a triangle has sides of length 7, 10, and s write an equation representing the perimeter p of the triangle
Answers
Answer:
S=7
Step-by-step explanation:
7(2+10)
14+10
=26 is the perimeter
S=7
Good luck!
Related Questions
Solve the given system by the substitution method.
3x + y = 8
7x - 4y = 6
Answers
Answer:
\({ \tt{y = 8 - 3x}} - - - (i) \\ \\ = > 7x - 4(8 - 3x) = 6 \\ 7x - 32 + 12x = 6 \\ 19x - 32 = 6 \\ 19x = 38 \\ x = 2 \\ \\ = > y = 8 - 3(2) \\ y = 2\)
y=8-3x (rearranged)
7x-4y=6
7x-4(8-3x)=6 (substitute the value of y with 8-3x)
7x-32+12x=6
19x=38
x=2
y=8-3(2)
y=2
Solve (x+1)2 =13/4 using the square root property
Answers
Answer:
Starting with the equation:
(x + 1)^2 = 13/4
We can use the square root property, which states that if a^2 = b, then a is equal to the positive or negative square root of b.
Taking the square root of both sides, we get:
x + 1 = ±√(13/4)
Simplifying under the radical:
x + 1 = ±(√13)/2
Now we can solve for x by subtracting 1 from both sides:
x = -1 ± (√13)/2
Therefore, the solutions to the equation are:
x = -1 + (√13)/2 or x = -1 - (√13)/2
Step-by-step explanation:
Two traffic lights operate independently. Your probability of being stopped at the first one is 0.4 and your probability of being stopped at the second one is 0.7. The probability at being stopped at the first light and second light is 0.3. What is your probability of being stopped at the first light or second light?Make sure to show your work. NEED HELP ASAP. The correct answer was .8 I just don't know how. Thank you.
Answers
Answer:
0.54 or 54%
Step-by-step explanation:
P( 1st but not second) = P(1st) - P(1st and Second) = 0.4 - 0.28 = 0.12 = 12%
P( 2nd but not first) = P(2nd) - P(1st and Second) = 0.7 - 0.28 = 0.42 = 42%
Probability of 1 of them (exactly one) = P( 1st but not second) + P( 2nd but not first) = 0.12 (12%) + 0.42 (42%) = 0.54 or also 54%.
Hope this helps!
Vacation Costs - Your family is planning a 7-day vacation in Florida. You estimate that it will cost $275 per day in Tampa and $400 per day in Orlando. Your total budget for the 7-days is $2,300. How many days do you spend in each location? Systems of equations only
Answers
Answer:
3 days in Orlando and 4 days in Tampa
Step-by-step explanation:
Represent Tampa with T and Orlando with L
Given
\(Cost\ in\ T = 275\)
\(Cost\ in\ L = 400\)
\(Total = 2300\)
\(Days = 7\)
Required
Solve for T and L
We start by representing the given data, algebraically;
In terms of days:
\(T + L = 7\)
In terms of cost:
\(275T + 400L = 2300\)
Make T the subject in (1)
\(T = 7 - L\)
Substitute in (2)
\(275(7 - L) + 400L = 2300\)
\(1925 - 275L + 400L = 2300\)
Collect Like Terms
\(- 275L + 400L = 2300 - 1925\)
\(125L = 375\)
Divide through by 125
\(L = 375/125\)
\(L = 3\)
Recall that
\(T = 7 - L\)
\(T = 7 - 3\)
\(T = 4\)
This implies 3 days in Orlando and 4 in Tampa
Lee has made a nonrefundable deposit of the first month’s rent (equal to $900) on a
apartment lease to 6 months. The same day later Lee finds a different apartment that
he likes just as well, but its monthly rent is cheaper and negotiable. Assume a nominal
rate interest rate of 8% convertible monthly. The rent will be paid monthly and at the
beginning of each month. [8]
(i) Write down the cash flow and compute the present value (to 2 decimal numbers)
of 6 months if Lee rents the first apartment ($900).
