Answer:
71
Step-by-step explanation:
If a decimal needs to be rounded to a whole number, you need to refer to the tenths place in the decimal. In this case, that is "5" and in math, when rounding, if it is 5 or more, you round up to the next whole number. If it is 4 or less, you round down. So 70.5 rounded to the nearest whole number is 71. :)
Abbey has $25. She plans on saving $10 a week. Which inequality shows how many weeks, w, she must save to have at least $250?
Answer:
22.5 weeks
Step-by-step explanation:
Scale drawing: a rectangle with length 4 feet and width 3.75 feet. Initial dimensions: a rectangle with length 24 feet and width 15 feet. New dimensions: a rectangle with length 20 feet and width 18.75 feet.
Abdul planned a pool to be 24-feet long. To fit in his yard, however, the pool can only be 20-feet long. Abdul’s ratio and work is below. Where did he make an error?
StartFraction 24 feet divided by 6 over 20 feet divided by 6 EndFraction = StartFraction 4 over 3 EndFraction
Abdul’s work is correct.
Abdul should have divided by 5, not 6.
Abdul should have divided by 4, not 6.
This problem has no change in the scale factor.
PLEASE ANSWER ASAP!!!
Answer:
He should have divided by 4, not 6....
Step-by-step explanation:
Just did the lesson
Abdul have done error by dividing with 6 instead of 5, So Abdul should have divided by 5, not 6 is correct option.
What is Area of Rectangle?The area of Rectangle is length times of width.
According to the information provided, the initial dimensions of the pool are a rectangle with length 24 feet and width 15 feet.
The corresponding dimensions in the drawing are a rectangle with length 4 feet and width 3.75 feet.
Therefore, the scale factor for the length is:
24/4 = 6
And the scale factor for the width is:
15 feet / 3.75 feet = 4
Abdul wants to fit the pool into a smaller space, so he needs to find the corresponding dimensions of the pool in the drawing that has a length of 20 feet.
To maintain the same scale, he needs to apply the same scale factor to the new length.
Thus, the new length in the drawing is:
20/6 = 3.33 feet
Similarly, he needs to apply the same scale factor to the new width to maintain the same scale.
Thus, the new width in the drawing is:
18.75/4 = 4.69 feet
Now, let's check Abdul's work:
24/6×6/20=4/3
Left side is not equal to right side.
Abdul should have divided by 5, not 6.
Hence, Abdul have done error by dividing with 6 instead of 5, So Abdul should have divided by 5, not 6 is correct option.
To learn more on Rectangles click:
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f 5y - 8 < 12, what is the maximum possible value of 10y ?
Answer: 30 is the maximum possible value of y
6.
Using the incenter P, find the measure of Angle XZY
Answer: 62
Step-by-step explanation:
find the three consecutive even intergers such that the sum of twice the smallest number and three times the largest is 42
Answer:
6, 8, 10.
Step-by-step explanation:
Let n be any integer.
Then our first even integer will be [tex]2n[/tex]
And the consecutive integers will be [tex]2n+2[/tex] and [tex]2n+4[/tex]
We want to find the integers such that the sum of twice the smallest number (2n) and three times the largest number (2n+4) is 42. In other words:
[tex]2(2n)+3(2n+4)=42[/tex]
Solve for n. Distribute:
[tex]4n+6n+12=42[/tex]
Combine like terms:
[tex]10n+12=42[/tex]
Subtract 12 from both sides:
[tex]10n=30[/tex]
Divide both sides by 10:
[tex]n=3[/tex]
So, the value of n is 3.
This means that our first even integer is 2(3) or 6.
So, our sequence of integers is: 6, 8, 10.
And we're done!
