The sum of two numbers is eleven. One number is thirty-eight less than six times the other. Find the numbers.
Answer:
One of the number is 4 while the other is 7
Step-by-step explanation:
The sum of two numbers is eleven
Let the numbers be x and y
X+ y = 11
One number is thirty-eight less than six times the other
X= 6y-38
X+ y = 11
6y-38 +y= 11
6y+y= 11+38
7y=49
Y= 49/7
Y= 7
X+ y = 11
X+7= 11
X= 11-7
X= 4
Angie and Kenny play online video games. Angie buys 1 software and of game play. Kenny 2 buys software and 6 months of game play. Each software package costs $50. If their total cost is $295, what is the cost of one month of game play?
Answer:
The cost of one month of gameplay is $99.2
Step-by-step explanation:
295/6 + 50
49.2 + 50
99.2
(I rounded to the nearest tenth on multiple occasions)
The perimeter of the rectangle is 48 inches. If the width of the rectangle is 11 inches what is the length?
Answer:
The length is 13 inches.
Step-by-step explanation:
PIZZA CRUST Pepe’s Pizza makes 52 pizza crusts the fi rst week and 180 pizza crusts each subsequent week. Dianne’s Delicatessen makes 26 pizza crusts the fi rst week and 90 pizza crusts each subsequent week. In how many weeks will the total number of pizza crusts made by Pepe’s Pizza equal twice the total number of pizza crusts made by Dianne’s Delicatessen?
Answer:
Always.
Step-by-step explanation:
Let's write two equations.
Pepe's Pizza:
They made 52 pizza crusts the first week and 180 crusts each subsequent week. In other words, in x weeks after the first week, their total number of crusts made is modeled by the equation:
[tex]P=52+180x[/tex]
Dianne's Delicatessen:
They made 26 pizza crusts the first week and 90 crusts each subsequent week. So, in x weeks after the first week, their total number of crusts is modeled by:
[tex]D=26+90x[/tex]
And we want to find the number of weeks such that the number of crusts made by Pepe's Pizza is equivalent to twice the number of crusts made by Dianne's Delicatessen. In other words:
[tex]P=2D[/tex]
Substitute P and D for their equations:
[tex]52+180x=2(26+90x)[/tex]
Distribute the right:
[tex]52+180x=52+180x[/tex]
As we can see, the two equations turns out to be the same.
In other words, no matter what week it is (excluding the first week), the amount of crusts made by Pepe's Pizza will always be twice the crusts made by Dianne's Delicatessen.
Ryan went to the store to buy some apples. The price per pound of the apples is $4.25
per pound and he has a coupon for $2 off the final amount. With the coupon, how
much would Ryan have to pay to buy 5 pounds of apples? Also, write an expression
for the cost to buy p pounds of apples, assuming at least one pound is purchased.
Answer:19.25
4.25p-2
Step-by-step explanation:
Yuki bought a dress on sale for $48. The sale price was for 40% off, what was the original price of the dress
Scott and Greg were asked to add two whole numbers. Instead, Scott subtracted the two numbers and got 16, and Greg multiplied them and got 1305. What was the correct sum?
Answer:
One number is 29, and the other one 45
Step-by-step explanation:
Solve this problem by creating two equations that represents the statements, and solve for the unknowns using substitution:
Let's say that one of the numbers is X , and the other one Y, and assume that Y is larger than X, so when we do their difference we get the 16 units they mention in the problem:
Y - X = 16
The info on the product of the two numbers will give us our second equation:
X * Y = 1305
Now use the first equation to substitute Y with 16 + X, in the second equation:
X (16 + X) = 1305
16 X + X^2 = 1305
X^2 + 16 X - 1305 = 0
Now use the quadratic formula to solve for X, and we get two possible answers: X = -45 or X = 29
So, since we are looking for whole numbers, we discard the negative answer, and keep X = 29
Then, the value of the other number "Y" is = 29 + 16 = 45
Find the product of (5/16)(-2)(-4)(-4/5)
Answer:
It's -2
(5/16)(-4/5)=(-20/80)
(-2)(-4)=(8)
(8)(-20/80)= -160/80
-160/80=-2
One rule of thumb for estimating crowds is that each person occupies 2.5 square feet. Use
this rule to estimate the size of the crowd watching a concert in an area that is 150 feet long
and 240 feet wide
Answer:
The number of people that will occupy 36000 square feet= 14400 people
Step-by-step explanation:
each person occupies 2.5 square feet.
Area of concert in an area that is 150 feet long and 240 feet wide
Area=150*240
Area=36000 square feet
If one person occupies 2.5 square feet
The number of people that will occupy 36000 square feet
= 36000/2.5
= 14400 people
The number of people that will occupy 36000 square feet= 14400 people
Is 10 greater than 10.1
Answer:
no
Step-by-step explanation: 10.1 is .1 higher
Answer:
yes
Step-by-step explanation:
mark as me brainlist
A certain lottery game, 32 numbers are randomly mixed and 7 are selected. A person must pick all 7 numbers to win. Order is not important. What is the probability of winning?
Answer:
Below.
Step-by-step explanation:
The number of combinations of 7 from 32 = 32! / 7! (32-7)!
= 3365856
So it is 1/ 3365856 = 0.000000297
or about 3 in 10,000,000.
If a $20,000 investment earns $1,600 over 2 years, what is the annual interest rate?
Answer:
Annual interest rate = 4%
Step-by-step explanation:
We are given;
Principal; P = $20000
Interest; I = $1600
Period; T = 2 years
Formula for simple interest is;
I = PRT
Making R, rate the subject of the formula gives;
R = I/PT
Plugging in the relevant values gives;
R = (1600)/(20000 × 2)
R = 0.04
In percentage form, R = 4%
15 POINTS
1.) name two planes that intersect in WX in the figure to the right
It is recommended that pregnant women over eighteen years old get 85 milligrams of vitamin C each day. A doctor is concerned that her pregnant patients are not getting enough vitamin C. So, she collects data on 45 of her patients and finds that the mean vitamin intake of these 45 patients is 81 milligrams per day with a standard deviation of 12 milligrams per day. Based on a level of significance of α = .02, test the hypothesis.H0 : u = 85H1 : u< 85n = 45sample mean = 81σ = 12z based on α = .02 = -2.05 ( if lessthan -2.05 we will reject the null hypothesis)Sample standard deviation = 12/√45 = 1.789z= x-u/σ(o sample) - 81-85/1.789 = -2.236-2.236is less than -2.05 so wereject the H0 : u = 85
Answer:
|Z| = 2.237 < 2.32 at 0.02 level of significance
Null hypothesis is accepted
Recommended that pregnant women not over eighteen years old get 85 milligrams of vitamin C each day
Step-by-step explanation:
Step(i):-
Given sample size 'n' = 45
Mean of the Population 'μ' = 85
Mean of the sample 'x⁻' = 81
Standard deviation of the sample 'σ' = 12 milligrams
Null Hypothesis: H₀:μ=85
Alternative Hypothesis: H₁:μ≠ 85
Step(ii):-
Test statistic
[tex]Z = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }[/tex]
[tex]Z = \frac{81 -85}{\frac{12}{\sqrt{45} } }[/tex]
Z = -2.237
Level of significance = 0.02
Z₀.₀₂ = 2.32
|Z| = 2.237 < 2.32 at 0.02 level of significance
Conclusion:-
Null hypothesis is accepted
Recommended that pregnant women not over eighteen years old get 85 milligrams of vitamin C each day
Write the following expression without negative exponents and without parentheses. 5x^-2
Solution:
5x^-2
5 * x^-2
5 * 1/x^2
5/x^2
Best of Luck!
The given expression without negative exponent is [tex]\frac{5}{x^2}[/tex]
Exponents and indicesGiven the indices expression
5x^-2
We are to express with the negative exponent:
According to the indices expression
[tex]x^{-n}=\frac{1}{x^n}[/tex]
Hence the given expression is [tex]\frac{5}{x^2}[/tex]
Learn more on indices here; https://brainly.com/question/10339517
Of the 10 contestants in a televised quiz competition, 2 were eliminated during this week's show, and 2 more will be eliminated during next week's show
How many groups of 6 remaining contestants are possible a week from now? Assume that the show airs on the same day every week.
28
210
20,160
151,200
Answer:a) 28
Step-by-step explanation:
10-2=8
8 objects currently 6 placements for next week = 28 combinations of people of who could stay or leave
Answer:
A
Step-by-step explanation:
The answer is the first one: 28 :) Have a good day everyone!
What is the solution to this system:
4x+9y=28
- 4x-y=-28
Answer:
x = 7
y = 0
Step-by-step explanation:
→To solve this, you can use the elimination method. To do this, you must have one set of variables that can cancel each other out. In the problem given, we already have positive 4x and -4x, making them cancel out:
4x + 9y = 28
-4x - y = -28
__________
8y = 0
y = 0
→Plug in 0 for y, into an equation:
-4x - 0 = -28
-4x = -28
x = 7
Your team scores and -8 and -for on the first two rounds of a game how can you use addition to find your Teams total score
Answer:
-12
Step-by-step explanation:
-8-4=-12
because -×-=+
and -+-=-
why because when you add the highest number gives you the sign
Without shipping costs, a helmet costs 28.86. If Jordan paid 38.02 for the helmet, including shipping, how much did the shipping costs?
Answer:
Jordan paid $9.16 for shipping.
Step-by-step explanation:
1. Which inequality is true?
A.6 π > 18
B.6 π < 18
C.6 π = 18
D.18 > 6 π
Answer:
a
Step-by-step explanation:
a is the answer ..........
Solve the equation. Check for extraneous solutions. |x−2|=6x+8 x=_____ (Type an integer or a simplified fraction. Use a comma to separate answers as needed.)
Answer:
x= -0.857143 = -6/7
Step-by-step explanation:
Margareta is selling freshly baked cookies at 50¢ a cookie, and $2.00 for a pack of 5 cookies. Nathan is selling freshly picked strawberries for $2.00 per pound, and $10.00 for 5 pounds. Who has a proportional relationship between cost and item?
Margareta
Nathan
Both Margareta and Nathan
Neither of them
Answer: Nathan has a proportional relationship between cost and item
Step-by-step explanation:
Using Margareta's statement we will say that if you buy 1 cookie you pay 50 cents and if you by 5 cookies you will pay $2
To find out how much you will pay for one cookie by using the 5 cookies $2 statement we will divide 2 by 5
2/5 = 0.4 which means you pay 40 cents for 1 cookie and that is not equivalent to paying 50 cents per cookie so Margereta method is not proportional.
Nathan sells freshly picked strawberries for $2 per pound and $10 for 5 pounds. Now we want to know how much you have to pay per pound if you were to buy 5 pounds to $10 .
Divide 10 by 5 to find out how much you will pay per pound.
10/5 = 2
So Nathan is selling his strawberries at a proportional rate which is $2 per pound.
Find the least common multiple of 4, 2, and 7
Answer:
28
Step-by-step explanation:
So we know that 2 is already a multiple of 4 so we can just find the least common multiple of 4 and 7. So we can do:
4, 8, 12, 16, 20, 24, 28
7, 14, 21, 28
So the least common multiple between 4, 2, and 7 is 28
simplify the equation
4 power to 2 . 4 power to 4
Answer:
4^6
Step-by-step explanation:
Because they have the same base (4) and are being multiplied together, the powers simply add together so:
4^2 * 4^4 = 4^(2+4) =4^6
Hope this helped!
Factor.
14y2 + 70y
14y2 + 70y=
Answer:
14y(y+5)
Hope this helps!
Answer:
the answer is 14y(y+5)
Step-by-step explanation:
what is the solution to : 3(1/2 m - 3) =45
Answer:
[tex]m=36[/tex]
Step-by-step explanation:
We can solve for this equation by isolating [tex]m[/tex] on one side. To do this, we can "reverse" the equation.
[tex]3(\frac{1}{2}m - 3) = 45[/tex]
Let's divide both sides by 3.
[tex]3(\frac{1}{2}m-3)\div3 = 45\div3\\\\\frac{1}{2}m - 3 = 15[/tex]
Add 3 to both sides:
[tex]\frac{1}{2}m - 3 + 3 = 15 + 3\\\\\frac{1}{2}m = 18[/tex]
Multiply both sides by two (since [tex]\frac{1}{2}\cdot2=1[/tex])
[tex]\frac{1}{2}m \cdot 2 = 18 \cdot 2\\\\m = 36[/tex]
Hope this helped!
Answer:
m = 36
Step-by-step explanation:
Step 1:
3 ( 1/2m -3 ) = 45
Step 2:
3/2m - 9 = 45
Step 3:
3/2m = 54
Step 4:
54 ÷ 3/2
Step 5:
54/1 × 2/3
Answer:
m = 36
Hope This Helps :)
which ordered pair would form a proportional relationship with the point graphed below
A.(-10, 30)
B.(30, -15)
C.(-30, 10)
D.(80, -30)
Answer:
d
Step-by-step explanation:
i took the test
If h(x) = 6 - X, what is the value of (hom (10)?
Answer:
16
Step-by-step explanation:
15+0= 15
O Communative Property
O Associative Property
O identity Property
O Distributive Property
First of all, let's take a look on the question.
[tex]\large{15 + 0 = 15}[/tex]
Here, 0 is added to 15 and the resultant is 15 only. So, we can say that 0 when added with any number gives the same number as the resultant.
So, the property is known as Identity property because 0 is added to get the identity of the same number.
The Correct Option:
[tex] \large{ \boxed{ \red{ \bf{Option \: C}}}}[/tex]
So, let's know more...
Commutative property ➝ a + b = b + aAssociative property ➝ a + (b + c) = (a + b) + cDistributive property ➝ a(b + c) = ab + acSo this is the general form of these properties which is general observed in the rational numbers.
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The difference of the quotient of 5 and x and the product of 18 and y
Answer:
(5/x)-(18y)
Step-by-step explanation:
First write the expression (5/x) and then the second expression (18y) the write the difference, so basically a subtraction. (5/x)-(18y)