Answer:
The answer is 25/31 because it equals 56
Final answer:
The smaller number is 25 and the larger number is 31, obtained by setting up an equation with x for the smaller number and x + 6 for the larger one, to represent the described relationship.
Explanation:
To solve the problem, let's denote the smaller number as x and the larger number as x + 6, because the problem states that the larger number is 6 more than the smaller number. The sum of the two numbers is given as 56, so we can set up the following equation:
x + (x + 6) = 56
This simplifies to:
2x + 6 = 56
Subtract 6 from both sides to get:
2x = 50
Now, divide both sides by 2 to find x:
x = 25
Since x is the smaller number, the larger number would be x + 6. Plugging in the value of x, we get:
Larger number = 25 + 6 = 31
Therefore, the smaller number is 25 and the larger number is 31.
Combine like terms to simplify the expression: 9 + 3b − 1 + 7b − 2 =
Answer:
6+10b
Step-by-step explanation:
Use the arithmetic explicit rule
Answer:
First five terms are (5, 7, 9, 11, 13)
Step-by-step explanation:
[tex]a_n = 5+(n-1)2[/tex]
Arithmetic explicit rule is given we need to find first five terms.
Let n be number of terms.
When n = 1,
[tex]a_1= 5+(1-1)2= 5+(0)2=5[/tex]
When n = 2,
[tex]a_2=5+(2-1)2=5+2=7[/tex]
When n = 3,
[tex]a_3=5+(3-1)2=5+4=9[/tex]
When n = 4,
[tex]a_4=5+(4-1)2=5+6=11[/tex]
When n = 5,
[tex]a_5=5+(5-1)2=5+9=13[/tex]
Hence the First five terms are (5, 7, 9, 11, 13)
much would a new iPhone 7 cost if it is $649.00 and there is a 7%
tax rate?
a) $45.43
b) $694.43
C) $649.07
d) $649.43
Answer: A
Step-by-step explanation:
write the equation y-1=7(x+5) in standard form?
Answer:
-7x+y=36
Step-by-step explanation:
y-1=7(x+5)
y-1=7x+35
y=7x+35+1
y=7x+36
36=y-7x
36=-7x+y
-7x+y=36
The equation y - 1 = 7(x + 5) is transformed into the standard form by distributing, rearranging terms, and manipulating to ensure a positive coefficient for x, resulting in 7x - y = -36.
Explanation:To write the equation y - 1 = 7(x + 5) in standard form, we first distribute the 7 to both terms within the parentheses which results in y - 1 = 7x + 35. Then, to ensure both variables are on one side of the equation and the constant is on the other, as required by the standard form, we subtract 7x from both sides. This gives us -7x + y = 36. Normally, standard form is written with the coefficient of x being positive, so to achieve this, we multiply the entire equation by -1, resulting in 7x - y = -36. So, the equation y - 1 = 7(x + 5) in standard form is 7x - y = -36.
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please solve with working thankyou
Answer:
m∠y=72°
Step-by-step explanation:
The question is
Find the measure of angle y
step 1
Find the measure of angle x
see the attached figure to better understand the problem
we know that
m∠x=67° -----> by corresponding angles
step 2
Find the measure of angle y
we know that
(m∠x+m∠y)+42°=180° -----> because form a straight line
substitute the measure of angle x
67°+m∠y+42°=180
m∠y+108°=180
m∠y=180°-108°
m∠y=72°
HELP I REALLY NEED SLMEONER TO DO THIS IS HAVE NO IDEA HOW, please do all and show work or as many questions as u can. WILL MARK BRAINLIEST!!
SHOW WORK
It looks like you are good up to problem 4 so I will start there. I believe this is practice worksheet featuring the pyth. theorem. The pyth. theorem is used to find the length of sides in a right triangle notable the hypotenuse (side opposite of 90 degree angle).
4. The monitor is a rectangle but that does not stop you from constructing a right triangle. The smaller lengths are 16 in and 12 in respectively. The hypotenuse of the triangle is the diagonal of the rectangle. To find the length use the pyth. theorem.
diagonal^2 = 16^2+12^2
diagonal = 20 in
7. You know the speeds of both trains and the time spend traveling. You know they are traveling at a 90 degree angle so you can use pyth. theorem. But wait... you need to find the distances traveled for both trains. You can find that though because speed x time = distance.
50mph x 3hrs = 150mi
40mph x 3hrs = 120mi
The distance between the trains after 3 hours is the hypotenuse which can be determined by pyth. theorem.
distance^2 = 150^2+120^2
distance = 192 mi approx.
8. First find length of one piece of wiring. Use pyth theorem. Actually 3,4,5 pyth. triplet in which 5 is the hypotenuse. So you have 5 ft for the length of one piece of wiring. How many pieces of wiring do you need? Well, each tree needs 3 pieces and there are 6 trees so you need 18 pieces.
18 x 5 = 90 ft of wiring
From the work I see, you have a great understanding of the pyth. theorem. Keep it up!
927 rounded to the hundred
Answer:
900
Step-by-step explanation:
2 rounds it down
Answer:
900
Step-by-step explanation
900←927→1000
927-900=27
1000-900=100
Determine which expression(s) best describes the function, ƒ(x ) = x - 1. Choose all that apply.
1)Given any two coordinates that lie on the graph of the function, the Pythagorean Theorem can be used to determine the midpoint of the function.
2)The function has an x-intercept of (3, 0).
3)The function has a y-intercept of (0, -1).
4)The slope is sometimes consistent for any pair of coordinates that lie on the graph of the function.
5)For a right triangle with a vertical side length of 1 unit and a horizontal side length of 6)3 units, if one point of the hypotenuse of the triangle is on the graph of the function, then so is the other.
Answer:
The function has a y-intercept of (0,-1).
Step-by-step explanation:
The given function is f(x) = x - 1 .......... (1)
Now, we have to choose from the statements given in options that best describe the function.
I think option 3 is the only statement that describes the function well.
Option 3 states that the function has a y-intercept of (0,-1).
If we put x = 0 in the function then will get y = - 1.
So, the function (1) has y-intercept at (0,-1). (Answer)
Final answer:
Only statement 3 is correct, which states that the function (x) = x - 1 has a y-intercept of (0, -1). The function's x-intercept is actually (1, 0), the slope is consistently -1, and the other statements are either incorrect or irrelevant.
Explanation:
We are asked to determine which expressions best describe the function (x) = x - 1.
The first statement is incorrect because the Pythagorean Theorem is used to determine distances and relationships in right-angled triangles, not midpoints of functions.The second statement is incorrect. The x-intercept is found when (x) = 0, so setting x - 1 = 0 gives x = 1. Thus, the x-intercept is (1, 0), not (3, 0).The third statement is correct. The y-intercept of a function is the point where it crosses the y-axis. For the function (x) = x - 1, the y-intercept is (0, -1) as f(0) = -1.The fourth statement is incorrect because the slope of the function is consistent across the entire graph for a linear function. 'Sometimes' suggests variability which doesn't apply here.The fifth statement is irrelevant to the question since there is no information given regarding a right triangle related to the function (x) = x - 1.Therefore, only statement 3 correctly describes the function (x) = x - 1.
A car dealership creates an expression to model the value of a new car t years after it is
purchased. If the value of the car is P(0.88)', where P is the purchase price,
which statement is true?
The value of the car decreases by 12% each year.
The value of the car decreases by 88% each year.
O
The value of the car increases by 12% each year.
The value of the car increases by 88% each year.
Calculator
Answer:
The value of car decreases by 12% each year.
Step-by-step explanation:
A car dealership creates an expression to model the value of a new car t years after it is purchased and the expression is [tex]P(0.88)^{t}[/tex] ..... (1)
Now, if the value of the car depreciates at a rate of r% each year, then the value of the car (Say, P) will be depreciated to the value
[tex]P' = P(1 - \frac{r}{100} )^{t}[/tex] ...... (2)
Now, comparing the expressions in (1) and (2), we get
[tex]1 - \frac{r}{100} = 0.88[/tex]
⇒ [tex]\frac{r}{100} = 0.12[/tex]
⇒ r = 12%.
Therefore, the value of the car decreases by 12% each year. (Answer)
What a proportion and a ratio
In mathematics, a ratio is the comparison of two numbers or quantities which is an amount, measurement, or number.
For example, a ratio can be used to compare the number of shaded rectangles to the number of unshaded rectangles. In the first image, I provided an image of what this ratio would look like.
A proportion is a pair of ratios that are equal to each other.
If we're asked to determine if two ratios can form a proportion, we really want to see if the ratios are equal to each other. It's important to understand that if two ratios are equal, they form a proportion.
The quadrilateral shown is a rectangle. What is the measure of PR? (round to the nearest hundredth) A) 34.06 B) 37.12 C) 40.24 D) 43. 36
Answer: OPTION B.
Step-by-step explanation:
The missing figure is attached.
For this exercise you need to use the Pythagorean Theorem. This is:
[tex]a^2=b^2+c^2[/tex]
Where "a" is the hypotenuse and "b" and "c" are the legs of the triangle.
In this case you can identify in the figure the triangle PRS, so the diagonal PR is the hypotenuse of the triangle PRS.
Then you can say that:
[tex]a=PR\\b=PS=17\\c=RS=33[/tex]
Therefore, knowing these values, you can substitute them into [tex]a^2=b^2+c^2[/tex]:
[tex]PR^2=17^2+33^2[/tex]
Finally you must solve for PR in order to find its value. This is:
[tex]PR=\sqrt{17^2+33^2}\\\\PR=37.12[/tex]
The measure of a side is the length it possess. The measure of PR for the given rectangle is given by: Option B: 37.12 units.
What is Pythagoras Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
For the given case, we can use the fact that opposite side of a rectangle are of same length, and one more fact that all the adjacent side pairs of a rectangle are perpendicular to each other(means the minor angle between them is of 90 degrees).
The question is missing the figure, which is attached below.
Since PQRS is a rectangle, thus, we have:
|PS| = |QR| = 17 units
|PQ| = |RS| = 33 units
Thus, for the triangle PSR, as angle S internally is of 90 degrees, we can use Pythagoras theorem.
From Pythagoras theorem for PSR, where PR is hypotenuse, we get:
[tex]|PR|^2 = |PS|^2 + |SR|^2\\\\|PR| = \sqrt{17^2 + 33^2} = \sqrt{1378} \approx 37.12[/tex] units.
(positive root was taken as length is a non-negative quantity).
Thus, the measure of PR for the given rectangle is given by: Option B: 37.12 units.
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please help i dont understand this but what is 32% of 4??
Answer:
1.28
Step-by-step explanation:
I used calculator give me brainlist
Answer:
1.28
Step-by-step explanation:
so 32% is equal to .32 and you can imagine that the word "of" means x(as in multiply). Thus said .32 x 4 is 1.28
What is the y and c intercepts of the linear equation
4.) y=-5x+10
Answer:
x-intercept is 2, y-intercept is 10.
Step-by-step explanation:
y=-5x+10
y=mx+b
-------------
m=-5 which means that the slope of this equation is -5.
And to find the y-intercept,
plug in x=0 into the equation and find out the value of y.
y=-5(0)+10=0+10=10
So the y-intercept is 10.
And to find the x-intercept,
plug in y=0 into the equation and find out the value of x.
0=-5x+10
-5x=0-10
-5x=-10
5x=10
x=10/5=2
So the x-intercept is 2.
Rewrite as a logarithmic equation.
** See picture attached
Answer:
[tex]- 5 \log 2 = - \log 32[/tex]
Step-by-step explanation:
We have to convert an exponential equation into the logarithmic equation.
The given equation is
[tex]2^{-5} = \frac{1}{32}[/tex]
Now, taking log on both sides we get,
[tex]\log 2^{-5} = \log\frac{1}{32}[/tex]
⇒ [tex]- 5 \log 2 = \log 1 - \log 32[/tex]
{Since we know from the logarithmic property that [tex]\log a^{b} = b \log a[/tex] and [tex]\log \frac{a}{b} = \log a - \log b[/tex] }
⇒ [tex]- 5 \log 2 = - \log 32[/tex] {Since [tex]\log 1 = 0[/tex] }
Hence, this is the required logarithmic equation. (Answer)
The first showing of a new movie at the local movie theatre sold a total of 650 tickets. A ticket purchased at the door costs $11.50 and pre-purchased ticket costs $8.50. The total ticket sales for this movie were $6725. How many of each type of ticket were sold?
Which describes how to find the solution 5k >22
Answer:
k > 4.4Step-by-step explanation:
[tex]5k>22\qquad\text{divide both sides by 5}\\\\\dfrac{5k}{5}>\dfrac{22}{5}\\\\k>4\dfrac{2}{5}\to k>4.4\to k\in(4.4,\ \infty)[/tex]
what is the answer to 7(3+x+4)
help me I will make you brainlest
5. The parts that are added or subtracted in an algebraic
expression are called?
Answer:
They are known as terms in algebraic expression
Step-by-step explanation:
It takes 30 cups of milk to make 4 sticks of butter. find the unit rate
It takes 7.5 cups of milk to make 1 stick of butter.
Step-by-step explanation:
Given,
Cups of milk used = 30 cups
Sticks of butter made = 4
Unit rate describes how many units of one quantity corresponds to 1 unit of other quantity.
We will find unit rate per butter stick.
Unit rate per butter stick = [tex]\frac{cups\ of\ milk\ used}{No.\ of\ butter\ sticks}[/tex]
Unit rate per butter stick = [tex]\frac{30}{4} = 7.5\ cups\ of\ milk\ per\ butter\ stick[/tex]
It takes 7.5 cups of milk to make 1 stick of butter.
Keywords: unit rate, division
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Create the linear equation from the points (3,3) and (1,-5).
Answer:
[tex]-4x + y = -9\:or\:y = 4x - 9[/tex]
Step-by-step explanation:
First, find the rate of change [slope]:
[tex]\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{-3 - 5}{-3 + 1} = \frac{-8}{-2} = 4[/tex]
Then, plug these coordinates into the Slope-Intercept Formula instead of the Point-Slope Formula because you get it done much swiftly that way. It does not matter which ordered pair you choose::
−5 = 4 + b
[tex]\displaystyle -9 = b \\ \\ y = 4x - 9[/tex]
If you want it in Standard Form:
y = 4x - 9
- 4x - 4x
_________
[tex]\displaystyle -4x + y = -9[/tex]
_______________________________________________
3 = 4[3] + b
12
[tex]\displaystyle -9 = b \\ \\ y = 4x - 9[/tex]
y = 4x - 9
- 4x - 4x
_________
[tex]\displaystyle -4x + y = -9[/tex]
** You see? I told you it did not matter which ordered pair you choose because you will ALWAYS get the exact same result.
I am joyous to assist you anytime.
The linear equation created from the points (3,3) and (1,-5) is y = 4x - 9, found by first calculating the slope, then finding the y-intercept.
Explanation:To create a linear equation from two points, you need to find the slope and y-intercept. Let's use the two points given: (3,3) and (1,-5). The slope (m) is found using the formula [tex](y2 - y1) / (x2 - x1),[/tex] so [tex]m = (-5 - 3) / (1 - 3) = -8 / -2 = 4[/tex]. Next, use the y = mx + b formula to find the y-intercept (b). Substituting one of the points and the slope, we get: [tex]3 = 4 * 3 + b[/tex], solving for b, gives b = -9. So, the linear equation is [tex]y = 4x - 9.[/tex]
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In which of these is the original price highest:
(A) after a 5% discount, the price was $190 (B) after a 10% discount, the price was $180 (C) after a 20% discount, the price was $170 (D) after a 30% discount, the price was $140
Answer:
c
Step-by-step explanation:
turn the percent into a decimal and × by the number you get that number that the percent represents in the number add it to the number and you get the original price
The price which is highest is Option C)
After a 20% discount, the price was $170
What is Percentage?
A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %
Given data ,
A)
After a 5 % discount , the price was $ 190
So , the percentage is calculated as
190 / 0.95 = $ 200
B)
After a 10 % discount , the price was $ 180
So , the percentage is calculated as
180 / 0.90 = $ 200
C)
After a 20 % discount , the price was $ 170
So , the percentage is calculated as
170 / 0.80 = $ 212.50
D)
After a 30 % discount , the price was $ 140
So , the percentage is calculated as
140 / 0.70 = $ 200
Therefore , the price $ 212.50 is the highest
Hence , the solution , after a 20% discount, the price was $170 is the highest
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Review the expression below -2(a+b-5)+3(-5a+2b)+b(6a+b-8)
Answer:
6ab + b^2 - 17a - 4b + 10
Step-by-step explanation:
-2(a+b-5)+3(-5a+2b)+b(6a+b-8)
Now we break the parenthesis. To break that, we multiply each of the value inside the parenthesis by the adjacent number. That is, for the first part of the expression, we multiply by -2, then by 3, and then by b.
Algebraic Operations need to be considered:
[ (-) x (-) = (+); (-) x (+) = (-)]
= [-(2*a) + (-2*b) - (-2*5)] + [3*(-5a) + (3*2b)] + [(b*6a) + (b*b) - (b*8)]
= -2a - 2b +10 -15a + 6b + 6ab + b^2 - 8b
Now, we will make the adjustment by the similarity value.
= - 2a - 15a - 2b + 6b - 8b + 6ab + b^2 + 10
= - 17a - 4b + 6ab + b^2 + 10
= 6ab + b^2 - 17a - 4b + 10
Therefore, the answer of the expression is = 6ab + b^2 - 17a - 4b + 10
What is the reciprical of 200 and 450
Answer:
Part a) [tex]\frac{1}{200}[/tex]
Part b) [tex]\frac{1}{450}[/tex]
Step-by-step explanation:
we know that
A reciprocal of a rational number [tex]\frac{p}{q}[/tex] is obtained by changing the numerator and denominator, so the numerator becomes the denominator and the denominator becomes the numerator obtaining [tex]\frac{q}{p}[/tex]
Part a) we have
200
we know that
the given number can be expressed as [tex]\frac{200}{1}[/tex]
so
changing the numerator and denominator
The reciprocal is equal to [tex]\frac{1}{200}[/tex]
Part b) we have
450
we know that
the given number can be expressed as [tex]\frac{450}{1}[/tex]
so
changing the numerator and denominator
The reciprocal is equal to [tex]\frac{1}{450}[/tex]
which is larger 7.325 or 6.425?
Answer:
7.325 is larger
Step-by-step explanation:
7.325 is larger becuse 7 is a bigger number than 6 and the decimal point is in the same place so 7.325 will be larger
Answer: 7.325
Step-by-step explanation: 7.325 is larger than 6.425 because it is more positive than the other number. You can see this by looking at a number chart.
Hope this helps, have a BLESSED and wonderful day! :-)
Keegan rides the bus 4 miles to school in the morning, and 4 miles home from. school in the afternoon. How many miles does Keegan ride the bus in 5 days?
Final answer:
Keegan rides 8 miles per day going to and from school. Over the course of 5 days, he rides a total of 40 miles on the bus.
Explanation:
The question asks how many miles Keegan rides the bus in 5 days if he travels 4 miles to school and 4 miles home each day. To solve this, we can multiply the daily round trip distance by the number of school days in a week. Keegan travels 8 miles per day (4 miles to school and 4 miles back home). So, in 5 days, Keegan will have traveled:
8 miles/day imes 5 days = 40 miles
Therefore, Keegan rides the bus 40 miles in 5 days.
I don’t understand at ALL. If you could give answer then explain how or just give answer it would be really helpful!!
We can classify each number as:
0 = ones place
8 = tenths place
7 = hundredths place
3 = thousandths place
Now that we know that 7 is in the hundredths place we can write this as: 7/100 (0.07)
_______
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Wolfyy :)
Troy and two of his friends do
yard work for Troy's dad. After
Troy's dad paid $35 for gas
and expenses, the boys made
$128 in October. How much
will each boy make?
Answer: Each boy gets $31.
Step-by-step explanation:
The data we have is:
We have 3 kids (Troy and two friends)
The father paid $35 for gas and expenses.
The boys made $128.
Then we have $128 divided equally into 3 boys.
But those $35 of expenses must be returned for the dad (guess that the gas and expenses are things neede for the kids)
So the amount that they can divide is $128 - $35 = $93
then each boy gets N = $93/3 = $31
How do you find the unit rate of 72/12
Answer:
6 : 1Step-by-step explanation:
[tex]\dfrac{72}{12}=\dfrac{72:12}{12:12}=\dfrac{6}{1}=6:1[/tex]
What is y+1=5/6(x-2) in standard form?