Answer:
$50 and $6
Step-by-step explanation:
(x-6)(250-5x)=0
250x - [tex]5x^{2}[/tex] - 1500 + 30x = 0
-5x^2 + 280x - 1500 = 0
(divide everything by -5)
x^2 -56x + 300 = 0
(factorise)
(x-50)(x-6)=0
x=50, x=6
8 ft.
Area
8 ft.
15 ft.
Answer:
?
Step-by-step explanation:
5. 3/4 divided by 1/5
Step-by-step explanation:
3/4÷1/5
15/20÷4/20
we flip the second fraction and change the ÷ into ×
15/20×20/4=300/80
and now you can simplify this fraction.
Step-by-step explanation:
3/4 / 1/5
3/4 x 5/1
=15/4
A welcome kit contains 3 grocery store and seven drugstore coupons. The coupons are worth $45. Another welcome kit contains three grocery store coupons and six drugstore coupons worth $42. What is the value of each grocery coupon and each drug store coupon?
Answer:
The value of each grocery store coupon is $6
Then the value of each drugstore coupon is $3.
Step-by-step explanation:
Let's define:
G = value of a grocery store coupon.
D = value of a drugstore coupon.
We know that:
"A welcome kit contains 3 grocery store and seven drugstore coupons. The coupons are worth $45"
We can write this as:
3*G + 7*D = $45
And we also know that:
"Another welcome kit contains three grocery store coupons and six drugstore coupons worth $42"
We can write this as:
3*G + 6*D = $42
Then we have the system of equations:
3*G + 7*D = $45
3*G + 6*D = $42
To solve this, we can isolate the term "3*G" in one of the equations (because it appears on both of them)
Let's isolate it on the second equation:
3*G = $42 - 6*D
Now let's replace this on the first equation:
($42 - 6*D) + 7*D = $45
$42 + D = $45
D = $45 - $42 = $3
Then the value of each drugstore coupon is $3.
And we also have the relation:
3*G = $42 - 6*D
We can just replace the value of D to get:
3*G = $42 - 6*$3 = $42 - $24 = $18
G = $18/3 = $6
The value of each grocery store coupon is $6
in an equilateral triangle the sides are 14sqrt7. find the length of the altitude
Answer:
1
Step-by-step explanation:
what is the answer to 35% of 820
Answer:
35%of 820
35/100×820
287
...........
Answer:
287
Step-by-step explanation:
100% = 820
35% = 820 ÷ 100 × 35
= 287
plz help i will give brainliest
Answer:
113°
Step-by-step explanation:
53+6+8= 67
180-67=113
Cynthia Besch wants to buy a rug for a room that is 24 ft wide and 32 ft long. She wants to leave a uniform strip of floor around the rug. She can afford to buy 560 square feet of carpeting. What dimensions should the rug have?
Answer:
[tex]D=(20.42)(28.42)[/tex]
Step-by-step explanation:
From the question we are told that
Width [tex]W=24ft[/tex]
Length [tex]L=32ft[/tex]
She can afford to buy 560 square feet of carpeting
Let
[tex]S=width\ of\ strip[/tex]
Generally the Dimension of the rug is mathematically given as
Width of Rug [tex]W' = (24- 2S)ft[/tex]
Length of Rug [tex]L'= (32-2S) ft[/tex]
Generally the width of strip S is mathematically given by
[tex](32-2s)*(24-2s)=560[/tex]
[tex]-4s-112s+208=0[/tex]
[tex]s_1=-29.7\\s_2=1.748[/tex]
Therefore the width is
[tex]s=1.748[/tex]
Generally the dimension of the rug D is mathematically given as
Width of Rug [tex]W' = (24- 2s)ft[/tex]
[tex]W' = (24- 2(1.79))ft[/tex]
[tex]W' =20.42ft[/tex]
Length of Rug [tex]L'= (32-2S) ft[/tex]
[tex]L'= (32-2(1.79)) ft[/tex]
[tex]L'=28.42 ft[/tex]
Therefore dimension of Rug is given by
[tex]D=(20.42)(28.42)[/tex]
To linear functions are shown below. Which function has a greater rate of change?
who ever answeres this question first gets brainly
plzz help me helppppp I'm almost out of time
Answer:
$6.50 per bag of popcorn
Step-by-step explanation:
let a bag of popcorn be represented by p and a candy bar be b
28p + 40b= $282
17p + 20b= $160.50
this is an example of stimatanelous equations
so you have to double the second equation to give 34p + 40b =$321
subtract the equations to give one
6p =$39
divide $39 by 6 to give the value of one bag of popcorn = $6.50
James wants to buy a house.
The price of the house is a quarter of a million pounds.
James has to pay a deposit for the house.
The deposit is 15% of the price of the house.
James already has part of the deposit.
He has £32 000
(a) How much more money does James need for the deposit?
Answer:
27,200
Step-by-step explanation:
15% of 32,000 pounds is 4,800. Just subtracting them will end you with 27,200.
Which of these relations are functions? Select all that apply.
Answer:
the 1st one and the 3rd one hope that helps!
Step-by-step explanation:
Answer:
Answer C and B are the most resonable!
Step-by-step explanation:
Choose your answer
tan(-20°) = _____.
A. -tan 20°
B. tan 20°
C. tan (-160°)
D. -tan 160°
Answer:
I believe the answer is A) -tan 20°
Step-by-step explanation:
Answer:
tan(-20°) =A. -tan 20°
since angle is positive at only cos -∅ and sec-∅
a. True/False
To complete the square on the left side of the equation x2 - 6x = 9,
you must subtract the number 9 from both sides.
Answer:
True
Step-by-step explanation:
[tex]x^{2} -6x=9[/tex]
subtract [tex]9[/tex] from both sides
[tex]x^{2} -6x-9[/tex]
plz mark me brainliest. ;)
In the book club, the girl to boy ratio is 6 to 9. If there are a total of 45 students, how many girls are there
What is 44 to the second power?
Answer:
1936
Step-by-step explanation:
You would have to multiply 44 by itsself 2 times
44 x 44 =
1,936
Example:
55 to the third power
Multiply 55 3 times since its to the 3rd power
55 x 55 x 55 =
166375
In Las Vegas, Nevada, stores charge a 4.6% state sales tax and a 3.65% county sales tax. Yuki is purchasing a handbag priced at $220 before tax.
How much sales tax does Yuki pay for her handbag purchase?
Answer:
$18.15
Step-by-step explanation:
Yuki is paying tax of 4.6% + 3.65% = 8.25%
Converting to decimal form, that is 8.25/100 = 0.0825
Multiply that by the original sale price. 0.0825 x $220 = $18.15 exactly for tax.
The question asks for the tax, NOT for the total she will pay. Please don't get them mixed up.
With word problems, alwasy double check that you are answering what is actually asked. :)
Which of the following is equivalent to “the product of 2 and 3 is increased by 7”?
A. 2(3) +7
B. (2 + 3) + 7
C. 2(3) – 7
D. (2 + 3) – 7
PLEASE HELP!
i need help can somebody help me thank you
answer please. most accurate gets branliest.
Answer:
m∠U = 36°
m∠V = 75°
m∠T = 69°
Step-by-step explanation:
(2x+14)+(6x+9)+(6x+3)=180
Combine like terms: 14x+26=180
Solve this equation: x=11
Use x=11 to find angles
∠U = 36°
∠V = 75°
∠T = 69°
You can add up all of these measurements to check. =180°
Answer:
The measures of the 3 angles are:Angle T = 69°Angle U = 36°Angle V = 75°Step-by-step explanation:
The Triangle Sum Theorem states that the 3 angles of a triangle must add up to 180°.
We don't know the angles of the triangle, but we do know that the sum of all three unknown angles is 180°.
We set the three expressions together as equal to 180°.
6x + 3 + 6x + 9 + 2x + 14 = 180
Simplify
14x + 26 = 180
Subtract 26
14x = 154
x = 11
Now, we check our answer for x.
6(11) + 3 + 6(11) + 9 + 2(11) + 14 = 180
69 (measure of angle T) + 75 (measure of angle V) + 36 (measure of angle U) = 180
180 = 180 ✅
Note that once we found x, would substitute it in and get the needed measures. Since the needed measures add up to 180°, we know that our answer is correct.
The measures of the 3 angles are:Angle T = 69°Angle U = 36°Angle V = 75°Tony will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $42 and costs an additional $0.18 per mile driven
The second plan has an initial fee of $51 and costs an additional $0.13 per mile driven
E
For what amount of driving do the two plans cost the
Same
Answer:
275 miles
Step-by-step explanation:
I hope this helps.
<><><><>Simple true and false math<><><><>
Answer:
true
Step-by-step explanation:
just my opinion but for me it's true
Answer:
TRUE I AGREE WITH THE PERSON UP ABOVE
Step-by-step explanation:
how many triangles.
What is the acceleration of Romeo's 900 kg horse if it moves with a force of 9000N?
Oliver thinks of a number.
He multiplies this number by 4.
He then subtracts 5.
The result is 23.
What number did Oliver think of?
Answer:
7
Step-by-step explanation:
Add 5 to 23 which gives you 28
Then divide 28 by 4 and you get 7
Hope this helps!
The radius of the front wheel of Monica's bicycle is 1 foot. About how far has Monica traveled after the wheel has made 100 revolutions? (use 3.14 for pi)
Answer:
Distance travel by Monica = 628 ft
Step-by-step explanation:
Given:
Radius of whee l = 1 ft
Number of revolution = 100
Find:
Distance travel by Monica
Computation:
Distance travel by Monica = 100[Circumference of wheel]
Distance travel by Monica = 100[2πr]
Distance travel by Monica = 100[2(3.14)(1)]
Distance travel by Monica = 100[6.28]
Distance travel by Monica = 628 ft
Can anyone help me with these 3 please !
I’ll mark you as a brainliest.
Answer:
72
270
600,000
I wasn't sure what this question means, but I did the math??
like are supposed to switch around the numbers..? haha...
Answer:
1. 72
2. 270
3. 600,000
hope this helps!!
Step-by-step explanation:
The heights of the three tallest boys in a fifth–grade class are 1.575 m, 1.526 m, and 1.474 m. Which is one of the three boys' heights rounded to the nearest hundredth of a meter?
answers
1.57 m
1.48 m
1.52 m
1.47 m
Answer:
D. 1.47
Step-by-step explanation:
Answer:
1.47
Step-by-step explanation:
If an inscribed angle measures 67°, how would you find the intercepted arc?
Multiply the angle measure by two.
Set the angle and arc measures equal.
Divide the angle measure by two.
Answer:
Multiply the angle measure by two.
Step-by-step explanation:
Answer:
you would multiple the angle and measure by two
A quantity with an initial value of 5300 decays exponentially at a rate of 7.5% every 4 hours. What is the value of the quantity after 465 minutes, to the nearest hundredth?
Answer:
Step-by-step explanation: