Answer:
-√1/5
Step-by-step explanation:
If the product of 5 and w to the second power is equal to the sum of 9 and k, this is expressed as;
(5w)² = 9 + k
Given that k = -4, on substituting;
(5w)² = 9 + (-4)
(5w)² = 9-4
(5w)² = 5
25w² = 5
5w² = 1
w² = 1/5
w = ±√1/5
w = -√1/5
Hence the NEGATIVE value of w is -√1/5
Steven uses a
caliper that has an absolute error of 0.02 millimeters. An object's width is measured
using the caliper, which records a width of 14.5 millimeters. What equation would represent the situation?
A. |x-0.02|=14.5
B. |x-14.5|=0.02
C. |0.02-x|=14.5
D. |14.5-0.02|=x
The relationship between the measured value, error and actual width of the object is |x - 14.5| = 0.02
The measurement error = 0.02 millimeters The measured width of caliper = 14.5 millimetersIf the actual width of the caliper is represented as x
The measurement error is an absolute value which can be calculated thus :|Actual value - measured value| = absolute error |x - 14.5| = 0.02Therefore, the equation which represents the scenario described is |x - 14.5| = 0.02
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Kate is making hamburgers for her friends and has 7 1/2. pounds of hamburger. How many 1/4 pound of hamburgers can she make?
A. 15
B. 4
C. 30
D. 120
Answer:
C
Step-by-step explanation:
1/4 is .25
4 fourths is 1. 4 times 7 equals 28 hamburgers. one half is two fourths. 28+2=30 hamburgers.
No of hamburgers she can make
[tex]\\ \sf\longmapsto 7\dfrac{1}{2}\div \dfrac{1}{4}[/tex]
[tex]\\ \sf\longmapsto \dfrac{15}{2}\times \dfrac{4}{1}[/tex]
[tex]\\ \sf\longmapsto \dfrac{60}{2}[/tex]
[tex]\\ \sf\longmapsto 30[/tex]
Ana and Ling are solving |3x + 14| = -6x.
Is either of them correct?...............................
Explain your reasoning.
Answer:
No! Both are wrong!
Step-by-step Explanation:
the value of absolute function, (|.|) is always positive
that means -6x always has to be positive
and for -6x to be positive x has to be negative
(since, two negatives make a positive)
therefore, the value of x to the equation will be a negative value and not a positive one.
Ana thinks both positive and negative values of x will be the solution, whereas Ling thinks negative value of x can't be a solution. So, they're both wrong.
ONLY negative value of x will be the solution.
Alice needs to mix 4 cups of baking soda with 3 cups of water to make a cleaning solution. How many cups of baking soda are needed for each cup of water?
Answer:
1.33
Step-by-step explanation:
Divide 3 by 3, making it one. Now divide 4 by 3, making it 1.33.
slope of the line (1,2)(4,1)
Answer:
-1/3
Step-by-step explanation:
y2 - y1 / x2 - x1
(1,2)(4,1)
1-2 / 4-1
-1/3
Check
Curtis deposits $550 into a savings account. The account pays 175%
simple interest on an annual basis. If he does not add or withdraw
money from the account, how much interest will he earn after
3 years?
Answer:
2,887.50
Step-by-step explanation:
First changing percent to decimal 175% - 1.75
I = 550 × 1.75 × 3 = 2,887.50
Martha walks at a rate of 1.5 miles per hour. if he walks for 3/4 of an hour, how many miles will she walk?
Answer:
Martha will walk 1.125 miles.
Step-by-step explanation:
3/4 = 0.75
1.5 * 0.75 = 1.125
whats 332.23 (234.320)
Answer:
The answer is 77848.1336
Marjorie needs to cut 5 yards of fabric into sections that are of a yard long. How many sections will she be able to cut from the fabric?
Answer:
5 sections
Step-by-step explanation:
5 yards of fabric is cut in 1 yard long
1 yard +1 yard +1 yard +1 yard +1 yard = 5 yards
5 sections
a tire plant makes 10 tires perm inute. If the tire plant runs for 10hours a day, how many days will it take to make 6 million tires?
Answer:
1,000 days
Step-by-step explanation:
6 tires per minute = 600 per hour
600 per hour times 10 hours = 6,000 per day
Divide 6,000,000 by 6,000 per day = 1000 days.
A bookstore is having a 30% off sale. What is the sale price for a hardcover book that normally retails for $28.99?
Answer:
.30times 28.99=$8.697
he product of two whole numbers is 864 and their sum is 60 . What are the two numbers?
