Answer:
7.2
Step-by-step explanation:
Distance between (4, 3) and (8, 9):
[tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
[tex] d = \sqrt{(8 - 4)^2 + (9 - 3)^2} [/tex]
[tex] d = \sqrt{(4)^2 + (6)^2} [/tex]
[tex] d = \sqrt{16 + 36} [/tex]
[tex] d = \sqrt{52} = 7.2 [/tex] (nearest tenth)
How much water do you add to make 12% sugar syrup using 5g sugar.
Answer:
You know that 5 g of sugar form 12%. Let x g be the amount of water needed. The total amount of syrup will be x+5 g. Then
5 g - 12%,
x+5 g - 100%.
mathematically you can write a proportion;
5/x+5=12/100
=>500=12(x+5)
,500=12x+60
,12x=400,
x=440/12
=110/3
=36 2/3g of water36.66 grams of water is added to make 12% sugar syrup using 5g sugar.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Let the amount of water is added be 'x'.
Amount of sugar = 5 g
We need to make 12% of sugar syrup.
x grams of water is added to 5 g of sugar, to 12% of sugar syrup.
5/5+x=12/100
Apply cross multiplication
5×100=12(5+x)
500=60+12x
Subtract 60 from both sides
440=12x
Divide both sides by 12
x=36.66
Hence, 36.66 grams of water is added to make 12% sugar syrup using 5g sugar.
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HELP ME PLSSSS I NEED HELP PLSSSS
Answer:
8.9 units
Step-by-step explanation:
Distance between (3, -2) and (7, 6) using distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex].
Let,
[tex] (3, -2) = (x_1, y_1) [/tex]
[tex] (7, 6) = (x_2, y_2) [/tex]
Plug in the values
[tex] d = \sqrt{(7 - 3)^2 + (6 - (-2))^2} [/tex]
[tex] d = \sqrt{(4)^2 + (8)^2} [/tex]
[tex] d = \sqrt{16+ 64} [/tex]
[tex] d = \sqrt{80} = 8.9 [/tex] (nearest tenth)
Answer:
8 point 9
i know
(05.05 LC) A right rectangular prism is shown. What shape best describes the cross section cut perpendicular to the base of a right rectangular prism? Parallelogram Trapezoid Rectangle Square
Answer:
Since the cross section is constrained to be perpendicular to the base, the shape of it is constrained to be a Rectangle
Step-by-step explanation:
That rectangle may be a square, but is not required to be.
Answer:
C. RectangleStep-by-step explanation:
Any cross section that is perpendicular to the base will result in rectangular shape
Correct choice is C
In which relationship is the constant of proportionality 1/3?
Answer:
C
Step-by-step explanation:
y is proportional to x, and constant of proportionality is ⅓:
y = ⅓x
Plz hurry it’s urgent Thank you
Answer:
C. There are no factors of 3 that add up to -15
Step-by-step explanation:
N/A
What is 13 x 7? Show your work!
Answer:
91
Step-by-step explanation:
This is the answer, I took a pic of the work
Answer:
91
Step-by-step explanation:
2
13x
7
-------
9 1
7 X 3 = 21
7×1 =7
7+2 =8
8+1 = 9
The vertices of a square are located at (0,2)(2,0)(0,-2) and (-2,0) select all transformations that will carry this square onto itself
A. Reflection across the line y= x
B. Reflection of costs the line Y = -x
C. Reflection across the X axis
D. 45° rotation about the origin
E. 90° rotation about the origin
Help me please!!
What is the solution to this system of equations?
Answer:
as the two lines are parallel to one another, they do not intersect (connect) at any point. therefore there is no solution and it is an INCONSISTENT SYSTEM.
Step-by-step explanation:
1 is ____% of 60
put random things at the end because it needs 20 characters
a man goes 10m east and 24m north find the distance between the initial and find the position
The ratio of berries to oranges is 10:1 if there are 25 oranges how many berries are there
Answer:
250 berries
Step-by-step explanation:
We know that the ratio of berries to oranges is 10:1. This ratio tells us, for every one orange, there should be ten berries. But, now we have 25 oranges:
For every orange there are ten berries, and since we have 25 oranges, we can write an expression:
25 oranges * 10 = 250 berries
There are 250 berries.
I hope this helps! Please let me know if you have any further questions :)
A mother gives birth to a 6 pound baby. Every 2 months, the baby gains 5 pounds. If x is the age of the baby in months, then y is the weight of the baby in pounds. Find an equation of a line in the form y = mx + b that describes the baby's weight. Y = _____________________
Answer:
y=2.5x+6
Step-by-step explanation:
y= weight
6 is the weight that the baby is born so you would add it to the end making it the b
5 pounds every 2 months so 2.5 pounds every 1 month.
The linear equation model is y = 2.5x+6.
What is the Linear equation?A linear equation is defined as an equation in which the highest power of the variable is always one.
The slope-intercept form is y = mx+c, where the slope is m and the y-intercept is c.
Given that mother gives birth to a 6-pound baby. Every 2 months, the baby gains 5 pounds
We have to determine an equation of a line in the form y = mx + b that describes the baby's weight.
If x is the age of the baby in months, then y is the weight of the baby in pounds.
Since 5 pounds every 2 months
Therefore 2.5 pounds every 1 month.
We would add 6 at the end of the equation, which would result in the birth weight.
Thus, the linear equation model is y = 2.5x+6.
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This rectangle has 9 straight Lines and 14 squares.
Can you find them?
Answer:two dimensional shapes
Step-by-step explanation:
The Ice Chalet offers dozens of different beginning ice-skating classes. All of the class names are put into a bucket. The 5 P.M., Monday night, ages 8 to 12, beginning ice-skating class was picked. In that class were 64 girls and 16 boys. Suppose that we are interested in the true proportion of girls, ages 8 to 12, in all beginning ice-skating classes at the Ice Chalet. Assume that the children in the selected class are a random sample of the population. Construct a 92% Confidence Interval for the true proportion of girls in the ages 8 to 12 beginning ice-skating classes at the Ice Chalet.
Answer:
The 92% Confidence Interval for the true proportion of girls in the ages 8 to 12 beginning ice-skating classes at the Ice Chalet is (0.722, 0.878).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
For this problem, we have that:
64 + 16 = 80 children, of which 80 are girls. So
[tex]n = 80, p = \frac{64}{80} = 0.8[/tex]
92% confidence level
So [tex]\alpha = 0.08[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.08}{2} = 0.96[/tex], so [tex]Z = 1.75[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.8 - 1.75\sqrt{\frac{0.8*0.2}{80}} = 0.722[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.8 + 1.75\sqrt{\frac{0.8*0.2}{80}} = 0.878[/tex]
The 92% Confidence Interval for the true proportion of girls in the ages 8 to 12 beginning ice-skating classes at the Ice Chalet is (0.722, 0.878).
hi what is the circumstances 3rd to be
Use the table to find the ratio. Enter the ratio as a fraction in simplest form.
Color of socks
Number of socks
white
6
black
9
blue
8
brown
4
The ratio of blue socks to nonblue socks is
How many bags of each cookie did Stephanie sell? How many total bags of cookies did she sell
12)
If a roll of painter's tape contains 14 feet of tape, what is the maximum
number of 1.75-foot pieces that can be cut from the roll?
A)
6
B)
7
8
D)
10
Answer:
8
Step-by-step explanation:
on usatestprep 2021
b) In a sunny day, the length of the shadow of a pole 30m long is equal to the
of the pole. After a while, it is found to be 51.96m long, find the altitude of the sun in both cases.
i have to find the missing, x/y values.
y=-2x-1
(4,y)
(x,1)
Answer:
x=1 y=-9
Step-by-step explanation:
plug the given x and y values into the equation
y=-2(4)-1
y=-8-1
y=-9
1=-2x-1
+1 +1
2=-2x
/2 /2
1=x
WORTH 15 POINTS 15) The Feldmans bought their first house for $20,000. Over the years they moved three times into bigger and bigger houses. Now, 37 years later, they are ready to retire and want a smaller house like the first one they bought. If inflation in property values has averaged 3.7% per year during that time, how much will such a house cost them now? (Round your answer to the nearest dollar.) Show your work!!
b. A window in the room has an actual width of 2.5 feet.
Find the width of the window in the blueprint.
Answer:
Blueprint width of window = 1.5 in
Step-by-step explanation:
Missing;
Ratio model
3 in : 5 ft
Given:
Actual width of window = 2.5 feet
Find:
Blueprint width of window
Computation:
Blueprint width of window = Actual width of window x (3 in / 5 ft)
Blueprint width of window = 2.5 ft x (3 in / 5 ft)
Blueprint width of window = 1.5 in
x varies directly with y. if y = -57 when x = 9, find x when y = 27.
Answer:
x = -81 / 19
Step-by-step explanation:
y = kx
-57 = 9k
k = -57/9 or -19/3
27 = [tex]\frac{-19x}{3}[/tex]
-19x = 81
x = -81 / 19
[tex]\\ \rm\bull\longmapsto x\propto y[/tex]
[tex]\\ \rm\bull\longmapsto x_1y_2=x_2y_1[/tex]
[tex]\\ \rm\bull\longmapsto x_2=x_1y_2\div y_1[/tex]
[tex]\\ \rm\bull\longmapsto x_2=\dfrac{9(27)}{-57}[/tex]
[tex]\\ \rm\bull\longmapsto x_2=\dfrac{243}{57}[/tex]
[tex]\\ \rm\bull\longmapsto x_2=-4.26[/tex]
[tex]\\ \rm\bull\longmapsto x_2\approx 4[/tex]
melissa purchased a car at the price of 20,540 with a down payment of 3,900 and financed the rest paying 8.6% interest compounded monthly over a payment period of 5 years she also had to pay 8.25% sales tax a $955 registration fee and $57 documentation fee what is her monthly payment
Answer:
$478.06
Step-by-step explanation:
let's first start out by figuring out the present value of the loan
((20540*1.0825)+955+57)-3900
Which gives me a value of 23246.55
I'm then going to assume that the 8.6% is a nominal interest rate meaning that the effectively monthly rate is equal to .086/12=.0072
Which means we have
23246.55=X(a angle 60 at .0072) (i'm using annuities to solve this if you don't know what this is just ask)
Solve this and get $478.06
y+7x+4(2x-6)+3y PLEASE ANSWER ASAP with work I would love if it was written in paper if not that's ok
is square root of three a transcendental number
Answer:
no its an irrational number
Step-by-step explanation:
hope it helps im not 100%
solve for x x/12−1=−6
x=
Answer:
x=-5
Step-by-step explanation:
x/12-1=-6
12-1
x/11=-6
-11 -11
========
x=-5
Hope that helps
What is the equation of the line in slope-intercept form?
Answer:
y = 1x - 80
Step-by-step explanation:
Formula: y = mx + b
m = slope
b = y-intercept (where the line intersects the y-axis)
m = rise over run or y/x
r/r = 10/10 = 1
b = -80
y = mx + b
y = 1x - 80 or y = x - 80 (same thing)
y = 1x - 80
Hope this helped!
Have a supercalifragilisticexpialidocious day!
Find the value of x, given that the triangles are similar. x = ?
Answer:
x = 15 over4 , y≈ 9.8 units
Step-by-step explanation:
Since triangles ABC and DEF are similar, their corresponding sides are in the same ratio.
hope this helps!
A toolset normally costs 80 during this a sale this week the toolset costs $12 less than normal what percentage of the usual price is the savings?
Divide the discount amount by original price:
12/80 = 0.15
Multiply by 100 to get percent:
0.15 x 100 = 15%
The discount is 15%