[tex]\sf{\bold{\blue{\underline{\underline{Given}}}}}[/tex]
One number is six more than a second number. four times the first is 10 less than 6 times the second.⠀⠀⠀⠀[tex]\sf{\bold{\red{\underline{\underline{To\:Find}}}}}[/tex]
Find the two numbers.⠀[tex]\sf{\bold{\purple{\underline{\underline{Solution}}}}}[/tex]
⠀⠀⠀⠀
In questions given,One number is six more than a second number.
if second number is a
first number is a+6.
and,
four times the first is 10 less than 6 times the second.
So,
4×(a+6)=6a-10
we have to solve this.
[tex]\bold{4\times (a+6)=6a-10 }[/tex]
[tex]\bold{4a+24=6a-10 }[/tex]
[tex]\bold{6a-4a=24+10 }[/tex]
[tex]\bold{2a=34 }[/tex]
[tex]\bold{ a=\dfrac{34}{2} }[/tex]
[tex]\bold{ a=17 }[/tex]
we,get our second number =a=17.
So,
first number =a+6=17+6=23
Factor 7w2−175.(1 point)
−7(w−25)
7(w−25)
7(w−5)(w+5)
7(w−5)(w−5)
Answer:
7(w + 5)(w -5)
Step-by-step explanation:
a² - b² = (a + b)(a - b)
7w² - 175 = 7w² - 7*25
= 7(w² - 25)
= 7(w² - 5²)
= 7(w + 5)(w -5)
The art club has a goal to raise at least $500 by selling paintings to the student body for $15 each. They have already spent $70 buying paint. Which inequality could be used to find the number of paintings the art club needs to sell to reach their goal?
Answer choices included please help.
Answer:
D
Step-by-step explanation:
15x - 70 ≥ 500
Someone please help me with this and thank you
Answer:
Your answer is D 18 sq ft
Step-by-step explanation:
Hope I help!
Guarantee this answer is correct ;)
Compare a dilation to the other transformations:
Tanslation, reflection, rotation.
Answer:
..........................
Divide. Round your answer to the nearest tenth. 85.5233 - 0.215?
Answer:
85.5233 divided by 0.215 = 397.8
Step-by-step explanation:
Dover City Printers needs to ship 419 graduation programs to a university. The printing company can fit 24 programs in each box. How many programs will be in the partially filled box?
Answer:
There will be 11 graduation programs in partially filled box.
Step-by-step explanation:
It is given that:
Number of graduation programs need to be shipped = 419
Number of programs in each box = 24
Number of boxes = [tex]\frac{419}{24}[/tex]
Number of boxes = [tex]17\frac{11}{24}[/tex]
Here,
17 is the number of full boxes and 11 is the remainder.
Therefore,
There will be 11 graduation programs in partially filled box.
Answer:
11
Step-by-step explanation:
hope this helps plz mark brainliest
Determine the length of AY if ARAY is a 30°-60°-90° triangle and RY has a length of 48 centimeters.
Answer:
48√3 cm
Step-by-step explanation:
I'm assuming that ∠A = 30°, ∠R = 60°, and ∠Y = 90°.
The sides of a 30-60-90 triangle are in the ratio 1:√3:2.
RY is opposite the 30° angle and has length 48 cm.
AY is opposite the 60° angle, so the length of AY = 48√3 cm.
Find the value of X.
Answer:
i think 32
Step-by-step explanation:
128÷12 = 10.6666666666
10.6666666666×3 = 32
Make me brainliest
Y = 3x – 1 and y = -2x + 9
show work please
Answer:
x=2
Step-by-step explanation:
Since both equations are equal to y, we can solve this system by setting them equal to each other:
3x-1=-2x+9
-1=-5x+9
-10=-5x
2=x
x=2
Therefore x=2
Is this a function pls help
Answer:
yup it is :)
Step-by-step explanation:
Simplify the following expression. log(x^4) -log(x^3) O A. log(x1 - x3) B. log(x) C. log(x4 + x3) O D. log(x)
The simplified form of the given logarithms expression log(x⁴) - log(x³) is logx, Option D is correct by properties of logarithms.
Using the property of logarithms that states "the difference of the logarithms of two numbers is the logarithm of the quotient of the two numbers,"
we can simplify the expression as:
log(x⁴) - log(x³) = log(x⁴/x³)
We know that x⁴/x³ = x⁴⁻³
= x,
log(x⁴) - log(x³) = log(x)
Therefore, the answer is (D) log(x).
To learn more on Expressions click:
https://brainly.com/question/14083225
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$7.00 × 20 = $140 in 2 hours
Answer:
What are we answering??
Step-by-step explanation:
And 700(20) = 14,000
If x > 1, then which of the following has the least value
Please help me, I will give brainliest, I am struggling badly.
Answer:
im pretty sure it is b
Step-by-step explanation:
Solve using the standard algorithm:
25 x 16
Answer:
400 !
Step-by-step explanation:
Answer:
400
Step-by-step explanation:
25
x16
____
150
+250
____
400
have a good day! c:
If f(x) = x2 -3, then what is f(-5)?
Answer:
22
Step-by-step explanation:
So if you have f(x) = x^2 - 3, then all you have to do is plug in x = -5 into the equation. This would be (-5)^2 - 3 = 25 - 3 = 22.
I hope that makes sense!
Jess wants to measure how much water she uses in the shower each morning. She finds
that her shower fills up a 1-gallon jug in 15 seconds. If Jess takes an 8-minute shower,
how much water does she use?
Answer:
32 gallons of water
Step-by-step explanation:
8 minutes = 480 seconds.
set up a proportion:
1/15=x/480
we have to solve for x:
15x=480
x=32.
Jess uses 32 gallons of water.
PLS HELP ASAP!!!!!!!!!! BRAINLIEST TO FASTEST ANSWER!!!!!!!!!
16 kittens were adopted from the animal shelter today. There are 25 kittens left. How many kittens did the shelter have to be adopted?
Answer:
9.
Step-by-step explanation:
Please Help !!!!!!!!!!!!!!!!!!!!!!!!!!!!! 20% of your family likes marshmallows melted on top of the sweet potato casserole. If you have 18 people in your family, which proportion could be used to find the number of people who like marshmallows melted on top of the sweet potato casserole?
A : 20/100 = 18/ x
B : 18/20 = x/100
C : x/18 = 20/100
D : 20/x = 18/100
Answer:
C
Step-by-step explanation:
let's say the 18 was the 100 and x was the 20% of that 100, if they equal the same just take 20% of 18 (you will get 3.6)
Therefore is C : x/18 = 20/100.
In a sequence of 10 terms, the first term is 1, the second term is x, and each term after the second is the sum of the previous two terms. Is 12 the fifth term in the sequence?
Answer:
NO, 12 is not the fifth term in the sequence
Step-by-step explanation:
Given the sequence of 10 terms:
First term a1 = 1
second term a2 = x
third term a3 = a2+a1
Since each term after the second is the sum of the previous two terms then;
a3 = x+ 1
a4 = a3 + a2
a4 = x+1+x
a4 = 2x+1
Also
a5 = a4+a3
a5 = 2x+1+x+ 1
a5 = 3x+2
Get x:
The common difference d = a2-a1 = a3-a2
d = x-1 = x+1-x
x-1 = x+1-x
x-x+x = 1+1
x = 2
Get the fifth term:
Recall that a5 = 3x+2
a5 = 3(2)+2
a5 = 6+2
a5 = 8
Hence the fifth term of the sequence is 8 not 12
8x + 58 > 500 what is this?
Answer:
[tex]8x + 58 > 500 \\ 8x > 500 - 58 \\ 8x > 442 \\ x > \frac{442}{8} \\ \boxed{x > 55.25}[/tex]
x>55.25 is the right answer.You have 2 different savings accounts. For Account A, the simple interest earned after 18 months is $8.33. For Account B, the simple interest earned after 15 months is $13.75. If the interest rate is 3.7% for Account A and 2.2% for Account B, how much is the principal in each account? Which account earned you the most interest the first month? Explain your answer.
Answer:
4kt lit top itty bitty bitwxh
express 1400 as a product of its prime factors in index form write the prime factors in ascending order?
Answer:
[tex]1400=2^3*5^2*7[/tex]
Step-by-step explanation:
Prime Factors
The first prime numbers are:
{1,3,5,7,11,13,...}
To find the prime factors of any integer number, we successively divide the number by all the possible prime numbers, probably more than once.
Let's find the prime factors of 1400.
Dividing by 2 while possible:
1400/2 = 700
700/2 = 350
350/2 = 175
3 is not a divisor of 175, so we try 5:
175/5 = 35
35/5 = 7
Since the last result is a prime number, no more tries are necessary. The product of prime factors in index form is:
[tex]\boxed{1400=2^3*5^2*7}[/tex]
Connie Harris, in charge of office supplies at First Capital Mortgage Corp., would like to predict the quantity of paper used in the office photocopying machines per month. She believes that the number of loans originated in a month influence the volume of photocopying performed. She has compiled the following recent monthly data:
Number of Loans Originated in Month Sheets of Photocopy Paper
used (1000s)
45 22
25 13
50 24
60 25
40 21
25 16
35 18
40 25
(a) Develop the least-squares estimated regression equation that relates sheets of photocopy paper used to loans originated.
(b) Use the regression equation developed in part (a) to forecast the amount of paper used in a month when 42 loan originations are expected.
(c) Compute the coefficient of determination r2. Comment on the goodness of fit.
(d) Compute the correlation coefficient.
(e) Is there a significant relationship between the two variables? Use a significance level of 0.05 and explain using numerical examples.
Answer:
y = 0.325X + 7.5 ;
21.5 ;
R^2 = 0.7655 ;
r = 0.8749
Step-by-step explanation:
No. of loans originated ____ sheets of p/paper
45 ______________22
25 ______________ 13
50 _____________ 24
60 _____________ 25
40 _____________ 21
25 _____________ 16
35 _____________ 18
40 _____________ 25
Using the linear regression calculator : the linear model obtained is:
y = 0.325X + 7.5
y = predicted variable = sheets of photocopy paper
X = number of loans originated
0.325 = slope
Intercept = 7.5
B.)
X = 42
y = 0.325(42) + 7.5
y = 21.15
C.)
The Coefficient of determination as determined using the correlation coefficient calculator is :
R^2 = 0.7655 ; this means that about 76.55% of change in number of photocopy performed is explained by the number of loans originated.
D.) The correlation Coefficient (r) :
r = sqrt(R²)
r = sqrt(0.7655)
r = 0.8749
This shows that a strong positive correlation exists between the number of loans originated and the volume of photocopying done.
TUS
Expand the expression.
-4(1.2h – 0.5)
Answer:
-4.8h + 2
Step-by-step explanation:
Use the distributive property to expand the expression.
-4(1.2h - 0.5)
-4 · 1.2h = -4.8h
-4 · -0.5 = 2
Therefore, the expanded expression is -4.8h + 2.
Jason is purchasing a ping-pong table. The regular price is $126. It is on a sale at a 25% discount. What will the cost be before tax?
Answer:
$94.50
Step-by-step explanation:
you saved $31.50
hayden is comparing the regular attendance of two karate clubs he draws the following pie charts?
Answer: A) B.
B) D.
C) D.
Step-by-step explanation: It’s easy, next time show the people the image of the question, because how do you expect us to answer it?
or a given recipe, 6 cups of flour are mixed with 12 cups of sugar. How many cups of flour should be used if 32 cups of sugar are used?
Answer:
16 cups of flour.
Step-by-step explanation:
Twelve is six twice, so if we need half the amount of flour we use for sugar, we just do 32 / 2 and you get sixteen!
[IMAGE] i need help with 1-4 pls help ASAP
Answer:
Step-by-step explanation:
2000≤20x +475
x = 76.25 so 76 people may attend
graph a number line from 0 to 76 . include the end points
1) no more 76 may attend
2)less than 77 may attend
3) between 0 and 76 may attend
What is the percent of change from 4,000 to 80
-98 is the percent of change.
Answer:
98%
Step-by-step explanation:
