Answer:
[tex] x = \dfrac{1}{2} [/tex] or [tex] x = \dfrac{3}{2} [/tex]
Step-by-step explanation:
[tex]log_x (8x - 3) - log_x {4} = 2[/tex]
[tex] log_x \dfrac{8x - 3}{4} = 2 [/tex]
[tex]log_x (2x - \dfrac{3}{4}) = 2[/tex]
[tex] x^2 = 2x - \dfrac{3}{4}} [/tex]
[tex] 4x^2 - 8x + 3 = 0 [/tex]
[tex] (2x - 1)(2x - 3) = 0 [/tex]
[tex] 2x - 1 = 0 [/tex] or [tex] 2x - 3 = 0 [/tex]
[tex] 2x = 1 [/tex] or [tex] 2x = 3 [/tex]
[tex] x = \dfrac{1}{2} [/tex] or [tex] x = \dfrac{3}{2} [/tex]
Kira runs each lap in 7 minutes. She will run less than 42 minutes today. What are the possible numbers of laps she will run today?
Use n for the number of laps she will run today.
Write your answer as an inequality solved for n.
Answer:
n=6
Step-by-step explanation:
Same and Different
18+(-4)=?
-5+(-18)=?
9+(-18)=?
-18+18=
please help me with the answers!!!
thanks
Answer:
Step-by-step explanation:
18+(-4)= 18 - 4 = 14
-5 + (-18) = - 5 - 18 = - 23
9 + (-18) = 9 - 18 = - 9
-18 + 18 = 0
Timothy puts $1,500 into a savings account. He receives a 1.35% interest rate from his bank.
If he does not add any money to the account and only collects interest, how much will have have by the time he graduates from high school 40 months later ?
Answer:
$2310
Step-by-step explanation:
1500*1.35%=20.25 each month
20.25*40=810
1500+810=2310
() + -8= -6 what is the awnser
Answer:x=2
Step-by-step explanation:
change () to x
x + -8= -6
-6+8=2
x=2
A zoo has 15 emperor penguins. The emperor penguins make up 30%, percent of all the penguins at the zoo. How many penguins live at the zoo?
Answer:50 penguins it’s right
What is the approximate percentage of December's total sales that skateboards accounted for? A. 27% B. 73% C. 56% D. 17%
Answer:
A
Step-by-step explanation:
I chose that and got it right
18/(18+37+11) = 0.272727... which means approx. 27%.
What is the value of x in the equation below?
6 (x minus 8) = 72
Answer:
[tex]x = 20[/tex]
Step-by-step explanation:
[tex]6(x - 8) = 72 \\ 6x - 48 = 72 \\ 6x = 120 \\ x = 20[/tex]
Answer:
The correct answer is c. 20
7/20 write the decimal from of each rational number and determine
Answer:
0.35
Step-by-step explanation:
Step 1:
7/20 = 35/100
Step 2:
35 ÷ 100
Answer:
0.35
Hope This Helps :)
Jake has a 1 in 5 chance of winning the egg and spoon race.
What is the probability that he will not win the race?
4/5
subtract 1/5 from 5/5.
Answer:
4/5
Step-by-step explanation:
if he has a 1/5 of winning, the left over chances he has has to be towards losing because we already know his chance of winning, and there is no in between, so the left over is 4/5
Wyatt mows lawns to earn money. He charges by the area
of the yard. A new customer has a yard in the shape of a
triangle with a base of 200 feet and a height of 70 feet.
What is the area of the yard?
4,667 ft?
540 ft?
7,000 ft
270 ft?
The area of the triangular yard is 7000 ft².
What is the area of a triangle?The entire area enclosed by three sides of a triangle is the area of it.
Given,
The base of the triangle is 200 feet and the height of the triangle is 70 feet.
Therefore, the area of the triangle
= (1/2) × base of the triangle × height of the triangle = (1/2) × 200 × 70 ft² = 7000 ft².
Learn more about the area of a triangle here: https://brainly.com/question/22625791
#Tag #SPJ2
What is the y-intercept of the function f(x)=4 – 5x?
Answer:
The y intercept is 4
Can someone help me
Answer:
I think it is the first one ( 2,0)
but if I am wrong I am sorry
Hello there!