(ii) Find the range of the rent (to 2 decimal numbers) of the cheaper apartment such
that Lee would switch to rent the new apartment.
Answers
It would be wiser for the couple to stay in the old apartment and save $1400.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
Explanation:
If they stay until the end of the lease, total money that will be paid out is $1000 x 6 = $6000,
If they leave, they'll have to forgo $1000.
If they move to their new apartment, they'll pay $900 x 6 = $5400
total expenditure if they move to the new place at the end of the six months period will be, the $1000 that will not be refunded back to them on the old apartment, plus this new $5600 for six month's rent in this new apartment, and that will be a total of $6400.
It would be wiser for the couple to stay in the old apartment and save $1400.
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help help help help help pls
Answers
Answer:
Option (D)
Step-by-step explanation:
Kevin delivers newspaper in his town and earns an amount represented by a linear equation,
y = 30x + 18
Here, y = total earnings
x = number of houses he delivers the newspaper
If he doesn't deliver any newspaper on a certain day, (x = 0)
Then total earnings, y = 30(0) + 18
y = 18 cents
Therefore, a certain amount of 18 cents will be paid even if he doesn't deliver any newspaper on a certain day.
Option (D) is the correct option.
What ratio is equivalent to 15/4? PLEASE HELP
Answers
Hello there! :)
The ratio that is equivalent to 15/4 is 45/12 (you multiply the numerator by 3 and the denominator by 3)
Therefore, your answer is: 45/12.Hope it helps!
~Just a felicitous girlie
\(SilentNature ;)\) is here to help
A car travels 182 miles in hours 3 and 30 minutes. How many miles does it travel per hour?
Answers
Answer:
52
Step-by-step explanation:
A person invested $6100 for 1 year, part at 4%, part at 9%, and the remainder at 15%. The total annual income from these investments was $681. The amount of money invested
at 15% was $300 more than the amounts invested at 4% and 9% combined. Find the amount invested at each rate.
Answers
The amount invested at 4% was $81, and the amount invested at 9% was $825. The amount invested at 15% was $300 more than the combined amount invested at 4% and 9%, which is $81 + $825 + $300 = $1206.
Let x be the amount of money invested at 4%, and y be the amount of money invested at 9%. We know that x + y + (x + y + 300) = 6100, so the amount invested at 15% is x + y + 300.
We also know that 0.04x + 0.09y + 0.15(x + y + 300) = 681, which is the total annual income from these investments.
Substituting the value of x + y + 300, we get:
0.04x + 0.09y + 0.15(x + y + 300) = 681
0.04x + 0.09y + 0.15x + 0.15y + 0.15*300 = 681
0.19x + 0.24y + 45 = 681
0.19x + 0.24y = 636
We can now solve this system of equations using elimination method. First, we can multiply the first equation by 4 and the second equation by 9:
4x + 4y = 6100
9x + 9y = 5676
Then, we can add the two equations to eliminate the y-term:
(4x + 4y) + (9x + 9y) = 6100 + 5676
13x + 13y = 11776
x + y = 906
Substituting this value back into either of the original equations, we can solve for x and y:
x + y = 906
x = 906 - y
4(906 - y) + y = 6100
4*906 - 4y + y = 6100
3624 - 3y = 6100
-3y = -2476
y = 825
Substituting this value back into the equation x + y = 906, we can solve for x:
x + y = 906
x + 825 = 906
x = 81
Therefore, the amount invested at 4% was $81, and the amount invested at 9% was $825. The amount invested at 15% was $300 more than the combined amount invested at 4% and 9%, which is $81 + $825 + $300 = $1206.
We can check our solution by substituting the values of x and y into the original equations to verify that they are both satisfied.
Lines I and M are cut by transversal N which statement would prove I//M picture attached.
Answers
Answer:
2 one and pls brainlist
Write the equation of the line in fully simplified slope-intercept form.
2
-12-11-10-9-8-7-5-4-3-2-1
1 2 3 4 5 6 7 8 9 10 11 12
Answers
Answer:
\(Equation : \ y = \frac{4}{5}x + 4\)
Step-by-step explanation:
To find equation of a line we will consider two points through which the lines passes .
Let it be ( -5 , 0 ) and ( 0 , 4 )
Step 1 : Find the slope
\(slope , m = \frac{y_2 - y_1}{x_2-x_1} = \frac{0-4}{-5-0} = \frac{-4}{-5} = \frac{4}{5}\)
Step 2 : Equation of the line
\((y - y_1) = m(x - x_1) \\\\or \\\\(y - y_2) = m (x -x _2)\)
We will use the second point ( 0. 4)
\((y - 4) = \frac{4}{5}(x - 0)\\\\y = \frac{4}{5}x + 4\)
How do you find the real roots and the discriminant?
Answers
Discriminant and The real roots are exits only for D≥0.
What is quadratic equation?
it's a second-degree quadratic equation which is an algebraic equation in x. ax² + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term, is the quadratic equation in its standard form. A non-zero term (a 0) for the coefficient of x2 is a prerequisite for an equation to be a quadratic equation. The x2 term is written first, then the x term, and finally the constant term is written when constructing a quadratic equation in standard form. In most cases, the numerical values of letters a, b, and c are expressed as integral values rather than fractions or decimals.
Discriminant D = \(\sqrt{4ac - b^{2} }\)
D = 0 (The roots are equal and Real)
D > 0 (The roots are unequal, Real and Rational)
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A farmer claims that the average mass of an apple grown in his orchard is 100g. To test this claim, he measures the mass of 150 apples that are grown in his orchard and determines the average mass per apple to be 98g. The results are calculated to be statistically significant at the 0.01 level. What is the correct interpretation of this calculation?
A. The data are not statistically significant at the 0.05 level.
B. The mean mass of any 150 apples grown in the farmer's orchard is 98g.
C. At the 0.01 level of significance, the mean mass of the apples grown in the farmer's orchard is different from 100g.
D. At the 0.01 level of significance, the mean mass of the apples grown in the farmer's orchard is 98g.
Answers
Answer:
C. At the 0.01 level of significance, the mean mass of the apples grown in the farmer's orchard is different from 100g.
Step-by-step explanation:
The null hypothesis is:
\(H_{0} = 100\)
Because of the claim of the farmer.
The alternate hypothesis is:
\(H_{1} \neq 100\)
The alternate hypothesis tests the farmer's claim at a significance level.
The results are calculated to be statistically significant at the 0.01 level.
This means that at the 0.01 level, the null hypothesis is rejected, that is, the mean mass of the farmer's orchard is different from 100. Since it is significant at the 0.01 level, it will be significant at the 0.05, 0.1, and increasing levels. So the correct answer is given by option C.
A police officer invested $5,000 in a treasury bond paying 4.75% interest compounded quarterly. After 25 years, the value of the bond will be $16,280.08. If the police officer's investment was compounded continuously instead of four times per year, what would be the difference in the account balances after 25 years?
Answers
Answer:
114.29
Step-by-step explanation:
Transforming the graph of a function by shrinking or stretching
Answers
So,
From the graph of the function f(x), we can notice it contains the points:
\(\begin{gathered} f(2)=-4\to(2,-4) \\ f(-2)=-2\to(-2,-2) \end{gathered}\)If we use the transformation, we obtain the new points:
\(\begin{gathered} f(\frac{1}{2}x)\to f(\frac{1}{2}(2))=f(1)=-\frac{7}{2}\to(2,-\frac{7}{2}) \\ f(\frac{1}{2}x)\to f(\frac{1}{2}(-2))=f(-1)=-\frac{5}{2}\to(-2,-\frac{5}{2}) \end{gathered}\)All we need to do to graph the new line is to plot the points:
\((2,-\frac{7}{2})\text{ and }(-2,-\frac{5}{2})\)And form a line that passes through them.
