Answer:
-296
Step-by-step explanation:
Answer:
-296
Step-by-step explanation:
-8(9×8+7×-5)
-8 (72 + -35)
-8(37)
-296
There are 54 new houses being built in a neighborhood. Last month, 1/3 of them were sold. This month, 2/3 of the remaining houses were sold. How many houses are left to be sold?
Answer:
Step-by-step explanation:
convert y = -2x +5 to point slope form
Answer:
Converting y = -2x +5 to point-slope form will be:
[tex]y - 5 = -2(x-0)[/tex]Step-by-step explanation:
We know that the slope-intercept form of the line equation is
y = mx+b
where
m is the slopeb is the y-interceptGiven the equation
[tex]y = -2x +5[/tex]
comparing with the slope-intercept form
Slope of the line = m = -2
The y-intercept b = 5
We know that the value of y-intercept can be determined by setting x = 0, and determining the corresponding value of y.
Thus, the ordered pair or point representing the y-intercept will be:
(0, 5)Now, we have
The slope = m = -2The point = (0, 5)Now, using the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where
m is the slope of the line(x₁, y₁) is the pointsubstituting the values m = -2 and the point (x₁, y₁) = (0, 5)
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y - 5 = -2(x-0)[/tex]
Therefore, converting y = -2x +5 to point-slope form will be:
[tex]y - 5 = -2(x-0)[/tex]ASAP! Please do 1-5 and show work if possible!
Answer :
(1) The radius of a circle is 1.5 m.
(2) The diameter of a circle is 28 ft.
(3) The radius of a circle is 10 in.
(4) The circumference of circle is 47.14 m.
(5) The circumference of circle is 44 yd.
Step-by-step explanation :
Part 1:
Given: d = 3 m
Now we have to determine the radius of circle.
As we know that:
Radius of a circle = [tex]\frac{Diameter}{2}[/tex]
So,
Radius of a circle = [tex]\frac{3m}{2}=1.5m[/tex]
The radius of a circle is 1.5 m.
Part 2:
Given: r = 14 ft
Now we have to determine the diameter of circle.
As we know that:
Radius of a circle = [tex]\frac{Diameter}{2}[/tex]
So,
Diameter of a circle = [tex]Radius\times 2[/tex]
Diameter of a circle = [tex]14ft\times 2=28ft[/tex]
The diameter of a circle is 28 ft.
Part 3:
Given: d = 20 in
Now we have to determine the radius of circle.
As we know that:
Radius of a circle = [tex]\frac{Diameter}{2}[/tex]
So,
Radius of a circle = [tex]\frac{20in}{2}=10in[/tex]
The radius of a circle is 10 in.
Part 4:
Given: d = 15 m
Now we have to determine the circumference of circle.
Formula used:
[tex]C=\pi d[/tex]
where,
C = circumference
d = diameter
So,
[tex]C=\frac{22}{7}\times 15m[/tex]
[tex]C=47.14m[/tex]
The circumference of circle is 47.14 m.
Part 5:
Given: r = 7 yd
Now we have to determine the circumference of circle.
Formula used:
[tex]C=\pi d[/tex]
or we can write,
[tex]C=\pi (2\times r)[/tex]
where,
C = circumference
d = diameter
r = radius
So,
[tex]C=\frac{22}{7}\times (2\times 7yd)[/tex]
[tex]C=44yd[/tex]
The circumference of circle is 44 yd.
A rectangular swimming pool has a base of 200 square feet. The pool has a depth of 5 feet. What is the volume of the pool?
Answer:
200 X 5 = 1000 square feet
Step-by-step explanation:
V = L x W x H
Answer:
1,000
Step-by-step explanation:
On the swim team, for every 10 girls there are 7 boys. If there are 21 boys on the swim team, how many girls are there?
Answer:
30 girls
Step-by-step explanation:
Every 10 girls there are 7 boys.
So if there are 3 groups of 7 boys, there will be 30 girls.
Check:
10 girls: 7 boys
+10 girls: 7 boys
+10 girls: 7 boys
= 30 girls: 21 boys
What is the solution to this equation?
-0.20% – 20) = 44-x
A x= -90
B. X=-50
C. x = 50
D. X=90
Answer:
C. x = 50
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Pls help!!!!! 20 points! and brainliest!!!
Answer:i tried
Step-by-step explanation:
find the values of y for which the distance between the point p2,-3 and q 10, y is 10 units
Answer:
y = - 9, y = 3
Step-by-step explanation:
Calculate distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (2, - 3) and (x₂, y₂ ) = (10, y)
d = [tex]\sqrt{(10-2)^2+(y+3)^2}[/tex]
= [tex]\sqrt{8^2+(y+3)^2}[/tex]
Given distance between points is 10, then
[tex]\sqrt{64 +(y+3)^2}[/tex] = 10 ( square both sides )
64 + (y + 3)² = 100 ( subtract 64 from both sides )
(y + 3)² = 36 ( take the square root of both sides )
y + 3 = ± [tex]\sqrt{36}[/tex] = ± 6 ( subtract 3 from both sides )
y = - 3 ± 6 , thus
y = - 3 - 6 = - 9
y = - 3 + 6 = 3
Slope of a line that passes through 19,3 and 4,3
Answer:
0
Step-by-step explanation:
y2-y1/x2-x1
3-3/4-19
0/-15
So its 0
( 1/4) ꓥ -3 =
A= -64
B= -1/64
C= 1/64
D= 64
Answer:
C-1/64
Step-by-step explanation:
(1/4)(1/4)(1/4)=1/64
Mark the brainliest
What is the slope of the line that passes through the pair of points (3/2, -2) and (-3, 7/3)?
A. -27/26
B. -26/27
C. 26/27
D. 27/26
Can y'all explain, because I know the answer is B, but I can't figure out for the life of me how to get to that answer.
Kayla thinks that the slope of a vertical line is undefined, while Joshua argues that the slope of a vertical line is zero. Who is correct? *
Answer:
Kayla is correct
Step-by-step explanation:
For a vertical line, the x-value is the same
This means there is no change in the x value
A slope is calculated by dividing by the change in x value
since in this case , we will be dividing by zero, it means that the value of our slope is going to be undefined
This means that Kayla is correct
7. Judy and Steve collect baseball cards. Judy has six less than twice the
number of cards Steve has. If n represents the number of baseball cards
Steve has, which expression represents the number of baseball cards
Judy has?
A 2(n-6)
B. 6 - 2n
c. 2n - 6
D. 6(2) -n
Answer:
c. 2n-6
Step-by-step explanation:
6 less than 2xSteve so 2n-6
What is the value of x?
9514 1404 393
Answer:
x = 3
Step-by-step explanation:
The triangle is equilateral, so each side is equal to the others:
5x = 3x +6
2x = 6 . . . . . . . subtract 3x
x = 3 . . . . . . . . divide by 2
SIMPLE INTEREST
Interest = ?
Principal = $1450
Interest rate = 9%
Time = 5 years
652.50
Step-by-step explanation:
1450 x .09 x 5 = 652.50
PLEASE HELP I NEED THE COORDINATES ASAP ILL GIVE BRAINLIEST
Answer:
Step-by-step explanation:
Han earns $33.00 for babysitting 4 hours. At this rate, how much will he earn if he
babysits for 7 hours. You may solve with any method but you must show your work.
Step-by-step explanation:
First, you want to find the unit rate, or how much Han earns per hour
You can do this by setting up an equation
x= amount earned per hour
4x= 33 Initial equation
4x/4 = 33/4 Isolating the variable
x = 33/4 = 8 1/4 = 8.25 The unit rate
Now you want to set up a new equation to find out how much he makes for 7 hours
x= amount earned per hour
y = total amount earned
y = 7x Initial equation
y = 7 ( 8.25) Substitution
y = 57.75 The answer
Han earns $57.75 for every 7 hours
Checking the answer....
y = 7x
57.75 = 7x Substitute y instead
57.75/7 = 7x/7
8.25 = x
Your answer should be correct
Hope this helps!!!
How do i get the answer x= 3, -1 for equation (3/x^2)+ 2/x =1
Answer:
Steps below
Step-by-step explanation:
(3/x²)+ 2/x =1 (x ≠ 0)
(3/x²) + 2x/x² = 1
(3 + 2x) / x² = 1
3 + 2x = x²
x² - 2x - 3 = 0
(x + 1) (x - 3) =0
x = -1 or x = 3
QUESTION 23
Tamara has $50 to spend on craft supplies. She spends $30
plus a 5% tax at the store. How much change should she
receive?
Answer:
the answer is $18.5
Step-by-step explanation:
30 + tax is $31.50
Answer:
$18.50
Step-by-step explanation:
Before Tax Price: $30
Sales Tax Rate: 5%
After Tax Price: $18.50
How can you find how much the sales tax is? Let's say you're buying a $100 item with a sales tax of 5%. Your math would be simply:
[cost of the item] x [percentage as a decimal] = [sales tax]
Step 1 : $30 x .05 (5%) = $1.50 Step 2 : $30 + $1.50 = $31.50Step 3 : $50 - $31.50 = $18.50Peter has $12 in nickels and quarters. Altogether, he has 72 coins. Use the variables n and q to write and solve a system of equations to determine how many of each coin she has.
Step-by-step explanation:
n= nickels
q= quarters
Create a system of equations
n + q =72 number of coins
0.05n + 0.25q = 12 amount in money
solve by elimination ( anything would be fine)
n + q = 72
4( 0.05n + 0.25q = 12)
n+ q = 72
-
0.2n + q = 48
0.8n = 24
n= 30
now use substitution to find how many quarters she has
30 + q = 72
q = 42
He has 30 nickels and 42 quarters
Sorry for skipping some steps
I hope this helps!!!
Leaving work, Duncan drove at 30 mph for 20 minutes. Then he drove at 40 mph for 12 minutes to reach home. How far did he drive to get home?
So first, we're gonna split these into their own little sections.
If Duncan drove 30 mph for 20 minutes, we need to think about the time for now. One hour is 60 minutes, and 20 minutes is 1/3 of an hour. If it's 30 miles per hour, then we'd need to split that into thirds to give it the twenty minute value, so in twenty minutes he drove 10 miles.
For the second part, we're gonna do the same thing. 40 mph in twelve minutes. 60 divided by 12 is 5. Then split the 40 mph into fifths. 40 / 5 = 8. Every twelve minutes, he drove 8 miles.
Add 10 and 8, and he drove a total of 18 miles to get home.
An apple juice factory produced 830.87 gallons of apple juice in 4 days. How much apple
juice, on average, did the factory produce each day?
Answer:
207.7175
Step-by-step explanation:
take the 830.87 and divide it by 4 to see how much is made in 1 day. thats the average.
Pls help me It would help alot
Answer: A=4πr2
I really hope this helped!!
Find the perimeter of a 35° slice of pizza that has a radius of 8 inches.
9514 1404 393
Answer:
20.9 inches
Step-by-step explanation:
The perimeter length is the sum of the lengths of the two straight edges and that of the curved edge.
P = r + r + rα . . . . . where α is the central angle in radians
35° is (35°/180°)π radians, about 0.6109 radians
Then the perimeter is ...
P = r(2 +α) = (8 in)(2 +0.6109) ≈ 20.9 in
The perimeter of the slice is about 20.9 inches.
Lucy and JoJo need to make 140 cupcakes for the school dance. Lucy made 35 of the cupcakes JoJo made 42 cupcakes What fraction of the cupcakes do Lucy and JoJo still need to make? (Use / as a fraction bar.)
Answer:
16/35
Step-by-step explanation:
From the question we are given:
total number of cupcakes needed for the school dance = 140 cupcakes
Lucy made 35cupckes
JoJo made 42 cupcakes
Total cupcakes made by JoJo and Lucy = 35+42 = 76cupcakes
Remaining cupcakes still needed to be made = 140 - 76 = 64cupckes
Fraction of the cupcakes that Lucy and JoJo still need to make = 64/140
Fraction of the cupcakes that Lucy and JoJo still need to make = 16/35
Hence the fraction of the cupcakes that Lucy and JoJo still need to make is 16/35
Answer:
16/35
Step-by-step explanation:
write a quadratic polynomial, sum of whose zeroes is 2 and product is -8
Answer:
x^2 +2x-8
Step-by-step explanation:
Here, we want to write the quadratic polynomial given the sum of the root and the product
mathematically, we can have the factors as -2 And +4
So we have the equation as;
(x-2)(x + 4)
= x^2+ 2x - 8
Find the values of x and y . Then find the measures of the interior angles of the polygon.
Step-by-step explanation:
It is a cyclic quadrilateral.
The sum of interior angles of this polygon is equal to 180 degrees.
ATQ,
2x+26y=180
x+13y=90 ....(1)
3x+21y=180
x+7y=60 ....(2)
Subtract equation (1) from (2).
x+7y-(x+13y) = 60-90
x+7y-x-13y=-30
-6y=-30
y = 5
Put the value of y in equation (1
x+13(5) = 90
x+65=90
x = 90-65
x = 25
So,
∠DAB = 26y = 26(5) = 130°
∠ABC = 3x = 3(25) = 75°
∠BCD = 2x = 2(25) = 50°
∠ADC = 21y = 21(5) = 105°
x = 25, y = 5
m∠DAB = 26(y) = 180°
m∠ABC = 3x = 75°
m∠BCD = 2x = 50°
m∠ADC = 21y = 105°
Property of a cyclic quadrilateral: Sum of the opposite angles of a cyclic quadrilateral is 180°.
From the picture attached,
ABCD is a cyclic quadrilateral. m∠A = 26y°, m∠B = 3x°, m∠C = 2x° and m∠D = 21y°By using the property of cyclic quadrilateral,
m∠A + m∠C = 180°
26y + 2x = 180
13y + x = 90 --------(1)
m∠B + m∠D = 180°
3x + 21y = 180
x + 7y = 60 --------(2)
Subtract equation (2) from (1),
(13y + x) - (x + 7y) = 90 - 60
6y = 30
y = 5
Substitute y = 5 in equation (1),
13(5) + x = 90
x = 90 - 65
x = 25
Substitute the values of 'x' and 'y' to get the measures of the angles,
m∠DAB = 26(y) = 180°
m∠ABC = 3x = 75°
m∠BCD = 2x = 50°
m∠ADC = 21y = 105°
Therefore, values of the variables will be,
x = 25, y = 5
m∠DAB = 26(y) = 180°
m∠ABC = 3x = 75°
m∠BCD = 2x = 50°
m∠ADC = 21y = 105°
Learn more about the cyclic quadrilateral here,
https://brainly.com/question/24142962?referrer=searchResults
help plz I really need to finish
Answer:
[tex]26x^6y^4[/tex]
Step-by-step explanation:
the volume is like
[tex]V = length\cdot width\cdot depth[/tex]
so we have
[tex]V= 4yx^5\cdot 3xy\cdot 2y^2\\\\V=(4\cdot 3\cdot 2)(y\cdot y \cdot y^2)(x^5 \cdot x)\\\\V = 24(y^4)(x^6)\\\\V=24x^6y^4[/tex]
Order each value from least to greatest ---- one being the least and five being the greatest.
Answer:
3 2 5 4 1 in that order :D
Step-by-step explanation:
if 12% = £54
what does 100% =
Brainliest to first correct answer :)
Answer:
£450
Step-by-step explanation:
12%=£54
100%=?
we will criss cross it then 12%×?=100%×£54÷12
=£450