Answer:
In 5 years the product of their ages will be 208
Step-by-step explanation:
The age of two children is 11 and 8 years.
Let's call x the number of years ahead.
We need to find when the product of their future ages is 208. The 11 years old child will be 11+x years old and the other child will be 8+x years, thus:
(11+x)(8+x)=208
Operating:
[tex]88+11x+8x+x^2=208[/tex]
Simplifying:
[tex]x^2+19x-120=0[/tex]
Factoring:
(x-5)(x+24)=0
Solving:
x=5, x=-24
The negative solution is not valid, thus x=5
In 5 years the product of their ages will be 208
the point (0 0) is a solution to which of these inequalities
Answer:
(0, 0) is the solution of the inequality y - 9 > 3x - 10.
Step-by-step explanation:
Given the solution point
(0, 0)Let us substitute the point (0, 0) in the inequality to determine which inequality satisfies the equation or not.
CHECKING FOR
y - 9 > 3x + 10y - 9 > 3x + 10
substiture (0, 0) i.e. x = 0, y = 0 in the inequality
0 - 9 > 3(0) + 10
-9 > 10
FALSE
CHECKING FOR
y - 9 > 3x - 10y - 9 > 3x - 10
substiture (0, 0) i.e. x = 0, y = 0 in the inequality
0 - 9 > 3(0) - 10
-9 > 10
True
CHECKING FOR
y + 9 > 3x + 10y + 9 > 3x + 10
substiture (0, 0) i.e. x = 0, y = 0 in the inequality
0 + 9 > 3(0) + 10
9 > 10
FALSE
Therefore, we conclude that only the second inequality i.e. y - 9 > 3x - 10 satisfies the inequality.
Hence, (0, 0) is the solution of the inequality y - 9 > 3x - 10.
Brent bought 6 packages of Kool-Aid mix priced at for $0.29 each and 2 packages of Sugar priced at $3.92 each and a gallon of water for $0.95. What is the total amount she spent, on the Kool-Aid and Sugar?
Answer:
kool-aid - $1.74
Sugar - $7.84
Total =$9.58
Step-by-step explanation:
kool-aid = $ 0.29 × 6 = 1.74
×6 because she bought 6 packages of Kool-aid and the price of each was $0.29
sugar = $3.92×2 = 7.84
×2 because she bought 2 packages of sugar and price for each was $3.92
total = $9.58
Add $1.74 + $7.84
-25+x=54 what represents x
Answer:
x=79
Step-by-step explanation:
Laura sold t-shirts at a festival. She made $6 for each t-shirt she sold. Her expenses were $30. If she made a profit of $84, how many t-shirts did she sell?
(a) Write an equation that could be used to answer the question above.
First, choose the appropriate form. Then, fill in the blanks with the
numbers 6, 30, and 84. Let x represent the number of t-shirts.
Answer:
The equation is:
[tex]x=\frac{Total\:Expenses+Profit}{Cost\:of\:1\:shirt}[/tex]
Solving we get: Laura sold 19 shirts in the festival.
Step-by-step explanation:
Cost of 1 shirt = $6
Total expenses = $30
Profit made = $84.
We need to write equations that helps in finding the number of t-shirts Laura sold.
Let x= represents number of t-shirts
Since profit was $84, and expense was $30
So, Total money earned = Total expense + Profit
Now, 1 shirt cost 6 dollars, so if we divide Total Money earned by 6 we can find x (the number of shirts sold)
Writing equation:
[tex]\mathbf{x=\frac{Total\:Expenses+Profit}{Cost\:of\:1\:shirt}}[/tex]
Putting values we can find x
[tex]x=\frac{30+84}{6}\\x=\frac{114}{6}\\x= 19[/tex]
So, Laura sold 19 shirts in the festival.
i need help please!!
Answer:
a
Step-by-step explanation:
2 x 2=4
4+3=7
Answer:
x*2+3=7
x=2
Step-by-step explanation:
The length of a rectangular garden is 3 yd less than twice its length. The perimeter of the garden is 78 yd. What are the width and length of the garden?
Complete question :
Answer:
Width = 14 yards ; length = 25 yards
Step-by-step explanation:
Given that :
The length of a rectangular garden is 3 yd less than twice its length. The perimeter of the garden is 78 yd. What are the width and length of the garden?
Width of garden (W) = w
Lenght of garden (L) = 2w - 3
Perimeter of a rectangle : 2 (L + W)
2(2w - 3 + w) = 78
2(3w - 3) = 78
6w - 6 = 78
6w = 78 + 6
6w = 84
w = 14 yards
Length = 2(14) - 3
Length = 28 - 3 = 25 yards
The number of students enrolled at a community college increased by 12% from last year to this year. The enrollment last year was 15,500. How many students are enrolled this year
Answer:
17,360
Step-by-step explanation:
12% of 15,500 = 1,860
15,500 + 1,860
Below are statements that can be used to prove that the triangles are similar.
On a coordinate plane, right triangles A B C and Z Y X are shown.
1. StartFraction A B Over Z Y EndFraction = StartFraction B C Over Y X EndFraction = 2
2. ∠B and ∠Y are right angles.
3.?
4.?
Which two statements are missing in steps 3 and 4?
∠X ≅ ∠C
△ABC ~ △ZYX by the SAS similarity theorem.
∠B ≅ ∠Y
△ABC ~ △ZYX by the SAS similarity theorem.
StartFraction A C Over X Y EndFraction = 2
△ABC ~ △ZYX by the SSS similarity theorem.
StartFraction Z X Over A C EndFraction = 2
△ABC ~ △ZYX by the SSS similarity theorem.
Answer: ∠B ≅ ∠Y
△ABC ~ △ZYX by the SAS similarity theorem.
Step-by-step explanation: I just got 100% in edge when i took the test! i hope this helps you! -Lettu
Answer:
B
Step-by-step explanation:
EDGE!
What is the value of x in the diagram?
#3
A) 530
B) go
127°
349
C) 112
146°
D) 180°
Answer: 180
Step-by-step explanation:
In the past month, Eric rented 1 video game and 6 DVDs. The rental price for the video game was $2.20. The rental price for each DVD was 3.70 What is the total amount that Eric spent on video game and DVD rentals in the past month?
Can someone answer this please?
Answer:
t = -1
Step-by-step explanation:
-1 x 6 = -6, -6 - 1 = -7
write a division expression that would have a result of 28
Division ___ ÷ ___ = 28
Answer:
14÷2=28
Step-by-step explanation:
8.5, 8.409, 8.47, 8.357, 8.41, 8.458
LESS GREATER HELP ASAP
Answer: Least to greatest, 8.357, 8.409, 8.41, 8.458, 8.47, 8.5
Step-by-step explanation:
The sum of two numbers is negative. The product of these two same numbers is also negative. What can you conclude about these two numbers? Be as specific as you can. Give an example of two numbers that meet these requirements.
Answer:
5 and -8
Step-by-step explanation:
One number must be negative since the product of the 2 number is negative (5 x -8 = -40). They both cannot be negative, if they were the product would then be positive. The negative number must have a absolute value that is larger than the positive, the negative numbers distance from 0 must be larger than the positive, -8 has a distance of 8 and 5 has a distance of 5. The sum of the two numbers is
=5 + (-8)
=5 - 8
= -3
Pls help me with this question.
Answer:
C or D would be the best answers to choose from
Step-by-step explanation:
What is the first step in evaluating the expression shown below? (12.9 – 3.1) × 6.2 – 2 + 43 A. Multiply 3.1 and 6.2. B. Add 2 and 43. C. Subtract 3.1 from 12.9. D. Subtract 2 from 6.2.
Answer: Subtract 3.1 from 12.9
Step-by-step explanation:
The first step in evaluating the expression (12.9 – 3.1) × 6.2 – 2 + 43 is to open the bracket first and then subtract 3.1 from 12.9 which will give 9.8.
This follows the rule of BODMAS which says that B which stands for Bracket must be opened and solved first in a given expression.
the sum of two numbers is 39. the larger number is 23 more than the smaller number. what are the numbers
Error Analysis A classmate found the slope of the line passing through (8,-2) and (8.10), as shown at the right. Describe your classmate's error. Then find the correct slope of the line passing through the given points.