Answer:
Step-by-step explanation:
xy = 864
x + y = 60 Solve for y in the second equation
y = 60 - x
x * (60 - x) = 864 Remove the brackets.
60x - x^2 = 864 Put in order of powers and subtract 864
-x^2 + 60x - 864 =0 Multiply through by -1
x^2 - 60x + 864 = 0
This factors
(x - 36)(x - 24) = 0
Either
x - 36 = 0 in which case
x = 36
or
x - 24 = 0
x = 24
The two numbers are x = 36 and y = 24
of x = 24 and y = 36
15 is 37 1/2 of what number?
Answer: 40
Step-by-step explanation:
15 / 37.5 x 100 = 40
you have $50 in your bank account. Each week you plan to deposit $7 from your allowance and $10 from your paycheck. The equation b= 50 + (10 + 7)w gives the amount b in your account after w weeks. How many weeks from now will you have $150 in your bank account?
Answer:
Step-by-step explanation:
It will take 6weeks for you to have$150
(2) Below is the graph of a function, y = f (x).
(a) Draw a secant line on the graph above from x = 0 to x = 4. (copy the graph if you are writing your answers on a separate paper)
(b) What is the average rate of change of f (x) from x = 0 to x = 4? Show how you get your answer.
Answer:
Step-by-step explanation:
a. To draw a secant line, just draw a straight line connecting the 2 points at x = 0 and x = 4.
b. The average rate of change of this line is going to be the change in y / the change in x. The equation will be (f(4) - f(0))/(4 - 0) = (0 - 3) / 4 = -3/4.
Jake made punch by combining 2.75 liters of orange juice, 1.25 liters of pineapple juice, and 3.5 liters of soda. He then poured equal amounts of all the punch into 3 different containers. How much punch did Jake pour into each container?
Answer:
He poured 2.5 liters into each container
Step-by-step explanation:
Add 2.75, 1.25, and 3.5 together to get 7.5. Divide 7.5 by 3 and you get 2.5 liters per container.
solve include real and non real solutions.
x^2-8=0
Answer:
[tex]x=+2\sqrt{2} and-2\sqrt{2}[/tex]
Step-by-step explanation:
[tex]x^2-8=0[/tex]
[tex]x^2=8[/tex]
[tex]\sqrt{x^2} = \sqrt{8}[/tex]
[tex]x=2\sqrt{2}[/tex]
plus or minus
simplify 2√2-3/√2+4/√8
Answer:
This is SURD, but the question is not well imputed (isn't well formed) some should be in bracket and left with one outside. check it well
Maria use 2/3 cups of powder mix every 2 gallons of water what is strength of the sports drink
Answer:
a
Step-by-step explanation:
wht not
Calculate the sum.
2/9+5/9
options:
79
718
1845
−39
Answer:
7/9
Step-by-step explanation:
2+5=7
Denominator stays the same 9
So it's 7/9
Answer:
You sure bout that this is the answer
Step-by-step explanation:
2/9=0.2~ + 5/9=0.5~ =0.777777778 or 7/9
The tallest living man at one time had a height of 224 cm. The shortest living man at that time had a height of 97.8 cm. Heights of men at that time had a mean of 174.21 cm and a standard deviation of 5.56 cm. Which of these two men had the height that was more extreme?
Answer:
the shorter man
Step-by-step explanation:
224 cm minus 174.21 = 49.79
49.79/5.56= approximately 9 standard deviations from the mean.
174.21 minus 97.8= 76.41
76.41/5.56= approximately 14 standard deviations from the mean.
bc the shorter man's height is more SD's away from the mean (average) height his height difference is more extreme.
whats 4(-2-9.2x)=3(2-7.6x) solve for x
Answer:
x = -1
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
[tex](4)(-2) + (4)(-9.2x)=(3)(2)+(3)(-7.6x)[/tex] [tex]-8 - 36.8x = 6 - 22.8x[/tex] [tex]-36.8x - 8 = -22.8x + 6[/tex]Step 2: Add 22.8x to both sides.
[tex]-36.8x - 8 + 22.8x = -22.8x + 6 + 22.8x[/tex] [tex]-14x - 8 = 6[/tex]Step 3: Add 8 to both sides.
[tex]-14x - 8 + 8 = 6 + 8[/tex] [tex]-14x = 14[/tex]Step 4: Divide both sides by -14.
[tex]\frac{-14x}{-14}=\frac{14}{-14}[/tex] [tex]x = -1[/tex]Therefore, x = -1.
The solution to the equation 4( -2 - 9.2x ) = 3( 2 - 7.6x ) is x = -1.
What is the solution to the equation?Given the equation in the question:
4( -2 - 9.2x ) = 3( 2 - 7.6x )
To solve the equation 4(-2 - 9.2x) = 3(2 - 7.6x), distribute the constants and then isolate the variable x:
4( -2 - 9.2x ) = 3( 2 - 7.6x )
4 × -2 + 4 × -9.2x = 3( 2 - 7.6x )
-8 - 36.8x = 3( 2 - 7.6x )
-8 - 36.8x = 3 × 2 + 3 × -7.6x
-8 - 36.8x = 6 - 22.8x
Collect like terms:
-8 = 6 - 22.8x + 36.8x
-8 - 6 = - 22.8x + 36.8x
Add like terms:
-14 = 14x
14x = -14
Divide both sides by 14:
x = -14/14
x = -1
Therefore, the value of x is -1.
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A line with a slope of -3 passes through (-8,p) and (2,3p).
Find the value of p.
(3p-p)/(2-(-8))= -3
2p/10= -3
2p= -30
p= -15
Answer:
-15
Step-by-step explanation:
Given that a line has a slope of -3 and passes through the points (-8,p) and (2,3p) . And we need to find out the value of p . As we know that the slope is ,
[tex]\longrightarrow\sf slope = y_2-y_1/x_2-x_1[/tex]
Substituting the respective values ,
[tex]\longrightarrow[/tex] -3 = (p - 3p)/(-8-2)
Simplify ,
[tex]\longrightarrow[/tex] -3 = -2p/-10
[tex]\longrightarrow[/tex] -3 = p/5
[tex]\longrightarrow[/tex] p = 5 * -3
[tex]\longrightarrow[/tex] p = -15
Hence the value of p is -15 .Which glide reflection describes the mapping triangle ABC to triangle DEF?
compare the expressions
3 X 10 and 15 x 20 without multiplying them. Explain how she
could compare the factors to compare the expressions without
multiplying them.
Answer:
yes
Step-by-step explanation:
Well 3 is a factor of 15, and 10 a factor of 20. So 15/3 is 5, and 20/10 is 2.
5*2 is 10, which means that 15*20 is 10 times greater than 3*10.
If you actually did multiply them, 15 by 20 is 300 and 3 by 10 is 30. It would logically be correct.
Danielle and 8.25% commission on everything she sells at the electronics store where she works. She also earns a base salary of $650 per week. How much did she earn last week if she sold $4,900 in electronics merchandise? Round your intermediate calculations and answer to the nearest cent.
Step-by-step explanation:
She earns $1046 that week
PLEASE HELP ME, GUYS!
Answer:
Okay I got youuu
Step-by-step explanation:
From the point Z go 5 right and 3 units up (5,3), and label it Z'. Do this for L and X, too.
The final answer is Z'(2,3) X'(5,0) L'(3,-1)! Hope this helps!
Distributive property 79x36
Answer:
1(79 x 36)
Step-by-step explanation:
.Mother bought 4 1/3 kilograms of bananas and 4 4/5 kilograms of oranges for her children. How many kilograms of fruits did she buy in all?
Step-by-step explanation:
[tex] \bf \underline{Given-} \\ [/tex]
[tex] \sf{Mother \: bought \: 4 \frac{1}{3} \: kilograms \: of \: bananas \: and } \\ \sf{ 4 \frac{4}{5} \: kilograms \: of \: oranges \: for \: her \: children.} \\ [/tex]
[tex] \bf \underline{To \: find-} \\ [/tex]
[tex] \sf \: Total\:kilograms \: of \: fruits \: did \: she \: buy \: in \: all \: ? \\ [/tex]
[tex] \bf \underline{Solution-} \\ [/tex]
[tex] \sf{Total \: weight \: of \: fruits = \bigg(4 \frac{1}{3} + 4 \frac{4}{5} \bigg)Kg} \\ [/tex]
[tex] \sf{ = \bigg(\frac{13}{3} + \frac{80}{5} \bigg)Kg} \\ [/tex]
Take LCM of 3 & 5 is 15.
[tex] \sf{ = \bigg( \frac{65 + 240}{15} \bigg)Kg} \\ [/tex]
[tex] \sf{ = \frac{305}{15} \: Kg} \\ [/tex]
[tex] \sf{ =2 \frac{5}{15} \: Kg} \\ [/tex]
Given the geometric Saquence 5.14, 45--- find the next three term & the tenth term
Answer:
Step-by-step explanation:
You have some mistakes in the sentence. Also, can you add more information? I'd be glad to help you