Answer:
[tex] \huge \: \boxed{ \boxed{21}}[/tex]Step-by-step explanation:
according to the question
[tex] \frac{14}{2x + 7} = \frac{x - 3}{63} [/tex]
[tex]882 = (x - 3)(2x + 7)[/tex]
[tex]0 =882 - (x - 3)(2x + 7)[/tex]
[tex] 882 - (2 {x}^{2} + x - 21) = 0[/tex]
[tex]882 - {2x}^{2} - x + 21 = 0[/tex]
[tex] - {2x}^{2} - x + 903 = 0[/tex]
[tex]2x + x - 903 = 0[/tex]
[tex](2x + 43)(x - 21) = 0[/tex]
[tex]x = - \frac{43}{2} \\ x = 21[/tex]
[tex] \huge \therefore x = 21[/tex]
Riley has $14 more than Ashton. Peyton has twice as much money as Riley. If Ashton has m dollars, which expression represents the amount of money that Peyton has?
Answer:
14 times 2
Step-by-step explanation:
Jacob used an empty can for a project shown below the pills the label of the king in find the area of the label what is the approximate area of the canned label?
Answer:
B: 100.53 in²
Step-by-step explanation:
From the image of the can label shown, we can see that;
Height; h = 8 inches
Diameter; d = 4 inches
Thus, radius; r = d/2 = 4/2 = 2 inches
The can is a cylinder and the label covers only the curved surface area. Thus, formula for curved surface area of a cylinder is;
A = 2πrh
Thus;
A = (2π × 2 × 8)
A = 100.53 in²
A circular pen has circumference of 77.5 feet. Approximate π to 3.14 and estimate how many sheep could be safely kept in the pen if each sheep needs at least 45 square feet.
Answer:
10 sheep
Step-by-step explanation:
First, we have to determine the area of the circular pen.
Area of a circle = [tex]\pi[/tex][tex]r^{2}[/tex]
But,
Circumference of a circle = 2[tex]\pi[/tex]r
So that,
77.5 = 2 x 3.14 x r
77.5 = 6.28r
r = 12.34
Radius of the pen is 12.34 feet.
Thus,
Area of the pen = [tex]\pi[/tex][tex]r^{2}[/tex]
= 3.14 x [tex](12.34)^{2}[/tex]
= 478.15
Area of the pen = 478.15 square feet
Number of sheep that can be safely kept in the pen = [tex]\frac{478.15}{45}[/tex]
= 10.63
The number of sheep that can be safely kept in the pen is 10.
describe how you would write an equationof the line in ponit slope form that goes through the points (3,-5) and (-2,10)
Please help guys <3
Answer:
10-(-5)= m(-2-3)
Step-by-step explanation:
The equation for point slope form is y- y1= m (x- x1)
You would plug in the numbers so y = y coordinate of second point which the second point is (-2,10). The y coordinate is 10. Then, since y1 = y coordinate of the first point the first point being (3,-5), the y1 is -5. You do the same thing with x and x1 being -2 and 3. So the equation should look like this:
10-(-5)= m(-2-3)
That's the answer. I hope this helps!
Please help!! im confused
Answer:
8.5
Step-by-step explanation:
you cut them in half. when it says clicks per second it means per one second. so if you get 17 clicks in 2 seconds you just cut it in half.
The ocean's surface is at 0. Which is farthest from the ocean’s surface?
A.
a fish swimming at -22 feet
B.
a kite flying at 48 feet
C.
a shipwreck at -52 feet
D.
a balloon at 19 feet
Answer:
C. a shipwreck at -52 feet
Step-by-step explanation:
It is asking which is farthest from the ocean's surface, so we must use absolute value.
[tex] | - 22| = 22 \\ |48 | = 48 \\ | - 52| = 52\\ |19| = 19[/tex]
52 is greater than the others. therefore the farthest away.
what is 2.5% as a feaction and a decimal
Perry and Jack are selling pies for a school fundraiser. Customers can buy apple pies and black berry pies. Perry sold 9 pies and 12 blackberry pies for a total of $165. Jack sold 8 apple pies and 3 blackberry pies for a total of $70. Find the cost each of one apple pie and one black berry pie.
Answer: apple pie=5
blackberry pie=10
Step-by-step explanation:
apple pies=a
blackberry pies=b
Perry sold:
9a+12b=165
Jack sold:
8a+3b=70
we have a system of equations
9a+12b=165
9a=165-12b
a=(165-12b)/9
replace in the second
8(165-12b)/9 +3b=70
after we do the multiplication we will get
1320-96b+27b=630
69b=690
b=10 dollars
a=(165-120)/9=45/9=5 dollars
What’s the area of this following circle?
Answer:
The Answer is 113.04 which would simplify to 113
Step-by-step explanation:
3.14×6^2=113.04
What is the volume of the figure?
