x = 5
explanation:
3 + 4.5 = 7.5 to get the side of the big triangle
set up a proportion
[tex]\frac{3}{7.5} =\frac{2}{x}[/tex]
3x=7.5(2)..........cross multiply
3x=15.................multiply
x=5.....................divide both sides by 3
Answer:
Step-by-step explanation:
[tex]\frac{3}{2} =\frac{7.5}{x} \\[/tex]
3x = 15
x = 5
The points A(-3p-3, 2p), B(-5p+1, 0) and C(0, 8p), where p is a constant are collinear. Find: the value of p
Answer:
p = 5Step-by-step explanation:
Since all points are on same line, AB and BC have same slope.
Use slope formula and compare:
m(AB) = (0 - 2p)/(-5p + 1 + 3p + 3) = -2p / (-2p + 4) = p/(p - 2)m(BC) = (8p - 0)/(0 + 5p - 1) = 8p / (5p - 1)m(AB) = m(BC)Compare and solve for p:
p/(p - 2) = 8p/(5p - 1)8(p - 2) = 5p - 18p - 16 = 5p - 18p - 5p = 16 - 13p = 15p = 5Find the perimeter.Simplify your answer.
Answer:
8y - 80
Step-by-step explanation:
Perimeter, put simply, is all of the sides added up together. It will look like this:
(2y - 10) + (2y - 10) + (2y - 10) + (2y - 10)
Now, let's simplify! We can tell that all of the sides are equal to 2y-10, so we can do this:
4(2y -10)
Now we will distribute:
8y - 80
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Answer:
Its jsut combining like terms
Perimeter is basically the out sides all added up in this case everything is equal
so its
2y-10+2y-10+2y-10+2y-10
8y-40
8y-40 is your final answer
A truck that can carry no more than 7600 lb is being used to transport refrigerators and upright pianos. Each refrigerator weighs 300 lb and each piano weighs 525 lb. Write and graph an inequality to show how many refrigerators and how many pianos the truck could carry. Will 13 refrigerators and 7 pianos overload the truck? Explain.
Answer:
13 refrigerators and 7 pianos will NOT overload the truck
Step-by-step explanation:
For x refrigerators, their total weight is 300x.
For y pianos, their total weight is 525y.
The total weight of both of these together must not exceed 7600, so the inequality is ...
300x +525y ≤ 7600
__
The point (x, y) = (13, 7) lies in the solution area. The truck will not be overloaded.
__
Check
300(13) +525(7) = 7575 . . . this is less than 7600
Answer:
Step-by-step explanation:
Represent the number of refrigerators by r and that of pianos by p.
Then the total weight in the truck bed is calculated and we determine whether or not this total is less than the truck capacity.
Find the total weight of the load consisting of 13 refrigerators and 7 pianos. The inequality given above becomes:
w(r, p) = (300 lb)r + (525 lb)p ≤ 7600 lb
w(13, 7) = (300 lb)13 + (525 lb)7 ≤ 7600 lb becomes:
w(13, 7) = 3900 lb + 3675 lb = 7575 lb
Since 7575 lb is just under the truck's capacity (7600 lb), the truck will not be overloaded.
what is the product of... see attachment below
The answer is -7 (option A)
Steps are in the attachment.
_________
Hope it helps ✌
H=
And the equation
Answer:
equation: 10.00+2.50h=7.00+4.00h
10+2.5h-4h=7
10-1.5h=7
-1.5h=7-10
1.5h/1.5=-3/1.5
h=2
15 liters increased by 60% is ___ liters
[tex]15 \times (1 + .6) = 24 \: \: \: liters[/tex]
it's 24 littershope it helpsif f(x) =3x-2 find f-1(x)
Answer:
1
Step-by-step explanation:
f(-1)= -3(-1) -2
f-1)=1
Hailey ordered 12 pizzas for a grade level party. If each person eats 3/8 of a pizza equally, how many people can Hailey feed with 12 pizzas?
Answer:
24
Step-by-step explanation:
convert
b) 25 m³ to ft³
c) 11 ft² to in²
Answer:
conversions are below
Step-by-step explanation:
b) 25 m³ = 882.867 ft³
c) 11 ft² = 1584 in²
Simplify the expression. Write your answer in exponent form. (6^2*6^9/6^7)^5
Answer:
6^4
Step-by-step explanation:
6^2*6^9/6^7
6^(2+9)/6^7
6^(11-7)
6^4 or 1296
HELPP ME OOOO ???
Jendbshshshsbbsbdbsnsmznbs slaizgnsmshxfs sucks skzgxs smudge nzjzdcd
Answer:
5 = k2
k = 2.5
happy learning
Enter an algebraic expression for the word expression. The quotient of -1 and y
Answer:
Step-by-step explanation:
-1/y
If Ram had 5 apples in house , now calculate the number of apple's in his neighbours house .
Answer:
Ram's neighbors probably had more apples than Ram.
Hence, number of apples in the neighbor's house is equal to [tex] \geqslant 5[/tex].
Step-by-step explanation:
Hello bro ufff.... Finally found u xD-,-
I WILL GIVE 30 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT
Answer:
115°
Step-by-step explanation:
From E to B is 180°.
So when looking at angle ACB we get 65°
The angle ACE is equal to 180° - °65 = 115°
To show this is correct we have to add ACE and ACB and that should equal 180° which is true.
Answer:
115°
Step-by-step explanation:
normally straight lines are 180°
so angle ACF is already 90°
to find E, we need to subtract the 90°and the 65°
here it is: 180-(90+ 65)
= 25°
so finally ACE = 90° + 25°
= 115°
;)
The price of a computer was decreased by 30% to £147.
What was the price before the decrease?The price of a ring was increased by 9% to £1800. What was the price before the increase? Give your answer to the nearest penny.
Answer:
a) £210
b) £1651.38
Step-by-step explanation:
a)After the reduction, the price is 1 -30% = 0.70 of what it was.
0.7p = £147
p = £147/0.7 = £2.10 . . . price before decrease
__
b)After the increase, the price is 1 +9% = 1.09 of what it was.
p = £1800/1.09 ≈ £1651.38 . . . price before increase
Free pointzzzzzzzzzzzzzzzzzzzzzzzzzzz
how do i do this pls explain the steps
Answer:
[tex]a^{\frac{15}{2} }[/tex]
Step-by-step explanation:
Using the rules of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]
[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]
([tex]a^{\frac{1}{2} }[/tex] × a)^5
= [tex](a^{\frac{1}{2}+1) }[/tex]^5
= [tex](a^{\frac{3}{2}) } ^{5}[/tex]
= [tex]a^{\frac{15}{2} }[/tex]
-3/4(x+2)=6
What is the answer please explain how u got it
Step-by-step explanation:
1.) distribute (-3/(4x+8)=6)
2.) move 8 (-3/4x=-2)
3.) multiply by 4x (-3= -8x)
4.) divide by -8 (x=2.6)
:)
helpppp
1) calculate the values of the missing sides And angles in the following triangles And rectangles
Answer:
For the pink triangle, [tex]\alpha +\beta = 90[/tex] degrees
For the yellow triangle, [tex]\beta =35[/tex] degrees
Step-by-step explanation:
You need side lengths to find the rest of the angle measures for the pink triangle and I'm not sure how to find side lengths with coordinates, I'm used to an integer with a unit of measure, maybe someone else could help with that.
Find the perimeter.simplify your answer.
Answer:
proly
Step-by-step explanation:
2 * (2z-9) + 2 * (10z)
4z-18 + 20z
24z - 18
Answer:
22z
Step-by-step explanation:
10+10+2z-9+2z-9= 22z
sally has 10 cups of oatmeal. she needs 1/4 cup of oatmeal to make 1 batch of cookies. how many batches of cookies can sally make
x + 12 = 20 i really need help
Hello! :)
x+12=20
Move all numbers to the right, using the opposite operation:
x=20-12
x=8
Therefore, x=8
Hope it helps. Enjoy your day! :)
Do ask me if you have any question.
~An excited gal
[tex]MagicalNature[/tex] here to help
I need some help please
The length is 5 units.
HIGH POINTS/WILL MARK BRAINLIEST
Consider the leading term of the polynomial function. What is the end behavior of the graph?
2x^7– 8x^6– 3x^5– 3
Answer:
The leading term is 2x^7. Since n is odd and a is positive, the end behavior is down and up.
We have a right triangle $\triangle ABC$ where the legs $AB$ and $BC$ have lengths $6$ and $3\sqrt{3},$ respectively. Medians $AM$ and $CN$ meet at point $P.$ What is the length of $CP$
By using Pythagoras theorem and distance formula the length of CP is obtained as 3.43 units.
What is Pythagoras Theorem?
In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse. Due to its position opposite the 90° angle, the hypotenuse in this case is the longest side.
To find the length of CP, first find the coordinates of point P, and then use the distance formula to calculate the length of CP.
Let A be at the origin (0, 0), and let B be on the positive x-axis at (6, 0). Then we can find the coordinates of C using the Pythagorean theorem -
AC² + BC² = AB²
AC² + (3√3)² = 6²
AC² = 9
AC = 3
So C is located at (3, 3√3). We can find the coordinates of M by taking the average of the coordinates of A and B, which gives -
M = ((0+6)/2, (0+0)/2) = (3, 0)
Similarly, find the coordinates of N by taking the average of the coordinates of B and C, which gives -
N = ((6+3)/2, (0+3√3)/2) = (4.5, 1.5√3)
Now find the equation of the line passing through M and C, which is the line containing median AM -
slope = (3√3 - 0)/(3 - 0) = √3
y - 0 = √3(x - 3)
y = √3x - 3√3
And find the equation of the line passing through N and A, which is the line containing median CN -
slope = (0 - 3√3)/(0 - 6) = √3/2
y - 0 = (√3/2)(x - 6)
y = (√3/2)x - 3√3
Now, find the intersection point of these two lines, which is point P -
√3x - 3√3 = (√3/2)x - 3√3
x = 6/3.5
x = 12/7
y = √3(12/7) - 3√3
y = 3√3/7
So P is located at (12/7, 3√3/7).
Now use the distance formula to find the length of CP:
CP² = (12/7 - 3)^2 + (3√3/7 - 3√3)²
CP² = (33/7)^2 + (6√3/7)^2
CP² = 1089/49 + 72/49
CP² = 1161/49
CP = √1161/7
Therefore, the length of CP is (approximately) 3.43.
To learn more about Pythagoras Theorem from the given link
https://brainly.com/question/21970437
#SPJ1
can you solve the sums
[tex](a) {11}^{a} = 1331 \\ = > {11}^{a} = {11}^{3} \\ = > a = 3[/tex]
[tex](b) {2}^{b} = \frac{1}{128} \\ = > {2}^{b} = (\frac{1}{2} ) ^{7} \\ = > {2}^{b} = {2}^{ - 7} \\ = > b = - 7[/tex]
[tex](c) {9}^{c} = 243 \\ = > {3}^{2 \times c} = {3}^{5} \\ = > {3}^{2c} = {3}^{5} \\ = > 2c = 5 \\ = > c = \frac{5}{2} \\ = > c = 2.5[/tex]
[tex](d) {10}^{d} = 0.01 \\ = > {10}^{d} = \frac{1}{100} \\ = > {10}^{d} =( \frac{1}{10} ) ^{2} \\ = > {10}^{d} = {10}^{ - 2} \\ = > d = - 2[/tex]
Answers:a = 3b = -7c = 2.5d = -2Hope it helps.
Do comment if you have any query.
Can someone please tell me how to subtract 1 3/8 by 3/4
Answer:
13/8-3/4. LCM=2×2×2=8
= find the LCM of the denominators. 2 8 4
= 13 -6 /8 2. 4. 2
= 7/8 2 2. 1
; 1. 1
help for this question, please and thanks
Answer:
a = 3
b = -1
c = -5
d = -7
Step-by-step explanation:
to find each letter, put the corresponding 'x' value into the y-equation and solve:
for 'a': y = -2(-3) + (-3) = 6 + (-3) = 3
for 'b': y = -2(-1) + (-3) = 2 + (-3) = -1
for 'c': y = -2(1) + (-3) = -2 + (-3) = -5
for 'd': y = -2(2) + (-3) = -4 + (-3) = -7
easy one for you folks.
Answer:
if its easy do it
Step-by-step explanation:
Answer:
7.5/15 or something because yes
ticket sales for a local concert totaled $101,244 yesterday. After the ticket window closed today, the cashiers counted 968 tickets sold with a two-day total of $143,836. What is the cost of one concert ticket?
The cost of one concert ticket is approximately $148.59.
The tickets sales for the local sales is totalled $101, 244 yesterday.
ticket sales yesterday = $101244
He sold 968 tickets with a two-days total of $143, 836 (both yesterday and today)
The cost of one ticket can be calculated below:
cost of one ticket = 143,836 / 968
cost of one ticket = 148.590909091
cost of one ticket ≈ $ 148.59
read more: https://brainly.com/question/15471320?referrer=searchResults