Answer:
12:8
Step-by-step explanation:
The ratio of biographies to histories is 1.5, or more simply as a whole number ratio, 3:2. This means that for every 3 biographies, there are 2 history books.
Explanation:The question wants us to calculate the ratio of the number of biographies to the number of histories in the book display. To do this, simply divide the number of biographies by the number of histories. The problem provides the number of biographies as 12 and the number of histories as 8. Thus, the ratio is: 12 (biographies) / 8 (histories) = 1.5.
In other words, for every 1.5 biographies, there is 1 history book on the display. However, since ratios are commonly expressed as whole numbers, we can multiply both sides by 2 to get the ratio as 3:2, meaning for every 3 biographies, there are 2 history books. This provides a cleaner and more interpretable ratio.
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- 7(2-1) = 28
The solution is?
Answer:
Is there a x somewhere or is that litteraly how the equation is?
If so, -7 multiplied by 2 is -14,
-1 times -7 is 7,
add it together and you get
-7=28,
you could add 7 to both sides or subtract 28 from both sides and you'll get either 0=35 or -35=0
which would make the solution false since both sides are not the same
Enter the terms and coeffidents -80+8p-2z
Step-by-step explanation:
Look at the picture
-80 + 8p - 2z
Terms: -80, 8p, -2z
Coefficients: -80, 8, -2
(Picture Included) Can someone help me on 5?
Answer:
43
Step-by-step explanation:
is √10 rational or irrational
√10 is irrational because a rational number is a number that is a/b where a and b are integers and b is a nonzero number.√10 does not follow this.
If you need a better explanation just as in the comments.
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The sides of a triangle are a + 3 ¼, 2a, and 7 ½ - a. If a = 4 1/8, what is the length of each of the three sides? Also, find the perimeter of the triangle showing steps for your work.
Answer: Side one is 7 3/8
Side two is 8 2/8
Side three is 3 3/8
Perimeter is 19
Step-by-step explanation:
The first side is a+3 1/4
the second side is 2a
The third side is 7 1/2-a
Plug 4 1/8 in for a
First side 4 1/8+3 1/4
Find the common denomnator which is 8
4 1/8+3 2/8
7 3/8
First side is 7 3/8
Second side 2(4 1/8)=4 1/8 +4 1/8= 8 2/8
Third side is 7 1/2-4 1/8
Find the common denominator which is 8
7 4/8-4 1/8= 3 3/8
Third side is 3 3/8
The perimeter is adding all the three sides together
7 3/8+8 2/8+ 3 3/8=18 8/8
Reduce 18 8/8=18 +1=19
Answer:
Perimeter = 19 units
Step-by-step explanation:
Given a = 4 1/8
[tex]Side1 = a + 3\frac{1}{4}\\Side2 = 2a\\Side3 = 7\frac{1}{2}-a[/tex]
The next step is substituting the a value in the expressions:
[tex]Side1 = 4\frac{1}{8}+ 3\frac{1}{4}\\Side2 = 2*(4\frac{1}{8})\\Side3 = 7\frac{1}{2}-4\frac{1}{8}[/tex]
Then, fractions with different denominators must be converted to the same denominator. Also, the multiplication of a whole number by a mixed number can be done by using distributive law:
[tex]Side1 = 4\frac{1}{8}+ 3\frac{2}{8}\\Side2 = 8\frac{2}{8}\\Side3 = 7\frac{4}{8}-4\frac{1}{8}[/tex]
[tex]Side1 = 7\frac{3}{8}\\Side2 = 8\frac{1}{4}\\Side3 = 3\frac{3}{8}[/tex]
Now, the perimeter is the sum of all the sides. Therefore, the perimeter is:
[tex]Perimeter = 7\frac{3}{8} + 8\frac{1}{4} + 3\frac{3}{8}[/tex]
Which is 19 units.
The price of an item has been reduced by 60%. The original price was $55. What is the price of the item now?
Answer:
Step-by-step explanation:
55*.60=$33
SO, 55-33=22THE ITEM IS $22 NOW
Which is bigger 0.999 or 1.0?
Answer:1.0
Step-by-step explanation: 0.999 repeating is not a whole number like 1.0
Answer:
1.0
Step-by-step explanation:
Look at where the numbers are placed, in regards to the decimal point.
If a number is 1 place before a decimal point (For example 5.0) it is in the ones place.
If a number is 1 place after a decimal point (For example 0.1) It is in the tenths place.
Any numbers that are to the right the decimal are smaller than numbers to the left!
Represent the geometric series using the explicit formula.
12, −36, 108, −324, …
f(n) = f(n − 1) ⋅ (−3)
f(n) = f(n − 1) ⋅ (3)
f(n) = 12 ⋅ (−3)(n−1)
f(n) = 12 ⋅ (3)(n−1)
The explicit formula for the geometric sequence 12, -36, 108, -324, ... is f(n) = 12 * (-3)^(n-1), where 'n' is the term number.
Explanation:The series provided is a geometric series. In a geometric series, each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio, denoted by 'r'. In our given series 12, -36, 108, -324, ..., you can determine that the common ratio (r) is -3. Now, using the formula for a geometric sequence given by f(n) = a * r^(n-1), where 'a' is the first term (12 in this case) and 'n' is the term number, we can write the explicit formula as
f(n) = 12 * (-3)^(n-1).
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The geometric series is represented by the explicit formula f(n) = 12 * (-3)^(n-1)
Explanation:The given sequence is an example of a geometric progression where each term is found by multiplying the previous term by a constant ratio. In this case, the common ratio is -3.
The explicit formula for a geometric series is given by f(n) = a * r^(n-1), where 'a' is the first term and 'r' is the common ratio. In this sequence, the first term (a) is 12 and the common ratio (r) is -3.
Plugging in the values into the formula, we can write the explicit formula for this geometric series as f(n) = 12 * (-3)^(n-1).
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Use the properties of exponents to complete the equivalent expression.
Answer:
15
Step-by-step explanation:
We can multiply powers with the same base
x^4⋅x^2=(x⋅x⋅x⋅x)⋅(x⋅x)=x^6
Properties of exponents are rules used to simplify mathematical expressions involving exponents. Examples are Power of a Power which means adding exponents when multiplying two expressions with the same base, and Quotient of Powers which is subtracting exponents when dividing two expressions with the same base.
Explanation:The question is about the properties of exponents. In mathematics, the properties of exponents refer to the rules that guide how expressions involving exponents are handled. For example, when you multiply two expressions with the same base, you add the exponents (also known as the Power of a Power property). So, an exponent like x^3 * x^2 simplifies to x^(3+2) = x^5.
Another example is the quotient of powers property, where you subtract the exponents when dividing two expressions with the same base. So, an expression like x^5 / x^3 simplifies to x^(5-3) = x^2.
These are just a couple of the basic properties of exponents. Other properties include the power of a product, the power of a quotient, zero exponent, and negative exponent. Each of these properties follows specific rules to simplify the expression involving exponents.
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Your bank account balance is −$20.85. You deposit $15.50. What is your new balance?
Your new balance=$-5.35
Answer:
[tex]-5.35[/tex] [tex]dollars[/tex]
Step-by-step explanation:
Currently, your bank account balance is [tex]-20.85[/tex] [tex]dollars[/tex]
You then [tex]deposited^{1}[/tex] [tex]15.50[/tex] [tex]dollars[/tex]
This means:
That you added $15.50 into your bank account balance, so:
-$20.85 + $15.50
==> -5.35
FOOTNOTE:
Deposited - put or set down
the graph of y= -4×+7 is
Answer:
Step-by-step explanation:
The graph of y= -4×+7 is a straight line with slope -4 and y-intercept 7. Please do not use × to represent the independent variable; use x instead. × represents multiplication.
To graph this function, first plot the y-intercept, b, which is (0, 7).
Next, starting with your pencil point at (0, 7), move the point 1 unit to the right and plot another point (which will be (1, 7) ). Now move your pencil point 4 units down and plot your third point, which will be (1, 3).
Finally, draw a straight line thru the first and third points, that is, thru (0, 7) and (1, 3). Notice how this line has the slope -4 and the y-intercept (0, 7).
Definiton of numerator?
The numerator is the number above a fraction bar. It indicates how many parts of the whole.
Answer: the part of a fraction that represents how many equal parts are being counted
Step-by-step explanation:
For example
1/6 the one is a numerator
Your bank offers the Bradys a 30-year mortgage with a rate of 5%. At that rate, the monthly payments for principal and interest on the loan will be $5.37 for every $1,000 financed.
Answer:
Your answer would be 30a - year
Hope this helped. Please mark brainliest if this helped.
Monthly payment is the principal and interest payment for each year for $1000 financed. he payment of the mortgage is $4639.75
Given information-The period for which the mortgage offered is 30 years.
The rate for which the mortgage offered is 5 percent.
The interest on the loan is $5.37 for every $1000 financed.
Monthly paymentMonthly payment is the principal and interest payment for each year for $1000 financed.
He has to pay for 30 years. As there is 12 month in one year. Therefore the total months in 30 years,
[tex]n=30\times12\\ n=360[/tex]
Thus the value of n is 360.
The formula for the principal amount can be given as,
[tex]P=a\times\dfrac{r}{n} [/tex]
Put the values
[tex]5.37=a\times \dfrac{0.41667}{360} \\ [/tex]
Solving it for the a
[tex]a=4639.75[/tex]
Thus the payment of the mortgage is $4639.75.
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What time is 5 1/4 hours after 7:00 p.m.
Answer:
9 or 10
Step-by-step explanation:
because you add the hours
what is the value of x?
AC= 32
15 - 2(3 - 2x) = 46
Answer:
x=33
Step-by-step
subtract 15 and 2 you get 13
13 times 3 =39
subtract 39 with 39 and 46 with 39
at the end you will get -26x=7
reverse negative into positive and then add -26 with 26 and you will be left with x and then you add 7 with 26 and your answer is
x=33
which inequality symbols do i use for a-d if can help please comment picture of how number line will look
Answer:
a. <
b. >
c. >
d.<
Step-by-step explanation:
6 1/4 is less than 6 2/3
-3 is greater than -4
-5 is greater than -5.2
-5 is lesson that -4.8
A rectangle is
7 times as long as it is wide. The perimeter is
48 feet. Find the dimensions.
Answer:
21 by 3
Step-by-step explanation:
3x7=21
21+21=42
3+3=6
42+6=48
Given the function f(x)=x2+2x+1, find:
f( 2a−3/5 )
Answer:
[tex]f(2a-\frac{3}{5})=4a^2+\frac{8a}{5}+\frac{4}{25}[/tex]
Step-by-step explanation:
we have
[tex]f(x)=x^{2} +2x+1[/tex]
Find [tex]f(2a-\frac{3}{5})[/tex]
That means -----> substitute the value of [tex]x=(2a-\frac{3}{5})[/tex] in the function and evaluate
[tex]f(2a-\frac{3}{5})=(2a-\frac{3}{5})^{2} +2(2a-\frac{3}{5})+1[/tex]
[tex]f(2a-\frac{3}{5})=(4a^2-\frac{12a}{5}+\frac{9}{25})+(4a-\frac{6}{5})+1[/tex]
[tex]f(2a-\frac{3}{5})=4a^2+\frac{8a}{5}-\frac{21}{25}+1[/tex]
[tex]f(2a-\frac{3}{5})=4a^2+\frac{8a}{5}+\frac{4}{25}[/tex]
In a class of 20 students, 17 of the students
passed a prerequisite skills quiz What percent of
the students passed the quiz?
The correct answer is [tex]\(\frac{17}{20} \times 100\%\)[/tex].
To find the percentage of students who passed the quiz, we need to divide the number of students who passed by the total number of students, and then multiply by 100 to convert the fraction to a percentage.
Given that 17 students passed out of 20, the calculation is as follows:
[tex]\[ \text{Percentage of students who passed} = \left( \frac{\text{Number of students who passed}}{\text{Total number of students}} \right) \times 100\% \][/tex]
[tex]\[ \text{Percentage of students who passed} = \left( \frac{17}{20} \right) \times 100\% \][/tex]
This fraction can be simplified to a decimal or a mixed number if necessary, but it is most accurate and precise in its fractional form as given above. To convert it to a decimal, one would divide 17 by 20 and then multiply by 100, which would yield 85%. Thus, 85% of the students passed the quiz.
1.) Michelle works at Bloomingdale's and earns a 20% commission for her daily sales. Yesterday, Michelle
sold $2,235 worth of merchandise. What was her commission?
Answer:
$447
Step-by-step explanation:
2,235 multiplied by .20
Determine the slope and the y intercept. Y= -2. Then use the slope and the y- intercept to graph the equation
Answer:
y-intercept: [0, -2]; 0 = m
Step-by-step explanation:
Anything set to equal y is what is known as a zero rate of change [slope] because it is a horizontal line.
I am joyous to assist you anytime.
Which mixed number is equvilent to thevimproper fraction 23/6
solve each compound inequality (show your work!)
[tex] - 6 < 2x - 4 < 12[/tex]
[tex]4x \leqslant 12 \: and - 7x \leqslant 21[/tex]
[tex]15x > 30 \: or \: 18x < - 36[/tex]
Answer: -1 < x < 8
x = 3
x ≠ 2
Step-by-step explanation:
Isolate x in the middle. Perform operations to all 3 sides.
-6 < 2x - 4 < 12
+4 +4 +4
-2 < 2x < 16
÷2 ÷2 ÷2
-1 < x < 8
**************************************************************************
Isolate x. Solve each inequality separately. Remember to flip the sign when dividing by a negative.
4x ≤ 12 and -7x ≤ 21
÷4 ÷4 ÷-7 ÷-7
x ≤ 3 and x ≥ 3
Since it is an "and" statement, x is the intersection of both inequalities.
When is x ≤ 3 and ≥ 3? when x = 3
****************************************************************************
Isolate x. Solve each inequality separately.
15x > 30 or 18x < -36
÷15 ÷15 ÷18 ÷18
x > 2 or x < 2
Since it is an "or" statement, x is the union of both inequalities.
When we combine the inequalities, x is every value except 2.
x ≠ 2
Write 10 x 10 x 10 x 10 x 10 x 10 with an exponent. Explain how you decided what exponent to write
10x10x10x10x10x10=1000000
[tex] {10}^{6} [/tex]
means 10x10x10x10x10x10
as it's basically saying 10 is multiplied by itself 6 times which gives you 1000000
The expression 10 × 10 × 10 × 10 × 10 × 10 can be written with an exponent as [tex]10^{6}[/tex]
What is an exponent?In Mathematics and Geometry, an exponent can be represented or modeled by this mathematical expression;
[tex]b^n[/tex]
Where:
the variables b and n are numbers (numerical values), letters, or an algebraic expression.n is known as a superscript or power.Based on the information provided above, we can logically deduce the following expression;
10 × 10 × 10 × 10 × 10 × 10
[tex]10^{1+1+1+1+1+1}=10^{6}[/tex]
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Charmaine will run less than 26 miles this week. So far, she has run 18 miles. What are the possible numbers of additional miles she will run? Use t for the number of additional miles she will run. Write your answer as an inequality solved for t
Answer:
18+t<26
t={1,2,3,4,5,6,7}
Step-by-step explanation:
18+t<26
alright, so you know that she will run less than 26. That means she cannot run 26 or 27 or any more miles than that.
She can run 19, 20, 21, 22, 23, 24, or 25 miles in total from her starting point which is 18.
She already ran 18 miles. If she ran one more it would be 19, if she ran 2 more it could be 20. But she CAN NOT pass 25 miles. (it is not less than OR equal to)
so let me put it like this:
18+1<26 yes because 18+1=19 which is less than 26
18+2<26 yes because 18+2=20 which is less than 26
18+3<26 yes because 18+3=21 which is less than 26
18+4<26 yes because 18+4=22 which is less than 26
18+5<26 yes because 18+5=23 which is less than 26
18+6<26 yes because 18+6=24 which is less than 26
18+7<26 yes because 18+7=25 which is less than 26
18+8<26 NOOO because 18+8=26 which is NOT less than 26 (it's equal, not less than)
I really hoped this help please ask me more ill be happy to help. Also if u understood can I get the brainliest?
Find x- and y-intercepts. Write ordered pairs representing the points where the line crosses the axes. x+y=6
Answer:
x-intercept = 6 → (6, 0)y-intercept = 6 → (0, 6)Step-by-step explanation:
x + y = 6
x-intercept is for y = 0. Substitute:
x + 0 = 6
x = 6
y-intercept is for x = 0. Substitute:
0 + y = 6
y = 6
If f(x) = 3x2 + 1 find f(6).
109
5/3
325
Answer:
The answer is 109.
Do you use the Monarch school program?? Looks just like mine!
write a linear equation in slope -intercept form that passes through the points (-8,4) (1,-5)
[tex]\bf (\stackrel{x_1}{-8}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{-5}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-5}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{1}-\underset{x_1}{(-8)}}}\implies \cfrac{-9}{1+8}\implies \cfrac{-9}{9}\implies -1[/tex]
[tex]\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{4}=\stackrel{m}{-1}[x-\stackrel{x_1}{(-8)}]\implies y-4=-(x+8) \\\\\\ y-4=-x-8\implies y=-x-4[/tex]
What is lcm of 5 , 6 and 7
Answer:
210
Step-by-step explanation:
Since the three numbers have no factors in common, you can get the LCM by multiplying all three numbers.