Answer:
-2 < p ≤ 5
Step-by-step explanation:
You can separate this into two inequalities and solve for each.
p + 7 ≤ 12
Solving for p, you get p ≤ 5
p + 7 > 5
Solving for p, you get p > -2
Combining the two equalities back together, you get -2 < p ≤ 5
A car travels 15 miles per gallon of
gas. Write an equation that shows the
relationship between miles (y) and
gas (x).
A. y = tx
B. 15x = y
C. 15 = yx
D. 15y = x
Answer:
15x = y
Step-by-step explanation:
15 times the gallons of gas = miles
15x = y
what is the Greatest Common Factor and the Least common Multiple os 3 and 8
3 is a prime number - the GCF is 1, and the least common multiple of 3 and 8 is 24.
Answer:
Greatest Common Factor is 1
Least Common Multiple is 24
Step-by-step explanation:
Greatest common factor is the biggest whole number that can be multiplied into the numbers. In this case 1x8=8 and 1x3=3.
Least common multiple is the smallest number each number can multiply into. In this case 3x8=24 and 8x3=24
Which graph shows the solution to the inequality -3x-7 <20?
.
-10
-5
5
10
O
-10
-5
0
5
10
o
-10
0
5
10
-10
0
5
10
Answer:
Second choice.
Step-by-step explanation:
Option 1: solve the inequality. Add 7 to both sides, and multiply by -3 (don't forget that this makes the inequality switch direction!) to get [tex]x > {27 \over {-3}[/tex] or x > -9
Option 2. Plug 0 in it. You get -7 < 20, which is obviously true. So 0 is in the set of solution and it means B and C are possible solutions. So let's check another easy value. let's say -10. replacing it you get [tex]-3 (-10) -7 < 20[/tex] or [tex]30 -7 <20[/tex]. But 23 is obviously greater than 20, which means -10 is not a part of the solution. Correct answer is B
Over 5 days, Jaasiel practices soccer for a total of 3 hours. Jaasiel practices baseball for the same amount of time each day. If he practiced soccer and baseball for a total of 30 hours, how many hours per day did Jaasiel practice baseball? *
Answer:
3 HOURS
Step-by-step explanation:
HE PRACTICED 3 HOURS A DAY IN BOTH SPORTS MEANING IN 1 DAY HE PRACTICED A TOTAL OF 6 HOURS 6 HOURS A DAY FOR 5 DAYS IS EQUAL TO 30 HOURS OF PRACTICE A WEEK FOR BOTH SPORTS. SO 6 HOURS A DAY TOTAL AND 3 HOURS A DAY IF YOU ONLY COUNT 1 OF THE 2 SPORTS MENTIONED.
The total cost for 6 mangoes and four apples is $46. Which equation represent this information?
Answer:
Step-by-step explanation:
6m+4a=46
Which of the following expresses the possible number of positive real
solutions for the polynomial equation shown below?
5x3 + x2 + 7x – 28 = 0
A. One
B. Two or zero
C. Two
D. Three or one
Answer:
A. OneStep-by-step explanation:
Look at the last term, - 28.
It means, the product of roots is a positive number (28).
The polynomial is a degree three so it has 3 possible roots.
Positive product can be obtained if all 3 numbers are positive or 2 negative and 1 positive.
Therefore number of positive roots is one or three.
Further, double check using the graphical solution (see attached), it shows one root only. It means the other roots are complex.
Correct option is A
Sam invests a sum of money into an account that pays 3%
compound interest per annum.
Work out after how many years Sam will have doubled his investment.
Give your answer as a whole number of years.
Answer: It would take 24 years to double your investment.
Hope this helps!
Sam will have doubled his investment for 33 years.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that Sam invests a sum of money into an account that pays 3%
compound interest per annum
We need to find how many years Sam will have doubled his investment.
With C your initial capital, k the interest rate and t the number of years. Since k is given as a simple interest rate, you’re essentially trying to solve :
C(1+tk)=2C
With a little bit of algebra, you should find that:
t=1/k
k=3%=0.03
t=1/0.03=33.33=33 years.
Hence, Sam will have doubled his investment for 33 years.
To learn more on Percentage click:
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Express 4 inches to 3 feet as fraction in simplest form.
Answer:
[tex]\frac{1}{9}[/tex]
Step-by-step explanation:
The quantities must be in the same measure
3 feet = 3 × 12 = 36 inches ( 1 foot = 12 inches )
Then
fraction = [tex]\frac{4}{36}[/tex] = [tex]\frac{1}{9}[/tex]
HELP PLEASE!!!!
WILL GIVE BRAINLIEST
ANY LINKS OR WRONG ANSWERS WILL BE REPORTED!!!!
Answer:
64 ounce bottle of orange juice has a greater percent of water
Step-by-step explanation:
Case 1) An 80 ounce bottle of apple juice contains 32 ounces of water
Total quantity of bottle = 80 ounces
Amount of water = 32 ounces
So, Percent of water = [tex]\frac{32}{80}[/tex] x 100
= 40%
Case 2) An 64 ounce bottle of orange juice has 48 ounces of water
Total quantity of bottle = 64 ounces
Amount of water = 48 ounces
So, Percent of water = [tex]\frac{48}{64}[/tex] x 100
= 75%
Hence 64 ounce bottle of orange juice has a greater percent of water
What’s the answer to this problem?
Answer:
try 8
Step-by-step explanation:
area of triangle-1/2 x base x height
Another division question! (It's a pictiture)
Answer:
0.60 ÷ 15
Explanation: Brainliest please
lol sorry again. need #2 for this assignment
Answer:
r=1
Step-by-step explanation:
13/20=3/4r-1/10r
multiply by 40
26=30r-4r
26r=26
r=1
Select all of the following that are ordered pairs of the given function.
ƒ(x) = 3 - 2x
Answer:
These are the answers
(-1,5)
(0,3)
(2,-1)
Step-by-step explanation:
What is the value of x?
Answer:
x = 4[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , then
sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{8}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
2x = 8[tex]\sqrt{3}[/tex] ( divide both sides by 2 )
x = 4[tex]\sqrt{3}[/tex]
Trey needs to estimate 678 + 395. He adds 678 and 395 and gets 1073. He rounds that to the nearest hundred to get 1100. What was Trey’s error?
A
He didn’t make an error.
B
He should have used a calculator.
C
He rounded his answer instead of his addends.
D
He should have rounded to the nearest thousand.
Answer:
A).
Step-by-step explanation:
There are no decimals so it cannot be option c or d
Hope this helps
Answer:
probably answer a because you don't need a calculator
algebraic expression question 3x and (5x+8y) find the product
The distance between two towns on a map varies directly with the actual distance between the towns.
Seven and a half inches on the map represents 150 miles. What is the actual distance represented
by 11 inches on the map?
Answer: 220 miles
Step-by-step explanation:
(150 miles)/(7.5 inches) = 20 miles/inch
(20 miles/inch)*(11 inches) = 220 miles
The angles featured below are ______ angles
Answer:
its normall
Step-by-step explanation:
PLS HELPPP MEEEEEEEEE
Answer:
x= 7
B= 112
F= 68
Step-by-step explanation:
to find x we set up an equation, (16x)=(4x+84). They are alternate interior angles which are always equal.
calculate it and you'll find x=7.
B and the angle 4x+84 are equal because they are vertical angles, to find it we just put 7 instead of x into 4x+84.
4(7)+84=112
angle f is supplementary to 16x. 16x is also 112 because they are equal, so its just 180-112=68
What is the value of the x variable in the solution to the following system of equations?
2x - 3y = 3
5x - 4y = 4
Answer:
x = 0
Step-by-step explanation:
Solve 2x - 3y = 3 for x:
[tex]2x - 3y = 3[/tex] [tex]2x - 3y + 3y = 3+ 3y[/tex] (add 3y to both sides)[tex]2x = 3y + 3[/tex] [tex]\frac{2x}{2} = \frac{3y+3}{2}[/tex] (divide both sides by 2)[tex]x = \frac{3}{2}y + \frac{3}{2}[/tex]Substitute 3/2(y) + 3/2 for x in 5x - 4y = 4
[tex]5x - 4y = 4[/tex] [tex]5(\frac{3}{2}y + \frac{3}{2}) - 4y = 4[/tex] [tex]\frac{7}{2}y + \frac{15}{2} = 4[/tex] (simplified both sides of equation)[tex]\frac{7}{2}y + \frac{15}{2} - \frac{15}{2} = 4 - \frac{15}{2}[/tex] (subtract 15/2 from both sides)[tex]\frac{7}{2}y = -\frac{7}{2}[/tex] [tex]\frac{7}{2}y * \frac{2}{7} = \frac{-7}{2} * \frac{2}{7}[/tex] (multiply both sides by 2/7)[tex]y = -1[/tex]Substitute -1 for y in x = 3/2(y) + 3/2
[tex]x = \frac{3}{2}y + \frac{3}{2}[/tex] [tex]x = \frac{3}{2}(-1) + \frac{3}{2}[/tex] [tex]x = -\frac{3}{2}+ \frac{3}{2}[/tex] (simplified both sides of equation)[tex]x = 0[/tex]Therefore, the value of the x-variable is 0.
If r = 32 and t = 8, what is the value of the following expression?
r + 56 ÷ t · 5
r + 56 ÷ t · 5
A.
79
B.
67
C.
55
D.
75
Answer:
The answer is B.
Step-by-step explanation:
r + 56 ÷ t · 5
= 32 + 56 ÷ 8 · 5
= 32 + 7 · 5
= 32 + 35
= 67
.
Emma made snack mix for a party. Each serving is 2/3 cup. If she wants to take
15 servings to the party, how many cups of snack mix should she make?
Answer:
10 cups
Step-by-step explanation:
Write an equation of the line with a slope of frac 3/4
and a y-intercept of -2.
Answer:
Equation: y = 3/4x -2
PLEASE HELP ME!!! This is DUE TONIGHT!!! (AND DONT STEAL THESE POINTS I NEED THE REAL ANSWER..)
find the 125th term of the number pattern 2,4,6,8......
Answer: 250
Step-by-step explanation: 125*2 = 250
f(x)=12x to g(x) = 2x
Answer:
g(x)=12-x^2. g(x)=12−x2 g ( x ) = 12 - x 2
Step-by-step explanation:
your welcome
Simplify:
-0.2sqrt(x^2)
Answer:
-0.2x
Step-by-step explanation:
-0.2*sqrt(x^2)
-0.2x
The question is on the sheet...pls help!
Answer:
C
Step-by-step explanation:
Principal Evans has 24 baby chicks.She shared the chicks among 5 classrooms.Each class gets at least 4 chicks.There can be no more than 3 chicks in each cage.
What is the relationship between
Answer:
option A
Step-by-step explanation:
the together form a complementary angles.
hope this helps you.
✌️✌️✌️
The sum of the measure of angle ∠AXY and angle ∠YXB is the measure of ∠AXB.
The relationship between ∠AXY and ∠YXB is that they are;
Complementary anglesReasons:
From the diagram in the question, we have;
∠BXC = 90° Given
∠BXC and ∠BXA are linear pair angles
Therefore;
∠BXC and ∠BXA are supplementary angles, which gives;
∠BXC + ∠BXA = 180° definition of supplementary angles
Therefore;
∠BXA = 180° - ∠BXC
∠BXA = 180° - 90° = 90°
∠BXA = 90°
∠AXY + ∠YXB = ∠BXA by angle addition property
Which gives;
∠AXY + ∠YXB = 90° by substitution propertyTherefore ∠AXY and ∠YXB are;
Complementary angles, by definition of complementary angles.Learn more about complementary angles here:
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