8 cubic units
o 24 cubic units
16 cubic units
o 12 cubic units
What is the answer for. 49x^2-25y
Calculate the radius if the circles given the Diameter.
d= 7.8
Find the missing sides of each triangle
pls help pls help i will award brainliest.
Answer:
-24
Step-by-step explanation:
4a+8-a
a=-2
4(-2)+8-(-2)
-8+-16
=-24
:)
Write the system of 4 linear inequalities graphed below.
Answer:
Answer:
y > 2x - 1
y ≤ 0.5x + 4
Step-by-step explanation:
solid line: (0,4) (-8,0)
m: (0-4)/(-8-0) = -4/-8 = 0.5
b: 4
y = mx + b y = 0.5x + 4
dotted line: (0,-1) (-2,-5)
m = (-5 - -1)/(-2-0) = 2
b = -1
equation: y = 2x - 1
System: y ≤ 0.5x + 4
y > 2x - 1
Step-by-step explanation:
Find the value of x.
Answer:
5
Step-by-step explanation:
-------------------------
Answer:
a
Step-by-step explanation:
48=7x+13
step 1 subtract each side by 13
35=7x
step 2 divide each side by 7
x=5
Mrs. Harrison is 15 ounces of dark chocolate while baking. She used 3/5 of the chocolate to make some frosting and used the rest make brownies. how many ounces did she use to make brownies?
Pls help me!!!!
3/4 ton= Ib
Step-by-step explanation:
2666 and 2/3 ok try thisyeh
Answer:
1,500 lbs.
Step-by-step explanation:
There are 2000 lbs in 1 ton.
[tex]\frac{3}{4}[/tex] × [tex]\frac{2000}{1}[/tex]= [tex]\frac{6000}{4}[/tex]
6,000 divided by 4 is 1,500
Answer: 1,500 lbs.
A driver was going more then 15 miles per hour over the speed limit when he received a speeding ticket. If the driver's speed was 75 miles per hour, what was the speed limit, m, on the road where he was driving.
I need help with this ASAP!
Answer:
60
Step-by-step explanation:
You just subtract 75 - 15, and you get 60. I hope this helps :)
What is the speed of Junior’s boat that travels 600 meters in 12 seconds?
Answer:50 meters per second
Step-by-step explanation:Divide 600 by 12 and whola, you get 12
x 7 9 11 13 y -1 2 5 8 Is the relationship linear, exponential, or neither
Answer:
it is linear
Step-by-step explanation:
sorry if i'm late but i did it on khan
If a = -2, then what is the value of -2a+ 3?
and
If y = 3, what is the value of -3y - 1?
Step-by-step explanation:
1) 7
2) -4
hope this helps
identify the quadratic equation for the graph below
Answer:
C. Y = [tex]x^{2}[/tex] + x - 6
Step-by-step explanation:
I'm not shure but I think thats the answer.
Noah has a coupon for 30% off at his favorite clothing store . He uses it to buy a hoodie . The regular price of a hoodie is $27. What did Noah pay for the hoodie?
Answer:
$18.90
Step-by-step explanation:
The way to do percentages is actually pretty easy.
since it's taking 30% of you are left with 70%. Take 70 and divide it by 100. This gives you .70
Now what you do is you take the price of the time and multiply it by the .70
So 27.00 * .7 = 18.90
So Noah paid 18.90
Please help me out I am doing this for math and has no clue what to do
neeed help on this !!!!!!!!!!!!!
Answer:
5 minutes.
Step-by-step explanation:
Consider the graph of the linear equation 2x - 5y = 10.
Answer:
The slope is [tex]\frac{2}{5}[/tex]
the y-intercept (0,-2)
the graph points is (5,2)
Step-by-step explanation:
In the figure MN is a midsegment of JKL. Find the value of X
Answer:
x = 9
Step-by-step explanation:
Here, we want to find the value of x
To do this, we are going to use the similar triangles principle
When two triangles are similar, the ratio of their corresponding sides are the same
The two similar triangles we shall be using are;
LMN and LJK
Thus, we have it that;
x/8.5 = x+ 9/17
17x = 8.5(x + 9)
17x = 8.5x + 76.5
17x - 8.5x = 76.5
8.5x = 76.5
x = 76.5/8.5
x = 9
c/- 4 = 16
please help
Jada was solving the equation
6
−
x
=
−
16
6−x
=−16. She was about to square each side, but then she realized she could give an answer without doing any algebra. What did she realize?
The solution Jada seeks does not require any algebra but can be solved to give; x = 22.
How to solve the equationWhen solving the given equation;
6 - x = -16The solution of the equation can be obtained by subtracting 6 from both sides of the equation so that we have;
-x = -16 -6-x = -22.Therefore, the value of x is; 22
Read more on equation;
https://brainly.com/question/16863577