5 times a number is 14 less than the square of that number. Find the negative solution.
Answer:
x=-2
Step-by-step explanation:
5x=x^2 - 14
x^2-5x-14=0
(x-7)(x+2)=0
x=7,-2
a bottle of apple juice has 12 servings if 13 friends split the juice equally how many servings does each person get
Answer:
Each friend will get 0.92 of a serving
Step-by-step explanation: 12 servings divided by 13 peple equals 0.923
At Wendy's, 3 Baconators and 2 Frosty's cost $21.50. If 5 Baconator's and 1 Frosty cost $30, find the cost of one Baconator and one Frosty.
Answer:
1.00 would be the cost
Step-by-step explanation:
A box has 70 cookies . 10% are broken (a) What fraction is broken ?
(b) What fraction remained whole?
Answer:
Step-by-step explanation:
70(10/100)=7 broken cookies.
7/70=1/10 is the fraction broken
(70-7)/70=63/70 is the fraction remaining whole
Answer:
(a) 1/7 are broken
(b) 6/7 remain whole
Step-by-step explanation:
70 is a nice number to deal with in terms of percentages and fractions. If 10% of the cookies are broken, do 10/70. That fraction simplified gets you 1/7. To find the remaining whole cookies. Do 7/7 - 1/7 = 6/7 (or if you already know that in your head that works too)
Julie is graduating from college. She has studied biology, chemistry, and computing and hopes to work as a forensic scientist applying her science background to crime investigation. Late one night, she thinks about some jobs she has applied for. Let A, B, and C be the events that Julie is offered a job by:
A = the Connecticut Office of the Chief Medical Examiner
B = the New Jersey Division of Criminal Justice
C = the federal Disaster Mortuary Operations Response Team
Julie writes down her personal probabilities for being offered these jobs:
P(A) = 0.6
P(B) = 0.5
P(C) = 0.3
P(A and B) = 0.2
P(A and C) = 0.1
P(B and C) = 0.1
P(A and B and C) = 0
1. Make a Venn diagram of the events A, B, and C. Mark the probabilities of every intersection involving these events and their complements. Use this diagram to answer the following.
2. If Julie is offered the federal job, what is the conditional probability that she is also offered the New Jersey job? (Round your answer to two decimal places.)
3. If Julie is offered the New Jersey job, what is the conditional probability that she is also offered the federal job? (Round your answer to two decimal places.)
Answer:
A and B
Step-by-step explanation:
The graph shows your elevation during a bike ride. Which statement is true about your bike ride?
Answer:
You were running downhill for the first 15 minutes.
Quadrilateral DEFG has vertices at D(3,4) E(8,6) F(9,9) G(4,7). Prove that DGEF is a parallelogram
Select the statement that describes this expression: 32 ÷ 4 + ( fraction 1 over 2 x 16) − 2
Answer:
Step-by-step explanation:
32 ÷ 4 + ([tex]\frac{1}{2}*16) - 2[/tex] = 8 + (1*8) - 2
= 8 + 8 - 2
= 16 - 2
= 14
Answer:
The quotient of 32 and 4 added to the product of fraction 1 over 2 and 16, then subtract 2
Step-by-step explanation:
What is the slope of the line that passes through the points (2, -3) and (5, 1)
Answer:
Answer is (4) 4/3
Step-by-step explanation:
[tex]\frac{1- -3}{5-2}[/tex]
[tex]\frac{4}{3}[/tex]
Answer:
slope is 4/3
Step-by-step explanation:
1-(-3)/5-2
4/3
What are two fractions equivalent to 2/8?
Hm, any two? 1/4 and 4/16 are equal to 2/8.
Hope this helps.
Which answer is an equation in point-slope form for the given point and slope?
Point (1, 9), Slope: 5
(A) y - 9 = 5(x + 1)
(B) y+9 -5(x - 1)
(C) y-9=5(x - 1)
(D) y-1-5(x +9)
Answer:
Step-by-step explanation:
Point-slope equation for line of slope m that passes through (x₀,y₀):
y-y₀ = m(x-x₀)
In your case, m=5 and (x₀,y₀)=(1,9):
y-9 = 5(x-1)
Translate triangle HIK 4 units to the right and 1 unit up.
What are the coordinates of the vertices of the image?
A. H’(-10, 3), I’(-11, -6), and K’(-4, -7)
B. H’(6, 3), I’(-6, -11), and K’(-7, 5)
C. H’(10, 3), I’(11, -6), and K’(5, -7)
D. H’(-3, 10), I’(-6, 11), and K’(-7, -5)
Answer:
C. H'(10, 3 ), I(-11, -6), and K' (5, -7)
Step-by-step explanation:
Rigth on edge
0.4 divided by 2.3 plzz fast
Answer:
divided by 2.3 plzz fastdivided by 2.3 plzz fast
Step-by-step explanation:
divided by 2.3 plzz fast
divided by 2.3 plzz fastdivided by divided by 2.3 plzz fast plzz fast
find the equation for the line that passes through the point (4,-3), and that is perpendicular to the line with the equation y= -3/4x-3
Answer:
hi
Step-by-step explanation:
Answer
Slope between two given points (1,3) and (2,7) is
m=
2−1
7−3
=4
Then perpendicular slope is m
1
=
4
−1
The line equation with this slope is given by
y=
4
−1
x+c.......(1)
Now, the above line passes through the point (−4,−3)
⇒−3=
4
−1
×(−4)+c
⇒c=−4
Therefore required line is 4y+x+16=0 (Substitute
′
c
′
in (1) and simplify)
true or false. the cross section of a rectangular prism is a prism
Answer:
true
Step-by-step explanation:
1. The cost of a fish dinner for a restaurant is $7.95. If they sell it for $11.95, what is the percent markup?
Answer:
the answer will be
50.3144 %
how to find the interest for a 2% interest rate loan of $3000 for 1 year, BUT instead of the 2% in the example, switch it to 3% interest on a $3500 loan.
Answer: See Explanation
Step-by-step explanation:
Simple interest is calculated as:
= principal × rate × time.
The interest for a 2% interest rate loan of $3000 for 1 year will be:
= principal × rate × time.
= $3000 × 2% × 1
= $3000 × 2/100 × 1
= $3000 × 0.02 × 1
= $60
The interest for a 3% interest rate loan of $3500 for 1 year will be:
= principal × rate × time.
= $3500 × 3% × 1
= $3500 × 3/100 × 1
= $3500 × 0.03 × 1
= $105
In FGH, the measure of H=90°, HF = 91 feet, and GH = 50 feet. Find the measure of F to the nearest degree.
Answer:
28.8 degrees (rounded)
Step-by-step explanation:
you need to use tan^-1 in order to find x. tan is opposite side / adjacent side.
so...
tan^-1[tex]^[/tex](50/91) = 28.78661831
Answer:
Its 29
Step-by-step explanation:
I did the detla math
If a triangle has sides of 9 and 14, then the remaining side must be between and , with the smaller number listed first.
Answer:
I think the answer could be 11.5
Step-by-step explanation:
It's in the middle of both numbers
a=9
b=11.5
c=14
A small theater head six rows of 26 chairs each an extra seven chairs have just been brought in how many chairs are in the theater now
What is 56x1
Just a regular normal question from me
Your welcome in advance
Answer:
56
Step-by-step explanation:
Hope this helps
Answer:
56
Step-by-step explanation:
56×1=56
Question
A random sample of SAT scores has a sample mean ofă = 1060 and sample standard deviation of s = 195. Use the
Empirical Rule to estimate the approximate percentage of SAT scores that are less than 865.
Answer:
The approximate percentage of SAT scores that are less than 865 is 16%.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of 1060, standard deviation of 195.
Empirical Rule to estimate the approximate percentage of SAT scores that are less than 865.
865 = 1060 - 195
So 865 is one standard deviation below the mean.
Approximately 68% of the measures are within 1 standard deviation of the mean, so approximately 100 - 68 = 32% are more than 1 standard deviation from the mean. The normal distribution is symmetric, which means that approximately 32/2 = 16% are more than 1 standard deviation below the mean and approximately 16% are more than 1 standard deviation above the mean. So
The approximate percentage of SAT scores that are less than 865 is 16%.
How many tens are in the number 639
Answer:
63 tens are in 639 are in that number
Answer:
There are 63 full tens in 639.
Step-by-step explanation:
639÷10=63.9
Hope this helps! :)
туре or Movie
Number or
Students
36
Horror
Drama
26
Comedy
30
Sci-Fi
28
Based on the data in the table, what is the probability that a random
Answer: 3/4, because the probability of renting a comedy is 1/4
================================================================
Explanation:
We have 36+26+30+28 = 120 students. 30 of which rented a comedy.
The probability of renting a comedy is 30/120 = (30*1)/(30*4) = 1/4
The probability of not renting a comedy is 1 - (1/4) = 4/4 - 1/4 = (4-1)/4 = 3/4.
Or you could say that 1/4 = 0.25, so 1-0.25 = 0.75 which converts to the fraction 3/4.
If you had 4 people and 1 of them rents a comedy, then the other 3 hasn't rented a comedy.
The time to complete a project varies inversely
with the number of employees. If 3 people can
complete the project in 7 days, how long will it
take 5 people?
O 4.2
O 21
O 11.7
O 2.1
Answer:
4.2
Step-by-step explanation:
T = K/N
K= TN
= 3×7
K= 21
Therefore the time required for 5 employees can be calculated as follows
T= 21/5
= 4.2
It takes Naomi 4 minutes to run 5 laps. How long does it take her to run 30 laps? Use a table, double number line, tape diagram or another strategy to show your thinking.
(Please hurry I'm being timed)
Answer:
24 minutes
Step-by-step explanation:
5x6=30
4x6=24
An angle measures 154º more than the measure of its supplementary angle. What is the
measure of each angle?
Answer:
167 & 13
Step-by-step explanation:
(180-154)/2=
26/2=13
154+13=167
In a triangle with all sides equal, what is the degree measure of any of the
angles? Write one number. *
answer:
the degree measure would be 60°
60 + 60 + 60 = 180
therefore, 60 is the answer.
PleSee help!!! 10 points for it
Find the x and y intercepts for the following equation. 4x - 2y = 16
Answer:
( 4, 0 ) and ( 0,-8 )
Step-by-step explanation:
→ Rearrange into y = mx + c format
4x - 2y = 16
→ Minus 4x from both sides
-2y = -4x + 16
→ Divide everything by 2
-y = -2x + 8
→ Multiply everything by -1
y = 2x - 8
→ Substitute x = 0 to find the y-intercept and y = 0 to find the x intercept
x = 0 then y = -8 so ( 0,-8 )
y = 0 then x = 4 so ( 4, 0 )