \frac{14}{2} \\ = 7[/tex]
hope this helps...
Good luck on your assignment..
Answer:
When x=5
Y=(5+9)÷(5-3)
= 14 ÷2
= 7
Marcie can mow 9 lawns every 14 hours. How many lawns can she mow in 49 hours?
Answer:
Number of lawns mow in 49 hours = 31.5 lawns
Step-by-step explanation:
Given:
Number of lawns mow = 9
Time taken = 14 hours
Find:
Number of lawns mow in 49 hours
Computation:
Time taken for 1 lawn = 14 / 9
Number of lawns mow in 49 hours = 49 / Time taken for 1 lawn
Number of lawns mow in 49 hours = 49 / (14/9)
Number of lawns mow in 49 hours = 31.5 lawns
The police department uses a formula to determine the speed at which a car was going when the driver applied the breaks, by measuring the distance of the skid marks.The equation d=0.03r^2+r models the distance, d, in feet, r miles per hour (r is the speed of the car) Factor the equation. d=?
Answer:
0.03 feet
Step-by-step explanation:
d = 0.03r² + r
When d = 0: 0.03r² + r = 0
r(0.03r + 1) = 0
∴ r = 0
When r = 0: d = 0.03 feet
If my score goes up 20,000 a day how long will it take me to reach 2,000,000
Answer:
It would take 100 days
Step-by-step explanation:
2,000,000 divided by 20,000 equals 100
So it would take 100 days
between which to whole numbers does the square root of 37 lie?
Between 6 and 7
6×6=36
7×7=49
hopefully this helped
The number √37 is lies between whole numbers 6 and 7.
We have to given,
A number is, √37
By the definition of square root, we get;
⇒ √37 = 6.08
And, We know that,
Number 6.08 is lies between whole number 6 and 7.
Hence, We get;
⇒ 6 < √37 < 7
Therefore, The number √37 is lies between whole numbers 6 and 7.
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can someone in here help me with this question I'm stuck and I don't know to do it
Answer:
Substitute -3,-2,-1,0,1,2,3 in d equation given to u at first to complete the table
how to find the angel in trigonometry when all the lengths of the right angled triangle already given.
Answer:
The three trigonometric ratios can be used to calculate the size of an angle in a right-angled triangle
Use rule ; SOHCAHTOA .Where sin x = opp/hyp
cos x = adj/hyp
tan x= opp/adj
Substitute the given values for the three sides
into any of the above rules
[tex]example = Hyp = 2\\opp = 1\\sin- x = 1/2\\x = sin^{-1} 1/2\\x = 30[/tex]
Step-by-step explanation:
I Hope It Helps :)
What is the Square root of -100
Answer:
[tex]10i[/tex]
Step-by-step explanation:
√(-100)
Use the imaginary number rule [tex]i=\sqrt{-1}[/tex]
√(-1) × √(100)
i × √(10²)
i × 10
= 10i
Answer:
It does not have a square root because it is a minus digit.
Step-by-step explanation:
The square root of one number is the number which is multiplied by itself to form the square number.
But, no negative number has a square root, because
- x - = +
+ x + = +
As you can see, no two same signs multiply together to form a negative.
Hope this helps.
Good Luck
Mrs. Brown has 11 more boys than girls in her class and has a total of 28 students. Which of the following systems of equations could be used to solve this problem?
Answer:
g=number of girls in the class b=number of boy in the class
g+b=28
g=11+b
Which of the following investments could be represented by the function A = 250(1 + 0.08/12)12 × 4?
hello,
the first term is 250 so this is the initial invested amount
[tex](1+\dfrac{0.08}{12})^{12}=(1+\dfrac{8\%}{12})^{12}[/tex]
is to compute 8% annual interest compounded monthly (there are 12 months in a year)
and then multiply by 4 means that it is computed for 4 years so
finally the answer is
$250 is invested at 8% annual interest compounded monthly for 4 years
hope this helps
4.- En una pastelería han preparado 30 pasteles. Los van a colocar en bandejas de forma que en cada bandeja haya el mismo número de pasteles y no sobre ninguno. ¿De cuántas formas los puede colocar?
Answer:
7 formas
Step-by-step explanation:
En la pastelería, se han preparado 30 pasteles.
Cada bandeja contendrá la misma cantidad de pasteles.
Para encontrar de cuántas maneras puedes ponerlos, tenemos que encontrar los factores de 30. Ellos son:
1, 2, 3, 5, 6, 10, 15, 30
Esto significa que podemos tener:
30 bandejas que contienen 1 bandeja cada una
15 bandejas con 2 tortas cada una
10 bandejas con 3 tortas cada una
6 bandejas con 5 tortas cada una
5 pasteles que contienen 6 pasteles cada uno
3 bandejas con 10 pasteles cada una
2 bandejas con 15 tortas cada una
Esto significa que hay 7 formas de colocar los pasteles.
Enter values to complete the table below.
Answer: The answers are in the steps
Step-by-step explanation:
x y value of y/x
-3 -3 1
1 1 1
3 3 1
PLEASE HELP ME LAST QUESTION!!!!!!
Answer:
Angle 5
Step-by-step explanation:
Answer:
Angle 5
Step-by-step explanation:
Angle 8 is across from angle 5 meaning they have the same degrees.
A company rounds its losses to the nearest dollar. The error on each loss is independently and uniformly distributed on [–0.5, 0.5]. If the company rounds 2000 such claims, find the 95th percentile for the sum of the rounding errors.
Answer:
the 95th percentile for the sum of the rounding errors is 21.236
Step-by-step explanation:
Let consider X to be the rounding errors
Then; [tex]X \sim U (a,b)[/tex]
where;
a = -0.5 and b = 0.5
Also;
Since The error on each loss is independently and uniformly distributed
Then;
[tex]\sum X _1 \sim N ( n \mu , n \sigma^2)[/tex]
where;
n = 2000
Mean [tex]\mu = \dfrac{a+b}{2}[/tex]
[tex]\mu = \dfrac{-0.5+0.5}{2}[/tex]
[tex]\mu =0[/tex]
[tex]\sigma^2 = \dfrac{(b-a)^2}{12}[/tex]
[tex]\sigma^2 = \dfrac{(0.5-(-0.5))^2}{12}[/tex]
[tex]\sigma^2 = \dfrac{(0.5+0.5)^2}{12}[/tex]
[tex]\sigma^2 = \dfrac{(1.0)^2}{12}[/tex]
[tex]\sigma^2 = \dfrac{1}{12}[/tex]
Recall:
[tex]\sum X _1 \sim N ( n \mu , n \sigma^2)[/tex]
[tex]n\mu = 2000 \times 0 = 0[/tex]
[tex]n \sigma^2 = 2000 \times \dfrac{1}{12} = \dfrac{2000}{12}[/tex]
For 95th percentile or below
[tex]P(\overline X < 95}) = P(\dfrac{\overline X - \mu }{\sqrt{{n \sigma^2}}}< \dfrac{P_{95}- 0 } {\sqrt{\dfrac{2000}{12}}}) =0.95[/tex]
[tex]P(Z< \dfrac{P_{95} } {\sqrt{\dfrac{2000}{12}}}) = 0.95[/tex]
[tex]P(Z< \dfrac{P_{95}\sqrt{12} } {\sqrt{{2000}}}) = 0.95[/tex]
[tex]\dfrac{P_{95}\sqrt{12} } {\sqrt{{2000}}} =1- 0.95[/tex]
[tex]\dfrac{P_{95}\sqrt{12} } {\sqrt{{2000}}} = 0.05[/tex]
From Normal table; Z > 1.645 = 0.05
[tex]\dfrac{P_{95}\sqrt{12} } {\sqrt{{2000}}} =1.645[/tex]
[tex]{P_{95}\sqrt{12} } = 1.645 \times {\sqrt{{2000}}}[/tex]
[tex]{P_{95} = \dfrac{1.645 \times {\sqrt{{2000}}} }{\sqrt{12} } }[/tex]
[tex]\mathbf{P_{95} = 21.236}[/tex]
the 95th percentile for the sum of the rounding errors is 21.236
if f(x)=4ˣ-8 and g(x)=5x+6, find (f-g) (x)
Answer:
(f-g) (x) is
[tex] {4}^{x} - 5x - 14[/tex]
Step-by-step explanation:
f(x)=4ˣ - 8
g(x)=5x+6
(f-g) (x) is
[tex] {4}^{x} - 8 \: - (5x + 6) \\ {4}^{x} - 8 - 5x - 6[/tex]
The final answer is
[tex] {4}^{x} - 5x - 14[/tex]
Hope this helps you.
The sides of an equilateral triangle measure 16 inches. The midpoints of the sides of the triangle are joined to form another equilateral triangle with sides that are half the length of the outer triangle. This process is continued until three triangles are inscribed in the first triangle. The sum of the perimeters of all four triangles is
Answer:
90 inches
Step-by-step explanation:
The perimeter of the inscribed triangle is 1/2 that of the enclosing triangle. So, the total of perimeters is ...
(3·16 in)(1 +1/2 +1/4 +1/8) = (48 in)(15/8) = 90 inches
The graph below shows the price of different numbers of beach balls at a store: Which equation can be used to determine p, the cost of b beach balls? b = 5.50p p = 5.50b p = 11b b = 11p
Answer:
p = 5.50b
Step-by-step explanation:
2 beach balls cost 11
4 beach balls cost 22
6 beach balls cost 33
So each (1) ball b costs 5.50 ($) p
Please someone help me on these questions
Hey there! :)
Answer:
a) 24 cm²
b) 40.04 cm²
--------------------
Use the formula A = l × w to solve for each rectangle's area:
a)
8 × 3 = 24 cm².
b)
5.2 × 7.7 = 40.04 cm²
Answer:
a) 24
b) 40.04
Step-by-step explanation:
a) Area of a rectangle: length x width
length = 8
width = 3
Plug these values into the equation above:
8 x 3 = 24
b) Same steps as above except with different values for length and width
5.2 x 7.7 = 40.04
Which statement is true about the equations –3x + 4y = 12 and 1/4x-1/3y=1
Answer: No solution
Step-by-step explanation:
This system of equation has no solution because...
-3x+4y=12
1/4x-1/3y=1
[tex]-3x+4y-4y=12-4y[/tex]
[tex]-3x=12-4y[/tex]
[tex]\frac{-3x}{-3}=\frac{12}{-3}-\frac{4y}{-3}[/tex]
[tex]\frac{12}{-3}-\frac{4y}{-3}[/tex]
[tex]x=-\frac{12-4y}{3}[/tex]
substitute
[tex]\frac{1}{4}\left(-\frac{12-4y}{3}\right)-\frac{1}{3}y=1[/tex]
[tex]-1=1[/tex]
-1=1 is false so therefore this system has no solution
this diagram shows a scale drawing of a playground the scale is ___ 1:500 work out the perimeter of the real playground give your answer in meters
Answer:
The perimeter of the actual playground is 22000 units
Step-by-step explanation:
By measurement, the width of the scale drawing = 16 units
The breadth of the scale drawing = 6 units
Therefore, given that the scale is 1:500, we have that the actual dimensions of the playground are;
Actual width of the playground = 500×16 = 8,000 units
Actual breadth of the playground = 500×6 = 3,000 units
Therefore;
The perimeter of the actual playground = 2 × 8000 + 2 ×3000 = 22000 units.
What is the 5th equivalent fraction to 1/11 ?
Answer: 5/55
Step-by-step explanation:
1/11 x 5 = 5/55
So, the fifth equivalent fraction to 1/11 is 5/55.
The 5th equivalent fraction should be [tex]5\div 55[/tex]
Calculation of the equivalent fraction:Since the fraction is [tex]1\div 11[/tex]
So here the 5th equivalent should be
[tex]= 1\div 11 \times 5\div 5[/tex]
= [tex]5\div 55[/tex]
Here 5 represent the numerator and 55 represent the denominator.
Therefore, we can concluded that The 5th equivalent fraction should be [tex]5\div 55[/tex]
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simplifica: 49/90, se puede????
Answer:
49/90 is simplified
Step-by-step explanation:
Answer:
Step-by-step explanation:
49/90
Which number sentence is NOT true? A. B. |-3| = -3 C. D. HELP PLEASE ILL GIVE BRAINLIEST!!!
Answer:
it looks like the question is not complete but anything in a bracket like(-3) since tjere is no number in front of it or anything to divide it if the number is alone there is no need for the bracket
Answer:
A
Step-by-step explanation:
What is the value for y? Enter your answer in the box. y = An isosceles triangle A B C with horizontal base A B and vertex C is below the base. Side A C and C B are labeled with single tick mark. All the three angles are labeled. Base angles C A B is labeled as 34 degrees and angle C B A is labeled as left parenthesis x minus 5 right parenthesis degrees. The angle A C B is labeled as 4y degrees.
Answer:
28.
Step-by-step explanation:
I just did the question and I got it right. The answer above is right. The image below is where I did the question and has the picture attached next to it too.
*And I accidentally clicked the one star option, that's why it has such a low score.
An isosceles triangle is a triangle where two sides are equal and the angles opposite to the sides are also equal.
The value of y is 28.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
An isosceles triangle is a triangle where two sides are equal and the angles opposite to the sides are also equal.
m∠CAB = 34
m∠CBA = x - 5
m∠ACB = 4y
Triangle ABC is an isosceles triangle.
AC and BC are sides are equal.
This means,
m∠CAB = m∠CBA
34 = x - 5
34 + 5 = x
x = 39
Now,
The sum of the angles in a triangle is 180 degrees.
This means,
34 + (x -5) + 4y = 180
34 + (39 - 5) + 4y = 180
34 + 34 + 4y = 180
68 + 4y = 180
4y = 180 - 68
y = 112 / 4
y = 28
We can cross-check.
34 + 34 + 4 x 28 = 180
34 + 34 + 112 = 180
180 = 180
Thus,
The value of y is 28.
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Trey is running for president of the chess club, and he received 8 votes. There are 80 members in the club. What percentage of the club members voted for Trey?
Answer:10
Step-by-step explanation:
8/80=1/10*100=10
If you are given the graph of h(x) = log6x, how could you graph M(x) = log6(x+3)?
Answer:
Translate 3 units to the left
Step-by-step explanation: