Answer:
5 footballs were sold for every 2 basketballs sold.
Step-by-step explanation:
2.5 times as many football as basketball was sold last year
This can be represented as
1 basket ball sold = 2.5 footballs sold
for every 2 basketball sold, number of football sold = 2.5 x 2 = 5 footballs
The parking lot at a grocery store has 90 cars in it. 90% of the cars are blue. How many cars are blue?
a 10 cars
b 81 cars
c 810 cars
d 100 cars
Answer:
81 blue cars
Step-by-step explanation:
Total Cars = 90
How much % are blue = 90
=> 90 x 90/100 = How many cars are blue
=> 8100/100 = the number of cars that were blue
=> 81 = cars that were blue.
There 81 blue cars in the parking lot.
2. Simplify the expression
6xy*(2xy = x?)
Answer:
2+2=4
Step-by-step explanation:
15+21 distributive property
please someone help me to prove this..
Answer: see proof below
Step-by-step explanation:
Use the following Sum to Product Identities:
[tex]\sin x+\sin y=2\sin \bigg(\dfrac{x+y}{2}\bigg)\cos \bigg(\dfrac{x-y}{2}\bigg)\\\\\\\sin x-\sin y=2\cos \bigg(\dfrac{x+y}{2}\bigg)\sin \bigg(\dfrac{x-y}{2}\bigg)\\\\\\\cos x+\cos y=2\cos \bigg(\dfrac{x+y}{2}\bigg)\cos \bigg(\dfrac{x-y}{2}\bigg)\\\\\\\cos x+\cos y=-2\sin \bigg(\dfrac{x+y}{2}\bigg)\sin \bigg(\dfrac{x-y}{2}\bigg)[/tex]
Proof LHS → RHS
[tex]\text{LHS:}\qquad \qquad \qquad \dfrac{\sin 5-\sin 15+\sin 25 - \sin 35}{\cos 5-\cos 15- \cos 25 + \cos 35}[/tex]
[tex]\text{Reqroup:}\qquad \qquad \qquad \dfrac{(\sin 25+\sin 5)-(\sin 35 + \sin 15)}{(\cos 35+\cos 5)-(\cos 25 + \cos 15)}[/tex]
[tex]\text{Sum to Product:}\quad \dfrac{2\sin \bigg(\dfrac{25+5}{2}\bigg)\cos \bigg(\dfrac{25-5}{2}\bigg)-2\sin \bigg(\dfrac{35+15}{2}\bigg)\cos \bigg(\dfrac{35-15}{2}\bigg)}{2\cos \bigg(\dfrac{25+15}{2}\bigg)\cos \bigg(\dfrac{25-15}{2}\bigg)-2\cos \bigg(\dfrac{35+5}{2}\bigg)\cos \bigg(\dfrac{35-5}{2}\bigg)}[/tex][tex]\text{Simplify:}\qquad \qquad \dfrac{2\sin 15\cos 10-2\sin 25\cos 10}{2\cos 20\cos 15-2\cos 20\cos 5}[/tex]
[tex]\text{Factor:}\qquad \qquad \dfrac{2\cos 10(\sin 15-\sin 25)}{2\cos 20(\cos 15-\cos 5)}[/tex]
[tex]\text{Sum to Product:}\qquad \dfrac{\cos 10\bigg[2\cos \bigg(\dfrac{15+25}{2}\bigg)\sin \bigg(\dfrac{15-25}{2}\bigg)\bigg]}{\cos 20\bigg[-2\sin \bigg(\dfrac{15+5}{2}\bigg)\sin \bigg(\dfrac{15-5}{2}\bigg)\bigg]}[/tex]
[tex]\text{Simplify:}\qquad \qquad \dfrac{\cos 10[2\cos 20\sin (-5)]}{\cos 20[-2\sin 10\sin 5]}\\\\\\.\qquad \qquad \qquad =\dfrac{-2\cos10 \cos 20 \sin 5}{-2\sin 10 \cos 20 \sin 5}\\\\\\.\qquad \qquad \qquad =\dfrac{\cos 10}{\sin 10}\\\\\\.\qquad \qquad \qquad =\cot 10[/tex]
LHS = RHS: cot 10 = cot 10 [tex]\checkmark[/tex]
what is 7.3 estimated to
Is the number a rational number? Help me out please!
Answer:
first answer
Step-by-step explanation:
Hi, this is correct because repeating decimals are rational numbers.
Rational numbers can be written by a fraction of integers.
If there is a pattern, it means that this is the division of two integers.
hope this helps
Answer:
yes
Step-by-step explanation:
Can someone send the golden number ?
Answer:
1.618
Step-by-step explanation:
Also known as the golden ratio.Golden ratio, also known as the golden section, golden mean, or divine proportion, in mathematics, the irrational number (1 + Square root of√5)/2, often denoted by the Greek letter ϕ or τ, which is approximately equal to 1.618.
HOPE THIS HELPED!
Between which two integers does square root of /51 lie
Answer:
7 and 8
Step-by-step explanation:
Consider the perfect squares either side of 51
49 < 51 < 64 , thus
[tex]\sqrt{49}[/tex] < [tex]\sqrt{51}[/tex] < [tex]\sqrt{64}[/tex] , that is
7 < [tex]\sqrt{51}[/tex] < 8
Answer:
7 and 8.
Step-by-step explanation:
7^2 = 49 and 8^2 = 64.
2. Which of the following is a common factor of *
4x? - 12x² and 8x² - 4x?
Answer:
Im not sure but hiiiiiiiiii.
Step-by-step explanation:
Please help!!! I'll mark you brainiest and give you as many Points as possible!!!!!
Answer:
Option C
Step-by-step explanation:
[tex]f(x) = 40( \frac{1}{4} )^{x} [/tex]
Answer: its a
Step-by-step explanation:
what would be the answer to g+3=17
Answer:
g = 14
Step-by-step explanation:
g + 3 = 17
minus 3 from both sides
g = 14
Idk how to solve these
Please help me with this!! (20 points)
Answer:
BC, BD
Step-by-step explanation
If right please brainly
Need help! Will mark BRAINLIEST!!!
Answer:
1) 3
2) 7
3) 4
4) 13
5) 5
6) 6
7) 11
8) 8
9) 7
10)80*
11)45*
12) Can't really see sorry
13) Is that the whole question? If not just comment the whole thing and Il'l try answer it ☺ Hope that helped!
Answer:
1. RS = - 2-(-5) = 3
2. R5 = 2 -(-5) = 7
3. ST = 2- (-2) = 4
4. RU = 8-(-5) = 13
5. PQ is a straight line with the length of 5 units.
6. QR is a straight line with the length of 6 units.
7. PR is a straight line with the length of 11 units.
8. AC = 24
4x=24
x=6
AB=6
9. BC = 15
3x=15
BD = 3x + 4x - 13
= 22
I might be wrong
if g(x) = 3 - 2x find g(-1)
Answer:
5
Step-by-step explanation:
g(x) = 3 - 2x
Let x= -1
g(-1) = 3 - 2*-1
= 3 - -2
= 3+2
= 5
Answer:
5
Step-by-step explanation:
g(-1)=3-(2(-1))
g(-1)=3+2
g(-1)=5
Janice published a novel. Last month the book sold 1326 copies, earning Janice a total of $1579.76. This month the book sold 1445 copies. How much should Janice expect to receive in royalties this month?
The difference of the squares of two positive consecutive even integers is 12. Find the integers. Use the fact that, if x represents an even integer, then x + 2 represents the next consecutive even integer
Answer:
2 and 4.
Step-by-step explanation:
(x+2)^2 - x^2 = 12
x^2 + 4x + 4 - x^2 = 12
4x + 4 = 12
4x = 8
x = 2.
Hence the integers are 2 and 4.
Solve for x. Round if needed. Image is below.
Answer:
x = 16
Step-by-step explanation:
3x + 1 = 49 ( vertical angles )
Subtract 1 from both sides )
3x = 48 ( divide both sides by 3 )
x = 16
Scott imports a car from Japan for $12,500. He places an advertisement to sell the car in the newspaper and sells it for $26,800.
How much profit has he made ?
How much percentage gain has he mad on his investment?
Answer:
14300
Step-by-step explanation:
12500-26800
Determine whether the equation below has a one solutions, no solutions, or an infinite number of solutions. Afterwards, determine two values of x x that support your conclusion. x − 5 = x−5= 5 − x 5−x
Answer:
It has 1 solution
[tex]x=5[/tex]
Step-by-step explanation:
Given
[tex]x - 5 = 5 - x[/tex]
Required
Determine the number of solution
[tex]x - 5 = 5 - x[/tex]
Collect Like Terms
[tex]x + x = 5 + 5[/tex]
[tex]2x = 10[/tex]
Divide both sides by 2
[tex]\frac{2x}{2} = \frac{10}{2}[/tex]
[tex]x = \frac{10}{2}[/tex]
[tex]x = 5[/tex]
Since the value of x is 5, then the equation has 1 solution
[tex]x = 5[/tex] is its only value
A function f satisfies f(2)= 3 and f(3) = 5. A
function g satisfies g(3) = 2 and g(5) = 6. What is
the value of f(g(3)) ?
A.) 2
B.) 3
C.) 5
D.) 6
Answer:
B. 3
Step-by-step explanation:
Start with the inside brackets where we have g(3). As seen, g(3) is given to be =2 so g(3) inside the bracket is now replaced with 2, giving us f(2). F(2) is given as 3, therefore the answer is B. 3
Hope this helped!
1. Each of the six cards shows a shape.
N
3
X
5
4
z
a. Which pair of cards shows a shape and its image after a rotation?
b. Which pair of cards shows a shape and its image after a reflection?
Answer:
a). Cards (1) and (4)
b). Cards (3) and (5)
Step-by-step explanation:
(a). From the cards attached,
If card (1) is rotated by an angle of 180° counterclockwise, we get the image given in card (4).
Therefore, card (4) will be the image of card (1) after a rotation.
(b). If we reflect card (3) across a horizontal line (or x- axis) image card (4) is obtained.
Therefore, card (3) and card (5) is the pair of cards.
Two angles from a liner pair. The measure of one angle is 4 times the measure of the other angle. Find the measure of each angle
Answer:
x = 36 degrees, the smaller angle.
4(36) = 144 degrees, The larger angle.
36 + 144 = 180 degrees.
Cleomenius.
Answer:
x = 36 degrees, the smaller angle.4(36) = 144 degrees, The larger angle.36 + 144 = 180 degrees.
Step-by-step explanation:
(1)adjacent- two non-overlapping angles that share a common vertex and a common side
(2)the non-common sides are opposite rays.
(3)adds up to 180
The following graph shows a proportionality between y and x in the graph ?
Answer:
3/1 is the ans
Step-by-step explanation:
here y is in 3
and x is in 1
so proportonality will be 3/1
help on math question pls!!
[tex]-5*(-7)=35[/tex]
[tex]|35|=35[/tex]
[tex]-1*35=-35[/tex]
Hope this helps.
頑張って!
Rachel plans to study 2 hours for her next exam how might plotting her
Is 6.08276 an irrational number
What is m RMS in the figure below?
RA
P
M
128°
T
A 26
B 38
C 52
D 128
Answer:
Option (B)
Step-by-step explanation:
There are two lines PS and QT intersecting each other at a point M.
It's given that m∠PMT = 128° and m∠QMR = 90°
Since ∠PMT and ∠QMS are the vertical angles so these angles will be equal in measure.
∠PMT = ∠QMS
128° = m∠QMR + m∠RMS
128° = 90° + m∠RMS
m∠RMS = 128° - 90°
m∠RMS = 38°
Therefore, Option (B) will be the answer.
Which model represents a fraction less than Three-fifths? A circle divided into 5 equal parts. 4 parts are shaded. A circle divided into 5 equal parts. 2 parts are shaded. A circle divided into 5 equal parts. 6 parts are shaded. A circle divided into 10 equal parts. 8 parts are shaded.
Answer:
The correct answer is:
A circle divided into 5 equal parts. 2 parts are shaded.
Step-by-step explanation:
To determine the fraction less than three-fifths, let us convert the word problems into figures and compare the values:
[tex]Three-fifths = \frac{3}{5} = 0.6[/tex]
a) A circle divided into 5 equal parts. 4 parts are shaded (four-fifths)
[tex]Four-fifths = \frac{4}{5} = 0.8\ (more\ than\ three-fifths)[/tex]
b) A circle divided into 5 equal parts. 2 parts are shaded. (two-fifths)
[tex]Two-fifths = \frac{2}{5} = 0.4\ (less\ than\ three-fifhs)[/tex]
c) A circle divided into 5 equal parts. 6 parts are shaded = [tex]\frac{6}{5} = 1.2[/tex] (more than three-fifths)
d) A circle divided into 10 equal parts. 8 parts are shaded [tex]= \frac{8}{10} = 0.8\ (more\ than\ three-fifths)[/tex]
Therefore, the fraction less than three-fifths = A circle divided into 5 equal parts. 2 parts are shaded. (two-fifths)
A circle divided into 5 equal parts. 2 parts so the answer is B
explanation:
Hope this works<3
[GIVING BRAINIEST] What is 18/6
Answer:
3
Step-by-step explanation:
18/6 = 3