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Need help with question 3!!! Please List several alternative names for Modern Dance. A 40 -inch board is to be cut into three pieces so that the second piece is 4 as long as the first piece and the third piece is 5 times as long as the first piece. If x represents the length of the first piece, find the lengths of all three pieces. The lines represented by the equations y = -X 3 and 5y + 5x = -15 Scientists and nutritionists have long suspected that high-fructose corn syrup, used tosweeten soft drinks, is one of the causes of childhood obesity. In a recent study, at theUniversity of Cincinnati, researchers found that mice that drank water with addedfructose ate less solid food, gained more weight, and put on 90% more body fat thanmice that drank only water. Scientists concluded that fructose may affect metabolism ina way that favors fat storage.What is the independent variable?The mice that drank only waterThe presence of fructose in their dietThe quantity of water providedThe weight gained by the mice A proposed change in income tax suggests charging 20% on a person's income up to $30,000 and then 40% on anyincome above that. If a person has an income of $47,000, what will be their income tax under the proposal?Give your answer in dollars to the nearest dollar. Do not include commas or the dollar symbol in your answer.Provide your answer below please answer this one What single decimal multiplier would you use to decrease by 6% followed by a 19% increase? 1 5/16 divided by 7/12 Please Fill in the Blanks:a.) dictionb.) thesis statementc.) parallel structured.) themee.) in medias resf.) ambiguousg.) objective1.) A summary of a text should be ______, free from bias or personal judgment.2.) Using ______ (using the same grammatical structure to express related ideas) in your writing creates sentences that are balanced and organized.3.) Not all stories have clear themes; some have ______ themes, which are open to more than one interpretation.4.) An author's word choice, or ______, should be clear, vivid, and precise.5.) A(n) ______ is one or two sentences that state the focus of a piece of writing.6.) ______ is a technique in which a narrative begins telling the story in the middle, at a crucial point in the action.7.) The ______ of a story reveals a truth about human nature or life and, often, the author's attitude toward life. slope of one dotted lines:slope of the reflection line: consider the endosymbiont theory and the fact that chloroplasts contain dna molecules. given that chloroplast DNA has genes, Where are streams located? Round this number to the nearest HUNDREDS place1 point5,230 A soccer player applies a force of 48.4 N to a soccer ball while kicking it. If the ball hasa mass of 0.44 kg, what is the acceleration of the soccer ball?A. 27.3 m/s2B. 21.3 m/s2C. 110 m/s2D. 104 m/s2 I can't figure this out, help- Ben and Ella are filling goodie bags for a party. Each goodie bag needs an eraser, a bubble wand, and a few candy bar bites. Ben filled 25 goodie bags in 20 minutes. Ella filled 27 goodie bags in 24 minutes. Who filled goodie bags at a faster pace? Rewrite the following using the GCF and the distributive property:32 + 54 Can someone please help Larkspur Incorporated factored $124,300 of accounts receivable with Cullumber Factors Inc. on a without-recourse basis. Cullumber assesses a 2% finance charge of the amount of accounts receivable and retains an amount equal to 5% of accounts receivable for possible adjustments. Required:Prepare the journal entry for Larkspur Incorporated and Cullumber Factors to record the factoring of the accounts receivable to Cullumber.