Answer:
When b = 28 and c = 4, then a = 56
Step-by-step explanation:
We need to write the equation first
This is an example of a combined variation
if a varies directly as b and inversely as c;
then a = bk/c
where k is the constant of proportionality
We find k first;
16 = (12 * k)/6
k = (6 * 16)/12 = 8
We now want to find a
a = kb/c
a = (8 * 28)/4 = 7 * 8 = 56
(02.02 MC) A basketball team practices their shooting. The function f(x) represents the number of baskets made during practice, where x is the number of players at the practice Does a possible solution of (12.36) make sense for this function? Explain your answer.
Answer:
D step by step explanations
Review the proof of the identity cos(π − A) = −cosA.
cos(π − A)
Step 1: = cosπcosA − sinAsinπ
Step 2: = (−1)(cosA) + (sinA)(0)
Step 3: = −1cosA + (sinA)(0)
Step 4: = −cosA + 0
Step 5: = −cosA
At which step was an error made?
step 1
step 2
step 3
step 4
Answer:
error in step 1
Step-by-step explanation:
well where is does the step not make sense?
remember cos(pi) = -1 and sin(pi)=0
that means step 1 is strange... it didn't distribute properly
it should have been:
cos(pi) - cos(A)
hope that helps! ^-^
The error is made at step 1). The correct trigonometric identity is cos(π - A) = cosπcosA + sinπsinA.
What are trigonometric identities?Trigonometric identities are equalities that involve trigonometric functions and are true for every value of the occurring variables for which both sides of the equality are defined.
cos(π - A) = cosπcosA + sinπsinA
Learn more about trigonometric identities here
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PleEASSSE HELP ME WITH K AND L
pls help ill give brainiest
For your trip to Austin you know you are going to travel 182 miles and your car can do that in 14 gallons. How far can your car travel on 8 gallons of gas?
Answer:
Step-by-step explanation:
for 182 miles you need 14 gallons
??????? 8 gallons
8/14=x/182
x=182*8/14
x miles=104 miles
For some reason, in our history class, there are 14 more boys than there are girls. If a total 32 students are in the class, how many boys and how many girls are there
If h(x) = 6x + (x-1), what is the value of h(-3)?
Answer:
-22
Step-by-step explanation:
y=6x+(x-1) original equation
y=6(-3) +(-3-1) substitute x value
y= -18 + -4 simplify
y=-18-4 solve
y=-22
Karen is taking a standardized test. The more questions she answers correctly, the greater her final test score will be.
Which of the variables is independent and which is dependent?
Answer:
they are bothdependant
Step-by-step explanation: they have to be because her test score depend on the number of answers she gets correct
Kenya picked 18 flowers from her garden. If 3/5 of flowers in her garden remain unpicked, how many flowers are still in her garden?
Answer:
45
Step-by-step explanation:
picking 18 flowers = 2/5 of garden or 40%
18÷.4=45
geometry solving for x in triangles
Answer:
- 8°
Step-by-step explanation:
Step 1:
40° + x + 58° + 90° = 180° Sum of a Δ
Step 2:
188° + x = 180° Combine Like Terms
Step 3:
x = 180° - 188° Subtract 188 on both sides
Answer:
x = - 8°
Hope This Helps :)
A book has 240 pages and each day 10 pages are
read. The number of pages left, p, is given as a
function of d, the time in days, where
p = 240 – 10d . Graph the equation, then use its
x-intercept to determine when the book will be
finished?
Answer:
24 days is the answer
Step-by-step explanation:
If the book is 240 pages and each day 10 pages are read you could easily divide 240 by 10 and get 24. However, you need to use the formulas for your answer I suppose. So, to get the x-intercept this is what you do. You have to use the slope-intercept form y = mx+b where m=-10 and b = 240 so you end up with y = -10x+240
So now you solve for x-intercept
0 = -10d+240
subtract 240 from both sides so 0 = -10d + 240
-240 -240
you are left with -240 = -10d. Now simplify and divide each term by -10 -240/-10 = 24 and -10d/-10 = d
you are left with d = 24 or 24 = d
You graph the equation by placing a point at 240 on the y axis and 24 on your X-axis.
Logan went shopping at the mall. He spent $75.43 on shoes, $25.14 for a t‐shirt, and $43.85 on a denim jacket. How much did he spend in all? If Logan paid the cashier $200 in cash, how much money will he get back? *
Answer:
He spent 144.42 and he got back 55.58
Step-by-step explanation:
What does X equal x+10
Multiply.
3/8x4/5
Express your answer in simplest form.
Answer: 3/10 or (Decimal form: 0.3)
x+3+7(x-5) show work
Answer:
8x-32
Step-by-step explanation:
x+3+7(x-5)
Distribute
x+3 +7x -35
Combine like terms
x+7x +3 -35
8x-32
there are 4 swimmers. amy swam 2 more laps than sean. katie swam twice as many laps as sean. tom swam 4 more laps than katie. all together the 4 swimmers swam a total of 78 laps. how many laps did sean swim?
Answer:
Sean swam 12 laps.
Step-by-step explanation:
Let S represent Sean
Let S+2 represent Amy
Let 2S represent Katie
Let 2S + 4 represent Tom
Now add together and set it equal to 78
S + S+2 + 2S + 2S+4 = 78
6S + 6= 78
6S=72
S=12
A stage for a wedding venue needs to measure 280 square feet.The length is listed as (x-12), and the width is listed as (x-18).What are the dimensions of the stage?
Answer:
Length: 20, Width: 14
Step-by-step explanation:
(x-12)(x-18)
x^2-30x+216=280
x^2-30x-64=0
x=32,-2
Plug 32 into x, and see if it equals 280
A summer camp has 720 ft of float line with which to rope off three adjacent rectangular areas of a lake for swimming lessons, one for each of three levels of swimming ability. A beach forms one side of the swimming areas. Suppose that the width of each area is x feet. Answer parts a) through c).
Step-by-step explanation:
Kindly find attached a detailed image to better understand the solution to this problem.
given that the total length of the line is 720ft
and also the line is divided into three sections
This means that the line will also be divided into three parts
720/3= 240feet so that a section will have two sides that are 240ft since the section forms a rectangular shape.
now for the other two sides
the total length of the rope is = one length size of the rectangle+ 4 width size of the rectangle
one width size of the rope is x
then 4 width size is 4x
720=length of rectangle +4x
length of rectangle= 720-4x
area of a rectangle is =length *width
area of rectangle is = (720-4x)*x
Hence the function A= (720-4x)x can be used to solve for the area of the rectangle.
what is 3х + 9 = 24?
Answer:
answer is 5
Step-by-step explanation:
Step 1: Subtract 9 from both sides.
3x+9−9=24−9
3x=15
Step 2: Divide both sides by 3.
3x
3
=
15
3
x=5
if m2 = 125, m12= 37 and m18 = 102, find the measure of each angle
Answer/Step-by-step explanation:
Given:
m<2 = 125°
m<12 = 37°
m<18 = 102°
a. m<1 + m<2 = 180° (linear pair)
m<1 + 125° = 180° (substitution)
m<1 = 180° - 125°
m<1 = 55°
b. m<3 = m<18 (alternate exterior angles)
m<3 = 102° (substitution)
c. m<4 + m<3 = 180° (linear pair)
m<4 + 102° = 180° (substitution)
m<4 = 180° - 102°
m<4 = 78°
d. m<5 = m<2 (vertical angles)
m<5 = 125° (substitution)
e. m<6 = m<1 (vertical angles)
m<6 = 55° (substitution)
f. m<7 = m<12 (alternate angles)
m<7 = 37° (substitution)
g. m<8 + m<12 + m<13 = 180° (sum of triangle)
m<12 = 37° (given)
m<13 = m<18 = 102° (vertical angles)
m<8 + 37° + 102° = 180° (substitution)
m<8 + 139° = 180°
m<8 = 180° - 139°
m<8 = 41°
h. m<9 = m<18 (corresponding angles)
m<19 = 102° (substitution)
i. m<10 = m<6 (alternate interior angles)
m<10 = 55°
j. m<11 + m<6 + m<7 = 180° (sum of triangle)
m<11 + 55° + 37° = 180° (substitution)
m<11 + 92° = 180°
m<11 = 180° - 92°
m<11 = 88°
k. m<13 = m<18 (vertical angles)
m<13 = 102°
l. m<14 = m<4 (corresponding angles)
m<14 = 78°
m. m<15 = m<5 (corresponding angles)
m<15 = 125°
n. m<16 = m<6 (corresponding angles)
m<16 = 55°
o. m<17 = m<14 (vertical angles)
m<17 = 78°
1. Canada's population is currently increasing at a rate of 1.4% per year. If our current population is 37 590 000, what will our population be next year?
2. A bag of potato chips costs about $0.50 to make. If they are sold for 336% of the wholesale price, what do they cost in stores?
3.In a bicycle store, a $500 bicycle is marked, "Get a 36% discount." What is the sale price of the bicycle?
Answer:
1. 37590000x0.986=37034160
2. 0.5x3.36=1.68
3. 500x0.64=320
What is 1 1/4 + 2/3 it didn’t show me the answer that I was looking for I’m adding there were showing me to multiple.
Answer:
1 11/12
Step-by-step explanation:
rewriting our equation with parts separated
=1+14+23
Solving the fraction parts
14+23=?
Find the LCD of 1/4 and 2/3 and rewrite to solve with the equivalent fractions.
LCD = 12
312+812=1112
Combining the whole and fraction parts
1+1112=11112
Solution by Formulas
First:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
54+23
Applying the fractions formula for addition,
=(5×3)+(2×4)4×3
=15+812
=2312
Simplifying 23/12, the answer is
=1 11/12
Answer:
1 11/12
Step-by-step explanation:
add wholes = 1
then fractions 1/4 = 3/12 2/3=8/12
this then equals 1 11/12
write a equivalent expression for 12a+60
Answer: 12(a+5)
Step-by-step explanation: factor out 12 from the expression
ANSWER 12(a+5)
PLEASE HELP WILL GIVE BRAINLIEST!!!
Answer:
i think its b is it isn't dont beat me up
PLZ HELP ME I WILL GIVE THANKS 5 STARS BRAINLIEST
Answer:
$0
Step-by-step explanation:
71 + 62 + 59 = $192192 ÷ 3 = $64Because she already has an average of $64, she can't spend anymore. Therefore, the answer is $0I hope this helps!
Answer:
she can spend no more than 64, and if this is incorrect, do 63
Step-by-step explanation:
Find the length of the line segment shown. Round your answer to the nearest tenth.
Answer:
[tex]d=10[/tex]
Step-by-step explanation:
Distance Formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Step 1: Define endpoint coordinates
(2, 5)
(-6, -1)
Step 2: Substitute and Evaluate
[tex]d=\sqrt{(-6-2)^2+(-1-5)^2}[/tex]
[tex]d=\sqrt{(-8)^2+(-6)^2}[/tex]
[tex]d=\sqrt{64+36}[/tex]
[tex]d=\sqrt{100}[/tex]
[tex]d=10[/tex]
Choose the answer that makes the sentence blank true real numbers are integers
i don't think any one can answer this and you be more specific
I have three squares and I want to divide them by 3/4
How many pieces would I have
Answer:
4
Step-by-step explanation:
i belive this is the answer becuase 3 divided by (3/4)
Dividing a number by 2 is the same as multiplying that number
by:
I WILL MARK YOU AS BRAINLIEST
PLEASE HELP AS SOON AS POSSIBLE
Answer:
6
Step-by-step explanation:
Answer:
$15
Hope this helps! Please mark Brainliest!
write the sentence as an inequality
a number m is more than -7 2/3 or at most -10
See attachment for math work and answer.
The given statement in the form of inequality can be written as,[tex]-7 \dfrac{2}{3} \leq m \leq -10[/tex]
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
It is given that,
A number m is more than -7(2/3) or at most -10
From the given data it is observed that the value of the number lies between -7(2/3) and -10.\
The given data can be written in the terms of inequality as,
[tex]-7 \dfrac{2}{3} \leq m \leq -10[/tex]
Thus, the given statement in the form of inequality can be written as,[tex]-7 \dfrac{2}{3} \leq m \leq -10[/tex]
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