Answer:
85
Step-by-step explanation:
He walked 25 already. So you have x=25. He walks 5 km during each trip. There are 12 trips. 5 times 12 is 60. x=25+60. So, 25 plus 60 is 85.
GO LOOK AT MY LAST QUESTION PLEASE!!
ITS VERY HARD!!!
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Which expression is equal to
(2+2)(1-4)/(3–4)(+4)
Answer:
48
Step-by-step explanation:
2 + 2 is 4, 1 - 4 is -3, 3 - 4 is -1 and +4 is 4 if you multiply these together, you will get 48.
Factor the polynomials x^2 + 15x + 56
Final Answer: [tex](x + 7)(x + 8)[/tex]
Steps/Reasons/Explanation:
Question/Given: Factor the polynomials [tex]x^{2} + 15x + 56[/tex]
Step 1: Ask: Which two numbers add up to [tex]15[/tex] and multiply to [tex]56[/tex]?
[tex]7[/tex] and [tex]8[/tex]
Step 2: Rewrite the expression using Step 1.
[tex](x + 7)(x + 8)[/tex]
~I hope I helped you :)~
Camilla baked 15 cookies with 3 scoops of flour. How many scoops of flour does Camilla need in order to bake 20 cookies? Solve using unit rates.
Answer:
camilla needs 4 scoops of flow because 3 is related to 15 bc "5x3=15" and that gives us to only need 1 more cup to get 20 cookies
For a dinner party, a catering company charges a set
fee of $150 plus $20 per person.
How much will it cost for 35 people to attend the event?
Justify your work
Answer:
$850
Step-by-step explanation:
35 x 20 = 700 + 150 = $850 or 850
$20 per person and 35 people = $700 + the $150 fee = $850
simplify [tex]\sqrt{80} + \sqrt{2\frac{2}{9}[/tex]
Answer:
[tex]\displaystyle \frac{14}{3}\sqrt{5}[/tex]
Step-by-step explanation:
Simplify:
[tex]\displaystyle \sqrt{80} + \sqrt{2\frac{2}{9}}[/tex]
We must express the mixed fraction into an improper fraction:
[tex]2\frac{2}{9}=2+\frac{2}{9}=\frac{20}{9}[/tex]
[tex]\displaystyle \sqrt{80} + \sqrt{2\frac{2}{9}}=\displaystyle \sqrt{80} + \sqrt{\frac{20}{9}}[/tex]
Since 80 = 16*5 and 20=4*5
[tex]\displaystyle \sqrt{80} + \sqrt{2\frac{2}{9}}=\displaystyle \sqrt{16*5} + \sqrt{\frac{4*5}{9}}[/tex]
[tex]\displaystyle \sqrt{80} + \sqrt{2\frac{2}{9}}=\displaystyle 4\sqrt{5} + \frac{2}{3}\sqrt{5}[/tex]
Adding the fractions:
[tex]\displaystyle \sqrt{80} + \sqrt{2\frac{2}{9}}=\displaystyle (4 + \frac{2}{3})\sqrt{5}[/tex]
[tex]\mathbf{\displaystyle \sqrt{80} + \sqrt{2\frac{2}{9}}=\displaystyle \frac{14}{3}\sqrt{5}}[/tex]
what's the fromula for finding the perimeter of a triangle?
Answer:
Add up all the sides.
Step-by-step explanation:
Add up all the sides.
Add up all the sides of the triangle that is the perimeter.
Hope this helps plz hit the crown :D
I need help plz I can't seem to solve this
HELP ME WITH THIS ASAP TYSM
Answer:
6 + 21r
Step-by-step explanation:
3 ( 2 + 7r )
3 ( 2 ) = 6
3 ( 7r ) = 21r
6 + 21r
Hope this helps dude ^-^
Answer: 6 + 21r
Step-by-step explanation:
distribute the 3 to each thing in the parentheses
so 3(2 + 7r) becomes
3(2) + 3(7r)
6 + 21r
What is the slope of this graph? (1,6) A 2 3.0) B В
Answer:
-3
Step-by-step explanation:
pls mark as brainliest
Name the angle in (4) different ways.
Answer:
um in languages or different angles
Step-by-step explanation:
2. The angle of elevation of the top of a vertical
cliff, as seen from a boat 120 m away, is 32°.
The angle of elevation of the top of a flagpole
at the edge of the cliff, as seen from the boat,
is 37º. Find the height of the flagpole.
Answer: 15.44 m
Step-by-step explanation:
We can think this as two triangle rectangles.
In both cases, the adjacent cathetus is 120m.
When the angle is 32°, the opposite cathetus will be the height of the cliff.
When the angle is 37°, the opposite cathetus will be the heigth of the cliff plus the height of the flagpole.
Then we need to compute both of them and calculate the difference.
We can use the trigonometric relation:
Tan(θ) = (opposite cathetus)/(adjacent cathetus)
in this case we have:
Tan(32°) = (height of the cliff)/(120m)
Tan(32°)*120m = height of the cliff = 74.98m
Now we can use the other angle to compute:
Tan(37°) = (heigth of the cliff + heigth of the flagpole)/120m
Tan(37°)*120m = heigth of the cliff + heigth of the flagpole = 90.42m
Then the height of the flagpole will be:
H = 90.42m - 74.98m = 15.44 m
Please helppppp i need help
Answer:
hekp
Step-by-step explanation:
Answer: 6896.8
Step-by-step explanation: multiply the number by 100 first, then multiply that number by 16!
Tinky Winky is 2 years younger than Laa Laa. If the product of Tinky's and Laa Laa's ages is equal to 1 less than 5 times the sum of their ages, how old is Tinky?
Answer:
Solution:-Let
Tinky's age=x
Laa's age=x+2
According to the question
[tex]\qquad\quad {:}\longmapsto\sf 5 (x+x+2)-1=x (x+2)[/tex]
[tex]\qquad\quad {:}\longmapsto\sf 5(2x+2)-1=x^2+2x [/tex]
[tex]\qquad\quad {:}\longmapsto\sf 10x+5-1=x^2+2x [/tex]
[tex]\qquad\quad {:}\longmapsto\sf 10x+4=x^2+2x [/tex]
[tex]\qquad\quad {:}\longmapsto\sf 10x-2x+4=x^2 [/tex]
[tex]\qquad\quad {:}\longmapsto\sf x^2=8x+4 [/tex]
[tex]\qquad\quad {:}\longmapsto\sf x^2-8x-4=0 [/tex]
A scuba diver is swimming 15 feet below the water’s surface.
The diver swims up slowly at 0.5 feet per second for 4 seconds; and then stops to look at an eel. Finally, the diver swims up for 3 more seconds at 0.4 feet per second. What is the diver’s new depth?
Answer: -11.8 = 11.8 feet below the water's surface
Step-by-step explanation:
-15 + (0.5)(4) + 3(0.4)
-15 + 2 + 1.2
-11.8
Scientists want to estimate the mean weight of mice after they have been fed a special diet. From previous studies, it is known that the weight is normally distributed with standard deviation 5 grams. How many mice must be weighed so that a 95% confidence interval will have margin of error of 0.6 grams?
Answer: n = 267
Step-by-step explanation: Margin of Error shows the percentage that will differ the result you get from the real population value or, in other words, is the range of values in a confidence interval.
It can be calculated as
margin of error = [tex]z\frac{s}{\sqrt{n} }[/tex]
in which
z is z-score related to the confidence interval, which is this case is 1.96;
s is standard deviation;
n is the number in a sample;
So, the number of mice must be:
margin of error = [tex]z\frac{s}{\sqrt{n} }[/tex]
[tex]0.6=1.96\frac{5}{\sqrt{n} }[/tex]
[tex]\sqrt{n}=\frac{1.96*5}{0.6}[/tex]
[tex]\sqrt{n}=16.33[/tex]
n = 267
For the margin of error with 95% confidence interval be 0.6, it is needed 267 mice.
The total number of mice must be weighed so that a 95% confidence interval will have a margin of error of 0.6 grams is 267 and this can be determined by using the formula of margin of error.
Given :
Scientists want to estimate the mean weight of mice after they have been fed a special diet. From previous studies, it is known that the weight is normally distributed with a standard deviation of 5 grams.95% confidence interval.The formula of margin of error can be used in order to determine the total number of mice. The formula of margin of error is given by:
[tex]\rm MOE = z\dfrac{s}{\sqrt{n} }[/tex]
where z is the z-score, s is the standard deviation, and n is the sample size.
Now, substitute the known values in the above formula.
[tex]\rm 0.6 = 1.96\times \dfrac{5}{\sqrt{n} }[/tex]
Simplify the above expression in order to determine the value of 'n'.
[tex]\rm n =\left(\dfrac{1.96\times 5}{0.6}\right)^2[/tex]
n = 267
Therefore, the total number of mice must be weighed so that a 95% confidence interval will have a margin of error of 0.6 grams is 267.
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if the scientific notation is 9.63x10^-3 what would it look like in standard form? MARKING BRAINLIEST!!!!
Answer:
.00963
Step-by-step explanation:
Since its 10^-3, the decimal point moves to the left 3 times. hope this helped :)
the ratio of North American butterflies to South American butterflies that a butterfly Park is 8:4 the ratio of South American butterflies the European butterflies is 4:2 there are 64 in North American butterflies in a butterfly Park part 1 out of 2 how many South American butterflies are there?
Answer:
5x - North American Butterflies.
3x - South American Butterflies.
5x = 30 (Divide By 5).
x = 6.
3x = 18.
3x - South American Butterflies.
2x - European Butterflies.
2x = 2 * 6 = 12
There Are 12 European Butterflies And 18 South American Butterflies.
Step-by-step explanation:
33.For a car traveling at a constant speed, the distance driven, d
kilometers, is represented by d(t)=80t, where t is the time in hours. The
cost of gasoline, in dollars, for the drive is represented by C(d)=0.09d.
Evaluate C(d(10))
Given:
[tex]d(t)=80t[/tex]
[tex]C(d)=0.09d[/tex]
To find:
The value of [tex]C(d(10))[/tex].
Solution:
We have,
[tex]C(d(10))=C(80(10))[/tex] [tex][\because d(t)=80t][/tex]
[tex]C(d(10))=C(800)[/tex]
Now,
[tex]C(d(10))=0.09(800)[/tex] [tex][\because C(d)=0.09d][/tex]
[tex]C(d(10))=72[/tex]
Therefore, the value of [tex]C(d(10))[/tex] is 72.
What’s the solution to the equation
ANSWER: D
30.16=17.56+5x
30.16-17.56=5x
12.6=5x
x=12.6/5
x=2.52
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The points in the table lie on a line. Find the slope of the line.
Answer:
-7/6
explanation
if the points correlating to the (x,y) functions are plotted out on a graph, using the rise-over-run method will result in finding a slope of -7/6
Hi! Can someone please answer this and show work, please? Thanks!
-4(3v-4)=52
natalie is baking cupcakes. Each cupcake needs ½ a cup of sugar. How many cupcakes can she make if she has 7 ⅓ cups of sugar? show your work
Answer:
14
Step-by-step explanation:
If each cupcake needs 1/2 cup of sugar, you need to divide the total cups of sugar by 1/2.
7 1/3 ÷ 1/2= 14.6
You cant have .6 of a cupcake, therefore she can make 14 cupcakes.
a) by completing the square find in the form of the constant p the roots of the equation x^2+px+4=0
b) hence find the set of values of p for which the equation has no real roots
Answer:
a)
[tex]\displaystyle x=-\frac{1}{2}p\pm\sqrt{\frac{1}{4}p^2-4}[/tex]
b) p is in the interval (-4,4)
Step-by-step explanation:
Quadratic Equation
It's given the following quadratic equation:
[tex]x^2+px+4=0[/tex]
a)
It's required to complete squares and find the roots. This can be done by recalling the polynomial identity:
[tex]a^2+2ab+b^2=(a+b)^2[/tex]
We already have the first term squared, and we need to find the second term. Rewriting the equation:
[tex]\displaystyle x^2+2(\frac{1}{2}px)+4=0[/tex]
The second term of the binomial is 1/2p, thus completing the squares with [tex]b^2[/tex]:
[tex]\displaystyle x^2+2(\frac{1}{2}px)+\left(\frac{1}{2}p\right)^2+4-\left(\frac{1}{2}p\right)^2=0[/tex]
Factoring:
[tex]\displaystyle \left(x+\frac{1}{2}p\right)^2+4-\frac{1}{4}p^2=0[/tex]
Moving the independent term to the right side:
[tex]\displaystyle \left(x+\frac{1}{2}p\right)^2=\frac{1}{4}p^2-4[/tex]
Taking the square root:
[tex]\displaystyle x+\frac{1}{2}p=\pm\sqrt{\frac{1}{4}p^2-4}[/tex]
Solving for x:
[tex]\displaystyle x=-\frac{1}{2}p\pm\sqrt{\frac{1}{4}p^2-4}[/tex]
b) If the equation won't have real roots, then the radicand should be negative:
[tex]\displaystyle \frac{1}{4}p^2-4<0[/tex]
Factoring:
[tex]\displaystyle \left(\frac{1}{2}p-2\right)\left(\frac{1}{2}p+2\right)<0[/tex]
The zeros of the left-side polynomial are:
[tex]\displaystyle \frac{1}{2}p-2=0[/tex]
[tex]\displaystyle \frac{1}{2}p=2[/tex]
p = 4
[tex]\displaystyle \frac{1}{2}p+2=0[/tex]
[tex]\displaystyle \frac{1}{2}p=-2[/tex]
p = -4
The inequality:
[tex]\displaystyle \left(\frac{1}{2}p-2\right)\left(\frac{1}{2}p+2\right)<0[/tex]
Is satisfied for values of p in the interval (-4,4)
A fireman's ladder leaning against a house makes an angle of 50° with the ground. How long is the ladder if the ladder is 8 feet from the foot of the house?
The ladder would be 12.4 feet hope that helps
MATH QUESITON - PLEASE ANSWER ASAP
Please look at the picture below and give me answers to both the questions.
Answer:
16)
Bobby - 70
Hannah - 90 (Wins the round)
Carlos - 80
17)
Bobby - 7 (Wins the round)
Hannah - 3
Carlos - 5
Step-by-step explanation:
First we can make the variable n into each of the values they chose for the equations. Let's start with 16.
The equation is - (3+7) X (10 - n ÷2)
Now let's input the numbers 6 , 2, and 4 one at a time to figure out the answer.
USE PEMDAS!!!
16)
Bobby -
1. (3+7) X (10 - 6 ÷2)
2. 10 X (10 - 6 ÷ 2)
3. 10 X 7
4. Answer for Bobby - 70
Hannah -
1. (3+7) X (10 - 2 ÷2)
2. 10 X (10- 2 ÷2)
3. 10 X 9
4. Answer for Hannah - 90 (Wins the round)
Carlos -
1. (3+7) X (10 - 4 ÷2)
2. 10 X (10 - 4 ÷ 2)
3. 10 X 8
4. Answer for Carlos - 80
17)
Bobby -
1. (2 X 6 + 2) ÷ 2
2. (12 + 2) ÷ 2
3. 14 ÷ 2
4. Answer for Bobby - 7 (Wins the round)
Hannah -
1. (2 X 2 + 2) ÷ 2
2. (4+2) ÷ 2
3. 6 ÷ 2
4. Answer for Hannah - 3
Carlos -
1. (2 X 4 + 2) ÷ 2
2. (8+2) ÷ 2
3. 10 ÷ 2
4. Answer for Carlos - 5
Hope this Helps!!! :)
Let me know if I should change anything or if the answer was perfect!!!
9.) At the electronics store where you
sells for $459.20, what was the original
price of the tv
Answer:
558.7805
Step-by-step explanation:
Plz answer these 2 I’ll mark brainliest
Answer:
16. C
17. B
sorry if i got it wrong
Answer:
THE ANSWER
A
B
Step-by-step explanation:
MARK BRAINLIEST
Miguel has 48 pieces of quartz. He wants to
divide the pieces equally into 9 bags. How
many pieces of quartz will be in each bag?
How many pieces will be left over? Use tiles
or draw an array to help you find the answer.
Answer:
49
Step-by-step explanation:
A car dealership sold 84 cars in April. The dealership wants to increase the number of cars sold by 25% in May. How many cars will the dealership need to sell to reach their goal?
Answer: 105 Cars
Step-by-step explanation: To get an increase of 25% you need to multiply 84 by .25 then add the product of that to 84 to get 105
The number of cars dealership need to sell to reach their goal is, 105 cars
What is the percentage?Percentage is a way to express a number as a fraction of 100. It is often used to represent ratios and proportions in a more convenient and understandable form, especially in financial and statistical contexts. For example, 50% means 50 per 100, or half of a given quantity. It is denoted using the symbol "%".
Given that,
A car dealership sold 84 cars in April,
The dealership wants to increase the number of cars sold by 25% in May
The number of cars dealership need to sell to reach their goal = ?
This represents a 25% increase, which is the same as adding one quarter to the original number of cars sold.
The car dealership wants to increase the number of cars sold by 25% in May, which means that they want to sell,
⇒ 84 x 1.25 = 105 cars
So, the dealership will need to sell 105 cars in May in order to reach their goal of increasing the number of cars sold by 25%.
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