The price of an item yesterday was $120. Today, the price rose to $294. Find the percentage increase.
Answer:
145%.
Step-by-step explanation:
Given that the price of an item yesterday was $120, and today, the price rose to $294, in order to find the percentage increase, the following calculation has to be made:
120 = 100
294 = X
((294 x 100) / 120) = X
29,400 / 120 = X
245 = X
245 - 100 = 145
Therefore, the percentage increase of the product was of 145%.
You start driving north for 24 miles, turn right, and drive east for another 10 miles. At
the end of driving, what is your straight line distance from your starting point?
Answer:
26 miles.
Step-by-step explanation:
To solve this problem, the Pythagorean theorem must be applied, which states that the hypotenuse squared of every right triangle is equal to the sum of its squared legs, that is, A^2 + B^2 = C^2 .
Therefore, applying this formula, to determine the distance in a straight line from the starting point to the driving end point, the following calculation must be performed:
24^2 + 10^2 = X^2
576 + 100 = X^2
√676 = X
26 = X
Thus, the distance between the two points is 26 miles.
When Daria gets to school, the temperature is 5.7°F. The temperature changes by 29.5°F by the time she goes to bed. What is the temperature when Daria goes to bed? Show your work.
How old is Abraham How old is Abraham Lincoln
Answer:
Abraham Lincoln was 56 years old when he died.
Step-by-step explanation:
Suppose that at Northside High, the number of hours per week that seniors spend on homework is approximately Normally distributed with a mean of 18.6 and a standard deviation of 6. We take a random sample of 36 seniors. What is the mean and standard deviation of the sampling distribution for the 36 students?
Answer:
The mean and standard deviation of the sampling distribution for the 36 students will be:
Mean = 18.6
Standard deviation = 6
Step-by-step explanation:
The mean and standard deviation of the sampling distribution is equal to the population mean and standard deviation respectively. The only difference is that the population mean and standard deviation are parameters or fixed values calculated from every individual in the population, while the sample mean and standard deviation are statistics. Statistics are calculated from only some of the individuals in a population. They are meant to represent or approximate the population parameters.
34% of 480
3 1/2 of 480
Answer:
34% of 480=34/100×480=163.2
3 1/2 of 480=7/2×480=1680
The polygons are regular. Find the degree measure of y.
Answer:
ajjvtjeiqwchiedgvgfeggyryftyyyug ytugttbghg
Select all the equations where x = 3 is a solution.
Choose 2 answers:
3
5-2= 2
82 = 32
22 - 10 = 7
Segment AB is dilated from the origin to create segment A prime B prime at A' (0, 4) and B' (4, 6). What scale factor was segment AB dilated by?
Answer choices:
A. 1/2
B. 2
C. 3
D.4
Given:
Endpoint of segment AB are A(0,2), B(2,3).
Segment AB is dilated from the origin to create segment A prime B prime at A' (0, 4) and B' (4, 6).
To find:
The scale factor of dilation.
Solution:
If a figure is dilated about the origin with factor k, then
[tex](x,y)\to (kx,ky)[/tex]
Using this rule, we get
[tex]A(0,2)\to A'(k(0),k(2))[/tex]
[tex]A(0,2)\to A'(0,2k)[/tex]
So, the image of A is A'(0,2k).
It is given that image of A is A'(0,4). So,
[tex]A'(0,2k)=A'(0,4)[/tex]
On comparing the y-coordinates from both sides, we get
[tex]2k=4[/tex]
[tex]k=\dfrac{4}{2}[/tex]
[tex]k=2[/tex]
Therefore, the scale factor is 2 and the correct option is B.
Dilation involves changing the size of a line
The scale factor is 2.
From the graph, the coordinates of AB are:
[tex]\mathbf{A = (0,2)}[/tex]
[tex]\mathbf{B = (2,3)}[/tex]
The coordinates of AB are:
[tex]\mathbf{A' = (0,4)}[/tex]
[tex]\mathbf{B' = (4,6)}[/tex]
Divide A' by A or B' by B to calculate the scale ratio (k)
[tex]\mathbf{k = \frac{A'}{A}}[/tex]
So, we have:
[tex]\mathbf{k = \frac{(0,4)}{(0,2)}}[/tex]
Expand
[tex]\mathbf{k = \frac{2(0,2)}{(0,2)}}\\[/tex]
Divide
[tex]\mathbf{k = 2}\\\\\\\\[/tex]
Hence, the scale factor is 2.
Read more about scale factors at:
https://brainly.com/question/16713785
What is the cos A? ....
Answer:
4/5
Step-by-step explanation:
Solve the system of linear equations by substitution.
−5x+y=−7
−3x−2y=−12
Please help I'm having panic attacks about failing this test and failing the class this is my last test and I have a C please help
Answer:
[tex]x = 2 \\ y = 3[/tex]
[tex] - 5x + y = - 7.......(1) \\ - 3x - 2y = - 12......(2) \\ from \: (1) \\ y = - 7 + 5x \\ substitute \: in \: (2) \\ - 3x - 2( - 7 + 5x) = - 12 \\ - 3x + 14 - 10x = - 12 \\ [/tex]
[tex] - 13x = - 26 \\ x = \frac{ 26}{13} \\ x = 2[/tex]
[tex]y = - 7 + 5x \\ = - 7 + 5 \times 2 \\ = - 7 + 10 \\ y= 3[/tex]
Which of the following statements about this function's domain is true?
A.) Domain: 0≤x≤16 and 0
The domain represents all of the values that were measured in this problem.
B.) Domain: 0≤y≤16
The domain represents the set of all possible inputs - the times when depth was measured.
C.) Domain: 0
The domain represents the set of all possible outputs - the various depths of the pool.
D.) Domain: 0≤x≤16
The domain represents the set of all possible inputs - the times when depth was measured.
Answer:
D.) Domain: 0≤x≤16
The domain represents the set of all possible inputs - the times when depth was measured
Step-by-step explanation:
Domain of a function is the possible set of inputs which are usually plotted on the x-axis, while range are corresponding outputs plotted on the y-axis.
In this case, the domain is the set of all possible inputs (x-values), which represents the times the depth was measured.
Domain ranges from 0 to 16. Thus:
Domain: 0 ≤ x ≤ 16
MARKING THE BEST. help out.
Answer:
9h + 1
Step-by-step explanation:
36h + 4 divided by 4 is 9h + 1
Rewrite the following polynomial in standard form
Answer:
-7x³ - ⅑x - 1
Step-by-step explanation:
A polynomial written in standard form would be written in such a way that the term with the highest degree comes first, followed by the second highest and so on, then what comes last is the constant.
Given the polynomial -7x³ - 1 - ⅑x, -7x³ with the highest degree comes first, followed by -⅑x, and then the constant, -1, comes last.
Thus, we would have:
✅-7x³ - ⅑x - 1
The area of square ABCD is 144 square units. The area of square EFGH is 64 square
units. HE AB and GE BC. The blue area is three times the red area. Find the area
of AHBG.
Answer:
80
Step-by-step explanation:
Answer: 24
Step-by-step explanation:
144-24=120
64-24=40
40*3=120 three times smaller
Write the following rate in simplest forms.
1. 333 calories burned in 55 minutes.
2. 4 million hits on a website in 16 months.
3. 279 points in 27 games.
4. $49 for 448 photos.
5. 6 pounds of zucchini for 24 servings.
can be used to compare changes from one period to another.
a) Decimals
b) Fractions
c) Percentages
d) Digits
Answer:
c) Percentages
Step-by-step explanation:
Percentages can be used to compare changes from one period to another.
In calculating a percentage change, either a percentage increase or percentage decrease, we must have both the new and old measurement of the specific quantity.
For example, let's find percentage increase of the number of students that joined a book club using the parameters below;
Original number of students = 32
New number of students = 36
We will calculate the increase using;
[tex] Increase = original \; number - new \; number [/tex]
Substituting the values, we have;
Increase = 36 - 32 = 4
[tex] Percentage \; increase = \frac{increase}{original \; number} * 100[/tex]
[tex] Percentage \; increase = \frac{4}{32} * 100[/tex]
[tex] Percentage \; increase = 0.125 * 100[/tex]
Percentage increase = 12.5%
Therefore, the number of students in the school club increased by 12.5%.
You have a map of Southern California. If the distance between
Mrs. Clough's house and Badger Springs middle school on the map
is 3 inches, and the scale is 2 inches represents 12 miles, how far is
the actual distance from Mrs. Clough's house to school.
9514 1404 393
Answer:
18 miles
Step-by-step explanation:
The map distance and ground distance are proportional.
(distance to school)/(3 in) = (12 miles)/(2 in)
Multiplying by 3 in gives ...
distance to school = (12 miles)(3/2) = 18 miles
what is the answer at the bottom?
Answer:
15n
Step-by-step explanation:
Since it is 15 samples per day, you just need to multiple 15 by the number of days.
Which of the following are mathematical sentences? Check all that apply.
A. 144 +7
B. X-49
c. 4
D. 5g=31
E. 3>2
F. 1+12 = x
HELP Ross drives 402 miles in 6 hours. If Ross continues to drive at the same rate, how many miles can he drive in 12 hours? A. 804 B. 1,608 C. 335 D. 780
Answer:
804
Step-by-step explanation:
multiply 402 by 2
12÷2=6
6=402miles
402×2=804
#gamer
The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is five times the measure of the first angle. The third angle is 10 more than the second.
Answer:
first angle be 30°
second angle be 70°
third angle be 80°
Step-by-step explanation:
first angle be x
second angle be y
third angle be z
x+y+z=180
given, y+z = 5x; z=5x-y
also, z=y+10
5x-y = y+10
5x= 10+y+y = 10+2y
x= (10+2y)/5
x+y+z=180
(10+2y)/5 + y + y+10 = 180
(10+2y)/5 = 180 -2y -10
(10+2y)/5 = 170-2y
multiply both sides by 5
10+2y = 5(170-2y)
10+2y= 850-10y
2y+10y = 850-10
12y= 840
y= 840/12 = 70°
z=y+10 =70+10= 80°
5x= (10+2y) = 10+2(70) = 10+140= 150
x = 150/5 = 30°
what is 473.2608 rounded to the nearest tenth
Answer:
473.2608 rounded to the nearest tenth Is 473.3
Step-by-step explanation:
find m< 4 in degrees
Answer:
m < 4 = 120
Step-by-step explanation:
When two anlges are supplementary, their angle measures add up to 180, apply this knowledge here;
m<3 + m<4 = 180
60 + m<4 = 180
m<4 = 120
Answer:
120
Step-by-step explanation:
m<3 is 60 and 180-60=120
14 ÷ 3/8
I need help plis :(
Answer:
[tex]\frac{112}{3}[/tex]
Step-by-step explanation:
14 ÷ 3/8 = 14 • 8/3
= 112/3
Answer:
37 1/3
Step-by-step explanation:
use Keep Change Flip when dividing with fractions! :) It's helpful
for example: 14 ÷ 3/8
14 (keep as 14)
* (change to multiplication)
8/3 (flip the fraction)
14 times 8/3= 37 1/3
Plz Help!
This triangle has one side that lies on an extended line segment.
Based on this triangle, what statement about x is true?
x= 33 because 180 – 147 = 33
x = 62 because 147 – 85 = 62 and 85 + 62 = 147
x = 95 because 180 – 85 = 95 and 85 + 95 = 180
x = 118 because
180 147 + 85
33 + 85
=118
Answer:
B. x = 62 because 147 – 85 = 62 and 85 + 62 = 147
Step-by-step explanation:
We are given that
[tex]\angle ABC=85^{\circ}[/tex]
Exterior angle=[tex]147^{\circ}[/tex]
We have to find the value of x.
We know that
Exterior angle=Sum of opposite interior angles of triangle
Using the property
[tex]x+85=147[/tex]
Subtract 85 from both sides we get
[tex]x=147-85[/tex]
[tex]x=62[/tex]
Option B is true.
B. x = 62 because 147 – 85 = 62 and 85 + 62 = 147
What are the domain restrictions of q^2-3q-4/q^2-7q-8
Need help with math who is up points and brainlest for you !!
Answer:
8ft
Step-by-step explanation:
Use similarity and congruence
AB/ED=AC/EF
3/6=4/X
CROSS MULTIPLICATION
3X=6*4
3X=24
X=8ft
How do you simplify?
Will give brainliest for CORRECT answer
The person above is correct give them brainliest
The Miller family likes to paddle along the North River.
1. They paddled the same distance each day throughout the course of 3 days, traveling a total of 14 miles. How many miles did they travel each day ?
write the mixed number you got
4 2/3 think of how many time you can put 3 into 14 the section out the rest
Answer:
4 2/3
Step-by-step explanation:
the millers travled 4 2/3