Answer:
Tad ran 6 miles while Elaine ran 4 miles.
Step-by-step explanation:
Since Tad runs one-half mile for every one-third mile that Elaine runs, to determine, if together they run a total of 10 miles, how far does Tad run, the following calculation must be performed:
0.5 x 2 = 1
0.333 x 2 = 0.666
10 / 1.666 = X
6 = X
6 x 1 = 6
6 x 0.666 = 4
Therefore, Tad ran 6 miles while Elaine ran 4 miles.
Santos went on a bike ride of 90 miles. He realized that if he had gone 24 mph faster, he would have
arrived 12 hours sooner. How fast did he actually ride?
Need an answer fast
========================================
Explanation:
distance = rate*time
90 = r*t
where r is the slower speed and t is the time it takes when going that slower speed.
If r is bumped up 24 mph faster, to r+24, then Santos takes t-12 hours to get there. The second equation is
90 = (r+24)(t-12)
-------------------------------------
We can solve the first equation for r to get r = 90/t
Then plug this into the second equation and do a bit of algebra
90 = (r+24)(t-12)
90 = (90/t+24)*(t-12)
90 = 90 - 1080/t + 24t - 288
90t = 90t - 1080 + 24t^2 - 288t
0 = 90t - 1080 + 24t^2 - 288t-90t
0 = 24t^2 - 288t - 1080
24t^2 - 288t - 1080 = 0
If you apply the quadratic formula, then you should get the two solutions t = -3 and t = 15. Due to time constraints, I'll skip these steps.
We'll ignore the negative t value. It makes no sense to have a negative time.
So we focus on t = 15 as the only solution.
-------------------------------------
If t = 15, then,
r = 90/t
r = 90/15
r = 6
Santos rode his bike at 6 mph at first. Going this speed means he takes 15 hours.
If he rode 24 mph faster, at 6+24 = 30 mph, then he would ride for 15-12 = 3 hours instead. Note that 90/30 = 3.
Prove the identity
1. cot²x= csc²x-1
2. sin x tan x= sec x - cos x
Answer:
Step-by-step explanation:
Hope this helps u!!
Please help me its a math question
Find the value of x in the figure.
Answer:
x=28
Step-by-step explanation:
[tex]\huge\bold{To\:find:}[/tex]
✎ The value of [tex]x[/tex].
[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]
[tex]\sf\purple{The\:value\:of\:x\:is\:28°. }[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
Since it is right-angle,
[tex]Sum \: of \: angles \: = 90° \\ ⇢ (2x + 1) + 33 ° = 90° \\ ⇢2x + 34° = 90° \\ ⇢2x = 90° - 34° \\⇢ 2x = 56° \\⇢ x = \frac{56° }{2} \\ ⇢x = 28° [/tex]
[tex]\sf\blue{Therefore,\:the\:value\:of\:x\:is\:28°.}[/tex]
[tex]\huge\bold{To\:verify :}[/tex]
[tex](2x + 1) + 33° = 90° \\ ➡ \: 2 \times 28° + 1 + 33° = 90° \\ ➡ \: 56° + 34° = 90° \\ ➡ \: 90° = 90° \\ ➡ \: L.H.S.=R. H. S[/tex]
Hence verified.
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
The diameter of a circle in 5in.find its area to the nearest tenth
9514 1404 393
Answer:
19.6 in²
Step-by-step explanation:
The area in terms of the diameter is given by ...
A = (π/4)d²
A = π/4(5 in)² = 25π/4 in² ≈ 19.6 in²
When testing the difference between two independent population means, the sample variances are pooled to estimate the population variance when ________. Multiple Choice the population means are known the population variances are assumed equal but unknown the population variances are assumed unequal and unknown the population variances are known and equal
Answer:
the population means are known the population variances are assumed equal but unknown
Step-by-step explanation:
If σ1= σ2 (= σ) but unknown , then the biased pooled or combined estimate of the common variance σ² ( the term common variance means that each population has the same variance ) is given by
Sp²= (n1-1) s1² + (n2-1) s2²/ n1+ n2- 2
So first assumption is correct.
When the population variances are assumed unequal and unknown
If σ1 ≠ σ2 but unknown
we use the sample estimates s1 and s2 to compute the standard error of the difference between the means.
S(x1`- x2`) = √s1²/ n1 + s2²/n2
So this is does not apply here.
Mr.Bell gave out a science test last week to six honors students. The scores were 88, 94, 80, 79, 74, and 83. What is the standard deviation of the scores? Round to the nearest tenth
Answer:
88+94+80+79+74+83=
answer divided by 100 then get the answer
El volumen de un cubo, cuyos lados miden 4,5 cm corresponde a: A- 91 cm2 B- 91,1 cm C- 91 cm3
Answer:
La respuesta correcta es la opción C: 91 cm³.
Step-by-step explanation:
La fórmula del volumen de un cubo es la siguiente:
[tex] V = a^{3} [/tex]
En dónde:
a: es cada lado del cubo = 4,5 cm
Entonces, el volumen del cubo es:
[tex] V = a^{3} = (4,5 cm)^{3} = 91.1 cm^{3} \approx 91 cm^{3} [/tex]
Por lo tanto, la respuesta correcta es la opción C: 91 cm³.
Espero que te sea de utilidad!
A basket of carrots can be finished by 10 rabbits in 6 days. In how many days the basket will be
empty if 15 rabbits eat the carrots.
Answer:
7 or 8 days
Step-by-step explanation:
The answers is correct ⬆️
[tex](x - 7)(x - 5)[/tex]
Step-by-step explanation:
X=7 or x=5
It might be two answer to this question
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\textsf{(x - 7) (x - 5)}[/tex]
[tex]\large\text{DISTRIBUTE each of the numbers}[/tex]
[tex]\large\textsf{x(x) + (-5)x + (-7(x) + (-7)(-5)}[/tex]
[tex]\large\textsf{x(x) = \bf x}\bf ^2[/tex]
[tex]\large\textsf{x(-5) = \bf -5x}[/tex]
[tex]\large\textsf{-7(x) = \bf -7x}[/tex]
[tex]\large\textsf{(-7)(-5) = \bf 35}[/tex]
[tex]\mathsf{x^2 - 5x -7x + 35}[/tex]
[tex]\large\text{COMBINE the LIKE TERMS}[/tex]
[tex]\mathsf{x^2 -(5x - 7x) + 35}[/tex]
[tex]\mathsf{-5x -7x = \bf -12x}[/tex]
[tex]\mathsf{x^2 - 12x + 35}[/tex]
[tex]\boxed{\huge\text{Answer: \bf x}^2 \huge\text{\bf - 12x + 35}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitirite1040:)}[/tex]
solve this step by step using the quadratic function
y=x^2 +x+2
Answer:
x=+[tex]\frac{\sqrt{4y-7}-1 }{2}[/tex]
Step-by-step explanation:
Quadratic function =( -b+[tex]\sqrt{b^2+4ac}[/tex] )/2a
x^2+x+2-y=0
x=-1+[tex]\sqrt{1^2-4(2-y)}[/tex] /2
x=-1+[tex]\sqrt{4y-7}[/tex] /2
x=+ [tex]\frac{\sqrt{4y-7}-1 }{2}[/tex]
Pretty sure this is right. Would appreciate a brainliest
Janene is solving the equation log3x324=2. Which exponential equation can she use to solve the problem?
A. 324^2=3x
B. 334^x=2/3
C. (3x)^2=324
D. 3x^2=324
Answer:
Option C: (3*x)^2 = 324
Step-by-step explanation:
Janene is solving the equation:
Log₃ₓ(324) = 2
First, some rules we need to remember:
Logₙ(x) = Ln(x)/Ln(n)
and:
Ln(x^b) = b*Ln(x)
So we can rewrite our expression as:
Log₃ₓ(324) = Ln(324)/Ln(3*x) = 2
Ln(324) = 2*Ln(3*x)
Now we can use the second property:
Ln(324) = 2*Ln(3*x) = Ln( (3*x)^2 )
The arguments in both sides must be the same thing, then:
324 = (3*x)^2
This is the exponential equation she needs to solve.
Then the correct option is C.
help fast please lol
Answer:
Between 0 and 3: decreasing
Between 3 and 4: constant (stays the same)
Between 4 and 8: decreasing
Step-by-step explanation:
If A = 30 degree and B = 60 degree , what is the value of sin(A+B). *
a) 0
b) 1/2
c) √3/2
d) 1
Answer:
I THINK it's B 1/2
Step-by-step explanation:
Sorry if wrong
Answer:
In this case, D
Step-by-step explanation:
Sin(30+60)=0.8939966636 which can be rounded to 0.89.
Now that we got that out of the way, we supposedly can follow the process of elimination.
It's clearly not A since we know the answer isn't equivalent to zero.
1/2 equals 0.5, meaning B's also not it.
We also know the answer isn't D, since 0.89 does not equal 1.
That only leaves C. Yet when check, just in case, √3/2 equals 1.22474487, meaning that's not the answer.
We've eliminated every answer so far, meaning we should go back and check our work. As I stated earlier, 0.8939966636 can be rounded to 0.89, but it can also be rounded to 1. Meaning, the closest answer to what we're looking for is D.
Of course, there could always be an error in the question itself, but unfortunately, there's no way to confirm that without asking your instructor or tutor.
I hope that helps.
(04.01)Which unit rate is the lowest price per ounce?
Choice A: 15 ounces of chocolate chips for $2.49
Choice B: 20 ounces of chocolate chips for $3.32
O Choice A
Choice B
The unit rates are equal.
O the unit rates cannot be determined.
Which description represents the equation 7x - 2 = 33?
1. Two less than seven times a number equals thirty-three.
2. Two times the quantity of seven less than a number equals thirty-three.
3. Seven less than two times a number equals thirty-three.
4. Seven times two minus a number equals thirty-three.
Hi there!
»»————- ★ ————-««
I believe your answer is:
"1. Two less than seven times a number equals thirty-three."
»»————- ★ ————-««
Here’s why:
We are given the equation of [tex]\boxed{7x-2=33}[/tex].⸻⸻⸻⸻
[tex]\boxed{\text{Breaking the equation down:}}\\\\7x-2=33\\-------\\\rightarrow \text{'7x' - Seven times a number. The unknown value is 'x'.}\\\\\rightarrow \text{' - 2' - Minus 2.}\\\\\rightarrow \text{'= 33' - Equals 33.}\\---------\\\text{The phrase "'X' less than 'Y'" indicates:}\\\\Y - X \\---------\\\text{Two less than 7 times a number would be:}\\\\\boxed{7x - 2}[/tex]
⸻⸻⸻⸻
The first statement should be the appropriate statement for the given equation.
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Eight trials are simulated. The results are shown in the table.
Simulation
105 104 110 112
114 106 108 109
What is the estimated margin of error, using standard deviation?
Enter your answer, rounded to two decimal places, in the box.
± =
2.897
This should be you're anwser.
Someone help me asap!! its 7:51 and my brain completely shut off.
(ill give brainliest and 50 points!!)
What is the coefficient of the variable in the expression 4 − 3x − 7 + 6?
A) -7
B) -3
C) 4
D) 6
Answer:
B) -3
Step-by-step explanation:
The coefficient is the numerical value placed before and multiplying the variable (x).
Answer:
-3
Step-by-step explanation:
that's answer
hope it helps
In △ E F G △EFG, K K is the centroid. If K J = 7 KJ=7, find F K FK. E J G I F H K
Wesley made 3/4 of a liter of hot chocolate. Each mug holds 3/8 of a liter. How many mugs
will Wesley be able to fill?
Answer:
2
Step-by-step explanation:
you have to dived 3/4 by 3/8= 24/12=2
A model of a car is built with a scale of 1 inch : 4 feet. If the length of the model car is 2.7 inches, then the length of the car is how much feet?
Answer: [tex]10.8\ ft[/tex]
Step-by-step explanation:
Given
A model car is built with a scale of 1 inch: 4 feet
If the length of the model car is 2.7 inches
Suppose the length of the car is l
[tex]\therefore \dfrac{1}{4}=\dfrac{2.7}{l}\\\\\Rightarrow l=2.7\times 4\\\Rightarrow l=10.8\ ft[/tex]
Therefore, the length of the car is [tex]10.8\ ft[/tex]
plzplzplzhelpmeeeeeeeeee
Answer:
A = 7
Step-by-step explanation:
√50 = 7.07
approximating it will give you
= 7
Find the Area of the figure below, composed of a rectangle and one semicircle, with
another semicircle removed. Round to the nearest tenths place.
Answer:
56
Step-by-step explanation:
Simple just move the semicircle into the empty spot and there you go.
Look at the box plot. What is the median? *
5
15
25
35
HELP ME it's almost due
find the length of the diagonals of rectangle QRST
Answer:
11.since diagonal are equal of rectangle
QS=RT
4x+6=6x-4
6+4=6x-4x
2x=10
x=10/2
x=5
now
diagonal :4x+6=4*5+6=26
12.
again
QS=RT
9x+12=11x-10
12+10=11x-9x
2x=22
x=11
now
diagonal=9*11+12=99+12=111
In a sale,the selling price of a bicycle is recuced by 20%.
Find the sale price of the bicycle,given that its normal selling price is Rs 3300.
Original price = 3300
sale = 20% = 3300×20/100 = 660
Selling price= 3300-660= 2640 rs
the sale price of the bicycle is 2640 Rs
Which equation represents the line passes through (0,100) and (1, 160)
Answer:
b) y=60x + 100
Step-by-step explanation:
Jessica rents a bike for $15 plus $3 for each hour of use. She pays $27 in total. How long did Jessica rent the bike for? Choose the equation and solution which describe this situation.
Answer:
$27-$15
= $12
$3 per hour
$12÷$3
=4 hours
Jessica rent the bike for 4 hours.
A researcher posts a radio advertisement offering $35 in exchange for participation in a short study. The researcher accepts the first eight people who respond to the advertisement. Which of the following statements is true about the sample? (5 points) a It is a valid sample because the first eight people were selected to participate. b It is not a valid sample because it is not a random sample of the population. c It is a valid sample because money was offered to participants. d It is not a valid sample because it is only a short study.
attracting geometry genius’s
Answer:
Step-by-step explanation:
take angle x as reference angle
using sin rule
sin x=opposite/hypotenuse
sin x=11/13
sin x=0.846
x=sin 57.8
x=57.8 degree