There is a box of 45 markers. Of the markers, 20 are black and the rest are red. What fraction of the
total marbles is red? Write your answer in simplest form.
Answers
Answer:
5/9 of the marbles are red
Step-by-step explanation:
Of the 45 marbles, 20 are black, and the other 25 are red. So 25/45, or 5/9, of the marbles are red.
Pleeeeeezzzzzzzz answer this
Answers
Answer:49 degrees
Step-by-step explanation: because all the opposite angles are same and alternative angles makes it same too plz mark me brainiest
There are 80 Calories in every 4-ounce serving of grapes. Which equation can be
used to determine the number of Calories, y, in x ounces of grapes?
Answers
The solution is, y = 20x is the equation can be used to determine the number of Calories, y, in x ounces of grapes.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
here, we have,
There are 80 Calories in every 4-ounce serving of grapes.
i.e. in 1 ounce there are 80/4 = 20 cal.
so, the number of Calories, y, in x ounces of grapes
means, y = 20x
Hence, The solution is, y = 20x is the equation can be used to determine the number of Calories, y, in x ounces of grapes.
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Sarah spent 30 minutes practicing her spelling words. She spent 3 times as much time reading. How many minutes did Sarah spend reading?
Answers
Sarah spends reading 30 min + \(0.05 min^{2}\).
What is a mathematical expression?An expression or mathematical expression is a finite collection of symbols that is well-formed according to context-dependent norms. To assist identify the sequence of operations and other features of logical syntax, mathematical symbols can denote numbers (constants), variables, operations, functions, brackets, punctuation, and grouping.
However, in modern mathematics, and particularly in computer algebra, formulae are considered expressions that may be evaluated as true or false based on the values assigned to the variables in the expressions.
The problem is in a mathematical expression.
30 min+3s min did Sarah spend reading
Convert s to min
.30min+3s min× 1min/60s
Cancel the common units and simplify.
Cross-cancel units.
30 min + \(0.05 min^{2}\)
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Triangles WILL GIVE BRAINLIEST
Answers
Answer:
A
Step-by-step explanation:
A
Answer:
Q9 - Option 1---- A - 15.6 Square Units
Q10 --Option --- (B) RECTANGLE
Step-by-step explanation:
Q9 --
Analyze:we know area of triangle = 1/2 ab sin theta
Where theta is the angle included between sides A and side B
Calculate:A = 5.2
B = 7
theta = 121 degrees
Area:1/2 * 5.2 * 7 * sin 121 degrees = 15.6 Square Units
Conclusion
The area of the triangle is 15.6 Square Units
Q10 - The cross-section of a right cylinder which is perpendicular to its base is a RECTANGLEOption --- (B) RECTANGLE
Hope this helps!
Please someone help me I rlly don’t get this I’ll give you like 40 points
Answers
Answer:
Step-by-step explanation:
H(n)=91x(-1/7) n-1
do not know
Hope it helps the answer is the 2nd one have a great day
URGENT A bakery wanted to make their muffins more uniform in size. They reworked their equipment to do so. To test the changes, they made 25 muffins then measured each one. Which of the following should they use to determine whether or not the equipment changes worked?
Select one:
a.
mean
b.
mode
c.
range
d.
interquartile range
Answers
The bakery should use the range to determine whether or not the equipment changes have worked. The correct answer is C.
To determine whether the equipment changes made by the bakery have resulted in more uniform-sized muffins, they should use the measure of variability. The most suitable measure, in this case, would be the range.
The range is calculated by finding the difference between the maximum and minimum values in a data set. In this scenario, the bakery made 25 muffins and measured each one. By finding the range of the measurements, they can assess the spread of sizes among the muffins.
Here's how they can use the range to evaluate the effectiveness of the equipment changes:
Collect the measurements of all 25 muffins.
Determine the maximum and minimum measurements.