The answer is number one or circle one. Because B is right on top of it. Meaning that it's just one whole number and in this case would be 2.
I hope this helps
on a coordinate grid, line segment ab has midpoint p at (4,-3). if endpoint b has coordinates of (24,16), what is the x-coordinate of point a?
Answer:
(-16,-22)
Step-by-step explanation:
B (24,16)
Mid point (4,-3)
24 is -20 away from 4
16 is -19 away from -3
4-20= -16
-3-19= -22
f(0) = x - 9
Help if you can?!
Answer:
Substitute the given value into the function and evaluate is
− 9
a mixture of sugar and cinnamon is made to sell as a cooking product. Sugar costs $0.65/kg, and cinnamon costs $6.50/kg. How many kilograms of each (to the nearest tenth) should be mixed to form 27 kg of a mixed costing $1.30/kg?
Answer:
sss
Step-by-step explanation:
sss
what are the common multiples of 8 and 12?
Answer:
common multiples: 24, 48, 72, 96
Answer:
common multiples include 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96.
or 12, 24, 36, 48, 60, 72, 84, 96.
Step-by-step explanation:
between what two integers is √15
Answer:
3 and 4
Step-by-step explanation:
Use a calculator:
√15 ≈ 3.87298...
or
since you know √9 = 3 and √16 = 4
and √15 is between √9 and √16 you can say √15 is between 3 and 4
Expand each expressions and combine like terms if possible
3/4(16x – 27 – 1)
Answer:
12x-21
Step-by-step explanation:
3/4(16x-27-1)
3/4(16x-28)
12x-21
Maggie is converting 10,560 feet to miles by using StartFraction 10,560 feet Over 1 EndFraction times StartFraction 1 mile Over 5,280 feet EndFraction. What should be Maggie’s answer?
Her answer should be One-half mile because there are 5,280 feet in a mile.
Her answer should be One-half mile because there are 10,560 feet in a mile.
Her answer should be 2 miles because there are 5,280 feet in a mile.
Her answer should be 2 miles because there are 10,560 feet in a mile.
Answer: C
Step-by-step explanation:
The answer is “ Her answer should be 2 miles because there are 5,280 feet in a mile“
(Aka: C/3.)
If you don’t belive me that’s okay, but it’s right, I just finished the pre-unit test . Hope you do good and keep those grades up!!
Comment Done if you read this
WILL MARK BRAINLIEST
If a + b = 10, and ab = 16, then find the value of the following: i .a2 + b2 ii. a3 – b3
Answer:
a² + b² = 68
a3 + b3 = 520
Step-by-step explanation:
Given :
a + b = 10 (1)
ab = 16 (2)
A. Find a² + b²
(a + b)² = a² + 2ab + b² (3)
Substitutite the values of (1) and (2) into (3)
(10)² = a² + 2(16) + b²
100 = a² + 32 + b²
Subtract 32 from both sides
100 - 32 = a² + b²
a² + b² = 68
B. a^3 + b^3
(a + b)^3 = a^3 + b^3 + 3ab(a + b)
(10)^3 = a^3 + b^3 + 3*16(10)
1000 = a^3 + b^3 + 480
a^3 + b^3 = 1000 - 480
a3 + b3 = 520
Convert 6 20
into a decimal
Answer:
6.20
wait what do u mean
Need help please. Please help me.
Answer:
[tex]\frac{5}{14}[/tex]
Step-by-step explanation:
It's important to note here that fractions are just another way of representing division.
Therefore, [tex]\frac{\frac{1}{4}}{\frac{7}{10}}[/tex] is the same thing as [tex]\frac{1}{4} \div \frac{7}{10}[/tex].
To divide two fractions, we multiply by the reciprocal.
[tex]\frac{1}{4} \cdot \frac{10}{7}[/tex]
We can now multiply the numerators and denominators.
[tex]1\cdot 10 = 10\\7 \cdot 4 = 28\\\\\frac{10}{28}[/tex]
We can simplify this fraction by dividing both the numerator and denominator by 2.
[tex]10\div 2 = 5\\28 \div 2 = 14[/tex]
So, [tex]\frac{5}{14}[/tex].
Hope this helped!
Please help guys lol I have no clue how to do this... it’s the square root method?
Answer:
2 seconds.
Step-by-step explanation:
s=16t² -- (1)
s=64. (given)
Put value of s in (1)
64=16t²
16t²=64
t²=64/16
t²=4
t=√4
t=2 seconds.
Hope this helps :-)
What is the measure of ZA?
Please help
Jose has $178.74 in his checking account. He wrote checks for $36.52, $18.92, and $25.93. He also deposited $300.00, $100.00, and $205.16. What is the final balance in Bob's checking account?V
Answer:
$702.53
Step-by-step explanation:
Start with Jose's initial balance.
[tex]178.74[/tex]
He wrote checks, so we have to subtract the total amount the checks were worth. Let's first add the three amounts.
[tex]36.52+18.92+25.93[/tex]
Solve.
[tex]81.37[/tex]
Subtract the total amount of the checks from Jose's initial balance.
[tex]178.74-81.37[/tex]
Solve.
[tex]97.37[/tex]
The amount above is now what is in Jose's checking account.
But, he also deposited money, meaning he put money in his checking account. Now, let's add the three amounts he deposited.
[tex]300.00+100.00+205.16[/tex]
Solve.
[tex]605.16[/tex]
The amount above is what Jose adds to his checking out.
Add the total value of the deposited money and his new balance.
[tex]605.16+97.37[/tex]
Solve.
[tex]605.16+97.37=702.53[/tex]
What is the slope of the line through (-7,-2) and (-6, 7)?
Choose 1 answer:
1
9
B
-9
9
Answer:
9Step-by-step explanation:
Slope is rise over run or change y/change x.
7 - -2 = 9
-6 - -7 = 1
Slope = 9/1 or 9
___________________________________________________I AM ALWAYS HAPPY TO HELP :)Please help will name brainliest:
Make y the subject of the formula x=a-2by²
Answer:
y = ± [tex]\sqrt{\frac{a-x}{2b} }[/tex]
Step-by-step explanation:
Given
x = a - 2by² ( add 2by² to both sides )
x + 2by² = a ( subtract x from both sides )
2by² = a - x ( divide both sides by 2b )
y² = [tex]\frac{a-x}{2b}[/tex] ( take the square root of both sides )
y = ± [tex]\sqrt{\frac{a-x}{2b} }[/tex]
Answer:
[tex]y = a - x \di2b[/tex]
Step-by-step explanation:
[tex]2b {y }^{2} = a - x[/tex]
[tex]2b {y}^{2} \div 2b = a - x \ \div 2b[/tex]
[tex] {y}^{2} = a - x \div 2b[/tex]
[tex]y = \sqrt{a - x \div 2b} [/tex]
Solve the equation for x
3x + 5 = 14
Answer:
[tex]x=3[/tex]
Step-by-step explanation:
[tex]3x+5=14[/tex]
Subtract 5 from both sides:
[tex]3x+5-5=14-5[/tex]
[tex]3x=9[/tex]
Divide both sides by 3:
[tex]\frac{3x}{3}=\frac{9}{3}[/tex]
[tex]x=3[/tex]
Is there a dilation that maps shape II onto shape I? If so, what is the scale factor and is it an enlargement or a reduction?
Shape II was dilated by a scale factor of 1/3 to form shape I. This is a reduction since the scale factor is less than 1.
What is transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, reflection, rotation and dilation.
Shape II was dilated by a scale factor of 1/3 to form shape I. This is a reduction since the scale factor is less than 1.
Find out more on transformation at: https://brainly.com/question/4289712
#SPJ1
Answer: A dilation will map shape I onto shape II. The bottom left coordinate of shape I is (1, 1) and the bottom left coordinate of shape II is (3, 3). So, to get the corresponding coordinates of shape II, multiply the coordinates of shape I by 3. This is true for every set of coordinates. So, the scale factor is 3. Because the scale factor is 3, which is greater than 1, the dilation is an enlargement.
what are the coordinates of c’s after abc is translated 3 units to the left and 5 units up
Answer:
the coordinates are -2, -1.
Step-by-step explanation:
Answer:
(-2,-2)
Step-by-step explanation: