John runs 6.5 miles in 30 minutes. If he continues at this rate for 1 hours, determine his rate of change .
Answer: 13 miles
Step-by-step explanation:
30 min plue 30 min is 1 hour
if he runs 6.5 in 30 you just have to add 6.5 and 6.5 which equals 13
Find m ∠ B if mAB = 120° and m ∠ A= 42º.
A)78°
B)80
C)18
D)156
Answer:
∠B = 78°
Step-by-step explanation:
∠C = 1/2 arc AB = 1/2(120°) = 60° because it is an inscribed angle
∠B = 180° - 42° - 60° = 78°
The measure of ∠ B is 78°.
What is inscribed angle?An inscribed angle is the angle formed in the interior of a circle when two chords intersect on the circle. It can also be defined as the angle subtended at a point on the circle by two given points on the circle.
What is inscribed angle theorem?The inscribed angle theorem states that an angle θ inscribed in a circle is half of the central angle 2θ that subtends the same arc on the circle.
According to the question
m ∠ A= 42º.
mAB = 120°
By inscribed angle theorem :
mAB = 2 m∠C
120° = 2 m∠C
m∠C = 60°
now,
according to the sum of angle of triangle
m ∠ B + m∠C + m ∠ A = 180°
m ∠ B +60° + 42º= 180°
m ∠ B = 78°
Hence, the measure of ∠ B is 78°.
To know more about inscribed angle theorem here:
https://brainly.com/question/5436956
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algebraic expression 5a² - 25b²
Answer: = 5 (a-5b)(a+b)
Step-by-step explanation:
= 5a² - 25b²
= 5 (a²-5b²)
= 5 (a-5b)(a+b)
Which of the following is a solution for the equation x /6 = 7? A. x = 1 B. x = 6 C. x = 7 6 D. x = 42
Answer:
x = 42
Step-by-step explanation:
[tex]\frac{x}{6} = 7[/tex]
Multiply both side of the equation by 6.
[tex]6(\frac{x}{6} ) = 7 * 6[/tex]
∴ x = 42
So, the answer is D.
Hope this helps
SOMEONE ANSWER FASTT!!
*create an equation for this situation. Use the equation to solve the problem. (Algebra)
Some Girl Guides are raising money for their jamboree. Their goal is to raise $1000, They already have $232 from the bake sales. To raise the remainder, they are planning a walk-a-thon. if each person walking raises $24, how many walkers will the Girl Guides need to reach their goal?
The school swim team has 12 freshmen, 10 sophomores, 15 juniors and 5 seniors. The team is headed by 4 coaches
Answer:
simplified its 5:4 for juniors to freshmen's
Step-by-step explanation:
Answer:
5 : 4
Step-by-step explanation:
Ratio of juniors to freshmen = 15 : 12
15 = 3 * 5
12 = 3 * 4
GCF = 3
15 : 12 = 15÷3 : 12÷ 3
= 5 : 4
will give brainliest
Answer:
whats (2x)x(76) x is 50 btw im new
Step-by-step explanation:
Grapes cost $3.25 per pound. Darius paid a total of $26 for grapes.
How many pounds of grapes did Darius buy?
Answer:He buys 8 pounds
Step-by-step explanation:
You can either just add up the $3.25 until you get to the end-price, but that wont always work for every problem. The best way is to divide the 26 with the 3.25 in a written devision.
Answer:
he buys 8 pounds
Step-by-step explanation:
you add up until you get to 26 and then count how many times you added :)
I need help fast thank you
Answer:
RO = 39.5
Step-by-step explanation:
RO/9 = 57/13
13RO = 513
RO = 513/13
RO = 39.46
Answer:
39.5
Step-by-step explanation:
[tex]\frac{KN}{NM} =\frac{RO}{RQ} \\\\\frac{9}{13} =\frac{x}{57} \\\\13x=513\\x=39.5[/tex]
What is the same as 7/3
Answer:
3.5/1.5 or 14/6
Step-by-step explanation:
equivalent
A bakery used 37% more chocolate chips this month than last month. If the bakery used 320 pounds of chocolate chips last month, how much did it use this month?
Answer:
438.4
Step-by-step explanation:
100% + 37% = 137% = 1.37
320 x 1.37 = 438.4
so the answer that I got is 438.4
I really hope this helps
A painter can paint 120 square feet with 4 gallons of paint. Which statement about the unit rate is true?
Answer:
30 (ft^2/gal)
Step-by-step explanation:
The "unit rate" in this problem is (number of square feet covered) / (1 gallon paint).
Here we have the unit rate
120 ft^2
---------------- = (30 ft^2)/gal or 30 (ft^2/gal)
4 gallons
What is the solution to the system of equations? 5x+3y=18 2x−3y=10
PLEASE NEED HELP ASAP
You can download answer here
tinyurl.com/wpazsebu
Answer:
288mm^2
Step-by-step explanation:
Formula: A=2(wl+hl+hw)
Answer: 2·(14·6+3·6+3·14)
2 • (84 + 3•6 + 3•14)
2 • (84 + 18 + 3•14)
2 • (84 + 18 + 42)
2 • 144 =
288mm^2
Press answer 2 on the question of the image you inserted
Expand and simplify
2(m - 3) + 3(m + 4)
Answer:
5m+6
Step-by-step explanation:
Hello There!
We can simplify the given expression using distributive property
We can distribute the 2 to the m and - 3
2 * m = 2m
2 * -3 = -6
Now lets distribute the 3 to the m and the 4
3 * m = 3m
3 * 4 = 12
we´re left with
2m - 6 + 3m +12
our final step would be to combine like terms
2m + 3m = 5m
-6 + 12 = 6
so the simplified version would be
5m+6
Find the volume of the cube. *
Answer choices: 30 1/2, 33 3/4, 31 1/4, 32 1/3
Answer:
volume = wide x length x deep
= 3{1/3} ft x 2{1/2} ft x 3{3/4}ft
= 10/3ft x 5/2ft x 15/4ft
= (10 x 5 x 15)/(3 x 2 x 4) ft^3
= 125/4 ft^3
= 31{1/4} ft^3
Step-by-step explanation:
I WILL GIVE BRAINLIEST!!!
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
Help please
Find the value of x when y=0. x + 4 = y
Answer: x = -4
Step-by-step explanation:
-4 + 4 = 0
if y = 0 then X will be -4
Answer:
hello
Step-by-step explanation:
answer is x=-4
because if we add
4-4=0
x+4=0
-4+4=0
PLEASE HELP ASAPPPPPP!!!!!!!!!!!!
Answer:
324
Step-by-step explanation:
divide 752 by 2 to get 376
then subtract 52 from 376 to get 324
find a line that is parallel to y=-2x+7 and passes through a point of (1,-1)
Answer:
y=-2x +1
Step-by-step explanation:
hope this helps
what is 1 1/4 divided by 1 2/5 for kahn academy ?
Answer:
25/28
Step-by-step explanation:
5/4 x 5/7 = 25/28
Answer:
25/28
Step-by-step explanation:
I -9I = ____
HELP HELP ME ME ASAP PLEASE
Answer:
9
Step-by-step explanation:
l l means absolute value
the absolute value of any negative number is the same number but positive
so the absolute value of -9 is positive 9
Answer:
9
Step-by-step explanation:
Absolute value (or the lines) makes everything inside of it positive, so |-9| = 9
Someone please help!!
What is parallel to what?
Answer:
LS is parallel to MN
Step-by-step explanation:
LS and MN are the only lines to have the parallel symbol (the 2 arrows)
The 2000 population of a city was 705,000 and was increasing at the rate of 1.51% each year. At that rate, when will the population be 1 million
Answer:
The population would be 1 million in 2024.
Step-by-step explanation:
In order to find the answer you can use the population growth formula:
A= P*e^rt
A=Population after time=1,000,000
P= Starting population=705,000
e= Euler number that is equal to 2.718
r= rate of growth=0.0151
t= time
Now, you can replace the values on the formula and solve for t:
1,000,000 = 705,000*e^0.0151t
1,000,000/705,000 = e^0.0151t
ln(1,000/705) = ln(e^0.0151t)
ln(1000/705) = 0.0151t
t = [ln(1000/705)]/0.0151
t = 23.14 years
According to this, the answer is that the population would be 1 million in 2024.
For a snack, mrs graham gives her student graham crackers. She has a package of 20 graham crackers to share equally to 8 students. How many graham crackers does each student receive
Answer:
2.5
Step-by-step explanation:
graham crackers each student receive = total number of crackers / total number of students
20 / 8 = 2.5
In the standard (x,y) coordinate plane a right triangle has vertices at (-3,4)(3,4)(3,-4) what is the length in coordinates units of the hypotenuse of this triangle
Given:
The vertices of a right triangle are:
[tex](-3,4),(3,4),(3,-4)[/tex]
To find:
The length of the hypotenuse of the given right triangle.
Solution:
Let the vertices of the right triangle are [tex]A(-3,4),B(3,4),C(3,-4)[/tex].
The distance formula is:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using distance formula, we get
[tex]AB=\sqrt{(3-(-3))^2+(4-4)^2}[/tex]
[tex]AB=\sqrt{(3+3)^2+(0)^2}[/tex]
[tex]AB=\sqrt{(6)^2+0}[/tex]
[tex]AB=\sqrt{36}[/tex]
[tex]AB=6[/tex]
Similarly,
[tex]BC=\sqrt{(3-3)^2+(-4-4)^2}[/tex]
[tex]BC=\sqrt{(0)^2+(-8)^2}[/tex]
[tex]BC=\sqrt{64}[/tex]
[tex]BC=8[/tex]
And,
[tex]AC=\sqrt{(3-(-3))^2+(-4-4)^2}[/tex]
[tex]AC=\sqrt{(6)^2+(-8)^2}[/tex]
[tex]AC=\sqrt{36+64}[/tex]
[tex]AC=\sqrt{100}[/tex]
[tex]AC=10[/tex]
Now, taking sum of squares of two smaller sides, we get
[tex]AB^2+BC^2=6^2+8^2[/tex]
[tex]AB^2+BC^2=36+64[/tex]
[tex]AB^2+BC^2=100[/tex]
[tex]AB^2+BC^2=AC^2[/tex]
By the definition of the Pythagoras theorem, AC is the hypotenuse of the given triangle.
Therefore, the length of the hypotenuse is 10 units.
On a local swim team 6 members each swam 1,685 meters during the season. How many total kilometers did the 6 members swim during the season
Answer:6 members swam 10.11Km during the season
Step-by-step explanation:
Number of members = 6
meters swam by each of the 6 members = 1,685 meters
Total meters swam by the 6 members during the season
= 1,685 meters X 6
=10,110 meters
But 1000m =1km
10,110 m =10.11Km
150p + 200 + 10p= 1200 SHOW ALL STEPS
150+10=160
160p+200=1200
-200 -200
160p= 1000
1000/160= 6.25
Urgent!!! A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). The one-time fixed costs will total $44,376. The variable costs will be $8.25 per book. The publisher will sell the finished product to bookstores at a price of 19 per book. How many books must the publisher produce and sell so that the production costs will equal the money from sales?
Answer:
4,128 books
Step-by-step explanation:
Let
x = number of books
Fixed cost = $44,376
Variable cost = $8.25 per book
Total cost = fixed cost + variable cost
Total cost = 44,376 + 8.25x
Selling price of book = $19 per book
Total revenue = 19x
How many books must the publisher produce and sell so that the production costs will equal the money from sales?
Total cost = Total revenue
44,376 + 8.25x = 19x
44,376 = 19x - 8.25x
44,376 = 10.75x
x =44,376/10.75
x = 4,128 books
The publisher must produce and sell 4,128 books so that the production costs will equal the money from sales