This is distributive property and to do distributive property, you distribute what is outside of the parenthesis to the numbers inside the parenthesis.
How-to-do:
2(8x-7)
2(8x) - 2(7)
16x-14
if you mean to simplify :
2(8x−7)
=(2)(8x+−7)
=(2)(8x)+(2)(−7)
=16x−14
to the nearest whole degree what angle measure has a tangent of 5.6922
Answer:
80° has a tangent of 5.6922..Step-by-step explanation:
We are given value of tangent trigonometric ratio = 5.6922.
We need to find the angle in degrees whose measure has a tangent of 5.6922..
So, we need to find the value of [tex]tan^{-1}(5.6922)[/tex].
On plugging [tex]tan^{-1}(5.6922)[/tex]in calculator, we get
80.03°.
Now, we need to round it to the nearest whole degree.
Therefore, 80.03°≈ 80°.
Therefore, 80° has a tangent of 5.6922..Select the two figures that are similar to the 5 by 10 figure that is shown
Answer:
Figure (i) and (iv)
Step-by-step explanation:
We need to find two figures that are similar to the 5 by 10 figure.
that is we need to find the figure that is similar to 5 X 10 figure.
Observe that in a figure m X n, the letter m represent the number of rows and the letter n represents the number of columns.
Observe that in the given figure 5 by 10, the number of rows is 5 and number of columns is 10, that is, the number of columns is double of that the number of rows.
so we need to find two such figures whose number of columns is double of the number of rows.
from the given figures, we can see that in the figure (i) the number of rows is 2 and number of columns is 4, which is double of number of rows. so it is similar to 5 by 10 figure.
And the figure in (iv), the number of rows is 4 and number of columns is 8. so here since the number of columns is double the number of rows, so it is similar to the figure 5 by 10.
Thus the two figures that are similar to 5 by 10 figure are given in (i) and (iv).
The two figures that share a similarity with the 5 by 10 figure based on the doubling relationship between columns and rows are represented by options (i) and (iv).
In the provided 5 by 10 figure, it's evident that the number of columns is twice the number of rows.
Therefore, our goal is to identify two other figures with the same relationship.
Upon examination of the given options, we can see that in figure (i), there are 2 rows and 4 columns, which maintains the same doubling relationship between columns and rows as the 5 by 10 figure.
Thus, figure (i) is similar to the 5 by 10 figure.
Similarly, in figure (iv), there are 4 rows and 8 columns, and this also maintains the doubling relationship between columns and rows. Therefore, figure (iv) is another figure similar to the 5 by 10 figure.
In summary, the two figures that share a similarity with the 5 by 10 figure based on the doubling relationship between columns and rows are represented by options (i) and (iv).
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The ratio of blueberry bagels to all bagels is 1:4. Does this ratio represent a part to part or part to whole ratio
Answer:
Part to whole ratio
Step-by-step explanation:
The 1 represents the blueberry bagels. This is just a part of the entire variety that is offered, so this is a part.
The 4 represents all of the bagels. It is the whole amount, which makes this the whole.
This means it is a part to whole ratio.
What is the cheapest way to go to a ball game if the admissions options are as shown? A) $10 for a single B) $15 for a couple C) $20 for a triple D) $35 for a group of four E) $50 for a group of five
Answer: C
Step-by-step explanation: A = 10 for one person. B = 7.5 for one person. C = 6.67 for one person. D = 8.75 for one person. E = 10 for one person.
Out of all of these, C is the cheapest.
The vertical axis is called the x-axis and the horizontal axis is called the y-axis. The entire plane containing these is called the xy-plane
TRUE OR FALSE
a-5/a divided by 4/a
Answer:
[tex]\frac{a-5}{4}[/tex]
Step-by-step explanation:
the given equation is
[tex]\frac{a-5}{a} /\frac{4}{a}[/tex]
from the multiplication rules we know that
[tex]\frac{a}{b}/\frac{c}{d}=\frac{a}{b}*\frac{d}{c}[/tex]
so for the given equation changing the sidn of division to multiplication
the equation becomes
[tex]\frac{a-5}{a} * \frac{a}{4}[/tex]
a cancels out from both numerator and denominator
so it becomes
[tex]\frac{a-5}{4}[/tex]
which is the answer
find the sum 4/20 + 7/8
Answer:
1 3/40
Step-by-step explanation:
4/20 + 7/8
We can simplify 4/20 by dividing the top and bottom by 4
1/5 + 7/8
We need to get a common denominator of 50
1/5 * 8/8 = 8/40
7/8 * 5/5 = 35/40
8/40 + 35/40
43/40
Changing this to a mixed number
1 3/40
Answer:
1 3/40
Step-by-step explanation:
Find the equation that represents a line that passes through the point (7,-5) and has slope -4/7
Answer:
The equation would be y = -4/7x - 1
Step-by-step explanation:
Given that we have the slope and the point, we can solve for the equation using point-slope form.
y - y1 = m(x - x1)
y + 5 = -4/7(x - 7)
y + 5 = -4/7x + 4
y = -4/7x - 1
The equation that represents a line that passes through the point (7,-5) and has a slope of -4/7 is,
⇒ 7y = - 4x - 7
The equation of a line in point-slope form passing through the point
(x₁ , y₁) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Given that,
The equation of line passes through the point (7,-5) and has a slope of -4/7.
Here we have,
[tex](x_1 , y_1) = (7, - 5)[/tex]
And, [tex]m = \frac{- 4}{7}[/tex]
Substitute the given values in the above equation,
[tex]y - y_1 = m (x - x_1)[/tex]
[tex]y - (- 5) = \frac{-4}{7} (x - 7)[/tex]
[tex]y + 5 = \frac{-4}{7} (x - 7)[/tex]
Multiply by 7 on both sides,
[tex]7 (y + 5) = - 4 (x - 7)\\7y + 35 = - 4x + 28\\ 7y =- 4x 28 - 35\\ 7y = - 4x- 7\\[/tex]
So, the equation of a line is,
7y = - 4x - 7
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Which sign makes the statement true 17/20 ? -11.95
To make the statement '17/20 ? -11.95' true, the correct symbol to use is '>'. We find this by comparing the result of 17 divided by 20 (which is 0.85) with -11.95.
Explanation:The question is asking us to find the correct sign (either less than '<', equal '=', or greater than '>') to make the mathematical statement '17/20 ? -11.95' true.
To solve this, we first need to divide 17 by 20 to get 0.85. Then, we compare this result with -11.95.
Since 0.85 is greater than -11.95, we use the '>' symbol. Thus, the statement '17/20 > -11.95' is true.
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write the following inequality in slope-intercept form. 5x-5y≥70
To rewrite the inequality 5x - 5y ≥ 70 in slope-intercept form, we solve for y by subtracting 5x from both sides and then dividing by -5, resulting in y ≤ x - 14, with a slope of 1 and a y-intercept of -14.
Explanation:The question is asking to rewrite the inequality 5x - 5y ≥ 70 in slope-intercept form. The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. To convert the given inequality into this form, we need to solve for y.
Steps to rewrite the inequality in slope-intercept form:
Subtract 5x from both sides of the inequality: -5y ≥ -5x + 70Divide every term by -5 to solve for y: y ≤ x - 14. Note that when dividing by a negative, the inequality symbol reverses its direction.The inequality in slope-intercept form is y ≤ x - 14. The slope is 1 and the y-intercept is -14.
estimate 782 divided by 50
Answer: about 15.72
Step-by-step explanation: i used a calculator
What is the equation of the line?? Please help!!
The point-slope form of a line:
[tex]y-y_1=m(x-x_1)[/tex]
We have the slope m = -4 and the point (8, -7). Substitute:
[tex]y-(-7)=-4(x-8)[/tex] use distributive property
[tex]y+7=-4x+32[/tex] subtract 7 from both sides
[tex]y=-4x+25[/tex] add 4x to both sides
[tex]\boxed{4x+y=25}[/tex]
can you simplify this expression -2b - 6 + 3b -2
Answer: b - 8 is what i believe the answer is make sure tho im only in 6 th grade Step-by-step explanation:
You are working as a locksmith. Of the 50 customers you had today, 15 of them needed a new key for their car. What percentage of today’s customers needed a new key for their car?
How do i figure this out ??
A.0.030%
B.0.3%
C.3%
D.30%
E.300%
The ordered pairs model an exponential decay function.
{(−1,30), (0,21), (1,14.7), (2,10.29)}
What is the function equation?
Enter your answer in the box.
f(x)=
Answer to your question:
f(x)= 12x
Answer:
f(x)=12 Hope this helps you!
Change each improper fraction into an equal mixed number.
a. 15⁄4
b. 41⁄9
c. 67⁄8
d. 135⁄11
e. 107⁄20
f. 493⁄17
A.) 3 3/4
B.) 4 5/9
C.) 8. 375 - I couldn't solve this one
D.) 12 3/11
E.) 5 7/20
F.) 29
Write the expression (4x-6) x 6(2x+7)
Answer:
48x² + 96x - 252
Step-by-step explanation:
(4x - 6) × 6(2x + 7) Reorder the factors
= 6(4x – 6)(2x+ 7) Multiply the binomials
= 6(8x² + 16x - 42) Remove parentheses
= 48x² + 96x - 252
Last Saturday, Kevin walked his dog 1 2/7 miles. Sam walked his dog 7 times as far. How many miles total did both guys walk their dogs?
Answer:
[tex]10\dfrac{2}{7}\ miles[/tex]
Step-by-step explanation:
If Kevin walked his dog 1 2/7 miles and Sam walked his dog 7 times as far, then Sam walked his dog
[tex]1\dfrac{2}{7}\cdot 7=\dfrac{1\cdot 7+2}{7}\cdot 7=\dfrac{9}{7}\cdot \dfrac{7}{1}=9\ miles.[/tex]
Together they walked
[tex]1\dfrac{2}{7}+9=10\dfrac{2}{7}\ miles.[/tex]
list the angles of the triangle in order from smallest to largest
Answer:
correct choice is C
Step-by-step explanation:
Triangle KLM has three known lengths of sides:
KL=4.1 units;LM=6.4 units;MK=3.2 units.The greatest angle is opposite to the greatest side. The greatest side is LM, then the greatest angle is angle K. The smallest angle is opposite to the smallest side. The smallest side is MK, then the smallest angle is angle L.
Therefore, the list the angles of the triangle in order from smallest to largest is ∠L, ∠M, ∠K.
Based on the angle and side relationship of the triangle given, the angles of the triangle from smallest to the largest would be: C. ∠L, ∠M, ∠K
Triangle Angles and Sides RelationshipThe longest side of a triangle is opposite the biggest angle measure.The shortest side of a triangle is opposite the smallest angle measure in a triangle.Thus, based on the angle and side relationship of the triangle given, the angles of the triangle from smallest to the largest would be: C. ∠L, ∠M, ∠K
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if you have 10 cookies and you want to give 1/2 of them to a friend. How many do you give to your friend
Answer: You would give your friend 5 cookies
Step-by-step explanation:
One half of the cookies, is basically saying divided by two. 10 divided by 2 is 5. To check that answer, multiply 5 by 2, and you will get 10
Evaluate − a + ( − b ) −a+(−b) where a = 6 . 0 5 a=6.05 and b = 3 . 6 1 1 b=3.611.
Answer:
-19.322
Step-by-step explanation:
− a + ( − b ) −a+(−b)
First step is to combine like terms
-a -a + -b + -b
-2a -2b
We know a = 6.05 and b = 3.611
-2 (6.05) -2(3.611)
-12.1 - 7.222
-19.322
Answer:
Step-by-step explanation:-9.661
The area of a triangle is twice the area of a square. If the base of the triangle and a side of the square are equal, what is the ratio of the height of the triangle to the side of the square?
Answer:
1:1
Step-by-step explanation:
If you're square is a true square, than the height and base will be the same. If one is larger than the other, it's a rectangle.
If you slice a square diagonally, you still have the original height of the square.
Final answer:
To find the ratio of the triangle's height to the square's side, set the area of the triangle (1/2 × base × height) to be twice that of the square (side²). Simplify by equating base to side as they are the same length and solve for the height. The resulting ratio of the height of the triangle to the side of the square is 4:1.
Explanation:
The question involves finding the ratio of the height of a triangle to the side of a square where the area of the triangle is twice that of the square, and they have one side in common. The area of a square is given by side² (s²), and the area of a triangle is given by 1/2 × base × height (1/2 × b × h). To solve this, we set the triangle's area to be twice the square's area: 1/2 × b × h = 2 × s². Since the base of the triangle (b) is equal to the side of the square (s), they can be represented by the same variable. Hence, the equation simplifies to 1/2 × s × h = 2 × s². Canceling s from both sides leaves us with h = 4 × s. Therefore, the ratio of the height of the triangle to the side of the square is 4:1.
Please help please help
Answer:
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Step-by-step explanation:
Samuel has 2 1/4 cups of flour. She uses 1/3 of the flour to make pancakes. How many cups of flour did he use? Please try to explain this to me the best you can
Answer:
Samuel uses 1 11/12 cups of flour.
Step-by-step explanation:
Okay, this is assuming he uses the rest of the flour she didn't use.
The first step would be to find the Greatest Common Factor(GCF) of the fractions
2 1/4 and 1/3 have different denominators, but they both can divide into 12.
1/4 * 3/3 = 3/12
1/3 * 4/4 = 4/12
Now we can also convert 2 3/12 into an improper fraction to make it easier
2* 12/12 = 24/12
24/12+ 3/12 = 27/12
Here's the part were we subtract the two numbers.
27/12- 4/12 = 23/12
The last step is to simplify the fraction
23/12 = 1 11/12 cups
What is 575 written as a mixed number
The 575 written as a mixed number is A. 5 3/4 . Therefore , A. 5 3/4 is correct .
You have correctly outlined the steps to convert 575% to a mixed number. Let me summarize the process:
Convert the Percentage to a Decimal:
Divide the percentage by 100 to convert it to a decimal:
[tex]\frac{575}{100}[/tex]% = 5.75.
Separate the Whole Number and Decimal Part:
Separate the whole number part from the decimal part:
5.75=5+0.75.
Convert the Decimal to a Fraction:
Convert the decimal part to a fraction with a denominator of 100:
0.75× [tex]\frac{100}{100}[/tex] = [tex]\frac{75}{100}[/tex] .
Combine the Whole Number and Fraction:
Combine the whole number and the fraction into a mixed number:
5 + [tex]\frac{75}{100}[/tex] =5 [tex]\frac{3}{4}[/tex] .
Therefore, 575% written as a mixed number is 5 [tex]\frac{3}{4}[/tex] .
This means there are 5 whole units and [tex]\frac{3}{4}[/tex]of an additional unit in the given percentage.
It's a clear and accurate way to represent a percentage as a mixed number.
Can anyone walk me through this?
Assuming that we are solving in terms of n.
Start by distributing:
2(n + 5)
(2*n) + (5*2)
2n + 10 = -2
Subtract 10 to start toward isolating your variable:
2n = -12
Divide by two to finish solving:
n = -6
Answer:
n=-6
Step-by-step explanation:
2(n+5)=-2
distribute the 2 to the numbers in the parentheses:
2n+10=-2
Get the n factor alone, subtract 10 from both sides:
2n=-12
Now you just want the n alone so you are going to use the inverse operation on 2n to both sides: 2n/2=-12/2
n=-6
If you need any other help i would be glad to assist.
What is Perimeter of triangle ABC?
ΔABC and ΔFEG are congruent. Therefore we have the equation:
7x - 19 = 2x + 11 add 19 to both sides
7x = 2x + 30 subtract 2x from both sides
5x = 30 divide both sides by 5
x = 6
AB = 24
AC = 2x + 11 → AC = 2(6) + 11 = 12 + 11 = 23
BC = 6x - 8 → BC = 6(6) - 8 = 36 - 8 = 28
The perimeter of ΔABC = 24 + 23 + 28 = 75
Answer: 75 feetwhat is 3300 rpm in mph
What is the volume of a pyramid with base of 11cm and a hight of 12cm?
Answer:
The answer would be 484
Step-by-step explanation:
Step 1: Multiply the length, width, and height.
11x11x12=1452
Step 2: Divide by 3
1452/3=484
0.424 round each number to the place of the underlined digit. The underline number is 2.
Answer:
.42
Step-by-step explanation:
Since we are rounding to the 2, we will look at the digit after it
4 < 5 so we leave the 2 alone
.424 is rounded to .42
Answer:
0.42 is your answer
Step-by-step explanation:
The underlined number is 2. Look at the place value to the right. It is a 4. Because 4 is less than 5, round down.
0.424 rounded to the nearest hundredth place is 0.42
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