Answer:
Step-by-step explanation:
[tex]\frac{3}{4}(x+21) =10\frac{1}{2} \\x+21=14\\x=-7[/tex]
this is my answer x= -7
Solve the inequality
[tex] 25 + 8x \leqslant 475[/tex]
Answer: x<225/4
Step-by-step explanation: hope this help
(11 + 5) - 7(2 - 1) - 4
show work
Answer:
answer is 5 hope it helps
Answer:
5
Step-by-step explanation:
11+5=16
2-1=1
(16)-7(1)-4
16-7-4
16-7-4=5
PLSSS HELP!! I'LL GIVE BRAINLIEST IF RIGHT Which is the equation of a parabola with a directrix at y = 2 and a focus at (5, 0). A) y = one fourth(x − 5)2 + 1 B) y = one fourth(x + 1)2 − 5 C) y = −one fourth(x + 1)2 − 5 d) y = −one fourth(x − 5)2 + 1
Answer:
The answer is below
Step-by-step explanation:
A parabola is the locus of a point such that its distance from a given line (directrix) and a fixed point (focus) is always the same.
The equation of a parabola with a horizontal line as directrix is given by:
(x - h)² = 4p(y - k)
where y = k - p is the directrix and the focus = (h, k + p)
Given that parabola has a directrix at y = 2 and a focus at (5, 0)
Therefore:
y = k - p
k - p = 2 (1)
focus = (h, k + p) = (5, 0)
h = 5, k + p = 0
k + p = 0 (2)
Solve equation 1 and 2 simultaneously by adding both equations together:
2k = 2
k = 1
Substitute k = 1 in k + p = 0 to find p:
1 + p = 0
p = -1
Therefore h = 5, p = -1 and k = 1
Substitute the values of h, k and p into the equation of a parabola:
(x - h)² = 4p(y - k)
(x - 5)² = 4(-1)(y - 1)
(x - 5)² = -4(y - 1)
x² - 10x + 25 = -4y + 4
-4y = x² - 10x + 21
4y = 10x - x² - 21
A pool measuring 80 ft long × 40 ft wide × 16 ft high is half filled with jello for a charity event. A second pool that measures 50 ft long × 16 ft wide × 12 ft high is completely filled with jello. All the jello in the second pool is pumped into the first pool. What is the height of the jello in the first pool now?
Answer:
The answer is 11
Step-by-step explanation:
In the function y= 1/3x^2,
what effect does the number 1/3 have on the graph,
as compared to the graph of the function y= x^2
A. It stretches the graph horizontally by a factor of 3.
B. It shrinks the graph horizontally to 1/3 its original width.
C. It shrinks the graph vertically to 1/3 its original height.
D. It stretches the graph vertically by a factor of 3.
A population of 35 foxes in a wildlife preserve doubles in size every 15 years. the function y=35•2^x , where x is the number of 15-year periods, models the population growth. how many foxes will be after 45 years?
Answer:
reee
Step-by-step explanation:
skreeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
105
Step-by-step explanation:
15×3
45
35×3=105
Find the measure of each angle indicated. Show work.
Answer:
? = 109 degrees
Step-by-step explanation:
45 + 75 + _ = 180 ( look for vertical angles)
45 + 75 + 60 = 180
60 +79 + _ = 180 (look for a straight line that forms 180 degrees)
60 + 79 + 41 = 180
68 + 41 + _ = 180 (look for a triangle that adds up to 180)
68 + 41 + 71 =180
180 - 71 = 109 (look for a linear pair)
Which statement is true??
WILL MARK BRAINLIEST PLEASE PLEASE solve the inequality for x. -2x - 2 < 8
Answer:
Step-by-step explanation:
we will add like terms
-2x-2<8
we will add 2 on both sides
-2x<10
divide by 2
-x<5
multiply by -1
x>-5
The radius of the cone is 5 in and y = 13 in. What is the volume of the cone in terms of π?
A cone with a right triangle formed from its dimensions; the value of the height is h, and the value of the slant height is y; the height x and the radius form a right angle at the center of the cone.
Answer:
100π in3
Step-by-step explanation:
I took the test
Answer:
V= 100 π ^3
Step-by-step explanation:
V= π r^2 h/3
13^2 = 5^2 + h^2, h=12
V=π 5^2 12/3
V=π. 25. 4
V= 100 π ^3
How do you find area and perimeter of a rectangle with the side lengths of 5x^2 and 12x?
Answer:
The area can be found by multiplying the two terms, and the perimeter by doubling and adding them.
Using this, we find that the area of the rectangle is 60x³, and the perimeter is 10x² + 24x.
Step-by-step explanation:
First let's find the area:
5x² × 12x
= 60x³
Now the perimeter:
2(5x² + 12x)
= 10x² + 24x
Determine how to translate triangle A'B'C' to triangle ABC.
Answer:
im not sure how to explain it, but you should look up your workbook on slader then type in the page of the homework you're doing and the answers are right there
Step-by-step explanation:
Solve the simultaneous equations
x + 5y = 20
x + 3y = 14
X= ?
Y= ?
Answer:
x=5, y=3
Explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Step-by-step explanation:
x=5 y=3 that is it that guy was right
What is 4 9/29 + 6 5/58 ?
Answer:
it 10 23/58
Step-by-step explanation:
i need to learn more and pay attention
what is -8(×+2)+2(×-1)=
Answer:
-8x-16+2x-2
-4x = 18
x= -4.5 or -4 1/2
Step-by-step explanation:
A car travels for 4 hours at an average speed of 45mph and then 6hours at an average speed of 35mph. Work out the distance travelled.
Answer:
390 miles
Step-by-step explanation:
(45 x 4) + (35 x 6) = 390 miles
Rewrite in simplest terms: 8(-10r - 9) + 9r
Answer:
-2
Step-by-step explanation:
you answer the brackets first then add 9 then add 8
What is -30+-30-30-30
Answer:
-120
Step-by-step explanation:
-30
but you have -30 -30 -30
what if we add it to make -90
then we have -30
same thing if you forgot to put + like
-30 + -30 + -30 + 30
still would be -120
Part A The ordered pair that represents the intersection of the x-axis and y-axis is called the _ A endpoint B origin C x coordinate D y coordinate. Part B the coordinates of the origin are _ A (1,1) B (0,1) C (0,0) D (1,0) I will give 15 brain
Answer: Part A. B origin Part B. C(0,0)
Step-by-step explanation:
In a coordinate plane, there are two axes
1) x-axis which is the horizontal axis.
2) y-axis which is the vertical axis.
The intersection of both the axes is known as the origin whose coordiantes are (0,0), i.e. at this point value of x =0 and value of y =0.
Part A: The ordered pair that represents the intersection of the x-axis and y-axis is called the origin.
Part B: The coordinate. Part B the coordinates of the origin are (0,0).
Answer:
A 1,1
Step-by-step explanation:
What is the slope of this graph?
A. -4
B. 1/4
C. -1/4
D. 4
Answer:
-4 is the slope
Step-by-step explanation:
Because the line is going downwards that makes it a negative and if you count the boxes rise over run. You look for the point where the line meets a box perfectly and then you count the boxes down which is 4 and across which is one which makes it -4/1. So the slope is -4.
please help me i’ve been struggling PLEASE !!
Answer:
1. s=43
2. s=148
3. s=137
Step-by-step explanation:
Augie has hit the baseball 75% of the time this year. How many times will he hit the ball if
he bats a total of 32 times?
I’m need some help please! :(
Answer:
24 times
Step-by-step explanation:
75% = 0.75, so then you just do 0.75 * 32 = 24
Answer:
For this question, multiply 75% or 0.75 with 32. The result would be 24. So, Augie has hit the baseball 24 times.
What is the volume of the tissue box 5in 7in 2in
Answer:
70 inches cubed
Step-by-step explanation:
5 times 7 times 2 gives you the volume.
Divide using any method 2x^2+5x+1 ÷ X+3
Question:
Solve the equation 2x2−5x+3=0 by the method of completing square.
Answer:
We have,
2x2−5x+3=0
⇒x2−25x+23=0 (Dividing throughough by 2)
⇒x2−25x=−23 (Shifting the constant term on RHS)
⇒x2−2(45)x+(45)2=(45)2−23 (Adding (21Coeff.ofx)2 onboth sides)
⇒(x−45)2=1625−23⇒(x−45)2=16
35 is 29% of what number
Answer:
10.15 is 29% of 35.
Step-by-step explanation:
The sides of a regular hexagon is 16ft. What is the area of the hexagon?
Answer:
665.1
Step-by-step explanation:
The formula for an area of a hexagon is [tex]\frac{3\sqrt{3}}{2}S^{2}[/tex]
the S (side) is 16 so,
[tex]\frac{3\sqrt{3}}{2}16^{2}[/tex]
=[tex]\frac{3\sqrt{3} }{2}256[/tex]
=[tex]3\sqrt{3}[/tex] × 128
= [tex]384\sqrt{3}[/tex]
round to the nearest sq. rt. means that you have to round to the nearest tenth, or 0.1
[tex]384\sqrt{3}[/tex] is 665.10751 as a decimal
665.1 as rounded. Therefore, the area of the hexagon is 665.1 sq ft
write this number in standard form.
(7 x 100) + (4 x 100 ) + (8 x 1,000)
help asap.
this is a 5th grader problem.
thank you.
worth 50 points!
Answer:
(7 x 100) + (4 x 100 ) + (8 x 1,000)
=700+400+8000
=1100+8000
=91009100 is the right answer.what is the rate unit for 1700 meters in 40 minutes
please help
Answer:
42.5m/s
Step-by-step explanation:
Divide by 40
Anyone know the correct answer?!
Answer: Lower-right corner [tex]3^7 \times \frac{1}{3^4}[/tex]
Explanation:
We use the rule that
[tex]a^{-b} = \frac{1}{a^b}[/tex]
The negative exponent tells us to apply the reciprocal if we want the exponent to be positive.
In this case, a = 3 and b = 4
So,
[tex]a^{-b} = \frac{1}{a^b}\\\\3^{-4} = \frac{1}{3^4}[/tex]
which is why overall,
[tex]3^7\times 3^{-4} = 3^7 \times \frac{1}{3^4}[/tex]
The junior class sold 120 turkey dinner plates and 200 chicken dinner plates for a total of $2,150. The senior class sold 100 turkey plates and 300 chicken plates, raising $2,625. What was the cost of each turkey dinner plate? What is the cost of each chicken plate?
Answer:
Write the system of equations with 2 unknowns x and y denoting the prices of two types of chickens:
(1) 120x + 200y = 2150
(2) 100x + 300y = 2625
Solving the system of equations above we have 2 solutions:
x = 15/2 = $ 7.5 and y = 25/4 = $ 6.25
Step-by-step explanation: