Answer:
49 and 118
Step-by-step explanation:
Let the two numbers be x and y
x+y = 167
y = 3x-29
Substitute into the first equation
x+ 3x-29 = 167
Combine like terms
4x - 29 = 167
add 29 to each side
4x = 167+29
4x = 196
Divide by 4
4x/4 = 196/4
x = 49
x+y = 167
49+y = 167
y = 167-49
y =118
Answer:
[tex]\Huge \boxed{\mathrm{49 \ and \ 118}}[/tex]
Step-by-step explanation:
Let the first number be [tex]x[/tex]
Let the second number be [tex]y[/tex]
[tex]x+y=167[/tex]
[tex]y=3x-29[/tex]
Applying substitution method.
[tex]x+3x-29=167[/tex]
Combining like terms.
[tex]4x-29=167[/tex]
Adding 29 to both sides.
[tex]4x=196[/tex]
Dividing both sides by 4.
[tex]x=49[/tex]
Substituting x = 49 for the second equation.
[tex]y=3(49)-29[/tex]
Multiplying the numbers.
[tex]y=147-29[/tex]
Subtracting.
[tex]y=118[/tex]
The two required numbers are 49 and 118.
Please I need help!!!!
10. Examine the following solution to a linear equation. Do you see a mistake? Identify the first line of the solution that is incorrect (if any). Original Equation: 30x = 23(1 + 3) + 12x + 22
A. no mistakes
B. step 5
C. step 3
D. step 6
E. step 1
F. step 4
Answer:
x = 19/3
Step-by-step explanation:
Solve for x:
30 x = 12 x + 22 + 23 (1 + 3)
Hint: | Evaluate 1 + 3.
1 + 3 = 4:
30 x = 12 x + 22 + 4 23
Hint: | Multiply 23 and 4 together.
23×4 = 92:
30 x = 12 x + 22 + 92
Hint: | Group like terms in 12 x + 22 + 92.
Grouping like terms, 12 x + 22 + 92 = 12 x + (92 + 22):
30 x = 12 x + (92 + 22)
Hint: | Evaluate 92 + 22.
92 + 22 = 114:
30 x = 12 x + 114
Hint: | Move terms with x to the left hand side.
Subtract 12 x from both sides:
30 x - 12 x = (12 x - 12 x) + 114
Hint: | Combine like terms in 30 x - 12 x.
30 x - 12 x = 18 x:
18 x = (12 x - 12 x) + 114
Hint: | Look for the difference of two identical terms.
12 x - 12 x = 0:
18 x = 114
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of 18 x = 114 by 18:
(18 x)/18 = 114/18
Hint: | Any nonzero number divided by itself is one.
18/18 = 1:
x = 114/18
Hint: | Reduce 114/18 to lowest terms. Start by finding the GCD of 114 and 18.
The gcd of 114 and 18 is 6, so 114/18 = (6×19)/(6×3) = 6/6×19/3 = 19/3:
Answer: x = 19/3
PLEASE HELP ME! A) 5/6 B) 17/30 C) 8/15 D) 3/4
Answer:
[tex] \frac{17}{30} [/tex]
Step-by-step explanation:
[tex] \frac{2b + 4h}{bh} = \frac{2(10) + 4(12)}{10 \times 12} = \frac{20 + 48}{120} = \frac{68}{120} = \frac{34}{60} = \frac{17}{30}[/tex]
Hope this helps ;) ❤❤❤
Answer:
B) 17/30
Step-by-step explanation:
The expression is given to you:
(2b + 4h)/(bh)
The measurements for the variables are also given to you:
b = 10 ft.
h = 12 ft.
Plug in the corresponding numbers to the corresponding variables:
(2(10) + 4(12))/(10 * 12)
Solve. Remember to follow PEMDAS. First, solve for the multiplications within the parenthesis:
((2 * 10) + (4 * 12))/(10 * 12)
((20) + (48))/(120)
Next, Add 20 with 48:
(20 + 48)/120 = (68)/120
Then, divide:
68/120 = 17/30
B) 17/30 is your answer.