Answer:
m=undefined; 12/0
Step-by-step explanation:
The classmate's mistake is that she should have placed the y and top and the x on the bottom.
m= 10+2/8-8
m= 12/0
The slope is undefined, meaning that it is a vertical line.
What smallest number must be multiplied with 132 to convert it to a perfect square? (Work on a paper and upload the picture)
Answer:
3
Step-by-step explanation:
FREE “BRAINLESS”!! Keep it going EGGS BACON GRITS SAUSAGE
I need help !!!!!!!!!
Answer:
i think b
Step-by-step explanation:
A gymnast trains for 4 months for her competition how many weeks did she train.
Answer:
16 weeks
Step-by-step explanation:
Assuming that each month is around 4 weeks, multiply that number by 4 months and you will get 16 weeks in total.
Answer:
16
Step-by-step explanation:
there are 4 weeks in every month. Therefore, if she trained for 4 months, she trained for 16 weeks. (4*4=16)
Which set of measurements could make a triangle?
1) 1 mm, 2 mm, 3 mm
2) 7 mm, 4 mm, 3 mm
3) 9 mm, 10 mm, 8 mm
4)11 mm 8 mm, 20 mm
help me fast please
Answer:
3.) a. 9mm b. 10mm c. 8mm
Step-by-step explanation:
All you have to do is use the Triangle Inequality Theorem, which states that the sum of two side lengths of a triangle is always greater than the third side. If this is true for all three combinations of added side lengths, then you will have a triangle.
Formula:
a + b = (answer) > c
a + c = (answer) > b
b + c = (answer) > a
try to solve it yourself so you can do it on your own in the future.
Which expression is equivalent to -6 ( 3x-2/3)?
-2x + 9
-3x + 6 2/3
-18x+12
-18x+4
Answer:
-18x + 4
Step-by-step explanation:
Answer:
D.
Step-by-step Explanation
The force of gravity between two objects is given in the relation: g=6.67*(10)^ -11 , k1.k2 d^ 2 Where k1 and k2 are the body masses in kilograms (kg) (d) is the distance between the two objects in meters (m). (g) is the force of gravity. Find the distance between the Earth and the Moon if the mass of the Earth is approximately equal to: 5.98*10^ 24 kg , The mass of the moon is 1.23% of the Earth's mass and the gravitational force between them is approximately 183 * 10 ^ 19 .
Answer:
What keeps the electrons in a atom and the atomic radius of the atom
An airplane is preparing to Anderson airport it is 39,900 feet above the ground and it is descending at a rate of 3100 hundred feet/min. at the same airport another plane is taking off and will ascend at the rate of 2600 ft./min. when will the two airplanes be at the same altitude and what altitude will it be
Answer:
one plane will be at an altitude of 39900 and the other will be at 33464
Step-by-step explanation:
airplane 1 -
39,900 divided by 3100 = 12.87
airplane 2-
2600 x 12.87 = 33,464
Plsss helpppp I’m stuck
Answer:
b = 2c: Ben's age is twice Cindy's. So Cindy is 15 years old
(a + b + c) / 3 = 28: Their average age is 28 This tells us nothing as we already have Anne, Ben and Cindy's ages. It does however give us a quick way to check the answers:
[tex]\frac{a + b + c}{3} = 28\\\frac{39 + 30 + 15}{3} = 28\\\frac{84}{3} = 28[/tex]
Correct, so we know values found are correct.
30
Mrs. Martinez assigned 20 pages of reading for homework Jace had time to read 3 pages before he left school. What percent
of the assigned pages did Jace read while at school
Answer:
15% if I remember correctly
PLEASE HELP 35 POINTS!!!
On the drawing, shade the complete circular regions around both radio stations that represent the broadcast area of each station where houses can be located. Use the number line to estimate the length that could represent the radius of each circle. Describe the shape of the area that can receive BOTH stations.
Answer:
circle = square =5.53
Step-by-step explanation: .
find the radical equivalent of 27 ^ 2/3 and compute it. Explain please.
Answer: 9
Step-by-step explanation:
27 ^ 2/3 is equal to [tex](\sqrt[3]{27})^2[/tex]
3 * 3 * 3 = 27
so, [tex]\sqrt[3]{27}[/tex] = 3
3 * 3 = 9
so, [tex]3^{2}[/tex] = 9
