1. Translate the variable expression into a word phrase: 4b – 2
Translate the word phrase into a variable expression:
2. the sum of 16 and 4 times a number
3. Write an equation for the following word problem. Use b for the number of boys and g for the number of girls.
There are eight fewer boys than girls in Mrs. Davis' class. How many boys are in the class?
4. Will the standard form 3.2 × 10–4 be more or less than 1? Explain what effect the negative exponent has.
5.Use a five-step plan to solve the following word problem. Show all five steps in your response:
Doug is twice Anne's age. Doug is 34 years old. How old is Anne?
Answer:
1) The difference between four times the number b and 2.
2) 16 + 4*x
3) if there are 8 fewer boys than girls in the class, then g - b = 8, so the number of boys is: b = g - 8
4) 3.2*[tex]10^{-4}[/tex] is less than 1 because of the negative exponent, the expression is equivalent to 3.2/10000 = 0.00032 < 1
5) Ok, Dough is twice Anne's age. so if D is Dough's age, and A is Anne's age:
D = 2*A
and D = 34
then 34 = 2*A
if we divide both sides by 2, we get
34/2 = 2*A/2
17 = A
Anne is 17 years old.
Find the area 34 1/2 and 36 1/2
2 to the power of 14
you can buy 5 cans for green beans at the village market for $3.60. You can buy 10 of the same cans of beans at Sam's club for $6.90. Which place is better buy?
Final answer:
To find the better buy for cans of green beans, calculate the cost per can at both stores and compare. Sam's Club sells at $0.69 per can which is cheaper than the Village Market's $0.72 per can, hence Sam's Club is the better buy.
Explanation:
To determine which place offers a better buy for the cans of green beans, we need to calculate the price per can at both the Village Market and Sam's Club. Then, we can compare the two to see which is cheaper.
At the Village Market, 5 cans cost $3.60. To find the cost per can, divide $3.60 by 5. $3.60 ÷ 5 = $0.72 per can.
At Sam's Club, 10 cans cost $6.90. To find the cost per can, divide $6.90 by 10. $6.90 ÷ 10 = $0.69 per can.
Sam's Club offers a lower price per can than the Village Market, making it the better buy for the cans of green beans.
Can anyone help me find the slope??
Answer:
The slope is -3/4
Explanation:
To find the slope of a line, you can use the "rise over run" method where you count how many units from one point to the next the line increases or decreases along the y-axis and place this number in the numerator of a fraction; then, count how many units to the left or right that same point is along the x-axis and place this number in the denominator. Simplify if necessary and that becomes the slope.
So, assuming each tick on the axes is 1 unit, to get from the leftmost point to the rightmost point, we go down 3 units on the y-axis ("rise" -3 units) and to the right 4 units ("run" 4 units). Therefore, the slope is -3/4
The method I like to use the most because it involves the actual math of finding a slope is plugging plotted points into the slope formula. The slope formula is [tex]\frac{Y2 - Y1}{X2 - X1}[/tex] where two points along the line (X1, Y1) and (X2, Y2) are used.
Again, assuming, each tick is 1 unit, the plotted points on the line in the image are (-2, 2) and (2, -1). Now, we plug these ordered pairs into the formula and solve:
[tex]\frac{Y2 - Y1}{X2 - X1} = \frac{-1 - 2}{2 - (-2)} = \frac{-3}{2 + 2} = \frac{-3}{4}[/tex]
Therefore, the slope is -3/4
Which of the following equations describe the line (-6, 2) (-1, -4)? (Graph below)
A. y - 4 = -5/6(x - 1)
B. y - 2 = -5/6(x + 6)
C. y + 4 = -6/5(x + 1)
D. y + 4 = -5/6(x + 1)
E. y - 2 = -6/5(x + 6)
F. y - 6 = -6/5(x + 2)
Answer: c.
Step-by-step explanation:
Give brainliest answer Nadal invests $5,678 at an annual interest rate of 4.5 percent for 6 years. For which variable can Nadal substitute the value 5,678 in the simple interest formula?i-prt A.I B.p C.r D.t
Answer:
B. p
Step-by-step explanation:
Since, the simple interest is,
[tex]I=p\times r\times t[/tex]
Where, p is the invested or principal amount,
r is the annual rate of interest ( In decimal ),
t is the time ( In years ),
It is given,
$5,678 is invested at an annual interest rate of 4.5 percent for 6 years.
⇒ p = 5678, r = 4.5 % = 0.045 and t = 6,
Hence, he can substitute p for the value 5,678 in the simple interest formula.
how can you compare fractions with the same denominators
A piece of paper is 0.00075 inches thick. How many sheets of paper will be in a stack that is 2.25 inches high
Serena is cycling from a dance class to her home the equation shows Serena’s distance (y) in miles from her home after x minutes
Y=16-6x
What does the number 16 in the equation represent
16 is the original distance her dance class was from home.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Serena is cycling from a dance class to her home the equation shows Serena’s distance (y) in miles from her home after x minutes
Y = 16-6x
The given equation is the equation of the line with a slope of -6 and the y-intercept is 16.
Here, 16 is the original distance her dance class was from home.
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The first four terms of a sequence are shown below 1, 4, 7, 10. Which formula can be used to determine the nth term in the sequence
Final answer:
The nth term of the given arithmetic sequence 1, 4, 7, 10 can be determined using the formula 3n - 2.
Explanation:
The student is trying to find a formula that can be used to determine the nth term of a sequence given its first four terms: 1, 4, 7, 10.
This sequence is arithmetic, meaning each term increases by a constant difference, which in this case is 3.
To find the nth term of an arithmetic sequence, we use the formula an = a1 + (n - 1)d, where an is the nth term, a1 is the first term, n is the term number, and d is the common difference between the terms. For this sequence:
a1 is 1 (the first term of the sequence)d is 3 (the difference between successive terms)Substituting these values into the formula, we get:
an = 1 + (n - 1)×3
Therefore, the nth term an can be simplified to 3n - 2. So, the formula 3n - 2 can be used to determine the nth term in the sequence.
Sandy is organizing her bedroom she found 6 jar filled with pennies if each gar has 4,560 pennies how many pennies does sandy have in all?
If each jar is full of 4,560 pennies, then the answer is 27,360 pennies in all.
4560*6=27360
Hope this helps.
Answer:
sandy has 4566
Step-by-step explanation:
use the distributive property to write the following expression in an equivalent form:6× (10+25)
sneakers are normally $89.99 but are discounted to $56.49. what percent of the original does raymond pay?
A company earned $675 power washing driveways. They charged $45 to power wash each driveway. How many driveways did they power wash? A:10 B:11 C:14 D:15
My question is up above
If prices increase at a monthly rate of 1.2%, by what percentage do they increase in a year?
Final answer:
To calculate the annual increase from a monthly rate of 1.2%, use the compound interest formula to calculate the compounding effect over 12 months, resulting in an annual increase of approximately 15.47%.
Explanation:
The question asks about the annual percentage increase if prices increase at a monthly rate of 1.2%. The calculation involves compounding the monthly increase over the course of a year. To find the total percentage increase for the year, the formula for compound interest can be used, which is [tex](1 + r)^n[/tex], where r is the monthly increase rate, and n is the number of periods (months in a year).
Steps to Calculate Annual Increase:
Convert the monthly percentage increase to a decimal by dividing by 100: 1.2% / 100 = 0.012.
Add 1 to the monthly rate: 1 + 0.012 = 1.012.
Raise this sum to the power of 12, since there are 12 months in a year: [tex]1.012^{12[/tex].
Subtract 1 from the result to find the annual increase rate in decimal form.
Multiply by 100 to convert back to a percentage.
When we do the math, it turns out the prices increase by approximately 15.47% over the course of a year, when compounded monthly at a rate of 1.2%.
Prices increase by 1.447% in a year when the monthly increase is 1.2%.
Explanation:To calculate the percentage increase in a year, we need to calculate the total increase over 12 months. Since prices increase at a rate of 1.2% per month, we can calculate the total increase over 12 months as follows:
1.012 x 1.012 x ... x 1.012 (12 times) = 1.01447
The total increase is 1.01447, which is equivalent to a 1.447% increase over the course of a year.
3. A recipe calls for 1 1/2 cups of flour, 3/4 a cup of white sugar, and 1/8 a cup of brown sugar. (a) How many total cups of ingredients are there? Show your work using a number line. (b) Which of the following mixing bowls can you use to make the recipe: 2-cup, 3-cup, or 4-cup?
Answer:
a) 19/8
b) 3 cup since it's 2.4
D=2730 mi t=9.75 h find r
The student can find the rate by using the formula r = D/t, which yields approximately 280 miles per hour when substituting the provided values.
Explanation:The student is provided with distance (D) and time (t) and needs to find the rate (r). This is a typical problem that can be solved using the fundamental relationship between these variables, which is expressed by the equation D = r*t. To find r, we can rearrange this equation to get r = D/t.
Substituting the provided values into the formula gives r = 2730 mi/9.75 h = 280 mi/h approximately. Therefore, the rate or speed of the journey is 280 miles per hour.
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is 3.02859 is a rational number
Simplify this equation for me please, thanks :D
7/8m + 9/10 - 2m - 3/5
A healthy human heart beats about 1,533,000 times in a year. A sparrow's heart beats about 241,776,000 times in a year. About how many times faster does the sparrow's heartbeat compared to the human heart?
A. 2×1082×106=1×102or about 100 times faster
B. 2×1092×106=1×103or about 1,000 times faster
C. 2×1082×105=1×103or about 1,000 times faster
D. 2×1092×105=1×104or about 10,000 times faster
Answer:A
Step-by-step explanation: if you count the places, it’s 10 to the 8th power and 10 to the 6th power so that makes it A
The sparrow's heart beats approximately 158 times faster than a human heart. None of the options provided (A, B, C, or D) match this calculation.
Explanation:To find how many times faster the sparrow's heartbeat is compared to the human heart, you divide the number of times the sparrow's heart beats by the number of times a human heart beats. Thus, you would perform 241,776,000 ÷ 1,533,000. The result of this division is approximately 157.7, which means that the sparrow's heart beats about 158 times faster than a human heart.
None of the options provided in the question (A, B, C, or D) match this result, indicating there may be a mistake. Always remember, the correct way to compare in such circumstances is to do division, and not multiplication or addition.
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Compare 9.75, 9.7, 9.675
A decimal is a number that consists of a whole and a fractional part.
Comparing the given decimal values from smallest to greatest we get,
9.675 < 9.700 < 9.750
What is a decimal number?A decimal is a number that consists of a whole and a fractional part.
It lies between integers and represents numerical value for quantities that are whole plus some part of a whole.
We have,
9.75, 9.7, 9.675
We can write from smallest to greatest values.
We can make the given decimal values in tenths, hundredths, and thousandths place values.
Let's write all the given decimal numbers till the thousandth place value as:
9.75 can be written as 9.750
9.7 can be written as 9.700
9.675 is already in the thousandth place value.
Comparing from smallest to greatest we have,
9.675 < 9.700 < 9.750
Thus,
Comparing the given decimal values from smallest to greatest we get,
9.675 < 9.700 < 9.750
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a computer repairman charges an initial fee of $100 plus an hourly fee of $75.
Mr. Billings paid the repairman $475. How many hours did the repairman work?
Answer:
The repairman worked 5hours
Step-by-step explanation:
Initial fee = $100
Charge per hour = $75
This simply implies that the repairman charges $100 and charge 75 for every hour worked.
Initial fee = $100
Charge per hour = $75
To find the hours work when his total work fee is 475, we should understand that,
Total work fee = initial fee + total charges
Total charges = charge per hour * hour worked.
Total work fee = initial free + (charge per hour * hour worked.)
475 = 100 + 75*h
Collect like terms
75h = 475 - 100
75h = 375
Divide both side by 75 .
75h/75 = 375/75
h = 5.
Since h represent hour work by the repairman.
The repairman worked 5hours
Please show work!!!!!!!
Ilya and Dan shared 360 hats in the ratio 7:5. How many more hats did Ilya have than Dan?
write a system of equations that has (2,7.5) as its solution
Multiply:
453
x 1.1
-------
A) 49.83
B) 56.43
C) 498.3
D) 564.3
What two fractions are equivalent to 24/84
each bag of pattern blocks contains 50 block. to make a class pattern, the teacher combines 4 bags of blocks. how many pattern blocks are there?
Which is a simplified form of the expression -(z + 1) + 2(z – 2)?
A. -z – 5
B. 3z – 3
C. z – 5
D. 2z – 5
I honestly need help tho.
Answer:
The answer is C
Step-by-step explanation: