Answer:
q = [tex]\frac{6+3p}{5}[/tex]
Step-by-step explanation:
[tex]\frac{5(q+p)}{2}[/tex] = 3 + 4p ( multiply through by 2 to clear the fraction )
5(p + q) = 6 + 8p ← distribute parenthesis on left side )
5p + 5q = 6 + 8p ( subtract 5p from both sides )
5q = 6 + 3p ( divide both sides by 5 )
q = [tex]\frac{6+3p}{5}[/tex]
Evaluate the expression when b=-5 and c=7
b-3c
Answer:
b=5 should be the correct answer
Answer:
-26
Step-by-step explanation:
b = -5 and c = 7, Plug in:
b - 3c
-5 - 3(7)
-5 - 21
-26
Hopefully this helps!
Brainliest please?
At a department store, a woman's total was $284.00 for 7 items.
Answer:
40.5714
Step-by-step explanation:
Based on the given conditions, formulate: 284 ÷ 7
Evaluate the equation/expression: 40.5714
get the result: 40.5714
Answer: 40.5714
solve by substitution.
5x-3y=-4
x+y=-4
Answer:
x=-2,y=-2
Step-by-step explanation:
x+y=-4
x=-4-y--(3)
substitute (3) in (1)
5(-4-y) -3y=-4
-20-5y-3y=-4
-8y=16
y=16/-8
y=-2
substitute y in (3)
x=-4-(-2)
x=-2
What exactly is this? 2+6x = 1-x
8/5 minus 1/6 their are four answers 22/15 43/30 1/6 or 48/30
Answer:
43/30
Step-by-step explanation:
could someone please help answer this, please no spam, will give brainliest, thank you!
(homework help)
Answer:
[tex]x>-5[/tex]
Step-by-step explanation:
[tex]\frac{-1}{5} x+1<2[/tex]
Subtract 1 from both sides
[tex]\frac{-1}{5} x+1-1<2-1[/tex]
Simplify
[tex]\frac{-1}{5} x<1[/tex]
Multiply both sides by -1, which reverses the inequality also
[tex]\frac{-1}{5} x(-1)>1(-1)[/tex]
Simplify
[tex]\frac{1}{5} x>-1[/tex]
Multiply both sides by 5
[tex]5*\frac{1}{5} x>5(-1)[/tex]
Simplify
[tex]x>-5[/tex]
At midnight, the temperature was 31.2°F. In the morning, the temperature was −6.7°F. Which statement describes the temperatures?
At midnight, the temperature was 31.2 degrees above 0, and in the morning, it was 6.7 degrees lower.
At midnight, the temperature was 31.2 degrees below 0, and in the morning, it was 6.7 degrees higher.
At midnight, the temperature was 31.2 degrees above 0, and in the morning, it was 6.7 degrees below 0.
At midnight, the temperature was 31.2 degrees below 0, and in the morning, it was 6.7 degrees above 0.
Answer:
The third statemnet
Step-by-step explanation:
I say the third statement is correct because it says its 31.2 degrees above 0 which is positive. Also it says in the morning it was 6.7 below 0 which is negative which equlas-6.7. So that is why statement 3 is the correct answer.
Peter says, "If you subtract 17 from my number and multiply the difference by - 2, the result is - 26."
What is Peter's number?
Peter's number is
Answer:
4 is the number
Step-by-step explanation:
(17-x)(-2)=-26
-34+2x=-26
2x=-26+34
2x=8
x=8/2
=4
State whether the percent of change is a percent
of increase or a percent of decrease. Then and the
percent of change. Round to the nearest whole
percent.
original: 54 new: 45
Answer:
percentage decrease
16.7 percentage of change
Determine the mystery decimal number from the clues listed.
Clue 1: between 2/5 and 3/5
Clue 2: greater than 1/2
Clue 3: a multiple of 0.11
Answer:
.55
Step-by-step explanation:
3/5 = 0.6
1/2 = 0.5
it has to be in between these two numbers
5 x 0.11 = 0.55
Answer:
Step-by-step explanation:
It is between 0.4 and 0.6
It is greater than 1/2. That means that the starting point is 0.5 to 0.6
The final clue should nail it. It is a multiple of 0.11. That means it is 0.55. One possible answer is 11/20
Twenty-eight slices of pizza cost $12. Approximately how much would 70 slices cost?
Answer:
$30.
Step-by-step explanation:
70/28 = 2.5
12 x 2.5 = 30
a regular pentagon is divided into 5 isoscleles triangles work out the size of angle x angle y angle z
x = 72
y = 54
z = 54
================================================================
The regular pentagon has all five sides the same length. It also has all interior angles the same measure. This leads to y = z. These two angles are the congruent base angles of the isosceles triangle. The base angles are opposite the congruent sides.
The fact that we have a regular pentagon also means that the five triangles shown are identical copies of one another (i.e. they are congruent triangles). Divide the full 360 degree rotation into 5 parts to get 360/5 = 72, which represents the measure of the central angle x.
--------------
For any triangle, the three angles always add to 180. This means,
x+y+z = 180
72+y+z = 180 .... plug in x = 72
72+y+y = 180 ... recall that y = z
2y+72 = 180
2y = 180-72
2y = 108
y = 108/2
y = 54, which is also the measure of angle z as well
--------------
As a quick check,
x+y+z = 72+54+54 = 180
which helps confirm the answer.
The larger of two numbers is 15 more than three times the smaller number. If the sum of the two numbers is 63, find the numbers.
Answer:
Let x = the smaller number
Let 3x + 15 = the larger number
x + 3x + 15 = 63
4x = 48
x = 12
3(12) + 15 = 51
Step-by-step explanation:
Ed receives a tax refund of 37.50. He spends 2/3 of his refund on clothing. He divides the rest among his 5 children. How much money does he give each child?
Answer:
He gave 2.50$ to each of his children
Step-by-step explanation:
Answer:
Each child got $2.50
LCD of the fractions below
1/3 And 5/8
Answer:
24
Step-by-step explanation:
LCD = 24
Equivalent Fractions with the LCD
1/3 = 8/24
5/8 = 15/24
What is the rule when you add a negative number and positive number?
Answer:
a negative plus positive equals a negative-
Answer:
"To find the sum of a positive and a negative integer, take the absolute value of each integer and then subtract these values. The result takes the sign of the integer with the larger absolute value. The sum of any integer and its opposite is equal to zero."
Step-by-step explanation:
Simpler Explanation: If you add a positive number with a negative number, the sign (negative/positive) of the sum is the same as the integer (number) with the largest absolute value. For example;
1. 10 + -12 = -2
Here, the sum has the same sign (negative) as the largest number in the equation (-12).
2. 7 + -3 = 4
Here, the sum has the sign (positive) as the largest number in the equation (7).
The population of insects in an experiment has
been increasing by 9% each week. If there were 16
insects at the beginning of the experiment, predict
how many insects there will be after 8 weeks.
Answer:
[tex]16 (1 +0.09)^{8}\\[/tex]
Future Amount = 38 (rounded)
Step-by-step explanation:
hope this helps.
solve the equation: 0.65 = 0.5c
Answer:
=1.3
Step-by-step explanation:
Combine multiplied terms into a single fraction
0
.
6
5
=
0
.
5
0.65=0.5c
0.65=0.5c
0
.
6
5
=
1
2
0.65=\frac{1c}{2}
0.65=21c
2
Multiply by 1
3
Multiply all terms by the same value to eliminate fraction denominators
4
Cancel multiplied terms that are in the denominator
5
Multiply the numbers
6
Move the variable to the left
Solution
=1.3
Answer:
c = 1.3
Step-by-step explanation:
0.65 = 0.5c ( divide both sides by 0.5 )
[tex]\frac{0.65}{0.5}[/tex] = c , that is
c = 1.3
What is value of 4 to the power of negative 3
Answer:
[tex]\frac{1}{64}[/tex]
Step-by-step explanation:
Using the rule of exponents
[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex]
and 4³ = 4 × 4 × 4 = 16 × 4 = 64
Then
[tex]4^{-3}[/tex] = [tex]\frac{1}{4^{3} }[/tex] = [tex]\frac{1}{64}[/tex]
Answer:
0.015625
uokcdjnjhxfukbgy
Draw the graph of y=3-1/2x HELP
I hope this helps you!!!! :)
Write 315 as a product of primes.
Answer:
3*3*5*7
Step-by-step explanation:
hope it helps you out
please mark brainiest
Answer:
315 = 5*3*7*3
Step-by-step explanation:
Which number equals 3/4 to the power of negative 2?
Line segment JK has endpoints J(2,-3) and K(-4,6). what are the coordinates of the midpoint of JK
Answer:
The midpoint is (-1, 1.5)
Step-by-step explanation:
To find the x coordinate of the midpoint, average the x coordinates of the endpoints
(2+-4)/2 = -2/2 = -1
To find the y coordinate of the midpoint, average the y coordinates of the endpoints
(-3+6)/2 = 3/2 = 1.5
The midpoint is (-1, 1.5)
How do you solve 32÷1440 using long division?
Answer:
720 that i got answer but i´ll explain it soon
Step-by-step explanation:
What is the answer for 3 4/8 + 1 1/4 + 4/6 in simplest form?
Answer:
5 5/12
Step-by-step explanation:
hoffe das hilft
Quick question for you whats 1+3-4x0÷4+3-1+9÷4
Answer:
8.25
Step-by-step explanation:
Jake bought cupcakes for his sister's birthday party. 33 out of the 44 cupcakes had sprinkles on top. What percentage of the cupcakes had sprinkles?
Write your answer using a percent sign (%).
Two cars that are 150 miles apart start driving toward each other on parallel roads. The average speed of the first car is 60 miles per hour. The average speed of the second car is 55 miles per hour. Which equation can be used to determine t, the time it takes for the two cars to pass each other?A table showing Rate in mile per hour, Time in hours, and Distance in miles. The first row shows First Car and has 60, t, and 60 t. The second row shows Second Car and has, 55, t, and 55 t.60t – 55t = 060t + 55t = 160t + 55t = 15060t – 55t = 150
Answer:
your equation should be 60t + 55t =150
Answer:
The answer is C!
Step-by-step explanation:
2.75 mi+3 mi+ 2.5 mi =?
Answer: 8.25mi
Step-by-step explanation:
Just add them all together
8.25 mi
Step-by-step explanation:
2.75 mi + 3 mi + 2.5 mi
= (2.75 + 3 + 2.5)mi
= (5.75 + 2.50)mi
= 8.25 mi
Answer Please !!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
I can't draw here, but I can describe :
an isoceles triangle means that 2 sides of the triangle are equally long (they are typically called the "legs" left and right on top of the baseline).
this fact makes the triangle symmetrical.
and that means that 2 angles are also equal (the angles of the legs with the baseline).
so, knowing that one angle is 34 degrees can mean 2 things :
either 34 degrees is the angle between the 2 legs, or it is one of the 2 equal angles between legs and baseline.
as we know the sum of all angles in a triangle is always 180 degrees.
so case 1 : 34 degrees is the angle between the legs
180 = 34 + 2×base-leg-angle
144 = 2×base-leg-angle
each base-leg-angle = 72 degrees
case 2 : 34 degrees is one of the base-leg-angles
180 = 2×34 + between-the-legs-angle
180 = 68 + between-the-legs-angle
between-the-legs-angle = 112 degrees
so, you need to draw one triangle for each case.
since we don't know anything about the side lengths, size does not matter. only the angles need to be correct :
one triangle with 34, 72, 72 degrees
and one triangular with 34, 34, 112 degrees