Calculate the range by subtracting the minimum measurement from the maximum measurement.
If the range of the muffin sizes is smaller compared to the range before the equipment changes, it suggests that the modifications have resulted in more uniform-sized muffins. Conversely, if the range remains similar or larger, it indicates that the changes might not have effectively improved the uniformity of muffin sizes.
Therefore, the bakery should use the range to determine whether or not the equipment changes have worked. The correct answer is C.
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If -4 ( 5x - 1) = 196, what is x?
Answers
Answer:
10
Step-by-step explanation:
divide each side by -4
5x-1=-49
5x=50
x=10
x = -9.6
Explanation:
First you the distributive property. -4(5x)=-20x and -4(-1)=4. Now we have -20x + 4 = 196. To single out the variable we subtract 4 from both sides. 4 - 4 = 0 and 196 - 4 = 192, now we have -20x = 192. Finally divide by -20 on both sides, -20 ÷ -20 = 1, 1x is the same as x. 192 ÷ -20 = -9.6. There your have it.
-4(5x - 1)= 196, x = -9.6.
can someone help me i don't understand ;-
Answers
Answer: I think the answer is 150 but i might be wrong
Step-by-step explanation:
What is the area of the square that measures 3.1 m on each side
Answers
The area of the square with a side length of 3.1 meters is 9.61 square meters.
To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.
Area of a square = side length × side length
Substituting the given side length into the formula:
Area = 3.1 m × 3.1 m
To perform the calculation:
Area = 9.61 m²
It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.
Remember, to find the area of any square, you simply need to multiply the length of one side by itself.
The area of the square with a side length of 3.1 meters is 9.61 square meters.
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Before the trip, Tyler read 24 pages of his Philadelphia guidebook in an hour. The guidebook is 84 pages long. If he continued to read it at the same
rate, how long did it take Tyler to finish reading the guidebook before his family's trip?
Answers
When you woke up this morning, the temperature was -5.8°C. At noon, the temperature was 2.9°C. Which expression and statement describes the situation?
Answers
Answer:
-5.8<2.9
Step-by-step explanation:
help pls ill give extra points
Answers
Let f(x) = 8x3 + 16x2 − 15 and g(x) = 2x + 1. Find f of x over g of x. WILL GIVE BRAINLIEST!
Answers
Answer:
4x² + 6x - 3 remainder -12Step-by-step explanation:
Given:
(x) = 8x³ + 16x² − 15g(x) = 2x + 1To find:
f(x) / g(x)Use long division:
f(x) / g(x) = (8x³ + 16x² − 15) / (2x + 1)2x + 1 | (8x³ + 16x² − 15
| 8x³ + 4x²
12x² + 0x - 15
12x² + 6x
-6x - 15
-6x - 3
-12
4x² + 6x - 3 remainder -12
\(\sf \dfrac{f(x)}{g(x)}\)
\(\\ \rm\longmapsto \dfrac{8x^2+16x^2-15}{2x+1}\)
Refer to attachment now
Juliet has a choice between receiving a monthly salary of $1900 from a company or a base salary of $1800 and a 5% commission on the amount of furniture she sells during the month. For what amount of sales will the two choices be equal?
Answers
Juliet will earn the same amount of money whether she chooses a monthly salary of $1900 from the company or a base salary of $1800 plus a 5% commission on furniture sales if her sales amount to $2000.
To find the amount of sales for which the two salary choices are equal, we set the equation for the base salary plus commission equal to the equation for the flat monthly salary. The equation can be written as:
1800 + 0.05x = 1900
where x is the amount of furniture sales in dollars.
Simplifying and solving for x, we get:
0.05x = 100
x = 2000
If she sells less than $2000 of furniture, she will earn more with the flat monthly salary of $1900. If she sells more than $2000 of furniture, she will earn more with the base salary plus commission. This calculation provides an important decision-making tool for Juliet, as she can tailor her salary choice based on her expected sales for the month.
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