Notes:
We use 2n because anything integer multiplied by 2 ensures that the resulting number is even. Starting out, n can be either even or odd, but by multiplying it by 2, we will get an even number.
the scale of a map is 1cm : 2km. if the length of Alfreda creek on this map is about 2.85 cm, calculate the actual length of the creek
1 cm..............2 km = scale of the map
2,85 cm....... n km = to be calculated
n x 1 = 2 x 2,85
n = 5,7 km
Step-by-step explanation:
1cm rep 2km
2.85x2
=5.7
=5.7km
The diagram shows a rectangle with its side.
a) Find an expression, in terms of x, for the perimeter of the rectangle.
b) The perimeter of the rectangle is 56 cm. Find the value of x. 1
Answer:
Ans of a = 18x
Ans of b = 3.111
7/8 divided by 1/4 simplest form
[tex] = \frac{7}{8} \div \frac{1}{4} [/tex]
[tex] = \frac{7}{8} \times \frac{4}{1} [/tex]
[tex] = \frac{(7 \times 8)}{4} [/tex]
[tex] = \frac{56}{4} [/tex]
[tex] = \frac{56 \div 4}{4 \div 4} [/tex]
[tex] = \frac{14}{1} [/tex]
[tex] = 14[/tex]
Therefore :-
[tex] \frac{7}{8} \div \frac{1}{4} = 14[/tex]
which sequence of transformations can be preformed on figure qrstu to show that the fugures are congruents
Answer:
Reflections, rotations, and translations produce an image that is congruent to the pre-image. Sequences of those transformations produce congruent images.
CAN SOMEONE HELP ME OUT PLEASE AND THANK YOU
Can anybody help me?
I'm on a time crunch.
x + 3= 8x -11
Question 1 options:
x=-1
x=1
x=2
x=4
Answer: x = 2
Steps: x + 3= 8x - 11
Subtract three form both sides: x + 3 - 3 = 8x - 11 - 3
Simplify: x = 8x - 14
Subtract 8x from both sides: x - 8x = 8x - 14 - 8x
Simplify: -7x = -14
Divide both sides by negative seven: -7x ÷ -7 = -14 ÷ -7
Simplify: x = 2
can anyone show how to do this....6840 ÷ 7
6840 ÷ 7 = ?
6840 | 7
63 977
=54
49
=50
49
=1
⇒ 6840 ÷ 7 = 977 remainder 1
What is the slope of the line that contains (-3,5) and (-3, 6)?
Answer:
1
Step-by-step explanation:
You can find slope by the formula
y2-y1 over x2-x1
In this case, 6-5 over -3-(-3) or -3=3
This is equal to 1 over 0 which is 1
Some steps are shown in converting the following conic inequality from general form to standard form. Complete the conversion and identify the shape, key feature, and which ordered pair is part of the solution set. 9x2 – 18x 4y2 16y – 11 > 0 9x2 – 18x 4y2 16y > 11 9(x2 – 2x) 4(y2 4y) > 11 9(x2 – 2x 1) 4(y2 4y 4) > 11 9 16 The conic represented in this inequality is a(n). The center is at. The ordered pair, , is a solution to the inequality.
The given inequality shows an ellipse with a center at (1,-2)
The major axis will be [tex]a=\sqrt{\dfrac{26}{9} }[/tex]
The minor axis will be [tex]b=\sqrt{\dfrac{26}{4} }[/tex]
What is an ellipse?The equation of an ellipse is written in the form
[tex]\dfrac{(x-h)^2}{a^2} +\dfrac{(y-k)^2}{b^2} =1[/tex]
The center is (h,k) and the larger of a and b is the major radius and the smaller is the minor radius.
Now the given inequality is
[tex]9x^2+18x+4y^2+16y-11 > 0[/tex]
[tex]9x^2+18x+4y^2+16y > 11[/tex]
[tex]9(x^2-2x)+4(y^2+4y) > 11[/tex]
[tex]9(x^2-2x+1)+4(y^2+4y+4) > 11+9+16[/tex]
[tex]9(x^2-2x+1)+4(y^2+4y+4) > 26[/tex]
On further solving
[tex]9(x-1)^2+4(y+2)^2 > 26[/tex]
[tex]\dfrac{(x-1)^2}{\dfrac{26}{9} } + \dfrac{(y+2)^2}{\dfrac{26}{4} } > 1[/tex]
Thus by comparing the equation with the standard form
[tex]\dfrac{(x-h)^2}{a^2} +\dfrac{(y-k)^2}{b^2} =1[/tex]
Thus we can see that the center (h,k) is (1,-2)
The major axis will be [tex]a=\sqrt{\dfrac{26}{9} }[/tex]
The minor axis will be[tex]a=\sqrt{\dfrac{26}{4} }[/tex]
To know more about ellipse follow
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Answer:
ellipse with a dashed line boundary
(1,-2)
(-2,0)
Step-by-step explanation:
assignment
answer? what is it?
7(3+5)+9
Answer:
65
Step-by-step explanation:
3+5=8
7x8+9
56+9
=65
Please give brainliest!
Answer:
=> 65
Step-by-step explanation:
=> 7(3+5)+9
=> 7(8)+9
=> 56+9
=> 65
a triangle has vertices d(6,1), e(2,3) and f(-1,-3). show that triangle DEF is a right angle triangle and identify the right angle triangle
We'll need the slope formula which is
[tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\[/tex]
We subtract the y values together, and divide that over the difference in the x values when subtracted in the same order.
Let's find the slope of line DE
[tex]D = (x_1,y_1) = (6,1) \text{ and } E = (x_2,y_2) = (2,3)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{3 - 1}{2 - 6}\\\\m = \frac{2}{-4}\\\\m = -\frac{1}{2}\\\\[/tex]
The slope of line DE is -1/2.
Next, compute the slope of line EF
[tex]E = (x_1,y_1) = (2,3) \text{ and } F = (x_2,y_2) = (-1,-3)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{-3 - 3}{-1 - 2}\\\\m = \frac{-6}{-3}\\\\m = 2\\\\[/tex]
The slope of line EF is 2.
Lastly, compute the slope of line FD
[tex]F = (x_1,y_1) = (-1,-3) \text{ and } D = (x_2,y_2) = (6,1)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{1 - (-3)}{6 - (-1)}\\\\m = \frac{1 + 3}{6 + 1}\\\\m = \frac{4}{7}\\\\[/tex]
The slope of line FD is 4/7.
--------------------------
To recap everything so far, we found the following:
slope of DE = -1/2slope of EF = 2slope of FD = 4/7The product of the first two slopes gets us (-1/2)*(2) = -1 showing that DE is perpendicular to EF.
Perpendicular slopes multiply to -1 as long as neither line is vertical nor horizontal.
Since DE is perpendicular to EF, this proves we have a 90 degree angle at point E.
Therefore triangle DEF is a right triangle.
Plz help! ASAP! Will mark Brainliest
Answer:
7/8 quart
Step-by-step explanation:
What is an equation of the line that passes through the point (-6,-6) and is parallel to the line x-3y=18
What select factor was applied to the first rectangle to get the result image
Answer:
A factor of 0.2
Step-by-step explanation:
If we multiply 2.5 by 0.2, we get 0.5, the width of the smaller rectangle.
A triangular garden has an area of 112 ft2. Its height is 2 ft more than its base. Find the measure of the base.
Answer:
14 ft.
Step-by-step explanation:
First, we will assign variables to each value. If height is h, and base is b, then
1/2bh = 112 and h=b+2.
We will use substitution in this system of equations. first, we will isolate the b in bh/2=112. To do this we will multiply both sides by 2 to isolate the variables, so bh=224. Then, to isolate just one variable, in this case, b, we will divide 224 by h, getting us b=224/h.
Then, we will substitute b for this value in h+2=b, leaving us with h+2=224/h
Then isolate the variable. h will equal either -14 or 16. Because this is a geometric shape, the value of its sides cannot be negative, so it has a height of 16.
Then, plug this into the second equation. If the height is 2 ft more than the base, then the base will be 14 ft.
what is 200 times 40000
200 times 40000 is 8000000.
200
x 40000
---------------
8000000
Answer: 8,000,000
Step 1: Multiply by smaller parts.
2 x 4 = 8
Step 2: Add all the zeros.
8,000,000
Answer = 8,000,000
Hope this helps!
Omar grouped the terms and factored the gcf out of the groups of the polynomial 3x3 – 15x2 – 4x 20. his work is shown. step 1: (3x3 – 15x2) (–4x 20) step 2: 3x2(x – 5) 4(–x 5) omar noticed that he does not have a common factor. which accurately describes what omar should do next? omar should realize that his work shows that the polynomial is prime. omar should go back and regroup the terms in step 1 as (3x3 – 15x2) – (4x 20). in step 2, omar should factor only out of the first expression. omar should factor out a negative from one of the groups so the binomials will be the same.
The step that Omar should proceed with is given by: Option D: Omar should factor out a negative from one of the groups so the binomials will be the same.
What are prime polynomials?Those polynomials with integer coefficients that cannot be factored further, with factors of lower degree and integer coefficients are called prime polynomials.
(it is necessary that no factors exists having their coefficients are still integers and they're of lower degree)
The polynomial that Omar is dealing with is:
[tex]3x^3 - 15x^2 -4x + 20[/tex]
We see that 3 times 5 = 15 and 4 times 5 = 20, so trying in that way:
[tex]3x^3 - 15x^2 -4x + 20 = 3x^2(x-5) + 4(-x + 5)[/tex]
Taking out a negative factor from second term would make the binomials same, after which we can take that common out, as shown below:
[tex]3x^3 - 15x^2 -4x + 20 = 3x^2(x-5) + 4(-x + 5) \\3x^3 - 15x^2 -4x + 20 = 3x^2(x-5) -4(x-5) \\3x^3 - 15x^2 -4x + 20 = (x-5)(3x^2-4)[/tex]
It successfully got factored, thus not a polynomial.
Thus,the step that Omar should proceed with is given by: Option D: Omar should factor out a negative from one of the groups so the binomials will be the same.
Learn more about prime polynomials here:
https://brainly.com/question/10717989
Answer: Omar should factor out a negative from one of the groups so the binomials will be the same.
Step-by-step explanation: Answer on edge
100 POINTS!!!
What is the square root of -2?
Answer:
± i [tex]\sqrt{2}[/tex]
Step-by-step explanation:
Using the result that [tex]\sqrt{-1}[/tex] = i
[tex]\sqrt{-2}[/tex]
= ± [tex]\sqrt{2(-1)}[/tex]
= ± [tex]\sqrt{2}[/tex] × [tex]\sqrt{-1}[/tex]
= ± [tex]\sqrt{2}[/tex] × i
= ± i [tex]\sqrt{2}[/tex]
Work out area of the triangle and give answer to 1.dp
Answer:
A ≈ 62.8 cm²
Step-by-step explanation:
the area (A) of the triangle is calculated as
A = [tex]\frac{1}{2}[/tex] ab sinC
where a = 10, b = 13 and C = 105° , then
A = [tex]\frac{1}{2}[/tex] × 10 × 13 × sin105° = 65 × sin105° ≈ 62.8 cm² ( to 1 dec. place )
3.2, 3 ⅔, 3.25, 3 ½ greatest to least
Answer:
3.2, 3.25, 3 1/2, 3 2/3
Step-by-step explanation:
You can put them on a number line and find out the order. Or, convert to decimals or fractions.
Ariel spends $330 on 3 gold rings. The rings all cost the same amount. What is the cost of each ring?
Answer:
$110
Step-by-step explanation:
divide 330 by 3
$115 i think..........................
Is the open sentence 3z = 2z + 5 true or false when z = 5?
Answer:
Your answer to your question is FALSE!!!!!!
Answer:
True
Step-by-step explanation:
Plug the value of z in: 3(5) = 2(5) + 5Simplify: 15 = 10 + 510 + 5 = 15So, the open sentence is true.I hope this helps!
what expression is equivalent to 3 (m -3) + 4
Answer:
You didn't add any options but here is a couple that could work.
3m - 9 + 4
3m - 5
Hope that helps and have a great day!
5x-6=3
find the value for x
Answer:
x = 9/5 = 1 4/5
Step-by-step explanation:
5x - 6 = 3
+6 +6
(add positive 6 to the negative 6 = - 6 + 6 = 0, and to the answer = 3 = 3 + 6 = 9)
5x = 9
÷5 ÷5
x = 9/5 (improper fraction)
= 1 4/5 (mixed numeral)
Hello.
First, let's add 6 to both sides:
[tex]\tt{5x-6+6=3+6}[/tex]
[tex]\tt{5x=9}[/tex]
The next step is to divide both sides by 5:
[tex]\tt{x=\displaystyle\frac{9}{5}[/tex] (Improper fraction)
[tex]\tt{x=\displaystyle1\frac{4}{5}[/tex] (Mixed number)
I hope it helps.
Have a great day.
[tex]\boxed{imperturbability}[/tex]
Simplify the expression
a/3+3a/4
Answer:
[tex]\frac{13}{12}a\\[/tex]
Step-by-step explanation:
[tex]\frac{a}{3} + \frac{3a}{4}= \frac{13}{12}a[/tex]
Answer:
the answer is 13a/12 simplified