The total amounts of money which Mrs. Reynolds now has according to the descriptions in the task content is; $68.
How much does Mrs. Reynolds have now?It follows from the task content that;
Together 105 and m are equal to 153.20 and m is equal to s.On this note;
105 + m = 153m = 153 -105 = 48Hence, it follows that the amount of money, s she has now is;
s = 48 + 20 = $68Read more on addition and subtraction;
https://brainly.com/question/25421984
What is the slope-intercept equation for this line?
--1
y = [?]=x +
Enter the correct
symbol,+ or -.
-2
-3
Answer:
y = -1/2x - 2
Step-by-step explanation:
Slope Intercept form: y=mx+b
You need to find the slope and y-intercept.
(0,-2) is the y-intercept which is the point on the y-axis that is intersected by the linear equation which is our slope line.
Now, we need to find our slope.
*This line is a negative slope*
Starting at our y-intercept [ (0,-2) ] we need to go to a point where the line intersects.
The red dot on the coordinate plane clearly represents it.
(2,-3) is the red point in which we need to go down 1 and over 2 to get there.
So our slope should be -1 / 2
Lastly, write in slope-intercept form:
y = -1/2x - 2
There are 62 seats on a train. 31 of the seats are empty. What percentage of the seats on the train are empty?
Answer:
50%
Step-by-step explanation:
31/62 of the train seats are empty,meaning there is 50%
Find the value of x in the figure.
The value of the missing variable x in the diagram is; 4
How to find the side length of a similar triangle?In mathematics, two triangles are said to be similar provided that they have the same ratio of corresponding sides and equal pair of corresponding angles.
Now, from the given image, we can see that DE bisects AC into 2 equal parts and by virtue of the concept of similar triangles, we can say that;
DE/BC = 1/2
We are given;
DE = x + 1
BC = 4x - 6
Thus;
(x + 1)/(4x - 6) = 1/2
Cross multiply to get;
2x + 2 = 4x - 6
4x - 2x = 6 + 2
2x = 8
x = 4
That value of x is the missing value required in conclusion.
Read more about similar triangles at; https://brainly.com/question/14285697
#SPJ1
I NEED HELP WITH PERCENT PROBLEM
Answer:
76$
Step-by-step explanation:
114=.6y; y= original price
y=190, original price
190-114=76
If the sides of a triangle are 8 and 11 in units and the angle between them is 37 degrees, then the length of the third side is: Options :
A 6.1 B 6.4 C 6.7 D 6.9
The question is an illustration of the laws of cosine, the length of the third side is 6.7 units
How to determine the third side?The measure of the third side is calculated using the following law of cosine
a^2 = b^2 + c^2 - 2bc * cos(A)
So, we have:
a^2 = 8^2 + 11^2 - 2 * 8 * 11 * cos(37)
Evaluate the expression
a^2 = 44.44
Take the square root of both sides
a = 6.7
Hence, the length of the third side is 6.7 units
#SPJ1
Read more about triangles at:
https://brainly.com/question/2217700
what is the area of the figure
Answer:
112.5ft^2
Step-by-step explanation:
10 x 9 = 90
9 × 5 × .5 = 22.5
90 + 22.5 = 112.5
At the local aquarium, the average weight of the whale shark, the
aquarium's largest fish, is 25 tons. The average weight of the dolphin is
330 pounds. If there is 1 whale shark and 2 dolphins in one of the fish
tanks, how much do they weigh all together in pounds?
Natalie makes potato cakes in a restaurant.
She mixes potato, cheese and onion so that
weight of potato:weight of cheese :weight of onion = 9: 2:1
Natalie needs to make 6000g of potato cakes.
Cheese costs £2.25 for 175 g.
Work out the cost of the cheese needed to make 6000g of potato cakes
A ratio shows us the number of times a number contains another number. The cost of cheese that is needed to make 6000g of potato cake is £12.86.
What is a Ratio?A ratio shows us the number of times a number contains another number.
Given that the ratio of the ingredients is,
weight of potato: weight of cheese: weight of onion = 9: 2:1
Let the ingredients be mixed in the quantity 9x, 2x, and 1x, for 6000g of potato cake. Therefore, the value of x can be written as,
[tex]9x+2x+1x = 6000\\\\12x = 6000\\\\x = 500[/tex]
Hence, the value of x is 500.
Thus, the amount of cheese that will be needed is 2x,
[tex]2x = 2 \times (500) = 1000g[/tex]
Given that the cost of 175g of cheese is £2.25, therefore, the cost of 1g of cheese will be,
[tex]\text{Cost of 1g cheese} = \£\dfrac{ 2.25}{175}[/tex]
Now, the cost of 1000g of cheese will be,
[tex]\text{Cost of 1000g cheese} = 1000\times \£\dfrac{ 2.25}{175} = \£12.86[/tex]
Hence, the cost of cheese that is needed to make 6000g of potato cake is £12.86.
Learn more about Ratios:
https://brainly.com/question/1504221
#SPJ1
Find the perimeter of a triangle with sides 11 inches and 5 inches and 13 inches x
Answer:
29
Step-by-step explanation:
Perimeter of a triangle is the total of sides a+b+c
11+5+13=29
Pendulum A is 20 cm long and has a 5 g mass on it. Pendulum B is 30 cm long and has a 10 g mass on it. Which one has a faster period?
plot the points on the coordinate plane and answer the questions k (11,...),L(....,11), and M(40,....) are on that line, too what are the missing coordinates
The missing coordinates on the line after plotting the points are k(11, 0), L(0, 11) and M(40, 40).
Plotting the points on the coordinate planes
The points can be plotted on coordinate planes as shown below in the graph uploaded.
The missing coordinates are determined as follows;
k (11, 0)L (0, 11)M (40, 40)Thus, the missing coordinates on the line after plotting the points are k(11, 0), L(0, 11) and M(40, 40).
Learn more about coordinates here: https://brainly.com/question/17206319
#SPJ1
3 of 8
If x = -8 and y = 4, evaluate the
-
following expressions:
i) (4y)² - (2x)²=
ii) 4y²– 2x²=
Answer:
Step-by-step explanation:
i) (4*4)^2-(2(-8))^2=256-(16)^2=256-256=0
ii) (4*16)-2*(-8)^2=64- 2(16)= 64-32=32
On friday there were x students at a baseball game. On monday there were half as many students than on friday on Wednesday, there were 32 fewer students at the game as there were on friday which expression could represent the total number of tickets sold for all 3 games
Answer:
1.5x - 32
Step-by-step explanation:
friday = x
0.5x = monday
and
x-32 = friday
in total
1.5x-32
In the problem 7/10 – 3/4, what is the LCM you can use as the denominator in both fractions?
1 ) Multiply the largest number (10) by 1.
Can the smallest (4) go into this number evenly?
10 x 1 = 10
10/4 = 2.5 ❌
2 ) Now multiply the largest number by 2.
Can the smallest go into this number evenly?
10 x 2 = 20
20/4 = 5 ✅
The LCD is 20
BRAINLIEST please if this helped!The total debts to total assets ratio of Ranford Co. was .29. The total of Ranford's assets was $200,000. What's the amount of total debt to the company?
A. $68,000
B. $75,000
C. $58,000
D. $65,000
Multiply assets by ratio
200,000 x 0.29 = $58,000
answer: c. $58,000
(06.01)Four graphs are shown below:
Which graph represents a negative linear association between x and y?
Graph A
Graph B
Graph C
Graph D
You measure 20 dogs' weights, and find they have a mean weight of 41 ounces. Assume the population standard deviation is 11.9 ounces. Based on this, what is the maximal margin of error associated with a 99% confidence interval for the true population mean dog weight.
Give your answer as a decimal, to two places
Answer:
(34.15, 47.85)
Step-by-step explanation:
[tex]n = (\frac{z*stddev}{ME} )^{2}[/tex]
stddev = 11.9
z = invNorm(
area = (1 + confidence interval)/2
mean = 0
stddev = 1
)
= invNorm(
0.995
0
1
)
≈ 2.576
n = 20
square root both sides
[tex]\sqrt{20} = 2.576 * 11.9 / ME[/tex]
multiply both sides by ME, divide both sides by √20 to isolate ME
ME = 2.576 * 11.9/√20
≈ 6.85
interval = mean ± ME
= (41-6.85, 41+6.85)
= (34.15, 47.85)
The total number of pears and oranges in a basket is between 30 and 40 . There are 25% more apple than orange how many apples are there in a basket
The number of apples there are in the basket as described in the task content is; 20 apples.
What is the number of apples there are in the basket?Inference drawn from the task content show that;
The ratio of apples to oranges in the basket is; 5:4. making the total partitions be 9.On this note, we must identify a number divisible by 9 between 30 and 40.
The number is 36 and once divided by 9 is 4 units per partition.
On this note, the total number of apples in the basket is; 4 × 5 = 20 apples.
Read more on ratios;
https://brainly.com/question/13513438
#SPJ1
Please help around 60 points
Answer:
i don't know do you play any games
Can anyone tell me the standard form of this parabola equation?
4y^2-x-24y+30=0
And this Circle equation in standard form.
2x^2+2y^2-18x-10y+7=0
Answer:
[tex]x=4y^2-24y+30[/tex]
[tex](x-4.5)^2+(y-2.5)^2=23[/tex]
Step-by-step explanation:
Standard form of a sideways parabola: [tex]x=ay^2+by+c[/tex]
Given equation:
[tex]4y^2-x-24y+30=0[/tex]
Add x to both sides:
[tex]4y^2-24y+30=x[/tex]
[tex]\implies x=4y^2-24y+30[/tex]
--------------------------------------------------------------------------------------------
Standard form of circle equation
[tex](x-a)^2+(y-b)^2=r^2[/tex]
(where (a,b) is the center and r is the radius)
Given equation:
[tex]2x^2+2y^2-18x-10y+7=0[/tex]
Group like terms:
[tex]2x^2-18x+2y^2-10y+7=0[/tex]
Divide by 2:
[tex]x^2-9x+y^2-5y+3.5=0[/tex]
Factor by completing the square for each variable:
[tex](x-4.5)^2-20.25+(y-2.5)^2-6.25+3.5=0[/tex]
Rearrange into standard form:
[tex](x-4.5)^2+(y-2.5)^2=23[/tex]
Therefore, the circle has a center at (4.5, 2.5) and a radius of √23
3x-4=8 what does X equal to?
Hey there,
Solve the equation:
Answer :x = 4 ✅
Explanations :3x - 4 = 8
>> Add 4 to both sides :
3x - 4 + 4 = 8 + 4
3x = 12
>> Divide both sides by 3 :
3x/3 = 12/3
Therefore, your answer is x = 4
More about equations:
https://brainly.com/question/27460957
Have a good day ;)
Answer:
x = 4
Step-by-step explanation:
Given equation:
3x - 4 = 8To determine the value of "x", we need to isolate the "x" variable and it's coefficient. This can be done by adding 4 to both sides of the equation.
⇒ 3x - 4 + 4 = 8 + 4⇒ 3x = 12The next step in determining the "x" variable is to isolate the coefficient from the "x" variable. This can be done by dividing 3 both sides of the equation.
⇒ 3x/3 = 12/3⇒ x = 4Therefore, the solution (x) is 4.
9.
Modeling Real Life Owls see an
object with both eyes at the same
time using binocular vision. What angle
measure describes the owl's binocular
vision? Explain.
binocular
vision
left
right
monocular,
monocular '
vision
vision
110°
The field of view for an owl is about 110 degrees, with about 70 degrees being binocular vision. By comparison, humans have a field of view that covers 180 degrees, with 140 degrees being binocular. A woodcock has an amazing 360 degree field of view, because its eyes are on the side of its head.
Slope-intercept form that passes through (9, 3) and has a slope of -
Step-by-step explanation:
Let m and c be the slope and y-intercept respectively,
(y-3)/(x-9) = m
y-3 = mx-9m
y= mx - 9m+3
y = mx + 3(1-3m)
Cheryl and her sister Diane walk to school along the same route. Cheryl walks at an average of
80 steps per min while Diane walks at an average of 90 steps per min. Cheryl takes steps
of 81 cm each. She takes 12 min to walk to school.
a) What is the distance between their house and the school (Give your answer in metres) ?
metres
b) If each of Diane's steps in 72 cm, how long does Diane take to walk to school?
minutes
c) If Diane takes 16 min to walk to school, how long is each of her steps?
The distance between their house and the school from the information given will be 777.60 meters.
How to calculate the distance?The distance between their house and the school will be:
= 80 × 81 × 12
= 77760cm
= 777.60 meters.
When Diane takes 16 min to walk to school, the length of her steps will be:
= 77760/(16 × 90)
= 54 cm
Learn more about distance on:
https://brainly.com/question/17273444
#SPJ1
What’s the median for 28,30,30,30,30,31,31,31,31,31,31,31,31
Answer:
31
Step-by-step explanation:
The median is the number that we find in the middle of the data.
So if we have a sequence of {1,2,3}
Then 2 is the median
If we have a sequence of {1,2,3,4,5}
Then 3 is the median
We look in the middle of 28,30,30,30,30,31,31,31,31,31,31,31,31
and we find 31 in the middle.
Note:
If the middle is something with 2 terms in the middle like
1,2,3,4
Then the median is the average of the two middle terms which is
(2+3)/2 = 2.5
Suppose your salary in 2013 is $75,000. If the annual inflation is 6%, what salary do you need to make in 2022 in order for it to keep up with inflation? Round your answer to the nearest cent, if necessary
Answer:
79500.00
Step-by-step explanation:
75000(1 + .06) = 79500
Your car was worth $50,000 when you bought it. It depreciates in value by 1.6% continuously. How much is your car worth in 5 years? ( round to the nearest cent (2 decimal places) )
Answer:
[tex]5 {6y6494y5y5yx \sqrt[454x54 {149 { \\ \\ }^{ \\ } }^{2} ]{?} }^{?} [/tex]
Anthony is calculating how high a ball is thrown. He has determined the function h(t) = -16t² + 20t + 4 to
represent the height of the ball in feet over t seconds. He wants his final answer to be in inches. He knows that the
function N(f) = 12f will convert f feet into inches. Compose the functions so that he has one equation to determine
the number of inches high the ball will be over t seconds.
Answer:
N(t) = -192t² +240t +48
Step-by-step explanation:
The composition of functions will be created by using the height function as the argument of the units conversion function.
__
N(f) = N(h(t)) = 12(-16t² +20t +4) . . . replace f with h(t)
N(t) = -192t² +240t +48 . . . . . simplify
The market sells 1 dozen bagels
for $7.00. The bagel shop sells
bagels for $0.60 each. Which is
the better buy?
Answer:
market
Step-by-step explanation:
Market
1 dozen bagels = 12 bagels
⇒ Cost per bagel = $7.00 ÷ 12 = $0.58 (nearest cent)
Bagel shop
Cost per bagel = $0.60
As $0.58 < $0.60 the market is a better buy
What is x .
ABC~ DEF
Answer:
Dado, △ABC∼△DEF
Por lo tanto
DE
=
EF
A.C
=
FD
CA
Así que
18
2x−1
=
3x+9
2x+2
=
6x
3x
Ahora tomando
18
2x−1
=
6x
3x
tenemos
18
2x−1
=
2
1
o 4x−2=18 o x=5
Por lo tanto, AB=2×5−1=9,
BC=2×5+2=12,CA=3×5=15,
DE=18,EF=3×5+9=24
y FD=6×5=30
Por lo tanto
AB = 9 cm, BC = 12 cm, CA = 15 cm, DE = 18 cm, EF = 24 cm y FD = 30 cm
: