Answer:
x² + 3x - 989 = 0 (where x is the number of miles traveled on Monday)
Step-by-step explanation:
Let x = number of miles traveled on Monday
Let y = number of miles traveled on Tuesday
Let z = number of miles traveled on Wednesday
Given:
Mr. M traveled 5 miles fewer than twice the number of miles on Tuesday as Monday⇒ y = 2x - 5
Given:
On Wednesday he traveled 40 more than the square of the number of miles traveled Monday⇒ z = x² + 40
Given:
Total miles traveled = 1024⇒ x + y + z = 1024
Substitute y = 2x - 5 and z = x² + 40 into x + y + z = 1024:
⇒ x + 2x - 5 + x² + 40 = 1024
⇒ x² + 3x + 35 = 1024
⇒ x² + 3x - 989 = 0 (where x is the number of miles traveled on Monday)
Simplify the expression: 6+12x = ______
Please help! I would be really grateful-this is due tonight! Please answer ASAP
Answer: 6(1+2x)
Step-by-step explanation:
Factor out the six
Which polynomial is in standard form?
Step-by-step explanation:
Standard form is when the degree is in decreasing order
Second polynomial has the first term with highest exponent and second term with second highest exponent and so on
Ivan must choose a number between 55 and 101 that is a multiple of 4, 5, and 8. Write all the numbers that he could choose. If there is more than one number, separate them with commas.
Answer:
the answe is 80!
Step-by-step explanation:
It is 80! Hope it helps
what is the rate of change for the numbers 3,5,7,9
Answer:
Plus 2 (+2)
Step-by-step explanation:
The rate of change is always a constant change from the given first term to the next one. In this case, you are adding 2 each time:
3 + 2 = 5
5 + 2 = 7
7 + 2 = 9
etc.
~
Change means difference in the state or condition of a thing and here the thing is number. The change made within them must be following some certain rules or patterns.
They can be uniform and here it is uniform for sure. The terms are increasing by 2 or we can say that for getting th next number, we need to add 2 with the previous.
3 + 2 = 55 + 2 = 77 + 2 = 9So, the rate of change for the above numbers or number series is +2 or addition of 2[tex].[/tex]
Carry On Learning !
Need help asap please help
Answer:
20
Step-by-step explanation:
[tex] {x}^{2} = {16}^{2} + {12}^{2} [/tex]
[tex] { x}^{2} = 256 + 144[/tex]
[tex] {x}^{2} = 400[/tex]
[tex]x = 20[/tex]
Complete the square for each expression. Write the resulting expression as a binomial squared. x^2-10x+_____
Answer:
[tex](x-5)^{2}[/tex]
Step-by-step explanation:
[tex]ax^{2} + bx + c[/tex]
Take the value for b, divide it by 2 and square it to get the value for c.
In this case, b = -10.
- 10 ÷ 2 = -5
-5^2 = 25
So x^2 - 10x +25 is your quadratic equation which is equal to
[tex](x-5)^{2}[/tex]
How would you calculate ( 2x + 1 )( x + 6 )( x - 4 ) = 2x^3 + ax^2 + bx -24
(2x+1)(x+6)(x-4)= 2x³+ax²+bx-24
(2x²+x+12x+6)(x-4) = 2x³+ax²+bx-24
2x³+x²+12x²+6x-8x²-4x-48x-24 = 2x³+ax²+bx-24
2x³+x²+12x²+6x-8x²-4x-48x-24- 2x³-ax²+bx-24=0
5x²-46x-ax²+bx-48=0
-ax²+5x²+bx-46x-48=0
Teresa earns $6.25 per hour. calculate her wage for the week if she works 24 hours
Answer:
$1050
Step-by-step explanation:
6.25 x 24 = 150
150 x 7 = 1050
Answer: The answer is $1050
Step-by-step explanation: You why? Because 6.25 x 24 = 150 150 x 7 = 1050 so it's $1050
which expression is equivalent to 2×-17?
is it
A) -17+2×
B) -2×+17
C) -2×-17
D) 17+2×
Answer:
B because based by what I'm seeing it is the same answer to the other equation. Which is -34.
please someone answer!!
Answer:
x=31
Step-by-step explanation:
x=180-149
x=31
A truck travels 0.72 km on 0.01 litre of fuel.
How many kilometres will it travel on 1 litre of fuel?
Answer:
Your Answer is below.
Step-by-step explanation:
Okay so, can setup a proportion.
0.72 km = 0.01 L
x km = 1 L
So, solve for x
x = 0.72 km x 1 L / 0.01 L = 72 km
please help, i need to do this by today but i cant figure it out.
Rosie orders dessert at the
cafe. The total bill is
$53.00. She tips the waiter
25%. How much money is
left for the waiter?
Answer:
$13.25
Step-by-step explanation:
100% = $53
÷ 4 both sides to get to 25%
25% = $13.25
Courtney has 4/15 bags of flour o use in her donut shop. each bag of flour will make 12.5 batches of doughnut . how many batches of doughnuts willcourtney be ableto make
Answer: [tex]3\frac{1}{3}[/tex]
3/5 dived by 2/5 pzill give brainliest
Answer:
6
Step-by-step explanation:
Answer:
1/5
Step-by-step explanation:
0.5 is what percent of 20?
Answer:
2.5%
Step-by-step explanation:
Solving
Step 1: Set up an equation.
[tex]\frac{x}{100} *20=0.5[/tex]Step 2: Simplify both sides.
[tex]\frac{20}{100}x=0.5[/tex] [tex]\frac{1}{5}x=0.5[/tex] [tex]0.2x=0.5[/tex]Step 3: Divide both sides by 0.2
[tex]0.2x/0.2=0.5/0.2[/tex] [tex]x=2.5[/tex]Therefore, 0.5 is 2.5% of 20.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
X=?
0.5
total from 20
what percentage is O.5 of 20
therefore X/100*20 = 2.5
Find the missing side length. Leave your answers as radicals in simplest form.
Explain the steps
Answer:
m = 5
n = 5
Step-by-step explanation:
Note that the ∑ of the interior angles of a triangle = 180°.
A square for one of the angles constitute as 90°.
This means that this is a isosceles triangle.
Note that for isosceles triangles, the sides will follow the rule of 1 , 1 , √2, in which √2 is the hypotenuse.
The hypotenuse is the side opposite of the greatest angle measurement. It is given that the hypotenuse for the given triangle is 5√2. Divide √2 from the given measurement to get the measurements for the legs:
[tex]\frac{5\sqrt{2} }{\sqrt{2} } = 5[/tex]
Again, as it is a isosceles triangle, the two sides will share the same measurement.
m = 5
n = 5
~
NOBODY ANSWERD THIS YET BUT CAN YOU HELP ME!!
Answer:
yes i can help you
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
Find the percentage of the given fractions.
a) 32.5/40
b) 31.5/40
c) 29.5/35
d) 26/35
e) 24/35
Round to the nearest whole number.
Answer:
Step-by-step explanation:
a) 32.5/40
= 32.5/40 * 100%
= 81.25%
~81%
b) 31.5/40
= 31.5/40 * 100%
= 78.75%
~79%
c) 29.5/35
= 29.5/35 * 100%
= 84.3%
~84%
d) 26/35
26/35 * 100%
= 74.3%
~74%
e) 24/35
24/35 * 100%
= 68.6%
~69%
Answer:
See below ~
Step-by-step explanation:
a) 32.5/40
32.5/40 = 0.8125⇒ 81.25%⇒ 81%b) 31.5/40
31.5/40 = 0.7875⇒ 78.75%⇒ 79%c) 29.5/35
29.5/35 = 0.8429⇒ 84.29%⇒ 84%d) 26/35
26/35 = 0.7429⇒ 74.29%⇒ 74%e) 24/35
24/35 = 0.6857⇒ 68.57%⇒ 69%in class 60% are girls and 50 are boys find the total student of class
Hello
60 % are girls
40 % are boys
40 % = 50 boys
60 % = 75 girls
75 + 50 = 125
Step-by-step explanation:
Let number of students be X
Percentage of boys=100-60=40%
No of boys= 40% of X
50= 40×X/100
X= 50 × 100/40
X =125 total number of students
Please answer ASAP and right please!
Answer:
she'll have 8 plates with 7 spring rolls and 9 plates with 9 cheese cubes.
Step-by-step explanation:
Rafael has bought 24 pounds of dog food. he feeds his dog 3/8 pounds for each meal. for how many meals will the food last?
Lines a and b are parallel. The slope of line b is 1/3. What is the slope of line a?
Answer:
1/3
Step-by-step explanation:
Parallel lines have the same slope.
Therefore, if the slope of line b is 1/3, the slope of line a is also 1/3
A pear costs $0.40 and an Apple costs $0.25. What is the total cost of p pear and a apples?
Answer:
$0.65
Step-by-step explanation:
$0.40 + $0.25 = $0.65
Answer:
0.40p+0.25a=cost
Step-by-step explanation:
Considering that every apple costs 25 cents and every pear costs 40 cents, you would multiply how many apples and or pears there are by how much they are worth and then add it to get the total cost. Due to there not being a specific total or how many apples and/or pears there are, it currently can't be solved.
Which interval on the graph could be described as linear constant?
I NEEEEEEEED HEEEEEEEEEEEEELLLLLLLLLLLLLLLPPPPPPPPPPPPP PPPPPPPPPPPLLLLLLLLLLLLLLLLZZZZZZZZZZZZZ
-25=5/7x
5/7 is a fraction
Answer:
Hey! I have two answers for you. If x is next to the denominator of 7 then its −1/35 but if x is next to the whole fraction then its just -35
Step-by-step explanation:
NEED HELP ASAP!!!!!!!!!
Steve has 12 biscuits in a tin.
There are 7 digestive, 2 chocolate and 3 ginger biscuits.
Steve takes two biscuits at random from the tin.
Work out the probability that he chooses two different types of biscuits.
Answer:
There are two patterns to chose two different biscuits; a digestive then a chocolate or a chocolate and then a digestive.
The probability of choosing a digestive then a chocolate is as follows:
7/12 * 5/11 =0.265
The probability of choosing a chocolate then a digestive is as follows:
5/12*7/11 = 0.265
Therefore the combined probability is 0.53 or 53%
Probability of digestive and chocolate
7/12×2/11=14/132=7/66And
2/12×7/11=7/66Probability of digestive and ginger
7/12×3/11=21/132=7/44And
3/12×7/11=7/44Probability of ginger and chocolate
2/12×3/11=6/132=3/66=1/22Saturday a minor league baseball team gave away baseball cards to each person entering the stadium.On group recieved 28 baseball cards.A second group recieved 84 baseball cards.If each person entering the stadium recieved the same number lf baseball cards, what is the greatest number of baseballs cards they could have recieved?Rewrite using distrubutive property
Answer: 28
Step-by-step explanation:
Given: First group received 28 baseball cards and second group received 84 baseball cards.
Total cards= 28+84 =112
If each person entering the stadium received the same number , the greatest number of baseballs cards they could have received = G.C.D. (28,84,112)
[G.C.D. = greatest common divisor]
Since the prime factorization of 28 , 84 and 112 are as follows
28 = 2 x 2 x7
84 = 2 x 2 x 3 x 7
112 = 2 x 2 x 2 x 2 x 7
G.C.D (28, 84, 112 )= 2 x 2 x7 = 28
The greatest number of baseballs cards they could have received = 28
An angle is a right angle if it measures 30°.
Write the statement in if-then form.
Then identify the hypothesis and conclusion of the resulting conditional statement.
Finally, determine the truth value of the statement.
2. Write your own statement in if-then form. Then identify the hypothesis and conclusion of the resulting conditional statement.
Determine the truth value of the statement.
Write it’s converse to see if it’s true. If the converse is true, write a bi-conditional statement.
Answer:
1) If the measure of an angle is 30°, then it is a right angle
2) The hypothesis = The measure of an angle is 30°
The conclusion = It is a right angle
3) The statement is false
Step-by-step explanation:
1) The information given is that an angle is a right angle if it measures 30°
The statement in the if-then form can be presented as follows;
If the measure of an angle is 30°, then it is a right angle
2) The hypothesis = The measure of an angle is 30°
The conclusion = It is a right angle
3) Given that a right angle measures 90°, the compound statement; "If the measure of an angle is 30°, then it is a right angle" is false.
Lillian was out at a restaurant for dinner when the bill came. she wanted to leave a tip of 17%. what number should she multiply the cost of the meal by to find the total plus tip in one step?
Answer:
she should multiply the cost of the meal by 1.17
Step-by-step explanation:
because 1 is the cost of the meal and 0.17 is the tip percent (hope this helps)