Answer:
Sara or x=15, Joe=27
Step-by-step explanation:
Using J to represent Joe and S to represent Sara
J=2S-3
J+S=42 or J=42-S
Substitute for J:
42-S=2S-3
3S=45
S=15
J=2(15)-3 = 27
17 apples and 12 oranges cost $10.44. 3 apples and 4 oranges cost $2.84. How much does 1 orange cost?
Answer:
0.48$
Step-by-step explanation:
Cost of 1 Apple = A
Cost of 1 Orange = O
Six apples and three oranges cost $3.36 equivalent to:
6A + 3O = 3.36 (1st equation).
Two apples and five oranges cost $3.04 equivalent to:
2A + 5O = 3.04 (2nd equation).
Now we have to solve the 2 equations with 2 uknowns (the cost of 1 Apple = A, and the cost of 1 Orange = O).
6A + 3O = 3.36 (Equation 1)
2A + 5O = 3.04 (Equation 2), multiplying this equation by 3 we get:
6A + 3O = 3.36 (Equation 1)
6A + 15O = 9.12 (Equation 2), Now equation 2 minus equation 1 we get:
6A-6A +15O -3O = 9.12-3.36 equivalent to:
12O = 5.76 => O = 5.76/12 = 0.48 ( the cost of one Orange is 0.48$)
Go back to equation 1 and solve for the cost of 1 apple:
6A + 3x0.48 = 3.36 =>
6A + 1.44 = 3.36 =>
6A = 1.92 =>
A = 1.92/6 = 0.32 ( the cost of one apple is 0.32$)
Summary: The cost of one apple is 0.32$ and the cost of one orange is 0.48$.
Fill in the blanks with '<'or'>?.
(a) 0.4 m
0.6 m
(b) 0°C
-4°C
(c) -2 °C
-2.5 °C
Answer:
See below.
Step-by-step explanation:
(a) 0.4 m < 0.6m
(b) 0°C > -4°C
(c) -2°C > -2.5°C
The base of 40-foot ladder is 8 feet from the wall. How high is the ladder on the wall (round to the nearest foot)
Given:
The base of 40-foot ladder is 8 feet from the wall.
To find:
How high is the ladder on the wall (round to the nearest foot).
Solution:
Ladder makes a right angle triangle with wall and ground.
We have,
Length of ladder (hypotenuse)= 40 foot
Base = 8 foot
We need to find the perpendicular to get the height of the ladder on the wall.
Let h be the height of the ladder on the wall.
According to the Pythagoras theorem,
[tex]Hypotenuse^2=Base^2+Perpendicular^2[/tex]
[tex](40)^2=(8)^2+(h)^2[/tex]
[tex]1600=64+h^2[/tex]
[tex]1600-64=h^2[/tex]
[tex]1536=h^2[/tex]
Taking square root on both sides.
[tex]\pm \sqrt{1536}=h[/tex]
[tex]\pm 39.1918358=h[/tex]
Height cannot be negative. Round to the nearest foot.
[tex]h\approx 39[/tex]
Therefore, the height of the ladder on the wall is 39 foot.
Triangle T is translated to Triangle T What is the translation from T to T'? у T T A 3 units left B 3 units right c5 units left 05 PLEASEEEE HELP ME OUT
Answer:
5 units to the right!
It would take 3 unites to the right to get the 0 and then 2 more units to the right to get to 2, so that means 5 units in total to the right.
Work out the surface area of the solid cuboid.
8m
5m
2m
Answer:
Step-by-step explanation:
T.S.A=2(LXW) + 2(LXH) + 2(WXH)
=2(8mx5m) + 2(8mx2m) + 2(5mx2m)
=(2x40m²) + (2x16m²) + (2x10m²)
=80m² + 32m² + 20m²
=132m²
name some underrated animes i should watch.
Answer:
one i have is samurai flamenco
Step-by-step explanation:
its cool to me
Answer:
personally I think Death Parade is underrated.
Step-by-step explanation:
You should watch it
Find all possible solutions for x and y such that △ABC is congruent to △DEF.
△ABC: sides of length 19, 25, and 3x − 3.
△DEF: sides of length 25, 15, and 5 − y.
△ABC ≅ △DEF when x is ___ and y is ___.
Answer:
Step-by-step explanation:
it means the ABC And DEF have side lengths of 15,19, 25
so 3x-3 = 15
x = 6
5-y = 19
so y = -14
PLS PLS PLS PLS HELP ASAP!! WILL MARK BRAINLIEST!
1. The list of ordered pairs represents a function: (12,6) (3,1) (2,-2) (5,10) (-8,-4) ( _, _)
Which of the following could be the missing ordered pair?
A. (2,1)
B. (12,7)
C. (-8,8)
D. (-3,-4)
2. Rita works at a gym where she gets paid $450 each week plus $15.50 for any new gym membership she sells. If y represents the total pay per week and x represents the number of new memberships sold, which of the following equations represents a higher rate per membership sold.
A. y =31/3x + 500
B. y =15x + 425
C. y =33/2x + 425
D. y =15.05x +475
Answer:
1. D
2. y = 15.50x + 450
Step-by-step explanation:
1. Since it is a function, the missing pair can't repeat input values with different output, therefore only option D is unique so is the correct choice.
2. x > (y - 450)/ 15.50
i) Rita gets paid $450 per week.
ii) She gets $15.50 for every new membership she sells.
iii) let y represent the total pay per week.
iv) let x represent the number of new memberships sold.
v) the equation representing total pay is y = 15.50x + 450.
vii) therefore the equation that represents a higher rate of membership sold is given by x > (y - 450)/ 15.50
Anjali’s school is selling tickets to the annual talent show. On the first day of ticket sales the school sold 18 total tickets for $98. Each adult ticket is $14 and each child ticket $3. How many of each type of ticket were sold?
Answer:
adult-5 student-5
Step-by-step explanation: 98 divided by 18= 5. 5 times 14 = 70. 5 times 3= 15. 70+15=98.
Answer:
adult ticket:4
child ticket:14
Step-by-step explanation:
(98-18*3)/(14-3)=4
18-4=14
227.4 + 213.5
513.9 – 46.1
348.2 + 62.8
637.9 – 206.3
Step-by-step explanation:
227.4 + 213.5 = 440.9
513.9 – 46.1 = 467.8
348.2 + 62.8 = 411
637.9 – 206.3 = 431.6
Answer:
1: 440.9
2: 467.8
3: 411
4: 431.6
Hope this helps.
Answer:
1. 440.9
2. 467.8
3. 411
4. 431.6
Step-by-step explanation:
Here is a story: Lin bought 4 bags of apples. Each bag had the same number of apples. After eating 1 apple from each bag, she had 28 apples left. А. 28 1. What part of the story does represent? x + 1 x + 1 x + 1 x + 1 B 28 2. Would eating an apple be represented by subtraction or addition? 1 X X C С 1 3. Which diagram best represents the story? 4. What is the value of x? X-1 x-1 x - 1 28
Answer:
X-1 X-1 X-1 28
Step-by-step explanation:
Mitch made 12 out of 40 shots during the championship game. What percent of his shot did Mitch make
Answer:
30%
Step-by-step explanation:
1) Divide how many shots Mitch made by the total amount of shots
12/40 = 0.3
2) Move the decimal place to places to the right to get the percentage.
0.3 --> 30%
Tell whether the angles are adjacent or vertical. Then find the value of x.
I finished the angles, but need the value of x.
Answer : The angles are vertical angles and the value of x is [tex]25^o[/tex]
Step-by-step explanation :
Adjacent angles : It is defined as the two angles that have the common arm and common vertex.
Vertical angles : It is defined as the two lines intersect each other and form angles. The opposite angles are known as vertically opposite angles.
And we know that the vertically opposite angles are equal.
In the given image, the angles are vertical angles and vertically opposite angles are equal.
So,
[tex](4x-25)^o=75^o[/tex]
[tex]4x-25^o=75^o[/tex]
[tex]4x=75^o+25^o[/tex]
[tex]4x=100^o[/tex]
[tex]x=\frac{100^o}{4}[/tex]
[tex]x=25^o[/tex]
Therefore, the angles are vertical angles and the value of x is [tex]25^o[/tex]
QUICK I NEED HELP!!! the question is: Roberto is using 12 blue tiles and 8 green tiles to design a of his outdoor patio which ratio compares the number of blue tiles to the number of green tiles in one section
The parabola y = x^2 is shifted up by 7 units and to the left by 1 unit. What is the equation of the new parabola?
Answer:
6
Step-by-step explanation:
Answer:
(x+1)^2+7
Step-by-step explanation:
khan academy
A food store makes a 11-lb mixture of oatmeal, crispies, and chocolate chips. The cost of oatmeal is $1.50 per pound, crispies cost $2.00 per pound, and chocolate chips cost $1.00 per pound. The mixture calls for twice as much oatmeal as crispies. The total cost of the mixture is $17.00. How much of each ingredient did the store use?
Answer:
6 pounds of oatmeal, 3 pounds of crispies and 2 pounds of chocolate chips were used.
Step-by-step explanation:
Let,
x be the pounds of oatmeal used
y be the pounds of crispies used
z be the pounds of chocolate
According to given statement;
1.50x+2.00y+1.00z = 17.00 Eqn 1
x+y+z = 11 Eqn 2
x = 2y Eqn 3
Putting x=2y in Eqn 2
2y+y+z = 11
3y+z = 11 Eqn 4
From Eqn 4
z = 11 - 3y Eqn 5
Putting value of x and z from Eqn 3 and Eqn 5 in Eqn 1
1.50(2y) + 2.00y + 1(11-3y) = 17.00
3y+2y+11-3y=17
[tex]2y=17-11\\2y=6\\\frac{2y}{2}=\frac{6}{2}\\y=3[/tex]
Putting y = 3 in Eqn 3
x= 2(3)
x= 6
Putting in Eqn 2
6 + 3 + z = 11
z = 11-9
z= 2
Hence,
6 pounds of oatmeal, 3 pounds of crispies and 2 pounds of chocolate chips were used.
The product of two numbers decreased by six is less than 30. Write an algebraic expression, but do not solve. *
Answer:
(x × y) - 6 < 30
xy - 6 < 30
xy < 30 + 6
xy < 36
Step-by-step explanation:
Let us represent:
First number = x
Second number = y
The product of two numbers decreased by six is less than 30.
The algebraic expression is given as
(x × y) - 6 < 30
xy - 6 < 30
xy < 30 + 6
xy < 36
how does algebra work im not very good at it
The sketch shows two parallel lines cut by a transversal. Which pair of angles are alternate interior angles?
A) Angle 1 and angle 4
B) Angle 5 and angle 4
C) Angle 6 and angle 4
D) Angle 8 and angle 4
Answer:
b.angle 5 and angle 4
Step-by-step explanation:
b.angle 5 and angle 4
Answer:
Step-by-step explanation:
The lengths of the sides of a triangle are in the extended ratio 4 : 7 : 8. The perimeter of the triangle is 95 cm. What are the lengths of the sides?
Answer:
20 cm, 35 cm, 40 cm
Step-by-step explanation:
sum the parts of the ratio, 4 + 7 + 8 = 19 parts
Divide the perimeter by 19 to find the value of one part of the ratio.
95 cm ÷ 19 = 5 cm, then
4 parts = 4 × 5 cm = 20 cm
7 parts = 7 × 5 cm = 35 cm
8 parts = 8 × 5 cm = 40 cm
Thus the 3 sides are 20 cm, 35 cm and 40 cm
Answer:
The measure of the sides of a triangle will be:
4x = 4(5) = 20 cm
7x = 7(5) = 35 cm
8x = 8(5) = 40 cm
Step-by-step explanation:
Given that the lengths of the sides of a triangle are in the extended ratio 4 : 7 : 8.
Also given that the perimeter of the triangle is 95 cm.
We know that the Perimeter of a triangle is the sum of all the sides of a triangle.
As the lengths of the sides of a triangle are in the proportion 4 : 7 : 8. Thus, the measure of the sides will have the same scale factor x.
Therefore,
4x + 7x + 8x = 95
Add similar elements: 4x + 7x + 8x = 19x
19x = 95
Divide both sides by 19
19x/19 = 95/19
x = 5
Therefore, the measure of the sides of a triangle will be:
4x = 4(5) = 20 cm
7x = 7(5) = 35 cm
8x = 8(5) = 40 cm
Verification:
20 + 35 + 40 = 95
95 = 95
Find the next three terms of the following arithmetic sequence. -10, -3, 4, 11, (Three missing numbers)
Answer:
You can find the difference of two numbers easier if you take the absolute value of them (which is canseling out the negative or positive of them, and figuring out how far away from 0 they are) |-10| = 10, |-3| = 3, the difference between 10 and 3 is 7. The only problem that arises is now we are dealing with and negative and a positive, for this one you must see that to get from -3 to zero, you need to add 3, and to get from 0 to 4, you need to add 4, if you add 3, and then 4, you get 7
The difference between 10 and 3 is 7
The difference between -3 and 4 is 7
So naturally, the next number will be 4 + 7 = 11
Hope that helped!
3.75x-5-8.75X+4.5+0.5
Step-by-step explanation:
3.75x-5-8.75x+4.5+0.5
=3.75x-8.75x+4.5+0.5-5
=-5x+5-5
==-5x
Find the nth term of this quadratic sequence.
3, 11, 25, 45
Answer:
3 , 11, 25, 45
Diff 8 14 20
Diff 6 6
The second differences are the same. The sequence is quadratic and will contain an n^2 term. The coefficient of n^2 is always half of the second difference. In this example, the second difference is 6. Half of 6 is 3 so the coefficient of n^2 is 3
therefore 3n^2
3 11 25 45
3n^2 3 12 27 48
Remainder 0 -1 -2 -3
Difference -1 -1 -1
linear sequence with nth term -n+1
so nth term of quadratic sequence in 3n^2-n+1
In your own words, what is the least common multiple of two whole numbers? How can you find it?
Answer:
One way to find the least common multiple of two numbers is to first list the prime factors of each number. Then multiply each factor the greatest number of times it occurs in either number. If the same factor occurs more than once in both numbers, you multiply the factor the greatest number of times it occurs.
Step-by-step explanation:
That's how I do it.
Juanita has 70 toy cars. 40% of the cars are blue.
How many cars are blue?
Answer:
28
Step-by-step explanation:
70×40% = 28
hdhxjsjcjsx
Answer:
28
Tell me if I am wrong. :) Hope it helps!
Step-by-step explanation:
what is the correct meaning of the word background
Our new neighbors has an interesting background.
history
honesty
house
health
2(a + b)=
Helppp meee pleaseeeeee
Answer:
ITS C
Step-by-step explanation:
MULTIPLIED BY THE NUMBER TO THE LEFT LOL
Please help due in 10 minutes
Answer:
One solution
Step-by-step explanation:
maybe
Answer:
There is only one solution to the equation.
x = 0
Step-by-step explanation:
Let rewrite the following equation so that x will be separated from the other numbers. So we do the following......
[tex]\frac{x+4}{4} = \frac{x +3}{3}[/tex]
[tex]12(\frac{x+4}{4}) = 12(\frac{x +3}{3})[/tex]
[tex]3(x +4) = 4(x+3)[/tex]
[tex]3x +12 = 4x +12[/tex]
[tex]12 = 4x - 3x +12[/tex]
[tex]0 = x[/tex]
jsjsbsjdjsjannsnsns
Answer:
yes this is so normal to do
if you roll a six sided die ten times, whats P(x>3)
Answer:
1 Binomcdf (10,1/6,3)
Step-by-step explanation:
