Which expression shows the distance on the number line between -3 and -10?
A (-10 - 3)
B (-3+(-10)
C (-3 - 10)
D (-3 - (-10)
Can you help please I have a test
Answer:
D. |-3 - (-10)|
Step-by-step explanation:
The answer is 7 because you move positive 7 if you go from -3 to -10, and
When you have two negative signs, one turns over, and they add together to make a positive. If you have a positive and a negative, there is one dash leftover, and the answer is negative.
Therefore, |-3 - (-10)|
= | 7 |
= 7
Factor as the product of two binomial X^2-100=
Answer:
x^2 - 100 = (x + 10) * (x - 10)
Step-by-step explanation:
Recall that 100 is the perfect square of 10:
10^2 = 100
then we can use the formula for factorization of a difference of squares:
x^2 - 10^2 = (x + 10) * (x - 10)
2.2 2.1.4 a Given that A and B are complementary angles and 7 cos A-3 = 0. Determine WITHOUT the use of a calculator, the value of: 7 cos B-3 tan A. (4)
2. A hotel has 18 floors. The hotel owner believes the number 13 is
unlucky. The first 12 floors are numbered from 1 to 12. Floor 13 is
numbered 14, and the remaining floors are numbered from 15 to 19.
The hotel manager starts on the top floor of the apartment building. He
rides the elevator two floors down. The doors open and a hotel guest
gets in. They ride the elevator three floors down. The hotel guest gets
off the elevator. The hotel manager rides the elevator the remaining
floors down to the first floor. On what floor did the hotel guest get off the elevator? Explain.
What is the answer for B?
Answer:
See below
Step-by-step explanation:
The manager rides down 2 floors from 19 floor which means he stops at floor 17, the floor he rides down as negative integer = -2. Then, he rides down 3 floors and it means he stops at floor 14. This means the number of floors he rides down from there = -3
then he rides to the first floor as there is no number 13 floor it means he rides down 12 floor = -12
the addition expression using negative integers to show the number of total floors the hotel manager rode down the elevator = -2 + (-3) + (-12) = -17
determine if each ordered pair is a solution of the system of equations given
3x+5y=13
x-2y=-3
Answer:
x = 1 and y = 2 so if in (x, y) form then (1, 2) and if in (y, x) form then (2, 1)
Step-by-step explanation:
We can solve the system of equations using substitution. We can first isolate x in the second equation. Then, we can plug in the resulting equation for x in the first equation to solve for y:
\(x-2y=-3\\x=2y-3\\\\3(2y-3)+5y=13\\6y-9+5y=13\\11y-9=13\\11y=22\\y=2\)
Now, we can plug in 2 for y in either equation to find x:
\(x-2(2)=-3\\x-4=-3\\x=1\)
Thus, the solution set is (1, 2) when in the (x, y) form, but it is (2, 1) when in the (y, x) form
Answer quick! EASY! WILL GIVE YALL BRAINLIESTTT
Answer:
7
Step-by-step explanation:
:)
B is the midpoint of AC and E is the midpoint of BD. If A(-9,-4), C(-1,6) and E(-4,-3), find the coordinates of D
9514 1404 393
Answer:
D = (-3, -1)
Step-by-step explanation:
B is the midpoint of AC, so ...
B = (A +C)/2
E is the midpoint of BD, so ...
E = (B +D)/2
Solving for D, we have ...
2E -B = D = 2E -(A +C)/2
D = 2(-4, -3) -((-9, -4) +(-1, 6))/2 = (-8, -6) -(-10, 2)/2)
D = (-8 +5, -6 -1)
D = (-3, -7)
The graph below shows the solutions to which inequality?
A. x^2-3x+3 ≥0
B. x² + 3x-3 <0
C. x²-3x+3<0
D. x² + 3x-3>0
The inequality expression that corresponds to the solution of the inequality graph is x² + 3x - 3 < 0.
option B.
What is the solution of the inequality?The inequality expression that corresponds to the solution of the inequality graph is determined by simplifying the equations as follows;
The solution of the graph,
x > -4 and x < 1
The first equation with "≥" is ruled out because the graph doesn't have a thick dot.
Let's simplify the second expression;
x² + 3x - 3 < 0
solve using quadratic formula;
x > -3.79 or x < 0.79
The third expression is ruled out since its solution will be complex.
For the last expression;
x² + 3x - 3 > 0
x < -3.79 or x > 0.79
Thus, the correct inequality expression is x² + 3x - 3 < 0.
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A substance is followed by the symbol (1) in a chemical equation. What does the symbol represent?
Answer:
one atom of that element
Step-by-step explanation:
For example, F1 means one atom of the element Fluorine
Alyssa missed 64 questions on her multiple choice science final and earned a grade of 68%. How many total questions were on the final exam?
Answer: 94 questions
Step-by-step explanation:
is %
----- = -----
of 100
64 68 68 is the percent Alyssa got correct on the exam.
----- = ----- 64 is the questions she got wrong of an unknown total.
x 100 x is the unknown variable. (the total questions on the test)
Cross multiply to get this: 64*100 = 68x
6400 = 68x (Divide by 68 on both sides)
You should get about 94.11 after dividing. You have to round as there cannot be have a question. It should be rounded to 94 questions. There are 94 questions and 64 were missed. To check your work, do 64/94. This should give you about 68% after rounding.
24. This week, Cristina eamed P594.65 from selling burgers for 35 days. How much he will earn in 5 days?
A. P84.95
B. P94.95
C. P104.95
D. P114.95
25. You have four quizzes in your math subject in a quarter. You got 88.75 for the first quiz, 85.5, 90.5, and 87.25 in the second, third and fourth quizzes, respectively. What is your average in the four quizzes this quarter?
A. 86.5
B. 88
C. 89.5
D. 90 26. Amberich put P580.00 into a savings account for one year. The rate of interest on the account was 6.5%. How much was the interest for one year in pesos and centavos?
A. P67.70
B. P37.70
C. P57.70
D. P17.70
24. This week , Cristina eamed P594.65 from selling burgers for 35 days . How much he will earn in 5 days ?
A. P84.95
B. P94.95
C. P104.95
D. P114.95
25. You have four quizzes in your math subject in a quarter . You got 88.75 for the first quiz , 85.5 , 90.5 , and 87.25 in the second , third and fourth quizzes , respectively . What is your average in the four quizzes this quarter ?
A. 86.5
B. 88
C. 89.5
D. 90
26. Amberich put P580.00 into a savings account for one year . The rate of interest on the account was 6.5 % . How much was the interest for one year in pesos and centavos ?
A. P67.70
B. P37.70
C. P57.70
D. P17.70
Question 24 :
P594.65 : 35 days
P594.65/7 : 35/7 days
P84.95 : 5 days
⇒ A. P84.95
Question 25 :
88.75 + 85.5 + 90.5 + 87.25 / 4
352/4
88
⇒ B. 88
Question 26 :
I = P × r × t
I = 580.00 × 0.065 × 1
I = P37.70
⇒ B. P37.70
Ali, Basti and Cian stand at three points A, B and C respectively. Suppose that the measure of angle ABC is 50 degrees , the measure of angle BAC is 60 degrees and Ali is exactly 150 ft away from Basti. Find the distance between Basti and Cian.
To find the distance between Basti and Cian, we can use the law of sines in triangle ABC. The law of sines states that the ratio of the length of a side to the sine of the opposite angle is constant for all sides and their corresponding angles in a triangle.
Let's label the distance between Basti and Cian as "x". We know that the measure of angle ABC is 50 degrees and the measure of angle BAC is 60 degrees. We also know that Ali is exactly 150 ft away from Basti.
Using the law of sines, we can set up the following equation:
sin(50°) / 150 = sin(60°) / x
To solve for "x", we can rearrange the equation:
x = (150 * sin(60°)) / sin(50°)
Using a calculator, we can evaluate the expression:
x ≈ (150 * 0.866) / 0.766
x ≈ 168.4 ft
Therefore, the distance between Basti and Cian is approximately 168.4 ft.
A sales person starts working 40 hours per week at a job with 2 options for being paid . Option A is an hourly wage of $19. Option B is a commission rate of 8% on weekly sales.
How much does the sales person need to sell in a given week to earn the same amount with each option?
A. $9,500
B. $4,750
C. $760
D. $320
Given, Option A: Hourly wage is $19 and the salesperson works 40 hours per week. So, he will earn in a week \(\sf = 19 \times 40 = \$760\)
Now, according to option b, he will get 8% commission on weekly sales.
Let. x = the amount of weekly sales.
To earn the same amount of option A, he will have to equal the 8% of x to $760
So, \(\sf \dfrac{8x}{100}=760\)
Or, \(\sf 8x= 76000\)
Or, \(\sf x= \dfrac{76000}{8}=9500\)
the salesman needs to make a weekly sales of $9,500 to earn the same amount with two options.
5 - the square of the number
A square number is a result when a number has been multiplied by itself.
\(5^2=5\cdot5=25\)Please help me with 1b and 2 I am a little confused
Answer:
vertex form: y=t(1t-16t)²+t ?
Step-by-step explanation:
Triangle DEF has vertices D(1,1), E(2,0), and F(0,4). It is transformed by a rotation 180 degrees about the origin followed by a dilation with a scale factor of 3. Find the coordinates of the vertices of triangle D”E”F”.
Check the picture below.
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Question
The soccer team lost 5 games last season and only 2 games this season. What was the percent decrease in losses?
A-60%
B-150
C-1.5%
D-3%
E-15%
A boat is moored at a dock, as shown in the figure.
What is the length of rope A?
Note: The triangle formed is a right triangle.
8.3 ft
10.5 ft
12.3 ft
8.6 ft
Answer:
12.3
Step-by-step explanation:
i took the quiz
How do you look for a correlation using data points?
The Correl function is the easiest way to for calculating correlation between two variables.
What is correlation ?
correlation can be defined as the measure of relation between two variables.
In case you want to measure of degree the power of a dating between two variables, you can accomplish that through using a complicated or on line calculator. you could additionally placed your mathematical abilities to apply and calculate it through hand. while calculating a correlation coefficient via hand.
To find correlation using data points are as follows :
Determine your data sets.
Calculate the standardized value for your x variables.
Calculate the standardized value for your y variables.
Multiply and find the sum.
Divide the sum and determine the correlation coefficient.
Hence, The Correl function is the easiest way to for calculating correlation between two variables.
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Julia is using this figure to prove that triangle ABC is an isosceles triangle. First, she used the converse of the perpendicular bisector theorem and the definition of perpendicular lines to determine that CE is the perpendicular bisector of AB.
The next step of the valid proof is that AE = CE because of the perpendicular bisector theorem.
What is a perpendicular bisector theorem?The perpendicular bisector theorem states that any point on the perpendicular bisector is equidistant from the endpoints of the line segment on which it is drawn.
In this case, Julia is using this figure to prove that triangle ABC is an isosceles triangle. After the steps given, the next step will be to indicate that AE = CE because of the perpendicular bisector theorem.
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Answer:
AC = BC because of the perpendicular bisector theorem
Step-by-step explanation:
I got it right on the test
are irrational number? justify the reaason !!!! 3√25
Answer:
Rational Number
Step-by-step explanation:
The square root of 25 is rational, which is 5. This would become \(3\sqrt{5^2}\), take out the \(5^2\) to get 5(3), which is 15. 15 is a rational number.
Answer:
\(3\sqrt{25}\) is a rational number. \(3\sqrt{25}=3*(5)=15\), hence it is rational. A rational number is a number that can be represented as the fraction of 2 integers and, as you may tell, you can form an infinite number of fractions that equal 15 using integer numbers.
what is A slope? explain:
Answer:
Slope is the steepness of a line as it moves from LEFT to RIGHT. Slope is the ratio of the rise, the vertical change, to the run, the horizontal change of a line. The slope of a line is always constant (it never changes) no matter what 2 points on the line you choose.
2.
Elena has a
pet parakeet that weighs 6 when measured in one unit and
170 when measured in a different unit. Which measurement is in ounces,
and which is in grams?
170
Measurement of weight 6 is in ounces and the measurement of weight 170 is in grams.
What is measurement?
An object or event's attributes are quantified through measurement so that they can be compared to those of other things or events. Measurement, then, is the process of establishing how big or small a physical quantity is in relation to a fundamental reference quantity of the same kind.
Given:
Elena has a pet parakeet that weighs 6 when measured in one unit and
170 when measured in a different unit.
We have to find the correct units from grams and ounces for these.
We know that, 1 ounce is greater than 1 gram.
1 ounce = 28.3495 grams
Multiply both sides by 6.
6 ounces = 170.097 grams
Approximate the values to the nearest whole number.
6 ounces = 170 grams
Therefore, 6 ounces = 170 grams.
Hence, measurement of weight 6 is in ounces and the measurement of weight 170 is in grams.
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Select the correct months.
The balance of Jim's account on the first day of the month for the first six months of 2013 is given. Identify the months when the balance was
less than the balance in January.
Please answer.
Answer:
June I got u bro it was easy but there u got
Answer:
june,april,march
Step-by-step explanation:
yeeeeeeeeeeeeeeee i <3 waaaaaaaaafuls
Carol decorated a cylinder by placing a 3 inch wide striped ribbon around its curved surface the cylinder has a radius of 3 in and a height of 3 in
Answer:
28.26
Step-by-step explanation:
radius-3
height-3
pi-3.14
If you are starting with what you know about a large population and coming to a conclusion about a specific scenario, then which type of reasoning are you using?
Answer:
Education –> Mortality –> Fertility rates
Education –> Fertility rates
Step-by-step explanation:
Education and fertility is a key role to grow a large population. But if the mortality rate is low families tend to have less children.
Write an explicit formula for an, the nth term of the sequence 30, 35, 40
Answer:
The sequence is increasing by 5 at each step. So, we can write:
a1 = 30
a2 = 30 + 5 = 35
a3 = 30 + 25 = 40
a4 = 30 + 35 = 45
a5 = 30 + 4*5 = 50
We notice that the nth term is given by:
an = 30 + (n-1)5
So, the explicit formula for the nth term is:
an = 25n + 5
Bandhan Bank employee salary after 10 years
Answer:
- Banking Operations salary in India with less than 1 year of experience to 10 years ranges from ₹ 1.4 Lakhs to ₹ 7 Lakhs with an average annual salary of ₹ 3.1 Lakhs based on 261 latest salaries
(URGENT)An engineer has a 40:1 scale drawing of a bridge. The dimensions of the scaled bridge deck are 24 inches by four and four fifths inches. What is the area of the actual bridge deck in square feet?
460 square feet
640 square feet
960 square feet
1,280 square feet
The area οf the actual bridge deck in square feet is 1,280 square feet.
What is Area?Area refers tο the measurement οf the size οf a twο-dimensiοnal surface, usually measured in square units such as square inches, square feet, οr square meters. It represents the amοunt οf space that is inside the bοundary οf a flat οbject οr shape.
The scale οf the drawing is 40:1, which means that the dimensiοns οf the scaled bridge deck are 40 times smaller than the actual bridge deck. Tο find the area οf the actual bridge deck in square feet, we need tο cοnvert the dimensiοns οf the scaled bridge deck frοm inches tο feet and then multiply by the square οf the scale factοr (40² = 1600).
The dimensiοns οf the scaled bridge deck in feet are:
24 inches = 2 feet
4 and 4/5 inches = 0.4 feet
Sο, the area οf the scaled bridge deck in square feet is:
2 feet x 0.4 feet = 0.8 square feet
Tο find the area οf the actual bridge deck in square feet, we need tο multiply the area οf the scaled bridge deck by the square οf the scale factοr:
Area οf actual bridge deck = 0.8 square feet x (40²) = 1280 square feet
Therefοre, the area οf the actual bridge deck in square feet is 1,280 square feet.
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Answer:
Step-by-step explanation:
The scale factor indicates the actual bridge is 40 times larger than the drawing.
Increase the scale dimensions by the factor of 40.
24 times 40 = 960"
4.8 times 40 = 192" (I changed 4 4/5 to 4.8)
Area = length times width
960 times 192 = 184320 sq inches actual bridge deck in square inches
Divide 183320 by 144 (sq inches in a square foot) = 1280 sq feet
9+12m=6+15(m-1) simplifies At how many months the prices are the same
Answer:
m=6
Step-by-step explanation:
We are given that an equation
\(9+12m=6+15(m-1)\)
We have to find the value of m for which prices are the same.
\(9+12m=6+15m-15\)
\(9-6+12m=15m-15\)
Using subtractive property of equality
\(3+12m+15=15m\)
Using addition property of equality
\(12m+18=15m\)
\(18=15m-12m\)
Using subtractive property of equality
\(18=3m\)
\(m=\frac{18}{3}=6\)
Using division property of equality