Number of oranges is (2a + 2)
Half the number of oranges is 1/2(2a + 2)
Half the number of apples is 1/2a
The difference between half the number of oranges and half the number of apples equals 4 looks like this:
1/2(2a + 2) - 1/2a = 4
Now solve.
1/2(2a + 2) - 1/2a = 4 (multiply 1/2 by what's inside the parenthesis)
1a + 1 - 1/2a = 4
1a + 1 -1 - 1/2a = 4 - 1
1a - 1/2a = 3
1/2a = 3
1/2a ÷ 1/2 = 3 ÷ 1/2
a = 6
He has 6 apples.
Substitute 6 into the equation for the number of oranges.
2a + 2
2(6) + 2 = 14
He has 14 oranges.
Check your work.
The difference between half the number of oranges (7) and half the number of apples (3) does indeed equal 4.
Therefore, the equation has one solution.
Answer:
it is one solutionStep-by-step explanation:
whats is the 39th triangular number
Answer:
The 39th triangle number is 780
Help been stuck on this for an hour
Answer:
3 miles per hour is what I got
Step-by-step explanation:
he does 1.25 miles in 25 min as 5/12 hr= 25 min <5/12 * 60 min>
25min /1.25 miles=20 minutes for 1 mile
convert to mph by multiplying by 3 = 60 min or 1 hr for 3 miles
Answer:
3 miles per hour is what Seth's unit rate is
Step-by-step explanation:
uh I don't know to be honest lol
ASAP! I will give you branilest
Elena wants to make a scale drawing of her bedroom. Her bedroom is a rectangle with length 500 cm and width 300 cm. She decides on a scale of 1 to 50.
b. Elena's bedroom door is 80 cm wide. How wide should the door be on the scale drawing? Explain your reasoning.
(*Hint #1* a good explanation uses Words, Numbers, or Pictures to justify your thinking).
Answer:
1.6cm
Step-by-step explanation:
80/50=1.6 cm
Good Luck!
What is the equation of a line that
is parallel to the line y = 2x + 7 and
passes through the point (-2, 4)?
A y=- 2x+3
y = 2x + 4
c
y=-3x-2
Dy = 2x + 8
B
a
A
b
B
Answer:
B. y = 2x + 4
Step-by-step explanation:
Parallel lines will share the same slope: therefore, A and C are out ( they are the negative reciprocals of the equation's slope. The y-value from the point given is 4, meaning the y-intercept for the equation of the parallel line has to be 4 to match the criteria given in the question. So the answer is B.
We want to get a line parallel to y = 2x + 7 that passes through the point (-2, 4). We will see that the correct option is D.
Parallel lines
We define general linear equations as:
y = a*x + b
Where a is the slope and b is the y-intercept.
We know that two lines are parallel if and only if they have the same slope and different y-intercept.
So if we want to have a line parallel to y = 2*x + 7, then our line must also have a slope equal to 2, so we have:
y = 2*x + b
To find the value of b we use the fact that the line passes through (-2, 4), replacing the values of the point in the equation we get:
4 = 2*(-2) + b
4 = -4 + b
4 + 4 = b
8 = b
Then the equation for our line is:
y = 2*x + 8
Then the correct option is D.
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A fraction with fractions in either the numerator or the denominator or both is called a _____.
complex fraction
mixed fraction
compound fraction
parallel fraction
Answer:
Compound fraction
Step-by-step explanation:
You're welcome
Answer:
Compound fraction
Step-by-step explanation:
What he said
The number of measles cases increased 44.4% to 95 cases this year. What was the number of cases prior to the increase
Answer:
65.97 cases
or approx. 66 case
Step-by-step explanation:
Evalute the function when x = -2
f(x)=11- 3x
Please help I’m confused by the whole concept
Answer:
f(-2)=17
Step-by-step explanation:
Anywhere you see x replace it with -2
f(-2) = 11 - 3 (-2)
f(-2) = 11 + 6
f(-2) = 17
A box has length 5 feet, width 8 feet and height 3 inches. Find volume in cubic feet and in cubic inches
Answer:
120 cubic feet
Step-by-step explanation:
The formula for volume = length x width x height. Therefore, in order to get the volume you multiply 5 , 8 and 3, and when you multiply all three you get 120 inches cubic feet.
8 - 3x4 + 6/2
what’s the answer? help plz i really need help
Answer:
3 2/5
Step-by-step explanation:
8-3x4
ok well do 3x4 that is 12
so do 12 minus 8 which is 4. and 4 as a fraction is 2/5 so
do 6/2 plus 2/5
which is.....
.....
3 and 2/5
Which angle is an exterior angle of the triangle? Triangle L M N. Angle L is 1, angle M is 2, angle N is 3. Side M N extends to form angle 4. 1 2 3 4
See the diagram below. The angles 1,2, and 3 are interior angles as they are inside the triangle. The exterior angle is outside the triangle, formed by extending one side out.
Angle 4 is an exterior angle of the triangle. So Option D is correct
What is an angle ?An angle is a mathematical term, which we can define, when two straight lines or rays meet at a common endpoint. The common point is called the vertex of an angle. The word angle comes from a Latin word named ‘angulus,’.
Interior angles:- The inner angle made by the intersection of two polygonal sides.
Exterior angles:- The outer angle made by the intersection of two polygonal sides.
Given that,
The triangle LMN,
Angle L is 1,
Angle M is 2,
Angle N is 3
It can be seen in the diagram.
The angles 1,2, and 3 are interior angles as they are inside the triangle. The exterior angle is outside the triangle, formed by extending one side out.
Hence, the exterior angle is 4
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The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is three times the measure of the first angle. The third angle is fifteen more than the second. Find the measures of the three angles.
29jsfsouodpolfkldsfmdsfsdfdssfsdfsadfsd I GOT THE ANSWER IT IS 5
Answer:x=45 y=60 x=75
Step-by-step explanation:
Write the equation of a line in the given form.
The line through (4,-4) and (0,-5) in SLOPE INTERCEPT form
Answer:
[tex]y = \frac{1}{4}x - 5[/tex]
Step-by-step explanation:
Slope intercept form: y = mx + b
Find slope:
m = (y₂ - y₁) / (x₂ - x₁)
= (-5 - (-4)) / (0 - 4)
= -1 / -4
= 1/4
Find y intercept using anyone of the given points and slope from above:
y = mx + b
[tex]-5 = \frac{1}{4}(0) + b[/tex]
b = -5
Now use the above slope and y intercept to create equation of a line:
[tex]y = \frac{1}{4}x - 5[/tex]
If B(-5, 2) is one endpoint of a line segment and M(1, 4) is the midpoint, what are the coordinates of the other endpoint G?
Answer:
G = (7, 6)
Step-by-step explanation:
You have to solve -5+x/2=1 and you have to solve 2+y/2=4. Just multiply both sides by 2 and solve.
(3.2 x 104) + (1.4 x 103)
Answer:
477
Step-by-step explanation:
(3.2 × 104) = 332.8(1.4 × 103) = 144.2Plug the answers above in: (332.8) + (144.2)(332.8) + (144.2) = 477I hope this helps!
Write the absolute value of each number. 1. -2/8 2. 3 ¾
how do you do this step by step?
Answer:
Step-by-step explanation:
will the square roots of perfect squares always be irrational numbers
No, the square roots of perfect squares always do not be irrational numbers.
We need to describe whether the square roots of perfect squares always be irrational numbers.
What are perfect squares?A perfect square is a positive integer that is obtained by multiplying an integer by itself. In simple words, we can say that perfect squares are numbers that are the products of integers by themselves. Generally, we can express a perfect square as x², where x is an integer and the value of x² is a perfect square.
Irrational numbers are the set of real numbers that cannot be expressed in the form of a fraction, p/q where p and q are integers. The denominator q is not equal to zero (q ≠ 0).
So, the square roots of perfect squares are rational numbers and can be placed on a number line. The square roots of non-perfect squares are irrational numbers.
No, the square roots of perfect squares always do not be irrational numbers.
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A box has a volume of 30 cubic cm. the box is filled with unit cubes, with no gaps or overlaps. each unit cube measures 1 cm in length, 1 cm in width, and 1 cm in height. how many unit cubes fill the box A:90
B:10
C:30
D:33
Answer:
C. 30.
Step-by-step explanation:
Each cube has a volume of 1 * 1* 1 = 1 cu cm.
The answer is 30 unit cubes because 30 *1 = 30.
The box is filled with 30 unit cubes.
The formula to calculate the volume of a cube: -For a cube with side length 'a' volume V is,
[tex]V=a^{3}[/tex] cubic units
In this question, a box has a volume of 30 cubic cm.
The box is filled with unit cubes, with each unit cube measures 1 cm in length, 1 cm in width, and 1 cm in height.
Let [tex]V_{s}[/tex] represents the volume of each unit cube and [tex]V[/tex] represent the volume of the box.
The length of each side of a unit cube is 1 cm.
So, [tex]V_{s}=(1)^{3}[/tex]
⇒ [tex]V_{s}=1[/tex] cubic cm
Let there are n unit cubes filled in the box.
⇒ [tex]V=n\times V_{s}[/tex]
⇒ [tex]30=n\times 1[/tex]
⇒[tex]n=30[/tex]
Therefore, 30 unit cubes are filled in the box.
Hence, option C. 30 is the correct answer.
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The number of boxes of cookies sold by Sarah was 50 fewer than the number of boxes of cookies sold by Keiko. The number of boxes of cookies sold by Imelda was
22 greater than the number sold by Keiko. Write an algebraic expression for each quantity. Use x to represent the unknown value.
the number of boxes of cookies sold by Sarah
= the number of boxes of cookies sold by Keiko
= the number of boxes of cookies sold by Imelda
Answer:
abcdefghijklmnopqrstuvwxyz
A box has a volume of 456 cubic inches, with a length of 1 foot and a height of 4 inches. Determine the width of the box.
Answer:
114
Step-by-step explanation:
1 x 4 x 114 = 456
Answer:
Width: 9.5 inches
Step-by-step explanation:
We have to convert the 1 foot to 12 inches.
New Dimensions: 12in x 4in x ?in
We multiply the 12 by 4 and we get 48.
Now we divide 456 by 48.
We get: 9.5
9.5in is the width of the box.
(x - 3) - 2x + 6)=-5
Answer: x=8
Step-by-step explanation:
Please help me I need help
Answer:
f(6)=2
f(2)=4
f(0)=7
f(5)=1.5
Step-by-step explanation:
#9. Solve for x in the equation x - 4 = 7
a) x = -3
b) x = 28
c) x = 11
d) x = 3
Answer:
it could be c: x=11
Step-by-step explanation:
you move the constant (-4) to the right side along with the seven and combine them which gives you eleven
1 2 TIME REMAIN 50:24 How could Theo check his work? Check all that apply. Theo solved n + 5 = 11 for the unknown. The steps he took are shown. He started with 5 tiles. He could substitute 5 forn in the original equation and add. He could substitute 6 for n in the original equation and add. Then he added tiles as he counted up to 11. He could subtract 5 from 11 and check that the answer is 6. He realized he added 6 more tiles to his original 5 to make 11. So he found the unknown to be 6. He could subtract 11 from 5 and check that the answer is 6. O He could put all the tiles in 1 pile to count them to see if there are 11 in all.
Answer:
so first you do the work than check
Step-by-step explanation:
Which graph shows y < x^2 + 1
Answer:It’s the third one.
Step-by-step explanation: i got it right.
The _____ is a measure of the average speed of the particles in a substance.
HELP PLS!!! 50PTS!!! An explanation is welcome!
Answer:
Its 2 on the x axis
Step-by-step explanation:
What is the value of -16 - (-34)
Answer: 18
Step-by-step explanation:
Distribute that negative sign like a -1 to get:
-16 + 34 = 18
312,919,563x500➗999,527
Answer:
312 , 919 , 281 , 0. 500 , 527
Step-by-step explanation:
What makes a function
Answer:
a relation of X to Y, if one element from X is equal to one element from Y.
Step-by-step explanation:
a function in which one thing from X is equal to one thing from Y...