~
The radioactive substance cesium-137 has a half-life of 30 years. The amount A (t) (in grams) of a sample of cesium-137 remaining after t years is given by the
following exponential function.
t
30
A (t) =621
Answer:
391, and 98
Step-by-step explanation:
Plug in 20 where t appears:
621 (0.5)^20/30 = 621 x 0.62996 = 391.205
Rounded to 391
Plug in 80 where t appears:
621 (0.5)^80/30 = 621 x 0.6667 = 97.8
Rounded to 98
Based on the similar triangles shown below, Theodore claims that ∆TUV is transformed to ∆WXY with a scale factor of 32. Is Theodore correct? Yes, the triangles are similar with a scale factor of 32. No, the triangles are similar with a scale factor of 21. No, the triangles are similar with a scale factor of 23. No, the triangles are similar with a scale factor of 43.
Answer:
No, the triangles are similar with a scale factor of ⅔
Step-by-step explanation:
Given that ∆TUV was transformed to ∆WXY, it means the original lengths of ∆TUV were multiplied by a scale factor that reduced the lengths of ∆TUV to get the lengths of ∆WXY.
AA scale factor of ³/2 will increase the lengths rather than reduce it.
Therefore, the scale factor that was used was ⅔.
Thus, ⅔ of UT will give you the size of XW. Check it out below:
UT = 12, therefore, ⅔*12 = 8.
If x = 2 and y = -3, then what is -xy2
Answer:
-18
Step-by-step explanation:
Step 1: Substitute your x and y values in
[tex]-(2)(-3)^{2} \\(-2)9\\-18[/tex]
Therefore the answer when x = 2 and y = 3 is -18
How can you tell which decimal is greater 0.0009 or 0.009
Answer:
0.009
Step-by-step explanation:
you can tell by how many 0 are in front
Answer:
0.009
Step-by-step explanation:
Method 1
we say that they are equal 0.0009=0.009
we can multiply by 10000 both sides
and get
9=90
and that clearly is not true we notice that the right one is the biggest
Method 2
An easy method for this problem
just count how many zeroes are there after the decimal point
the one that has less is the biggest
1. Michael had to pay sales tax on the bike. At 6%, how much sales tax did he pay?
Answer:
*just rant 6%×273.95 in the calculator.
Step-by-step explanation:
it says there's a borrow, which is a loan. is it plus tax and loan interest? (I invest in real estate so I understand monthly interest.)
A study of bone density on 5 random women at a hospital produced the following results.
Age 37 41 57 65 73
Bone Density 355 345 340 315 310
Step 1: Calculate the correlation coefficient, r. Round your answer to six decimal places.
Step 2: Determine if r is statistically significant at the 0.01 level.
Step 3: Calculate the coefficient of determination, r2. Round your answer to three decimal places.
Answer:
- 0.9503 ; r is not statistically significant ; 0.9031
Step-by-step explanation:
Given the following :
Age (X) :
37
41
57
65
73
Bone density (Y)
355
345
340
315
310
Using the pearson R value calculator :
The r value of the data % - 0.9503.
This value depicts a very strong negative correlation between age and density of bone.
Using the pearson R calculator to obtain the P- value, the P value obtained is .01332 and hence the r is not significant at P < 0.01.
The Coefficient of determination R^2 can be obtained by getting the square value of R
R^2 = - 0.9503^2
R^2 = 0.90307009
R^2 = 0.9031
Someone help! It is urgent!!!
Answer:
a. f(-1)=12
b. f(2t)=16t²-6t+5
c. f(t-2)=4t²-19t+27
Step-by-step explanation:
For a, b, c, we are given an input. We plug that into f(x) to find our answers.
a. f(-1)=12
f(-1)=4(-1)²-3(-1)+5
f(-1)=4+3+5
f(-1)=12
-------------------------------------------------------------------------------------------------------------
b. f(2t)=16t²-6t+5
f(2t)=4(2t)²-3(2t)+5
f(2t)=4(4t²)-6t+5
f(2t)=16t²-6t+5
-------------------------------------------------------------------------------------------------------------
c. f(t-2)=4t²-19t+27
f(t-2)=4(t-2)²-3(t-2)+5
f(t-2)=4(t²-4t+4)-3t+6+5
f(t-2)=4t²-16t+16-3t+6+5
f(t-2)=4t²-19t+27
Which of these is a trinomial?
Answer:
D
Step-by-step explanation:
Because trinomial is a expression which consists of three terms
Nadia determines that there are no fractions equivalent to 2/10 with a denominator greater than 10, but less than 20, that have a whole number numerator and denominator. Is she correct?
Answer:
No, Nadia is incorrect. She could multiply both the numerator and denominator of the unit fraction equivalent to 2/10 by 3 and arrive at the equivalent fraction 3/15.
*Credits to another Brainly question. The person who asked the question put this answer in the answer options.*
Suppose that the functions and are defined as follows.
Answer: (q°r)(4) = 30
(r°q)(4) = 36
Step-by-step explanation:
First, when we have two functions f(x) and g(x), we have that:
(g°f)(x) = g(f(x))
So we are actually evaluating one function with other function.
Now, solving the problem:
q(x) = 2x - 2
r(x) = x^2
we have:
(q°r)(x) = q(r(x)) = 2*r(x) - 2 = 2*(x^2) - 2
(r°q)(x) = r(q(x)) = q(x)^2 = (2*x - 2)^2
Then:
(q°r)(4) = q(r(4)) = 2*r(4) - 2 = 2*(4^2) - 2 = 2*16 - 2 = 32 - 2 = 30.
(r°q)(4) = r(q(4)) = q(4)^2 = (2*4 - 2)^2 = 6^2 = 36.
Calculate the heat required to melt 1 g of gold at its melting point. The specific heat of fusion for gold is 64.5×103 J/kg.
Answer:
64.5J
Step-by-step explanation:
Q = ml
Q = (1/1000)kg X 64.5x10^3 J/kg
Q = 64.5 J
Answer:
I'm not positive but I think it's 64.5J
Step-by-step explanation:
Please, tell me if I'm wrong
Solve the equation. 7b -0.5 = 8b
Answer:
b = -0.5
Step-by-step explanation:
7b -0.5 = 8b
7b - 0.5 + 0.5 = 8b +0.5
7b -8b = 8b + 0.5 -8b
-x = 0.5
x = -0.5
On the graph of the equation 3x + 2y = 18, what is the value of the y-intercept? (1 point) a −9 b −6 c 6 d 9
the y-intercept=6.
because y must not be greater than 6
What is the value of u?
Solve x + x + 2 + 2x = -2. 1 -1 0 -2
Answer:x=-4+0.1/4
Step-by-step explanation:x+x+2+2x=-2.1-10-2
We move all terms to the left:
x+x+2+2x-(-2.1-10-2)=0
We add all the numbers together, and all the variables
x+x+2x+2-(-14.1)=0
We add all the numbers together, and all the variables
4x+16.1=0
We move all terms containing x to the left, all other terms to the right
4x=-16.1
x=-16.1/4
x=-4+0.1/4
Answer:
-1
Step-by-step explanation:
x + x + 2 + 2x = -24x +2 = -24x = -2 -24x = -4x= -4/4x= -1Answer is - 1
the sale tax for an item was $32.80 and it cost $410 before tax find the sales tax rate write the answer as a percentage
All we need to do is, divide the tax cost by the total cost of the item.
32.80 / 410 = 0.08
Multiply to find the percentage.
0.08 * 100% = 8%
Therefore, the tax rate is 8%.
Best of Luck!
H varies directly as L. H=18 when L=60, determine H when L=20
Answer:
6
Step-by-step explanation:
H is proportionate to L, meaning that they can be represented as a ratio, [tex]\frac{h}{l}[/tex].
[tex]\frac{18}{60}[/tex]
If we know that L in the same ratio is 20, we can set these ratio's equal to each other to find H.
[tex]\frac{18}{60} = \frac{x}{20}[/tex].
To find x, we can cross multiply.
[tex]20\cdot18=360\\\\360\div60=6[/tex]
So [tex]x=6[/tex], meaning that when [tex]L=20[/tex], [tex]H=6[/tex].
Hope this helped!
Answer:
H varies directly as L.
H=KL.
18=K60.
K=18/60=0.3.
H=0.3L
when H=?,L=20. then.
H=0.3×20=6.
Jaime Bailey is chair of a department at a college. Jaime has a budget in which
1.4 of the money is for photocopying, 2/5 of the money is for computer-related expenses, and the rest of the money is for student tutors in the foreign languages lab. What fraction of Jaime's budget is for student tutors?
Answer:
Step-by-step explanation:
7/20
Represent the total budget amount by b.
Then from this b, subtract b/4 and then from the result subtract 2/5:
b - b/4 = (3/4)b; now from this (3/4)b subtract (2/5)b:
Converting these proper fractions to decimal fractions, we get:
0.75b - 0.40b = 0.35b
This tells us that 35/100, or 7/20, of Jaime's budget is for tutors.
Apply the distributive property to simplify the expression. 8(3x − 6)
Answer:
[tex]\huge \boxed{24x-48}[/tex]
Step-by-step explanation:
The expression is given:
[tex]8(3x-6)[/tex]
Applying the distributive property.
[tex]8(3x)+8(-6)[/tex]
Simplifying the expression.
[tex]24x+-48[/tex]
What is the slope of the line?
Answer:
2/3
Step-by-step explanation:
Choose two points from the graph; count how far one point is away from the other. Simplify if needed.
(a) The perimeter of a rectangular field is 310 m.
If the length of the field is 84 m, what is its width?
(b) The area of a rectangular painting is 5185 cm.
If the width of the painting is 61 cm, what is its length?
Answer:
a. [tex] \boxed{ \bold{ \boxed{ \sf{width \: of \: rectangular \: field \: = 71 \: meter}}}}[/tex]
b. [tex] \boxed{ \bold{ \boxed{ \sf{length \: of \: rectangular \: painting \: = 85 \: cm}}}}[/tex]
Step-by-step explanation:
a. Given,
Perimeter of rectangular field ( P ) = 310 m
Length of the field ( L ) = 84 m
Width of the field ( W ) = ?
Finding the width of the rectangular field
[tex] \boxed{ \sf{perimeter \: of \: rectangle = 2(l + w)}}[/tex]
plug the values
⇒[tex] \sf{310 = 2(84 + w)}[/tex]
Distribute 2 through the parentheses
⇒[tex] \sf{310 = 168 + 2w}[/tex]
Swap the sides of the equation
⇒[tex] \sf{168 + 2w = 310}[/tex]
Move 168 to right hand side and change it's sign
⇒[tex] \sf{2w = 310 - 168}[/tex]
Subtract 168 from 310
⇒[tex] \sf{2w = 142}[/tex]
Divide both sides of the equation by 2
⇒[tex] \sf{ \frac{2w}{2} = \frac{142}{2} }[/tex]
Calculate
⇒[tex] \sf{w = 71 \: m}[/tex]
Width = 71 meters
------------------------------------------------------------
2. Given,
Area of rectangular painting ( A ) = 5185 cm²
Width of the painting ( w ) = 61 cm
Length of the painting ( l ) = ?
Finding length of the painting
[tex] \boxed{ \sf{area \: of \: rectangle = l \times w}}[/tex]
plug the values
⇒[tex] \sf{5185 = 61l}[/tex]
Swap the sides of the equation
⇒[tex] \sf{61 \: l \: = 5185}[/tex]
Divide both sides of the equation by 61
⇒[tex] \sf{ \frac{61 \: l}{61} = \frac{5185}{61} }[/tex]
Calculate
⇒[tex] \sf{l = 85}[/tex] cm
Length = 85 cm
Hope I helped!
Best regards !!!
How far have I travelled if I biked at 10mph for hhrs, I walked at 3mph for twice as long as I biked, and ran at 10mph for one quarter as long as I walked? Translate into expression, I will award brainiest!
Answer:
Total distance traveled= 21h miles
Step-by-step explanation:
You biked at 10 mph for h hours
Speed= 10 mpg
Time = h hours
Distance covered= speed*time
Distance covered= 10h miles
walked at 3mph for twice as long as I biked,
Speed= 3 mph
Time= twice as long as biked
Time= 2(h) hours
Distance= 2h*3
Distance= 6h miles
ran at 10mph for one quarter as long as I walked
Speed= 10 mph
Time= 1/4 of(2h)
Time= 1/2h hours
Distance= 1/2h*10
Distance= 5h miles
Total distance traveled
= 10h miles +6h miles+ 5h miles
Total distance traveled= 21h miles
5x - 8 + {6x – [3(x + 8) + 6]} = 6(x + 5)
Answer:
x=28
Step-by-step explanation:
PEMDAS
parenthesis first...
5x-8+(6x-3x-24+6)=6x+30 *remember to distribute the negative sign*
5x-8+(3x-18)=6x+30
8x-26=6x+30
2x=56
x=28
How is the product of 2 and –5 shown on a number line? A number line going from negative 10 to positive 10. An arrow goes from 0 to 5 and from 5 to 10. A number line going from negative 10 to positive 10. An arrow goes from 10 to 5 and from 5 to 0. A number line going from negative 10 to positive 10. An arrow goes from negative 10 to negative 5 and from negative 5 to 0. A number line going from negative 10 to positive 10. An arrow goes from 0 to negative 5 and from negative 5 to negative 10.
Answer:
D
Step-by-step explanation:
It starts at 0 and goes in the negative direction, whereas the others don't
Answer:
D
Step-by-step explanation:
Tutu and Pete go hiking. Tutu brings 7/10 liter of water. Pete brings 500 millimeters of water. How many more millimeters of water did tutu bring than Pete?
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
1 liter of water equals 1000 milliliters.
To find who has more water, you need to convert (the unit) of each person to either liters or milliliters.
Since it asks for millimeters, I'm going to convert Tutu's 7/10 liters to milliliters. Since there are 1000 milliliters in every liter, you have to multiply 7/10 by 1000. 7/10 multiplied by 1000 is 700.
So Pete has 500 milliliters of water and Tutu has 700 milliliters of water.
Now you need to find the difference of 700 and 500 by subtracting.
700-500=200
Tutu bought 200 more milliliters of water than Pete.
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
Х
z
Y
Which of these can all be found on the figure?
Answer:
x
Step-by-step explanation:
the figure always contains an x!;)
Anna said that the product of 7/8 ⋅ 1 1/2 =7/2. How can you tell that her answer is wrong/
Answer:
it's 77/16 and just say Anna's answer is wrong.
Answer:
The answer is 77/16, but you can go much dipper if you want. By just simplify 77/16, in 4×13/16. And the final result will be 4.8125. Please if you find it helpful give me a like and rate me.
what is 5/8 times 5/6
Answer:
25/48
Step-by-step explanation:
You want to multiply the numerators and the denominators
[tex]5 * 5 = 25\\\\6 * 8 = 48\\\\25/48[/tex]
Answer:25/48
Step-by-step explanation: