Simplifying
5(7x + -3) = 230
Reorder the terms:
5(-3 + 7x) = 230
(-3 * 5 + 7x * 5) = 230
(-15 + 35x) = 230
Solving
-15 + 35x = 230
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '15' to each side of the equation.
-15 + 15 + 35x = 230 + 15
Combine like terms: -15 + 15 = 0
0 + 35x = 230 + 15
35x = 230 + 15
Combine like terms: 230 + 15 = 245
35x = 245
Divide each side by '35'.
x = 7
Simplifying
x = 7
convert 0.00687 into scientific notation
Answer:
6.87^-3
Step-by-step explanation:
Answer:
6.87 x 10-3
Step-by-step explanation:
In scientific notation all numbers are written in the form of m×10n (m times ten raised to the power of n), where the exponent n is an integer, and the coefficient m is any real number, called the significand or mantissa. If the number is negative then a minus sign precedes m (as in ordinary decimal notation).
Write an expression with 4 terms, containing the coefficients 3, 6, and 9.
Answer:
3x^2 + 6y - 9x +4
Step-by-step explanation:
The graph below shows interest charges accrued on 4 different credit cards. Based on the graph, which credit card appears to have an introductory APR? A. Card 1
B.Card 2
C. Card 3
D.card 4
Answer:
The correct option is D.card 4
Step-by-step explanation:
Consider the provided graph.
The introductory APR is a discounted interest rate which credit card companies frequently give new customers after opening an account for a fixed number of months. Most credit cards on payments, balance transfers or both offer discounted APRs.
The graph of card 4 is showing that the interest rate in Jan to Apr was lower, after Apr the interest rate increase with different slope.
Therefore, the correct option is D.card 4
Answer:
Card 4 i think
Step-by-step explanation:
Mia did a study for a health class about the effects of the length of a person's foot and their shoe size. Based on a graph of her data, she found that there was a relationship between the length of a person's foot and their shoe size. Which of the following is a valid conclusion? A. The length of a person's foot is a cause of their shoe size, which implies that there is also a correlation between the length of a person's foot and their shoe size. B. There is no correlation between a person's shoe size and the length of their foot. C. A person's shoe size is a cause of the length of their foot. D. No conclusion can be drawn about the correlation or causation between a person's shoe size and the length of their foot.
Answer: The correct answer is A.
Step-by-step explanation: Based on Mia’s data, she found that there was a relationship between the length of a persons foot and their shoe size. The only valid conclusion in the options is choice a. The length of a persons foot is a cause of their shoe size, which implies that there is also a correlation between the length of a person’s foot and their shoe size.
Which is an example of a function?
A. The cost of a small dish of ice cream at an ice cream parlor and the height of the customer.
B. The time you spend at the library and the distance to the library.
C. The time it takes to drive to the ski resort and the speed drive.
D. The price of a one-year magazine subscription and the age of the subscriber.
the answer is a.cause a function is a mapping from a set of input to the output
Please help me with these questions
Answer: 4x-5
Step-by-step explanation: g(f(x))
g(4x-3)
4x-3-2
4x-5
Answer:Hmmmmmmm
Step-by-step explanation:
i really hope i can help
#3. Find the area of the triangle. Round to 2 decimal places. Thanks.
Answer:
C
Step-by-step explanation:
The area (A) of the triangle is calculated using
A = [tex]\frac{1}{2}[/tex] ab sinC
where a, b are the 2 sides and C is the angle between them
here a = 6, b = 2 and C = 80°, hence
A = 0.5 × 6 × 2 × sin80° = 5.91 cm² → C
what is the measure of each angle of a non agon (Regular)
[tex]\bf \textit{sum of all interior angles in a regular polygon}\\\\ n\theta =180(n-2)~~ \begin{cases} n=\textit{number of sides}\\ \theta =angle~in\\ \qquad degrees\\[-0.5em] \hrulefill\\ n=9 \end{cases}\implies 9\theta =180(9-2) \\\\\\ 9\theta =1260\implies \theta =\cfrac{1260}{9}\implies \theta =140[/tex]
Valerie's younger sister is 3 ft 2 in. tall. if her sister grows an additional 32 inches how tall will she be
Answer:
6 feet 4 inches
Step-by-step explanation:
Step-by-step explanation:
3 FEET 2 INCHES These are not the same! Do not multiply
Each foot is 12 inches. So 3 times 12 (3 feet) is 36, add the extra 2 inches for 38 inches.
38 plus 32 equals 70 total inches. NOw we put it back into feet.
70 divided by 12 is 5, remainder 10.
So Valerie's sister will be 5 feet 10 inches (G)
How do I solve this?
Answer:
The answer is D
Step-by-step explanation:
all you have to do is trace the triangle and see/.
The correct answer is D my baby
David’s garden produced six bushels of zucchini, three bushels of beans, seven bushels of corn, and four bushels of beets. In the table below, write the fraction (in simplest form) and the percent of David’s total crop that each vegetable represents.
Answer:
Step-by-step explanation:
Zucchini = 'z' = 6
Beans = 'b' = 3
Corn = 'c' = 7
beets = 't' = 4
Total produce = 20 bushels of veggies.
z = 6/20 = 3/10 % = 3/10*100 = 30%
b = 3/20 % = 3/20 * 100 = 15%
c = 7/20 % = 7/20 *100 = 35%
t = 4/20 = 1/5 % = 1/5 * 100 = 20%
Total 100%
According to the bar graph, what is the unit of measurement for the experiment?
A) cent
B) gain
C) loss
D) toss
Answer:
Toss
Step-by-step explanation:
I just did the problem.
How do I find the perimeter?
Answer:
8x³ - 5x² + 8x
Step-by-step explanation:
to solve the perimeter, you need to add all sides of the triangle together.
8x² + x³ + 2x² + 7x³ - 3x² + 6x
now, code all the similar variables:
8x² + x³ + 2x + 7x³ - 3x² + 6x
8x² - 3x² = 5x²
x³ + 7x³ = 8x³
2x + 6x = 8x
so, put them all together:
5x² + 8x³ + 8x
but remember that the larger exponent comes first(just a rule)
so, it is : 8x³ - 5x² + 8x
plz give me a brainliesttt
PLEASE PLEASE HELP WILL GIVE POINTS AND MARK BRAINLIEST
Answer:
.167 is irrational.
2/9 is rational.
pi is irrational.
sqrt225 is rational.
Step-by-step explanation:
Why .167 is irrational because it is a decimal.
2/9 is rational because it is a fraction.
pi is irrational because it is a repeating decimal that goes on forever.
Why the sqrt225 is ration is because it comes out as a whole number 15 so it is rational.
Answer:
Step-by-step explanation:
i think the first one is ratinol the second one is ratinol the trid one is irratinol and the last one is irratinol hope i get brainlist witch will never happen any way hope this helps
! URGENT !
-1 3/5 ÷ (-2/3) = ?
Convert 1 3/5 to an improper fraction;
-1 × 5 + 3/5 ÷ -2/3
Simplify 1 × 5 to 5
-5 + 3/5 ÷ -2/3
Simplify 5 + 3 to 8
-8/5 ÷ -2/3
Use this rule: a ÷ b/c = a × c/b
-8/5 × 3/-2
Use this rule; a/b × c/d = ac/bd
-8 × 3/5 × - 2
Simplify 8 × 3 to 24
-24/5 × -2
Simplify 5 × -2 to -10
- 24/-10
Move the negative sing to the left
-(-24/10)
Simplify 24/10 to 12/5
-(-12/5)
Simplify brackets
12/5
Convert to a mixed fraction
= 2 2/5
what are complex numbers?
Answer:
Pie is a complex number?
Step-by-step explanation:
3.14159265358979323846264338327950288419716939937510582097494459230781640628..............................
Answer:
2 + 3i is a complex number
Step-by-step explanation:
a complex number is a number of the form a + bi, where a and b are real numbers and i is an indeterminate satisfying i2 = −1. For example, 2 + 3i is a complex number.
Name each regular polygon. Find the measure the indicated angles
The fourth term of a sequence is 14. Each term of the sequence is 8 less than the previous term. Which recursive formula represents the situation?
So
an=an+b
14=4a+b and a=-8
14=-32+b
b= 46
an=-8n+46
Answer with Step-by-step explanation:
[tex]a_{4}=14[/tex]
Each term of the sequence is 8 less than the previous term
⇒ [tex]a_{3}=14+8=22[/tex]
⇒ [tex]a_{2}=22+8=30[/tex]
⇒ [tex]a_{1}=30+8=38[/tex]
In general [tex]a_{n}=a_{n-1}-8,a_{1}=38[/tex]
Hence, recursive formula representing the situation is:
[tex]a_{n}=a_{n-1}-8,a_{1}=38[/tex]
a refrigerator has a variety of drinks the contents are shown below if one drink is picked randomly then which of the following is not true water 14 cola 28 lemonade 7
Answer:
Where is the answer choices?
Step-by-step explanation:
Classify the quadrilateral. Then find the value(s) of the variable(s).
Answer:
Its A
Step-by-step explanation:
If g(x) is the inverse of f(x), what is the value of f(g(2))?
Answer:
2
Step-by-step explanation:
If g(x) is the inverse of f(x)
f(g(x)) =x
This is the property of inverses.
Let x=2
f(g(2))=2
Answer:
C: 2
Step-by-step explanation:
its right on edg 2020
find the slope of the line throught each points (-19,1),(-1,-14)
Answer:
[tex]\large\boxed{m=-\dfrac{5}{6}}[/tex]
Step-by-step explanation:
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the points (-19, 1) and (-1, -14). Substitute:
[tex]m=\dfrac{-14-1}{-1-(-19)}=\dfrac{-15}{18}=-\dfrac{15}{18}=-\dfrac{5}{6}[/tex]
Triangle ABC ≅ DEF. Each side of triangle ABC is 1.5 times longer than the corresponding sides of triangle DEF. If the perimeter of triangle ABC is 36 centimeters, what is the perimeter of triangle DEF?
Answer:
Step-by-step explanation:
see attachment
Final answer:
The perimeter of triangle DEF is 24 centimeters.
Explanation:
The perimeter of a triangle is the sum of the lengths of its three sides. In this case, triangle ABC is congruent to triangle DEF, and each side of triangle ABC is 1.5 times longer than the corresponding side of triangle DEF. Let's assume the lengths of the corresponding sides of triangle DEF are x, y, and z. Therefore, the lengths of the corresponding sides of triangle ABC are 1.5x, 1.5y, and 1.5z.
Since the perimeter of triangle ABC is 36 centimeters, we can set up the equation as follows: 1.5x + 1.5y + 1.5z = 36. Simplifying the equation, we get x + y + z = 24. This means the perimeter of triangle DEF is 24 centimeters.
Select all the expressions equivalent to 3.1⁴.
Answer:
A, B, DStep-by-step explanation:
[tex]3.1^4=(3.1)(3.1)(3.1)(3.1)\to\boxed{A}\\\\3.1^4=[(3.1)(3.1)](3.1)(3.1)=(9.61)(3.1)(3.1)\to\boxed{B}\\\\3.1^4=[(3.1)(3.1)][(3.1)(3.1)]=(9.61)(9.61)\to\boxed{D}[/tex]
Equivalent expressions to 3.1⁴ involve raising 3.1 to the power of 4. This means 3.1 is multiplied by itself four times, not three times (which would be cubing). The equivalent expression would result from multiplying 3.1 by itself four times.
Explanation:The equivalent expressions to 3.1⁴ involve the operation of raising a number to a power. In this case following the number 3.1, the exponent of 4 means that 3.1 is being multiplied by itself four times, and it is not the same as cubing. The cubing of exponentials refers to the process of raising a number to the power of three or multiplying the number by itself three times. The commutative, associative, and distributive laws can be applied to simplify and rewrite exponential expressions. Therefore, to find an equivalent expression for 3.1⁴, you would need to multiply 3.1 by itself four times.
Learn more about Cubing of Exponentials here:https://brainly.com/question/239851
#SPJ3
PLEASE I DONT HAVE MUCH TIME.
Frederick headed for Lutzen at 3 kph. Later he increased his speed to 4 kph. If it was 52 kilometers to Lutzen and the total time of travel was 15 hours, how long did he travel at 3 kph?
Since distance is equal to rate times time:
Let x= the time traveled at 3 km/h
Let y= the time traveled at 4 km/h
We can say that
3x+4y=52
Or that three (kilometers) times the time traveled at 3 kilometers an hour plus 4 (kilometers) times the time traveled at 4 kilometers an hour is equal to 52; the total distance traveled.
Likewise, we can see that:
x+y=15
Because x, the number of hours traveled at 3 km/h added to y, the time traveled at 4 km/h is equal to 15; the total time traveled.
Now, I'll solve by substitution.
x=-y+15
Substitute that into the other equation.
3(-y+15) + 4y = 52
Distribute
-3y + 45 + 4y = 52
Combine like terms
y + 45 = 52
Minus 45 from both sides
y = 7
So Fredrick traveled at 4 km/h for 7 hours.
Now, to find the other value, substitute the value of y into one of the original equations.
x + 7 = 15
Minus 7
x = 8
So
Time traveled at 4 km/h = 7 hours
Time traveled at 3 km/h = 8 hoursSince distance is equal to rate times time:
Let x= the time traveled at 3 km/h
Let y= the time traveled at 4 km/h
We can say that
3x+4y=52
Or that three (kilometers) times the time traveled at 3 kilometers an hour plus 4 (kilometers) times the time traveled at 4 kilometers an hour is equal to 52; the total distance traveled.
Likewise, we can see that:
x+y=15
Because x, the number of hours traveled at 3 km/h added to y, the time traveled at 4 km/h is equal to 15; the total time traveled.
Now, I'll solve by substitution.
x=-y+15
Substitute that into the other equation.
3(-y+15) + 4y = 52
Distribute
-3y + 45 + 4y = 52
Combine like terms
y + 45 = 52
Minus 45 from both sides
y = 7
So Fredrick traveled at 4 km/h for 7 hours.
Now, to find the other value, substitute the value of y into one of the original equations.
x + 7 = 15
Minus 7
x = 8
So
Time traveled at 4 km/h = 7 hours
Time traveled at 3 km/h = 8 hours
pls help will give brainliest
the correct answer is the 3rd table.
Complete the square to determine the minimum or maximum value of the function defined by the expression. −x2 + 10x + 5
[tex] - {x}^{2} + 10x + 5 \\ = - {x}^{2} + 10x - 25 + 5 + 25 \\ = - ( {x}^{2} - 10x + 25) + 30 \\ = \underbrace{ - {(x - 5)}^{2}}_{\leqslant 0} + 30 \\ \Rightarrow - {(x - 5)}^{2} + 30 \leqslant 30 \\ \Rightarrow Maximum \: value \: is \: 30 \: when \: x = 5[/tex]
Plz help got it wrong show work plz
Answer: C) $1951.53
Step-by-step explanation:
[tex]A=P(1+r)^{t}[/tex]
A is amount accrued (final balance)P is the Principal (original amount deposited)r is the rate (in decimal form)t is the number of yearsA=1500(1+0.068)⁴
= 1500(1.068)⁴
= 1951.53
Find the mean absolute deviation. Round to the tenth
Answer:
1) 1.8 round to tenths
Step-by-step explanation:
To find the mean absolute deviation we follow these steps:
Find the mean value by adding all data values and dividing by number of data valuesFind the absolute value of the difference between each data value and the mean: | data value – mean. | Divide the sum of the absolute values of the differences by the number of data values1) 4,5,10,8,4,8,7,6
step 1
4+5+10+8+4+8+7+6 / 8 = 6.5
Mean (μ): 6.5
step 2
|4-6.5| + |5-6.5| + |10-6.5| + |8-6.5| + |4-6.5| + |8-6.5| +|7-6.5| + |6-6.5| = 14
step 3
14 / 8 = 1.75
Repeat these steps for other parts.
Two lines intersecting at a right angle ?
Answer:
are perpendicular
Yes, it is perpendicular
Parallel is when you have two lines that do not intersect
A ray is a line that has one definite starting point and no obvious end point. (Stars with a point and "ends" with an arrow, meaning that it goes on "forever")
A line is just one specific line
When you have perpendicular, that is when two lines cross each other forming a right angle as you may now know
Hope this helps :)