25 miles is the constant. x is the changing factor. x miles per hour for 5 hours is 5x. y is the total amount. This means that our formula is going to be A) 5x + 25 = y.
All of the other options are incorrect.
I hope this helps! :)
What will be the height of the triangle, if its area is 105 m 2 and the base is 15 m?
Answer:
14 mStep-by-step explanation:
Given,
Area of the triangle
[tex] = {105m}^{2} [/tex]
Base of the triangle
= 15m
Let,
Height of the the triangle be h
Therefore,
By the problem,
[tex] = > \frac{1}{2} \times base \times height = 105[/tex]
(On putting values)[tex] = > \frac{1}{2} \times 15 \times h = 105[/tex]
(On putting the known values on one side)[tex] = > h = \frac{105 \times 2}{15} [/tex]
(On Simplification)=> h = 7 × 2
(On multiplying)=> h = 14m
Hence,
The req. height of the triangle is 14 m (Ans)
Answer:
The answer is 14 m.
Step-by-step explanation:
Area = [tex]105^{2}[/tex]
Base = 15 m.
Height = ?
The formula for finding the area of triangle is
[tex]A = \frac{h_{b}b}{2}[/tex]
Put the values in the formula
[tex]105 = \frac{h_{b}15 }{2}[/tex]
Use MPE or Multiplication Property of Equality
210 = 15[tex]h_{b}[/tex]
Now use DPE or Division Property of Equality
[tex]\frac{210}{15} = \frac{15_{hb} }{15}[/tex]
14 = [tex]h_{b}[/tex]
The height of the triangle is 14 m.
To check, multiply the height and base to get the area.
14 * 15 = 105 [tex]m^{2}[/tex]
Can anyone please answer this question properly with explanation
I need explanation
EXPLANATION
DONT ANSWER IF YOU DON’T HAVE A EXPLANATION PLEASE
Answer: See below.
Step-by-step explanation:
We'll assume the top and bottom lines are parallel. That means angles 4 and 5 are 90 degrees since the line coming down is perpendicular to the parallel line. The sum of angles 1 and 2 is also 90°. The interior angles of a triangle must add to 180°. So far we have two: 90° and 60°. The third must therefore be 30°(angle 2). Angle 3 must be 120° since it shares a straight line with the 60° angle and the straight line is 180° from one side to the other. Angle 1 must be (90°- angle 2), which makes it 60°.
1. 60°
2. 30°
3. 120°
4. 60°
5. 90°
if i got a 48 and a 49 on my math quiz which are worth 90% of my grade and I get a 100 on my hw which is 10% of my grade. I have two more quizzes left. What are the lowest grades to get on both of my quizzes in order to get a 70% average?
Answer:
80
Step-by-step explanation:
80%
What is the measure of angle x?
Answer:
See below:
Step-by-step explanation:
Hello! My name is Galaxy and I will be helping you today!
We can solve this problem in two steps, one being comprehension and another being solving. I'll start off with comprehension.
Comprehension
We can start to solve this problem by looking at it.
We can see that there is a right angle, therefore the angles that are in it are Complementary (Add up to 90).
That means that 30+3x=90.
We can now begin solving.
Solving
We can start solving by setting up an equation.
[tex]30+3x=90[/tex]
We can do this because we know due to the law of complementary angles that 30 and 3x MUST equal to 90.
[tex]3x=60\\x=20[/tex]
We can do basic algebra, we can find out that x is equal to 20 degrees. Let's now check our answer.
[tex]30+3(20)=90?\\30+60=90?\\90=90[/tex]
Therefore the answer is x=20 degrees
Cheers!
Can some one help me
Answer:
16.95
Step-by-step explanation:
because when you add 14.95 and 2 together you get 16.95
Answer:
Step-by-step explanation:
Area of Big circle = πr² = 3.14 * 6.5*6.5 = 132.67 cm²
Area of small circle = 3.14 * 2.3*2.3 = 16.61 cm²
Area of shaded region = area of big circle - area of small circle
= 132.67 - 16.61 = 116.06 cm²
NEED ASAP PLSS
5+2x = 2x+6
You want to simplify ? or just find the value ?
If i can get 2 bags of Doritos and its 2 for $7.00. How much is for 1 bag of Doritos?
Answer:
$3.50 for 1 bag
Step-by-step explanation:
To Find How much is for 1 bag of Doritos Divided $7.00 by 2
Which gives you 3.50
Therefore for 1 bag of Doritos = $3.50
ples help meeeeeeeeeeeeeeeeeeeeeee
Answer:
po 989r9 vcmc cohol,j
Step-by-step explanation:
i need it asapp plss
Answer:
#1 is A #2 is C #3 is D #4 is D #5 is D #6 is A
Step-by-step explanation:
I might be wrong for number 5 or the others but hope this works for you.
:)
Which is the best estimate for the length this tube
Answer:
Step-by-step explanation:
PLS SOMEONE HELP PLSSS
Answer:
x=17
Step-by-step explanation:
ok so since lines PR and RQ are congruent (we know because of the lines on them), that means angles P and Q are also equal.
now we can set up the equation to find x like this:
29+29+(8x-14)=180 (180 because the three angles of a triangle always equal 180)
x=17
The ratio of collectible coins Juanita owns to coins that Elia owns is 3:1. Elia has 32 coins. How will the ratio of Juanita’s coins to Elia’s coins change if they both sell one fourth of their coins? Explain.
Mr. Chin's hotel bill is $143. He leaves 12% of the hotel bill as a tip for the housekeeping service. What is the total amount Mr. Chin pays, including tip? $160. 16 $165. 00 $170. 50 $174. 46.
Answer:
$160.16
Step-by-step explanation:
Well first you need to find 12% of 143.
100%=143
10%=14.3
2%=2.86
12%=17.16
Now we add 17.16 to 143 to get 160.16. This means he pays $160.16.
ABC is a right angle triangle. Calculate the length of BC
Give your answer correct in 1 decimal place
AB= 6.7 cm
AC= 16 cm
Answer:
I don't know sorry I haven't studied this at all I am in 7th grade only so
8
Drag and drop the correct angle measures onto the diagram:
DRAG & DROP THE ANSWER
60
65
120
120
115
7
65
Answer:
Step-by-step explanation:
Use the information given to enter an equation in standard form. Slope is 3, and (2, 7) is on the line.
Answer:
3x - y = -1
Step-by-step explanation:
Standard form of equation is Ax + By = C
y - y1 = m (x -x1)
y - 7 = 3 (x - 2)
y - 7 = 3x - 6
3x - y = -7 +6
3x - y = -1
Answer: [tex]y-3x=1[/tex]
Step-by-step explanation:
Standard form :
Ax+By=C
We have a linear function y=kx+b ;
we also know its slope k=3 ; and that it passes through the point (2 ; 7 )
Then:
[tex]y=3x+1[/tex]
now substitute the knowledge of the coordinates of the point
[tex]3\cdot 2+b=7 \\\\ b=7-6\\\\ \underline{b=1\ \ \ \ \ }[/tex]
Then we get the function:
[tex]y=3x+1[/tex]
Standard form :
[tex]y-3x=1[/tex]
Please help and provide work please
Complete the proof:
Explanation:
Statement . . . . Reason
1. AE ≅ CE, AB CD, E is the midpoint of BD . . . . Given
2. BE ≅ DE . . . . definition of midpoint
3. ΔEAB ≅ ΔECD . . . . SSS congruence postulate
C D
U
Refer to the Venn diagram for the following questions.
9
What would best describe the universal set U?
A
B
6
6
3
What would best describe set A?
5
07
2
00
8
What would best describe Au B?
7
4
What would best describe An B?
Intro
<
Done
Answer:
What would best describe the universal set U?
positive integers less than 10
What would best describe set A?
prime numbers in U
What would best describe A ∪ B?
numbers in U that are prime or even
What would best describe A ⋂ B?
even prime numbers in U
Hope it helps!
The universal set is the set of all natural numbers less than or equal to 9
The description of the universal set UThe sets are given as:
A = {2, 3, 7, 5}
B = {2, 6, 8, 4}
Number 1 and 9 are outside the circles.
The universal set is the collection of all elements in the set.
i.e.
U = {1,2,3,4......9}
Hence, the universal set is the set of all natural numbers less than or equal to 9
The description of set AWe have:
A = {2, 3, 7, 5}
The elements of set A are prime numbers between 2 and 7 (inclusive)
Hence, the set A is the set of all prime numbers from 2 to 7
The description of set A u BWe have:
A = {2, 3, 7, 5}
B = {2, 6, 8, 4}
The elements of set A u B is all elements in both sets.
So, we have:
A u B = {2,3,4,5,6,7,8}
Hence, the set A u B is the set of all natural numbers from 2 to 8
The description of set A n BWe have:
A = {2, 3, 7, 5}
B = {2, 6, 8, 4}
The elements of set A n B is the common elements in both sets.
So, we have:
A n B = {2}
Hence, the set A n B is 2
Read more about Venn diagrams at:
https://brainly.com/question/4910584
Alex washed 10 1/2 windows in 3/4 hour. At this rate, how many windows can he wash in one hour?
Answer:
In an hour, Alex can wash 14 windows.
Step-by-step explanation:
10 1/2 windows per 3/4 hour
per usually means a / sign because you are finding the unit rate
10.5/0.75 (I just converted everything into a fraction to make it easier)
solve:
10.5/0.75 = 14
Another way to solve:
10 1/2 / 3/4
= 21/2 * 4/3
= 21*4/2*3
= 84/6
= 14
Check:
If Alex washes 14 windows per hour, you can check by multiplying 14 by 3/4 of an hour
14*3/4
=42/4
=10.5
10.5 is the same as 10 1/2
Can someone help!!!!
Answer:
X = 2/3 and Y = 3
Step-by-step explanation:
Matrix: 3 -1 -1
-3 5 13
Main determinant:
| 3 -1 |
| -3 5| = 12
Dx: |-1 -1|
|13. 5| = 8
X = 8/12 = 2/3
Determinant y:
|3 -1|
|-3 13| = 36
Y = 36/12 = 3
Solve the linear systems using addition or subtraction 7x + 2y = 8;-5x - 2 =-12
Answer:
(2 , -3)
Step-by-step explanation:
7x +2y = 8
-5x - 2 = -12
The only method that uses addition/subtraction is elimination
5(7x + 2y = 8)
7(-5x = 10) I am getting x coefficient to be the same, LCF of 7 and 5 is 35)
(multiply it out and now we can get ready to subtract) *I got 10 by adding 2 to -12*
35x + 10y = 40
-35x = 70
10y = -30
y = -3
substitute y into original equation
7x + 2 (-3) = 8
7x - 6 = 8
7x = 14
x = 2
(2 , -3 )
Answer:
Step-by-step explanation:
Add 5x to both sides to isolate -2:
-5x + 5x - 2 = -12 + 5x
-2 = -12 + 5x
Add 12 to both sides to isolate the 5x:
-2 + 12 = -12 + 12 + 5x
10 = 5x
Divide both sides by 5:
[tex]\frac{5x}{5} = 10 \div 5\\[/tex]
x = 2
Substitute this value into the first equation:
7x + 2y = 8
7(2) + 2y = 8
14 + 2y = 8
Subtract 14 from both sides:
14 - 14 + 2y = 8 - 14
2y = -6
Divide both sides by 2:
2y ÷ 2 = -6 ÷ 2
y = -3
So the coordinate set is:
(2, -3)
Hope this helps!
The first three terms of a geometric sequence are as follows.
2, -8, 32
Find the next two terms of this sequence.
Give exact values (not decimal approximations).
Answer:
-128, 512
Step-by-step explanation:
-8/2 = -4, 32/-8 = -4, so the ratio r = -4. 32*-4 = -128, -128*-4 = 512
Use an equation to find the value of k so that the line passing through (−2,k) and (2,0) has a slope of −1.
Answer:
k = 4
Step-by-step explanation:
Calculate the slope m using the slope formula, then equate to - 1
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, k ) and (x₂, y₂ ) = (2, 0 )
m = [tex]\frac{0-k}{2-(-2)}[/tex] = [tex]\frac{-k}{2+2}[/tex] = [tex]\frac{-k}{4}[/tex] , then
[tex]\frac{-k}{4}[/tex] = - 1 ( multiply both sides by 4 )
- k = - 4 ( multiply both sides by - 1 )
k = 4
What is 5 1/4 + 5.8333333
Answer:
11.0833333
5 1/4
5.83
11.08
Answer:
11.08
Step-by-step explanation:
Because the 3’s are repeating we don’t need to put all of them
Leaks can write a 500 word essay in an hour. If she writes an essay in 10 minutes, about how many words do you think the essay contains. PLEASE TELL ME HOW TOU DID IT! WILL MARK BRAINLIEST
Answer:
83.3
Step-by-step explanation:
Alright so
She can write 500 words per hour
An hour is 60 minutes
500 divided by 6 (because 6x10= 60)
so you get est. 83 words per 10 mins.
To double check, do 83x6= 498, which is because the 83, is 83.3 (repeating)
find the volume of the prism
Answer:
96ft^3 (The third option)
Step-by-step explanation:
The volume of a prism is derived by the formula length*width*height. This is also known as the base*height. The base here is 6*4, but since it's a triangle, we divide by 2 to get 12 as the base. the height is 8, so 12*8=96 ft^3. Hope this helps!
HELP ASAP!!! So is this measuring tape in feet and meters??
Answer:
The top is the inches and the bottom is the cm.
Step-by-step explanation:
I might not be correct but I hope this works
In the figure line m is parallel to line n if m angle 3 = (7x-10) and m angle 6=(5x+10) What are the measures of angle 3 and angle 6
Answer:
Than the other one is a good idea for the angle measured
Measures of angles 3 and 6 is 60°
What are parallel lines?Parallel lines are those straight lines that are always the same distance apart from each other.
Given that, line m is parallel to line n and m ∠ 3 = (7x-10) and m ∠ 6=(5x+10)
Since m ║ n then
m ∠ 3 = m ∠ 6
(7x-10) = (5x+10)
2x = 20
x = 10
m ∠ 3 = 7x-10 = 7*10 - 10 = 60°
m ∠ 6 = (5x+10) = 5*10 + 10 = 60°
Hence, Measures of angles 3 and 6 is 60°
For more references on Parallel lines, click;
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A line has a slope of 9 and a y-intercept of 8. What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer: y=9x+8
Step-by-step explanation:
y=mx+b
y=(slope)x+(y int)
just plug in
y=9x+8
slope^ ^y intercept
Determine the y-intercept of the graph.
Answer:
Your y intercept is 1.
Step-by-step explanation:
slope is y2-y1 over x2-x1, or 2.
slope intercept formula is y=mx+b, and if you plug values into formula you get 3=2(1)+b
and if you solve that, 2x1=2, 3-2=1.
then you get 1 as your y intercept.