Answer:
[tex]\Large\boxed{\sf{y=\dfrac{7}{2} }}[/tex]Step-by-step explanation:
Isolate the variable of y from one side of the equation.
-14=5(3y-10)-5y
First, switch sides.
[tex]\sf{5\left(3y-10\right)-5y=-15}[/tex]
Use the distributive property.
DISTRIBUTIVE PROPERTY:
A(B-C)=AB-AC
5(3y-10)
Multiply by expand.
5*3y=15y
5*10=50
15y-50-5y
15y-5=10y
= 10y-50
10y-50=-15
Add by 50 from both sides.
10y-50+50=-15+50
Solve.
10y=35
Then, you divide by 10 from both sides.
10y/10=35/10
Solve.
Divide the numbers from left to right.
35/10=7/2
y=7/2
Divide is another option.
7/2=3.5
[tex]\Longrightarrow: \boxed{\sf{y=\dfrac{7}{2}}}[/tex]
Therefore, the correct answer is y=7/2.I hope this helps. Let me know if you have any questions.
One of the legs of a right triangle measures 1 cm and its hypotenuse measures 2 cm.
Find the measure of the other leg. If necessary, round to the nearest tenth.
Answer:
1.7 cm
Step-by-step explanation:
The formula to find the hypotenuse: [tex]c^{2} = a^{2} +b^{2}[/tex]. In this case, the hypotenus is given.
1) Substitute the values into the formula.
[tex]2^{2} = 1^{2} +b^{2}[/tex]
2) Solve for [tex]b[/tex].
[tex]4 = 1 + b^{2} \\4 - 1 = b^{2}\\3 = b^{2}\\\sqrt{3} = b\\1.73205 = b[/tex]
3) Round the answer to the nearest tenth.
[tex]1.7 = b[/tex]
If the measures of two interior angles of a triangle are 25° and 84º, what is the measure of the third
angle?
Answer: The measure of the third angle would be 71
Step-by-step explanation:
Hi, I have a Q, how do I use it?
Answer:
use what
Step-by-step explanation:
Find the area of the figure. Use 3.14 for 77.
in
7 in
A. 56.13 in2
B. 35.13 in2
C. 70.26 in2
D. 49,26 in2
Answer:
C 70.26 in2
Step-by-step explanation:
6 = D
R = D/2
R = 3
A = 3.14 x 3 x 3
A = 3.14 x 9
A = 28.26
The area of the triangle is
A = 6 x 7
A = 42
So
42 + 28.26
70.26 in2
Eddie drew a scale drawing of a house and its lot. The scale of the drawing was 1 inch : 6 feet. If the actual width of the porch is 18 feet, how wide is the porch in the drawing?
Answer:
3 inches
Step-by-step explanation:
18/6=3
which statement about christophers performance is correct
Answer:
what !!!!!!!!!!!?!!!???????????!!??!?!??!!!?!?!!!?!!!!
Step-by-step explanation:
this is a joke like reallyy
What is the percent of change 30in to 24in
Answer:
1/5
Step-by-step explanation:
30 - 24 = 6
6 = 6/30
6/30 = 1/5
Answer: 20%
Step-by-step explanation: 30- 24 = 6
6/30 × 100/ 1 = 20%
Pls help! find the area of each figure. use 3.14 for π
Answer:
39.5
Step-by-step explanation:
1 Triangle; 3
other Triangle; 4.5
Rectangles; 32
Hope This Helps! :)
Complete the two column proof
Given angle to an angle five are supplementary
Prove: I || m
Answer:
Step-by-step explanation:
suppose felino deposited $1500 in the bank for 3 years. he makes $112.50 in simple interest at the end of the 3 years. find the annual interest rate
which of the following is an example of the atmosphere inracting with the biosphere
Answer:
rain (hydrosphere) falls from clouds in the atmosphere to the lithosphere and forms streams and rivers that provide drinking water for wildlife and humans as well as water for plant growth (biosphere)
Step-by-step explanation:
the table below shows the length of the hiking trails at a local park. Aaron hikes half of the blue trail. what distance did he hike?
Answer:
The answer is B.
Step-by-step explanation:
I was trying to answer ur question a little bit ago, where it had multiple quesitons, but it had gotten deleted. I saved the answers for you
1st one- B(This question lol) , second one- C, third one- ?, fourth one- C, Fifth one- A.
I wasnt sure about the third one but i got the others...
Hope it helps you :)
Pls mark brainleist :P
`
`
`
w/ <3...
Tori
Answer:
Its 0.5 miles
Step-by-step explanation:
PLEASE HELP!!!!
What is the area of the picture below?
you either multipy or add all of the numbers and find the perimeter
explanation & answer
Answer:
The answer to this expression is [tex]\frac{13x-6}{6}[/tex], or [tex]\frac{13x}{6} - 1[/tex].
Step-by-step explanation:
The given problem is [tex]\displaystyle \frac{2x}{3}+\frac{(3)x-2}{2}[/tex] .
Let's start by finding common denominators for the fractions so that we can add them. The simplest common denominator is 6; we multiply [tex]\frac{2x}{3}[/tex] by [tex]\frac{2}{2}[/tex] and [tex]\frac{3x-2}{2}[/tex] by [tex]\frac{3}{3}[/tex].
[tex]\displaystyle \frac{2x}{3} \times \frac{2}{2} =\frac{4x}{6}[/tex][tex]\displaystyle \frac{3x-2}{2} \times \frac{3}{3} = \frac{3(3x-2)}{6} = \frac{9x-6}{6}[/tex]Now, since the fractions have common denominators, we can add them together.
[tex]\displaystyle \frac{4x}{6} + \frac{9x-6}{6} = \frac{13x-6}{6}[/tex]The answer to this expression is [tex]\frac{13x-6}{6}[/tex], or [tex]\frac{13x}{6} - 1[/tex].
PLEASEE HELPPP TEST DUE IN 20 MINUTES!! A Question 2 (2 points) Retake question
When solving the following equation by completing the square, what would you add
to both sides of the equation in order to complete the square? X^2-10x =3
6
3
15
25
9
10
1
Answer:
D. 25
Step-by-step explanation:
To find the new value of c when completing the square, use the formula [tex](\frac{b}{2} )^{2}[/tex].
Plugging in the given values:
[tex](\frac{10}{2} )^{2}[/tex]
(5)²
= 25
hope this helps!
Answer:
25
Step-by-step explanation:
when solving the equation, you're going to add have the coefficient of x to bothsides.
from the question, the coefficient of x is 10 and half of it is 5
5^2= 25
hope this helps!!!please rate and mark brainliest.Find the midpoint of CD.
C = (-3,4) and D = (5,-8)
[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{-3}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{-8}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ 5 -3}{2}~~~ ,~~~ \cfrac{ -8 + 4}{2} \right)\implies \left(\cfrac{2}{2}~~,~~\cfrac{-4}{2} \right)\implies (1~~,~~-2)[/tex]
which expressions are equivalent to 4^-2*7^-2
Answer:
[tex]\textsf{B)}\quad \dfrac{1}{28^2}[/tex]
[tex]\textsf{C)} \quad \dfrac{7^{-2}}{4^2}[/tex]
Step-by-step explanation:
[tex]4^{-2} \cdot 7^{-2}[/tex]
[tex]\textsf{Apply exponent rule} \quad (a^b \cdot c^b)=(ac)^b:[/tex]
[tex]\implies (4 \cdot 7)^{-2}[/tex]
[tex]\implies (28)^{-2}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^{-n}=\dfrac{1}{a^n}:[/tex]
[tex]\implies \dfrac{1}{28^2}[/tex]
-------------------------------------------------------------------------------------------
Also,
[tex]4^{-2} \cdot 7^{-2}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^{-n}=\dfrac{1}{a^n}:[/tex]
[tex]\implies \dfrac{7^{-2}}{4^2}[/tex]
[tex]\\ \rm\Rrightarrow 4^{-2}7^{-2}[/tex]
a^{-n}=1/a^n[tex]\\ \rm\Rrightarrow \dfrac{1}{4^2.7^2}[/tex]
a^n×b^n=(ab)^n[tex]\\ \rm\Rrightarrow \dfrac{1}{(4.7)^2}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{1}{28^2}[/tex]
If we break only 4
[tex]\\ \rm\Rrightarrow \dfrac{7^{-2}}{4^2}[/tex]
Option B and C
Combine the like terms and rewrite this expression:
2n+4z+6-n+10z-4
Answer:
n+14z+2
Step-by-step explanation:
2n+4z+6-n+10z-4
2n-n+4z+10z+6-4
=n+14z+2
1
1. The measure of 2G is 82º. What is the
measure of its supplement?
Answer:
98º
Step-by-step explanation:
Since a supplementary angle is 2 angles which equal 180 degrees we would have this angle and 1 more angle that add up to 180:
[tex]82+x=180[/tex]
subtract 82 from both sides
[tex]x=98[/tex]
500ml of milk for 60p
4 litres for £3.20
Which bottle is better value for money?
Answer:
4 liters for £3.20
Step-by-step explanation:
we want to maximize quantity for each unit of money spent. if we use mL and p, we want to maximize mL/p
500 mL = 60 p
divide both sides by 60p to get a mL/p value
500 mL/60 p = 50/6 p ≈ 8.3 mL per pence
4 L = £3.20
note:
1000 mL = 1L
divide both sides by 1 L/ 1000 mL
1000 mL / 1 L = 1
1 L / 1000 mL = 1
100 p = £1
divide both sides by 100p / £1
100p / £1 = 1 = £1 / 100p
convert everything to the same units (mL and p) to accurately compare
4 L = £3.20
4L = 4L * 1 = 4L * 1000 mL / 1 L = 4000 mL. Note that we have two options to choose from -- 1000 mL / 1 L and 1 L / 1000 mL. We choose the first one here because we want the 4L to cancel out with the 1 L
£3.20 = £3.20 * 1 = £3.20 * 100p / £1 = 320 p. note we put the £1 on the bottom so the euros cancel out.
thus,
4 L = £3.20
= 4000 mL = 320p
divide both sides by 320p to get a mL / p value
4000 mL / 320 p = 12.5 mL/p
8.3 mL per pence in the first one
12.5 mL per pence in the second one
the second one has a higher mL per pence, so that is a better value
Javier is building a recyangular case that has a lenth of 28 centime ters, a width of 20 centimeters, and a height of 14 centimeters. He decides to change the height to be 2 times the original height
Answer:
124
Step-by-step explanation: Since the length is 28, the width is 20, and teh height is 14, you have to do 28+20+14, which equals 62. 62 x 2 = 124.
Tell me the answer and show work pls
Answer: a12 = 1/5120
Step-by-step explanation:
geometric sequence formula: an = a1*r^(n-1)
a1 = 2/5, r= 1/2, n= 12
a12 = 2/5*r^11
a12 = 2/5*1/2048
a12 = 1/5120
expressions that are equal to 4 times the square root of 5
Answer:
Simplify 4/ (square root of 5) 4 √5 4 5 Multiply 4 √5 4 5 by √5 √5 5 5. 4 √5 ⋅ √5 √5 4 5 ⋅ 5 5
Step-by-step explanation:
Solve this problem.
348-3435+847
Answer:
3934Step-by-step explanation:
PLS MARK BRAILIESTAnswer:
-2240
Step-by-step explanation:
1. 348-3435 = -3087
2. -3087 + 847 = -2240
The weather forecast predicts a 60% chance of rain. However, if it does not rain, the Hershey family has a 90% chance of going to an amusement park. What is the probability of going to the amusement park?
A 15kg bag of strawberry for $8
Answer:
see below
Step-by-step explanation:
Not sure what you are looking for :
15 kg / $8 = 1.875 kg per dollar
$8 / 15 kg = .533 dollars per kilogram
A road-roller levels 3000m of road in 4hours How many metres does it level in a 24 hourday? please help me
Answer:
18,000 meters
Step-by-step explanation:
We know:
v = 4 and t = 24Substitute:
{ v = 4 ⇒ INTO FORMULA ⇒ D = V × T : D = 4 × 24
{ t = 24
Cross out the common factor:
⇒ 6 × 3000
Calculate the product or quotient:
⇒ 18,000
Given that the sine of a certain angle is 513, and that the angle lies in quadrant 1 of the coordinate plane, what is the tangent of the angle?
The question is an illustration of trigonometry ratio, and the tangent of the angle is 12/13
How to determine the tangent of the angle?Let the angle be x.
The sine of the angle is given as:
sin(x) = 5/13
The sine of an angle is calculated using:
sin(x) = opposite/hypotenuse
By Pythagoras theorem, we have:
Hypotenuse^2 = Adjacent^2 +Opposite^2
This gives
13^2 = Adjacent^2 + 5^2
Rewrite as:
Adjacent^2 = 13^2 - 5^2
Evaluate
Adjacent^2 = 144
Take the square root of both sides
Adjacent = 12
The tangent is then calculated using
tan(x) = Adjacent/Hypotenuse
So, we have:
tan(x) = 12/13
Hence, the tangent of the angle is 12/13
Read more about trigonometry ratio at:
https://brainly.com/question/11967894
#SPJ1
question:
the table shows the results of a survey of 100 people selected randomly at an airport . find the experimental probability that a person selected at random is going to CITY B .
the experimental probability that a person selected randomly is going to city b is ____ .
Answer:
2/5
Step-by-step explanation:
40/100 answered city B, simplified it is 4/10 and then 2/5
Complete the square to transform the quadratic equation into the form (x – p)2 = q. x2 - 12x - 5 = 7 A) (x - 36)2 = 9 B) (x - 6)2 = 48 C) (x - 36)2 = -9 D) (x - 6)2 = -48
Answer:
(x - 6)^2 = 48.
Step-by-step explanation:
x2 - 12x - 5 = 7
x2 - 12x = 12
(x - 6)^2 - 36 = 12
(x - 6)^2 = 48